Which answer choice represents an
equation?
A Nine more than 7g
B Eight divided by 2x
C Six times the sum of 2 and 4
D Eleven minus h is 3

Answer: (-4,-3)

Step-by-step explanation:

In USA test prep

The inequality is:

[tex]70+6x\geq 150[/tex]

You must do more than 14 sales to get at least $ 150

Solution:

Given that,

As a salesperson you are paid $70 per week plus $6 per sale

Let "x" be the number of sales

This week you want your pay to be at least $150

We have to frame a inequality to represent the number of sales you need to make to achieve your goal

This week he must earn at least $ 150

Thus, he can spend $ 150 or more then 150 also

So we have to use "greater than or equal to" symbol

From given,

[tex]70 + 6(\text{number of sales})\geq 150[/tex]

[tex]70+6x\geq 150[/tex]

Thus the inequality is found

Solve the inequality

[tex]70+6x\geq 150\\\\Subtract\ 70\ from\ both\ sides\\\\6x\geq 150-70\\\\6x\geq 80\\\\Divide\ both\ sides\ by\ 6\\\\x\geq 13.3\\\\Thus\ approximately\ we\ get\\\\x\geq 14[/tex]

So he must do more than 14 sales to get at least $ 150

Answer:

£28+£16(each half hour)

£28+£48= £76

[tex]\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7}) = \frac{7-9h}{7}[/tex]

Solution:

Given expression is:

[tex]\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7})[/tex]

We have to combine the like terms

From given expression,

[tex]\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7})[/tex]

By distributive property,

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

a(b + c) = ab + bc

Therefore,

Solve for brackets using distributive property

[tex]\frac{1}{7} - (3 \times \frac{3}{7}h) + (3 \times \frac{2}{7})\\\\\frac{1}{7} - \frac{9h}{7} + \frac{6}{7}[/tex]

Add 1/7 and 6/7

[tex]\frac{1}{7} + \frac{6}{7} -\frac{9h}{7}\\\\\frac{1+6}{7} -\frac{9h}{7}\\\\Simplify\\\\\frac{7}{7}-\frac{9h}{7}\\\\1-\frac{9h}{7}\\\\Simplify\\\\\frac{7-9h}{7}[/tex]

Thus the equivalent expression is found

Answer:

[tex]x=4\sqrt{2}\ cm[/tex]

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides

Let

x ----> the length of the leg

Applying the Pythagorean Theorem

[tex]c^2=a^2+b^2[/tex]

where

c is the hypotenuse (the greater side)

a and b are the legs of the right triangle

In this problem we have

[tex]c=8\ cm[/tex]

[tex]a=b=x\ cm[/tex]

substitute

[tex]8^2=x^2+x^2\\\\64=2x^2\\\\x^2=32\\\\x=\sqrt{32}\ cm[/tex]

simplify

[tex]x=4\sqrt{2}\ cm[/tex]

Step-by-step explanation:

He missed one 2-point question and got everything else correct.

5 × 2 = 10

4 × 2 = 8

10 + 8 = 18

Hope this helps!

Answer:

5y = -1x

Step-by-step explanation:

Those 2 expressions are equivalent, so they don't tell us anything. This means that the answer in simplest is the starting expression - 5y = -1x

Answer:

Andy had 3 apples, and his mom surprised him with x apples. His mom told him that he had 8 apples in total. As he counted the apples he found out his mom gave him 5 apples By subtracting 8 and 3.

Step-by-step explanation:

Answer:

Apply the distributive property.

4

f

−

3

+

2

g

−

(

−

4

g

)

−

1

⋅

2

Multiply  

−

4

by  

−

1

.

4

f

−

3

+

2

g

+

4

g

−

1

⋅

2

Multiply  

−

1

by  

2

.

4

f

−

3

+

2

g

+

4

g

−

2

Simplify by adding terms.

Tap for fewer steps...

Subtract  

2

from  

−

3

.

4

f

+

2

g

+

4

g

−

5

Add  

2

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and  

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4

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5

Step-by-step explanation:

Answer:

x=6*sqrt(5)

Step-by-step explanation:

We use Pythagoras' theorem:

x^2 =6^2+(24/2)^2

x^2 =6^2+12^2

x^2 =36+144

x^2=180

x=sqrt(180)

x=sqrt(9*4*5)

x=3*2*sqrt(5)

x=6*sqrt(5)

Answer:

0.1302 or 13.02%

Step-by-step explanation:

So we know that 31% of the Dalmatians are blue eyed so that is 0.31. We also know that 42% of blue eyed Dalmatians are deaf so that is 0.42.

To find the probability of a blue eyed deaf Dalmatian we need 42% of 31%, so we need to do:

0.42 × 0.31 = 0.1302 or 13.02%

Answer:

look at the picture shown

Answer:

the function that would represent a reflection of the function y = f(x) = [tex]\frac{3}{8} \times 4^x[/tex] would be a function where x is negative, that is to say the required function which is a reflection across the y axis is given by

[tex]y = f(x) = \frac{3}{8} \times 4^{-x}[/tex]

Step-by-step explanation:

the function that would represent a reflection of the function y = f(x) = [tex]\frac{3}{8} \times 4^x[/tex] would be a function where x is negative, that is to say the required function which is a reflection across the y axis is given by

[tex]y = f(x) = \frac{3}{8} \times 4^{-x}[/tex]

Answer:

g(x) = 3/8(4)^–x

When constructing a triangle with given side lengths, the possible range for the third side can be determined by adding and subtracting the lengths of the existing sides. Side lengths of 4, 10, and 14 inches are not possible choices for the third side length.

The third side of a triangle must be less than the sum but greater than the difference of the other two sides. Given sides of 6 inches and 8 inches:

Therefore, the lengths of the sides 4, 10, and 14 inches are not possible.

A. Inverse

Basically, inverse Property of Addition states that if you add any number added to its opposite the result will be equal zero. So, here we have the following equation:

[tex]x + 12 = 47[/tex]

Adding -12 to both sides we get:

[tex]x + 12 - 12= 47-12 \\ \\ \\ But \ 12+(-12)=0 \\ \\ \\ So: \\ \\ x + 0= 35 \\ \\ Finally: \\ \\ \boxed{x=35}[/tex]

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Answer:

A. Inverse

Step-by-step explanation:

The given equation is [tex]x+12=47[/tex]

To solve this equation, we use the inverse property of addition.

We add the additive inverse of 12 to both sides to get:

[tex]x+12-12=47-12[/tex]

We then simplify to obtain:

[tex]x+0=35[/tex]

This gives us  x=35.

The correct answer is A

Answer:

Judy

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

I would say this because n is most likely equal to 0 so 6 times 0 is 0

If 5n = 0, then 6n = 0.

If 5n = 0, then substituting 0 for 5n gives 6n = 6(0) = 0. Therefore, 6n is equal to 0.

Number of adults = 264

Number of children= 127

Step-by-step explanation:

Let the number of adults be......x

Let the number of children be.....y

The total number of people that used the public swimming pool is given as 391. This means

x+y=391

The total cost per the receipt is : $752.75

This means, 2.25 x+ 1.25 y = 752.75

The two equations are;

x+y=391  ...........(i)

2.25 x+ 1.25 y = 752.75...........(ii)

Making the x variable equal to eliminate x

2.25x + 2.25 y = 879.75

2.25x + 1.25 y = 752.75

Apply subtraction as

1.00 y = 127.00

y=127

Use the value of y in equation (i)

x+y=391

x+127=391

x=391-127=264

Number of adults = 264

Number of children= 127

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Keywords ; public, swiming pool, prices, daily, adults, children, receipt, admission

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Answer:

C) 2x+3y=18

Step-by-step explanation:

y=-2/3x+6

y-(-2/3x)=6

y+2/3x=6

2/3x+y=6

3(2/3x+y)=3(6)

6/3x+3y=18

2x+3y=18

The given values for x and y are not related to a specific equation or line, so we cannot determine the x-intercept.

The x-intercept represents the point at which a line crosses the x-axis. To find the x-intercept, we need to determine the value of x when y is equal to zero. In this case, the given values for x and y are not related to a specific equation or line, so we cannot determine the x-intercept.

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Answer:

C. I and II only

Step-by-step explanation:

Measures of center are mean median and mode. IQR is a range and therefore would not bring you to one number near the "center" of the data.

The step-by-step solution shows that the number close to 289 when multiplied by 8 is approximately 36.125. Multiplying 36 by 8 gives 288, which is close to 289.

To find the number which, when multiplied by 8, gives a value close to 289, we can set up the equation:

8x ≈ 289

To solve for x, we divide 289 by 8:

Performing the division:

So, 8 times approximately 36.125 equals close to 289. Therefore, the nearest whole number would be 36, since 8 * 36 = 288, which is close to 289.

The step-by-step solution shows that the number close to 289 when multiplied by 8 is approximately 36.125. Multiplying 36 by 8 gives 288, which is close to 289.

Answer:

Fred is 31 years old and Natalie is 14 years old.

Step-by-step explanation:

Given:

If you add Natalie's age and Fred's age, the result is 45.

If you add Fred's age to 3 times Natalie's age, the result is 73.

Now, to find the age of Fred and Natalie.

Let the age of Fred be [tex]x.[/tex]

And the age of Natalie be [tex]y.[/tex]

As, given If you add Natalie's age and Fred's age, the result is 45.

[tex]x+y=45[/tex]    ......(1)

Now, if you add Fred's age to 3 times Natalie's age, the result is 73.

[tex]x+3y=73[/tex]   ......(2)

So, to solve the equations by using elimination method.

Now, subtracting both the equations (1) and (2):

[tex]x+y-(x+3y)=45-73[/tex]

[tex]x+y-x-3y=-28[/tex]

[tex]-2y=-28[/tex]

Dividing both sides by -2 we get:

[tex]y=14.[/tex]

Natalie's age = 14 years.

Now, to get the age of Fred by substituting the value of [tex]y[/tex] in equation (1):

[tex]x+y=45\\\\x+14=45[/tex]

Subtracting both sides by 14 we get:

[tex]x=31.[/tex]

Fred age = 31 years.

Therefore, Fred is 31 years old and Natalie is 14 years old.

Answer:

Anya spend the most money

The complete question is given below.

Question:

Kiyo and Steven are tiling the floors in an office building. Kiyo tiled [tex]\frac{3}{6}[/tex] of the floor in  one office, and Steven tiled [tex]\frac{5}{12}[/tex] of the floor  in another office.  Write to explain how to use a benchmark  fraction to determine who tiled a greater  portion of a floor.

Answer:

Kiyo tiled a greater portion of a floor

Solution:

Kiyo tiled in one office = [tex]\frac{3}{6}[/tex]

Steven tiled in another office = [tex]\frac{5}{12}[/tex]

Bench mark fraction means comparing fractions with common fraction or number. Most probably we use [tex]\frac{1}{2}[/tex] as the common fraction.

Compare [tex]\frac{3}{6}[/tex] and [tex]\frac{5}{12}[/tex] using [tex]\frac{1}{2}[/tex]:

[tex]\frac{3}{6}[/tex] is equal to the fraction [tex]\frac{1}{2}[/tex].

[tex]$\frac{3}{6}=\frac{1}{2}[/tex]

[tex]$\frac{5}{12}<\frac{1}{2}[/tex]

[tex]$\Rightarrow\frac{5}{12}<\frac{3}{6}[/tex]

Steven tiled the floor < Kiyo tiled the floor.

Hence Kiyo tiled a greater portion of a floor.

Kiyo tiled a greater portion of the floor.

To determine who tiled a greater portion of the floor, we can use a benchmark fraction. A common benchmark fraction is 1/2. Let's compare each person's portion to this benchmark:

Kiyo tiled 3/6 of the floor. Simplifying this fraction, we get 1/2.

Steven tiled 5/12 of the floor. To compare this to 1/2, we check if 5/12 is more than or less than 6/12 (which is 1/2).

Since 5/12 is less than 6/12, Steven tiled less than half, and Kiyo tiled exactly half.

Therefore, Kiyo tiled a greater portion of the floor.

Complete question: Kiyo and Steven are tiling the floors in an office building. Kiyo tiled 3/6 of the floor in one office, and Steven tiled 5/12 of the floor in another office. Write to explain how to use a benchmark fraction to determine who tiled a greater portion of a floor. You can compare hese fractions because the floors in each office are the same size. ∩ C

Answer:

1 hour and 45 mins or 1 hour, 40 mins, and 5 seconds

Step-by-step explanation:

The time 1:49 can be written as 1:49 AM or 1:49 PM in the 12-hour clock, and as 01:49 in the 24-hour clock.

To write the time 1:49 in two ways, we can use both the 12-hour clock and the 24-hour clock.

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