Find the measure of the angle indicated in bold (7x + 10)

Also can you explain how you got the answer

Answer:

y = 2 2/5

Step-by-step explanation:

1 7/8y = 4 1/2

Change to improper fractions

1 7/8 = (8*1+7)/8 = 15/8

4 1/2 = (2*4+1)/2 = 9/2

15/8 y = 9/2

Multiply each side by 8/15

8/15 * 15/8y = 9/2 * 8/15

y = 9/15 * 8/2

y = 3/5 *4

y = 12/5

Changing back to a mixed number

y = 2 2/5

Answer:

9

Step-by-step explanation:

Probability is 3/7

that 7 represent all shots and 3 represents successful ones

so,

sarah shots 21 times that means 9 of them would hit the target.

Answer:

20,000 pairs of barber scissors.

Step-by-step explanation:

The sales volume V for barber scissors is directly proportional to the size S of the sales force and inversely proportional to the price P of the scissors.

In other words, we can write that:

[tex]\displaystyle V = \frac{kS}{P}[/tex]

Where k is the constant of proportionality.

19,440 pairs were sold in 2013, when there was 54 salespeople and the price was $20 a pair. Hence, V = 19440 when S = 54 and P = 20. Substitute and determine the value of k:

[tex]\displaystyle \begin{aligned} (19440) &= \frac{k(54)}{(20)} \\ \\ 19440 &= \frac{27}{10}k \\ \\ k &=\frac{10}{27}(19440) = 7200 \end{aligned}[/tex]

Hence, our equation is:

[tex]\displaystyle V = \frac{7200S}{P}[/tex]

We want to determine the sales forecast with 50 salespeople and a price of $18 a pair. Hence, S = 50 and P = 18:

[tex]\displaystyle \begin{aligned} V&= \frac{7200(50)}{(18)} \\ \\ &= 20000\end{aligned}[/tex]

In conclusion, 20,000 pairs of barber scissors can be expected to be sold.

Answer:  approximately 4.7368 minutes

This decimal value is the result of computing 90/19

=====================================================

Explanation:

Let's find the LCM of 6, 9 and 15. First, list out the prime factorization of each value.

The unique prime factors are 2, 3, and 5. We have 2 show up at most once, 3 show up at most twice, and 5 show up at most once. The LCM is 2^1*3^2*5^1 = 2*9*5 = 18*5 = 90.

We'll use this LCM value to set up an example below.

---------------

Consider the tank to be 90 gallons. If we only use tap A, keep tap B closed, and don't open pipe C, then tap A fills the tank at a rate of 90/6 = 15 gallons per minute since it needs 6 minutes to completely fill the tank.

If we have tap B do all the work (keep tap A and pipe C closed), then the rate is 90/9 = 10 gallons per minute for this tap.

Keeping pipe C closed, the two taps A and B work together to have a combined rate of 15+10 = 25 gallons per minute.

Now we consider pipe C being opened. This drains the tank and can do so in 15 minutes (assume the taps A and B aren't open). If we're dealing with a full 90 gallon tank, then its rate is 90/15 = 6 gallons per minute.

The net rate is 25-6 = 19 gallons per minute. We can think of it as a tug of war where the taps A and B ultimately win out despite the fact that pipe C is draining the water. The two taps fill the tank faster than the pipe can drain the tank.

In other words, the tank ultimately gets filled up rather than drained out over the long run. That net speed is at 19 gallons per minute.

The amount of time needed is approximately 90/19 = 4.7368 minutes.

Side note: you can start with any size tank. It doesn't have to be 90 gallons. I picked on this value because it works cleanly with the original given numbers 6, 9 and 15.

Answer:

[tex]x=\frac{90}{19}[/tex] = 4.73 minutes

[tex]\frac{1}{6}x +\frac{1}{9}x - \frac{1}{15} x = 1[/tex]

[tex]\frac{135}{810}x +\frac{90 }{810}x - \frac{54}{810} x = 1[/tex]

[tex]\frac{171}{810}x = 1[/tex]

x = 4.73 minutes

Step-by-step explanation:

Answer:

They are equal.

Step-by-step explanation:

2(x-8)+4x=6(x-2)-4

Distribute: 2(2•x-2•8)+4x=6(6•x-6•2)-4

2x-16+4x=6x-12-4

Combine Like-Terms: (2x+4x)-16=(-12-4)6x

6x-16=6x-16

Since both sides are equivalent, all numbers are solutions.

The equation 2(x - 8) + 4x = 6(x - 2) - 4 is -16 = -16 which means that

the equation has infinitely many solutions.

We have,

Let's solve the given equation step by step:

2(x - 8) + 4x = 6(x - 2) - 4

Distribute on both sides of the equation:

2x - 16 + 4x = 6x - 12 - 4

Combine like terms on both sides:

6x - 16 = 6x - 16

Subtract 6x from both sides to isolate the constants:

-16 = -16

The equation -16 = -16 is true, which means the given equation is an identity.

This implies that the original equation is true for all values of x; there is no specific value of x that satisfies it.

Therefore,

The equation has infinitely many solutions.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ3

Answer:

4z

Step-by-step explanation:

-2z² + 4z + 2z²

Combine like terms

-2z^2  + 2z^2   +4z

0z^2 +4z

4z

[tex]\\ \sf\longmapsto -2z^2+4z+2z^2[/tex]

[tex]\\ \sf\longmapsto -2z^2+2z^2+4z[/tex]

[tex]\\ \sf\longmapsto (-2+2)z^2+4z[/tex]

[tex]\\ \sf\longmapsto 0z^2+4z[/tex]

[tex]\\ \sf\longmapsto 4z[/tex]

Step-by-step explanation:

x<1

x<(1/3)

yes this is the answer

Answer:

13, 14, 15

Step-by-step explanation:

13 + 14 + 15 = 42

Better explanation:

n + (n+1) + (n+2) = 42

42 - 2 - 1 = 39

n + n + n = 39

3n = 39  divide by 3 to isolate n

n = 13

So it starts with 13 and goes up from there.

Answer:

no...

8s -32 is the distributive property

Step-by-step explanation:

Answer:

r = 6

Step-by-step explanation:

– 36 – 4r = -2(-6 + 6r)

+36               +36

----------------------------------

-4r = -12r + 48

+12r     +12r

----------------------------------

8r = 48

/8     /8

----------------------------------

r = 6

Answer:

r = 6

Step-by-step explanation:

– 36 – 4r = -2(-6 + 6r)

-36 - 4r = 12 - 12r

-48 - 4r = -12r

-48 = -8r

r = 6

Answer:  C)  4

==========================================================

Explanation:

Let's isolate t

-3 > -3t + 6

-3+3t > 6

3t > 6+3

3t > 9

t > 9/3

t > 3

This means any value can replace t such that it's larger than 3.

Something like t = 1/3 = 0.33 won't work since it's not larger than 3.

But something like t = 4 would work because it makes t > 3 true.

That's why choice C is the final answer.

Answer:

Specifically, Earth rotates faster at the Equator than it does at the poles. Earth is wider at the Equator, so to make a rotation in one 24-hour period, equatorial regions race nearly 1,600 kilometers (1,000 miles) per hour. Near the poles, Earth rotates at a sluggish 0.00008 kilometers (0.00005 miles) per hour.

Step-by-step explanation:

I hope this will help you :-)

Answer:

2x + 3y = -21

Step-by-step explanation:

Parallel lines have same slope.

2x + 3y = -21

      3y = - 2x - 21

y = [tex]y = \dfrac{-2}{3}x-\dfrac{21}{3}\\\\y=\dfrac{-2}{3}x-7[/tex]

Answer:

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answer:

985

Step-by-step explanation:

The absolute value of a number is its distance from 0. This means a number would be itself if it was positive and if it was negative it would be its opposite. Since 985 is positive, |985| would just be 985.

Answer:

27 ft^2

Step-by-step explanation:

r = 3 ft (that's the radius)

and pi = 3

A = pi r^2

or

3 * r^2

plug in r = 3

so 3 * 3^2 = 3 * 9 = 27 ft^2

(note: 3^2 = 3 * 3. Squaring means we multiply the number by itself)

Answer:

It's b I'm pretty sure.

Step-by-step explanation:

Answer:

k=2

Step-by-step explanation:

Find the zeros of the factor

2x+1=0

x=-½

Plug x=-½ into the function and equate to 0

2(-½)³+(-½)²-k(-½)-1=0

2(-1/8)+¼+½k-1=0

-¼-1+¼+½k=0

-1+½k=0

½k=1

k=2

Step-by-step explanation:

2x+1=0

x=-1/2

Now p(x)= 2x^3 + x^2 -kx-1

subtitute value of x:

p(-1/2)= 2(-1/2)^3 + (-1/2)^2 -k(-1/2)-1

p(-1/2)=2*-1/8+1/4+k/2-1

p(-1/2)=-1/4+1/4+k/2-1

p(-1/2)=k/2-1

2x+1 is the factor of p(x) so

k/2-1=0

k/2=1

k= 2

Answer:  use cymath it helps you alot when you need it for math problems

Step-by-step explanation:

Answer: 31.5

Step-by-step explanation:

Answer: 31.5

Concept:

When encounter questions that ask for operation on algebraic expressions, using BODMAS or PEMDAS method would be easier. Since this question asked for using BODMAS, then it is:

Solve:

Given

2 × 3 + 45 ÷ 2 - 6 + 9

Simplify by division

=2 × 3 + 22.5 - 6 + 9

Simplify by multiplication

=6 + 22.5 - 6 + 9

Simplify by addition

=28.5 + 9 - 6

=37.5 - 6

Simplify by subtraction

=31.5

Hope this helps!! :)

Please let me know if you have any questions

Answer:

[tex] \frac{x + 19}{ - 2} = 5 \\ x + 19 = 5 \times ( - 2) \\ x + 19 = - 10 \\ x = - 19 - 10 \\ \boxed{x = - 29 }[/tex]

B.

y=17,000 · 0.90xy equals 17,000 times 0.90 superscript x baseline

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Since the car’s initial value was $17,000, a = 17,000. Since the car retains 90% of its value each year, b = 0.90.

Answer:

buy for $20 and sell for $40

is 100% mark-up

Step-by-step explanation:

Answer:

rational function is the correct answer

Answer: 24 times

Step-by-step explanation:

volume of cone: (1/3)×5^2×π×10=250π/3 cm^3

volume of cylinder: 10^2×π×20=2000π cm^3

2000π/(250π/3 )=2000π×(3/250π)=24