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grandymaker [24]
3 years ago
14

A fruit shop sells dried fruit by the pound. The cost for x pounds of raisins is represented by the equation y=3.5x, where y is

the total cost for x pounds. The cost for 4 pounds of dried cranberries is $18. Which fruit has the lowest unit rate?
Mathematics
1 answer:
DanielleElmas [232]3 years ago
5 0
Raisins has the lowest unit rate, which is 3.5x. Cranberries unit rate is 4.5 (18/4).

Please vote my answer brainliest. thanks!
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Your mom's new car gets 32 miles per gallon and gasoline costs $1.99 per gallon. You are going to see Uncle buck for Christmas,
Mashcka [7]

The gas cost will be $19.53 for this trip.

Step-by-step explanation:

Given,

Distance covered by car per gallon = 32 miles

Cost of one gallon = $1.99

Unit rate in terms of miles;

32 miles = $1.99

1 mile = \frac{1.99}{32}\ Dollars

Therefore,

314 miles = Unit rate of mile * 314 miles

314 miles = \frac{1.99}{32}*314

314\ miles = \frac{624.86}{32}\\\\314\ miles=\$19.526

Rounding off to nearest hundredth;

314 miles = $19.53

The gas cost will be $19.53 for this trip.

Keywords: unit rate, multiplication

Learn more about unit rate at:

  • brainly.com/question/13076219
  • brainly.com/question/13096001

#LearnwithBrainly

6 0
3 years ago
Thomas buys a cardboard sheet that is 8 by 12 inches. Let x be the side length of each cutout. Using complete sentences, explain
jasenka [17]

Answer: V = (12in - 2*x)*(8 in - 2*x)*x

Step-by-step explanation:

So we have a rectangular cardboard sheet, and we cut four squares of side length x in each corner so we can make a box.

Remember that for a box of length L, width W and height H, the volume is:

V = L*W*H

In this case, the length initially is 12 inches, but we remove (from each end) x inches of the length, then the length of the box will be:

L = 12 in - 2*x

For the width we have a similar case:

W = 8in - 2*x

And te height of the box will be equal to x, then:

H = x

This means that the volume is:

V = (12in - 2*x)*(8 in - 2*x)*x

Here we can see the connection between the cutout and the volume of the box

7 0
3 years ago
Find the distance between the points (2,2) (5,5)
Ugo [173]

Answer: root18


Step-by-step explanation:

A (2,2) x1=2 y1=2

B (5,5) x2=5 y2=5

D(AB) = root [(x2-x1)^2 + (y2-y1)^2]

= root [(5-2)^2 + (5-2)^2]

= root [3^2 + 3^2]

= root (9+9)

D(AB)=root18




mark the brainliest plzz

3 0
3 years ago
Assume all variables represent non negative numbers . Help please!!
Dafna1 [17]

Answer:

A). 2p^{8}

B). 3m^{7}

Step-by-step explanation:

A). \sqrt{4p^{16}}

    To get the square root of the given expression we will convert it into the square form.

4p^{16}=(2)^2(p^{8})^2 [Since 2×2 = 4 and p^{8}\times p^{8}=p^{16}]

Therefore, \sqrt{4p^{16}}=\sqrt{2^{2}\times (p^{8})^2 }

                             =2p^{8}

B). \sqrt{9m^{44}}

    Since, 9m^{14}=(3)^2\times (m^7)^2

    Therefore,  \sqrt{9m^{44}}=\sqrt{(3)^2\times (m^7)^2} [Since 3² = 9 and (m⁷)² = m¹⁴]

                                   =3m^{7}

7 0
3 years ago
Independent Practice
mariarad [96]

Answer:

B. (1, 0)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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