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telo118 [61]
4 years ago
13

Julio's goal is to type an average of 50 words per minute on his five typing exams. His scores on the first four exams were 46,4

4,57 and 47 words per minute. How many words per minute will he need on his fifth exam to reach his goal?
Options: 56,58,50,51

Mathematics
1 answer:
Svetllana [295]4 years ago
6 0
Answer is 56 because on his 3rd exam he got 57 word per minute, since he got 57 he can take out 7 of those words and he would still have 50. Remember the extra 7 words we have. Then you would calculate how many more words he needs to get to fifty on his other exams which are 4,6,and 3. Add these 3 and you get 13. Remember we still have that extra 7. We pick 56 with the extra 7 it would be 63. You can take out 13 words to fill in the other exams and u would still be left with 50.
Therefor your answer is 56.
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Round 1001 to the nearest thousand.
Zepler [3.9K]

1000 is the correct answer !

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3 years ago
3x + 3<br> X + 8<br> What is the perimeter of each polygon?
Ganezh [65]

Answer:

D. 60

Step-by-step explanation:

4(3x + 3) = 5(x + 8)       12(4) + 12         5(4) + 40

12x + 12 = 5x + 40        48 + 12               20 + 40

-5x          -5x                   60                        60

7x + 12 = 40

 -12        -12

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x = 4

6 0
3 years ago
A collector of scale model of ships wants to know the length of a 1/69 scale model of a ship that was 207 feet in length. Find t
Tresset [83]
I think 3 because if u divide 207 by 69 you get 3
4 0
3 years ago
Let L be a tangent line to the hyperbola x y = 2 at x = 9 . Find the area of the triangle bounded by L and the coordinate axes.
mafiozo [28]

Answer:

A = 4

Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

y = \frac{2}{x}

y'=-2\cdot x^{-2}

The numerical value of the slope is:

y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}

The component of the y-axis is:

y = \frac{2}{9}

Now, the tangent line has the following mathematical model:

y = m \cdot x + b

The value of the intercept is found by isolating it within the equation and replacing all known variables:

b = y - m \cdot x

b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}

Thus, the tangent line is:

y = -\frac{2}{81}\cdot x + \frac{4}{9}

The vertical distance between a point of the tangent line and the origin is given by the intercept.

d_{y} = \frac{4}{9}

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

-\frac{2}{81}\cdot x + \frac{4}{9}=0

-\frac{2}{9}\cdot x + 4 = 0

x = 18

d_{x} = 18

The area of the triangle is computed by this formula:

A = \frac{1}{2}\cdot d_{x}\cdot d_{y}

A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )

A = 4

4 0
4 years ago
6 Which equation has a solution of s = 9.5 ? F -5s = -47.5 G -3 + s = 12.5 H --2s 19 J –1 + s = 10.5​
earnstyle [38]

Answer:

F. -5s = -47.5

Step-by-step explanation:

F. -5s = -47.5

s = -47.5 / -5

s =  9.5

This is the correct option

G. -3 + s = 12.5

s = 12.5 + 3

s = 15.5 (Incorrect option)

J. –1 + s = 10.5​

s = 10.5 + 1

s = 11.5 (Incorrect option)

5 0
3 years ago
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