Jason had three more than four times the amount of money that Jeff has. Together they have $72. How much money does each person have?

Answers

Answer 1

Answer:

Jason has $58.20 and Jeff has $13.80.

Step-by-step explanation:

Let x represent the amount of money Jason has, and y represent the amount of money Jeff has.

We know that together they have $72. So, we can write the following equation:

[tex]x+y=72[/tex]

We know that Jason has three more than four times the amount of money Jeff has. So:

[tex]x=3+4y[/tex]

This is a system of equations. We can solve it by using substitution. Let's substitute the second equation into the first. This yields:

[tex](3+4y)+y=72[/tex]

Combine like terms:

[tex]5y+3=72[/tex]

Subtract 3 from both sides:

[tex]5y=69[/tex]

Divide both sides by 5:

[tex]y=69/5=\$13.80[/tex]

So, Jeff has $13.80

We know that Jason has three more than four times the amount of money Jeff has.

Therefore, Jason has:

[tex]x=13.8(4)+3[/tex]

Multiply and add:

[tex]x=\$58.20[/tex]

So, Jason has $58.20 and Jeff has $13.80.

And we're done!


Related Questions

Please please please help :( Just plz I’m begging; show an equation and explanation to this please T-T

This is my fourth time posting this and no one did so correctly or they just didn’t understand please someone help

Answers

Answer:  B+E = 180

Angles B and D are corresponding angles. This means D = B since corresponding angles are congruent when we have parallel lines.

Then note how D+E = 180 as these two angles form a straight angle.

Replace D with B getting B+E = 180 (this is the substitution property).

Alternatively, you can say that G = E and B+G = 180 to lead to B+E = 180. There are many other routes to take as well.

if Sam drove 5 miles per hour 3 minutes how many miles will it take Sam to get to another 17 miles​

Answers

Answer:

It will take Sam another 10 minutes and 20 seconds to go another 17 miles.

If Sam is going 5mi per 63 min, then we can ADD 63+63=126 it takes 126minutes for 10mi, 126+63=189 it takes 189 minutes to go 15mi, now we DIVIDE 63/5 = 12.6 minutes to travel 1mi, so 12.6+12.6 =25.2 189+25.2=214.2 minutes to travel 17mi

Answer:
214.2 minutes
3.57 hrs

Using the table created in part a determine how long it will take to complete the calls of Emma and Jackson work together

Answers

Answer: look at the image. hope this helps

Step-by-step explanation:

how do you do 32x−4=14x+12

Answers

Answer:

8/9

Step-by-step explanation:

you will add 4 to both sides and minus 14x from both sides making it 18x= 16 divided 18 from both sides with will be 16/18 but simplify it and it will be 8/9

Answer:

8

9

Step-by-step explanation:

What two things must DNA be able to do?

Answers

DNA contains the instructions needed for an organism to develop, survive and reproduce. To carry out these functions, DNA sequences must be converted into messages that can be used to produce proteins, which are the complex molecules that do most of the work in our bodies. Hope this helps!

????????? h e l p ????????

Answers

C.





She said that I don’t need her 54

If the sum of the square of the number and 4 time the number is 21,
what is the number? ​

Answers

Answer:

I think there is a missing “and” there: “If the sum of the square of the number and 4 times the number is 21, what is the number?”

If so, then we have: x² + 4x = 21, or x² + 4x - 21 = 0.

This factors as (x+7)(x-3) = 0, so x = -7 or x = 3.

Does anyone know how the repeating decimal symbol (line above a decimal) looks on a calculator? I can’t find it

Answers

Answer: I don't think there is a repeating sign, at least on the  calculator I use, you may just have to write the number out.

Step-by-step explanation:

100 POINTS! PLEASE HELP WILL MARK BRAINLIEST
Scott is revising for a test that has 20
marks. He thinks the length of time he spends revising
for a test is directly proportional to the number of marks he gets. If he revises for
30 minutes he gets 12 marks. Assuming Scott is correct

How long would he need to revise to get
18
marks?

Answers

Answer:

It would take 45 minutes to get 18 marks

Step-by-step explanation:

30 ÷ 12 = 2.5

2.5 x 18 = 45

It would take 45 minutes to get 18 marks

BRAINLIEST WHOEVER ANSWERS FIRST!

Caroline's Coffee Shop sells a refill mug for $8.95. Each refill costs $1.50. Last month Sean spent $26.95 on a mug and refills. How many refills did he buy?

Answers

Answer:

The answer is 12

Step-by-step explanation:

All you had to do is subtract 26.95 by 8.95 which is 18, and then you would divide 18 by 1.50 and your answer is 12!

I hope this helped you! Make sure to mark me as a Brainliest!

Plss help if can! Thx

Answers

This answer should be 363 dollars.

Use the rule y = -x + 7 to fill in the blank.

If (-1, y) is on the graph, then y = ___

Answers

Answer:

8

Step-by-step explanation:

x=-1 so -(-1)+7=y

1+7=y

8=y

Answer:8

Step-by-step explanation:

mark me brainlist

Angels family is visiting the city they are looking for a place to spend the night and discovered that the plaza hotel charges 110 per night.Write an equation

Answers

Answer:

$110 x 7 =$770. A weeks stay at the Plaza Hotel will cost $ 770.00. 7 days multiplied by $110 will cosr $770

Please help me with this problem thank you​

Answers

LP is 12 units, MN is 3, so MN is 1/4 of LP, meaning there is a 25% chance that any point on LP is MN

on a scale drawing, 3 inches represents 50 miles. if a line segment between two point measured 7 inches, how many miles would it represents

Answers

Answer:

It would represent 116.66666667

Step-by-step explanation:

3 inches= 50 miles

1 inch = 50/3 miles

7 inches = 50/3 × 7 miles

= 116.66666667 miles

help pleaseeeeee and quick too lol!

Answers

Step-by-step explanation:

2/root 9=2/3 = 0.6666666667

Answer:

0.66666

Step-by-step explanation:

Does anyone know if this is a function ?

Answers

Answer:

Yes, it is a function

Step-by-step explanation:

This is a function since each x value, the number on the left in the paretheses only has one y value.

If any x had more than one y value, it wouldn't be a function.

Hope this helps:)

i neeed help again fast plss

Answers

Answer:

i think the answer is 7.9373

Step-by-step explanation:

so its the Herons Formula (when you know all 3 sides) so the formula would be

Area =  √  p  ( p − a )  ( p − b )  ( p − c )    

p is half the perimeter

 

or,

a + b + c

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

               2

 

Answer:

[See Below]

Step-by-step explanation:

[tex]\boxed{Hey~There!}[/tex]

__________________________________________________________

[tex]\boxed{Solve~for~area:}[/tex]

Formula:

             [tex]\frac{1}{2} *b*h[/tex]

So we have to re-make the formula with our information:

            [tex]\frac{1}{2} *4*4[/tex]

Then you solve:

             [tex]8[/tex]

[tex]\boxed{The~answer~is: 8cm^2}[/tex]

__________________________________________________________

[tex]Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane[/tex] ^-^

The angles of a quadrilateral are in the ratio 1:2:3:4. Find the measure of each angle

Answers

Answer:

Let us consider that the smallest angle is 'x'.

According to the given ratio, the four angles are:

x2x3x4x

Now, for any quadrilateral, the sum of the all four angles should be equal to 360°.

So,

        x + 2x + 3x + 4x = 360°

        10x = 360°

         x = 36°.

Thus, the four angles are:

x = 36° 2x = 2 × 36 = 72° 3x = 3 × 36 = 108° 4x = 4 × 36 = 144°

What is the value of x?
(5x)
(3x + 18)º

A. x = -2.25
B. x = 2.25
Cx = 9
D. x = -9

Answers

We know that 5x-3x =2x

So x(5x-3x)=x×2x

=(2x)^2

=4x^2

Which is given as 18.

X^2=18÷4

=4.5

So x=root over 4.5

Which is approximately 2.25

What does PIN stand for?
a. Principal Investment Number
b. Permission Initiating Number
c. Percent Increase Number
d. Personal Identification Number

Answers

Answer:

D

Step-by-step explanation:

PIN stands for Personal Identification Number. Option d is correct.

What is a Personal Identification Number.?

An alphanumeric or numeric string called a personal identification number (PIN) is used to verify a person's identity in a system.

Automated Teller Machines (ATM) for a bank, are the primary use cases for PINs (ATM). PINs are frequently used in place of more complex passwords to unlock mobile devices and authenticate users to applications.

Along with the development of the ATM, PINs were invented in the UK. In 1967, Barclays debuted ATMs as a convenient way for consumers to obtain cash. They also introduced ATM check deposits, which made use of codes printed on checks to help correctly account for such transactions.

Learn more about Personal Identification Numbers here,

https://brainly.com/question/11955768

#SPJ5

H (n) = 3n ;find h (6)

Answers

to find this, you would plug in the 6 in place of n. h(n) = 3n is now equal to h(6)=3n therefore h= 18

Scientific understandings can change as new information is discovered. Which is an example of how scientific understandings have changed? A.People once thought Earth was round. Now they understand that it is flat. B. The Law of Universal Gravitation has not been tested many times and is no longer taught in science. C.The understanding of mountain building and earthquakes changed once people accepted the theory of plate tectonics. D.The inclined plane, which is a simple tool that may have been used by the Egyptians to build the pyramids, now has other applications.

Answers

Answer:

E. People once thought animals were individually create by some superior.

But the solid creation of theory of origin of species by the naturalist Charles Darwin demonstrated a different theory.

Step-by-step explanation:

Before Charles Darwin several scientists were discussing the hypothesis of a theory of evolution. But it was Darwin whom put together all the information with reliable explanation and correlation between animal specialization and environment accordyinly with time.

He spent almost five years on board the ship HMS Beagle, crossing several continents, starting with South America. From there, he returned with dozens of specimens of living species, illustrations and fossils. Those specimens helped Darwin in his discoveries which originated the book On the Origin of Species published in 1859.

what are the following terms most accurately describes the fraction 2/5 ?

whole number ?
rational ?
irrational ?
integer ?

Answers

Answer:Rational

Step-by-step explanation:it's not whole, it's not irrational because it's a fraction, and it's not an integar because it's a fraction

Derrick's Doggie Day Care charges a $12 registration fee plus $5 per hour for pet sitting. Pauline's Pooch Park charges $3 per hour plus an $18 registration fee. Which inequality can be used to find the number of hours, h, for which the cost of Derrick's Doggie Day Care is at most the cost of Pauline's Pooch Park? 12+5h≥3h+18 12 plus 5 h is greater than or equal to 3 h plus 18 5h+12>18+3h 5 h plus 12 is greater than 18 plus 3 h 12+5h<3h+18 12+5h<3h+18 12+5h≤18+3h 12 plus 5 h is less than or equal to 18 plus 3 h

Answers

Answer:

[tex]12 + 5h \leq 18 + 3h[/tex]

Step-by-step explanation:

Given

Represent Derrick's with D and Pauline's with P

For D

Registration Fee = $12

Hourly Charges = $5

For P

Registration Fee = $18

Hourly Charges = $3

Required

Represent as an inequality such that D is at most of P

First, we need to represent both as an expression:

For D

[tex]D: 12 + 5h[/tex]

For P:

[tex]P:18 + 3h[/tex]

Since D is at most of P;

This implies that:

[tex]D \leq P[/tex]

So, we have:

[tex]12 + 5h \leq 18 + 3h[/tex]

Please help me and explain it to me

Answers

Answer:

50°

Step-by-step explanation:

Hope this helps and is correct

60 degrees

This triangle is a right triangle, which means One angle measure of the triangle is 90 degrees. And the given angle is 40 degrees. The total sum of all the angles in a triangle is 180 degrees.

So if you add 40 + 90 + x = 180

You get 130 + x = 180

If you subtract 180 - 130

You get 60.

If I didn’t explain it good enough, let me know so I can explain it better.

If this helped, pls mark branliest.

Evaluate 3p + 5 when p = 6.
a. 14
b. 18
C. 23
d. 41

a
b
С
D

Answers

Answer:

C. 23

Step-by-step explanation:

3(6) + 5

18 + 5 = 23

Hope that helps and have a great day!

3p+5when p=6
Answer=c 23

Find x so that the distance between the points (-2,5) and (x,-7) is 13

Answers

Answer :(x₁ , y₁) = (-2 , 5)(x₂ , y₂) = (x , -7)

Distance between both points = 13

We have to find value of x[tex].[/tex]

Distance between two points can be measured by using this formula :

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

⭆ d = √[(x₂ - x₁)² + (y₂ - y₁)²]

⭆ 13 = √[(x - (-2))² + (-7 - 5)²]

⭆ 13² = (x + 2)² + (-12)²

⭆ 169 = (x + 2)² + 144

⭆ (x + 2)² = 169 - 144

⭆ (x + 2)² = 25

⭆ x + 2 = 5

⭆ x = 5 - 2

x = 3

Hope It Helps!

If m 2 =6x+8 and m 6 = 8x-6, find the value of x so that l is parallel to m

Answers

Answer:

vhvffvvvchbbjkkbc

Step-by-step explanation:

cc HB buggy CFB

The value of "x" will be "7".

Given:

[tex]m_2 = 6x+8[/tex][tex]m_6=8x-6[/tex]

When "m" is parallel, then

→      [tex]m_2=m_6[/tex]

By substituting the values, we get

→ [tex]6x+8=8x-6[/tex]

By adding "6" both sides, we get

→ [tex]6x+8+6=8x-6+6[/tex]

→      [tex]6x+14=8x[/tex]

By subtracting "6x" from both sides, we get

→  [tex]6x+14-6x=8x-6x[/tex]

→                   [tex]14=2x[/tex]

                      [tex]x = \frac{14}{2}[/tex]

                          [tex]= 7[/tex]

Learn more about slope here:

https://brainly.com/question/18749405

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second. y=-16x^2+157x+124 y=−16x 2 +157x+124

Answers

Answer:

Rocket will hit the ground in 10.55 seconds.

Step-by-step explanation:

Let be [tex]y = -16\cdot x^{2}+157\cdot x +124[/tex], where [tex]x[/tex] and [tex]y[/tex] are time after launch and the height of the rocket, measured in seconds and meters, respectively. To find the time that the rocket will hit the ground, we need to equalize height to zero and solve the resulting expression:

[tex]-16\cdot x^{2}+157\cdot x + 124 = 0[/tex]

The quadratic function can be solved analitically by Quadratic Formula, that is to say:

[tex]x = \frac{-157\pm \sqrt{157^{2}-4\cdot (-16)\cdot (124)}}{2\cdot (-16)}[/tex]

Roots of the polynomial are, respectively:

[tex]x_{1} \approx 10.55\,s[/tex], [tex]x_{2}\approx -0.74\,s[/tex]

Only first root offers to us a reasonable solution. Hence, we conclude that rocket will hit the ground in 10.55 seconds.

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