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Masja [62]
3 years ago
11

Hannah is deciding between two truck rental companies. Company A charges an initial fee of $30 for the rental plus $2 per mile d

riven. Company B charges an initial fee of $100 for the rental plus $1 per mile driven. Let AA represent the amount Company A would charge if Hannah drives xx miles, and let BB represent the amount Company B would charge if Hannah drives xx miles. Write an equation for each situation, in terms of x,x, and determine the interval of miles driven, x,x, for which Company A is cheaper than Company B.
Mathematics
1 answer:
Degger [83]3 years ago
5 0

Answer:

Hannah is deciding between two truck rental companies. Company A charges an initial fee of $30 for the rental plus $2 per mile driven. Company B charges an initial fee of $100 for the rental plus $1 per mile driven. Let AA represent the amount Company A would charge if Hannah drives xx miles, and let BB represent the amount Company B would charge if Hannah drives xx miles. Write an equation for each situation, in terms of x,x, and determine the interval of miles driven, x,x, for which Company A is cheaper than Company B.

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Andrea enjoys running. She keeps a daily journal to record how far she runs. She wears a pedometer to calculate the exact distan
Neko [114]

Answer:

14.225 kilometers.

Step-by-step explanation:

Monday 3.6

Tuesday 4.705

Wednesday 5.92

By using the addition operation, the  total distance, in kilometers, that Andrea ran over the three days will be :

3.6 +4.705 +5.92=14.225

Hence, the total distance that Andrea ran over the three days = 14.225 kilometers.

5 0
3 years ago
Please can I have an explanation also, I am terrible at these kinds of questions!
wlad13 [49]

Answer:

<em>The fraction of the beads that are red is</em>

Step-by-step explanation:

<u>Algebraic Expressions</u>

A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:

r:y = 2:3

y:b = 5:4

We are required to find r:s, where s is the total of beads in the bag, or

s = r + y + b

Thus, we need to calculate:

\displaystyle \frac{r}{r+y+b}       \qquad\qquad    [1]

Knowing that:

\displaystyle \frac{r}{y}=\frac{2}{3}      \qquad\qquad    [2]

\displaystyle \frac{y}{b}=\frac{5}{4}

Multiplying the equations above:

\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}

Simplifying:

\displaystyle \frac{r}{b}=\frac{5}{6}       \qquad\qquad    [3]

Dividing [1] by r:

\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}

Substituting from [2] and [3]:

\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}

Operating:

\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}

\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}

\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}

The fraction of the beads that are red is \mathbf{\frac{10}{37}}

8 0
3 years ago
I need to know number 5 just what it says thank you
Stels [109]

Answer:

C

Step-by-step explanation:

Okay! Time to use the Pythagoras theorem.

a^2 + b^2 = c^2

4^2 + 7^2 = x^2

16 + 49 = c^2

65 = c^2

Let's take the square root of both sides to get

c ~ 8.06

C

:)

5 0
3 years ago
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Ben is making math manipulatives to sell. He wants to make at least $450. Each manipulative costs $18 to make. He is selling the
lys-0071 [83]
7 is the answer because 7 is great and is always the answer

6 0
3 years ago
Can anyone help me with this one question??
AnnyKZ [126]
The correct answer is 14yds
7 0
3 years ago
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