Mathematics High School

3. The equation y = 19x describes the amount of money Jeff earns, where x is the number of hours he works and y is the amount of money he earns.
The table shows the amount of money Carl earns for different numbers of hours worked.

(a) How much money does Jeff earn per hour? Show your work on how you found the constant of proportionality.
(b) How much money does Carl earn per hour? Show your work on how you found the constant of proportionality.
(c) Who earns more per hour? Justify your answer by comparing the two. Please use complete sentences.
(d) Draw a graph that represents Carl’s earnings over time in hours. Remember to label the axes with the real world quantities that x and y represent.
( please add a graph!! )

Answers

Answer 1

[tex]\\ \sf\longmapsto y=19x[/tex]

Per hour means x=1

[tex]\\ \sf\longmapsto y=19(1)=\$19[/tex]

Carl earns in 3hours=45

He earns per hour=

[tex]\\ \sf\longmapsto \dfrac{45}{3}=15\$[/tex]

#3.

Jeff earns more per hour .

19$>15$

Graph attached

Related Questions

this graph shows the temperature in Diego's house between noon and midnight one day

Answers

Answer:

need picture bro

Step-by-step explanation:

solve each system by substitution
1/2x+1/3y=6
x-y==2

Answers

Step-by-step explanation:

First, let's rewrite the equations.

1/2x + 1/3y =6

x - y = 2

The easiest system to use for substitution is the second one. Let's solve for X.

x - y = 2

add y to both sides!

x = 2 + y

Now that we know x = 2 + y we can use it to substitute in the first equation.

1/2(2 + y) +1/3y = 6

1 + 1/2y +1/3y = 6

5/6y = 5

y = 36/5

Jeremy had $32.50 in his savings account. He withdrew $4.50 each week for 3 weeks. How much money did he have left in the account after the 3 withdrawals?

Answers

Answer:

Jeremy have 19 dollars left.

Step-by-step explanation:

He withdrew $4.50 3 times, so he withdrew $4.50x3 = $13.50 in total

$32.50 — $13.50 = $19

Jeremy had 19 dollars left on his account.

Carolina va a repartir entre sus estudiantes una barra de chocolate, a Valeria le da 5/18, a Camila le da 1/3, a Carlos 2/9 y a Pedro 1/6. Al ordenar los estudiantes, desde el que recibió más chocolate hasta el que recibió menos, se obtiene:

Answers

Respuesta:

Camila> Valeria> Carlos> Pedro

Explicación paso a paso:

Dado que :

Valeria = 5/18

Camila = 1/3

Carlos = 2/9

Pedro = 1/6

Podríamos convertir las acciones recibidas a decimal para facilitar la comparación:

Valeria = 5/18 = 0,27777

Camila = 1/3 = 0.3333

Carlos = 2/9 = 0,2222

Pedro = 1/6 = 0.16666

Comparando los decimales:

0,3333> 0,2777> 0,2222> 0,16666

Camila> Valeria> Carlos> Pedro

In circle o,find the value of x, rounded to the nearest tenth.

Answers

Answer:

[tex]\huge\boxed{x \approx 5.4}[/tex]

Step-by-step explanation:

We can break down this problem by first realizing different parts of the circle.

The line which is 8 units long is a chord of the circle.The line that is 3.6 is almost the radius of the circleThe line that x sits on is the radius.

With this, we can find out if we find the radius of the circle, we have our answer.

We should also note that the angle formed by the 3.6 units long line and the chord is a right angle.

What we need is a way to find the radius of the circle. This will get us x. The radius of a circle will be the length of any line that starts from point O and ends at the circle edge.

If we draw a line connecting the end of the 3.6 line at point O to the end of the 8 unit long chord, we get a triangle! (Image attached for reference).

We can solve for the hypotenuse using the Pythagorean Theorem. This theorem states that:

[tex]\displaystyle a^2 + b^2 = c^2[/tex]

Since we know one side is 3.6, we can use that as A. The second side will be 4 since the 3.6 line lies directly in the center of the chord = 8/2 = 4!

[tex]3.6^2 + 4^2 = c^2[/tex] [tex]12.96+16=c^2[/tex] [tex]28.96=c^2[/tex] [tex]\sqrt{28.96} = c[/tex] [tex]5.4 \approx c[/tex]

Therefore, since this is the radius of the circle (also the hypotenuse), this can be said for any line that comes from point O onto the edge of the circle.

The line X does just that. Therefore, the value of x is also 5.4.

Hope this helped!

in 3/4 of an hour Ryan codes 3/5 of his game. at this rate how much of the game can he code in 1 hour

Answers

Answer:

In one hour, he can code 4/5, 80%, of the game.

Step-by-step explanation:

If he can code 3/5 of his game in 3/4 hour, 60% in 45 minutes, he can code 20% every 15 minutes.

A triangle with no sides congruent and all angles less than 90° is called a __________ triangle.
equiangular equilateral
acute right
acute scalene
acute isosceles

Answers

Answer:

acute scalene

Step-by-step explanation:

Hope it helps you in your learning process.

The triangle with no sides congruent and all angles less than 90° is called an acute scalene triangle option (C) is correct.

What is the triangle?

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have a statement:

A triangle with no sides congruent and all angles less than 90° is called a __________ triangle.

As we know, an acute scalene triangle is a triangle with no congruent sides and all angles smaller than 90 degrees.

Also,

A scalene triangle is one in which each side has a different measure.An isosceles triangle is one in which all sides are equal.An equilateral triangle is one in which all of its sides are equal.

Thus, the triangle with no sides congruent and all angles less than 90° is called an acute scalene triangle option (C) is correct.

Learn more about the triangle here:

brainly.com/question/25813512

A bag contains 5 blue, 2 white and 2 yellow marbles.

We need to find the probability of choosing a white marble from the bag.

2+8/2, 2+2/2= (5,2)

ANSWER: (5,2)

Sheet metal costs $1.88 per square foot. About how much
will Nick spend to cover the outside of the shed, not
including the bottom?

Answers

Answer:

Final Cost: $364.72

Step-by-step explanation:

We can see a picture of the shed attached below. To find the total cost we need to first find the surface area of the entire shed. The sides are rectangles, so to find the surface area we need to multiply the length by the width. Since there are two rectangular sides we multiply the result by 2.

A = L * W

A = 10 * 4.7

A = 47 sq ft. * 2sides

Total = 94 sq ft.

Now we calculate the bottom which is also a rectangle

A = L * W

A = 10 * 8

A = 80sq ft.

Now we need to calculate the surface area of the triangular sides and multiply the results by 2 since there are two triangular sides. The formula for the area of a triangle is half times base times height...

A = 0.5 * B * H

A = 0.5 * 8 * 2.5

A = 10 sq ft * 2 sides

Total = 20 sq ft

Finally, we need to add the entire surface area and multiply by the cost per square foot to find the total cost.

94 + 20 + 80 = 194 sq ft

194* 1.88 = $364.72

find the value of x
9−5x=−8

Answer:

64 cans

Step-by-step explanation:

If two puppies eat 2 cans in two days then you can imagine one puppy eats one and the other puppy eats the other. so if 8 puppies eat in 8 days you would want to do 8 * 8 = 64 cans

If the buses run on schedule, when is the next time a red line and a blue line bus will leave together? Show your work.

Answers

Answer:

So the next time they will leave together is 4:24 pm

Step-by-step explanation:

Since both the buses left at 4 pm and red line bus leaves every 6minutes and blue line bus leaves every 8 minutes they next time they leave together can be found by taking the L.C. M of 6 and 8.

The L.C. M is found by multiplying all the factors and chosing one which common in both numbers.

Factors of 6 = 2*3

Factors of 8= 2*2*2

In these numbers 2 is common in both.The rest of the numbers( 2*2*3 )are multiplied with the the common 2 to get the L.C.M

L.C.M= 2*2*2*3= 24 minutes

So the next time they will leave together is 4:24 pm

What must be the annual payment you receive in order to earn 6.3% rate of return on a perpetuity that has a price of $245.1? (Answer in $s to the nearest cent, i.E. Xx.Xx, with no $-sign or commas needed.)

Answers

Answer:

the annual payment received is 15.44

Step-by-step explanation:

The computation of the annual payment received is shown below:

As we know that

Perpetuity = Payment ÷ rate of return

$245.1 = Payment ÷ 6.3%

So, the payment is

= $245.1 × 6.3%

= 15.44

Hence, the annual payment received is 15.44

We simply apply the above formula so that the annual amount could come

What is the vertical line that divides the parabola into two equal part?

Answers

Answer:

Options

A. UV = 14 ft and m∠TUV = 45°

B. TU = 26 ft

C. m∠STU = 37° and m∠VTU = 37°

D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°

E. m∠UST = 98° and m ∠TUV = 45°

Answer:

A. UV = 14 ft and m∠TUV = 45°

D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°

Step-by-step explanation:

Given

See attachment for triangle

Required

What proves that: ΔSTU ≅ ΔVTU using SAS

To prove their similarity, we must check the corresponding sides and angles of both triangles

First:

[tex]\angle UST[/tex] must equal [tex]\angle UVT[/tex]

So:

[tex]\angle UST = \angle UVT = 98[/tex]

Next:

UV must equal US.

So:

[tex]UV = US = 14[/tex]

Also:

ST must equal VT

So:

[tex]ST = VT = 20[/tex]

Lastly

[tex]\angle TUV[/tex] must equal [tex]\angle TUS[/tex]

So:

[tex]\angle TUV = \angle TUS = 45[/tex]

Hence: Options A and D are correct

Its A and D

i just did it on edg

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