Select the correct answer from each drop-down menu. the expression above can also be written in the form . for this expression, a = , b = , and c = .

Answer: 37 students in the class

Step-by-step explanation:

Let n = number of books,

Let s = number of students

We get the following expressions:

n = 3s + 17

4 = [tex]\frac{n}{s-5}[/tex]

Solve this system using substitution:

[tex]4=\frac{3s+17}{s-5}[/tex]

[tex]4(s-5) = \frac{3s+17}{s-5} (s-5)[/tex]

[tex]4s -20 = 3s+17\\[/tex]

[tex]s-37 = 0\\[/tex]

[tex]s=37[/tex]

Answer:

O -x+y=-2

Step-by-step explanation:

-x + y = -5

⇔ y = x - 5

a line parallel to y = x - 5 must have the same slope as the line y = x - 5

Then

The equation of the parallel line is of the form : y = x + p

Finding p :

the point (-6,-8) lies on the parallel line means :

-8 = -6 + p

Then

p = -8 + 6 = -2

Finally :

y = x - 2 ⇔ -x + y = -2

The perimeter of the picnic area is 107 yards

A triangular picnic area has the side lengths of 45, 31 and 31 yards; To the nearest yard, what amount of fencing is needed to surround the perimeter of the picnic area? 95 yards 107 yards 160 yards 190 yards

From the complete question, we have:

Shape: Triangle

Side lengths = 45 yards, 31 yards, 31 yards

The perimeter is the sum of the side lengths.

So, we have:

Perimeter = 45 + 31 + 31

Evaluate

Perimeter = 107

Hence, the perimeter of the picnic area is 107 yards

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Answer:B

Step-by-step explanation:

107 Yards

Answer:

Irrational

Step-by-step explanation:

If the number goes on and on it’s irrational

Hope this helps! ;-)

Answer:

It is not rational because the square root of 3 is not a fraction nor a repeating decimal.

Answer:

all you have to do is plug points into the equation m=(x1-x2)/(y1-y2) to find the slope. then choose one of the points to plug into the equation y-y1=m(x-x1).

Step-by-step explanation:

use the formulae for each question.

Answer:

    21. £10

    22. £75

    23. £50

    24. £250

Step-by-step explanation:

Rate: 1.46 euros per £1

Q21

Q22

Q23

Q24

Answer:

21.  £10

22.  £75

23.  £50

24.  £250

Step-by-step explanation:

Exchange rate:

£1 = ∈1.46

To convert from euros to pounds, divide the euros by 1.46

To convert from pounds to euros, multiply the pounds by 1.46

Question 21

14.60 euros = 14.60 ÷ 1.46 = £10

Question 22

109.50 euros = 109.50 ÷ 1.46 = £75

Question 23

73 euros = 73 ÷ 1.46 = £50

Question 24

365 euros = 365 ÷ 1.46 = £250

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=59\\ \theta =40 \end{cases}\implies 59=\cfrac{(40)\pi r^2}{360}\implies 59(360)=40\pi r^2 \\\\\\ \cfrac{59(360)}{40\pi }=r^2\implies \cfrac{531}{\pi }=r^2\implies \sqrt{\cfrac{531}{\pi }}=r\implies 13\approx r[/tex]

Answer:

36.32 m

Step-by-step explanation:

perimeter = 2(l+b) = 2(10.5 + 7.66)

=2(18.16)= 36.32 m

Answer:

No solution or Undefine

Step-by-step explanation:

Answer:

The answer choices are garbled.

Step-by-step explanation:

(18 pints)/(8 bottles) = (9/4) pint/bottle

2 and 1/4 pints per bottle

Answer:(x-4)^2+(y+2)^2=121

Step-by-step explanation:

eqaution of circle is this

(x-h)^2+(y-k)^2=r^2

(x-4)^2+(y--2)^2=r^2

and 2 negatives make positive

(x-4)^2+(y+2)^2=r^2
and r^2=121

(x-4)^2+(y+2)^2=121

Answer:

C. y = -9x - 8

Step-by-step explanation:

Setting up the equation:

eight LESS (so minus sign before the 8) THAN (so 8 is being subtracted from the -9x) negative (-) nine TIMES (multiplication) a number, (variable) x.

We want to get the variable y alone, so this can be written as y = -9x - 8

Answer:

Step-by-step explanation:

a straight line equals 180°. so if one side is 117°, the other side would have to add up to 180.

180-117=63

And you can kind on figure out what is the same as the other angles. Hope his helps

The additive inverse of the complex number -12 + 4i is 12 - 4i

The complex number is given as:

-12 + 4i

The additive inverse of a complex number a + bi is -a - bi

This means that the additive inverse of -12 + 4i is 12 - 4i

Hence, the additive inverse of the complex number -12 + 4i is 12 - 4i

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Answer:

It's C

Step-by-step explanation:

[tex]\text{Arc length,}\\\\s = r \theta \\\\~~=12\cdot \left(30 \times \dfrac{\pi}{180} \right)\\\\~~=12\cdot \dfrac{\pi}6\\\\~~=2\pi[/tex]

Answer:

I think its 4.9

Step-by-step explanation:

i used a calculator

Answer:

6+33/9 ≈ 9.67

Step-by-step explanation:

first you have to divide 33 by 9 getting roughly 3.67

once you have that u add 6

roughly giving you 9.67

Answer:

pi is an irrational number, meaning that its decimal form neither ends (like 1/4 = 0.25) nor becomes repetitive

Step-by-step explanation:

In decimal form, the value of pi is approximately 3.14. But pi is an irrational number, meaning that its decimal form neither ends (like 1/4 = 0.25) nor becomes repetitive (like 1/6 = 0.166666...). (To only 18 decimal places, pi is 3.141592653589793238.)

Answer:

One of these movies was an animated movie rated G for general audiences. Do you think it was movie A, B, or C?    

movie B

Which movie has a dot plot with ages that that center at about 30 years?    

movie C

What is a typical age for the people who were at Movie A?    

40

Step-by-step explanation:

I had the same question but I'm pretty sure that is the correct answer for it, sorry if I am wrong.

Answer:

2755

Step-by-step explanation:

One cubic foot=145 pounds, so we can do 145x19=2755 lbs.

The required weight of 19  cubic feet of concrete is 2755 pounds.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
One cubic foot of concrete weighs about 145 pounds.
weight of 19 cubic feet of concrete = 19 × 145 = 2755 pounds.

Thus, the required weight of 19  cubic feet of concrete is 2755 pounds.

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Answer:

c.

Step-by-step explanation:

15-3-3=9...........

Step-by-step explanation:

100% = 350

1% = 100%/100 = 350/100 = 3.5

how many % are 70 ? well, as many as often 1% fits into 70 :

70/3.5 = 20%

Answer:

2

Step-by-step explanation:

2x -4= 0

2x-4+4=0

2x=0+4

2x=4

2x/2=4/2

x=2

Answer:

Yes

Step-by-step explanation:

The larger side is smaller than the other sides combined

(2 + 13) > 14

Hope this helps

Answer:

1.174 X 10^16

Step-by-step explanation:

since 5,870,000,000,000 X 2000 = 11,740,000,000,000,000 = 1.174 X 10^16

Step-by-step explanation:

The slope formula from 2 points is:

m=(y2-y1)/(x2-x1)

So input the numbers:

m = (6 - -2) / (5 - 2)

Solve within parenthesis:

m = (8) / (3)

Then divide!
8/3 = 2 2/3

the slope of the line is 2 and 2/3

The results of the absolute value expressions are:

Expression 1:

We have: |x - (-18)| if x<-18

Open the bracket

|x + 18|

If x < -18, then the values of x are above -18 i.e. -19, -20...

This means that: |x + 18| > 0

Hence, |x - (-18)| if x < -18 is greater than 0

Expression 2:

We have: |2x| if x < 0

If x < 0, then the above equation would be greater than 0

Hence, |2x| if x < 0 is greater than 0

Expression 3:

We have: |x - 120| if x<120

If x < 120, then the values of x are less 120 i.e. 119, 118...

This means that: |x - 120| > 0

Hence, |x - 120| if x<120 is greater than 0

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If Circle K has a radius of 8 inches. The figure that is closest to the length of FA is: 14.8.

MAC=1/2×360°=180°

mΔAFC=1/2×180°=90°

Circumference angle theorem

AK=8

AC=2

AK=16

Pythagorean theorem

FA²+FC²=AC²

Substitution

FA²+6²=16²

FA²+36=256

FA²=√220

FA=14.8

Therefore the figure that is closest to the length of FA is: 14.8.

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