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3 years ago

Solving equations -3x+7=28?

Mathematics

2 answers:

scoundrel [369]3 years ago

7 0

Answer:

X= -7

Step-by-step explanation:

AURORKA [14]3 years ago

3 0

Answer:

x = - 7

Step-by-step explanation:

- 3x + 7 = 28

- 3x + 7 - 7 = 28 - 7

- 3x = 21

- 3x/3 = 21/3

- x = 7

x = - 7

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The area of ABED is 49 square units. Given AGequals9 units and ACequals10 units, what fraction of the area of ACIG is represent

stiks02 [169]

Answer:

The fraction of the area of ACIG represented by the shaped region is 7/18

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the square ABED find the length side of the square

we know that

AB=BE=ED=AD

The area of s square is

$A=b^{2}$

where b is the length side of the square

we have

$A=49\ units^2$

substitute

$49=b^{2}$

$b=7\ units$

therefore

$AB=BE=ED=AD=7\ units$

step 2

Find the area of ACIG

The area of rectangle ACIG is equal to

$A=(AC)(AG)$

substitute the given values

$A=(9)(10)=90\ units^2$

step 3

Find the area of shaded rectangle DEHG

The area of rectangle DEHG is equal to

$A=(DE)(DG)$

we have

$DE=7\ units$

$DG=AG-AD=9-7=2\ units$

substitute

$A=(7)(2)=14\ units^2$

step 4

Find the area of shaded rectangle BCFE

The area of rectangle BCFE is equal to

$A=(EF)(CF)$

we have

$EF=AC-AB=10-7=3\ units$

$CF=BE=7\ units$

substitute

$A=(3)(7)=21\ units^2$

step 5

sum the shaded areas

$14+21=35\ units^2$

step 6

Divide the area of of the shaded region by the area of ACIG

$\frac{35}{90}$

Simplify

Divide by 5 both numerator and denominator

$\frac{7}{18}$

therefore

The fraction of the area of ACIG represented by the shaped region is 7/18

5 0

2 years ago

Problem<br> 1<br> + 10x + 13 = 4

lutik1710 [3]

Answer:

$x = -1$

Step-by-step explanation:

Equation: $1+10x+13=4$

Step 1: Balance both parts of the equation.

$1+10x+13=4$

$(10x)+(1+13)=4$

$10x+14=4$

Step 2: Reduce 14 from both parts of the equation.

$10x+14-14=4-14$

$10x= -10$

Step 3: Split both sides by 10, because $\mathrn {10x = -10}$ .

$\frac{10x}{10} = \frac{-10}{10}$

$10 / -10 = -1$

Therefore, x = -1.

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3 years ago

A rectangle has an area of 112 m2. The length is 12 m more than four times the width. What is the length of a diagonal of the re

tankabanditka [31]

The answer is 1,344 hope this helps

3 0

3 years ago

Order the numbers from least to greatest.<br> 3.4, 31/5, 35.8%, 3.64, 322%

crimeas [40]

Order the numbers from least to greatest.
3.4, 31/5, 35.8%, 3.64, 322%

8 0

2 years ago

6th grade math help me plzzz

lord [1]

Answer:

Step-by-step explanation:

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2 years ago