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aleksandr82 [10.1K]
1 year ago
13

Penny charges $5 per hour for babysitting, plus a flat fee of $12 for her travel expenses. Charlene charges $3 per hour for baby

sitting, plus a flat fee of $18 for her travel expenses.
Write an equation that could be used to determine the number of hours each babysitter must work to earn the same amount *
Mathematics
1 answer:
sweet [91]1 year ago
7 0

Answer: 5x+12=3x+18

Step-by-step explanation: let x = hours worked

Penny earns $5/hour + $12 fee so 5x+12

Charlene earns $3/hour + $18 fee so 3x+18

They are going to earn the same thing so 5x+12=3x+18

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Ampicillin 250 mg IM every 12 hours is ordered. After reconstitution, there's 125 mg/mL. How many mL would you give?
Vanyuwa [196]

Answer:

Correct choice is C. 2 mL.

Step-by-step explanation:

Given that Ampicillin 250 mg IM every 12 hours is ordered. After reconstitution, there's 125 mg/mL. Now we need to find about how many mL would you give.

Let number of ml needed = x.

Since ratio of mg per mL will be fixed so we get equation:

\frac{mL}{mg}=\frac{x}{250}=\frac{1}{125}

\frac{x}{250}=\frac{1}{125}

x=\frac{1}{125} \times 250

x=\frac{250}{125}

x=2

Hence correct choice is C. 2 mL.

4 0
2 years ago
Andrew has a fish tank in the shape of a rectangular prism, and he needs to know the volume of water necessary to fill the tank.
Alex

Answer:

The correct option is D.

Step-by-step explanation:

Domain is the set of all posible

The volume of a rectangular prism is

V=\text{Base area}\times height

where,

\text{Base area}=length\times width

Dimensions can not be negative. So, the width and volume are always positive.

From the graph it is noticed that

In interval (-\infty, -5), width and volume is negative, so (-\infty, -5) interval is not the domain.

In interval (-5,0), width is negative, so (-5,0) interval is not the domain.

In interval (0,3), volume is negative, so (0,3) interval is not the domain.

In interval (3,\infty), width and volume is negative, so (3,\infty) interval is not the domain.

Therefore the correct option is D.

3 0
1 year ago
Read 2 more answers
At Monroe High School, 62% of all students participate in after school sports and 11% participate in both after school sports an
dimaraw [331]
Hey there!

Before you start solving anything, you need to identify which situation you want to call event A and which you want to call event B. I usually just do it in the order of the events as they're given to me in the question, so:

A = S<span>tudent participates in student council
B = S</span><span>tudent participates in after school sports

Any problems that contain the word "given" in the question portion will want you to refer to </span>P(A | B)<span> = P(</span>A ∩ B)/P(B). P(A | B) literally means "probability of event A, given that event B has occurred." P(A ∩ B) is the probability of event A and B happening, and P(B) is just the probability of event B happening. We've been given all of that, so:

P(A | B) = P(A ∩ B)/P(B)
P(A | B) = 11% / 62%
P(A | B) = 0.11 / 0.62
P(A | B) = 0.18

There will be about an 18% chance that <span>a student participates in student council, given that the student participates in after school sports. 

Hope this helped you out! :-)</span>
4 0
1 year ago
Read 2 more answers
Kimberly is considering buying her first home. The house she is interested in buying is priced at $159,000. Kimberly qualifies f
lbvjy [14]
829.00    I just used a mortgage calculator 
8 0
1 year ago
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Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?
Ber [7]
So first you have to find the perfect square that matches up with x^2 + 6x

so half of 6, and square it. your perfect square is 9

x^2 + 6x + 9 = 7 + 9

then, condense the left side of the equation into a squared binomial:

(x + 3)^2 = 16

take the square root of both sides:

x + 3 = ± √16

therefore:

x + 3 = ± 4

x = - 3 ± 4

so your solution set is:

x = 1, -7
7 0
1 year ago
Read 2 more answers
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