Given: 5 > x + 7. Choose the solution set.

{x | x R, x > -2}
{x | x R, x < -2}
{x | x R, x > 2}
{x | x R, x < 2}

Answers

Answer 1

Answer: $5\ \textgreater \ x+7$

Switch sides:

$x+7\ \textless \ 5$

Subtract 7 from both sides :

$x+7-7\ \textless \ 5-7$

$x\ \textless \ -2$

Answer B

{x | x R, x < -2}

hope this helps!

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What is the distance between the points (3,7) and (15,16)?

Answers

distance between the point formula is
d= $√((y2-y1)^2+(x2-x1)^2)$
where (x1,y1) and (x2,y2) are coordinates points

here points are given (3,7) (15,16)

put those points into distance formula
d= now u can do this

The length of a rectangle is three times longer than its width. The perimeter of the rectangle is 16 feet. If x represents the width of the rectangle, which equation can be used to find its value?

Answers

l = 3x
perimeter = 2(l + w) = 2(3x + x) = 2(4x) = 8x = 16
x = 16/8 = 2 feet
l = 3x = 3 * 2 = 6 feet

Luis walked 2 3/4 miles in 2 hours. How many miles did he walk in one hour?

Answers

The number of miles walked by Louis in 1 hour is given by the equation

A = 11/8 miles = 1 3/8 miles

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of miles walked by Louis in 1 hour be A

Now , the equation will be

The number of miles walked by Louis in 2 hours = 2 3/4 miles

The number of miles walked by Louis in 2 hours = 11/4 miles

Now ,

The number of miles walked by Louis in 1 hour A = ( 1/2 ) x number of miles walked by Louis in 2 hours

Substituting the values in the equation , we get

The number of miles walked by Louis in 1 hour A = ( 1/2 ) x 11/4 )

On simplifying the equation , we get

The number of miles walked by Louis in 1 hour A = 11/8 miles

Therefore , the value of A is 1 3/8 miles

Hence , the number of miles is 11/8 = 1 3/8 miles

To learn more about equations click :

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Answer:

1 3/8

Step-by-step explanation: divide by 2 (11/16) then add them together to see if you get 2 3/4

Maria is a web designer who runs her own business. She charges and hourly rate of $136. When doing work for a client between 5 pm and 11 pm , she charges a time and a half rate . How much would she charge a client for working from 9 am to 10 pm?

Answers

Answer:

2108

Step-by-step explanation:

First find the hours between 9 am and 5 pm

8 hours

This is at her regular rate of 136

8*136 = 1088

Then between 5 pm and 10 pm = 5 hours

This is at 1.5 her regular rate 1.5*136 =204

5 *204 =1020

1088+1020 = 2108

$136 regular rate
$136 x 1.5 = $204 ( 5pm - 11 pm)
9-5pm = 8 hrs
5-10 = 5 hrs

(136 x 8) + (204 x 5)
$1088 + $1020
= $2108

Find x when y =18, if y = 5 when x = 4

Answers

Answer:

14.4

Step-by-step explanation:

x=18

if x=4 then y=5

18/5= 3.6

therefore x= 4 times 3.6 or 14.4

Which one of the following equations illustrates the commutative property?A) 8 + 3 = 4 + 7
B) If 3 + 5 = a, then a=3+5
C) 2 + b = b + 2
D) 3(2 + 5) = 6 + 15