Find the equation of the line passing through the points (8,-16) and (1,5)

Answer:

first side = 17 ft

second side = 28 ft

third side = 26 ft

Step-by-step explanation:

a + b + c  = 71

b = a + 11

c = 2a - 8

a = first side lenght

b = second side lenght

c = third side lenght

a + (a+11) + (2a-8) = 71

4a + 11 - 8 = 71

4a + 3 = 71

4a = 71 - 3

4a = 68

a = 68/4

a = 17

b = a + 11

b = 17 + 11

b = 28

c = 2a - 8

c = 2*17  -  8

c = 34 - 8

c = 26

Check:

17 + 28 + 26 = 71

Answer:

first side = 17 ft

second side = 28 ft

third side = 26 ft

Step-by-step explanation:

a + b + c  = 71

b = a + 11

c = 2a - 8

a = first side lenght

b = second side lenght

c = third side lenght

a + (a+11) + (2a-8) = 71

4a + 11 - 8 = 71

4a + 3 = 71

4a = 71 - 3

4a = 68

a = 68/4

a = 17

b = a + 11

b = 17 + 11

b = 28

c = 2a - 8

c = 2*17  -  8

c = 34 - 8

c = 26

Check:

17 + 28 + 26 = 71

Answer:

The inequalities are;3x+y>2,3y<9,4x+y=2and 3y<2m

The rectangle is 13 units long by 6 units wide.

Area = Length x width

Area = 13 x 6  = 78 square units.

Answer:

4.9

Step-by-step explanation:

3.43/0.7

34.3/7=49

3.43/0.7=4.9

The value of x is approximately 4.9 when 0.7 (70%) of x is equal to 3.43.

We are given that 0.7 (which is the same as 70%) of a certain value (x) is equal to 3.43.

We represent "0.7 of x" as 0.7x.

So, the equation becomes:

0.7x = 3.43

To find the value of x, we need to isolate it on one side of the equation. To do this, we can divide both sides of the equation by 0.7:

(0.7x) / 0.7  = 3.43 / 0.7

The 0.7 on the numerator and denominator cancel out, leaving us with just x:

x = 3.43 / 0.7

Now, we perform the division:

x = 4.9

The value of x is approximately 4.9.

Hence, when 0.7 (70%) of 4.9 is calculated, it will be approximately equal to 3.43.

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ4

No, it is not. This is because there is only one variable, instead of two.

Answer:

NO

Step-by-step explanation:

there are no corresponding points at all only a useless y intercept.

Answer:

It is 3 ( i think )

Step-by-step explanation:

Answer:

$50 per ticket.

Step-by-step explanation:

Although it is tempting to keep raising the price for a higher profit, if you raise the price by too much, people will stop buying tickets and you will not gain as much money as you could have gotten with, say, $50 per plate.

The more you raise the price, the less tickets you can sell.

Hope this helps!

Answer:

6

Step-by-step explanation:

The easiest way of solving this is to divide 8% of the number into a % that is divisible by 12.

This is 4%.

So if 8% of the number is 4, then 4 percent is half of 4, that is 2.

Now we convert 4% into 12% thus making it 6

Hope this helps

A more complicated way of doing this, but most reliable is to work out what the number is .

For now let number be y.

8/100 x y = 4

8y/100 = 4

8y= 400

y = 50.

Now calculate 12% of 50.

This is

12/100 x 50 = 6

Hope this helps.

Answer:

x=9

Step-by-step explanation:

Let total bundle=x

Morning edition of the daily sun=1/3x

=x/3

Afternoon edition of the daily sun=2

That leaves 2x/3 - 2, of which

x/3 - 1 are regional

1 is local

1 from another state

Sum everything

x = x/3 + 2 + x/3 - 1 + 1 + 1

x=2x/3 +3

x-2x/3=3

3x-2x/3=3

x/3=3

Cross product

x=3×3

x = 9

Answer:

PQO and STQ

Step-by-step explanation:

When two lines are crossed by another line (called the Transversal)

The angles in matching corners are called Corresponding Angles.

When the two lines being crossed are parallel lines the corresponding angles are equal.

Answer:

Option (A)

Step-by-step explanation:

From the graph attached,

y ≤ [tex]-\frac{1}{3}x+3[/tex]

This inequality representing the dark line having y-intercept as 3 will have the solution area represented by the shaded region below the line (b and C)

Another inequality, y ≥ 3x + 2 representing a dark line having y intercept 2.

This inequality will have the solution area represented by shaded region on the left of the line (A and D)

Therefore, solution to the system of inequalities will be the common area (D).

Option (A) will be the answer.

Answer:

24 times

Step-by-step explanation:

cone is used to fill cylinder

conevolume times x=cylindervolume

so

x=cylinderv/conev

cylinderv=hpir^2

conevolume=1/3hpir^2

cylinder:

v=hpir^2

r=10

h=20

v=20*pi*10^2=2000π

cone=1/3hπr²

r=5

h=10

v=1/3(10)π5²=250π/3

volume of cylinder ÷ volume of cone

= 2000π ÷ (250π÷3)

= 6000π ÷ 250π

= 600÷25

= 24

please mark me brainliest

Answer:

14cm

Step-by-step explanation:

You divide 378 from 27

Answer:

I hope it will help you ...

Answer: 108 units squared

Step-by-step explanation:

24 x 1 = 24

7 x 24 = 168

168 / 2 = 84

84 + 24 = 108

The answer is 108 units squared

Answer:

21/20, or 1.05.

Step-by-step explanation:

In this case, the measure of angle R is the same as angle V.

To find the tangent of a triangle, you do opposite over adjacent.

So, the tangent of angle V is 21 / 20.

That means that tan(R) = 1.05.

Hope this helps!

Hey there! :)

Answer:

m∠2 = 135°.

Step-by-step explanation:

∠1 and ∠2 are supplementary angles, meaning that they both sum up to 180°. Therefore:

m∠2 = 180 - m∠1

m∠2 = 180 - 45

m∠2 = 135°.

Answer:

9√2

Step-by-step explanation:

Easiest and fastest way is to plug it into a calc and calculate. If not, you will have to simplify the expressions to have a common root in order to add.

Answer:

Option C is the correct option.

Solution,

[tex] \sqrt{8} + 3 \sqrt{2} + \sqrt{32} \\ = \sqrt{2 \times 2 \times 2} + 3 \sqrt{2} + \sqrt{2 \times 2 \times 2 \times 2 \times 2} \\ = 2 \sqrt{2} + 3 \sqrt{2} + 2 \times 2 \sqrt{2} \\ = 2 \sqrt{2} + 3 \sqrt{2} + 4 \sqrt{2} \\ =( 2 + 3 + 4 )\sqrt{2 } \\ = 9 \sqrt{2} [/tex]

Hope this helps...

Good luck on your assignment..

Answer:

9,40,41

Step-by-step explanation:

Answer:

C. 9,40,41

Step-by-step explanation:

The last number in any answer is always the hypotenuse and that is what u will use, because according to the formula:

hypotenuse² = opposite²+adjacent² so;

41²=40²+9²

1,681 = 1600 + 81

1,681 = 1,681

so it is balanced and that means the answer is ✅

Answer:

y=1/2x+1

Step-by-step explanation:

You can use the equation (y1-y2)/(x1-x2) to find the slope of the line with the given points. You put your y-values on top and x values on bottom, subtracting them to get 3-1/4-0. Then you simplify to get 2/4 or 1/2 as the slope. You then get y=1/2x+b. You can use one of the given points as x and y to solve for b. using (0,1) as x and y you get the equation 1=1/2(0)+b, after multiplying you get 1=0+b, or 1=b. Now that you have b you can make the equation, y=1/2x+1.

Answer:

34%

Step-by-step explanation:

According to the empirical rule, 68% of all of the data in a normal distribution falls within one standard deviation of the mean.

Applying to this particular case, 68% of the requests fall within (50 - 7) and (50+ 7). The percentage of requests from 43 to 50 is equal to the percentage of requests from 50 to 57.

Therefore, the percentage of light bulb replacement requests numbering between 50 and 57 is 68/2 =  34%.

Answer:

The coordinates of point M is -0.375.

Step-by-step explanation:

Given that point A = -6 and point B = 3

Point M divides line segment AB in the direction from A to B in the ratio of 5 to 3 we have;

Length from A to M = 5/(5 + 3) × Length of segment AB

Given that length of segment AB = 3 - (-6) = 3 + 6 = 9, we have;

Length from A to M = 5/8 × 9 = 45/8 = [tex]5\frac{5}{8}[/tex] = 5.625

Therefore, the coordinates of M = -6 + 5.625 = -0.375 = -3/8

The coordinates of point M = -0.375.

Answer:

Median=3, Mean=2.333

Step-by-step explanation:

Answer:

3 1/3 cups of flour

Step-by-step explanation:

20/4 = 5

20 servings is 5 times 4 servings, so you need 5 times the amount of ingredients.

5 * 2/3 = 10/3 = 3 1/3

Answer: 3 1/3 cups of flour

Answer:

3 1/3 cups of flour is your answer.

Answer:

15

Step-by-step explanation:

1 is neither prime nor composite

2 is the smallest prime

3 is the next smallest prime

5 is the next smallest

but 2,3,5 do not make a triangle

The third side must be smaller than the sum of the other two

2+3 <5 not equal to

7 is the next prime

3,5,7 are the three sides of the triangle

P = 3+5+7

P = 15

Answer:

x=-27

Step-by-step explanation:

To solve this equation, we need to find out what x is. Therefore, we must get x by itself.

x/3= -9

x is being divided by 3. We want to perform the inverse operation, which is multiplication. Multiply both sides of the equation by 3.

3*(x/3)=-9*3

x= -9*3

x=-27

Let’s check out solution. Plug -27 back in for x.

x/-3= 9

-27/-3=9

9=9

This checks out, so we know our solution, x= -27, is correct.

Answer: The game reserve’s investment in the clinic has the power to transform the rural South African community shown in the video. The game reserve is an important source of income for the community. The money from the reserve benefits the community by facilitating the building of infrastructure, such as schools and child-care facilities. These operations in turn generate employment.

The game reserve and the schools require a workforce and human capital. However, the workforce in the rural area is vulnerable to deadly diseases because of the HIV epidemic and poor sanitation. By investing in a mobile clinic and giving free medical treatment to those in the community, the game reserve can nurture its human capital and extend life expectancy in the area. If people are healthy and educated, they can work, be productive, and participate in community development. By protecting the workforce from death and disease, the game reserve can drive economic growth.

Step-by-step explanation:

Answer:

The investment for the game reserve is in the center and has the ability to change the country, South African people group appeared in the video. The game hold is a significant type of revenue for the local area. The cash from the hold benefits the local area by encouraging the structure of framework, for example, schools and kid care offices. These activities thus produce business.  

The game reserve and also schools require a labor force and human resources. Notwithstanding, the labor force in the country territory is defenseless against destructive sicknesses due to the HIV pandemic and helpless disinfection. By putting resources into a portable facility and giving free clinical treatment to those locally, the game hold can support its human resources and broaden future nearby. On the off chance that individuals are sound and taught, they can work, be beneficial, and partake in local area improvement. By shielding the labor force from death and infection, the game hold can drive financial development.

Step-by-step explanation:

Answer:

45 + 35x

Step-by-step explanation:

To simplify

multiply the outside number by the inside

also, the negative and the negative multiply together to make a positive number.

Answer:

35x + 45

Step-by-step explanation:

-5(-9 - 7x)

Distribute or expand the brackets.

-5(-9) - 5 (-7x)

45 + 35x

Answer:

300%

Step-by-step explanation:

Let the production of rice in 1995 be x.

From 1995 to 1996, the production increased by 50%

This implies that the production of rice is now:

(100 + 50) / 100 * x = 150/100 * x = 1.5x

It means the production is now 1.5 that of 1995.

We want the production in 1997 to be 6 times that in 1995, that is 6x, this implies that we have to find the percentage increase from 1996 to 1997:

(100 + P) / 100 * 1.5x = 6x

By cross-multiplying:

100 + P = 6x * 100 / 1.5x

100 + P = 400

P = 400 - 100

P = 300%

Therefore, the production must be increased by 300%.