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leva [86]
3 years ago
13

Rina is making a nut mixture to sell at the local farmers' market. She mixes 6 pounds of pecans with a nut mixture that is 70% p

ecans. The resultuing mixture is 82% pecans. How many pounds of nut mixture does Rina make?
Mathematics
1 answer:
Marat540 [252]3 years ago
7 0
So the best way to do these is concentration1 (%) × volume1 = concentration2 × volume2
Or C1V1 + C2V2 = C3V3, where C1 = 100% (bc ALL pecans), V1 = 6 lbs, C2 = 70%, C3 = 82%:
100%×6 + 70%×v2 = 82%×(6+v2)
100%=1.00, 70%=.7, 82%=.82
note: if none is poured out then v3 = v1+v2
6 + .7v2 = .82 (6+v2)
6 + .7v2 = 4.92 + .82v2
6 + .7v2 -.7v2 = 4.92 + .82v2 -.7v2
6 = 4.92 + .12v2
6-4.92 = 4.92-4.92 + .12v2
1.08 = .12v2
.12v2/.12 = 1.08/.12
v2 = 9 lbs
that's only v2!!!

For the final poundage, we need v3:

v3 = 6 + v2 = 6 + 9 = 15 lbs
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A car rental agency Advertise renting a car for $24.95 per day and $.33 per mile is Kevin rent the car for today how many whole
pychu [463]

Answer:

Kevin can drive 681 miles.

Step-by-step explanation:

In order to find the amount that he can drive in one day and only pay $250, we have to write an equation for the cost. Using x as the miles he drive, we can express the equation as:

y = .33x + 24.95

Now, we can plug in 250 for y.

250 = .33x + 24.95

225.05 = .33x

681.97 = x

Since we are looking for only whole miles, we have to round down to 681.

6 0
3 years ago
Lines L and M are parallel. Lines t^1 and t^2 are transversals. What is m<1 if m<4=65*? Justify your answer. (Ps- there is
Diano4ka-milaya [45]
The complete question in the attached figure

we know that
m∡4=65°
m∡4=m∡2---------> by internal alternate angles
m∡5=m∡3---------> by internal alternate angles

m∡1=180°-m∡2---------> 180°-65°--------> m∡1=115°

the answer is 
m∡1=115°

3 0
3 years ago
A plot of land is represented on a map whose scale is 1:10000.On the map perimeter of the plot is 24.8cm.Calculate,in km ,the ac
sveta [45]

Answer:

24.8 km

Step-by-step explanation

To do this we would just multiply 24.8 by 10,000 which is 248000 and if we divide that by 10000 (to get km) we would get 24.8km

6 0
4 years ago
Please answer it now in two minutes
nata0808 [166]

Answer:

C = 28.9

Step-by-step explanation:

Given the right angled triangle, ∆BCD, you are required to find the measure of angle C.

Apply the trigonometric ratio formula to find m < C.

Adjacent side = 7

Hypotenuse = 8

Trigonometric ratio formula to apply would be:

cos(C) = \frac{7}{8}

cos(C) = 0.875

C = cos^{-1}(0.875)

C = 28.9

(To nearest tenth)

6 0
3 years ago
The slope of the line that passes through the points (-10,y) and (5, 2) is 2/5. What is the value of y?
Murrr4er [49]

Answer:

C, -4

Step-by-step explanation:

slope=change in y/change in x

\frac{2 - y}{5 - ( - 10)}  =  \frac{2}{5}

\frac{2 - y}{5  + 10}  =  \frac{2}{5}

multiply both sides by 2/5

2 - y =  \frac{2}{5} (5 + 10)

simplify the right side. 2/5 × 5 = 2 and 2/5 × 10 = 4

2 - y = 2 + 4

2 - y = 6

bring y to the other side by adding y on both sides

2 = 6 + y

subtract 6 on both sides

2 - 6 = y

so y is -4

7 0
2 years ago
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