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Inessa [10]
3 years ago
12

On call= 3.5 hours:$10 Talk Time= 1/2 hour: $1.25

Mathematics
1 answer:
stiks02 [169]3 years ago
6 0
On call = 3.5 hours for 10 dollars => ½ hour for 1.25 dollars. Now, let’s solve the unit rate for each company first = 3.5 hour / 10 dollars => 10 / 3.5 => Unit rate is 2.9 dollars/hr Second company = ½ hour for 1.25 dollars => 1.25 / .5 => 0.25 dollars / hr. Thus, the first company pays better than the second one because it pays 2.9 dollars every hour of talk compare to the 2nd one which pays only 0.25 dollars per hr.

Hope that helps =3
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Kevin and Randy Muise have a jar containing 32 ​coins, all of which are either quarters or nickels. The total value of the coins
givi [52]

Answer:

19 quarters and 13 nickles

Step-by-step explanation:

You have 32 coins in your pocket consisting of nickels and quarters with a total value of $5.40

How many nickels and quarters do you have?

Step 1: Setup Coin Value and Coin Total Equation:

Coin Value Equation → 0.05n + 0.25q = $5.40 where n = nickels and q = quarters

Coin Total Equation → n + q = 32

Step 2: Rearrange Coin Total Equation in terms of nickels (n)

n = 32 - q ← Revised Coin Total Equation

Step 3: Plug in our Revised Coin Total Equation for n into our Coin Value Equation:

0.05(32 - q) + 0.25q = $5.40

0.05(32) - 0.05(q) + 0.25q = $5.40

1.6 - 0.05q + 0.25q = $5.40

1.6 + (0.25 - 0.05)q = $5.40

1.6 + 0.2q = $5.40

Step 4: Subtract 1.6 from each side of the equation to isolate q

1.6 - 1.6 + 0.2q = $5.40 - 1.6

0.2q = 3.8

Step 5: Divide each side of the equation by 0.2 to isolate q

0.2q

0.2

=

3.8

0.2

q = 19

Step 6: Using our value for q, Solve for n using our Coin Total Equation:

n + 19 = 32

Subtracting 19 from both sides, we get n + 19 - 19 = 32 - 19

n = 13

Summarizing our word problem, we see that 19 quarters and 13 nickels adds up to $5.40

8 0
2 years ago
Which set of ordered pairs does Not represent a function
LenKa [72]

Answer:

Step-by-step explanation:

The second set. It contains (2,2) and (2,7), so it fails the vertical-line test.

8 0
2 years ago
A principal of $835 is invested in an account at 4% per quarter simple interest which of the following sequences describes the d
netineya [11]
To solve the question we use the compound interest formula which is given by:
A=p(1+r)^(nt)
where:
A=future value
p=principle
r=rate
n=number of terms
t=time
thus plugging in the values in the formula we shall have:
A=835(1+0.04)^(4t)
simplifying this we get the sequence:
A=835(1.040)^(4t)
Thus the answer to the sequence will be:
A=835(1.040)^(4t)

7 0
2 years ago
What is the value of x?
frez [133]

\left\{\begin{array}{ccc}x+2y=4&\text{multiply both sides by 5}\\4x-5y=42&\text{multiply both sides by 2}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}5x+10y=20\\8x-10y=84\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad13x=104\qquad\text{divide both sides by 13}\\\\\boxed{x=8}\\\\Answer:\ \boxed{\boxed{x=8}}

5 0
2 years ago
Simplify the following expression. show your work.<br> (-y + 5.3) + (7.2y - 9)
Kitty [74]

Answer:

6.2y - 3.7

Step-by-step explanation:

−y+5.3+7.2y−9

Subtract 9 from 5.3 to get −3.7.

−y−3.7+7.2y

Combine −y and 7.2y to get 6.2y.

6.2y−3.7

6 0
2 years ago
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