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crimeas [40]
3 years ago
15

Can you find the unit rate? A fertilizer covers 5/8 square foot in 1/4 hour. What is the unit rate?

Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
4 0

For this case we must know the unit rate.

To do this, we divide the amount of area covered by the fertilizer, between time.

We have then:

r =\frac{\frac{5}{8}}{\frac{1}{4}}

Then, rewriting the unit rate we have:

r =\frac{4*5}{8*1}

r =\frac{20}{8}

Answer:

the unit rate is:

r =\frac{20}{8}\frac{ft^2}{h}

alexdok [17]3 years ago
3 0
\frac{5/8}{1/4} = \frac{x}{1}  \\  \\  \frac{5}{8}= \frac{1}{4} x \\  \\  \frac{20}{8} =x

Unit Rate: \frac{20}{8} square feet per hour
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The point (5, 3) is represented on the graph. Which point also belongs on this graph?
kirill [66]
Do you have a picture of the graph,  I cant help u with out it. :)
8 0
3 years ago
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Y= 5x + 13 <br> and<br> y= x + 45
arsen [322]

Answer:

x=8 and y=53

Step-by-step explanation:

Given function:

  • y=5x+13
  • y=x+45

Find x:

  • the two equation, the x and are breaked apart..
  • so find a number that they can both equal to together and has the same y.
  • multiply by 8..
  • 5·8=40
  • combine the terms for x and 13
  • 40+13=53
  • since x is 8 then if we add 8 with 45 it should be 53...
  • 8+45=53

y is:

  • this means that y=53.

Therefore, x=8 and y=53..

7 0
3 years ago
Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.
melamori03 [73]

Answer:

6+2\sqrt{21}\:\mathrm{cm^2}\approx 15.17\:\mathrm{cm^2}

Step-by-step explanation:

The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.

Vertices A, B, and C form a right triangle with legs AB=3, BC=4, and AC=5. The two legs, 3 and 4, represent the triangle's height and base, respectively.

The area of a triangle with base b and height h is given by A=\frac{1}{2}bh. Therefore, the area of this right triangle is:

A=\frac{1}{2}\cdot 3\cdot 4=\frac{1}{2}\cdot 12=6\:\mathrm{cm^2}

The other triangle is a bit trickier. Triangle \triangle ADC is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by:

A=\sqrt{s(s-a)(s-b)(s-c)}, where a, b, and c are three sides of the triangle and s is the semi-perimeter (s=\frac{a+b+c}{2}).

The semi-perimeter, s, is:

s=\frac{5+5+4}{2}=\frac{14}{2}=7

Therefore, the area of the isosceles triangle is:

A=\sqrt{7(7-5)(7-5)(7-4)},\\A=\sqrt{7\cdot 2\cdot 2\cdot 3},\\A=\sqrt{84}, \\A=2\sqrt{21}\:\mathrm{cm^2}

Thus, the area of the quadrilateral is:

6\:\mathrm{cm^2}+2\sqrt{21}\:\mathrm{cm^2}=\boxed{6+2\sqrt{21}\:\mathrm{cm^2}}

4 0
3 years ago
Pls answer this and I will mark it as brainlisti
Anna11 [10]

Answer:$2175

Step-by-step explanation:

set up an equation

15x+675

15(100) +675= 2175

15 is the additional cost per person

675 is the renting fee for the building

100 is the number of people attending

Hope this helps

5 0
3 years ago
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2/5 as a decimal and percentage
erastova [34]
2/5 in a decimal form= 0.4

2/5 in a percentage form= 40%

Hope this Helps!
8 0
3 years ago
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