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ololo11 [35]
3 years ago
6

ms. Rao buys a computer, a printer, and a scanner for $2543. the computer cost $1502 more than the printer. the printer costs $1

23 more than that scanner. how much does Ms. Rao pay for computer?
Mathematics
1 answer:
Mazyrski [523]3 years ago
6 0
This question involves a system of equations.

for the variables we will use c for computer, p for printer, and s for scanner.

in order to solve a system of equations, we need to solve one variable, so we will just pick c because we are solving for the computer.

when we set up the
equation, we need to convert all the variables into an applicable form of c, since that is the variable we are solving for. we can do this because we have information on how the other variables differ on c.

so we get these translations:

c = c
p = c - 1502
s = p - 123

however, the scanner is not translated to c yet, it is translated into p, but we know p can translate into c, so we plug in the equation for p as so:

s = (c - 1502) - 123

which translates to

s = c - 1625

now we have

c = c
p = c - 1502
s = c - 1625

now that we have the translations, we have to use the original equation given to us which is

c + p + s = 2543

which, with our translations can be said as

c + (c - 1502) + (c - 1625) = 2543

which simplifies to

3c - 3127 = 2543.

now, we add 3127 to both sides to get

3c = 5670

then, we divide 3 to both sides to get

c = 1890

so the computer costs 1890.

if you want to find the price for the printer and scanner, simply take c and plug it in to the other equations as so.

p = 1890 - 1502 (388)
s = 1890 - 1625 (265)

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The ratio of dogs to cats in a shelter is 9:15.if the total number of cats and dogs is 96.how many dogs are there?
ch4aika [34]

There are 36 dogs in the shelter.

<h3>How to find the total number of dogs in the shelter?</h3>

The ratio of dogs to cats in the shelter is given as 9:15.

The total number of dogs and cats is given as 96.

Let the constant of proportionality be x.

The total number of dogs is 9x and the total number of cats is 15x.

This means that:

9x + 15x = 96

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x = 4.

The total number of dogs in the shelter = 9 × 4

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2 years ago
Branden and Pete both play running back. Branden carries the ball 75 times for 550 yards and Pete had 42 carries for 380 yards w
mars1129 [50]

Answer:

Pete runs farther per carry.

Step-by-step explanation:

Given:

Branden and Pete both play running back.

Branden carries the ball 75 times for 550 yards.

Pete had 42 carries for 380 yards

Question asked:

Who runs farther per carry ?

Solution:

First of all we find each boy's distance covered per carry:-

<u>For Branden</u>

Branden carries the ball 75 times for = 550 yards.

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<u>For Pete </u>

Pete carries 42 times for = 380 yards

Pete carries 1 time for = \frac{380}{42} =9.05\ yards

As Pete runs 9.05 yards for 1 carry while Branden runs 7.34 yards for 1 carry, hence Pete runs farther per carry.

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Answer:

The graph is constant in the interval [4,6]

Step-by-step explanation:

We are given that,

Taylor dropped a rubber ball from a height of 8 feet.

So, at time t= 0 sec, the ball is being thrown.

Now, the next events follows as below:

1. After a second, the ball hits the ground.

2. It bounces up to 5 feet in the next second.

3. The ball again hits the ground in the next second.

4. Now, the ball again jumps up to height 2.5 feet, when Taylor holds the ball for 2 seconds more.

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3 years ago
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