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loris [4]
3 years ago
8

Every evening jenna empties her pockets and puts her change in a jar .at the end of the week she counts her money . one week she

had 50 coins, all of them dimes and quarters.when she added them up, she had a total of 10.25
Mathematics
1 answer:
Bad White [126]3 years ago
6 0
There are 35 quarters and 15 dimes.
Systems of Equations:
q+d=50
.25q+.10d=10.25
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Does dose anyone know how to solve this?
solniwko [45]

Answer:

Width of rectangle = 6 m

Length of rectangle = 11 m

Step-by-step explanation:

Let width of rectangle = w

Length of rectangle = 3w-7

Area of rectangle = 66 m²

We need to find length and width of rectangle

The formula used is: Area=Length \times Width

Putting values and finding w

Area=Length \times Width\\66=(3w-7)(w)\\66=3w^2-7w\\3w^2-7w-66=0\\

Solve using quadratic formula: w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

We have a=3, b=-7, c=-66

Putting values and finding w

w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\w=\frac{-(-7)\pm\sqrt{(7)^2-4(3)(-66)}}{2(3)}\\w=\frac{7\pm\sqrt{49+792}}{6}\\w=\frac{7\pm\sqrt{841}}{6}\\w=\frac{7\pm29}{6}\\w=\frac{7+29}{6}\:,\:w=\frac{7-29}{6}\\w=6, w=-3.6

We get values of w as w=6 and w=-3.6

As we know width cannot be negative, so considering w = 6

So, Width = 6

Length = 3w-7 = 3(6)-7 = 18-7 = 11

So, Width of rectangle = 6 m

Length of rectangle = 11 m

6 0
3 years ago
Can’t figure out M&lt;7/12<br><br> The options are <br> A.1<br> B.-1<br> C.-9<br> D.-5
sladkih [1.3K]

M < 7 / 12

(1) < 7 / 12

(1) < 0.583333333 (false statement)

(-1) < 7 / 12

(-1) < 0.583333333 (true statement)

(-9) < 7 / 12

(-9) < 0.583333333 (true statement)

(-5) < 7 / 12

(-5) < 0.583333333 (true statement)

B C D maybe?

8 0
3 years ago
A car dealership pays a wholesale price of $20,000 to purchase a vehicle. The car dealership wants to make a 32% profit. By ho
EleoNora [17]
The total price of the car will be 26,400
6 0
3 years ago
At a math competition 2 students can answer 40 questions in 1 hour. At the same rate, how many questions could 5 students answer
const2013 [10]

Answer:

25 questions

Step-by-step explanation:

At a math competition 2 students can answer 40 questions in 1 hour.

Therefore, 1 student can answer in 1 hour =  \frac{40}{2}

                                                                     = 20 questions

5 students can answer in 1 hour = 20 × 5 = 100 questions

60 minutes = 1 hour

15 minutes =  \frac{15}{60} = 0.25 hours

5 students can answer in 0.25 hours = 100 × 0.25

                                                              = 25 questions

5 students could answer 25 questions in 15 minutes.

6 0
3 years ago
What is the additive inverse of -5
liraira [26]

Answer:

You should be thinking about a negative number. In fact, you should be thinking about a number that is the opposite of 5! -5! So, the additive inverse of 5 is -5

Step-by-step explanation:

4 0
3 years ago
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