Lucy bought a 40-ounce bottle of vegetable oil for $7.69. She used 65% of the vegetable oil in three weeks. For the amount of vegetable oil she used in three weeks the approximate cost was?

Answer:

Step-by-step explanation: 3XY 3+5-X-2XY3=XY3+11  USE THE COMMUTATIVE PROPERTY TO REODER THE TERMS...3Y3+5-X-2XY3=XY3+11 COLLECT LIKE TERMS Y3+5-X-Y3X+11..Cancel equal terms on both sides of the equation 5-x=11 move constant to the right side and change its sign  -x=11-5 subtract the numbers -x=6 final answer is X=-6

Answer:  There are 13 children.

Step-by-step explanation:

1. Let's call x the number of children in the classroom. We know that each child received 4 oranges, except 5 of them.

2. There were 32 oranges in total.

3. We can write this problem as an equation that represents the number of oranges distributed, as follows:

[tex]4(x-5)=32[/tex]

4. Now we solve the equation to find the value of x:

[tex]x-5=\frac{32}{4}[/tex]

[tex]x-5=8[/tex]

[tex]x=13[/tex]

5. There are 13 children in the classroom. 8 of them received oranges and the rest did not.

Answer:

the right answer is (8, 8)

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

got it right on edg

Answer:

The correct option is B.

Step-by-step explanation:

The distance between two points is

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

From the given figure it is clear that the coordinates of G are (1,2) and the coordinates of H are (6,5).

[tex]D=\sqrt{(6-1)^2+(5-2)^2}[/tex]

[tex]D=\sqrt{(5)^2+(3)^2}[/tex]

[tex]D=\sqrt{25+9}[/tex]

[tex]D=\sqrt{34}[/tex]

[tex]D=5.83[/tex]

[tex]D\approx 5.8[/tex]

The length of GH is 5.8 units. Therefore the correct option is B.

Answer:

Vegetable soup costs less because it's only $0.24/oz while chicken soup costs $0.25/oz.

Step-by-step explanation:

Vegetable = $2.88/12 = $0.24/per 1 oz

Chicken = $2.25/9 = $0.25/per 1 oz

Answer:

x = 4

Step-by-step explanation:

cross- multiplying gives

5 × 3x = 4(2x + 7) ← distribute

15x = 8x + 28 ( subtract 8x from both sides )

7x = 28 ( divide both sides by 7 )

x = 4

Cross multiplication is used to solve equations with fractions or ratios. Multiply across the equals sign ('cross multiply'), and then isolate 'x' by adjusting the equation. Replace variable with actual figures to get the exact value.

Cross multiplication is a mathematical technique used to solve problems involving fractions or ratios. Let's do an example. Suppose we have a ratio equation like this: a/b = c/ x (x is the variable we need to find).

The first step is to cross multiply. So, you multiply 'a' and 'x', and 'b' and 'c'. This gives us: ax = bc.

Next, we isolate 'x' by dividing both sides of the equation by 'a'. This gives us: x = bc/a.

Now, put the actual numbers into the equation to get the value of 'x'.

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the difference from 40000 to the future value in 2020, namely 5 years later is simply the yield or interest amount.

[tex]\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$40000\\ r=rate\to 11\%\to \frac{11}{100}\dotfill &0.11\\ t=years\dotfill &5 \end{cases} \\\\\\ I=(40000)(0.11)(5)\implies I=22000[/tex]

Answer:

Georgia would get 32 sweets and Courtney would get 56 sweets.  

Step-by-step explanation:

This question asks you to find equivalent fractions or ratio.  They give us the starting ratio of 4:7, which represents that for every four sweets that Georgia receives, Courtney receives 7.  They also tell us that Courtney gets 24 more sweets than Georgia.  If we let 'x' equal the number of sweets that Georgia receives and 'x+24' equal the number of sweets that Courtney receives, then we can set up a proportion where 4/7 = x/(x+24).  We then can use cross-multiplication and division to solve for the value of 'x'.  In this case 4(x +24) = 7x.  We use distribution to get 4x + 96 = 7x, then inverse operations (subtracting 4x from both sides) to get 96 = 3x, then inverse operations to divide 3 by both sides to get x=32.  32 would be the number of sweets Georgia receives and 32+24=56 would be the number of sweets that Courtney receives.  

Georgia and Courtney share sweets in the ratio 4:7, meaning for every 4 sweets Georgia gets, Courtney has 7. Given that Courtney gets 24 more sweets than Georgia, together they get a total of 88 sweets.

This question is about the concept of ratio in mathematics. Georgia and Courtney share sweets in the ratio 4:7. This can also mean that for every 4 sweets Georgia gets, Courtney gets 7. But, the question mentions that Courtney gets 24 more sweets than Georgia.

Let's assume that Georgia gets 4x sweets and Courtney gets 7x sweets. So, 7x - 4x = 24, because Courtney gets 24 more sweets. Hence 3x equals to 24. Therefore, x = 24/3 = 8.

Now to find how many sweets each gets, we multiply their ratio parts by this value. For Georgia, we get: 4 * 8 = 32 sweets, and Courtney gets, 7 * 8 = 56 sweets. Both together get 32 + 56 = 88 sweets.

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Answer:

see explanation

Step-by-step explanation:

To find the intercepts, that is where the graph of the lines cross the x and y axes.

• let x = 0, in the equation for y-intercept

• let y = 0, in the equation for x-intercept

Consider each equation separately

2x + 5y = 10

x = 0 : 5y = 10 ⇒ y = 2 ⇒ (0, 2) ← y -intercept

y = 0 : 2x = 10 ⇒ x = 5 ⇒ (5, 0) ← x- intercept

2x + 3y = 6

x = 0 : 3y = 6 ⇒ y = 2 ⇒ (0, 2) ← y- intercept

y = 0 : 2x = 6 ⇒ x = 3 ⇒ (3, 0 ) ← x- intercept

The common solution is the y-intercept in both equations (0, 2 )

Answer:

290 ans 4/5 miles

Step-by-step explanation:

174/24=7.25

7.25X40=290

Next problem

10/2=5

4/5

Answer:

1 1/11 times greater

Step-by-step explanation:

When we are looking for how man time greater, we know we have to divide

36/33

Each number can be divided by 3

12/11

We can change this to a mixed number

1 1/11 times greater

Answer:

Step-by-step explanation:

0.126126126... = x

Numerator is 14

Correct answer is B.14

Answer:

C)3x+6y=9

-2x-4y=4

Step-by-step explanation:

A student took a system of equations, multiplied the first equation 2 by 3 and the second equation by , then added the results together.

Lets check with each option

We multiply the first equation by 2  and second equation by 3 and add it.

When both x  and y terms gets cancelled then we can say there were no solutions.

A) -2x+4y=4

-3x+6y=6

Equation becomes

-4x + 8y = 8

-9x + 18y = 18

------------------------

-13x + 26y = 26

B) 3x+y=12

-3x+6y=6

Multiply first equation by 2  and second equation by 3

6x + 2y = 24

-9x + 18x = 18

------------------------

-3x + 20y = 42

C)3x+6y=9

-2x-4y=4

Multiply first equation by 2  and second equation by 3

6x + 12y = 18

-6x - 12y = 12

---------------------------

          0 = 30

Both x  and y terms becomes 0. Hence there is no solution for these system of equations.

Answer:

.3x+6y=9

-2x-4y=4

Step-by-step explanation:

college bridje

Answer:

Try D because a number times 10 to the power of anything is not that number!

Step-by-step explanation:

Problem 7a

Answer: [tex]18 \le y < 300[/tex]

where y is the amount of tax paid in dollars

So y is between 18 and 300; including 18 but excluding 300.

-----------------------

Explanation:

x = annual income (in dollars)

y = amount of tax you have to pay (in dollars)

If x is between 600 and 10,000 then y is 3% of that, so y = 0.03*x is the rule for the first tax bracket.

If someone's income is x = 600 dollars, then they have to pay y = 0.03*600 = 18 dollars. This is the "floor" or lowest amount of tax that must be paid. We can't go any lower.

On the other side of the spectrum for this bracket, the highest income possible is x = 10,000 so 3% of this is y = 0.03*x = 0.03*10000 = 300 dollars. This is the "ceiling" or highest amount of tax paid for this bracket.

======================================

Problem 7b

Answer: Annual income is over $10,000

Possible annual incomes can be expressed by this compound inequality [tex]12000 \le x \le 19000 [/tex] meaning the incomes could be between $12,000 and $19,000 (inclusive of both endpoints).

-----------------------

Explanation:

From part A above, we found that the highest paid tax in the first bracket was $300 (well $299.99 because the exact amount 300 wasn't included). The lowest amount 400 is well above the ceiling mentioned, so we must be in the second tax bracket.

Here's how we compute the second tax bracket: we take 3% of 10,000 to get $300 and then we add on 5% of the remaining income over $10,000. The equation that represents this is y = 0.05*x + 300 where x is the extra amount of money over $10,000. For example, if I said x = 20, then we are 20 dollars over $10,000

Plug in y = 400 and let's solve for x to get

y = 0.05*x + 300

400 = 0.05*x + 300

0.05x = 100

x = 100/0.05

x = 2000

Meaning that a person making an extra $2000 on top of the $10,000 already taxed earns a total of $12,000 annually

Repeat for y = 50

y = 0.05*x + 300

750 = 0.05*x + 300

0.05x = 450

x = 450/0.05

x = 9000

So the annual income is 10,000+x = 10,000+9,000 = 19,000

======================================

Problem 7c

Answer: Anyone earning over $20,000 will pay less in tax at the 4% tax rate.

-----------------------

Explanation:

y = original tax rate for the second bracket (3% of first 10,000 plus 5% extra)

y = 5% of (extra amount over $10,000) + (3% of 10,000)

y = 5% of (x - 10000) + (3% of 10,000)

y = 0.05*(x-10000) + 300

z = 4% of annual income

z = 0.04*x

We want to see what x values will make z smaller than y

z < y

0.04x < 0.05*(x-10000) + 300

0.04x < 0.05*x-0.05*10000 + 300

0.04x < 0.05*x-500 + 300

0.04x < 0.05*x-200

0.04x-0.05*x < -200

-0.01*x < -200

x > -200/(-0.01) ......... note the inequality sign flips

x > 20000

If you earn more than $20,000 then the original rule of "3% plus the first $10,000 plus 5% of any extra income" will charge more tax. So for higher earners, they will want the flat tax rate of 4%

Answer:

A

Step-by-step explanation:

Distribute the (-)

6x^3y^3+x^3y^3  +  5x^2y^2 - x^2y^2  -  x^2y+x^2y  +xy^2 +3x+3x +2-4

Cancel out bold and add:

7x^3y^3 + 4x^2y^2 +xy^2+6x-2

Answer:

The equation in point - slope form of a line that passes through the points (3,-5) and (-8,4) is: y-(-5) = -(9/11) (x-3) or y+5 = -(9/11) (x-3)

Step-by-step explanation:

P1=(3,-5)=(x1,y1)→x1=3, y1=-5

P2=(-8,4)=(x2,y2)→x2=-8, y2=4

Equation in Point-Slope Form: y-y1=m(x-x1)

Slope: m=(y2-y1)/(x2-x1)

Replacing the known values:

m=[4-(-5)] / (-8-3)

m=(4+5) / (-11)

m=(9) / (-11)

m=-(9/11)

Equation in the point - slope form:

y-(-5) = -(9/11) (x-3)

y+5 = -(9/11) (x-3)

Answer:

Its 1/4^10

    Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression (4⁻²)⁵ can be simplified as 1/1048576 or 1048576 ⁻¹ or 4⁻¹⁰.

Power is the result of multiplying two numbers together. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.

The given expression (4⁻²)⁵ can be simplified as shown below.

(4⁻²)⁵

= (1/4²)⁵

= (1/16)⁵

= 1⁵/16⁵

= 1 / 1048576

It can also be rewritten in the form of exponents as,

(4⁻²)⁵

= 4⁽⁻²ˣ⁵⁾

= 4⁻¹⁰

Hence, the given expression (4⁻²)⁵ can be simplified as 1/1048576 or 1048576 ⁻¹ or 4⁻¹⁰.

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Answer:

-4

Step-by-step explanation:

When you subtract a negative number, it is like adding a positive.

-6 - (-2)

-6 + 2

-4

Answer:

I think the answer is -4

Step-by-step explanation:

First change the -(-2) to 2: Next you would add -6-2 to get -4(why you add is because you changed the subtraction sign to addition when you simplified the equation).  

Answer:

t= 2.52 hours

Step-by-step explanation:

It is given that for first 30 km, the speed of bicyclist is v km/hour

time taken to cover first 30 km is given by

[tex]t_{1} =\frac{30}{v}[/tex]           ( [tex]time=\frac{distance}{speed}[/tex])

for next 17 km the speed of bicyclist is 2 km/hour greater than his original speed

so the speed to cover next 17 km = v+2

time taken to cover next 17 km is given by

[tex]t_{2} =\frac{17}{v+2}[/tex]

now total time t spent by the bicyclist to cover entire trip is given by

[tex]t=t_{1} +t_{2}[/tex]

[tex]t=\frac{30}{v} +\frac{17}{v+2}[/tex]

now if v=18 , we have

[tex]t=\frac{30}{18} +\frac{17}{20}[/tex]

now to add fractions we make the denominator same

Hence we will find the LCM of 18 and 20

LCM of 18 and 20 = 180

now we need to make both the denominator equal to 180

[tex]t=\frac{30(10)}{18(10)} +\frac{17(9)}{20(9)}[/tex][tex]t=\frac{300}{180} +\frac{153}{180} =\frac{300+153}{180}[/tex]

[tex]t=\frac{453}{180} =2.52[/tex] hours (approx)

Answer:

2 hours 31 minutes

Step-by-step explanation:

The slope-intercept form:

[tex]y=mx+b[/tex]

[tex]9y-27x=18[/tex]      add 27x to both sides

[tex]9y=27x+18[/tex]      divide both sides by 9

[tex]\boxed{y=3x+2}[/tex]

Answer:

25% of 200 is 50

Step-by-step explanation

40% of a number is 80

.40 * n = 80

Divide each side by .4

.40 n/.4 = 80/.4

n = 200

The number is 200

Now lets find 25 percent of that number

.25 * 200 = 50

Answer:

192

Step-by-step explanation:

The number of books is 12 times 16.

12 * 16 =

       16

   x  12

----------

      32

+   16

----------

     192

Answer: 192

3x + 5 = 17    subtract 5 from both sides

3x = 12    divide both sides by 3

x = 4

3x + 14 = 11       subtract 14 from both sides

3x = -3    divide both sides by 3

x = -1

Answer:

4 and -1

Step-by-step explanation:3x+5=17, x=4 because 17-5=12 and 12 divided by 3 is 4.

3x=14=11 we need to subtract 14 from both sides which will give us an end result of 3x=-3, so x =-1

Answer:

Megan will have to pay $2, 260 for surgery.

Step-by-step explanation:

1. Translate percent into decimal:

90% -> 0.9

2. Multiply (to find out how much the insurance company pays):

(0.9)(14, 600) = 13, 140

3. Subtract:

14, 600 - 13, 140 = 1, 460

4. Add (to find out how much Megan pays):

1, 460 + 800 = 2, 260

Answer:

Megan payed $2,260

Step-by-step explanation:

Answer:

350 Stamps left

Step-by-step explanation:

First do 5/8*400= 250

Then take 1/5 of it 1/5*250

You end up with 50 so do 250-50= 200 and add the 150 Canadian stamps to get a total of 350 stamps.

You can use the fact that value of a fraction of a number can be calculated by multiplying that  fraction with that number.

Peter is left with 350 stamps.

The value of a fraction of a number can be calculated by multiplying that  fraction with that number.

For example, 2/3 of 30 is calculated as:  [tex]\dfrac{2}{3} \times 30 = 2 \times 10 = 20[/tex]

Count of total stamps = Count of US stamps + Count of Canadian stamps.

Number of US stamps = 5/8 of total stamps.

Total stamps = 400.

Thus,

[tex]\text{Number of US stamps} = \dfrac{5}{8} \times 400 = 5 \times 50 = 250[/tex]

Thus, we have:

400 = 250 + Count of Canadian stamps.

400 - 250 = Count of Canadian stamps.

Count of Canadian stamps = 150

Since Peter gave 1/5 of US stamps to his friend, thus:
[tex]\text{Count of US stamps Peter gave} = \dfrac{1}{5} \times 250 = 50[/tex]

Thus, out of 400 stamps, Peter gave 50 stamps.

Thus, peter is left with 400 - 50 = 350 stamps.

Thus,

Peter is left with 350 stamps.

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Answer:

The correct answer Is B ! i did a study on this before

Step-by-step explanation:

Answer with Step-by-step explanation:

The formula for correlation coefficient is:

[tex]\dfrac{\sum xy-\dfrac{(\sum x\sum y)}{n}}{\sqrt{(\sum x^2-\dfrac{(\sum x)^2}{n})(\sum y^2-\dfrac{(\sum y)^2}{n})}}[/tex]

          x            y          x²           y²          xy

          15           36       225       1296      540

          13           22       169        484        286

          12           6          144        36          72

          11           20         121        400        220

∑        51           84         659      2216       1118

Correlation coefficient=

[tex]\dfrac{1118-\dfrac{51\times 84}{4} }{\sqrt{(659-\dfrac{51\times 51}{4})(2216-\dfrac{84\times 84}{4} ) } } \\\\=\dfrac{47}{\sqrt{8.75\times 452} } \\\\=\dfrac{47}{\sqrt{3955} }\\ \\=0.75[/tex]

Hence, correct option is:

A. 0.75

Answer:

X = 17°

Step-by-step explanation:

Given that triangle Δ IJK ≅ triangle Δ PQR.

Using CPCTC (corresponding parts of congruent triangles are congruent), we can say angle ∠I = angle ∠P.

given angle ∠I = 3x + 4, and angle ∠P = 72 - x.

Now solving angle ∠I = angle ∠P.

3x + 4 = 72 - x

3x = 72 - x - 4

3x = 68 - x

3x + x = 68

4x = 68

x = 68/4 = 17 degrees.

Hence, the value of x is 17°.