Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.5 mile she bikes. If Emily bikes 10 miles, how much will her mother donate?

Answer: 620≥ 427.57+ 11.38(4)+ (31.41) +57.75x

Step-by-step explanation:

So our limit is the 620$ that he has to spend. We know for a fact that the bike costs about 427.57 dollars. 4  $11.38 reflectors are purchased as well as gloves for 31.41.  Now however many outfits he can purchase cannot exceed or go over his money limit of 620 so the variable (x) represents how many outfits he can buy without going over.

We are required to write an inequality for the problem and also solve it

The number of biking outfit Ethan can purchase is 2

Given:

Total amount Ethan has = $620

Amount of bicycle = $427.57

Bicycle reflector = $11.38

Cost of 4 Bicycle reflector = $11.38 × 4

= $45.52

Cost of bike glove = $31.41

Cost of biking outfit = $57.75

Write an inequality to solve for the number of biking outfit Ethan can purchase

let

x = number of biking outfit Ethan can purchase

620 ≥ 427.57 + 45.52 + 31.41 + 57.75x

620 ≥ 504.5 + 57.75x

620 - 504.5 ≥ 57.75x

115.5 ≥ 57.75x

x ≥ 115.5 / 57.75

x ≥ 2

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Answer:

(3x - 2)(3x - 4).

Step-by-step explanation:

9x^2-18x+8

Use the 'ac' method:

9 * 8 = 72.

We need 2 numbers whose product is + 72 and whose sum is -18

These are -12 and -6 so we rewrite the expression as:

9x^2 - 12x - 6x + 8       Now we factor by grouping:

= 3x(3x - 4) - 2(3x - 4)   The 3x - 4 is common so we have:

(3x - 2)(3x - 4).

The factor of the quadratic expression 9x² - 18x + 8 will be (3x - 2) and (3x - 2).

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The quadratic expression is given below.

⇒ 9x² - 18x + 8

Factorize the quadratic expression, then the factors are given as,

⇒ 9x² - 18x + 8

⇒ 9x² - (12 + 6)x + 8

⇒ 9x² - 12x - 6x + 8

⇒ 3x(3x - 4) -2(3x - 4)

⇒ (3x - 2)(3x - 4)

Then the factor of the quadratic expression 9x² - 18x + 8 will be (3x - 2) and (3x - 2).

More about the factorization link is given below.

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Answer:

4:5

...................

Answer:

just do pythagorean theorem  

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

This is a Pythagorean Problem

Formula

a^2 + b^2 = c^2

a = 5

b = ?

c = 9

Solution

5^2 + b^2 = 9^2             Expand the givens

25 + b^2 = 81                  Subtract 25 from both sides

25-25+b^2 = 81- 25

b^2 = 56

√b^2 = √56

b = √8*7

b = √2*2*2*7

b = 2 √2*7

b = 2 √14

For every 2 prime factor under the square root sign, 1 of them can be taken out from under the root and the other is thrown away.

Answer: 2.18

Step-by-step explanation:

Angle B= 180- (Angle A + Angle C)

= 180- (70+90)

= 180-160=20

((sin A)/BC)=((sin B)/AC)

((sin 70)/6)=((sin 20)/AC)

(0.9/6)=(0.3/AC)

AC= (6*0.3)/0.9

AC= 2.18

Answer:

The answer is 2.89 in 2dp

3 cube is 27

27 minus 6.8 is 20. 2

20. 2 decide by 7 is 2.89

Answer:

  the answer would be 3

Step-by-step explanation:

Because 3 to the third power is 27 and 6 times 8 is 48 so you subtract 27 and 48 and you get 21 so you divided 21 and 7 and you get 3. sorry if that's confusing but I hope it helped.

Answer:

For a triangle to be equiangular all its three interior angles must be equal, that is, each angle should measure 60˚.

Step-by-step explanation:

Answer:

124.35 cm

Step-by-step explanation:

Step by step solution in the attachment

Answer:

2x + 2y

Step-by-step explanation:

there are 2 x's and y's.

Answer:

Q1.acceleration=3u/20

Q2.a=13.908m/s

b.50.069km/hr

Step-by-step explanation:

Q1.V=U+at

v=u+at

substituting we have a=3u/20m/s^2 in terms of u

Q2.velocity =distance/time

v=100/7.19=13.908m/s

Answer:

x = 27.8

y = 35

Step-by-step explanation:

∡D ≅ ∡A, therefore:

65 = 2y - 5

70 = 2y

y = 35

EF ≅ BC, therefore:

2x + y = 90.6

2x + 35 = 90.6

2x = 55.6

x = 27.8

Answer:

1 x 10^-7

Step-by-step explanation:

Answer:

l;komjni

Step-by-step explanation:

Answer:

£101

Step-by-step explanation:

60 divided by 4 = 15

15 x 3 = 45

£45 = adult price

10% of £45 = £4.50

40% of £45 = £18

£45 - £18 = £27

£27 = 1 child ticket

£27 x 2 = £56

£56 = two child tickets

£56 + £45 = £101

Answer:

distance = 25

Step-by-step explanation:

Answer:

number first is the answer

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the functions.

According to the power of the functions, positive power is more than the negative one hence, for any value of x, the value of function y is always positive.

Hence the answer is option D.)

===>

x==> - infinite, y => infinite and x=> infinte, y=> infinite

Step-by-step explanation:

Area of the parallelogram = 1/2 × length of parallel sides × height

= 1/2 × (9+9) ×6

= 54

Step-by-step explanation:

The ratio and proportion is the mathematical concept that can explain the correlation between the size of a dog and the amount of food it eats. For example dogs weighing 3 to 7 kg should consume 67 to 112 grams of food per day, that is, the amount of food must be proportional to the weight of the dog.

The ratio and proportion are interconnected concepts that allow the understanding of comparison between quantities.

Answer:

1. 3.75 or 3/4

2. 5.3

3. 4.5

4. 3.4

Step-by-step explanation:

hope this helped i tried :/

1) 3.75

2) 5.33

3) 4.5

4) 3.42

Answer:

Yes that is very much correct y'know thanks for the free points

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slope and y-intercept form of a line: y =mx + b

m -> Slope;     b -> y-intercept

y = (-1/5)x + 9

Slope = -1/5

y-intercept = 9

Answer:

The cause is the independent variable. In your study, its value is independent of other variables. The affect is the dependent variable. Its value depends on the independent variable being changed.

Step-by-step explanation:

Answer:

C is your Answer

Step-by-step explanation:

Answer:

a or b i will help no further

Answer:

54.22 mm

Step-by-step explanation:

Find the circumference of the circle and then divide it by 2.

We start with the formula for the circumference for the circle:

C = 2πr

To find r, divide 22 by 2:

22/2=11

Now find the cicumference:

C = 2πr = 2(3.14)(11) = 108.46 mm

NOW, to find the perimeter of the semicircle, divide the circumference by 2:

108.46/2 = 54.22 mm

Answer:

56%

Step-by-step explanation:

9 girls + 5 boys have cameras on

this is 14 out of 25, or 56%

Answer:

(x,y) => (x, -y)

Step-by-step explanation:

[tex]y = 7x + 3[/tex]

[tex] - y = 7x + 3[/tex]

[tex]y = - 7x - 3[/tex]

so

[tex]g(x) = - 7x - 3[/tex]

Hence, [tex]g(x) = - 7x - 3[/tex].

What is the function?

Functions are often defined by a formula that describes a combination of arithmetic operations and previously defined functions; such a formula allows computing the value of the function from the value of any element of the domain.

Here given that,

Let [tex]g(x)[/tex] be the reflection across the x-axis of the function [tex]f(x) = 7x + 3[/tex]. Identify the rule for [tex]g(x)[/tex].

So,

[tex]y = 7x + 3\\-y= 7x + 3\\y = - 7x - 3\\g(x)=- 7x - 3[/tex]

Hence, [tex]g(x) = - 7x - 3[/tex].

To know more about the function

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Write down the factors for the numerator and the denominator.

Determine the largest factor that is common between the two.

Divide the numerator and denominator by the greatest common factor.

Write down the reduced fraction.

Answer:

1.424

Step-by-step explanation:

solo multiplica 356x4

Answer:

38%

Step-by-step explanation:

So first you need to find what 434/700 is because that is when she fell asleep. Divide each side by 2 to get 217/350. Use division to find the decimal. Once you are done with that, you get 0.62. You then subtract 0.62 from 1 because that is the amount of when she fell asleep. 1-0.62=0.38. 0.38 is also 38% so Moussa fell asleep for 38% of the trip.

Hopefully this helps you