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rewona [7]
3 years ago
5

Use the grid to create a model to solve the percent problem.

Mathematics
1 answer:
Delicious77 [7]3 years ago
6 0
For this case we can make the following rule of three:
 21 ------> 70%
 x --------> 100%
 Clearing x we have:
 x = (100/70) * (21)
 Rewriting we have:
 x = (10/7) * (21)
 x = 30
 Thus,
 21 is 70% of 30
 Answer:
 
21 is 70% of 30
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F(t)=t^2+19t+60<br> What are the zeros of the function and what is the vertex of the parabola?
SVEN [57.7K]

Answer: -4,-15;\ \left(-\dfrac{19}{2},-\dfrac{121}{4}\right)

Step-by-step explanation:

Given

Function is F(t)=t^2+19+60

Zeroes of the function are

t^2+19t+60=0\\\\\Rightarrow t=\dfrac{-19\pm\sqrt{19^2-4\times 1\times 60}}{2\times 1}\\\\\Rightarrow t=\dfrac{-19\pm \sqrt{121}}{2}\\\\\Rightarrow t=\dfrac{-19\pm 11}{2}\\\\\Rightarrow t=-4,-15

Using completing the square method

y=t^2+2\times \dfrac{19}{2}t+\dfrac{19^2}{2^2}-\dfrac{19^2}{2^2}+60\\\\y=\left(t+\dfrac{19}{2}\right)^2+60-\dfrac{361}{4}\\\\y=\left(t+\dfrac{19}{2}\right)^2-\dfrac{121}{4}\\\\y+\dfrac{121}{4}=\left(t+\dfrac{19}{2}\right)^2\\\\\left(y-(-\dfrac{121}{4}\right)=\left(t-(-\dfrac{19}{2})\right)^2\\\\\text{The vertex is }\left(-\dfrac{19}{2},-\dfrac{121}{4}\right)

4 0
3 years ago
True or false.200centimeters=2meter
katovenus [111]

Answer:

<h2>True</h2>

Step-by-step explanation:

1 meter = 100 centimeters

therefore 2m = 2(100cm) = 200cm

6 0
3 years ago
Can anyone please help me find the length of X? <br>​
Alex_Xolod [135]

Solution:

<u>Note that:</u>

  • 2(Perimeter of smaller triangle) = Perimeter of larger triangle

<u>Using the perimeter of the smaller triangle, solve for x.</u>

  • 2(Perimeter of smaller triangle) = Perimeter of larger triangle
  • => 2(3.5 + x + h) = 7 + 4 + 2h
  • => 7 + 2x + 2h = 7 + 4 + 2h
  • => 2x = 4
  • => x = 2

The length of x is 2 units.

8 0
2 years ago
HEE 1 15. Mary decides to take out a $4,000 student loan this year. If she will pay 10% interest compounded annually, how much w
german
Answer: 5,600

Explanation: By multiplying 0.10 (4,000) to find the interest for one year, you get 400. Because she is using this loan for 4 years you multiply that one year interest by 4. 400 times 4 is 1600. Then, you add that 1600 (which is the total interest for 4 years) to the loan, to get an answer of 5,600.
7 0
2 years ago
Find the slope of the line that is defined by 2y=3x-30​
Elden [556K]

Answer: 1.5

Step-by-step explanation:

The equation of a line in slope - intercept form is given as :

y = mx + c , where :

m = slope

c = y - intercept

Given:

2y = 3x - 30

What we need to do is to write it in slope - intercept form, we will make y the subject of formula.

Divide the equation through by 2

2y/2 = 3x/2 - 30/2

y = 3x/2 - 15

comparing with y = mx + c

slope = 3/2 = 1.5

8 0
2 years ago
Read 2 more answers
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