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3 years ago

How would you turn "a computer technician charges $75 for a consultation plus $35 per hour" in slope intercept form?

1 answer:

4 0

Y = 35/1 + 75

If there is a starting fee ($75) it does not change, but if there is ALSO an hourly fee ($35) that can double, triple, etc by the hour. Hope this helps!

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Fernando is making 30 sundaes with mint, chocolate,and vanilla ice cream.1/3 of the Sunday's are mint ice-cream and 1/2 of the r

Alina [70]

Answer:

10 sundaes will be vanilla.

Step-by-step explanation:

Given:

Fernando is making 30 sundaes with mint, chocolate,and vanilla ice cream.

1/3 of the Sunday's are mint ice-cream.

And 1/2 of the remaining sundaes are chocolate.

The rest are vanilla.

Now, to find the number of sundaes that will be vanilla.

Fernando is making sundaes total = 30.

So, the quantity of sundaes that are mint ice-cream:

$\frac{1}{3} \ of\ 30\\\\=\frac{1}{3} \times 30\\\\=10.$

Thus, 10 sundaes are mint ice-cream.

So, the remaining sundaes are:

$30-10=20.$

Thus, the remaining sundaes are = 20.

Now, to get the quantity of chocolate sundaes of the remaining sundaes:

$\frac{1}{2} \ of\ 20\\\\=\frac{1}{2} \times 20\\\\=10.$

Hence, 10 sundaes are chocolate of the remaining 20 sundaes.

As, given the rest are vanilla.

Now, to get the vanilla sundaes we subtract the 10 chocolate ice-cream from the 20 remaining sundaes:

$20-10=10.$

Therefore, 10 sundaes will be vanilla.

5 0

3 years ago

Simplify each expression using the order of operations 6 + 4/a + b/3 when a = 4 and b = 3

kolbaska11 [484]

6+4/4 + 3/3 (substitute variables)
10/4 + 3/3 (add 6+4)
5/2 + 1 (Simplify fractions)
2 1/2 + 1 (Write improper fraction as proper fraction)
3 1/2 (add)

Answer: 3 1/2 (three and a half)

4 0

3 years ago

a. Assuming a linear relationship between year and salaries by gender, determine when the median annual salary for women will ex

Snowcat [4.5K]

First We have to find the tendency for both cases individually. Let's calculate the equation of the line for each one.

For Men we take two points (year, salary) ( 2 , 35,308) ( 4 , 37076) With these points we are going to calculate the slope of the line.

$m=\frac{y2-y1}{x2-x1}=\frac{37076-35308}{4-2}=884$

Then, we have to calculate the intercept of the line with the slope and point (2, 35,308)

y= mx+ b

35,308 = 884*(2)+b

Isolating b,

35,308 - 1768 = b

33540=b

The first equation must be y = 884x +33540

For Women we take two points (year, salary) ( 2 , 27,508) ( 4 , 29,796 ) With these points we are going to calculate the slope of the line

$m=\frac{y2-y1}{x2-x1}=\frac{29,796-27,508}{4-2}=1144$

Then, we have to calculate the intercept of the line with the slope and point (2, 27,508)

y= mx+ b

27,508 = 1144*(2)+b

Isolating b,

27,508 - 2288 = b

25220=b

The second equation must be y = 1144x +25220

Now We are going to find the incercept of these equations, we are going to formulate the following equation

884x+33540 = 1144x+25220

33540-25220=1144x-884x ( Isolating terms with x)

8320=260x (Solving on each side)

8320/260 = x =32 ( Isolating x)

It implies that after 32 years Women would exceed men.

B. It seems that as the number of bachelor degrees of women exceeds men's number, the salary increases at a higher rate. So , the change would be greater for women than men every year.

3 0

1 year ago

Which theorem or postulate proves the two triangles are similar?

dexar [7]

Answer:

ss5- theorem

Step-by-step explanation:

hcbcjzbvnzcvbnxcbv bxcn

6 0

3 years ago

What is the theoretical probability of selecting a heart or a spade from a standard deck of cards

Tanya [424]

50-50 i think he is right

5 0

3 years ago