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valentina_108 [34]
3 years ago
15

A rental truck costs $96 per day plus $0.60 per each mile. If Calvin can spend a maximum of $120, how many miles can he drive th

e rental truck?
Mathematics
1 answer:
Vilka [71]3 years ago
6 0

Cost of renting a truck for one day = $96

Money Calvin can spend = $120

Money left with Calvin after he spends on the daily rent :

= \tt120 - 96

= \tt\$ 24

Cost charged per mile = 0.60

Number of miles he can drive the rental truck :

=\tt 24 \div 0.60

= \color{plum}\tt40 \:  \: miles

Thus, number of miles he can run the truck = 40 miles

Therefore, Calvin can run the truck for 40 miles after he pays the daily fee.

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How many solutions does the system have? Y=-2x-4 y=3x+3
Fudgin [204]

Answer:

1

Step-by-step explanation:

Since they are not parallel nor the same line, they have 1 intersecting point, which is the solution.

If they were parallel, they would have no solution.

If they were the same line, they would have infinite solutions.

5 0
4 years ago
Find each quotient. Write in simplest form. keep answer as fraction - not decimal
kirill [66]

So we are given the expression:

\frac{mn^{2}}{4} ÷ \frac{m^{2}n}{8}

When we divide fractions, we must flip the second term and change the sign to multiplication:

\frac{mn^{2}}{4} *\frac{8}{m^{2}n}

And then we multiply across:

\frac{mn^{2}}{4} *\frac{8}{m^{2}n}= \frac{8mn^{2}}{4m^{2}n}

Then we can break apart all of the like variables for simplification:

\frac{8mn^{2}}{4m^{2}n}=\frac{8}{4} * \frac{m}{m^{2}} *\frac{n^{2}}{n}

When we simplify variables through division, we subtract the exponent of the numerator from the exponent of the denominator. So we then have:

\frac{8}{4} =2

\frac{m}{m^{2}}=m^{-1} =\frac{1}{m}

\frac{n^{2}}{n}=n^{1}=\frac{n}{1}

So then we multiply all of these simplified parts together:

\frac{2}{1}*\frac{1}{m}*\frac{n}{1}   =\frac{2n}{m}

So now we know that the simplified form of the initial expression is: \frac{2n}{m}.

3 0
3 years ago
Clare went to a concession stand that sells pretzels for $3.25, drinks for $1.85, and bags of popcorn for $0.99 each. She bought
djyliett [7]

Answer:

No.

Step-by-step explanation:

Price of each pretzel = $3.25

Price of each drink = $1.85

Price of each bag of popcorn = $0.99

Maximum money to be spent = $10

Price of two pretzels = $3.25 \times 2 = $6.5

Price of two drink = $1.85 \times 2 = $3.70

Price of two bags of popcorn = $0.99 \times 2 = $1.98

Total money spent for buying two items of each type = $6.5 + $3.70 + $1.98 = $12.18

The money spent when 2 pretzels, 2 drinks and 2 bags of popcorn are bought is $12.18.

But maximum money available is $10.

Therefore, Clare would not be able to buy 2 pretzels, 2 drinks and 2 bags of popcorn with the amount of money available.

7 0
3 years ago
HELP! What is the radius and diameter of this circle?
dem82 [27]

Answer:

Step-by-step explanation:

the diameter is the measurement that is all the way across the circle which is given to you so the diameter is 7cm. To find the radius it is half the way across the circle so it is half the diameter so in this case the radius would be 3.5cm

8 0
3 years ago
hi, i hope everyone is taking care, staying safe, and always smiling. could you help me? it is maths, brainliest will be given
prisoha [69]

Answer:

210 cm³

Step-by-step explanation:

The area of the triangular side is base*half height, which is 7*3=21.

To get the volume, multiply by the depth: 21*10 = 210 cm³

8 0
3 years ago
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