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Fiesta28 [93]
3 years ago
13

55% of 120 children at the theatre were boys. How many were boys?

Mathematics
1 answer:
krek1111 [17]3 years ago
7 0
There were 66 boys.
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Find ​(a) the slope of the curve at the given point​ p, and ​(b) an equation of the tangent line at p. y=−2−9x2​; ​p(2​,−38​)
Neporo4naja [7]

Answer:

a) -36

b) y = -36x +34

Step-by-step explanation:

a) The slope is found using the derivative of the function.

  f'(x) = dy/dx = 0 -9(2x) = -18x

Then at x=2, the slope is ...

  f'(2) = -18·2 = -36

___

b) The point-slope form of the equation can be written as ...

  y = -36(x -2) -38

Simplifying to slope-intercept form, we get ...

  y = -36x +34

6 0
3 years ago
Laura borrowed $1,990 at 5% for 2 years. what was the total interest?
Gnom [1K]

Answer:

$199

Step-by-step explanation:

I = Prt

I = (1990)(0.05)(2)

I = 199

7 0
3 years ago
What percent is 75 of 100? Write the<br> percent as a fraction.
Juliette [100K]

Answer:

75%

Step-by-step explanation:

or since a percent is a decimal then 0.75

3 0
3 years ago
In a math class with 29 students, a test was given the same day that an assignment was due. There were 22 students who passed th
Phoenix [80]

4/29 is the probability that a student who did not complete the homework passed the test.

<u>Step-by-step explanation:</u>

It is given that,

There are 29 students in a math class.

Two types of students who passed the test and are not passed the test.

The other two types of students are who completed the assignment and did not complete the assignment.

So, the given data can be formed as a table.

  • There were 22 students who passed the test.
  • There were 20 students who completed the assignment.
  • There were 18 students who passed the test and also completed the assignment.

                                         Passed the test     Not passed the test    Total

Completed assignment        18                             -                             20

Not completed assignment   x                             -                                -

Total                                       22                           -                               29

Now, you need to find the probability that a student who did not complete the homework passed the test.

⇒ No.of students completed assignment passed the test / Total students.

<u>To find the no.of students completed assignment passed the test :</u>

Let 'x' is the no.of students completed assignment passed the test.

⇒ 18+x = 22

⇒ x = 22 - 18

⇒ x = 4

∴ P(students completed assignment passed the test) = 4 / 29.

4 0
3 years ago
Would anyone be willing to helppp? I’ll be giving brainliest when I get the chance too
anyanavicka [17]

Step-by-step explanation:

1. add the numbers all together

(of the pets)

= 40 pets total

40 pets =100%

1 pet = 2.5%

percents:

Cat= 10, or 25%

Dog = 15, or 37.5 %

fish=8 or 20%

bird= 7 or 17.5%

angles:

dog= 135

cat= 90

fish= 72

bird= 63

5 0
3 years ago
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