A road starts at sea level and climbs steadily, reaching an elevation of 2000 feet after 8 miles, as shown in the diagram.
8 mi
5 mi
2000 ft
Note: Figure is not drawn to scale.
What is the elevation in feet of the road 5 miles from the starting point?
A. 1000
B. 1250
C. 750
D. 1500

Answer:

43°

Step-by-step explanation:

1. You need to create an equation: 3c+64+5c+82=90°

(Why 90°?)- this is a right triangle as you can see the little square

2. Then combine like terms

8c+146=90°

3. Subtract 146 from both sides

4. 8c=-56

5. Then divide 8 from both sides

C= -7

6. Then plug in -7 in 3c+64 and solve!

7. The final answer is 43

Answer:

x={2,3}

Step-by-step explanation:

√5x-6=x

5x-6=x^2

x^2-5x+6=0

x^2-3x-2x+6=0

(x^2-3x)-(2x-6)=0

x(x-3)-2(x-3)=0

(x-2)*(x-3)=0

x-2=0

x=2

x-3=0

x=3

Answer:

The answer choice is D.4-10i

Answer:

D 4 - 10i

Step-by-step explanation:

Answer:

I believe is 3 4/6

Step-by-step explanation:

22/5  : 6/5

22/5 * 5/6

22/6

11/3

3 4/6

Answer:

11/3 or 3and2/3

Step-by-step explanation:

To change a mixed number into a fraction, you multiply the whole number by the denominator and add it to the numerator.

4 and 2/5 = 22/5

1 and 1/5 = 6/5

To divide fractions, flip one upside down and then multiply top by top, bottom by bottom

(22/5) / (6/5) = (22/5) x (5/6) = (22x5)/(5x6) = 110/20 = 11/3 or 3and2/3

Answer:

(-5x - 2)(8x - 5)

I hope this helps!

Answer:

The answer is attached!

Step-by-step explanation:

But, to find the relative frequencies you will have to find the total number of responses, which is 143.

Then you will go to each box and divide the number given by the total number of response. I will show you each box below:

[tex]\frac{62}{143} = .43\\\\\frac{32}{143} = .22\\\\\frac{29}{143} = .20\\\\\frac{20}{143} = .14[/tex]

(Note here that all these add up to exactly 1 when you don't round them, but I rounded them and they add up to .99)

Hope this helps!!

- Kay :)

Answer:

28

Step-by-step explanation:

4*7=28

Mark me as brainliest

Answer:

LCM of 4 and 7 = 28

hope you understood!

Answer:

b=6

Step-by-step explanation:

x=6

6+-2=4

2(6)+3(-2)=b

2x6=12

3x-2= -6

12+ -6+=6

b=6

Answer:

table B represents the linear equation which is:

[tex]y=-3x+11[/tex]

The graph of the linear function is also attached below.

Step-by-step explanation:

Given the table B values

x               y

0              11

1               8

2               5

3               2

As the equation for the linear function

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

As the y-intercept can be obtained by setting x=0

From the table, it is clear that when the value of x=0, then the value of

y=11.

so (0, 11) is the y-intercept.

Also taking two points (0, 11) and (1, 8) to find the slope

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:11\right),\:\left(x_2,\:y_2\right)=\left(1,\:8\right)[/tex]

[tex]m=\frac{8-11}{1-0}[/tex]

[tex]m=-3[/tex]

so substituting the value m=-3 and the point (1, 8) in the point-slope form

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

[tex]y-8=-3\left(x-1\right)[/tex]

[tex]y-8=-3x+3[/tex]

[tex]y=-3x+3+8[/tex]

[tex]y=-3x+11[/tex]

comparing the equation with the slope-intercept form of linear equation

[tex]y=mx+b[/tex]

[tex]y=-3x+11[/tex]

here

Therefore, table B represents the linear equation which is:

[tex]y=-3x+11[/tex]

The graph of the linear function is also attached below.

Answer:

B

Step-by-step explanation:

Answer:

43.5

Step-by-step explanation:

Hope this helps! Consider Brainiest!

Answer:

43.5

Step-by-step explanation:

15%= 15/100

=0.15 × 290

= 43.5

Step-by-step explanation:

-4x - 28 = -4(x + 7) or 4(-x - 7)

Topic: Algebraic factorization

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer:

26

Step-by-step explanation:

Answer:

Step-by-step explanation:

- 100°

Answer:

x = 11

Step-by-step explanation:

16x = 176 is the problem

You bring the 16 over the the other side.

The equation changed.

x = 176 ? 16. You don't no the operation.

If the other side is number + variable,

it equals to division cause division is

the reverse operation.

That means, the equation changes again!

x = 176/16 Its easier to reduce cause its a

2+ number one.

176/16 reduced is 11

Answer:

60.5% chance

Step-by-step explanation:

it is 23/38, since there are 23 girls and 38 ppl in total

If three members are selected to lead the parade, 23/38 is  the probability that all three are girls.

It is a branch of mathematics that deals with the occurrence of a random event.

Given,

The number of students  involved in planning the homecoming parade are thirty eight 38.

Among these thirty eight students, there are fifteen number of boys 15 and Twenty three number of girls (23).

Given a condition that  If three members are selected to lead the parade,

We need to find the probability of all three girls.

The number of students =P(B)=38

The number of girls=P(A)=23

The probability of all three girls is P(A)/P(B)

23/38

Hence 23/38 is the probability that all three are girls.

To learn more on probability click:

https://brainly.com/question/11234923

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Answer:

Buddhism arose in the eastern part of Ancient India, in and around the ancient Kingdom of Magadha (now in Bihar, India), and is based on the teachings of Siddhārtha Gautama.

You need to to put every number of x in x of each equation

Answer:

I think its false

Step-by-step explanation:

the car went 8 second faster

Answer:

What does the vertical rectangle with intersecting lines in the shape of an "x" mean? A rectangle which has an X inside means there is a Unicode character or emoji that is meant to show there, but your system doesn't support it.

Step-by-step explanation:

go to google

Answer:

Please check the explanation.

Step-by-step explanation:

As an airplane travels 780 miles in 4 hours.

We need to determine the table and graph to show the mileage for 2,8 and 12 hours.

as

The airplane covers the distance in 4 hours: 780 miles

so

The airplane covers miles in 1 hour will be: 780/4 = 195 miles

Hence, the table can be calculated as:

Hours                             Distance Mileage in Miles

[tex]2[/tex]                                       [tex]2\times195\:=\:390[/tex] miles

[tex]8[/tex]                                       [tex]8\times195 = 1560[/tex] miles

[tex]12[/tex]                                     [tex]12\times195 = 2340[/tex] miles

It is clear from the table that it is a direct variation as the constant is 195 miles per hour.

Please check the attached graph. The graph clearly indicates a direct variation.

Answer:

3/4=n/8

Step-by-step explanation:

An equation to represent the given scenario is 3/4 = n/8. Therefore, option A is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, mix 3 liters of water with 4 lemons to make lemonade.

Let n be the number of liters of water mixed with 8 lemons.

So, an equation is 3/4 = n/8

3/1 = n/2

n=6

Therefore, option A is the correct answer.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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Answer:

25 = 10 + w

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Plz mark as brainliest!!!

Answer:

y = 8.25x

Step-by-step explanation:

Linear Modeling

Some events can be modeled as linear functions. If a situation comes where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

[tex]y=mx+b[/tex]

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Let's use linear modeling to represent Steven's earnings he makes babysitting. Call y the money he charges by x hours of work.

We know he charges y1=$33 for x1=4 hours, and y2=$57.75 for x2=7 hours. The ordered pairs are (4,33) and ( 7, 57.75)

Computing the equation of the line we have:

[tex]\displaystyle y-33=\frac{57.75-33}{7-4}(x-4)[/tex]

Operating:

[tex]\displaystyle y-33=\frac{24.75}{3}(x-4)[/tex]

[tex]y - 33 = 8.25( x - 4 )[/tex]

[tex]y = 8.25x - 33 + 33[/tex]

y = 8.25x

There is a proportional relationship.

Answer:

4

Step-by-step explanation:

46+4 = 50

50/5 = 10

Answer:

The slope is 4/60. Simplified is 1/15

Step-by-step explanation:

Rise over run :)

Answer:

2,350,000,000

Step-by-step explanation:

Answer:The number form of 2350 million is 2350000000. It can also be abbreviated as 2350M.

Step-by-step explanation: