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Answer:

y = 7.75x

Step-by-step explanation:

Steven earns extra money babysitting.

Step 1

Let us find the amount he earns per hour based on the charges given in the question.

a) He charges $31.00 for 4 hours

4 hours = $31

1 hour = x

Cross Multiply

4x = $31

x = $31/4

x = $7.75

b) And $46.50 for 6 hours.

6 hours = $46.50

1 hour = x

Cross Multiply

6x = $46.50

x = $46.50/6

x = $7.75

This means, Steven earns $7.75 per hour.

Step 2

Let

x represent the number of hours Steven babysit

y represent the amount he charges.

Therefore, an equation to represent the relationship is written as:

y = $7.75 × x

y = 7.75x

Answer:

Step-by-step explanation:

surface are of triangular prism =(a+b+c)h+bh

=(5+5+4)11+4*6

=14*11+24

=154+24

=178 yd^2

Answer:

GIVEN :-

TO VERIFY :-

SOLUTION :-

L.H.S. =

[tex]x+ (y + z)[/tex]

[tex]=> -\frac{1}{2} + (\frac{1}{2} + \frac{-1}{4} )[/tex]

[tex]=> -\frac{1}{2} + (\frac{2 - 1}{4} )[/tex]

[tex]=> -\frac{1}{2} + \frac{1}{4}[/tex]

[tex]=> \frac{-2 + 1}{4}[/tex]

[tex]=> -\frac{1}{4}[/tex]

R.H.S. =

[tex](-\frac{1}{2} + \frac{1}{2} ) + \frac{-1}{4}[/tex]

[tex]=> 0 - \frac{1}{4}[/tex]

[tex]=> -\frac{1}{4}[/tex]

∴ L.H.S. = R.H.S. (Verified)

We know the trigonometric ratios that tan = opposite/adjacent So, tan S is equal to 15/8 and tan R is equal to 8/15.

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.

We know that tan = opposite/adjacent

tan S

opposite: 45

adjacent: 24

So,

tan S = 45/24 = 15/8

tan R

opposite: 24

adjacent: 45

So,

tan R = 24/45 = 8/15

Learn more about trigonometric ratios here:

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Answer:

do the answer is 24

in the picture there's the steps

Answer:

Step-by-step explanation:

since they are similar triangle use this ratio

AB/DE=AC/DF

4/12=8/3(x+1)

do cross multiplication

12*8=3*4(x+1)

96=12(x+1)

96=12x+12

96-12=12x

84/12=x

7=x

substitute the value of x

3(x+1)

3(7+1)

3*8

24

Answer:

c

sorry if I'm wrong.

ah ah ah ah ah

Answer: 40%

Step-by-step explanation:

I just did it

it's sideways take a better pic

Answer:

to find the WX you have to use this formula

m>S=TR-WX/2

45=116-WX/2

90=116-WX

WX=116-90

WX=26

the answer is D 26

Answer:

D

Step-by-step explanation:

The secant- secant angle WSX is half the difference of the intercepted arcs, that is

[tex]\frac{1}{2}[/tex] (116 - WX)° = 45° ( multiply both sides by 2 to clear the fraction )

116 - WX = 90° ( subtract 116° from both sides )

- WX = - 26° ( multiply both sides by - 1 )

WX = 26° → D

Answer:

3x² + 30x

Step-by-step explanation:

width of a box = x units.

height of a box = 3 units.

length of a box = (x + 10) units.

Volume of the box = length × width × height

= (x + 10) * x * 3

= (x + 10) * 3x

= 3x² + 30x

Volume of the box = 3x² + 30x

Answer:

Female, E-Book=22

Male, Print=20

Total Female=44

Print total=42

Answer:

x = 10% saline solution = 190 mililiters

y = 60% saline solution = 10 mililiters

Step-by-step explanation:

Theodore needs to mix a 10% saline solution with a 60% saline solution to create 200 milliliters of a 12.5% solution. How many milliliters of each solution must Theodore use

Let

x = 10% saline solution

y = 60% saline solution

x + y = 200

x = 200 - y

10% × x + 60% × y = 200 × 12.5 %

Hence:.0.1x + 0.6y = 25

Substituting 200 - y for x

0.1(200 - y) + 0.6y = 25

20 - 0.1y + 0.6y = 25

- 0.1y + 0.6y = 25 - 20

0.5y = 5

y = 5/0.5

y = 10 milliliters

Solving for x

x = 200 - y

x = 200 - 10

x = 190 mililiters

Answer: Point P

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

y = −3x −2

This is in the form  y = mx+b  where m is the slope

This line has a slope of -3

We want the slope of a line that is perpendicular

Lines that are perpendicular have slopes that are negative reciprocals

m = -(1/-3)

m = + 1/3

The slope  of a line that is perpendicular is 1/3

Answer:

B: This relationship is not a function because more than one amount of plant food remains each day

Step-by-step explanation:

It is given that Ryan did an experiment by observing the effects of plant food and the growth of the sprouting bean plant. He made a note of the height of the bean plant and the amount of food remaining in the container for the plant after feeding each day.

Thus he observed that the plant food in the container decreases by an equal amount everyday as the bean plant grew. Thus this states that it is not a  function between the two as there are more than one plant food remaining each day for the plant.

A relationship is a function when one element belongs to one thing.

Answer:

11,73 cm (round to the nearest hundredths) ; 112 degrees

Step-by-step explanation:

circumference = 2 x radius x π = 2 x 6 x π = 37,699112 cm

measure of the arc =

37,699112 : 360 = x : 112

x = (112 * 37,699112)/360 = 11,728613 cm

the measure of the angle is given = 112 degrees

Answer:

7/100

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 70 and 100 is 10

Divide both the numerator and denominator by the GCD

70 ÷ 10

100 ÷ 10

Reduced fraction:

7

10

Therefore, 70/100 simplified to lowest terms is 7/10.

Answer:

6-5 = 7-6

Step-by-step explanation:

Answer:

35/6

Step-by-step explanation:

first you have to multiply 7 by 5/6 and that will get you to the answer of 35/6

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Answer: [tex]4\ in.[/tex]

Step-by-step explanation:

Given

Handy uses a scale of 1 inch to 2 foot i.e. 1 inch of drawing represents 2 foot

For 8 foot length of tree house he draw x inch(say)

[tex]\therefore \ \dfrac{1\ \text{inch}}{2\ \text{foot}}=\dfrac{x}{8}\\\\\Rightarrow x=8\times \dfrac{1}{2}\\\Rightarrow x=4\ in.[/tex]

So, handy draw 4 inches.

Given statement solution is :-  If there are 52 students ahead of Howard when he gets in the lunch line, he should expect it to take approximately 53 minutes before he sits down to eat.

According to the equation of the line given as "m = S + 1," where m represents the number of minutes elapsed and s represents the number of students ahead of Howard in the lunch line, we can substitute the value of s as 52 to find the expected number of minutes.

m = S + 1

m = 52 + 1

m = 53

Therefore, if there are 52 students ahead of Howard when he gets in the lunch line, he should expect it to take approximately 53 minutes before he sits down to eat.

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Answer:

answer is 8

Step-by-step explanation:

take Lcm of 8 and 32

Answer:

8

Step-by-step explanation:

The table represents a linear equation, y = - 2x - 2.

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

From, The given table the list of ordered pairs are,

(1, - 4), (2, -6), (3, - 8), (4, - 10), and (5, - 12).

By observing the ordered pairs and patterns we can form an equation,

y = - 2x - 2.

If we put the values of 'x' the equation will satisfy the values of 'y'.

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Answer:

Inscribed angle = <X

Intercepted arc = arc VW

Step-by-step explanation:

The inscribed angle in a circle is usually formed inside a circle when two segments intersect at a point in the circle. While intercepted arc is the section of the circumference of the circle encased by the two segments that forms the inscribed angle.

Thus,

Inscribed angle = <X

Intercepted arc = arc VW