Suppose the x-axis of a density graph represents someone's weight in

Vivian is a salon owner. Yesterday she did 2 haircuts and colored the hair of 4 clients, charging a total of $422. Today, she di

harina [27]

Answer:

Haircuts cost $50.33

Hair Color costs $80.33

Step-by-step explanation:

Let haircut be cost "a"

coloring be cost "b"

2 haircut, 4 coloring equals 422, we can write:

2a + 4b = 422 {Equation 1}

5 haircut, 4 coloring, equals 573, we can write:

5a + 4b = 573 {Equation 2}

We now multiply equation 1 with -1 and add it with Equation 2 to get:

-1(2a + 4b = 422) = -2a - 4b = -422

Now,

-2a - 4b = -422

5a + 4b = 573

----------------------

3a = 151

a = 151/3 = $50.33

Now, to find b, we plug in this value into any equation and solve for b:

2a + 4b = 422

2(50.33) + 4b = 422

4b = 422 - 100.66

b = $80.33

Haircuts cost $50.33

Hair Color costs $80.33

4 0

3 years ago

in your stuffed animal collection you have 12 dogs, 10 more cats than dogs and 8 fewer bunnies than dogs

Alex787 [66]

22 cats, 4 bunnies, 12 dogs

5 0

3 years ago

Amanda and Fred are sister and brother. Amanda has twice as many sisters as brothers, and Fred has five times as many sisters as

pav-90 [236]

Answer:

In this family there are 5 girls and 2 boys

Step-by-step explanation:

Fred has five times as many sisters as brothers, so at least he has five sisters.

1. Let's suppose Fred has just one brother, in this case he would have five sisters (including Amanda). The condition that Fred has five times as many sisters as brothers is fufilled.

2. If Fred has one brother, it means that Amanda has two brothers

3. If Fred has five sisters (including Amanda), it means that Amanda has four sisters.

4. If Amanda has two brothers and four sisters, the condition that she has twice as many sisters as brothers is fufilled.

5. Then, in both cases, there are 5 girls and 2 boys:

Fred + 1 brother + 5 sisters = 2 boys, 5 girls

Amanda + 2 brothers + 4 sisters = 2 boys, 5 girls

8 0

3 years ago

_[blank]_ show the distribution and frequency for a set of values. _[blank]_ is how the values are spread out or grouped, and _[

snow_lady [41]

I think it's histograms for the first blank; distribution for the second blank; frequency for the third and final blank.

Hope this helps please let me know if I'm wrong :)))

8 0

3 years ago

Consider the right triangle ABC given below: The altitude divides triangle ABC into two smaller right triangles, and all three t

yKpoI14uk [10]

Answer:

x =8

y = 4sqrt(2)

z = 4sqrt(2)

Step-by-step explanation:

The easiest one to calculate is x

If it is a 45 -45-90 degree triangle then AB = BC=x

Since AB =8 then BC =8 and x=8

The next easiest to calculate is z

If it is a 45 -45-90 degree triangle then AD = BD=z

Using the Pythagorean theorem

z^2 +z^2 = 8^2

2z^2 =64

Divide by 2

x^2 = 32

Taking the square root of each side

z = sqrt(16)sqrt(2)

z=4sqrt(2)

Finally, we can find y

If it is a 45 -45-90 degree triangle then BD = DC

BD =z =4 sqrt(2) = DC = y

Therefore y =4 sqrt(2)

4 0

3 years ago