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3 years ago

Use the distributive property to write an expression that is equivalent to each given property.

Mathematics

1 answer:

Nadya [2.5K]3 years ago

3 0

Answer:

-6x+12

-9+5a

7x+63

8y-4/5x-12

Step-by-step explanation:

To solve these all you have to do is take the number outside of the parenthesis and multiply them by each term.

-3(2x)-3(-4) All I did here was expand the problem to show what i mean by terms.

-6x+12

Do this for each problem.

0.1(-90)+0.1(50a)

-9+5a

-7(-x)-7(-9) For this one you are taking negatives times negatives so each answer will be positive.

7x+63

4/5(10y)+4/5(-x)+4/5(-15)

8y-4/5x-12

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Aubrey claims that if the dimensions of the parallelogram shown are doubled, then the area of the larger parallelogram will be 4

Ostrovityanka [42]

Answer:

Aubrey is correct because the area of the new parallelogram is 12 (6) = 72 square inches. The original area is 18 square inches. Since 4 (18) = 72, the new parallelogram has 4 times the area of the original.

Step-by-step explanation:

A parallelogram with a base of 6 inches and height of 3 inches. A side has a length of 5 inches.

Aubrey is correct because the area of the new parallelogram is 10 (7) = 70 square inches. The original area is 18 square inches. Since 4 (18) = 72, it is about 4 times larger than the original.

Aubrey is incorrect because if one doubles each dimension, then the area will automatically be doubled as well. The original area is 18 square inches so the new parallelogram will have an area of 2 (18) = 36, or two times more than the original.

Aubrey is incorrect because if one doubles each dimension, then the area will automatically be doubled as well. The original area is 30 square inches so the new parallelogram will have an area of 2 (30) = 60, or 2 times more than the original.

Workings

Area of a parallelogram=base×height

Original parallelogram

Base=6 inches

Height=3 inches

Area=base×height

=6×3

=18 square inches

New parallelogram with doubled dimensions

Base=6 inches doubled=12 inches

Height=3 inches doubled=6 inches

Area=base×height

=12×6

=72 square inches

New area=4 times original area

New area=4×18

New area=72 square inches

5 0

3 years ago

Evaluate the following expression (2.3)-3(1,1)

uranmaximum [27]

Answer:

2.3 - ( 3, 1)

Step-by-step explanation:

1) Simplify 3 × (1, 1) 3 × (1, 1) to 3× 1, 13 × 1,1.

2.3 - ( 3 × 1, 1 )

2) Simplify 3 × 1 to 3.

2.3 - ( 3, 1)

Therefor, the answer is 2.3 - ( 3, 1).

3 0

3 years ago

Read 2 more answers

There are 6 triangles and 2 circles. What is the simplest ratio of circles to total shapes?

damaskus [11]

There is no simpler ratio then 1:4. So the answer is 1:4.

8 0

3 years ago

Need answers ASSAP

ollegr [7]

Data:
r (radius) = 3.5 in
h (height) = 8 in
Adopt: $\pi \approx3.14$
V (volume) = ?
Ink cost per cubic inch = $0.05/in³
Total cost: ?

Calculate the volume of the paint bucket (its formed being cylindrical), we have:
 $V = \pi *r^2*h$
$V = 3.14 *3.5^2*8$
$V = 3.14*12.25*8$
$\boxed{V = 307.72\:in^3}$

What was the total cost of the paint?

price($)___measure(in³)
0.05 ---------- 1
y -------------- 307.72

It is made the rule of three: (directly proportional)

$\frac{0.05}{y} = \frac{1}{307.72}$
multiply cross
$1*y = 0.05*307.72$
$y = 15.386\:\to\:\boxed{\boxed{y\approx\$15}}\end{array}}\qquad\quad\checkmark$

Answer:
the total cost of the paint is $15

7 0

3 years ago

Jaden carried her receipt for the doctor visit to the cashier. The amount billed was $112 she has $29 copay how much will she be

JulijaS [17]

The amount she will pay is $141.

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3 years ago