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3 years ago

Write an equation for each problem. Then solve.

Mathematics

1 answer:

Nana76 [90]3 years ago

4 0

Answer:

The price is the same at both stores for 2 prints.

Step-by-step explanation:

Equations

Let's set the variable

x = number of photo prints

Company Photo Plus charges $2 for each print and $6 for a processing fee, thus the total charges are:

PP = 6 + 2x

Company Picture Time charges $3 for each print and $4 for a processing fee, thus it charges a total of:

PT = 4 + 3x

It's required to find the number of prints that make both stores charge the same. Equating both functions:

6 + 2x = 4 + 3x

Subtracting 2x and 4:

x = 2

The price is the same at both stores for 2 prints.

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If Tina traveled 2,000 miles in 5 hours on her plane flight to her vacation destination, how fast was the plane traveling?

IRINA_888 [86]

Answer:

400 miles per hour

Step-by-step explanation:

2.000 miles : 5 hours =400 miles per hour

have a nice day :)

6 0

3 years ago

Simplify PLEASE HELP

Dmitrij [34]

$\dfrac 34(5a-16) - \dfrac 13(6a-3)\\\\=\dfrac{15a}4 - \dfrac{48}4 - 2a + 1\\\\=\dfrac{15a}4 -12-2a+1\\\\=\dfrac{15a}4 -2a -11\\\\=\dfrac{15a-8a-44}{4}\\\\=\dfrac{7a-44}4$

4 0

2 years ago

Read 2 more answers

14. Given: 5x + 4y = 24, x + 7y= 11; Prove: y= 1 Statements reasons

Semenov [28]

Answer:

Step-by-step explanation:

We can use the process of elimination as

5x + 4y = 24

5(x + 7y = 11) —> 5x + 35y = 55

5x + 4y = 24

-(5x + 35y = 55)

—————————

-31y = -31

-31y/-31 = -31/-31

y=1

4 0

4 years ago

Of the last 20 balloons sold at a party store, 5 were pink. Considering this data, how many of the next 12 balloons sold would y

marusya05 [52]

Answer: 3 balloons

Step-by-step explanation:

The ratio would be pink balloons to total balloons (aka pink/total), so 5 to 20 (aka 5/20). This simplifies to 1/4. If the new total is 12, and x represents pin balloons, then you can do 1/4=x/12. By cross multiplying, you get 12=4x. Divide both sides by 4 and x would equal 3. Therefore, the party store should expect to sell 3 pink balloons.

7 0

4 years ago

A 12-foot ladder leans against the wall; the base of the ladder is 2 feet away from the wall.To the nearest tenth of a foot, how

ludmilkaskok [199]

<h3>The ladder will reach a height of 11.8 feet up the wall</h3>

Solution:

The ladder, wall and base of the ladder from wall forms a right angled triangle

Length of ladder forms the hypotenuse

Length of ladder = 12 foot

base of the ladder from wall = 2 feet

To find: height of wall

By pythagoras theorem.

$c^2 = a^2+b^2$

Where,

"c" is the Length of ladder

"a" is the base of the ladder from wall

"b" is the height of wall

Substituting the values,

$12^2 = 2^2+b^2\\\\144 = 4 + b^2\\\\b^2 = 140\\\\b = \pm 11.832 \\\\Ignore\ negative\ value\\\\b \approx 11.8$

Thus, the ladder will reach a height of 11.8 feet on wall

4 0

3 years ago