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Lady bird [3.3K]
3 years ago
7

Justin ran 5.5 miles in 49.5 minutes. On average, how many minutes did it

Mathematics
1 answer:
olchik [2.2K]3 years ago
8 0
49.5/ 5.5
= 9 minutes to run one mile
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Grapes cost $2.70 per pound. You buy 2.5 pounds of grapes and give the cashier $10. How much change do you receive​
allochka39001 [22]

Answer:

$3.25

Step-by-step explanation:

The grapes costs $2.70 per pound but you're buying 2.5 pounds so take $2.70 x 2.5 = $6.75. Now u just take $10 - $6.75 which equals $3.25 and thats ur answer.

8 0
2 years ago
Read 2 more answers
Sarah would like to make a 6 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of a mixture that is 80%
ivolga24 [154]

Answer:  

<em>a.  The system of equations that models the situation is....</em>

<em>     0.80x+0.50y=3.60\\\\ 0.20x+0.50y=2.40</em>

<em>b.  The solution to the system:  x = 2 and y = 4 </em>

<em>The amount of 80/20 mixture is 2 pounds and the amount of 50/50              mixture is 4 pounds.</em>

Step-by-step explanation:

Suppose, the amount of 80/20 mixture is  x pounds and the amount of 50/50 mixture is  y pounds.

So, the amount of peanuts in 80/20 mixture = 0.80x pound and the amount of almonds in 80/20 mixture =0.20x pound.

And the amount of peanuts in 50/50 mixture =0.50y pound and the amount of almonds in 50/50 mixture =0.50y pound.

Now, Sarah would like to make a 6 pounds nut mixture that is 60% peanuts and 40% almonds.

So, the amount of peanuts in that mixture =(6\times 0.60)=3.60 pounds

and the amount of almonds in that mixture =(6 \times 0.40)= 2.40 pounds.

So, the system of equations will be.........

0.80x+0.50y=3.60 ...................(1)\\\\ 0.20x+0.50y=2.40...................(2)

Subtracting equation (2) from equation (1), we will get.....

(0.80x+0.50y)-(0.20x+0.50y)=3.60-2.40\\ \\ 0.60x=1.20\\ \\ x= \frac{1.20}{0.60}=2

Now, plugging this x=2 into equation (1), we will get......

0.80(2)+0.50y=3.60\\ \\ 1.60+0.50y=3.60\\ \\ 0.50y=3.60-1.60=2\\ \\ y=\frac{2}{0.50}=4

So, the amount of 80/20 mixture is 2 pounds and the amount of 50/50 mixture is 4 pounds.

7 0
3 years ago
Find the solution Y=-3x-5 y=9x+7 and show on graph
slava [35]

Answer:

(-1, -2)

Explanation:

5 0
2 years ago
I need fast help with step by step<br> <img src="https://tex.z-dn.net/?f=%5Cint%5Climits%5E2_1%20%7B%5Cfrac%7B3x-1%7D%7Bx%2B1%7D
Ganezh [65]

Answer:

1.38 to the nearest hundredth.

Step-by-step explanation:

Dividing:

x + 1 ) 3x - 1 ( 3            

          3x + 3

                -4

so (3x - 1) / (x + 1) =  3  - 4 / x+ 1

Integral  of (3  - 4 / x+1 )  = 3x - 4 ln(x + 1)

Between  limits of 1 and 2 we have:

(3(2) - 4 ln 3) - (3 - 4 ln2)

=  1.6056 - 0.2274

= 1.3782.

5 0
3 years ago
Naiomis fish is 40 mm long her guinea pigis 25cm long
dimaraw [331]

Answer:

1,000

Step-by-step explanation:

If your asking for the area you multiply 40 times 25

6 0
3 years ago
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