Olivia and camille went clothes shopping . Camille spent 19.40 less than twice what olivia spent . In total , they spent $272.35 . Find the amount each girl spent

The answer is A. 85/4=21 with 1 left over. They will need 22 golf carts.

V = bh Dividing both sides by "b" we get

(V / b) = h

Solving for h means to isolate h by move everything else to the other side of the equal sign.

V = b * h

[tex]\frac{V}{b} = \frac{b*h}{b}[/tex]     divide both sides by b

[tex]\frac{V}{b} = h[/tex]     h is now isolated

[tex]-8x + x + 15 = -7x + 12\\\\-8x+x+7x=12-15\\\\0=-3\\\\x\in\emptyset[/tex]

There are no solutions to this equation. Hence, the solution to the given linear equation is the empty set (Ø) because simplification results in an untrue statement.

This is a linear equation, and we can solve it step by step. The first step is to simplify the equation. If we combine similar terms, we get -7x + 15 = -7x + 12. Then we can cancel the -7x from both sides of the equation, which gives us 15 = 12.

However, this statement is not true. Therefore, there are no solutions to this equation, making the solution set Ø (empty set).

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In 63, 6 is in the tenths place, meaning it represrents the number 60.

In 46, 6 is in the ones place, meaning it represents the number 6.

So, given that, in the first example 6 is x times the value of 6 in the second example:

x = 60 / 6

x = 10

Hope it helped,

BioTeacher101

The value of the digit 6 in the number 63 is 10 times the value of the digit 6 in the number 46.

In the number 63, the 6 is in the tens place, meaning it represents 60 (6 tens). In the number 46, the 6 is in the ones place, meaning it simply represents 6 (6 ones). Therefore, the 6 in 63 is 10 times the value of the 6 in 46.

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The answer I believe is Linear Pair

Answer: Linear Pair

Two angles that are adjacent and supplementary form a linear pair.

The answer is B: 4.5 cm, 7.5 cm

Here's why: 7.5 is 3 cm more than 4.5, and when added together, 7.5 + 7.5 + 4.5 + 4.5 = 24.

The formula of a perimeter of a rectangle: P = 2(w + l)

w - width, l - length

We have:

P = 24cm and l = (w + 3)cm

Substitute:

24 = 2(w + w + 3)

24 = 2(2w + 3)     |use distributive property

24 = (2)(2w) + (2)(3)

24 = 4w + 6      |subtract 6 from both sides

18 = 4w     |divide both sides by 4

w = 18/4

w = 9/2

w = 4.5 cm

l = 4.5 + 3 = 7.5cm

Here, we are required to find the value of Q in the following system so that the system to the solution is {(x,y) : x-3y=4}

x-3y=4

2x-6y=Q

Therefore, Q = 8.

By comparison between equations: x-3y=4 and 2x - 6y = Q.

We need to multiply equation x - 3y = 4 by 2 so that it somewhat resembles 2x-6y=Q;

Ultimately, we have;

Therefore, the two equations now resemble one another and therefore, Q = 8

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The value of Q that makes the system have the same solution as {(x, y) : x - 3y = 4} is Q = 8.

To find the value of Q in the given system so that the solution is {(x, y) : x - 3y = 4}, you need to make sure that the second equation, 2x - 6y = Q, is equivalent to the first equation, x - 3y = 4.

This means that the two equations have the same solution.

To do this, we can start by simplifying the second equation to be equivalent to the first one:

2x - 6y = Q

We can simplify this equation by dividing both sides by 2:

x - 3y = Q/2

Now, we want this equation to be the same as the first equation, x - 3y = 4.

To make them equal, we need to have Q/2 equal to 4.

Therefore:

Q/2 = 4

To solve for Q, multiply both sides of the equation by 2:

Q = 2 * 4

Q = 8

For similar question on equation.

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The slope-point formula:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have (0, 6) and (1, 3),

Substitute:

[tex]m=\dfrac{3-6}{1-0}=\dfrac{-3}{1}=-3\\\\y-6=-3(x-0)[/tex]

Step 1. Since the power of 2 is even, the result will be positive

(3j^2k^3)^2(2j^2k)^3

Step 2. Use Multiplication Distributive Property

3^2(j^2)^2(k^3)^2(2j^2k)^3

Step 3. Simplify 3^2 to 9

9(j^2)^2(k^3)^2(2j^2k)^3

Step 4. Use the Power Rule

9j^4(k^3)^2(2j^2k)^3

Step 5. Use the Power Rule

9j^4k^6(2j^2k)^3

Step 6. Use Multiplication Distributive Property

9j^4k^6 * 2^3(j^2)^3 k^3

Step 7. Simplify 2^3 to 8

9j^4k^6 * 8(j^2)^3 k^3

Step 8. Use the Power Rule

9j^4k^6 * 8j^6k^3

Step 9. Take out the constants

(9 * 8)j^4j^6k^6k^3

Step 10. Simplify 9 * 8 to 72

72j^4k^6k^3

Step 11. Use the Product Rule

72j^4+6k^6+3

Step 12. Simplify 4 + 6 to 10

72j^10k^6 + 3

Step 13. Simplify 6 + 3 to 9

72j^10k^9

The slope is 4. The y intercept is 3.

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[tex]-2-\dfrac{3}{4}x=10\ \ \ \ |+2\\\\-\dfrac{3}{4}x=12\ \ \ \ |\cdot(-4)\\\\3x=-48\ \ \ \ |:3\\\\\boxed{x=-16}\\\\Answer:\ a.)\ -16[/tex]

Final answer:

To solve the equation -2 - 3/4x = 10, you first add 2 to both sides of the equation, then multiply both sides by -4/3 to get x alone. The solution to the equation is x = -16, which is option (a).

Explanation:

To solve the equation −2 − 3/4x = 10, we need to isolate x. First, we can add 2 to both sides of the equation:

−3/4x = 10 + 2

−3/4x = 12

Next, we multiply both sides by the reciprocal of −3/4, which is −4/3 to get x alone:

(−4/3)*(−3/4)x = 12(−4/3)

x = −16

Therefore, the solution is −16, which corresponds to option (a) −16.

Any rational number added to 0.6 will produce a rational number.

Adding any rational number to 0.6 will produce a rational number. Rational numbers include whole numbers, fractions, and terminating or repeating decimals.

The question asks which number, when added to 0.6, produces a rational number. A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero. Since 0.6 is already a rational number (it can be expressed as 6/10 or 3/5), adding any other rational number to it will also produce a rational number. Examples of rational numbers include whole numbers, fractions, and terminating or repeating decimals.

Therefore, any number that is rational (such as 0, 1/2, 3, 4.5, etc.) will produce a rational number when added to 0.6.

slope (m) = rate.    $40 per hour is the rate, so m = 45

y-intercept (b) = one time fee.   $45 is the flat rate which is the one time fee, so b = 45

y = mx + b

y = 40x + 45

Answer: A

2 : 2.5 = 3 : w

w = 2.5 * 3 : 2

w = 3.75

The answer is 65! Just took the test

In order to check if a comparison such as this is true, you can use this logical equivalence:

[tex] \dfrac{a}{b} > \dfrac{c}{d} \iff ad > bc,\quad \dfrac{a}{b} < \dfrac{c}{d} \iff ad < bc [/tex]

Anyway, it's not always necessary to make this check. We know that every proper fraction represents a number between 0 and 1, and any improper fraction represents a number greater than 1. So, every proper fraction is less than every improper fraction.

So, the first two options are surely wrong, because they ask for a proper fraction to be more than an improper fraction.

The third option compares two proper fractions, so we actually have to check:

[tex] \dfrac{16}{26}>\dfrac{30}{31} \iff 16 \cdot 31 > 26 \cdot 30 \iff 496 > 780[/tex]

which is false.

Last option:

[tex] \dfrac{35}{30}<\dfrac{22}{12} \iff 35 \cdot 12 < 30 \cdot 22 \iff 420 < 660[/tex]

Which is true.

Answer:Total number of side pieces [tex] = 14[/tex]

Step-by-step explanation:

To find the number of side pieces we use formula = [tex] \frac{Area of wooden plank}{Area of 1 side piece} [/tex]

Area of wooden plank [tex]= length \times width[/tex]

Length of wooden plank [tex] =\frac{77}{8}feet =\frac{77}{8} \times 12 [/tex] inches

Length [tex] = \frac{231}{2} [/tex] inches

Width of plank [tex] = \frac{9}{16} foot = \frac{9}{16} \times 12 =\frac{27}{4}[/tex] inches

Area of plank[tex]= \frac{231}{2} \times \frac{27}{4} [/tex] sq inches

Area of 1 side piece [tex]= \frac{33}{4} \times \frac{27}{4}[/tex] sq inches

Now using formula

Number of pieces [tex]= \frac{Area wooden plank}{Area of 1 side piece} [/tex]

[tex] =(\frac{231}{2} \times \frac{27}{4} )\div (\frac{33}{4} \times \frac{27}{4}) [/tex]

Converting division into multiplication we get,

[tex] =(\frac{231}{2} \times \frac{27}{4} )\times (\frac{4}{27} \times \frac{4}{33} )[/tex]

On solving we get

[tex]= 14[/tex]

Total number of side pieces [tex] = 14[/tex]

Let the amount saved by Gayle be = x

Cost of the bicycle = $119.90

Gayle's saving till now = 0.7% of 119.90

[tex]\frac{0.7}{100}\times119.90=x[/tex]

[tex]x=0.83[/tex]

Hence, Gayle has saved $0.83 so far.

Answer:

She has saved $83.93.

Step-by-step explanation:

Gayle is saving to buy a bicycle.

The cost of bicycle = $119.90

She has saved = 0.7 of $119.90

                        = 0.7 × 119.90

                        = $83.93

The amount she needs more = 119.90 - 83.93

                                                 = $35.97

She has saved $83.93.

Answer:

its y

Step-by-step explanation:

Answer:

17.30 dollars

Step-by-step explanation:

Given that Payton and James mow the lawns.

They do this during summer.

The amount they spend are:

Gas  cost  = 3.50

Leaf bags =  1.20

Add these to get total costs

Total cost  = 4.70

Charge they get per lawn = 22.00

Profit = Revenue - cost

Here revenue per lawn = 22 and cost per lawn = 4.70

Hence profit = 22-4.70 = 17.30 dollars.

Answer is they make 17.30 dollars per lawn.

Answer:

The answer is B

Step-by-step explanation:

y = a(1 + r)ˣ

a = 15  "initial" means what you started with on the first day

r = 6   the rate it increased is the slope ([tex](\frac{21 - 15}{2 - 1})[/tex]

y = 15(1 + 6)ˣ

Answer: y = 15(7)ˣ

Without additional information correlating the number of hats sold to the number of scarves sold, it is impossible to determine how many hats the knitter sold.

Based on the question, there isn't enough information provided to determine how many hats the knitter sold. The information given tells us only about the number of scarves sold, which is 5. If any relationship between the number of hats and scarves sold was provided, then the solution could be possible. For example if the knitter sells an equal amount of hats and scarves then we could say she sold 5 hats. However, without any such information, it is impossible to ascertain the number of hats sold.

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Seth:

Equation 7.50x + 15y = 750, where x is the number of hours Seth works and y is the number of lawns he mows.

Karen:

Equation 6x + 4y = 700, where x is the number of hours Karen works and y is the number of dogs she walks.

Part A: Converting it in function for by solving for y first.

Solving 7.50x + 15y = 750, equation we get

7.50x + 15y = 750

15y = -7.50x + 750

Solving 6x + 4y = 700 for y, we get

6x + 4y = 700

4y = -6x + 700

On comaring with slope-intercept form y=mx+b, we got slope for Seth equation is -1/2 and slope for Karen is -3/2.

If we take absolute of those -1/2 and -3/2 we get 1/2 and 3/2.

Therefore, Karen has the higher slope. We can see the graph that blue line has greater slope as it's increasing/decreasing with greater rate.

In function form we could write equation as

Part B : y-intercept of Karen equation is 175 and y-intercept of Seth equation is 50.

Part C: If both students work 80 hours for the month.

Let us plug x =80 in each of the equations.

Seth would earn $10 from mowing lawn.

Therefore, the number of lawns Seth has to mow = 10/15 = 0.67 that is approximately 1 lawn.

Karen would earn $50 from walking dog.

So, the number of dogs Karne has to walk = 55/4 = 13.75 that ia approximately 14 dogs.

Part D: If Karen begins charging $8 per hour for babysitting and Seth begins earning $8 per hour.

The equations would become : 8x + 15y = 750, 8x + 4y = 700.

Answer:

Seth:

Equation 7.50x + 15y = 750, where x is the number of hours Seth works and y is the number of lawns he mows.

Karen:

Equation 6x + 4y = 700, where x is the number of hours Karen works and y is the number of dogs she walks.

Part A: Converting it in function for by solving for y first.

Solving 7.50x + 15y = 750, equation we get

7.50x + 15y = 750

15y = -7.50x + 750

y = -1/2x + 50

Solving 6x + 4y = 700 for y, we get

6x + 4y = 700

4y = -6x + 700

y= -3/2x + 175.

On comaring with slope-intercept form y=mx+b, we got slope for Seth equation is -1/2 and slope for Karen is -3/2.

If we take absolute of those -1/2 and -3/2 we get 1/2 and 3/2.

Therefore, Karen has the higher slope. We can see the graph that blue line has greater slope as it's increasing/decreasing with greater rate.

In function form we could write equation as

f(x) = -1/2x + 50 and

f(x) = -3/2x + 175.

Part B : y-intercept of Karen equation is 175 and y-intercept of Seth equation is 50.

Therefore, Karen has greater y-intercept.

This means Karen earns $175 by just walking dogs.

Part C: If both students work 80 hours for the month.

Let us plug x =80 in each of the equations.

y = -1/2x + 50  => y = -1/2(80) + 50 = -40 +50 = $10.

Seth would earn $10 from mowing lawn.

Therefore, the number of lawns Seth has to mow = 10/15 = 0.67 that is approximately 1 lawn.

y = -3/2x + 175  => y = -3/2(80) + 175 = -120 +175 = $55.

Karen would earn $50 from walking dog.

So, the number of dogs Karne has to walk = 55/4 = 13.75 that ia approximately 14 dogs.

Therefore, the number of lawns Seth has to mow is less than the number of dogs Karen has to walk.

Part D: If Karen begins charging $8 per hour for babysitting and Seth begins earning $8 per hour.

The equations would become : 8x + 15y = 750, 8x + 4y = 700.

It would not effect the graph much. Even the y-intercepts would remain same.

There would be a slightly change in slopes.

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Step-by-step explanation:

Answer:

Step-by-step explanation:

As per the problem, we are given that

Toy store owner gave 47 balloons to his customers.

And there are 7 balloons left.

So we can find the total number of balloons the Toy store owner start with by adding the given numbers.

Hence total number of balloons the Toy store owner start with[tex]=47+7=54[/tex]

Final answer:

The toy store owner had 54 balloons originally. This is found by adding the 7 balloons left to the 47 given away.

Explanation:

The question is asking to find the total number of balloons the toy store owner originally had. To solve this, we use simple addition. If the owner gave away 47 balloons and has 7 left, you would add the two numbers together to find the original amount.

Step-by-Step Explanation:

Therefore, the toy store owner originally had 54 balloons.

Answer:

the answer is p=5.75t

Step-by-step explanation:

Answer:

Option C: x=7

Step-by-step explanation:

We are given an equation in x and asked to solve for x

The given equation is

[tex]\frac{x+3}{5} =2[/tex]

To solve for x, we have to have only x on the left side.

So multiply the equation both sides by 5 first

We get x+3 =2(5) =10

Subtract 3 to get

x =10-3 =7

Hence 7 is the answer.

We can verify the answer by substituting for x in the given equation.

Substitute x=7 we get (7+3)/5 = 2

Thus answer is right.