If p=3(2q+r), express q in terms of p and r.​

Hints:

Step 1: Use Sine law the the angle B.

a/Sin A=b/SinB=c/SinC

24/Sin61^=12/SinB (accross multiply)

SinB=12Sin61^/24

SinB=0.437309853 then convert to degree =25.9 degree( depends on question rounded how many decimal) Read the question it must notes there.

--> Angle C=180-61-25.9=93.1 degree.

Step 2: Use Cosine law to calculate.

c^2=a^2+b^2−2ab⋅cosC

c^2=24^2+12^2-2(24)(12)cos93.1

c^2=720-576(-0.054078812)

c^2=720+31.11494

c^2=751.1494

c=27.4

(Square root take exponent off)

Step-by-step explanation:

Answer:

(2x+1)(x+7)

Step-by-step explanation:

Guess and Check

(2x+7)(x+1) = 2x^2+9x+7. NOPE

(2x+1)(x+7) = 2x^2+15x+7. YES

Answer:

[tex]= (2x + 1)(x + 7) \\ [/tex]

Step-by-step explanation:

[tex]2 {x}^{2} + 15x + 7 \\ 2 {x}^{2} + 14x + x + 7 \\ 2x(x + 7) + 1(x + 7) \\ = (2x + 1)(x + 7)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

y = 200 + 50x

Step-by-step explanation:

y = cost

x = number of months

The cost is equal to the cost to open the plan plus the monthly fee times the number of months

y = 200 + 50x

Answer:

y = 200 + 50x

Step-by-step explanation:

the cost = the base cost plus the monthly charge ($50 per the number of months you pay it)

hope this helps (/o.o)/<3

Answer:

Step-by-step explanation:

[tex]\frac{4}{5+6}=\frac{4}{11}\\\\3+\frac{4}{5+6}=3+\frac{4}{11}\\\\=\frac{3*11}{1*11}+\frac{4}{11}\\\\=\frac{33+4}{11}\\\\=\frac{37}{11}\\\\\\\frac{2}{3+\frac{4}{5+6}}=\frac{2}{\frac{37}{11}}\\\\=2*\frac{11}{37}\\\\=\frac{22}{37}\\\\\\\\1+\frac{2}{3+\frac{4}{5+6}}=1+\frac{22}{37}\\\\=\frac{37}{37}+\frac{22}{37}\\\\=\frac{37+22}{37}\\\\=\frac{59}{37}\\\\=1\frac{22}{37}\\[/tex]

Answer

[tex]59/37[/tex]

Explanation

[tex]1+\frac{2}{3+\frac{4}{5+6} }[/tex]

[tex]1+\frac{2}{3+\frac{4}{11} }[/tex]

[tex]1+\frac{2}{\frac{3}{1} +\frac{4}{11} }[/tex]

[tex]1+\frac{2}{\frac{33}{11} +\frac{4}{11} }[/tex]

[tex]1+\frac{2}{\frac{37}{11} } }[/tex]

[tex]1+2 \times \frac {11}{37}[/tex]

[tex]1+\frac{22}{37}[/tex]

[tex]1\frac{22}{37}[/tex]

[tex]\approx 1.594594594594594594594594594594595[/tex]

Answer:

(4,0) and ( 0,-4)

Step-by-step explanation:

The solutions are the the graphs intersect

There are two points

(4,0) and ( 0,-4)

Answer:

Answer choice a is correct, the answer would be 4.

Step-by-step explanation:

The histogram shows that the bin from 1-3 has a height of 4 shots, and all of the bins to the right include values of ≥4.

The question asks for the number of games that had less than 4 shots, which means that and number of shots greater than or equal to 4 would not be counted. Thus, only the first bin is included in the answer.

Given that, when six is subtracted from five times a number, the result is 9. The number is 3.

Given that, when six is subtracted from five times a number, the result is 9.

Let the number be y, such that;

(5 × y) - 6 = 9

Next, we solve for y

(5 × y) - 6 = 9

5y - 6 = 9

5y = 6 + 9

5y = 15

y = 15 / 5

y = 3

Given that, when six is subtracted from five times a number, the result is 9. The number is 3.

Learn more word problems here: brainly.com/question/2610134

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Answer:

height (in.) is the x-axis label

arm span (in.) is the y-axis label

The ordered pair is (30,27) is found in the scatter plot

Answer:

1000g = 1kg

76.2g ÷ 1000 = 0.0762kg

Answer:

0.0762

Step-by-step explanation:

Answer:

B, C

Step-by-step explanation:

Seeing as you said ASAP I thought I wouldn't spend time writing an explanation, but let me know if you do want one.

Answer:  B

Step-by-step explanation:each of the pairs of opposite angles made by two intersecting lines.

Answer:

The answer is 11 1/4.

Step-by-step explanation:

The value of 3m can be found by multiplying 3 by 3 and 3/4 by 3. We get 9 and 9/4 there. Then we simplify 9/4 into 2 1/4 and say the answer is 11 1/4.

Answer:

(x+1)(x+8)

x^2 + 8x + x + 8

x^2 + 9x + 8

Step-by-step explanation:

1. multiply the length and width by using the foil method

2. add like terms

Answer:

1080 degrees

Step-by-step explanation:

The sum of the interior angles in an octagon can be find through the formula:

(n-2)180

n is the number of sides, put n as 8.

(8-2)180

(6)180 = 1080

1080 degrees is the sum of the interior angles in an octagon.

Answer:

Some numbers cannot be written as a ratio of two integers

Step-by-step explanation:

Answer:

An irrational number is a number that can not be written as a simple fraction or be expressed as the quotient of two integers.

Integer : (A whole number that is not a fraction).

Step-by-step explanation:

Answer:

x = 0, 51

Step-by-step explanation:

→First, you need to factor out the GCF (Greatest Common Factor), which is -0.03x, like so:

-0.03x (x - 51) = 0

→Remove the -0.03 by divide it by both sides:

x(x - 51) = 0

→Separate each, like so:

x = 0

x - 51 = 0

→Solve for x:

x - 51 = 0

x = 51

Your solutions are, 0 and 51.

Answer:3

Step-by-step explanation:

Answer:

.42n = p

Step-by-step explanation:

We can write ratios to solve

2.52 / 6 = p/n

.42 = p/n

Multiply each side by n

.42n = p

Answer:

A is the answer

Step-by-step explanation:

You have to divide $2.42 by 6.

[tex]2.52/6=0.42[/tex]

The unit rate would be

[tex]p=0.42n[/tex]

So for every orange it will cost $0.42

Hope this helps

Answer:3,500

Step-by-step explanation:

Answer: 14:12, 21:18, 28:24, 35:30, 42:36

Answer:

14:12 3.5:3 21:18 28:12 35:30

Step-by-step explanation:

just multiply/divide both sides by the same number

Answer:

there need to line to fly or it migth crash with a bomm!

Step-by-step explanation:

Answer: There exists one plane through any three noncollinear points. Since the points cannot be on the same line, at least two lines would have to pass through any of the three points.

Step-by-step explanation:

Answer:

4 623

Step-by-step explanation:

4.623 x 1000

When multiplying by a  positive power of 10, move the decimal by the number of zeros

Since we have 3 zeros, move the decimal 3 places to the right

4 623

Answer:

You can easily figure that

[tex]4.623 = 4623 \cdot 10^{-3}[/tex]

[tex]1000 = 1\cdot 10^3[/tex]

The multiplication: [tex](4623 \cdot 10^{-3}) \cdot (10^3)=4623[/tex]

Answer:

She will use 3/10 cups of blueberry to prepare muffins for herself and tennis team

Step-by-step explanation:

If recipe for a batch of blueberry muffins calls for 3/5 cups of blueberries

If Rallye wants to make 1/2 batch of muffins, then she will use 1/2 of 3/5 cups of blueberry

That is,

1/2 of 3/5 cups of blueberry

=1/2×3/5

=3/10

Answer:

17 weeks

Step-by-step explanation:

(12×17)+21= 225

(10×17)+55=225

Answer:

Brainliest

Step-by-step explanation:

UT = XV                    

ST = WV

angle v = angle T

^^^^^^^^ these are correct

there is no way I can explain this by writing sorry!

Answer:

[tex] 60\sqrt{3 \\ } [/tex]

Step-by-step explanation:

in a cube, the diagonal is the length of a side times square root of 3

Answer:

-The equation:

[tex]y = x + 2[/tex]

Step-by-step explanation:

Use the Point-slope formula to get the slope-intercept equation:

[tex]y-y_{1} = m(x-x_{1})[/tex]

Use the given slope [tex]1[/tex] and point [tex](3,5)[/tex] for the point-slope formula:

[tex]y-5 = 1(x-3)[/tex]

-Then, solve:

[tex]y-5 = 1(x-3)[/tex]

[tex]y-5 = x - 3[/tex]

[tex]y-5 + 5 = x - 3 + 5[/tex]

[tex]y = x + 2[/tex]

-So, the answer is:

[tex]y = x + 2[/tex]

Answer:

C. [tex]y = x +2[/tex]

Step-by-step explanation:

→You can figure this out by plugging in the numbers into the point-slope form, like so:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-5=1(x-3)[/tex]

[tex]y - 5=x-3[/tex]

[tex]y = x +2[/tex]

Answer:

The answer is the first one.

Step-by-step explanation:

Because this is a linear equation, it will continue on in both directions forever, so the both the x and y values to infinty can be included in this line.

Answer:

x≥7

Step-by-step explanation:

6(x-3)/8≥3

Multiply each side by 8/6

8/6*6(x-3)/8≥3*8/6

(x-3)≥4

Add 3 to each side

x-3+3≥4+3

x≥7