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Ilia_Sergeevich [38]

3 years ago

14

A man has 12 coins in his pocket, all of which are dimes and quarters. If the total value of his change is $2.70, how many dimes

and how many quarters does he have?

2 answers:

enot [183]3 years ago

4 0

He has 10 quarters and 2 dimes.

Artist 52 [7]3 years ago

3 0

8 quarters and 7 dimes

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6 points are placed on the line a , 4 points are placed on the line b . How many triangles is it possible to form such that thei

BaLLatris [955]

Answer:

96

Step-by-step explanation:

Using side b as the base, 4 points makes 3 bases (the space in between). With three bases, you can have 3 bases of 1 segment, 2 bases of 2 segments, and 1 base of 3 segments. This equals 6 bases. Each of these can connect to a point on line a. 6x6=36

Using side a as the base, 6 points makes 5 bases. With 5 bases, you can have 5 bases of 1 segment, 4 bases of 2 segments, 3 bases of 3 segments, 2 bases of 4 segments, and 1 base of 5 segments. This equals 15 bases. Each of these can connect to a point on line b. 15x4=60

36+60=96

5 0

2 years ago

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Simplify the expression (2^3)^-2

snow_lady [41]

1/64

2^3 = 8

8^-2 = 1/64

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2 years ago

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What is the volume of the cylinder below? Use 3.14 for x and round to the nearest tenth.

sdas [7]

The last one 1,459.3

8 0

2 years ago

One month Ravi rented4 movies and8video games for a total of $57 The next month he rented2 movies and3 video games for a total o

e-lub [12.9K]

SOLUTION

Given the question in the question tab, the following are the solution steps to get the rental cost for each movie and each video game.

Step 1: Write the representation for the two rentals

Let m represents movies

Let v represent video games

Step 2: Write the statements in form of a mathematical equation

$\begin{gathered} \text{Month 1: }4m+8v=57 \\ \text{Month 2: }2m+3v=23 \end{gathered}$

Step 3: Solve the equations above simultaneously using elimination method to get the values of m and v

$\begin{gathered} 4m+8v=57----(1) \\ 2m+3v=23----(2) \\ \text{ multiply equation 1 by 2 and equation 2 by }4 \\ 8m+16v=114----(3) \\ 8m+12v=92----(4) \\ \text{subtract equation (4) from equation (3)} \\ 4v=22 \\ v=\frac{22}{4}=5.5 \\ \text{Substitute 5.5 for v in equation 1 to get the value of m} \\ 4m+8v=57 \\ 4m+8(5.5)=57 \\ 4m+44=57 \\ 4m=57-44=13 \\ m=\frac{13}{4}=3.25 \\ m=\text{\$}3.25,v=\text{\$}5.50 \end{gathered}$

Rental cost for each movies is $3.25

Rental cost for each video games $5.50

8 0

1 year ago

marie made a model (shown below) of the square pyramid she plans to build when she grows up. Find the surface area of the model.

Vladimir [108]

Answer:

55

Step-by-step explanation:

8 0

2 years ago