WILL MARK BRAINLEST
Phil is riding his bike. He rides 25 miles in 2 hours,37.5 miles in 3 hours, and 50 miles in 4 hours.Find the constant of proportionality and write anequation to describe the situation.

Answer:

x = 1, x = -19

Step-by-step explanation:

1) factorise

(x−1)(x+19)=0

2) equal to 0

x−1=0 or x+19=0

x=1 or x=−19

Answer:

[tex]x = 1[/tex]

[tex]x = 19[/tex]

Step-by-step explanation:

Set up equation

[tex] {x}^{2} + 18x - 19 = 0[/tex]

Add 19 on both sides

[tex] {x}^{2} + 18x = 19[/tex]

Divide 18 by 2 and sqr it.

[tex]( \frac{18}{2}) {}^{2} [/tex]

[tex] {9}^{2} = 81[/tex]

Add 81 on both sides

[tex] {x}^{2} + 18x + 81 = 100[/tex]

Using the AC method, isolate the left side into a binomial.

[tex](x + a)(x + b)[/tex]

that a and b can be added to equal 18 and be multiplied to equal 81.

Only number that does that is 9. 9+9=18, 9×9=81

[tex](x + 9)(x + 9)[/tex]

[tex](x + 9) {}^{2} [/tex]

Set up equation

[tex](x + 9) {}^{2} = 100[/tex]

Take sqr root of both sides

[tex]x + 9 = 10[/tex]

Since sqr root of a positve number can be negative, set up this equation also

[tex]x - 9 = 10[/tex]

[tex]x = 1[/tex]

OR

[tex]x = 19[/tex]

Answer:

Step-by-step explanation:

5. angle FDE = 180-90-63 = 27°

 arc FE = 2×27 = 54°

6. arc GJ = 360-68-31-115 = 146°

 angle GHJ = 146/2 = 73°

7. angle GIJ = 146/2 = 73°

8. arc DAB = 2×101 = 202°

 arc BCD = 360°-202 = 158°

 angle A = 158/2 = 79°

 angle B = 360-79-110-68 = 112°

10. see picture

5) The sum of angle in the triangle DEF is 180 degrees

mFE = <D

Recall that <D+<E+<F = 180⁰

<D+63+90 = 180

<D = 180-153

<D = 27 degrees

Hence the measure of arc FE is 27degrees

6) For this circle geometry, we will use the theorem

The sum of Opposite side of a cyclic quadrilateral is 180 degrees.

A + C = 180

m<A + 101 = 180

m<A = 180-101

m<A = 79degrees

Similarly

B + D = 180

m<B + 68 = 180

m<B = 180-68

m<B = 112degrees

7) The sum of angle in a circle is 360, hence;

arcGJ+68+31+115 = 36p

arcGJ = 360 - 214

arcGJ = 146⁰

Since the angle at the centre is twice angle at the circumference, then;

<GHJ = 1/2 arcGJ

<GHJ = 1/2(146)

<GHJ = 73⁰

<GHJ = <GIJ = 73⁰ (angle in the same segment of the circle are equal)

8) Recall that the sum of Opposite side of a cyclic quadrilateral is 180 degrees.

P + R = 180

57 + <R = 180

m<R = 180-57

m<R = 123degrees

Similarly, m<Q+m<S = 180⁰

Since the triangle in a semi circle is a right angled triangle, hence m<Q = 90 degrees (triangle PQR is a right angled triangle)

m<S = 180 - 90

m<S = 90 degrees

Learn more here: brainly.com/questions/11325504

Answer:

≈ 13.33 years

Step-by-step explanation:

The population of Frisco ISD after t years is given by the following equation:

[tex]y(t) = 46000(1.06)^{t}[/tex]

How many years will pass until the population of Frisco ISD is at 100,000 students?

This is t for which [tex]y(t) = 100000[/tex]. So

[tex]y(t) = 46000(1.06)^{t}[/tex]

[tex]46000(1.06)^{t} = 100000[/tex]

[tex](1.06)^{t} = \frac{100000}{46000}[/tex]

[tex]\log{(1.06)^{t}} = \log{\frac{100000}{46000}}[/tex]

[tex]t\log{1.06} = \log{\frac{100000}{46000}}[/tex]

[tex]t = \frac{\log{\frac{100000}{46000}}}{\log{1.06}}[/tex]

[tex]t = 13.33[/tex]

So the answer is ≈ 13.33 years

where is the question I dont see it

Answer:

35°

Step-by-step explanation:

Complementary angles has a sum of 90°

m<A + m<B = 90°

2x + 23 + 4x -29 = 90° add like terms

6x - 6 = 90° add 6 to both sides

6x = 96 divide both sides by 6

x = 16 now replace the x in m<B = 4x - 29 with 16

4×16 - 29 = 35

Answer:

9

Step-by-step explanation:

She bet 9 each time, you can find this by doing 27 ÷ 3 :)

Answer:

she bet $9 each time and x is the number of bets

Step-by-step explanation:

27/3=9

$9 per bet

9x

x=number of bets

The number of oranges in the shipment can the manager predict weighing 5 ounces would be; 56.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inversely proportional, can be built to find the desired measures in the problem.

Given that a grocery store receives a shipment of 700 oranges the manager randomly selects 25 oranges to weigh in that sample 2 oranges weigh 5 ounces.

Now set up a proportion;

2/25 = (x)700

Cross multiplication;

700(2)= 25(x)

1400/25=x

x=56

Therefore, the number of oranges in the shipment can the manager predicts weighing 5 ounces would be; 56.

More can be learned about proportions at;

brainly.com/question/24372153

#SPJ2

Answer:

14

Step-by-step explanation:

You just multiply 2 to (x + 7) which gets you 2x + 14 and then subtract 2x from 2x seeing as they are like terms and you end up with 14.

Answer:

Step-by-step explanation:

Answer:

Joint probability table :

_____ A _____ A'

_ Y_ 0.45 ___ 0.30

_ Y'_ 0.05___ 0.20

No

No

Step-by-step explanation:

Given :

Sample, size n = 500

A = driver is under the influence of alcohol :

Y = driver is less than 30 years old

P(A) = 275 / 500 = 0.55

P(Y) = 375 / 500 = 0.75

P(AnY) = 225 / 500 = 0.45

P(YnA') = (1 - 225/375)*0.75 = 0.4 * 0.75 = 0.30

Joint probability table :

_____ A _____ A'

_ Y_ 0.45 ___ 0.30

_ Y'_ 0.05___ 0.20

To determine if it is mutually exclusive : P(AnY) = 0

P(AnY) = 0.45 ; hence, it is not mutually exclusive

For A and Y to be independent ; P(A|Y) = P(A) ;

P(A|Y) = P(AnY) / P(Y)

P(A|Y) = 0.45 / 0.75 = 0.6

Hence, A and Y are not independent.

Answer:

Milligram

Step-by-step explanation:

milligram b/c kilogram and gram are too big of a mass measurement for a strand of hair and meter does not measure the mass of the strand of hair it could measure the length

Answer: c

Step-by-step explanation:

Answer:

i think it's -2, -14 quardrant 2

Step-by-step explanation:

Answer:

trees

Step-by-step explanation:

Trees are renewable resources. Trees can be planted, grown up, and harvested for timber. Forests are a different thing, however. A forest is a mature ecosystem.

Trees are renewable resource.

Option D is correct.

A renewable resource is one that can replace itself spontaneously over time. As a result, despite human usage, it is sustainable.

Renewable resources are particularly important because of their potential to replace non-renewable, or finite, resources in energy production. Furthermore, renewable resources can provide cleaner energy solutions than nonrenewable resources such as coal and fossil fuels.

Coal, gemstones, and metals are considered as non-renewable resources since they can be exhausted and are not available for lengthy periods of time. They are used as time goes on.

Thus, Trees are Renewable resources.

learn more about Renewable resources here:

brainly.com/question/1757778

#SPJ7

Answer:

60

Step-by-step explanation: will from the other two degrees added together then subtract from 180 and boom there's your answer

Answer:

x=8

Step-by-step explanation:

76+44=120

so to get the value of the remained angle subtract that from 180

180-120=60

so

8x-4=60 add 4 to both sides

8x=64 divide both sides by 8

x=8

Answer:

12

Step-by-step explanation:

Answer:

13: 40

Step-by-step explanation:

as 650 ml is given

so 2l = 2000 ml

ratio = 650 / 2000

13/40

13:40

they are supplemen angles

Step-by-step explanation:

Part A: Let see what number we can multiply by 3 to get 13.5

[tex]3x = 13.5[/tex]

[tex]x = 4.5[/tex]

so our answer is 4.5

Part B : Set up the proportion

3 and 13.5 correspond with each other and the question mark side corresponds with the 9 cm side.

let x = the side we are trying to find

[tex] \frac{3}{x} = \frac{13.5}{9} [/tex]

Cross multiply

[tex]27 = 13.5x[/tex]

[tex]x = 2[/tex]

so our answer is 2.

Answer:

135 degrees

Step-by-step explanation:

45 is for half of the square so u would add 45+45+45 or 45x3. there is a half and 1 whole square.

Step-by-step explanation:

135 is the I g

forgot how to spell it but yeah

Answer:

EF = 3.3 ft

Step-by-step explanation:

cos 6 = 3.3/EF

0.9945 = 3.3/EF

EF = 3.32 ft

Answer:

3(4g-4)<-6(-3g+4)

Answer:

[tex]26 {x}^{6} - 18 {x}^{2} {y}^{4} - 27 {x}^{4} {y}^{2} [/tex]

Step-by-step explanation:

click the link for alot more explanation, I'm tried typing

https://photomath.net/s/l5LVxj

Answer:

B

Step-by-step explanation:

Answer:

You have to 300-112.4 which equals 187.6

and that is your answer!

Step-by-step explanation:

Answer:

6,7,7 is your answer

6.

3x+2=2x+8

x=6

Step-by-step explanation:

7.14x+12+10x=180

24x=180-12

x=168/24=7

8.9x-3=7x+11

9x-7x=11+3

2x=14

x=14/2=7

Answer:20

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

226 1/8

Step-by-step explanation:

Substitute the measurements of the container into the formula.

The amount of cardboard Rajek can fit in the container at one time is  cubic feet.

The total surface area of the container is 9L + 9W + 50 1/4

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

To find the total amount of cardboard that can fit in the container at one time, we need to find the surface area of the container.

The container has a rectangular base with an area of 50 1/4 square feet.

Let's assume the length of the base is L and the width is W.

We know that:

L x W = 50 1/4

We also know that the height of the container is 4(1/2) feet, which is equivalent to 9/2 feet.

The container has two identical sides, which are rectangles with a length of L and a height of 9/2 feet.

The surface area of one side is:

L x (9/2) = (9/2)L

The container also has two identical ends, which are rectangles with a width of W and a height of 9/2 feet.

The surface area of one end is:

W x (9/2) = (9/2)W

Finally, the container has a top, which is a rectangle with a length of L and a width of W.

The surface area of the top is:

L x W

To find the total surface area of the container, we add up the surface area of each of these parts:

Total surface area = 2(L x (9/2)) + 2(W x (9/2)) + (L x W)

Simplifying this expression, we get:

Total surface area = 9L + 9W + LW

We know that L x W = 50 1/4, so we can substitute this into the equation:

Thus,

The total surface area of the container is 9L + 9W + 50 1/4

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ2

Answer: B 7/14

Step-by-step explanation: