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4 years ago

When you subtract one negative integer from another, will your answer be greaTER THAN OR LESS THAN THE INTEGER YOU STARTED WITH?

Mathematics

2 answers:

Alexus [3.1K]4 years ago

7 0

It will be greater than what you started with

Phoenix [80]4 years ago

6 0

Less than what you started with. For example 7- -2 is 5 which is less than 7.

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The total cost to rent 3 chairs and 2 tables is $17 . The total cost to rent 8 chairs and 4 tables is $37 . What is the cost to

Contact [7]

Let's make some variables to represent the cost of the tables and chairs.

Let x be equal to the cost of one chair
Let y be equal to the cost of one table

The total cost for 3 chairs and 2 tables is $17.

3x + 2y = 17

The total cost for 8 chairs and 4 tables is $37.

8x + 4y = 37

Now we have our system of equations.
Let's solve it.

3x + 2y = 17
8x + 4y = 37

We can cancel the y's very easily. Then it would just leave us with the x's.
Multiply the top equation by -2.

3x(-2) + 2y(-2) = 17(-2) =
-6x - 4y = -34

Then add the equations together.

-6x - 4y = -34
8x + 4y = 37
=
2x = 3

Then just divide both sides by 2.

x = 1.5

Substitute 1.5 into one of the equation. I'll pick 3x + 2y = 17

3(1.5) + 2y = 17 ; Start
4.5 + 2y = 17 ; Multiply 3 and 1.5 together
2y = 12.5 ; Subtract 4.5 from each side of the equation
y = 6.25 ; Divide both sides by the coefficient of y. Which 2

So, a chair costs $1.50 and a table costs $6.25.

5 0

3 years ago

Read 2 more answers

Write one digit on each side of 10 to make a four digit multiple of 72. How many different solutions does this problem have? The

Viefleur [7K]

If we write 4 to each side of 10, we will get a four digit number 4104, which is a multiple of 72.

To find out other possible solutions, first start with 1 in front of 10.

Now, divide 110 by 72.

The remainder is 38.

We are going to put one more digit after 10.

So, let us check if there is any three digit number whose first two digits are 38 and which is a multiple of 72.

There is no such number since 5 × 72 = 360 and 6 × 72 = 432.

So, there is no four digit number whose first three digits are 110 and which is a multiple of 72.

If we try like this, we can find 4104 is the only solution.

5 0

4 years ago

Match each function with the expression representing Its Inverse function.

USPshnik [31]

Answer:

Step-by-step explanation:

1). g(x) = -0.5x

Equation form of the given function is,

y = -0.5x

Interchange x and y,

x = -0.5y

Solve for y,

y = $-\frac{x}{0.5}$

y = -2x

Inverse function will be,

$g^{-1}x=-2x$

2). h(x) = 4x

Equation form of the function will be,

y = 4x

Interchange x and y,

x = 4y

Solve for y,

y = $\frac{x}{4}$

Inverse function will be,

$h^{-1}(x)=0.25x$

3). y = x - 4

Interchange x and y,

x = y - 4

Solve for y,

y = x + 4

Therefore, inverse of the linear equation is,

y = x + 4

4). f(x) = $\frac{x}{2}$

Equation form of the function will be,

y = $\frac{x}{2}$ = x

Interchange x and y,

x = $\frac{y}{2}$

Solve for y,

y = 2x

Therefore, inverse function will be,

$f^{-1}(x)=2x$

5). k(x) = x

Equation form of the function will be,

y = x

Interchange x and y,

x = y

Solve for y,

y = x

Inverse of the function 'f' will be,

$k^{-1}(x) =x$

6). p(x) = x + 4

Equation form of the function will be,

y = x + 4

Interchange x and y,

x = y + 4

Solve for y,

y = x - 4

Inverse of the function 'p' will be,

$p^{-1}(x)=x - 4$

7 0

3 years ago

A number whose square roots are integers or quotients of integers.

klio [65]

Answer:

Perfect Square

4 0

3 years ago

Read 2 more answers

-6*(-3) as a real life problem

Mekhanik [1.2K]

Answer:

Step-by-step explanation:

-6 × (-3)

negative× negative= positive

so 18.

6 0

3 years ago