Please answer this correctly
Please answer this correctly - 1

Answers

Answer 1
Answer:

Answer:

6 books

Step-by-step explanation:

22, 23, 25, 25, 26, 28

6 books contained at least 22 characters but less than 29.


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The following is known about three numbers: If the second number is subtracted from the sum of the first number and 3 times the third number, the result is 2. The third number plus 3 times the first number is -1. The first number plus 3 times the second number plus the third number is -16. Find the sum of the three numbers.

Answers

Answer:

-6

Step-by-step explanation:

Let the first, second and third number be x, y and z respectively.

We are told that the second number is subtracted from the sum of the first number and 3 times the third number, the result is 2.

Thus;

(x + 3z) - y = 2 - - - (eq 1)

The third number plus 3 times the first number is -1.

Thus;

z + 3x = -1 - - - (eq 2)

The first number plus 3 times the second number plus the third number is -16.

Thus;

x + 3y + z = -16 - - - (eq 3)

From eq 2, we can rearrange to get;

z = -1 - 3x

Putting -1 - 3x for z in eq(1) and (eq 3),we have;

(x + 3(-1 - 3x)) - y = 2

x -3 - 9x - y = 2

-8x - y = 2 + 3

-8x - y = 5

y = -5 - 8x

Putting y = -5 - 8x and z = -1 - 3x into eq(3), we have;

x + 3(-5 - 8x) + (-1 - 3x) = -16

x - 15 - 24x - 1 - 3x = -16

-26x - 16 = -16

-26x = 16 + 16

x = 0

Since y = -5 - 8x, then y = -5 - 8(0)

y = - 5

Also, since z = -1 - 3x, then;

z = -1 - 3(0)

z = -1

The sum of the three numbers are;

x + y + z = 0 + (-5) + (-1) = -6

For one child, a childcare facility charges $350 per month for preschool and $5.00 per hour for each additional hour for after-school care. The function below can be used to determine f(h), the monthly fee for after-school care and preschool, where h represents the number of hours spent in after-school care.f(h) = 350 + 5h

If the total monthly bill for one child was $750, what was the total number of hours the child spent in after-school care?

A.100
B.90
C.88
D.80

Answers

Answer:

D.) 80

Step-by-step explanation:

750 - 350 = 400

400/5 = 80

80 hours

Hopefully this helps you :)

pls mark brainlest ;)

Answer:

D-80

Step-by-step explanation:

750-350=400

400/5=80

Please help , i don’t know how to do these

Answers

2) 94, 124, 154

3) 8, 12, 16

4) -428, -528, -628

5) - 98, -118, 138

6) 13, 18, 23

(1) True or False? Explain your answer. The signs of the cosecant function will be the same as the sine function in each of the four quadrants.

Answers

Answer:

True

Step-by-step explanation:

A number and its reciprocal have the same sign.

The cosecant is the reciprocal of the sine.

Therefore, the cosecant has the same sign as the sine.

Final answer:

The signs of the cosecant function will change in each quadrant, making the statement false.

Explanation:

The statement is false. The cosecant function, csc(x), is defined as the reciprocal of the sine function, so csc(x) = 1/sin(x). Since the sine function changes sign between the different quadrants, the cosecant function will also change sign in each quadrant. In the 1st and 3rd quadrants, both the sine and cosecant functions have positive values. In the 2nd and 4th quadrants, both functions have negative values.

Learn more about Cosecant function here:

brainly.com/question/32214584

#SPJ2

Solve for x. Note: Figure not drawn to scale.AA
B
8
X
24.6°
C
D

Answers

Answer:

x = 65.4°

Step-by-step explanation:

the 2 angles x and 24.6° form ∠ ABD , that is

∠ ABC + ∠ CBD = ∠ ABD ( substitute values )

x + 24.6° = 90° ( subtract 24.6° from both sides )

x = 65.4°

What is the answer to a10/a3 ?

Answers

Answer:

a^7

Step-by-step explanation:

(a^(10))/(a^3)\n\n\mathrm{Apply\:exponent\:rule}:\quad (x^a)/(x^b)=x^(a-b)\n(a^(10))/(a^3)=a^(10-3)\n\n=a^7