Solve the system of equations
y=x-3
y=x^2-5x+6

Answer:

He add $5 more each month

Step-by-step explanation:

* Lets consider this problem as an arithmetic sequence because

 he add every month x dollars more

∵ He start with 50 dollars ⇒ a (1st amount)

∵ He add x dollars every month ⇒ d

∵ He did that for 36 months ⇒ n

∵ He saved 4950 dollars  ⇒ Sn

∵ Sn = n/2[2a + (n - 1)d]

* Where Sn is the total money after n months

 a is the first amount he saved

 d is the money he add more each month

∴ 4950 = 36/2[2(50) + (36 - 1)(x)]

∴ 4950 = 18[100 + 35x]

∴ 4950/18 = 100 + 35x

∴ 35x = 275 - 100 = 175

∴ x = 175/35 = 5 dollars

Answer:

Mike added $5 more each month.

Step-by-step explanation:

We are given that Mike started saving money by putting $50 aside. Each month, he adds more money than the previous month and so by the end of 36 months, he saved $4950.

Assuming this to be an arithmetic sequence:

[tex]S_n = \frac{n}{2} (2a+(n-1)d)[/tex]

where [tex]S_n=4950[/tex], [tex]n=36[/tex], [tex]a=50[/tex] and [tex]d= x[/tex].

Substituting the given values in the above formula to find how much more money does he add each month.

[tex]4950 = \frac{36}{2} (2 \times 50+(36-1)d)[/tex]

[tex]4950=1800+630x[/tex]

[tex]x=\frac{3150}{630}[/tex]

[tex]x=5[/tex]

Therefore, Mike added $5 more each month.

Answer:

Step-by-step explanation:

y = mx, or y = kx, where m or k is the common ratio, or slope, or constant of proportionality.

it can hold water equal to volume of swimming pool.

so volume of swimming pool = L × B ×H

= 50 ×15 × 5 = 3750 cubic feet

The amount of water it will hold is 3750 feet³

According to the problem we need to find the volume of the pool

Volume = length x width x height

Volume = 15 x 50 x 5

Volume = 3750 feet³

So the amount of water it will hold is 3750 feet³

Here is your answer

h= 15

REASON :

Since triangles formed are similar,

so its corresponding sides are proportional.

i.e. 6/h= 8/20

On solving we get,

h= 6/8 ×20

h= 120/8

h= 15

HOPE IT IS USEFUL

Answer:

[tex]h=15 units[/tex]

Step-by-step explanation:

It is given that the two triangles are similar, thus using the similarity conditions, we have

[tex]\frac{6}{h}=\frac{8}{20}[/tex]

Simplifying the above expression, we get

[tex]h={\frac{6{\times}20}{8}[/tex]

⇒[tex]h=3{\times}5[/tex]

⇒[tex]h=15 units[/tex]

Therefore, the value of h will be 15 units.

Answer:

$96

Step-by-step explanation:

2 my brotha boi only 5,560 or so feet and more than that so its certainly 2 laps.

Danny have to run 7 laps to cover 1760 yards.

The perimeter of a shape is the distance around its edge.

A rectangle's perimeter is the total distance covered by its boundaries or sides. Because a rectangle has four sides, the perimeter of the rectangle is the total of the four sides.

The yard is 80 feet yards and 60 yards long.

So, the perimeter of block

= 2(80+ 66)

= 2 x 146

= 292 yards

So, to cover 1760 yards the number of laps to run is

= 1760 / 292

= 6.027

= 7 laps

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Answer: -28

Step-by-step explanation:

f(3) = -5 x (3)^2 - 3 + 20

= -45-3+20

= -28

Hope this helps!

Answer:

-28

Step-by-step explanation:

Answer:

2((10)(10) + 10h + 10h) = 400

100 + 20h = 200

20h = 100

h = 5 cm

Answer:

3695.5 m

1530.73 m

Step-by-step explanation:

Given in the question,

The distance probe travels at an angle of depression 67.4 from the ship to the ocean surface = 4000m

We will use trigonometry identities

1)

distance of probe from top of sea to surface = x

cos(90 - 67.5) = x / 4000

x = 3695.5 m

2)

horizontal distance from ship to probe  = y

sin(90-67.5) = y / 4000

y = 1530.73 m

Answer:

6 years ago

Step-by-step explanation:

12 - 6 = 6

9 - 6 = 3

3 * 2 = 6

Answer:

6 Years ago

Step-by-step explanation:

6 years ago, Ava was 6 and April was 3, making Ava double her age.

The experimental probability of rolling a 1 will likely be less than the theoretical probability of rolling a 1, but not always certainly.

Theoretical probability: This is the probability of an event happening based on pure chance or equally likely outcomes. In the case of rolling a fair number cube, the theoretical probability of rolling a 1 is 1/6, as there is 1 favorable outcome (rolling a 1) out of 6 total possible outcomes.

Experimental probability: This is the probability of an event happening based on actual observations or experiments. In your scenario, the experimental probability would be calculated by dividing the number of times you roll a 1 by the total number of rolls (60).

While the theoretical probability remains constant at 1/6, the experimental probability can fluctuate due to random chance. However, as the number of rolls increases, the experimental probability tends to get closer to the theoretical probability. This is because the Law of Large Numbers states that as the number of random trials increases, the average of the results will approach the expected value or theoretical probability.

Therefore, while you are more likely to get an experimental probability lower than the theoretical probability due to random fluctuations, with enough rolls, the experimental probability will eventually get closer to the theoretical value of 1/6.

Here's an analogy: Imagine flipping a fair coin 10 times. You might get 7 heads and 3 tails, resulting in an experimental probability of heads being 7/10, which is higher than the theoretical probability of 1/2. However, if you flip the coin 1000 times, you're more likely to get closer to the theoretical probability of 1/2 for heads.

Remember, the key takeaway is that the theoretical probability represents the long-term average, while the experimental probability can vary due to random fluctuations in the short term.

The answer is C: Income tax

Answer:

C. Sales tax

Step-by-step explanation:

This is added to items that you buy.

Answer:

R

Step-by-step explanation:

Assuming you are asking for congruent parts, correspondence is the part which corresponds and is also equal.

Here Angle E corresponds and is congruent to Angle R in these congruent triangles.

Answer: I would say, R

Step-by-step explanation: What the expert said. And this is from oddesyware too :(  .

Answer:

6/8

Step-by-step explanation:

all you have todo is multiply 2 on top and the bottom

Answer:

Step-by-step explanation:

2/8 3/12 4/16 5/20 6/24 7/28 8/32 9/36 10/40 11/44 12/44. .25 This is the decimal of 1/4

The factored expression of 9 + 15 is 3(3 + 5)

The expression is given as

9 + 15 =

Express 9 and 15 as a product of 3

9 + 15 = 3 * 3 + 3 * 5

Factor out 3

9 + 15 = 3(3 + 5)

Hence, the factored expression of 9 + 15 is 3(3 + 5)

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Answer:

60%

Step-by-step explanation:

To solve this, we need to divided 18 by 30, and the multiply the result by 100%:

percentage 18 out of 30 = [tex](\frac{18}{30} )[/tex](100%)

percentage 18 out of 30 = (0.6)(100%)

percentage 18 out of 30 = 60%

We can conclude that 18 is the 60% of 30.

Check your work:

Find the 60% of 30

First, we convert the percentage to decimal by diving it by 100%

60% = (60%/100%) = 0.6

Next, we multiply the decimal by 30

(0.6)(30) = 18

We just confirmed that 18 is the 60% of 30.

Answer:

60%

Step-by-step explanation:

Answer:

y = -3x -5

Step-by-step explanation:

Parallel lines are parallel because they never intersect. As such, they have the same slope. The equation 3x - y = 5 can be converted to slope intercept form to find the slope. The slope of the line y = -3x - 7 is -3. Substitute m = -3 and the point (-1,-2) into the point slope form of a line.

[tex]y -y_1 = m(x-x_1)\\y --2 = -3(x --1)\\y + 2 = -3(x+1)\\[/tex]

You can convert the equation to slope intercept form by using the distributive property.

y + 2 = -3(x+1)

y + 2 = -3x - 3

y = -3x - 5

Answer:

Rectangle C  

Step-by-step explanation:

Rectangle C was transformed to Rectangle E.

To see how this occurs, let's follow point F (-2, 5) through the two transformations.

(a) Reflection across the x-axis

The x-coordinate does not change, but the y-coordinate changes sign.

Thus, F ⟶ F' (-2, -5).

(b) Translating up two units

The x-coordinate does not change, but the y-coordinate increases by 2..

Thus, F' ⟶ F" (-2, -3).

You can follow the same transformations for the other three corners of rectangle C.

Rectangle C ⟶ Rectangle E

Answer:

115

Step-by-step explanation:

72 water per day

49 popcorn per day

360 water in 5 days

245 water in 5 days

360-245=115

Please mark Brainliest

Answer:

115 bottles of water

Step-by-step explanation:

To make this easier, let us find out how many items he sells in one day. We can do this by dividing his original sales by 3, since it took him 3 days to sell the original.

[tex]\frac{147}{3} = 49[/tex]

[tex]\frac{216}{3} = 72[/tex]

We now know it took Mr. Nelson one day to sell 49 bags of popcorn and 72 bottles of water.

To find out how much Mr. Nelson sold in 5 days, all we need to do is multiply the numbers by 5.

[tex]49 * 5 = 245[/tex]

[tex]72*5=360[/tex]

It takes Mr. Nelson 5 days to sell 245 bags of popcorn and 360 bottles of water. However, the question is asking how many MORE bottles of water than bags of popcorn will he sell in five days.

Since we have how many he sold in five days, we need to get the difference of the two answers by subtracting them:

[tex]360-245=115[/tex]

Answer:

1

Step-by-step explanation:

Because if the longest amount is 2 feet and the shortest is 1 feet 2 minus 1 equals 1.

Answer:

16

Step-by-step explanation:

180-109=71

71+93=164

180-164=16

Answer:

(5, - 6)

Step-by-step explanation:

Given the 2 equations

6x + 3y = 12 → (1)

6x - 5y = 60 → (2)

Multiply (2) by - 1 and add to (1) will eliminate the term in x

- 6x + 5y = - 60 → (3 )

Add (1) and (3) term by term

(6x - 6x) + (3y + 5y) = (12 - 60)

8y = - 48 ( divide both sides by 8 )

y = - 6

Substitute y = - 6 into (1) or (2) and siolve for x

Using (1), then

6x - 18 = 12 ( add 18 to both sides )

6x = 30 ( divide both sides by 6 )

x = 5

Solution is (5, - 6)

The solution to the system of equations 6x + 3y = 12 and 6x - 5y = 60 is x = 2 and y = -6.

The subject of this question is to find the solution to a system of two linear equations. These equations are: 6x + 3y = 12 and 6x - 5y = 60.

To find the solution to these, one way is to subtract one equation from the other to eliminate x. When we subtract the second equation from the first, we get: (6x+3y) - (6x-5y) = 12 - 60. This simplifies to 8y = -48.

Therefore, y = -48 ÷ 8 which gives the solution y = -6. Substituting y = -6 into the first equation gives us 6x = 12 - 3*(-6), which becomes 6x = 12 to get x = 2.

So the solution to this system of equations is x = 2 and y = -6.

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ANSWER

[tex] \frac{113}{18} [/tex]

EXPLANATION

We want to convert

[tex]6 \frac{10}{36} [/tex]

to improper fraction.

Let us first reduce the fractional part to get;

[tex]6 \frac{5}{18} [/tex]

We now multiply 6 by 18 and add 5 and then express the result over 18.

This will give us;

[tex] = \frac{6 \times 18 + 5}{18} [/tex]

[tex] = \frac{108 + 5}{18} [/tex]

[tex] = \frac{113}{18} [/tex]

To convert the mixed number 6 10/36 to an improper fraction, first simplify the fraction to 5/18. Then multiply the whole number by the denominator (6 * 18 = 108) and add the numerator (108 + 5) to get 113/18, which is in its lowest terms.

To convert the mixed number 6 10/36 to an improper fraction in its lowest terms, follow these steps:

First, simplify the fractional part of the mixed number by dividing the numerator and denominator by their greatest common divisor. In this case, 10/36 can be simplified because 2 is the greatest common divisor of 10 and 36. So, 10 \/ 2 = 5 and 36 / 2 = 18, which gives us 5/18.

Next, convert the mixed number to an improper fraction by multiplying the whole number by the denominator of the fraction then adding the numerator. 6 (the whole number) \\times 18 (the new denominator) = 108. Then add the numerator: 108 + 5 = 113.

The result is the improper fraction 113/18.

This improper fraction 113/18 is already in its lowest terms as the numerator and denominator have no common factors other than 1.

Answer:

option D

x≥3

Step-by-step explanation:

Given in the question an inequality

−4x + 2 ≤ −10

rearrange x terms to the left and constant to the right

-4x  ≤ −10 - 2

-4x  ≤ -12

cancel - on both sides, due to sign change inequality will also be change

 4x ≥ 12

  x ≥ 12/4

  x ≥ 3

So, the solution of the inequality is x ≥ 3, x is greater than or equal to 3.

Answer:

x ≥ 3

Step-by-step explanation:

We have given a inequality.

−4x+2 ≤ −10

We have to find the solution of given inequality.

Adding -2 to both sides of given inequality, we have

-4x+2-2 ≤ -10-2

-4x ≤ -12

Cancelling negative sign from both sides of above inequality , we have

4x ≥ 12

Dividing by 4 to both sides of above equations, we have

x ≥ 3 which is the solution of inequality.

Answer:

[tex]\large\boxed{P=60.56\ m}[/tex]

Step-by-step explanation:

The formula of an area of a rectangle:

[tex]A=lw[/tex]

l - length

w - width

We have

[tex]A=229.2\ m^2\\\l=15\ m[/tex]

Substitute:

[tex]15w=229.2[/tex]          divide both sides by 15

[tex]w=15.28\ m[/tex]

The formula of a perimeter of a rectangle:

[tex]P=2(l+w)[/tex]

Substitute:

[tex]P=2(15+15.28)=2(30.28)=60.56\ m[/tex]

Answer:170

Step-by-step explanation:

Place the numbers in ascending order that should give you

120,160,170,180,180

Then find the number that is in the middle that would be 170, there for your answer is 170

X + 2 = 4

= X = 4 - 2= 2

X=2

Happy to help! Marking my answer as the Brainliest would really be aprreciated.

Yes he is correct

Given a triangle ABC, the sum of the lengths of any two sides of the triangle is greater than the length of the third side. In the words of Euclid: In any triangle two sides taken together in any manner are greater than the remaining one.

If we add the two sides 12 and 18 we get 30 so the third side must be greater than 30. He said greater than 6 so he is right too

Answer: 330 in³

Step-by-step explanation:

The formula formula for calculate the volume of  a rectangular prism is the shown below:

[tex]V=l*w*h[/tex]

Where l is the length, w is the width and h is the height.

 You know that the shoe box is 6 inches wide 11 inches long and 5 inches high. Therefore, when you substitute these values into the formula shown above, you obtain that the volume of the shoe box is:

[tex]V=(11in)(6in)(5in)=330in^3[/tex]

Answer:

The volume of given shoe box = 330 square inches

Step-by-step explanation:

Formula:

Volume of cuboid = lbh

l - Length of cuboid

b - Breadth of cuboid

h - Height of cuboid

To find the volume of cuboid

here shoe box is like a cuboid.

l = 6 inches

b - 11 inches

h - 5 inches

Volume = lbh = 6 * 11 * 5 = 330 square inches

Therefore the volume of given shoe box = 330 square inches

Answer:

x=-1,3

Step-by-step explanation:

0=(x-1)^2-4

Add 4 to each side

0+4=(x-1)^2-4+4

4 = (x-1)^2

Take the square root of each side

sqrt(4) = sqrt((x-1)^2)

±2 = x-1

Separate into 2 equations

2 = x-1         -2 = x-1

Add 1 to each side

2+1 = x-1+1     -2 +1 =x-1+1

3 =x                     -1 =x

There are two solutions

x=-1,3