What is the measure of ZB?

Answer:

The two bowling alleys cost the same when there are 10 people in the group.

Step-by-step explanation:

Bustlin' Bowling first:

$35 base price and then $2 for each person. You can model that with b = 35 + 2x where b is the price and x is the guest number.

Grand Entertainment next:

$20 base price and then $3.50 for each person. You can model that with g = 20 + 3.5x where g is the price and x is the guest number.

So the question asks for the number of people (or what's x) that makes the cost of both bowling places equal.

In variables, it's asking when b = g, what is x?

Starting with b = g, we can replace those with the actual equations. If b = 35 + 2x and g = 20 + 3.5x, then b = g is the same as 35 + 2x = 20 + 3.5x.

I think you know how to solve that (because the trickiest part is usually translating the words into a solvable equation) but in case you don't, here's how:

35 + 2x = 20 + 3.5x

Subtract 2x from both sides.

35 = 20 + 3.5x - 2x

35 = 20 + 1.5x

Subtract 20 from both sides.

35 - 20 = 1.5x

15 = 1.5x

Divide both sides by 1.5.

15/1.5 = 1.5x/1.5

10 = x

Sooo, the answer is 10 people.

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Answer:

-10 C

Step-by-step explanation:

It started out as -30 degrees, then went down to -40 degrees. Based on this, we can correct that if we add -10 degrees to -30, it will become -40 C.

Answer:

temperature decreased

more

Step-by-step explanation:

its a photo hope this will help you

Answer:

4.08, 480, 4080, 4800

Step-by-step explanation:

Answer:

it will be $80.00 and your saving $20.00

Step-by-step explanation:

Answer:

(x - 5)² = 17

Step-by-step explanation:

Given

0 = - x² + 10x - 8 ( multiply through by - 1 to clear the leading negative )

x² - 10x + 8 = 0 ( subtract 8 from both sides )

x² - 10x = - 8

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 5)x + 25 = - 8 + 25

(x - 5)² = 17

Answer:

hi did you find the answer ? if so can you please help me ?

Step-by-step explanation:

Answer:

Ruby function notation V(h) describes the volume of the pool after h number of hours. Hours is the independent variable and the total volume as a dependent variable

Step-by-step explanation:

I got a 100%

Answer:

-143

Step-by-step explanation:

We have to substitute 4 into x.

g(4) = -3(4)^2 + 2(4) - 7

g(4) = -12^2 + 8 - 7

g(4) = -12^2 + 1

-144 + 1

-143

-47

Step-by-step explanation:

= -3(4)^2 +2(4) -7

= (-3×16) +8 - 7

= -48+8-7

= -40-7

= -47

Answer:K= -4

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

-24 + 16 = -8

-8/-4 = 2

REMEMBER a - and a - = a +

or a negative and a negative equals a positive

Answer:

7

Step-by-step explanation:

4x=36-8

4x=28

x=7

Answer:

I'm late but the answer to the question on the left is 21 and the answer to the question on the right is 3.

Step-by-step explanation:

Remember that you have to complete the equations in order of PEMDAS.

19-3×4÷(-6)

For this equation, you would do 3×4 first (which equals 12) then divide that by -6 (Which equals - 2) and finally you would subtract that from 19. 19 - (-2)= 21

6(-8) / -12 - 1

For this equation you would do 6(-8) first (which equals -48) then divide that by -12 (which equals 4) and finally subtract 1 from that 4. 4-1=3

Answer:

0.00128

Step-by-step explanation:

4

3125

is already in the simplest form. It can be written as 0.00128 in decimal form (rounded to 6 decimal places).

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 4 and 3125 is 1

Divide both the numerator and denominator by the GCD

4 ÷ 1

3125 ÷ 1

Reduced fraction:  

4

3125

Therefore, 4/3125 simplified to lowest terms is 4/3125.

Answer:

Maria bicycled 21 miles per day.

Step-by-step explanation:

294/14=21

Hope this helps!

Answer:

i think it is Associative Property of Addition

Step-by-step explanation:

Answer:

the answer is 10.16 Hope This Helps!!!

Step-by-step explanation:

because 7.62+2.54= 10.16

Answer:

10.16

Step-by-step explanation:

The value of the given exponent is [tex]\frac{5}{2}[/tex]

Given:

The exponent = [tex](\frac{4}{25})^{\frac{-1}{2}}[/tex]

To find:

The value of a given exponent

Solution:

[tex](\frac{4}{25})^{\frac{-1}{2}} = ?[/tex]

Using the identity of an exponent : [tex](\frac{m}{n})^{x} = \frac{m^{x}}{n^{x}}[/tex]

[tex](\frac{4}{25})^{\frac{-1}{2}} = \frac{(4)^{(\frac{-1}{2})}}{(25)^{(\frac{-1}{2})}}\\[/tex]

Using the identity of an exponent : [tex]a^{-x} = \frac{1}{a^x}[/tex]

[tex]=\frac{(25)^{(\frac{1}{2})}}{(4)^{(\frac{1}{2})}}\\=\frac{(25)^{(\frac{1}{2})}}{(4)^{(\frac{1}{2})}}\\=\frac{((5)^2)^{(\frac{1}{2})}}{((2)^2)^{(\frac{1}{2})}}\\[/tex]

Using the identity of an exponent: [tex](a^{n})^m=a^{m\times n}[/tex]

[tex]=\frac{5^{(2\times \frac{1}{2})}}{2^{(2\times \frac{1}{2})}}\\=\frac{5^1}{2^1}\\=\frac{5}{2}[/tex]

The value of the given exponent is [tex]\frac{5}{2}[/tex].

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Answer:

$2.86 is what he got back

Answer:

what is this tell me it is for asking ansee

Answer:

56.70

Step-by-step explanation:

Answer:

RS = 14

Step-by-step explanation:

Perimeter = 26 + 26 + PT + RS

We know that PT and RS are equal to each other so I changed the equation to 26 + 26 + x + x = 10 + 5x and then I got x by itself and the integer on one side 42 = 3x, so 14 = x

The value of RS will be 14 for the given parallelogram.

A basic quadrilateral with two sets of parallel sides is known as a parallelogram.

A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.

There are 4 types of parallelograms, including 3 special types. The four types are parallelograms, squares, rectangles, and rhombuses.

Given the parallelogram where TS ║ PR and both are equal

Line TP ║ SR so it means TP = SR

Let's say

TP = SR = x

Now,

The perimeter of a parallelogram is 10 more than 5(RS)

So,

PT + TS + SR + RP = 5(RS) + 10

Now since TP = RS = x

So,

x + TS + x + RP = 5x + 10

5x - 2x = TS + RP - 10

x =  (TS + RP - 10)/3

Now,

TS = RP = 26

So,

x = (26 + 26 - 10 )/3

x = 42/3

x = 14

Hence "The value of RS will be 14 for the given parallelogram".

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Answer:

it would be 6 and 6 since it states equal distance and it also says a few forward and a few backward. It makes it sound like this was an equal amount each way

Step-by-step explanation:

Answer:

6 steps forward and 6 steps backward

Step-by-step explanation:

If the bear ended up back at its starting position, this means that the distances forward and backward have to be the same.

Since 6 = 6, this answer is correct.

The bear would have to take the same amount of steps forward and backwards.

Answer: 3 would be a adjacent angle

Step-by-step explanation:

They don’t overlap

Answer:

Step-by-step explanation:

True:

Any letter can be used as a variable (yes)

Variables are used for numbers that haven't been defined yet (maybe)

All the rest are false

Hope this helps!

The true statements about variables are:

ii) Any letter can be used as a variable.

v) Variables are used for numbers that haven't been defined yet.

Explanation:

i) This statement is not true. Equations can involve multiple variables. For example, the equation "x + y = 10" involves two variables, x and y.

ii) This statement is true. In mathematics, variables are represented by letters, and any letter can be used to represent a variable. Common choices include x, y, z, a, b, c, etc.

iii) This statement is not true. While x is commonly used as a variable in many mathematical contexts, it is not the only letter that can be used. As mentioned earlier, any letter can be used as a variable.

iv) This statement is not true. Variables are specifically used in mathematical operations. They allow us to represent unknown quantities or values that can change. Mathematical operations involving variables are fundamental in algebra and many other branches of mathematics.

v) This statement is true. One of the primary purposes of variables is to represent numbers that haven't been defined yet. Variables act as placeholders for unknown values, and they allow us to generalize mathematical relationships and solve equations. Once we assign specific values to variables, the equations or expressions can be evaluated or solved.

In summary, variables are flexible symbols that can represent unknown or changing values in mathematical equations and expressions. They can be any letter and are essential for performing mathematical operations and solving problems involving unknown quantities.

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Answer:

the like terms here are the x and the + symbol.

Step-by-step explanation:

If a part of the equation appears more than once that is a like term.

Answer:

B or 32 m/s is the correct answer have a nice day!   :)

Answer:

That baseball is thicc.

Answer:

lvkykcjfcj

Step-by-step explanation: