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A boat travels at a rate of 30 miles per hour for 3.5 hours. Let y be the distance, in miles, the boat travels for a given amount of time, x, in hours. This situation can be modeled by a linear function. What is the domain of the function?

Question 11 options:

0≤y≤30

0≤y≤3.5

0≤x≤3.5

0≤x≤30

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex]\frac{2}{5} :\frac{3}{8}[/tex]

Step-by-step explanation:

First of all, answer both sides separately.

Find the value of x and simplify.

Find the value of y and simplify.

It is just like removing the variables.

Step-by-step explanation:

angle 5 = supplementary to 89 = 180-89 = 91°

the sum of all angles in a triangle is always 180°.

so,

angle 3 = 180 - 51 - 91 = 38°

angle 2 = complementary to 38 = 90-38 = 52°

therefore,

angle 1 = 180 - 38 - 52 = 90°

49.85% of buyers paid between 150,000 and 154,200

The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are are within three standard deviation from the mean.

Given that mean (μ) = 150000, standard deviation σ = 1400

68% are within one standard deviation = μ ± σ = 150000 ± 1400 = (148600, 151400)

95% are within two standard deviation = μ ± 2σ = 150000 ± 2 * 1400 = (147200, 152800)

99.7% are within three standard deviation = μ ± 3σ = 150000 ± 3 * 1400 = (145800, 154200)

The buyers who paid between 150,000 and 154,200 = 99.7%/2 = 49.85%

Hence 49.85% of buyers paid between 150,000 and 154,200

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15 students are yet to return for the face to face classes

Given the following parameters

Total number of students in Esteban's classroom = 28 students

If 45% of classmates have returned to face-to-face classes, the total number of classmates that have returned to face-to-face classes is 0.45 * 28 = 12.6

People that are yet to return  = 28 - 12.6

People that are yet to return  = 15.4

This shows that about 15 students are yet to return for the face to face classes

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Answer:

Answer:

Call the number we need to find a.

Inequality: (12 + a) ÷ 2 < 27

<=> 12 + a < 54

<=> a < 54 - 12

<=> a < 42

Answer:

2.5 glasses of water

Step-by-step explanation:

Answer:

he drank 2 and a half glasses of water

Step-by-step explanation:

all u have to do is add up 2 and 1/2 to see how much he drank in all

None, it is a binomial because it has 2 terms. The degree is 1.

Hope this helps friend~ ^^

Answer:

it now has 851 games left

Step-by-step explanation:

Answer:

$16.48

Step-by-step explanation:

Split this up into the four years.

For the first year, multiply 200 x .02 to get 4

Add 4 onto your total. ($204.00)

For the second year multiply 204 x .02 to get 4.08

Add 4.08 onto your total. ($208.08)

For the third year multiply 208.08 x .02 to get 4.1616 but round to 4.16

Add 4.16 onto your total ($212.24)

For the fourth year multiply 212.24 x .02 to get 4.2448 but round to 4.24

Add 4.24 onto your total (216.48)

Now subtract 200 from your total

216.48-200 = 16.48

She will be payed $16.48 in interest.

Answer:

7

Step-by-step explanation:

Answer:

x=12,y=-8

Step-by-step explanation:

7x=84

x=84/7=12

12y=7x-180=7*12-180=84-180=-96

y=-96/12=-8

The solution of 7x-12y=180 is x = 12 and y =-8.

An equation is made up of two algebraic expressions with the same value and the sign "=" in between.

Given, the equation;

7x-12y=180  {equation 1}

And 7x = 84

x = 84/7

x = 12

Substitute the value of x to the equation 1,

7(12) - 12y = 180

12y = 84 - 180

y = -96/12

y = -8

Therefore, x = 12 and y = -8 is the solution.

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Answer:

(x - 3) and (x - 2)

Step-by-step explanation:

Using the method of long division to divide the polynomial by x + 4

                   x² - 5x + 6

                 -------------------------------

x + 4   |  x³ - x² - 14x + 24

             x³ + 4x²

             ---------------------------

                  - 5x² - 14x + 24

                   - 5x² - 20x

              -------------------------------

                               6x + 24

                               6x + 24

                --------------------------------

                              0        0

The quotient is x² - 5x +  6 = (x - 2)(x - 3)

x³ - x² - 14x + 24 = (x - 2)(x - 3)(x + 4) ← in factored form

          |

Answer:

answer is 420-69

Step-by-step explanation:

because those numbers are great

Answer:

100 yes there are trust me

Answer:

1. 23

2. 32

3. 9

4. -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

-14x + 21y - 4.9 = 7*(-2x) + 7*3y + 7*(-0.7)

                        = 7*( -2x  +3y - 0.7)

-2x + 3(-5x + 1) = -2x - 15x + 3

                       = -17x + 3

-3x + 5(-8x - 1) = -3x  - 40x - 5

                       = -43x - 5

-4x + 5(-5x - 1) = -4x - 25x - 5

                       = -29x - 5

Answer:

[tex] \sqrt[6]{729} [/tex]

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Answer:

a = 16

Step-by-step explanation:

The median is the middle value of the data arranged in ascending order.

If there is no exact middle then the median is the average of the 2 values either side of the middle

a + 1 , 2a - 1 ,  a + 7 ,  3a + 4

                   ↑ middle

Then

[tex]\frac{2a-1+a+7}{2}[/tex] = 27 ( multiply both sides by 2 to clear the fraction )

3a + 6 = 54 ( subtract 6 from both sides )

3a = 48 ( divide both sides by 3 )

a = 16

Answer:

(1, 2 )

Step-by-step explanation:

x + y = 3 (subtract x from both sides )

y = 3 - x → (1)

2x - y = 0 → (2)

Substitute y = 3 - x into (2)

2x - (3 - x) = 0

2x - 3 + x = 0

3x - 3 = 0 ( add 3 to both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into (1)

y = 3 - 1 = 2

solution is (1, 2 )

Answer:

8.75lb

Step-by-step explanation:

pls mark brainliest :)

Answer:

m∠H = 10°

Step-by-step explanation:

ΔFGH is an isosceles triangle. I made a diagram, so m∠F ≅ m∠H by B.A.T(base angle theorem). This is because an isosceles triangle have to congruent sides and angles.

Diagram is attached:

-Chetan K

The detailed answer is in the images I have attached.

Hope it helps you...

Kindly mark as Brainlliest!!!

Answer:  52 boys

==================================================

Explanation:

g = number of girls

g+26 = number of boys because there are 26 more compared to girls

The ratio of boys to girls is 2:1, meaning g+26 is twice as large compared to g

number of boys = 2*(number of girls)

g+26 = 2g

26 = 2g-g

26 = g

g = 26

There are 26 girls and g+26 = 26+26 = 52 boys. Note how 52 is double that of 26.

Answer:

$63

Step-by-step explanation:

so we want to find 9/9 of her allowance, which is 100%

we could use a proportion:

let 'a' = full allowance

[tex]\frac{28}{1}[/tex] ÷ [tex]\frac{4}{9}[/tex] = [tex]\frac{a}{1}[/tex] ÷ [tex]\frac{9}{9}[/tex]

when we divide fractions we multiply by the reciprocal to get:

28 x 9/4 = a

a = 252/4

a = 63

Step-by-step explanation:

the essential thing to remember here (and please, burn this into your brain for life) : the sum of all angles in a triangle is always (really always) 180 degrees.

therefore, in 12 and 13 we only need to add all 3 angles, and their sum must be 180.

from there we get really all 4 answers.

the next thing to consider is when a triangle had two equal angles, then it is an isoceles triangle (the 2 sides leading away from these 2 angles are equally long). that gives us the answers for 14 and 15.

12.

3x + 18 + 7x - 58 + 2x - 8 = 180

12x - 48 = 180

12x = 228

x = 19

angle A = 3x+18 = 3×19 + 18 = 57+18 = 75 degrees

angle B = 7x-58 = 7×19 - 58 = 133-58 = 75 degrees

angle C = 2x-8 = 2×19 - 8 = 38 - 8 = 30 degrees

13.

8x - 17 + 19x + 4 + 5x + 1 = 180

32x - 12 = 180

32x = 192

x = 6

angle Q = 8x-17 = 8×6 - 17 = 48-17 = 31 degrees

angle R = 19x+4 = 19×6 + 4 = 114+4 = 118 degrees

angle S = 5x+1 = 5×6 + 1 = 30+1 = 31 degrees

14.

KL = 9x - 14

LM = 7x - 37

KM = 3x + 23

angle K = angle L

so, the sides LM and KM must be equally long. that gives us

7x - 37 = 3x + 23

4x = 60

x = 15

KL = 9x-14 = 9×15 - 14 = 135-14 = 121

LM = 7x-37 = 7×15 - 37 = 105-37 = 68

KM = 3x+23 = 3×15 + 23 = 45+23 = 68

15.

XY = 13x - 21

YZ = 8x - 6

XZ = x + 4

angle X = angle Z

so, the sides XY and ZY (or YZ) must be equally long. that gives us

13x - 21 = 8x - 6

5x = 15

x = 3

XY = 13x-21 = 13×3 - 21 = 39-21 = 18

YZ = 8x-6 = 8×3 - 6 = 24-6 = 18

XZ = x + 4 = 3+4 = 7

Answer:

  (a)  1

Step-by-step explanation:

The number of significant digits in the answer will be the minimum of the numbers of significant digits in the factors. Here, the value with only 1 significant digit is (1).

  1 most affects the number of significant digits in the answer