Last year, Goran biked 384 miles. This year he biked c miles, using c write an expression for the total number of miles he biked

Answers

Answer 1

Answer:

384 + c = m.

Step-by-step explanation:

You can use another variable such as t to represent "total." I used m to represent total "miles." The variable you use to represent the total shouldn't matter but these two variables make the most sense. 384 for last year's miles plus c, which is this year's miles, equals the total miles. A very simple, straight forward and easy equation to write.

Answer 2
The answer is 384+c=m

Related Questions

You have an above ground pool that is 20 feet in diameter. One bag of sand does three square feet. How many bags of sand do you need?

Answers

Answer:    Number of sand bags are 105

Step-by-step explanation:

Alright, lets get started.

The diameter of pool is given as : [tex]20 \ \text{feet}[/tex]

The radius of pool will be : [tex]r=\frac{20}{2}=10[/tex]

So the area of the pool will be:

Area = [tex]\pi r^2[/tex]

Area = [tex]\pi *10^2[/tex]

Area = [tex]100 \pi[/tex]

Area = [tex]314.16[/tex]

3 square feet is covered by 1 sand bag, so

314.16 square feet will be covered by : [tex]\frac{314.16}{3}[/tex]

So, no of sand bag = [tex]104.7[/tex]

Rounding off to nearest number

Number of sand bags are 105  :   Answer

Hope it will help :)

The student will need 105 bags of sand.

The student asked about the necessary quantity of sand bags required to cover an area for an above ground pool. First, we need to calculate the area of the pool's base. Since the pool is circular with a diameter of 20 feet, we can use the formula for the area of a circle, which is A = [tex](\pi d^2)/4,[/tex] where d is the diameter.

The area A works out to [tex]\(A = \pi \times (20 feet)^2 / 4 = \pi \times 400 / 4 = \pi \times 100)[/tex] square feet. Assuming [tex]\pi[/tex] is approximately 3.14, the area is about 314 square feet.

Since one bag of sand covers 3 square feet, we divide the total area by the coverage area per bag: 314 square feet / 3 square feet per bag. This calculation gives us approximately 104.67 bags. Since we can't have a fraction of a bag, we need to round up to the nearest whole number. The student would therefore need 105 bags of sand to cover the area of the pool evenly.

Based on historical data, an insurance company estimates that a particular customer has a 2.4% likelihood of having an accident in the next year, with the average insurance payout being $2700.


If the company charges this customer an annual premium of $250, what is the company's expected value of this insurance policy?

Answers

Final answer:

The expected value of an insurance policy for the company is calculated by subtracting the expected costs (probability of accident * average payout) from the premium paid by the customer. In this case, the insurance company can expect to retain $185.20 from the annual premium after estimated payouts.

Explanation:

The subject of this question falls under the category of Mathematics, specifically in the field of probability and expected value. The expected value of an insurance policy is calculated as the product of the probability of an event (an accident in this case) and the corresponding payout, subtracted from the cost or premium of the policy. Here the insurance company estimates a 2.4% likelihood of an accident, which is a probability of 0.024, and the average payout being $2700.

First, determine the expected payout by the insurance company, which is computed by multiplying the probability of the event by the payout: 0.024 * $2700 = $64.80.

Then subtract this from the premium to calculate the company's expected value: $250 - $64.80 = $185.20.

This means, on average, the insurance company can expect to retain $185.20 from the annual premium after accounting for the estimated payouts from accidents.

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The expected value of this insurance policy for the company is approximately -$185.20.

Given information:

Likelihood of having an accident: 2.4% (expressed as a decimal, so (p = 0.024))

Average insurance payout: $2700

Annual premium charged: $250

The expected value ((E)) can be calculated as follows:

[tex][ E = (p \cdot \text{{Payout}}) - \text{{Premium}} ][/tex]

Substitute the given values: [ E = (0.024 x  2700) - 250 ]

Calculating: [ E = 64.8 - 250 = -185.2 ]

The expected value of this insurance policy for the company is approximately -$185.20.

Interpretation:

A negative expected value means that, on average, the insurance company is expected to lose money per policy sold.

In this case, the company charges a premium of $250 but expects to pay out an average of $2700 per accident. Therefore, the expected loss is $185.20 per policy.

Solve for x:
2x-4y=12

Answers

Answer:

x = 2y + 6

Step-by-step explanation:

2x - 4y = 12

2x = 4y + 12

x = 2y + 6

To solve for 'X' in the equation 2x - 4y = 12, isolate 'X' by adding 4y to both sides, resulting in the equation 2x = 4y + 12. Further, divide the entire equation by 2 to get X = 2y + 6. The final value of 'X' would depend on the value of 'Y'.

To solve for X in the equation 2x - 4y = 12, we can proceed in the following manner:

Isolate X on one side of equation. In order to do this, we add 4y to both sides of the equation, thus changing the equation to 2x = 4y + 12.

Now, to solve for X, we need to divide the entire equation by 2. Therefore, the final equation is ready: X = 2y + 6.

Thereby, you have now solved for 'X' in the equation. Kindly note that as there is a 'y' variable involved as well, the final value of 'X' would depend on the value of 'Y'.

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The country of Freedonia has decided to reduce its carbon dioxide emission by 35% each year. This year
the country emitted 40 million tons of carbon dioxide.
Write a function that gives Freedonia's carbon dioxide emissions in million tons, E(t), t years from today.

Answers

Answer:

The quantity after t years 40 [tex](0.65)^{\textrm t}[/tex] millions tons

Step-by-step explanation:

Given as :

The rate of decrease of carbon dioxide each other = 35%

The quantity of carbon dioxide emitted this year = 40 million tons

Let the quantity of carbon dioxide emitted after t year = A millions tons

Now, According to question

The quantity of carbon dioxide emitted after t year = The quantity of carbon dioxide emitted this year × [tex](1-\dfrac{\textrm rate}{100})^{\textrm time}[/tex]

Or, A millions tons = 40 millions tons × [tex](1-\dfrac{\textrm 35}{100})^{\textrm t}[/tex]

Or, A millions tons = 40 millions tons × [tex](\dfrac{100-35}{100})^{\textrm t}[/tex]

Or, A millions tons = 40 millions tons × [tex](\dfrac{65}{100})^{\textrm t}[/tex]

Or, A millions tons = 40 millions tons × [tex](0.65)^{\textrm t}[/tex]

So,The quantity after t years = A = 40  [tex](0.65)^{\textrm t}[/tex] millions tons

Hence The quantity after t years 40 [tex](0.65)^{\textrm t}[/tex] millions tons    Answer

Chris wants to create a rectangular rose garden in a yard. He has 32 meters of garden fencing to go around the garden and he has to use it all.

Answers

Answer:

dimeonsion 1 should be 3x13 dimension 2 should be 6x10 dimension 2 is what chris should choose

Step-by-step explanation:

ik this is from prodigy lol

Chris should create a rectangular rose garden with dimensions 8 meters in length and 8 meters in width to use all 32 meters of garden fencing.

To begin, let's assume the rectangular garden has a length (L) and a width (W). Since the garden is enclosed by fencing on all sides, the perimeter of the garden would be equal to the total length of the fencing, which is 32 meters.

Perimeter = 2L + 2W

Since we know the perimeter is 32 meters, we can set up the equation:

32 = 2L + 2W

To maximize the area of the garden, Chris needs to find the dimensions that will yield the largest possible area for a given perimeter. The area (A) of a rectangle can be calculated using the formula:

Area = L * W

Since we know the perimeter is 32 meters:

2L + 2W = 32

Solving for L:

2L = 32 - 2W

L = 16 - W

Now, substitute this value of L into the area equation:

Area = L * W

Area = (16 - W) * W

Expand the equation:

Area = 16W - W²

Now, this equation represents the area of the rectangular rose garden in terms of its width (W). To find the value of W that maximizes the area, we can take the derivative of the area equation with respect to W and set it equal to zero:

d(Area)/dW = 16 - 2W = 0

Solving for W:

2W = 16

W = 8 meters

Now that we have the width (W), we can find the length (L) using the previously derived equation:

L = 16 - W

L = 16 - 8

L = 8 meters

Therefore, to create a rectangular rose garden with 32 meters of fencing that utilizes all the available fencing, Chris should make the length and width of the garden 8 meters each.

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(will mark brainliest)

What is the solution to the system of linear equations graphed below?

Answers

Answer:

The answer is d (-21/2 , 2)

Step-by-step explanation:

That's where the lines meet up

A cube is a special right rectangular prism with congruent sides. If a block of cheese is shaped like a cube with a length of 5 inches, find the volume of the block of cheese.

Answers

Answer:

125 cubic inches

Step-by-step explanation:

The formula for the volume of a cube is:

[tex]V=a^3[/tex],

Where V is volume and a is edge length. Let's substitute the edge length of 5 from the problem into this formula.

[tex]V=5^3[/tex]

Now we can simplify. I will rewrite 5 cubed as 5*5*5 for simplicity.

[tex]V=5*5*5[/tex]

[tex]V=125[/tex]

So we have our volume, 125, but what does this mean? We have to figure out the units. Recall that our original unit was inches, thus the final answer is in inches. However, 125 inches does not make much sense, as we are dealing with volume, and not a line or distance. 125 cubic inches is the answer we are looking for, as cubic inches is the unit for volume deriving from inches.

The volume of a block of cheese is 125 in³.

What is a cube?

It is a polygon having six faces.

The volume of a cube is side³.

We have,

Side length = 5 in

Now,

The volume of a block of cheese.

= Side³

= 5³
= 125 in³.

Thus,

125 in³ is the volume of a block of cheese.

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What is the equation of the horizontal asymptote of the graph of y=1x+5−4?

Answers

To find the intersection with the axis / zero, replace.
Solve the equation in X
Final answer:

The equation of the horizontal asymptote of the graph of the function y = 1/(x + 5) - 4 is y = -4.

Explanation:

To determine the equation of the horizontal asymptote of the given rational function y = \frac{1}{x + 5} - 4, we need to analyze the behavior of the function as x approaches infinity.

For rational functions, if the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is the x-axis, which is y = 0.

However, if there is a constant being subtracted from the fraction, as in this case, the horizontal asymptote is shifted vertically by that constant.

Since the degree of the numerator (0, as the numerator is 1 which is constant) is less than the degree of the denominator (1, since x is to the first power), and we subtract 4 from the fraction, the horizontal asymptote is y = -4.

A case of twenty-four 7.8 ounce containers of Greek yogurt costs $12.99.
Calculate the unit price of the Greek yogurt (cost per ounce). Round to the
nearest cent.

Answers

Answer:

Cost per ounce = $0.07 (7 cents per ounce)

Step-by-step explanation:

Each container is 7.8 ounces and there are 24 of them in a case.

Total weight in ounce of the case is:

7.8 * 24 = 187.2 ounces

It costs $12.99 for the case, which contains 187.2 ounces. We find the cost per ounce of yogurt by dividing the total cost by total ounces in the case.

12.99/187.2 = 0.0693

Rounded to nearest cent (2 decimal places), that would be:

Cost per ounce = $0.07 (7 cents per ounce)

The unit price of the Greek yogurt is $0.07 per ounce.

To calculate the unit price, we need to divide the total cost of the case by the total number of ounces in the case.

First, we determine the total number of ounces in the case by multiplying the number of containers by the ounces per container:

[tex]\[ 24 \text{ containers} \times 7.8 \text{ ounces per container} = 187.2 \text{ ounces} \][/tex]

Next, we divide the total cost of the case by the total number of ounces to find the cost per ounce:

[tex]\[ \frac{\$12.99}{187.2 \text{ ounces}} \approx \$0.0693 \text{ per ounce} \][/tex]

Finally, we round this to the nearest cent, which gives us:

[tex]\[ \$0.0693 \text{ per ounce} \approx \$0.07 \text{ per ounce} \][/tex]

Therefore, the unit price of the Greek yogurt, rounded to the nearest cent, is $0.07 per ounce.

Two companies allow you to pay monthly for your food truck permits. Company A charges a one time fee of $150 and $45 per month. Company B charges a one time fee of $125 and $50 per month. Write an equation or a system of equations and explain what each solution tells you about the situation.

Answers

Step-by-step explanation:

Company A: y = 45x + 150

Company B: y = 50x + 125

let's use the number 5 for x as an example

45(5) + 150 = 375

50(5) + 125 = 375

So both companies charge the same amount of money for food truck permits

Final answer:

To compare the monthly food truck permit costs for two companies, we create linear equations for each company's total cost over time. Company A's cost CA is modeled by CA = 150 + 45x, and Company B's cost CB is modeled by CB = 125 + 50x, where x is the number of months. By analyzing these equations, we can determine which company is more cost-effective based on the duration of the permit usage.

Explanation:

To model the cost of food truck permits for the two companies over time, we need to create a system of linear equations representing the total cost for each company. Let x represent the number of months for which the permit is needed.

For Company A, which charges a one-time fee of $150 and $45 per month, the total cost CA after x months would be:

CA = 150 + 45x

For Company B, with a one-time fee of $125 and $50 per month, the total cost CB after x months would be:

CB = 125 + 50x

Each of these equations relates the total cost to the number of months the permit is held. From these equations, one can see that Company A has a larger initial fee but a lower monthly cost compared to Company B. The break-even point, where the costs of both companies are equal, can be found by setting the equations equal to each other and solving for x:

150 + 45x = 125 + 50x

The break-even point informs at what time period both companies would cost the same for the permits, which could help in making a decision between the two options based on how long you plan to keep the food truck.

Jeremy randomly selected a round tile and a square tile from the sets shown below. What is the probability that Jeremy

selected either two blue tiles or two white tiles?


a. 23/26

b. 4/9

c. 7/72

d. 1/40

Answers

Based on the number of square and round tiles, the probability of selecting two blue tiles and two white tiles is d. 1/40.

What is the probability of Jeremy's selection?

The probability of Jeremy's selection can be found as:

= (Probability of picking round white tile x Probability of picking square white tile) + (Probability of picking round blue tile x Probability of picking square blue tile)

Solving gives:

= (2 / 36 x 9 / 60) + (6 / 36 x 6 / 60)

= 0.025

= 1 / 40

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4 times the sum of a number and -3 is 4 more than twice the number. Write and solve an equation to find the number.

Answers

Answer:

The number is 8.

Step-by-step explanation:

4(x+(-3))-4=2x

4(x-3)-4=2x

4x-12-4=2x

4x-2x-16=0

2x-16=0

2x=0+16

2x=16

x=16/2

x=8

Mae Ling earns a weekly salary of $315 plus a 5.5% commission on sales at a gift shop. How much would she make in a work week if she sold $4,700 worth of merchandise?

Answers

She would make $573.5 in a work if she sold $4,700 worth of merchandise

Step-by-step explanation:

The given is:

Mae Ling earns a weekly salary of $315 plus a 5.5% commission on sales at a gift shopShe sold by $4,700

We need to find how much she would make in a work week

∵ Mae Ling earns a weekly salary of $315

∵ She earns a 5.5% commission on sales

∵ She sold by $4,700 in that week

- Add $315 to the product of 5.5% and $4,700

∴ She made = 315 + (5.5% × 4,700)

∵ 5.5% = 5.5 ÷ 100 = 0.055

∴ She made = 315 + (0.055 × 4,700)

∴ She made = 315 + 258.5

∴ She made = 573.5

She would make $573.5 in a work if she sold $4,700 worth of merchandise

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A DVD player that is marked down for $400 to $350.what is the percentage of decrease

Answers

Answer:

Step-by-step explanation:

Percent increase/decrease has a formula:

[tex]\frac{orig-sale}{orig}*100=%inc/dec[/tex]

For us, this looks like:

[tex]\frac{400-350}{400}*100[/tex]

which simplifies to

[tex]\frac{50}{400}*100[/tex]

which is 12.5%

Mel buys paper plates and paper cups for an event.
The plates are sold in packs. Each pack contains 60 plates.
The cups are sold in packs. Each pack contains 36 cups.
Mel buys exactly the same number of plates as cups.
What is the least number of each pack that Mel buys?

Answers

For this you need to find the lcm of 36 and 60 = 180
therefore :
Mel needs to buy 5 packets of cups


(36*5=180cups)
and 3 packets of plates (60*3=180 plates)

Answer:

3 packs of plates; 5 packs of cups

Step-by-step explanation:

First we have to find the least common multiple of the two. (factor tree, birthday cake) (Strategies not shown) You should get 180.

Next we have to see how many times each number goes into 180.

60 times 3 is 180 plates. 36 times 5 is 180.

That's your answer. Hope this helps!

Four people share 2/3 pounds of peanuts equally.What fraction of a pound of peanuts does each person receive

Answers

Answer: 1/6 of a pound.

Step-by-step explanation: Divide 2/3 pounds by 4 people. To do this, multiply  2/3 by 4's reciprocal, which is 1/4. The reciprocal of a number is basically the reverse form of that number. 4 as a fraction is 4/1. The reciprocal of that would be 1/4. Hopefully you understand.

2/3 times 1/4 is 2/12. Simplify by dividing 2/12 by 2 and 12's greatest common factor: 2. 2 divided by 2 is 1; 12 divided by 2 is 6. Your final answer is 1/6.

Combine the like terms to create an equivalent expression. 4r+14-r-6

Answers

Work:
4r+14-r-6
^ ^
3r+14-6
^
8

Answer:
3r+8
pretty sure it would be 3r+8 if you’re just combining like terms

Struggling un this section

Answers

Answer:

[tex]10[/tex]

Step-by-step explanation:

Combinations : When there are total [tex]n[/tex] choices and you have to choose [tex]k[/tex]of them (in any order)

                 The possible ways [tex]= \ ^n{c_{k}} = \frac{n!}{k!(n-k)!}[/tex]

Here total chances [tex]=5[/tex]

and we have to choose [tex]2[/tex]of them.

Possible ways[tex]=\ ^5{c_{2}}[/tex]

                             [tex]=&\frac{5!}{2!(5-2)!} = \frac{5!}{3! 2!} \\\\=&\frac{5 \times 4\times 3!}{3! 2!} = \frac{5 \times 4}{2} = 10[/tex]

Is (-2,7), (6,2), (-2,-3), 0,9) a function

Answers

No. Because -2 has two outputs. To be a function  each input have to  have one output. I.E

2,3  4,5  6,7  8,9 are functions.

What is the volume of the triangular prism? Round to the nearest tenth.
A. 118.6in cubed
B. 748.8in cubed
C. 1,085.6in cubed
D. 1,184.6in cubed

Answers

Answer:

[tex]V=1,185.6\ in^3[/tex]

Step-by-step explanation:

we know that

The volume of the triangular prism is equal to

[tex]V=BL[/tex]

where

B is the area of the triangular face

L is the length of the prism

we have that

[tex]B=\frac{1}{2}(b)(h)[/tex]

substitute the given values

[tex]B=\frac{1}{2}(12)(10.4)=62.4\ in^2[/tex]

[tex]L=19\ in[/tex]

substitute in the formula of volume

[tex]V=62.4(19)=1,185.6\ in^3[/tex]


Given the functions below, find (f.g) (-1)
f(x) = x² + 3
g(x) = 4x - 3​

Answers

Final answer:

To calculate the composite function (f ∙ g)(-1) for the functions f(x) = x² + 3 and g(x) = 4x - 3, we first find g(-1) which is -7, and then calculate f(-7) which results in 52.

Explanation:Composite Functions

To find the composite function (f ∙ g)(x), we first apply the function g to x, and then apply the function f to the result of g(x). In this case, first find g(-1) and then apply f to that result.

Initialize with g(-1), which is 4(-1) - 3. Simplifying that, we get -4 - 3, which equals -7.

Now, take the result of g(-1), which is -7, and input it into f(x) to get f(g(-1)). Thus, f(-7) = (-7)² + 3. Calculating this gives us 49 + 3, which equals 52. Therefore, (f ∙ g)(-1) = 52.


For f(x) = 4x + 1 and g(x) = x2 - 5, find (f - g)(x)

Answers

Answer:

The value of  [tex]\frac{f}{g} (x)[/tex] is [tex]\dfrac{4x + 1}{x^{2} -5 }[/tex]

Step-by-step explanation:

Given as :

f(x) = 4 x + 1

g(x) = x² - 5

Let the value of [tex]\frac{f}{g} (x)[/tex] = A

So, According to question

[tex]\frac{f}{g} (x)[/tex]  = [tex]\dfrac{f(x)}{g(x)}[/tex]

Or, A = [tex]\dfrac{4x + 1}{x^{2} -5 }[/tex]

So, The value of  [tex]\frac{f}{g} (x)[/tex] = A =  [tex]\dfrac{4x + 1}{x^{2} -5 }[/tex]

Hence, The value of  [tex]\frac{f}{g} (x)[/tex] is [tex]\dfrac{4x + 1}{x^{2} -5 }[/tex] Answer

PLZZZ HELP DOES ANYONE KNOW HOW TO DO THIS?!?!?
Find x and y

Answers

According to the figure, I can safely assume that the 10 cm line and 15 cm line are parallel.

Thus, there are two similar triangles, one with the 10 cm bottom and 15 cm bottom, where one triangle is larger by a factor of 15/10 = 3/2

We know that the 8 cm line segment and y both join to create the side of the large triangle.

8cm + y = the side of the large triangle

Multiplying 8cm by 3/2 gives us 12, since we know the large triangle is 3/2 times larger than the smaller one.

8 + y = 12

y = 4 cm

Finding x is going to be a bit different. We know that the 6 cm line and x form the side of the larger triangle, which we know is 3/2 times larger than x.

x + 6cm = ?

The side of the larger triangle is 3/2x, thus

x + 6 = 3/2 x

Subtract both sides by x

6 = 1/2 x

Multiply both sides by 2

12 cm = x

Thus, y = 4 and x = 12.

Let me know if you need any clarifications, thanks!

Tim bought a book that was marked down to 50% of its original price. He used a coupon to save an additional 40% off of the sale price. If the book's original price was $12.00, what was the final price Tim paid?

Answers

Answer:

The answer would be $3.60

Step-by-step explanation:

50% of $12 is $6. Take 40% off of that and you get $3.60.

Answer:

The answer is 2.40

Step-by-step explanation: That is the answer because 50 percent into 12 is 6 and 40 percent into 6 is 2.4 = 2.40

Matt has started a car washing business to save money for college. Each week, he
washes 3 more cars than he did the week before.

Answers

Answer:

It’s incomplete

Step-by-step explanation:

Answer:

Part A:  An = 6 + 3( n - 1 )

Part B:  36

explanation:

We us the explicit rule 6 + 3( n - 1 ) to find out the he found in the 11th week

6 + 3( n - 1 )

6 + 3( 11 - 1 )

6 + 3( 10 )

6 + 30

36

Hope it helps!

On Saturday Henry spent 1 1/2 hours cutting the grass,1 3/4 hours pulling weeds and, 2 hours sweeping and bagging the weeds. In all, how much time did he spend on yard work?

Answers

Henry spent [tex]5\frac{1}{4}[/tex] hours on yard work.

Step-by-step explanation:

Given,

Time spent on cutting the grass = [tex]1\frac{1}{2}=\frac{3}{2}\ hours[/tex]

Time spent on pulling weeds = [tex]1\frac{3}{4}=\frac{7}{4}\ hours[/tex]

Time spent on sweeping and bagging = 2 hours

Total time spent = Time spent on cutting + Time spent on pulling + Time spent on sweeping

Total time spent = [tex]\frac{3}{2}+\frac{7}{4}+2[/tex]

Taking LCM

Total time spent = [tex]\frac{6+7+8}{4}=\frac{21}{4}[/tex]

Total time spent = [tex]5\frac{1}{4}[/tex] hours

Henry spent [tex]5\frac{1}{4}[/tex] hours on yard work.

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Answer:

Step-by-step explanation:

Eric has two dogs. He feeds each dog 250 grams of dry food each, twice a day. If he buys a 10-kilogram bag of dry food, how many days will the bag last

Answers

Answer:

10

Step-by-step explanation:

okay so if he has 2 dogs and he feeds each dog 250 grams twice a day

if he buys a 10 kilo bag, how many days will it last?

so first off, convert the 250 grams into kilos. which is 0.25

0.25 × 4 = 1 kilo

4 is the amount of times he feeds the dogs.

so in reality, it should take 10 days.

The number of days will the bag last is 10 days.

Given that,

Eric has two dogs. He feeds each dog 250 grams of dry food each, twice a day.

Based on the above information, the calculation is as follows:

Here first we have to convert the 250 grams into kilos so it should be 0.25

And, there is no of times the dog feed is 4

So, it should be 1 kilo

And, there is the purchase of 10 kilos

Therefore, we can conclude that The number of days will the bag last is 10 days.

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What is the area of triangle ABC Round to the nearest

tenth of a square unit

Trigonometric area formula Area ==

54 9 square units

588 square units

618 square units

641 squf units

Answers

Answer:

[tex]A=61.8\ units^2[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of triangle ABC applying the law of sines is equal to

[tex]A=\frac{1}{2}(AC)(BC)sin(C)[/tex]

substitute the given values

[tex]A=\frac{1}{2}(10)(13)sin(72^o)[/tex]

[tex]A=61.8\ units^2[/tex]

Answer:

c) 61.8 square units

Step-by-step explanation:

just took the test

4. Simplify (2 – 3x)(3x2 - 2x -1).

A gx3 - X-2
B-9x² + 12x² - - 2
C 6x² + 4x + 3
D 6x3 - 13x2 + 4x + 3

Answers

Answer:

--9x^3+12x^2-x-2

Step-by-step explanation:

(2-3x)(3x^2-2x-1)

6x^2-4x-2-9x^3+6x^2+3x

-9x^3+6x^2+6x^2+3x-4x-2

-9x^3+12x^2-x-2

please please what is 2*2

Answers

Answer:

4

Step-by-step explanation:

Answer:

2*2 is 4 id4

Step-by-step explanation:

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