What is the rate of change of the function represented by the table?

The ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint

katrin2010 [14]

Answer:

Part A: Number of cups of blue paint are 3 that are mixed with each cup of red paint.

Part B: $\frac{1}{3}$

Part C: $8

Step-by-step explanation:

Given that:

The ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint is 3:1.

Part A:

The number of cups of blue paint = 3

The number of cups of red paint = 1

In sentence form, it can be written that:

Number of cups of blue paint are 3 that are mixed with each cup of red paint.

Part B:

3 cups of blue paint requires 1 cup of red paint.

$\frac{3}{3}=1$ cup of blue paint requires $\frac{1}{3}$ cup of red paint.

Here, unitary method is used.

So, $\frac{1}{3}$ cup of red paint should be added to each cup of blue paint to make shade of purple.

Part C:

6 cups of blue paint are purchased for $48.

1 cup of blue paint is purchased for $\frac{\$48}{6} = \$8$

5 0

2 years ago

a room in a form of a cuboid has a length of 5cm, height 8cm and breadth 0.07m. if one person can occupy a volume of 14cm3(cube)

Over [174]

Answer:

20 people

Step-by-step explanation:

The volume of a cuboid is equal to length * breadth * height.

First, we want to figure out the values relative to each other. Everything is in centimeters except the breadth, which is 0.07m. To convert meters to centimeters, we can multiply by 100: 0.07 * 100 = 7, so the breadth is 7cm.

Next, the volume is length * breadth * height = 5cm * 7cm * 8cm = 280cm³. Each person occupies 14cm³. To find how many people can occupy the cube, we can divide the volume by the space each person takes, so

280cm³/14cm³ = 20 people

Note that we can divide because each person takes x amount of space, and the total space, z, can be represented by x * y = z, with y representing the amount of people, because we add x space for each person. Dividing both sides by x, we get y = z/x

5 0

3 years ago

If arc XV = 68° and ∠YUV = 36°, what is the measure of arc VY? A) 120° B) 130° C) 140° D) 150°

dybincka [34]

The picture in the attached figure

we have
arc XV = 68°∠YUV = 36°
we know that
The measure of the external angle is the semidifference of the arcs that it covers.
therefore
∠YUV =[arc VY-arc XV]/2

arc VY=[2*∠YUV]+arc XV----------> [2*36]+68---------> 140°

the answer is
the measure of arc VY is 140°

6 0

3 years ago

Is 26,341 divisible by 3?

shepuryov [24]

No. 26,341 is not evenly divisible by 3 .

Here's the trick you can use to decide this
just by looking at a big number:

==> If a number is divisible by 3, then the
sum of its digits is divisible by 3.

I've never taken the trouble to figure out why this works,
but it does work. I didn't make it up. It's widely known.

So let's look at 26,341 .

The sum of the digits is (2 + 6 + 3 + 4 + 1) = 16 .

16 is not divisible by 3 , so 26,341 is not divisible by 3 .

Is that cool or what !

3 0

3 years ago

Read 2 more answers

PLZ HELP ASAP SOLVE SIMMILAR TRIANGLES (BASIC)

GuDViN [60]

By similarity of triangles we have the following relationship:

(x) / (6) = (18) / (9)

Simplifying we have:

(x) / (6) = 2

Clearing the value of x we have:

x = 6 * 2

X = 12

Answer:

The value of x for this case is equal to:

X = 12

5 0

3 years ago