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2 years ago

- 4x + 14 = -2(2x + 7)

Mathematics

1 answer:

expeople1 [14]2 years ago

4 0

X=4
-4x4=-16+14=-2
2x4=8+7=15
-2 x 15=30

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Sketch the algebra-tile shape at right on your paper. Write an expression for the

Dima020 [189]

Answer:

Part 1) $P=(4x+4)\ units$

Part 2)

a) $P=32\ units$

b) $P=26\ units$

c) $P=13\frac{1}{3}\ units$

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

Part 1) Write an expression for the perimeter of the shape

we know that

The figure is composed by a larger square, a rectangle and a smaller square

1) The area of the larger square is given

$A=x^2\ units^2$

The length and the width of the larger square is x units

2) The area of the rectangle is given

$A=x\ units^2$

The length of the rectangle is x units and the width is 1 unit

3) The length and the width of the smaller square is x units

see the attached figure N 2 to better understand the problem

Find out the perimeter

The perimeter is the sum of all the sides.

$P=(x+x+x+x+1+1+1+1)$

$P=(4x+4)\ units$

Part 2) Find the perimeter for each of the given values of x.

a) For x=7 units

Substitute the value of x in the expression of the perimeter

$P=(4(7)+4)=32\ units$

b) For x=5.5 units

Substitute the value of x in the expression of the perimeter

$P=(4(5.5)+4)=26\ units$

b) For x=7/3 units

Substitute the value of x in the expression of the perimeter

$P=(4(\frac{7}{3})+4)=\frac{40}{3}=13\frac{1}{3}\ units$

8 0

2 years ago

45.50 is 30% of what number

m_a_m_a [10]

Answer:

31.85

Step-by-step explanation:

to subtract 30 percent from 45.50 just divide the percentage (30) by 100 subtract this value form 1 then multiply it by the initial value (45.50) so

final value = 45.50 x ( 1 - $\frac{30}{100}$ )

final value = 45.50 x ( 1 - 0.3)

final value = 45.50 x (0.7)

final value = 31.85

subtract 30% is the same as discount 30% this operation could be for example a 30% discount on 45.50

note: 0.3 can be found just by moving the decimal point 2 places to the left $\frac{30}{100}$ = 0.3 as a decimal

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2 years ago

Factor. 21x^2 -32x+12

baherus [9]

Through trial and error:
(7x-6)(3x-2)

Usually it works best to test out a number of possibilities :)

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3 years ago

0.2, 0.19,3/5 greatest to least

nasty-shy [4]

3/5=0.6

3/5, 0.2, 0.19

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3 years ago

Read 2 more answers

Which postulate proves that the triangles below are similar?

Molodets [167]

Answer:

AA~

Step-by-step explanation:

These triangles are similar but not congruent. One triangle is bigger than the other, meaning none of the side lengths are the same. On the triangles, two angles are given, a 53 degree and a 90 meaning that you would us the AA rule to determine if they are similar. Which they are.

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3 years ago