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3 years ago

Simplify this equation -5x+7>22

Mathematics

1 answer:

Lana71 [14]3 years ago

4 0

Answer:

Step-by-step explanation:

$- 5x + 7 > 22$

Move 7 to the other side of the inequality

$- 5x > 22 - 7 \\ - 5x > 15$

Divide both sides by - 5

$\frac{ - 5x}{5} > - \frac{15}{5} \\ x > - 3$

Reverse the sign

We have the final answer as

Hope this helps you

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The combined area of a square and a rectangle is 225 square yards. the length of the rectangle is 8 times the width of the recta

snow_lady [41]

Answer:

The rectangle: L = 40 yards. W = 5 yards

The square: The length and width are both 5 yards.

Step-by-step explanation:

Let L and W be the length and width of the rectangle.

Let l and w be the length and width of the square.

Area for each is:

Rectangle: L*W

Square: l*w

We are told that L*W + l*w = 225 yards^2

We are also told that

L = 8W

and that

l = W

Since the sides of a square are all equal, w is also W: w=W

Summarizing and substituting:

L*W + l*w = 225 yards^2

(8W)*W + W*W = 225 yards^2

8W^2 + W^2 = 225 yards^2

9W^2 = 225 yards^2

W^2 = 25

W = 5 feet

---------------------

Therefore, since L = 8W , L = 40 yards. W = 5 yards for the rectangle.

The square: l=W, so l = 5 yards, and thus w=5 yards

--------------------------

Check:

Do a rectangle of 40' x 5' plus a square of 5' x 5' have a total combined area of 225 yards^2?

40yd x 5yd + 5yd x 5yd = 225 yards^2?

200 yd^2 + 25 yd^2 = 225 yards^2?

YES

5 0

2 years ago

there ar 2.54 centimeters in 1 inch. how many cantimeter are in 1 foot? in 1 yard explain you reasoning

VARVARA [1.3K]

There are 30.48 centimeters in a foot

7 0

3 years ago

Which of the following expressions are equivalent to 6 + (-4) - 5

Mila [183]

Answer:

B and C

Step-by-step explanation:

All you need to do is find the answer for all of them and see which ones match

Original:

6 + (-4) - 5

6 - 4 - 5

2 - 5

-3

This is the answer for the original expression, now we need to see which one is the correct match....

A. -(-6 + 4 ) - 5

2 negatives being subtracted gives you a positive

6 + 4 - 5

10 - 5

Incorrect, so now we know its not A

B. 6 - 4 - ( -5)

Again 2 negatives give you a positive

6 - 4 + (5)

6 - 9

-3

Correct, so now we know its B

C. 6 - (4 + 5)

PEMDAS so do the parenthesis first

6 - 9

-3

Correct, so now we it's C.

D. 6 + 4 - 56

10 - 56

-46

Incorrect, so now we know its not D

E. -(-6) + (-4) - (-5)

Again, 2 negatives equal a positive

6 - 4 + 5

2 + 5

Incorrect so now we know its not E

The correct answer is C

Hope this helped!

Have a supercalifragilisticexpialidocious day!

6 0

3 years ago

What is the arithmetic mean of the following numbers? 8 10 8 5 4 7 5 10 8

Bas_tet [7]

I re-orders as 4,5,5,7,8,8,8,10,10.

Mean 7.2222222222222
Median 8
Mode 8
Range 6
Minimum 4
Maximum 10
Count n 9
Sum 65
Quartiles Quartiles:
Q1 --> 5
Q2 --> 8
Q3 --> 9
Interquartile
Range IQR 4
Outliers none

4 0

3 years ago

Hailey is a high school basketball player. In a particular game, she made some three point shots and some free throws (worth one

NISA [10]

Answer: the system of equations are

3x + y = 14

y = 4x

Step-by-step explanation:

Let x represent the number of three point shots that Hailey made.

Let y represent the number of free throws(worth one point each) that Hailey made.

Hailey made some three point shots and some free throws and

scored a total of 14 points. This would be expressed as

3x + y = 14

Hailey made 4 times as many free throws as three point shots. This would be expressed as

y = 4x

8 0

3 years ago

Read 2 more answers