find the two angle measures from the diagram 12x-18 8x +10 answers are 114 and 66 or 66 and 66 or 114 and 114 will mark brainiest ​

Answer:

6x - 24 + 20x + 30

Step-by-step explanation:

I got this because when you have an equation that you have to use the distributive property on you always do that first. So therefore if you correctly distribute the equation:

6(x - 4) + 10(2x + 3)

6x - 24 + 20x + 30

When using the distributive property, you use the term that is in front  of the parenthesis and multiply the outside term by the inside term(s). Now for combining like terms you combine the terms that are similar. There are two different types of terms in this equation: constant and term with variable. However, there are 4 total terms in this equation. If you correctly combine your like terms you should get this:

26x + 6

I got this by combining the two terms 6x and 20x. They both have the variable 'x' therefore they are like terms. I also combined the two like terms -24 and 30.

I hope this is helpful!

\( \\ \mathbb {}\)

\( \\ 6 \frac{2}{5} \div 3 \frac{1}{5} - (2\frac{3}{10} + 1 \frac{3}{8} )\)

\( \\ = \frac{32}{5} \div \frac{16}{5} - ( \frac{23}{10} + \frac{11}{8} )\)

\( \\ = \frac{32}{5} \div \frac{16}{5} - ( \frac{92 + 55}{40} )\)

\( \\ = \frac{32}{5} \div \frac{16}{5} - \frac{147}{40} \)

\( \\ = \frac{32}{5} \times \frac{5}{16} - \frac{147}{40} \)

\( \\ = 2 - \frac{147}{40} \)

\( \\ = \frac{80 - 147}{40} \)

\( \\ = \frac{ - 67}{40} \)

\( \\ = - 1 \frac{27}{40} \)

Answer:

3x was subtracted from the left side, but 3x was subtracted from the right side. The Subtract Property of Equality states that you can subtract the same number from each side and the equation will remain true. But 3x and 3 are not the same number (unless x is 1).

x = -8/5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 12 from both sides.

Step 3: Divide both sides by 10.

9514 1404 393

Answer:

Step-by-step explanation:

You answer this sort of question by comparing each line to the line above to see what the differences are. In the second line, the term 3x is missing from the left side of the equal sign, and the value 5 has been changed to the value 2 on the right side. The wording of the statement you're to fill in tells you that it should read ...

  3x was subtracted from the left side, but 3 was subtracted from the right side.

  ... 3x and 3 are not the same number (unless x is 1 .)

__

The correct solution is ...

  7x +21 +3x = 5 . . . . . . given

  10x +21 = 5 . . . . . . . . . collect terms

  10x = -16 . . . . . . . . . . . subtract 21 from both sides

  x = -1.6 . . . . . . . . . . . .  divide both sides by 10

_____

Additional comment

It can often work well to "read ahead" when answering a question or series of questions. The later questions or comments often provide clues that help you understand how to answer the earlier questions.

Here, for example, it becomes clear that 3x and 3 were subtracted from the different sides of the equation. You can find that out simply by reading the rest of the statement you're to fill in. These are the answers to the questions asked in the first part of the statement.

Answer:

Step-by-step explanation:

Remark

I'm not sure I know what you intend for the slope. I will take it as 12/3 = 4

If that is the case then what you have so far is

Solution

y = 4x + b

The given point determines b

Givens

x = 3

y  = 2

Given point

2 = 4*3 + b

2 = 12 + b

b = 2 - 12

b = -10

The equation is y = 4x - 10

Answer: Yes

Step-by-step explanation:

Answer:

43.

Step-by-step explanation:

All the prime numbers  between 40 and 70 are

41 43 47 53 59 61 67

43 gives a sum of 7.

Answer:

43, 61

Step-by-step explanation:

All prime number between 40 and 70 are: 41, 43, 47, 53, 59, 61, 67

43 and 61 are the only numbers that works.

4+3=7 and 6+1=7

The distance between points P and Q is √73

First, remember that the distance between two points whose coordinates are (a, b) and (c, d) is given by:

distance = √( (a - c)² + (b - d)²)

Here we can see that the coordinates of the two shown points are:

P = (-3, 2)

Q = (5, -1)

Replacing that in the distance formula we will get:

distance = √( (-3 - 5)² + (2 + 1)²)

distance = √( (-8)² + (3)²)

distance = √73

So the correct option is the third one.

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Two stockpots are similar cylinders. The smaller stockpot has a height of 10 inches and a radius of 2.5 inches, the volume of larger one is 628.32 cubic inches.

We know that, to find volume:

Volume = π * \(r^2\) * h

For the smaller stockpot:

Radius (r) = 2.5 inches

Height (h) = 10 inches

Volume = π * (2.5)² * 10 ≈ 196.35 cubic inches

For the larger stockpot:

Radius (r) = 2.5 inches

Height (h) = 16 inches

Volume = π * (2.5)² * 16

             ≈ 628.32 cubic inches

Thus, the volume of larger one is 628.32 cubic inches.

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The length of the Green Route in miles is 64 miles.

Miles is a unit of linear measurement. It is traditionally defined as 5,280 feet, or 1,760 yards, and is equivalent to 1.609 kilometers. Miles are commonly used to measure long distances, such as the distance between two cities. They are also used to measure the lengths of roads and other paths. Miles are one of the most commonly used units of measurement in the United States.

The length of the Green Route in miles can be calculated by subtracting the total mileage traveled on the Blue Route from the total mileage traveled on both routes.

Total miles traveled on Monday = 38 miles
Total miles traveled on Tuesday = 80 miles

Total miles traveled on the Blue Route = 5 + 11 = 16 miles

Therefore, the total miles traveled on the Green Route = 80 - 16 = 64 miles

Therefore, the length of the Green Route in miles is 64 miles.

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How big is the target in compound archery?

The target in a compound event is set at 50 metres. The target face is 80cm in diameter with the innermost 10-point ring 8cm in diameter. A barebow is the most primitive form of bow in archery, with archers allowed no stabilisers or sight pins to shoot at their targets.

Answer:

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%

Step-by-step explanation:

To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755

To convert this decimal to a percentage, we simply multiply by 100:

0.0755 * 100 = 7.55%

Answer:

A

\(f(x + h) = 21x -x^2 -2xh+ 21h+h^2\)

B

\(f(x-h)-f(x) = 21h+h^2 -2xh\)

C

\(\frac{f(x-h)-f(x)}{h} = 21+h -2x\)

Step-by-step explanation:

From the question we are told that

   The equation given is

                    \(f(x) = x (21 - x )\)

Considering  A

      \(f(x + h) = (x + h) (21 - (x + h))\)

      \(f(x + h) = (x + h) (21 - x - h)\)

      \(f(x + h) = 21x -x^2 -2xh+ 21h+h^2\)

Considering B

       \(f(x + h)-f(x) = 21x -x^2 -2xh+ 21h+h^2 -[ x(21 -x)]\)

        \(f(x + h)-f(x) = 21x -x^2 -2xh+ 21h+h^2 -21x + x^2\)

       \(f(x-h)-f(x) = 21h+h^2 -2xh\)

Considering C

       \(\frac{f(x-h)-f(x)}{h} = \frac{21h+h^2 -2xh}{h}\)  

       \(\frac{f(x-h)-f(x)}{h} = \frac{h(21+h -2x)}{h}\)

       \(\frac{f(x-h)-f(x)}{h} = 21+h -2x\)

Step-by-step explanation:

\(7 \times \frac{3}{5} + 2 \times \frac{4}{5} \\ \frac{38}{5} + \frac{14}{5} \\ \frac{38 + 14}{5} \\ \frac{52}{5} \\ 10 \times \frac{2}{5} \)

Answer:

Step-by-step explanation

7 \(\frac{3}{5}\) + 2  \(\frac{4}{5}\)

= 38/5 + 14/5

=52/5

Answer:

For the first city, the 95% confidence interval would be:

28,900 +/- 2300 x 3 = 28,900 +/-6900$

For the second city, the 95% confidence interval would be:

30,300 +/- 2100 x 3 = 30,300 +/- 6300$

Solution

Step 1

Write the expression for the volume of a sphere

Where r = 21ft

Step 2

Substitute in the values and find the volume.

Hence the volume of the sphere = 21,348πft³

Step-by-step explanation:

Male ratio: 204:306 = 2:3 (66%)

Female ratio: 180:420 = 3:7 (42%)

Hope that helps

Answer:

both are non smokers is 0.48.

Answer:

D) A search warrant

Step-by-step explanation:

A search warrant is required before the search and collection of evidence to ensure legal authorization and protection of individuals' rights against unreasonable searches and seizures.

Option B, "A crime", is incorrect because the presence of a crime is not a prerequisite for conducting a search and collection of evidence. There are various situations where searches and evidence collection may occur without a crime being involved, such as regulatory inspections, consented searches, or investigations into potential threats or risks.

By your logic when you say law enforcement can conduct a search without a search warrant if there is consent by the owner, that would mean option A would be right, but of course, it's not.

Answer:

  B

Step-by-step explanation:

You want to know whether circle A with a diameter of 1 foot is larger or smaller than circle B with a circumference of 1 meter.

The circumference of circle A is ...

  C = πd

  C = π(1 ft) = π(1 ft)×(0.3048 m)/(1 ft) = π(0.3048 m) ≈ 0.9576 m

The circle with a circumference of 1 m (circle B) is larger than the one with a circumference of 0.9576 m (circle A).

Answer:

The cost of the tip is $2.63

Step-by-step explanation:

First, we need to find the sales tax and 5% of 12.5 = 0.625

After that we need to add the tax to the original price which is 0.625 + 12.50 = $13.125

From that price we need to find 20% of it which is 0.20 x 13.125 = 2.625

Now we need to round that to the nearest cent which is 2.63

So, he paid $2.63 in tips.

Hope this helps :)

The solution of the quadratic equation (x - 3)² - 24 = 25 is x = 10, -4.

Given that the quadratic equation is (x - 3)² - 24 = 25

Expanding the left side of the equation, we get:

(x - 3)² - 24 = 25

Simplifying the above equation, we get:

x² - 6x + 9 - 24 = 25

Solving by combining like terms, we get:

x²  - 6x - 40 = 0

We can solve for x by factoring the quadratic equation:

(x - 10)(x + 4) = 0

Therefore, x can be equal to 10 or -4.

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Answer:

D

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form

with slope m = \(\frac{1}{2}\)

• Parallel lines have equal slopes , then

y = \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute (2, - 4 ) into the partial equation

- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )

- 5 = c

y = \(\frac{1}{2}\) x - 5 ← equation of parallel line

The value of the account after t years is A(t) = \(650(1.0072)^{12t}\)

The annual growth rate is 0.72%.

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.

Given, $650 is invested in an account earning 8.7% interest (APR), compounded continuously.

From the general formula of compound interest:

A = P(1 + r/n)^nt,

where P is the principal balance,

r is the interest rate,

n is the number of times interest is compounded annually, and

t is the number of years

In our case.

P = 650

r = 8.7

time = x

Thus,

A(x) = P(1 + 0.087/12)¹²ˣ

A(x) = 650( 1.0072)¹²ˣ

The value of the account after t years is A(t) = \(650(1.0072)^{12t}\)

Annual growth rate

1.0072 - 1 = 0.0072 = 0.72%

The annual growth rate is 0.72%.

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Answer:

Step-by-step explanation:

it would be "c" because the question asks for the number that makes the inequality true

4x≤ x+3

the graph in c is saying that every number that is 1 or less than 1 makes the inequality true. so lets take -7 as an example

4 x -7=-28

-28+3=-25

-25 is greater than -28 so the inequality is true. the reason why graph d doesnt work is because if we plug in 2 into the equation, then 4x =8 and x+3=5

5 is not greater than 8 so it doesnt work

Answer:

12

Step-by-step explanation:

(6+24÷3)−2

  (6+8)−2

      14−2

        12

Answer:

12

Step-by-step explanation:

The area is:

A = (θ/2)*R^2

The circumference is:

C = θ*R

And the area of the circle when the angle is π/4 is: 39.25 cm^2

For a circle of radius R, the area is:

A = pi*R^2

where pi = 3.14

And the circumference is:

C = 2*pi*R

Now, remember that a circle has an angle of 2pi radians, then if we only define an arc in the circle, defined by an angle θ, the area of said arc will be:

A = (θ/2pi)*pi*R^2 = (θ/2)*R^2

And the circumference is:

C = (θ/2pi)*2pi*R = θ*R

Now, we want to find the area when the circle has a radius R = 10cm and θ = pi/4

Replacing that in the area equation, we get:

A = (pi/4/2)*(10cm)^2 = (3.14/8)*(10cm)^2 = 39.25 cm^2

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16 boxed lunch cost $187.2.

Given that a company orders 20 boxed lunches from a deli for $234.00.

Each boxed lunch costs the same amount.

20 boxed lunches from a deli for $234

1 boxed lunches from a deli for $234/20 = $11.7

Hence the cost of 16 boxed lunch is = $11.7*16 = $187.2

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Answer:

Step-by-step explanation

To start in point-slope form,

y = mx + b

3 = 1/2(-2) + b

3 = -1 + b

so b = 4

Point-slope equation is y = (1/2)x + 4

In Standard form,

Ax+Bx = c

first multiply both sides of your equation by 2

2y = x + 8

substract x from both sides

Standard form equation is 2y - x = 8