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Novosadov [1.4K]
2 years ago
6

Lucy is going to walk in a fundraising event to raise money for her school band. Her mother has agreed to donate $7.50 to the sc

hool for each mile that Lucy walks, plus an additional $25. If Lucy wants to make at least $85.00 from her mother’s donation, how far will she have to walk? Show your work.
Mathematics
1 answer:
makkiz [27]2 years ago
4 0

Answer:

8 miles

Step-by-step explanation:

let x= miles she walks

7.50x+25=85

subtract 25 from both

7.50x=60

divide both by 7.50

x=8

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Alexis bakes 90 identical pizzas. Each pizza is cut either into 8 small slices or 6 large slices. There are 5 small slices for f
Citrus2011 [14]

Answer:

  50

Step-by-step explanation:

Let x represent the number of pizzas cut into small slices. Then the ratio of small to large slices is ...

  \dfrac{8x}{6(90-x)}=\dfrac{5}{3}\\\\8x=10(90-x)\quad\text{multiply by $6(90-x)$}\\\\18x=900\quad\text{add $10x$}\\\\x=50\quad\text{divide by 18}

50 of the 90 pizzas were cut into small slices.

_____

<em>Check</em>

The 50 pizzas cut into 8 small slices each results in 400 small slices. The 40 pizzas cut into 6 large slices each results in 240 large slices. The ratio of small slices to large slices is 400 : 240 = 5 : 3.

3 0
2 years ago
In a raffle, the winners of the first and second prizes each receive one ticket to an upcoming concert. You and a friend each bu
trasher [3.6K]
61 is the answer I think
5 0
2 years ago
Marcy is concerned that her findings may be due to an extraneous uncontrolled variable and not her treatment. Marcy is most conc
Westkost [7]

Answer:

c

Step-by-step explanation:

because it's her extraneous uncontrolled variable

4 0
2 years ago
At a store, apples cost $0.80 $0.80 each and oranges cost $0.95 $0.95 each. Harry buys some apples and oranges and spends $9.55
gregori [183]

Answer:

Harry buys 6 apples and 5 oranges at the store.

Step-by-step explanation:

Given:

Cost of each apples = $0.8

Cost of each oranges = $0.95

Total money spend =$9.55

Number of fruits bought= 11

We need to find the number of apples bought and number of oranges were bought.

Solution:

Let the number of apples bought be 'a'.

Let the number of oranges were bought be 'o'.

Number of fruits bought= 11

So we can say that;

Number of fruits bought is equal to sum number of apples bought and number of oranges were bought.

framing in equation form we get;

a+o=11 ⇒ equation 1

Now we can say that;

Total money spend is equal to number of apples bought multiplied by Cost of each apples plus number of oranges were bought multiplied by Cost of each oranges.

framing in equation form we get;

0.8a+0.95o=9.55 ⇒ equation 2

Now Multiplying equation 1 by 0.8 we get;

0.8(a+o)=0.8\times11

0.8a+0.8o=8.8 ⇒ equation 3

Subtracting equation 3 from equation 2 we get;

0.8a+0.95o-(0.8a+0.8o)=9.55-8.8\\\\0.8a+0.95o-0.8a-0.8o=0.75\\\\0.15o=0.75

Dividing both side by 0.15 we get;

\frac{0.15o}{0.15}=\frac{0.75}{0.15}\\\\o=5

Substituting the value of o in equation 1 we get;

a+o=11\\\\a+5=11\\\\a=11-5=6

Hence Harry buys 6 apples and 5 oranges at the store.

3 0
2 years ago
The price of a game that’s been discounted 18% OFF ITS list price (x)
marta [7]
First you convert the percentage into a decimal. 18% to 0.18, then you multiply that decimal to the price of the item being discounted and bam, you have your price.
7 0
2 years ago
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