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babymother [125]
3 years ago
10

The scale on a map 1/4 in.=10 mi. How many miles apart are two towns that are 3 in. Apart on the map ?

Mathematics
1 answer:
Viefleur [7K]3 years ago
8 0
About 9 and a half a mile
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Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Liam bought 2 hamburgers and 4 orders of fries for $13. How much
Nina [5.8K]

The cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.

<h3>What is system of equation?</h3>

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Let the cost of 1 hamburger is x dollar and 2 orders of fries is y dollars. Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Thus,

3x+2y=12.5

Solve this equation as,

2y=12.5-3x\\y=\dfrac{12.5-3x}{2}                        .....1

Liam bought 2 hamburgers and 4 orders of fries for $13. Thus,

2x+4y=13

Put the value of y in this equation and solve it further,

2x+4(\dfrac{12.5-3x}{2})=13\\2x+25-6x=13\\-4x=13-25\\-4x=12\\x=\dfrac{12}{4}\\x=3

Put this value of x in equation 1,

y=\dfrac{12.5-3\times3}{2}\\y=\dfrac{3.5}{2}\\y=1.75

The cost of an order of 1 hamburger and 2 orders of fries is,

C=3\times 1+2\times1.75\\C=3+3.5\\C=6.5

Thus, the cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.

Learn more about the system of equations here;

brainly.com/question/13729904

#SPJ1

3 0
2 years ago
Janeen used 16 pieces of fruit to make her salad. If 1/4 of the fruits were peaches, how many peaches did she use? Make a drawin
RSB [31]
4 pieces of peach
16÷4=4
3 0
4 years ago
Read 2 more answers
A line parallel to y=5x+2
anygoal [31]
The equation would be y=-1/5x+2
The slope is always switched to make a line parallel to the first equation
4 0
3 years ago
Read 2 more answers
B is the midpoint of AC. What is the length of AB? AB is 9x+7 and BC is -3x+20
ahrayia [7]
<h3>Answer:</h3>

AB = \frac{67}{4}\\

<h3>Step-by-step explanation:</h3>

If B is the midpoint of \overline{AC} then AB is just half of AC and also, BC is just half of AC. This means that AB must be equal to BC. Essentially, 9x +7 = -3x +20 and we can solve for the of x from that equation.

9x +7 = -3x +20 \\ 9x +7 +3x = -3x +20 +3x \\ 12x +7 = 20 \\ 12x +7 -7 = 20 -7 \\ 12x = 13 \\ \frac{12x}{12} = \frac{13}{12} \\ x = \frac{13}{12}

Now we can solve for AB

AB = 9(\frac{13}{12}) +7 \\ AB = 3(\frac{13}{4}) +7 \\ AB = \frac{39}{4} +7 \\ AB = \frac{39}{4} +\frac{28}{4} \\ AB = \frac{67}{4}

8 0
3 years ago
Jon Hall purchased a new CD player on an installment loan. The CD player was $250.00. He agreed to pay $25 a month for 12 months
garri49 [273]

Answer:

$50

Step-by-step explanation:

I got this bc 25*12=300 and 300-250=50

3 0
3 years ago
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