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kenny6666 [7]
2 years ago
7

At the organic produce store you can buy 3 bags of sweet potatoes for $20.07.

Mathematics
1 answer:
Aneli [31]2 years ago
8 0

Answer:

$13.38

Step-by-step explanation:

Use proportions to solve this problem:

$20.07 / 3 bags  = X / 2 bags

multiply both sides by "2 bags" to isolate the unknown X

$20.07 * 2 / 3 = X

Therefore, X = $13.38

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The surface area of a cube is 294 cm2. Which statements are true about the same cube measured in square millimeters? Choose all
wlad13 [49]
To check whether the statements are correct, we need to convert cm to mm.

surface area of a cube = 6 a²
294 cm² = 6 a²
294 cm² / 6 = a²
49 cm² = a²
√49 cm² = √a²
7cm = a

1 cm = 10 mm
7 cm = 70 mm

Surface area of a cube = 6a²
= 6 * (70mm)² = 6 * 4,900mm² = 29,400mm²

<span>B. The number representing the surface area would increase.
</span><span>E. The actual surface area would stay the same.</span>
5 0
3 years ago
A line is drawn through (–7, 11) and (8, –9). The equation y – 11 = y minus 11 equals StartFraction negative 4 Over 3 EndFractio
yaroslaw [1]

⇒Given equation of line Passing through  (–7, 11) and (8, –9) is given by

       y-11= \frac{-4}{3}(x+7)

⇒Equation of line Passing through  (–7, 11) and (8, –9) is given by

   \rightarrow \frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\rightarrow \frac{y-11}{x-(-7)}=\frac{-9-11}{8-(-7)}\\\\\rightarrow \frac{y-11}{x+7}=\frac{-20}{15}\\\\\rightarrow \frac{y-11}{x+7}=\frac{-4}{3}\\\\\rightarrow 3y-33=-4x-28\\\\\rightarrow 4x+3y=33-28\\\\ \rightarrow 4x+3y=5

Option C

          4x+3y=5

6 0
3 years ago
Read 2 more answers
Ben has a cell phone plan that provides 200 free minutes each month for a
user100 [1]

Answer:

The piecewise functions accurately represents charges  based on Ben's cell phone plan is :

f(x)= 39, x \leq 200\\f(x)=39 + 0.35(x - 200), x > 200}

Step-by-step explanation:

Let x be the minutes over cell phone

Let f(x) represents the piecewise function that represents the charges based on Ben's cell phone plan.

We are given that Ben has a cell phone plan that provides 200 free minutes each month for a  flat rate of $39.

So,f(x)= 39, x \leq 200

We are also given that  For any minutes over 200, Ben is charged $0.35 per minute.

So, Minutes over 200 = x-200

f(x)=39 + 0.35(x - 200), x > 200}

Hence the piecewise functions accurately represents charges  based on Ben's cell phone plan is :

f(x)= 39, x \leq 200\\f(x)=39 + 0.35(x - 200), x > 200}

3 0
3 years ago
The height of a triangle is 4 m less than its base. The area of the triangle is 48 m^2.
masya89 [10]

Answer:

Step-by-step explanation:

Let x = base measurement; then height = (x-4).

 

A = ½•base•height 48 = ½x(x-4

4 0
3 years ago
Travel time: 3.5 hours
kifflom [539]
60 mi/h * 3.5 h = 210 mi
8 0
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