It is known that
the pair of values x = –3 and y =8 is a solution to the equation
5x +by =17. Find the value of the coefficient b.

Answer:

6

Step-by-step explanation:

If two secants are drawn from a point outside a circle, then product of one secant segment and its external part equal the product of the other secant segment and its external part.

(Secant-Secant Power Theorem)

(JG)(JH) = (JM)(JK)

(16) X (7) = (8+X)(8)

112=64+8X

8X=48

X=6

Answer:

A. 840 miles

B. 14 miles per gallon

Step-by-step explanation:

A. 14 mi. per gal. x 60 = 840 miles

B. 350 mi./25 gal. = 14 miles per gallon

hope this helps :)

1. The truck can travel 840 miles on 60 gallons of gas.

2. The truck's gas mileage is 14 miles per gallon.

Proportion refers to the relationship or comparison between two quantities or parts of a whole. It is often expressed as a ratio or a fraction. In mathematics, a proportion states that two ratios or fractions are equal.

a)  We have, 25 gallons of gas corresponds to 350 miles.

Let's set up the proportion:

25/350 = 60/x

25x = 350 (60)

25x = 21,000

x = 21,000 / 25

x = 840

Therefore, the truck can travel 840 miles on 60 gallons of gas.

b) The truck can travel 350 miles on 25 gallons of gas.

Gas mileage = Distance / Gas consumed

Gas mileage = 350 miles / 25 gallons

Gas mileage = 14 miles per gallon

Therefore, the truck's gas mileage is 14 miles per gallon.

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Answer:

p = 2a-22

a= p-20

these will help you find the actual value

Step-by-step explanation:

this is not for the actual value

pierre = p

alex = a

p = a+20

p-20 = a

p+22 = 2a

p = 2a-22

Answer:

Step-by-step explanation:

Equation: y = 20x

y = # of gallons

x = minutes

6.

So, you substitute (0, 1, 2, 3 and 4 minutes) for x, to find the number of gallons:

x = 0 mins:

y = 20x

y = 20(0)

y = 0 gallons

(0, 0)

x = 1 min.

y = 20x

y = 20(1)

y = 20 gallons

(1, 20)

x = 2 mins.

y = 20x

y = 20(2)

y = 40 gallons

(2, 40)

x = 3 mins.

y = 20x

y = 20(3)

y = 60 gallons

(3, 60)

x = 4 mins.

y = 20x

y = 20(4)

y = 80 gallons

(4, 80)

7. View the attached graph

8. Predict the amount of water in the tank after 6 mins.

We use the same equation, y = 20x for this question

y = 20x

y = 20(6)

y = 120 gallons

(6, 120)

8. Linear ==> straight line

   Non-linear ==> anything other than a straight line (curved line)

As you can see from my attached graph, the relationship between x and y and linear, because the graph has a straight line.

Hope this helps!

Shannon mistakenly mixed up angles A and B. Notice the side 9 is opposite angle B and not angle A.

She should replace every copy of uppercase A with uppercase B. Also, she should replace lowercase 'a' with lowercase b

This is what her steps should look like

[tex]\frac{\sin B}{b} = \frac{\sin C}{c}\\\\\frac{\sin B}{9} = \frac{\sin 125^{\circ}}{12}\\\\B= \sin^{-1}\left(\frac{9*\sin 125^{\circ}}{12}\right) \approx 37.9^{\circ}\\\\[/tex]

Then we can find angle A like this

[tex]A+B+C = 180\\\\A = 180 - B - C\\\\A \approx 180 - 37.9 - 125\\\\A \approx 17.1^{\circ}\\\\[/tex]

Angle A is approximately 17.1 degrees.

Answer:

i cant really tell because there is no real explannation

Step-by-step explanation:

two correct answers :

x = -2c

or

x = -2b - 2c

Answer:

4

Step-by-step explanation:

smart

Answer:

A) x = 2.5

B) x = 7/3

Step-by-step explanation:

A) 4x - 1/2 = x + 7

4x - x = 7 + 1/2

3x = 7.5

x = 7.5/3

x = 2.5

B) 3x + 2 = 2x + 13/3

x +2 = 13/3

x = 13/3 - 6/3

x = 7/3

I hope this helps!

The total number of people attending the game is 1700.

Percentage in simple terms can be defined as a part per 100.

Percentage is a ratio or number which has to be defined as a fraction of 100.It is denoted by %.

If we are asked to calculate the percent of a number simply divide it by the whole part or number and then multiply with 100.

Percent of people supporting the home team = 92%

Number of people supporting the home team = 1564

Let x be the total number of people attending the game.

⇒ [tex]\frac{1564}{x}[/tex] × 100 = 92

⇒ [tex]\frac{1564}{x}[/tex] = 0.92

⇒ x = [tex]\frac{1564}{0.92}[/tex]

⇒ x = 1700

Hence, the total number of people attending the game will be 1700.

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Answer: umm what did you say?

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

(I put the answers in bold)

To solve, add first, and then divide.

O True O False

To solve, divide first, and then add.

O True O False

There were 7 boxes of assorted muffins.

O True O False

There were 8 boxes of assorted muffins.

O True O False

This is a one-step division problem.

O True O False

Step-by-step explanation:

To get the answer I added all the numbers to get fifty-six and divided it by eight to get seven.

Answer:

1

Step-by-step explanation:

It has 1 lines of symmetry

Hopes this helps

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820 miles

how far the airplane can travel in an hour.

x= v × t

x= 820 × 1

x= 820 miles

so, the airplane can travel 820 miles per hour.

109.36 to nearest hundredth

A= pi x r x r

= pi x 5.9 x 5.9

= 109.3588....

Hope this helps!

Answer:

–4 must be factored from –4x2 + 2x

Answer:

4 ft

Step-by-step explanation:

So to calculate the volume of a triangular prism, the formula is 4ft

Step-by-step explanation:

volume of prism = area of triangle * length

                            = 1/2*4*8*37

                            = 592ft^3

We know that 2+2 is 4.

34 - 4 is 30.

Therefore, the legnth, a, is half of thirty.

30/2 = 15

a = 15

[tex]\bf a= 15\;\; millimetetrs[/tex]

Step-by-step explanation:

perimeter: 34 millimetetrs

perimeter= [tex]\tt a+2+a+2=34[/tex]

[tex]\tt 2a+4=34[/tex]

[tex]\tt 2a+4-4=34-4[/tex] (Subtract 4 from both sides)

[tex]\tt 2a=30[/tex] (Simplify)

[tex]\tt \cfrac{2a}{2}=\cfrac{30}{2}[/tex] (Divide both sides by 2)

[tex]\tt a=15[/tex]

Therefore, a= 15 millimetetrs.

~

Answer: Angle A = 120 degrees.

Step-by-step explanation:

Answer:

50 degrees sorry if wrong

Step-by-step explanation:

Answer:

6,264

Step-by-step explanation:

Answer:

6264

Step-by-step explanation:

72 x 8 = 576

576 x 10 = 5760

72 x 7 = 504

5760 + 504

6264

Answer:

50²-30²=x²

2500-900=1600

√1600= 40

x=40

Step-by-step explanation:

[tex] \tan(2x) = 1.5[/tex]

Take the arc tangent,

[tex] \tan {}^{ - 1} ( \tan(2x) ) = \tan {}^{ - 1} (1.5) [/tex]

[tex]2x = 56.3[/tex]

[tex]x = 28.15[/tex]

b.

[tex](3 \cos(x) + 1)(2 \cos(x) + 3) = - 2[/tex]

[tex]6 \cos {}^{2} (x) + 11 \cos(x) + 3 = - 2[/tex]

[tex]6 \cos {}^{2} (x) + 11 \cos(x) + 5 = 0[/tex]

[tex]6 \cos {}^{2} (x) + 6 \cos(x) + 5 \cos(x) + 5 = 0[/tex]

[tex]6 \cos(x) ( \cos(x) + 1) + 5( \cos(x) + 1) = 0[/tex]

[tex](6 \cos(x) + 5)( \cos(x) + 1) = 0[/tex]

Set each factor equal to zero.

[tex]6 \cos(x) + 5 = 0[/tex]

[tex]6 \cos(x) = - 5[/tex]

[tex] \cos(x) = - \frac{5}{6} [/tex]

[tex]x = \cos {}^{ - 1} ( \frac{5}{6} ) [/tex]

[tex]x = 146.4[/tex]

For the second factor,

[tex] \cos(x) + 1 = 0[/tex]

[tex] \cos(x) = - 1[/tex]

[tex]x = 180[/tex]

So the answer for the second one is

146.4 and 180.

Answer:

The answer is D.

Step-by-step explanation:

Find the boundary line, and then just shade the area.

y < 1/2x + 2

Answer:

d

Step-by-step explanation:

2023

Answer: 176 cubic cm

Step-by-step explanation:

Formula for finding volume is l x w x h

The first rectangle on the bottom:

2 x 2 x 8 = 32

The second rectangle next to it:

3 x 6 x 8 = 144

Now add the two values to get the volume of the figure

144 + 32= 176