How could you correctly rewrite the equation 6(11-3)=4(7+5) using the distributive property?

it takes Maya 30 minutes to solve 5 logic puzzles, and it takes Amy 28 minutes to solve 4 logic puzzles. use models to show the

7nadin3 [17]

Answer:

Maya ---> $6\ minutes/puzzle$

Amy ----> $7\ minutes/puzzle$

see the procedure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Let

m ---> the number of minutes

p ---> the number of puzzles

In this problem, the relationship between the variables m and p represent a proportional variation

so

$m=kp$

Maya

it takes Maya 30 minutes to solve 5 logic puzzles

we have

m=30, p=5

Determine the value of the constant of proportionality k

$k=\frac{m}{p}$

substitute the given values

$k=\frac{30}{5}=6\ minutes/puzzle$

The value of the constant k is the same that the slope or unit rate

The equation is equal to

$m=6p$

Amy

it takes Maya 28 minutes to solve 4 logic puzzles

we have

m=28, p=4

Determine the value of the constant of proportionality k

$k=\frac{m}{p}$

substitute the given values

$k=\frac{28}{4}=7\ minutes/puzzle$

The value of the constant k is the same that the slope or unit rate

The equation is equal to

$m=7p$

8 0

4 years ago

Countries with low GDPs are the most highly developed countries in the world.

I am Lyosha [343]

The answer is False, countries with higher gross domestic products are the most highly developed countries

6 0

3 years ago

Read 2 more answers

Sawyer picks a negative number what is ture about the opposite of the number

Ilia_Sergeevich [38]

It’s a positive number, it’s exactly the same distance from zero as the negative number he picked

7 0

4 years ago

Without doing any calculations, determine the missing number that will make the value of Expression B half the value of Expressi

Free_Kalibri [48]

Answer:

6

Step-by-step explanation:

12÷2=6

Hope this helps! :)

8 0

3 years ago

Hey guys, can you help me please

KatRina [158]

<h3>Answer: 93.382 square cm</h3>

=========================================================

Work Shown:

The green triangle in the back has height 2.6 and an unknown base x. Half of this is x/2, which I'll call y. So y = x/2.

The green triangle in the back is split along the vertical dotted line to get two right triangles. The base of each right triangle is y = x/2.

Use the Pythagorean theorem to find y. Use that to find x

a^2+b^2 = c^2

y^2+(2.6)^2 = (3.2)^2

y^2 + 6.76 = 10.24

y^2 = 10.24 - 6.76

y^2 = 3.48

y = sqrt(3.48) .... apply square root

y = 1.8654758 approximately

x/2 = 1.8654758

x = 2*1.8654758

x = 3.7309516 also approximate

The base of the triangle is roughly 3.7309516 meters

We can now find the area of one green triangle

area of triangle = base*height/2 = 3.7309516*2.6/2 = 4.85023708

two triangles have approximate area 2*(4.85023708) = 9.70047416

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So far we've only considered the triangular faces. There are 3 more faces which are the rectangular sides. These are known as the lateral sides.

One way to get the lateral surface area is to multiply the perimeter of the triangle by the depth of the prism

perimeter of triangle = (side1)+(side2)+(side3)

perimeter = 3.7309516 + 3.2 + 3.2

perimeter = 10.1309516

lateral surface area = (depth)*(perimeter)

lateral surface area = (8.26)*(10.1309516)

lateral surface area = 83.681660216

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The last step is to add this lateral surface area onto the area of the two triangles to get the full surface area

surface area = (triangular area) + (lateral surface area)

surface area = (9.70047416) + (83.681660216)

surface area = 93.382134376

surface area = 93.382 square cm

3 0

3 years ago

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