One weekend Bill earned 3 times as much as Jim. Tom earned $5 more than Jim. In all, they earned $60. How much did each earn?

Answers

Answer 1

Answer:

Step-by-step explanation:

J

B = 3J

T = J + 5

J + 3J + J + 5 = 60

5J = 55

J = $11

B = $33

T = $16

Answer 2

The amount earned by Jim, Bill and Tom is equal to [tex]\boldsymbol{\$ 11},\boldsymbol{\$ 33},\boldsymbol{\$ 16}[/tex].

"Important information"

Let .

The amount earned by Jim be [tex]\boldsymbol{x}[/tex].

Amount earned by Bill [tex]=\boldsymbol{3x}[/tex]

Amount earned by Tom [tex]=\boldsymbol{x+5}[/tex]

Total amount earned by all [tex]=\boldsymbol{\$ 60}[/tex][tex]x+3x+x+5=60\\5x=55\\x=11[/tex]

So,

Amount earned by Jim [tex]=\boldsymbol{\$ 11}[/tex]

Amount earned by Bill [tex]=3(11)[/tex] [tex]=\boldsymbol{\$ 33}[/tex]

Amount earned by Tom [tex]=11+5[/tex] [tex]=\boldsymbol{\$ 16}[/tex]

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Related Questions


Solve for x: 2x + 12= 18 (5 points)

Answers

Answer:

X = 3

Step-by-step explanation:

2x = 12 = 18

x +6 = 9

x = 9-6

x = 3

Hope its right <3 Like if it helped

Rewrite in simplest terms: (4x + 4) - (-4x - 9)
Answer:
Submit Answer

Answers

Answer:

8x+13

Step-by-step explanation:

do you need this part?

The sum of 7/8 of a number and 20 is 34 at minimum

Answers

Answer:

7/8x ≥ 14

Step-by-step explanation:

(sum means addition in case you forgot)

You would start by writing 7/8x + 20 ≥ 34

You would then subtract 20 from both sides to isolate the variable x.

You would then have 7/8x ≥  14

07
Question 4
What is the 11th term of the geometric sequence
-1.5, -3, -6, -12, ...? /(5 pts)
Your Answer:

Answers

Answer:

-1536

Step-by-step explanation:

By taking the general formula for the geometric sequence, we substitute the variables with the values of our sequence, finding -1536 as the 11th term

Over a lengh of 101 inches the hight changes 5" what is the angle?

Answers

Answer:

  2.83°

Step-by-step explanation:

The tangent of an angle is the ratio of rise to run.

 θ = arctan(5/101) ≈ 2.83°

_____

We assume the length is referring to the horizontal distance.

If it is the distance along the path, then the angle is ...

  θ = arcsin(5/101) ≈ 2.84°

Joshua wanted to know the distance between two cities. The scale on the map was 1/2 in = 10 km. The distance between the cities on the map was 2 1/4 in. What was the actual distance between the cities?

Answers

Step-by-step explanation:

remark : it is very unusual for a map to mix two measurement norms. they are normally either fully in the American or fully in the metric system.

but let's do the exercise.

the scale says 1/2 in = 10 km

but our measurement on the map brought us quarter inches.

so,

1/2 in = 2/4 in = 10 km

therefore

1/4 in = 10/2 = 5 km

now,

2 1/4 = 9/4 in

this is 9 times 1/4.

therefore, the distance between the 2 cities is

9 × 5 = 45 km.

HELP ME ASAP!!!
Question 3(Multiple Choice Worth 5 points)
(04.04 MC)

If a sprinkler waters 1 over 15 of a lawn in 1 over 3 hour, how much time will it take to water the entire lawn?

5 hours
15 hours
18 hours
45 hours

Answers

It would take 5 hours.

1/15 of the lawn in 1/3 hours means it takes 1 hour to water 3/15 of the lawn aka 1/5

1/5 of the lawn in 1 hour would mean it takes 5 hours to finish watering the entire lawn.

The sum of two numbers is 58.25. The second number is 14 less than 2 times the first number. What are the two numbers?
plz fast

Answers

Answer:

The first number is 24.08 and the second number is 34.17

A traffic study determined that a larger city population indicates a
longer commute time for drivers. What can we say from this
information?

Answers

Answer:

There must he a circulation. May not be causation.

Evaluate the expression
“-8.56x + 31.7 for x= 75.6”

A. -615.436
B. 614.436
C. 615.436
D. -614.436

Answers

Answer:

Substitute

Step-by-step explanation:

x=75.6

-8.56(75.6) + 31.7=-615.436

Answer: -615.436

Convert 8 fluid ounces into milliliters. Round your answer to the nearest whole number.

Answers

Answer:

236.588 milliliters so the answer is 240

Step-by-step explanation:

for an approximate result, multiply the volume value by 29.574

Find the area of the shape shown below.
2 2 2 2 6​

Answers

Answer:

12 units squared

Step-by-step explanation:

This requires a 3-step solution.

1. The triangle on the left:

   To get an area for a triangle, you do: base times height divided by 2.

   You get 4/2, which is 2 units squared for the first triangle.

2. The square:

   Pretty easy, it is 2 x 2 which is 4.

3. The last triangle:

   Same thing as the first triangle, 2 x 6 divided by 2.

   You get 12/2 which is 6.

To get the final area: You add them up.

2 + 4 + 6, which is 12.

In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = z2 to the
number of z-intercepts in the graph of g(x) = -22 – 5. Be sure to include the transformations that
occurred between the parent function f(x) and its image g(x).

Answers

Answer:

There is only one x-intercept for f(x) and g(x), f(x) having a minimum value of zero and g(x) having a maximum value of zero. f(x)=0 when x=0, g(x)=0 when x=4.

g(x) is f(x) reflected about the about the x-axis and shifted to the right by 4 units.

Solve the following equation for d:cd – 8 = f

Answers

Answer: Well my friend, there is not enough info to sole the equation..

Step-by-step explanation:

33. Jeremy works at a bank and earns $800 for a 40-hour week. His sister, Beth works at a school and only earns $700 for a 30-hour week. Who makes more per hour?

A. Jeremy makes $10 more per hour
B. Beth makes $10 less per hour
C. Beth makes at least $3 more per hour
D. Jeremy makes at least $5 more per hour

Answers

Answer:

Step-by-step explanation:

Jeremy

Pay = 800

Time = 40 hours

Per hour pay= 800/40 = 20 dollars per hour.

Beth

Pay = 700

Time = 30 hours

Per hour Pay= 700 / 30 = 23.33

The answer is C. She gets 23.33 which is 3.33 more than her brother makes.

In Exercises 12-20, TA=AB=BC and TD= DE = EF

Write an Equation that relates AD and BE.

Answers

Based on the midsegment theorem of a triangle, the equation that relates AD and BE is: AD = ½(BE)

Recall:

The midsegment theorem of a triangle states that length of midsegment = ½(the third side of the triangle).

Given the image attached below, where, TA=AB=BC and TD= DE = EF, considering ΔTBE:

AD = midsegment of ΔTBEBE = third side of ΔTBE

Therefore, based on the midsegment theorem of a triangle, the equation that relates AD and BE is: AD = ½(BE)

Learn more about the midsegment theorem of a triangle on:

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Pre college need help with

Answers

Answer:

check online for more information

HELP PLSSSS ILL GIVE 5 STARS JUST ANSWER

Answers

Answer:

-1 (color bow red)

Step-by-step explanation:

first plug x=7

-12/2(7) - 2

-12/14-2

-12/12

-1

Let f(x) = x^6( x − 8 )^7 / (x^2 +2)^2
Use logarithmic differentiation to determine the derivative.
f ' (x) =________

Answers

If

f(x) = x⁶ (x - 8)⁷ / (x² + 2)²

then taking the logarithm of both sides lets us expand the right side as

ln(f(x)) = ln(x⁶ (x - 8)⁷ / (x² + 2)²)

ln(f(x)) = ln(x⁶) + ln((x - 8)⁷) - ln((x² + 2)²)

using the property ln(ab) = ln(a) + ln(b).

We can also use the property ln(aⁿ) = n ln(a), so that

ln(f(x)) = 6 ln(x) + 7 ln(x - 8) - 2 ln(x² + 2)

Then differentiating both sides using the chain rule gives

f'(x)/f(x) = 6 x'/x + 7 (x - 8)'/(x - 8) - 2 (x² + 2)'/(x² + 2)

f'(x)/f(x) = 6 (1)/x + 7 (1)/(x - 8) - 2 (2x)/(x² + 2)

f'(x)/f(x) = 6/x + 7/(x - 8) - 4x/(x² + 2)

Solve for f'(x) :

f'(x) = (6/x + 7/(x - 8) - 4x/(x² + 2)) f(x)

and replace f(x) with the given function :

f'(x) = (6/x + 7/(x - 8) - 4x/(x² + 2)) • x⁶ (x - 8)⁷ / (x² + 2)²

We can expand the product :

f'(x) = 6 x⁵ (x - 8)⁷ / (x² + 2)²+ 7x⁶ (x - 8)⁶ / (x² + 2)² - 4x⁷ (x - 8)⁷ / (x² + 2)³

then simplify by factoring :

f'(x) = x⁵ (x - 8)⁶/(x² + 2)³  • (6 (x - 8) (x² + 2) + 7x (x² + 2) - 4x² (x - 8))

Simplify the rest :

f'(x) = x⁵ (x - 8)⁶ (9x³ - 16x² + 26x - 96)/(x² + 2)³

!PLS HELP ASAP 30 POINTS !Determine the seating of an auditorium with 35 row of seats if there are 10 seats in the first row, 13 seats in the second row, 16 seats in the third row, 19 seats in the forth, and so on. What is the total number of seats?

Answers

Answer: 2135

step by step explanation:

I don't really think this is necessary

if Jenny buys 2 8-inch di|dos for 8$ then what is the total price

Answers

Answer:

$16

Step-by-step explanation 2 x 8 to 8 + 8 =16

Add the equations.3x-y=-5
7x+y=15

Answers

Step-by-step explanation:

it is like a regular addition of numbers. you add the different positions.

3x + 7x = 10x

-y + y = 0

-5 + 15 = 10

so, D. is the right answer : 10x = 10


Mark breaks up a 9-hour drive into 3 parts. He drives 2 1/2 hours before stopping for lunch. After driving some more, he stops for gas. If the second part of his drive was 1 2/3 longer than the first part, how long did he drive after stopping for gas?

Answers

Answer:

4 1/6 hours

Step-by-step explanation:

2 1/2 + 1 2/3 = 25/6 = 4 1/6

The chart below shows the number of tickets to the annual teachers VS.
students basketball game. What was the most number of tickets sold?

A. 12

B. 31

C. 40

D. 60

Answers

The answer to this question is A. 12

The most no. of tickets sold is 60.

What is bar graph?

The pictorial representation of data in the form of vertical or horizontal rectangular bars, whose length is proportional to the data's measurement, is known as a bar graph. Data are typically grouped in this way. Bar charts are another name for them. In statistics, bar graphs are one way to handle data.

Given  the graph between total student and number of ticket sold,

where students shown in Y axis and tickets sold in X axis,

as Shown in graph maximum number of tickets sold are 51 to 60

Hence the maximum number of ticket sold is 60.

Learn more about bar graph;

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#SPJ2

How do I figure this out

Answers

Answer:

D

Step-by-step explanation:

yeah-ya....................... right?

Answer:

D

Step-by-step explanation:

hope it help correct me if wrong

what rounds up to 5,620 to the nearest ten

Answers

5,610

Step by step explanation:

When rounding to the nearest ten, like we did with 5620 above, we use the following rules:

We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Answer: 5620

~~Step-by-step explanation~~

Rounding has a simple rule. 5 or above? Up you shove. 4 or below? Keep it low.

1. What are you using to round?

5620 : The tens place is the number we are either going to be rounding up or keeping. In this case, it is the 2 in 5620.5620 : When rounding to the nearest ten, you look at the ones section. In this case, it is the 0 in 5620.

2. Execution

When rounding up to tens, look at the ones value. If the number is 5 or above, round the tens place up a number. (ex. 5625 --> 5630) If the number is a 4 or below, keep the tens value the same. (ex. 5624 --> 5620)Since the ones place in 5620 is below a four, we are going to keep the tens value the same, so the answer is going to be 5620.

What are the prime numbers out of 4 5 6 7 8 9 ?

Answers

5 and 7

those are the prime numbers

Using substitution, evaluate the expression b-a, if a = -14 and b = -7.
O 21
O -21
-7
7.
Please help

Answers

a = -14
b = -7
b - a
(-7) - (-14)
-7 + 14
7
So the answer is 7

What are the length and width of a rectangular traffic sign if the length exceeds the width by 4 inches and the perimeter is 152 inches?

Answers

Answer:

L = 40

w = 36

Step-by-step explanation:

P = 2*L + 2*w

L = w + 4

w = w

P = 152

P = 2*(w + 4) + 2*w             Remove the brackets

P = 2w + 8 + 2w                  Combine and switch sides Use P = 152

4w + 8 = P

4w + 8 = 152                        Subtract 8 from both sides.

4w = 152 - 8

4w = 144                               Divide by 4

4w/w = 144/4                  

w = 36

L = w + 4

L = 36 + 4

L = 40

Ax+2y=10 through the point (4,3)

Answers

Answer:

can you give more context to the question and I will answer it in the comments? thanks!

Answer:

Slope-intercept form y=10x-37

Point slope form y-3=10(x-4)

Step-by-step explanation:

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