Alexis surveys a random sample of 80 students at his school and finds that 22 of them
usually walk to school. There are 1,760 students at the school. Predict the number of
students who usually walk to school.

Answer:

[tex] \displaystyle \angle2 = {49}^{ \circ} [/tex]

Step-by-step explanation:

remember that,

if a side of a triangle is extended then exterior angle so formed equal to the sum of the two opposite interior angles

thus our equation is

[tex] \displaystyle \angle2 + {86}^{ \circ} = {135}^{ \circ} [/tex]

cancel out 86° from both sides:

[tex] \displaystyle \angle2 = {49}^{ \circ} [/tex]

hence,

the measure of the missing angle is 49°

Answer:

Solution given'

<2+45+86=180°[sum of interior angle of a triangle]

<2=180-131

<2=49°

Answer:

6

Step-by-step explanation:

Answer:

There would be 6 gallons.

Step-by-step explanation:

Within a gallon, there are 8 pints. With this in mind, create a ratio of gallons to pints to solve the problem

Gallons : Pints

1 : 8

If we were to have 48 pints, there would therefore be 6 gallons, as 48/6 --> 8

Gallons : Pints

6 : 48

Answer:

I think (b.)154.5cm²is the answer

Answer:

1

Step-by-step explanation:

Answer:

72 hot chocolates

Step-by-step explanation:

2h + 3g=306 equation 1 h=hot chocolate g=Gatorade

h + g =126. equation 2

h=126-g isolate h in equation 2

2(126-g) + 3g =306 substitute h value of equation 2 (126-6) into h value eq 1

252-2g+3g=306

g=54

solve for h:

h + g = 126

h+54=126

h=72

check answer:

2h + 3g=306

2(72) +3(54)=306

144+162=306

306=306

Answer:

Present age of Juna = 10 years

Present age of Jubin = 16 years

Step-by-step explanation:

Ratio of present ages = 5: 8

Let the present ages of:

Juna be 5x years and Jubin be 8x years

(where x is the common multiplier of the given ratios)

Four years after:

Juna's age = (5x + 4) years

Jubin's age = (8x + 4) years

According to the question:

(5x + 4) + (8x + 4) = 34

13x + 8 = 34

13x = 34 - 8

13x = 26

x = 26/13

x = 2

5x = 5*2 = 10 years

8x = 8*2 = 16 years

Hence,

Present age of Juna = 10 years

Present age of Jubin = 16 years

9514 1404 393

Answer:

Step-by-step explanation:

The measure of an arc of a circle is the same as the measure of the central angle it subtends. That is, arc RS has the same measure as central angle RPS, which is marked as 100°.

Of course, the total of all central angles, hence all arcs, of a circle is 360°. A diameter of a circle cuts the circle in half, so each semicircle has a central angle measure and arc measure of 180°.

Any arc that is more than a semicircle is called a "major" arc. If it is less than a semicircle, it is a "minor" arc. Arcs RS and ST are minor arcs.

As always in geometry, the whole is the sum of the parts, so arcs RS and ST are supplementary. They total the measure of semicircle RST, which is 180°. Then ST = 180° -RS = 180° -100° = 80°.

__

Additional comment

Usually, an arc identified only by its end points is a minor arc. If the major arc is intended, then it will either be described as "major arc RS" or a point on the major arc will be given, as "arc RTS". The measure of arc RTS is 280°.

Answer:

20 days

Step-by-step explanation:

40 feet - 35 feet is 5 feet needed to rise

5 x 12 (inches per foot) =60 inches

60 divided by 3 = 20 days

Answer:

36 pie cubic inches

Step-by-step explanation:

Use the formula: [tex]V = \frac{4}{3} \pi r^{3}[/tex]

Plug in the value for radius and solve:

[tex]V = \frac{4}{3} \pi 3^{3}[/tex]

Becuase of the nature of the answer options, you only have to solve to a certain point: [tex]V = 36 \pi[/tex]

By solving for x you get x=6

Answer:

x = 6

Step-by-step explanation:

12x = 72

72/12 = 6

x = 6

Answer:

3/12

Step-by-step explanation:

Hope it helps plz give brainliest! :D

Answer:

domain: {x ≠ 0}

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

This is a vertical line.

Vertical lines are of the form x=  since the x value does not change

x=3

Answer:

it will take him 30 weeks

Step-by-step explanation:

2 weeks = 1 kilogram lost

105-90=15

1 x 15 = 15

2 x 15 = 30

Step-by-step explanation:

let number be x

16x = 14 + x

16x - x = 14

15x = 14

x = 14 ÷ 15

x = 0.9

Answer:

Umm why don't you write the question properly first?

Answer: m=1/8h

Step-by-step explanation:

When writing a linear equation, the slope is always rise over run. When it rises (goes up) 1, it runs (goes to the side 8. So the slope is 1/8. There is no y intercept because the line passes through (0, 0). The equation is m= because the amount of money earned equals 1/8h.

The multiplicative rate of change of the function will be 2/3. Then the correct option is B.

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as,

y = a(b)ˣ

At (1, 6), then we have

6 = a(b)¹

6 = ab             ...1

At (2, 4), then we have

4 = a(b)²

4 = ab             ...2

Divide equation 2 by equation 1, then we have

ab² / ab = 4 / 6

b = 2 / 3

The multiplicative rate of change of the function will be 2/3. Then the correct option is B.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ7

Answer:

1,832.4

Step-by-step explanation:

To find the base you multiply the radius by itself to pi. Then you multiply that by the height. The next step would be to divide that by 3.

Answer:

x = 10

MB = 16

CM = 16

CB = 32

Step-by-step explanation:

Since it's the mispoint

2x - 4 = x + 6

Subtract x from both sides

x - 4 = 6

Add 4 to both sides

x = 10

MB = 2x - 4

MB = 20 - 4

MB = 16

CM = x + 6

CM = 16

CB = 16 + 16

CB = 32

Answer:

Diameter = 8 ft

Step-by-step explanation:

To find diameter, we need to work backwards from the formula for circumference of a circle.

Circumference = 2πr

given that π = 3.14

Circumference = 2*3.14*r

25.12 = 2*3.14*r

25.12 = 6.28 * r

4 = r

Radius = 4

Formula for Diameter =

D = 2r

D = 2*4

D = 8

Diameter = 8

Lets Check

Circumference = 2 * 3.14 * 4

Circumference = 25.12

Correct

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Initial investment (P)= $5,000

Interest rate (r)= 5% simple interest

Number of periods (t)= 7 years

To calculate the interest earned, we need to use the following formula:

I= P*r*t

I= 5,000*0.05*7

I= $1,750

To calculate the future value of the investment, we need to use the following formula:

FV= I + P

FV= 1,750 + 5,000

FV= $6,750

Answer:

Step-by-step explanation:

Step-by-step explanation:

to find area

A=Pi x r^2

r = d/2 = 6/2 = 5

to find circumference

u=2 pi r

r=5

Answer:

Angle COD=40

Step-by-step explanation:

(2a+62)+ (54-a)+(5a-20)=180

6a+96=180

6a=84

a=14

Angle AOC=2(14)+62=90

Angle COD=54-14=40

Angle DOB=5(14)-20=50

Answer:

Angle COD, 40 degrees

Step-by-step explanation:

Alrighty, to start, Angle AOB is a 180 degree angle because it is a line.

Therefore, if we combine all of the variables and numbers together, we can set it equal to 180 degrees to find a.

2a+62+54-a+5a-20

6a+96=180

6a=84

a=14

Next, plug in this value into each of the given angles provided with variables and numbers:

Angle AOB:

2a+62

2(14)+62

28+62

90 degrees

Angle COD:

54-a

54-14

40 degrees

Angle DOB:

5a-20

5(14)-20

70-20

50 degrees

From this, it can be found that Angle COD has the smallest angle, with it being 40 degrees.

Answer:

The directed number suggested is +3.

Step-by-step explanation:

A directed number is one that has either a positive or negative sign, so that it could be easily located on the number line. Thus, the sign shows the direction of the number. Examples are: -2, -1, +5, +6 etc.

From the given question, let the initial weight be represented by W, then:

I gained 3 pounds implies at that; 3 pounds was added to my initial weight. Thus, my present weight is my initial weight + 3 pounds.

i.e I gained 3 pounds ⇒ W + 3

So that the directed number suggested by the statement is +3.

The answer is 31

Step-by-step explanation:

A = 1/2 bh

279= 1/2b x 18

558 = 18b we divided both side by 18

b=31

Answer:

B

Step-by-step explanation:

Its really not hard. Just look at the chart. Find the 96 in the chart. What is it under? Flowers ordered. Which flower? Petunias. So its B. I'm sure you could have figured that out on your own. Not being rude, just telling you.