Josue knows that his aunt earns more money. than his uncle. He asked how much his aunt earns each month and was told, "$600 less than twice what your uncle earsn." If his aunt earns $4,200 per month, how much money does his uncle earn each month?

Answers

Answer 1

Answer:

Uncle's earnings is $2400

Step-by-step explanation:

Represent his uncle's earnings with x

$600 less than twice what your uncle earns is represented as:

[tex]2x - 600[/tex]

Since, his aunt's earnings is $4200.

We have:

[tex]2x - 600 = 4200[/tex]

Add 600 to both sides

[tex]2x - 600 + 600= 4200 + 600[/tex]

[tex]2x = 4800[/tex]

Solve for x

[tex]x = 4800/2[/tex]

[tex]x = 2400[/tex]

Hence, His uncle's earnings is $2400


Related Questions

If NK = 23, what is the value of x?

Answers

X = 13 because if NK = 23 that means the equation is x-6+9+2x-19 = 23 then you subtract 9 from each side of the equals sign and add the x’s together than add -6 to -19 and get a equation of 3x-25 = 14 then add 25 to each side and get 3x = 39 the divided 39 by 3 and get x = 13

What is 1/5 divided by 3/4? Then what is it reduced to lowest terms?

Answers

Answer:4/15

Step-by-step explanation:

Take 3/4 and flip it in half, making it 4/3, then multiply that by 1/5.

Answer:

4/15

Step-by-step explanation:

to divide fractions. flip the second fraction. then multiply

3           4

4           3

1   x    4    =   4

5  x    3        15

can't be simplified any further

Solve for x.

x/2≥−4

this is an inequality, could you explain as well? will give out brainliest answer :)

Answers

Answer:

x≥-8

Step-by-step explanation:

Let's do this step by step:

Step 1-

Take x/2≥-4. Now multiply both sides by 2 to isolate the x variable. Multiplying x/2 by 2 removes the denominator.

Step 2-

Since we are multiplying both sides by 2, we also have to multiply -4 by 2. We get -8

Step 3-

Therefore, x≥-8

Hope that helps :)

6x + 2 = 5x + 17, would there be one unique solution? What is it?

Answers

Answer:

X = 15

Step-by-step explanation:

1.- Rewrite the equation, Put like terms on the same side

6x - 5x = 2 - 17

Instead of adding subtract

2.- Divide 1 on both sides

1x = 15

You should only have X on the left side

3.- You should have

X = 15

Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!

Answers

Answer:

1) B

2) A

Step-by-step explanation:

B because we use pemdes and for 2 they answers are both equivalent

Answer:

1) B. Add/subtract the same quantity to/from both sides

2) Yes

Step-by-step explanation:

To answer Part B, we have to answer to equation.

Step 1- Add x to both sides of the equation.

4x+2= 6-x

+x         +x

5x+2= 6

Step 2- Subtract 2 to both sides of the equation.

5x+2= 6

   -2   -2

5x= 4

Step 3- Divide 5 to both sides of the equation.

5x= 4

5    5

This gives us 4/5 or 0.80.

So, the answer is yes to Part B.

Hope this helps!

Evaluate the following algebraic expression for the given value of the variable ​

Answers

Answer:

[tex]\boxed{8}[/tex]

Step-by-step explanation:

-Solve the following expression when [tex]x = 4[/tex]:

[tex]\frac{5x + 12}{4}[/tex]

-Apply the value of [tex]x[/tex] onto the equation:

[tex]\frac{5x + 12}{4}[/tex]

[tex]\frac{5(4)+ 12}{4}[/tex]

-Multiply both the [tex]5[/tex] and [tex]4[/tex]:

[tex]\frac{5(4)+ 12}{4}[/tex]

[tex]\frac{20+ 12}{4}[/tex]

-Add both [tex]20[/tex] and [tex]12[/tex]:

[tex]\frac{20+ 12}{4}[/tex]

[tex]\frac{32}{4}[/tex]

-Divide [tex]32[/tex] by [tex]4[/tex]:

[tex]\frac{32}{4}[/tex]

[tex]\boxed{8}[/tex]

So, therefore, the final answer is [tex]8[/tex].

Answer:

Step-by-step explanation:

My answer is 8!!!

If x is equal to 4 then 5x4=20 because if there is no sign then that means that you have to multiply, then you add 20 and 12 which is equal to 32, And then you simplify 4 which equals 8, or you can think of dividing 32 and 4 which is also 8.

Use the distributive property to write an equivalent expression.

8(4t + 9)

Answers

Answer:

32t+72

Step-by-step explanation:


Peter says, "If you subtract 13 from my number and multiply the difference by -3, the result is
- 69." What is Peter's number?

Answers

Answer:

Peter's number is 36.

Step-by-step explanation:

If you subtratct 13 from 36, you get 23.

If you multiply that times -3, you get -69.

(The way I got 23 was by dividing -69 and -3)

I hope this helped you even though it's late.

15+3x=45 I'm sorry but there will be a lot of questions I need to ask. But can someone help me with this one too?

Answers

Hey :)

x= 10

Subtract 15 from both sides
3x=45−15


Subtract 15 from 45 to get 30
3x=30

Divide both sides by 3.
x= 3/30


Divide 30 by 3 to get 10
x=10


Hope this helps :)

Answer:

x=10

Step-by-step explanation:

15+3x=45

-15        -15 *first subtract 15 from both sides

3x=30       * then divide by 3 on both sides to get x by itself

/3     /3

x=10

theres ur answer :D

 A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends 4 feet per second. The elevator for the miners descends 13 feet per second. One​ day, the equipment elevator begins to descend. After 33 ​seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 12 ​seconds? At that​ time, which elevator is​ deeper?

Answers

Answer:

The position of the equipment elevator is 180 feet deep

The position of the miner's elevator is 156 feet deep

The equipment elevator is deeper.

Step-by-step explanation:

From the question,

For the equipment elevator

Velocity (v) = 4 feet/second

and for the miner's elevator,

Velocity (v) = 13 feet/second

To determine the position of each elevator, the position can be related to the distance covered.

From

Velocity = Distance / Time

Distance = Velocity × Time

Now, from the question,

The equipment elevator first descends for 33 seconds, after which the miner's elevator then start to descend both elevators descend for another 12 seconds. That is, the equipment elevator descends for a total of (33+12) seconds while the miner's elevator descends for 12 seconds.

Now, for the equipment elevator

Velocity = 4 feet/second

Time = (33 + 12 seconds) = 45 seconds

From

Distance = Velocity × Time

Distance = 4 × 45

Distance = 180 feet

The position of the equipment elevator is 180 feet deep

For the miner's elevator,

Velocity = 13 feet/second

Time = 12 seconds

Also, from

Distance = Velocity × Time

Distance = 13 × 12

Distance = 156 feet

The position of the miner's elevator is 156 feet deep

Hence, the equipment elevator is deeper.

A factory can make 300 dozen doughnuts an hour. What is the unit rate in doughnuts per minute?
O 60 doughnuts a minute
O 58 doughnuts a minute
O 56 doughnuts a minute
50 doughnuts a minute

Answers

Answer:

60 doughnut per mintute

Step-by-step explanation:

Someone please help me!!!

Answers

i believe that is the answer

Which equation has solution x = -3?


A) 2x - 7 = -1
B) 3x + 8 = 1
C) 1/2x+8=10
D) 1/2(2x-6)=-6

Answers

Answer:

D) 1/2(2x-6)=-6 = x = -3

Step-by-step explanation:

A. x = 3

B. x = 7/3

C. x = 4

D. x = -3

Solve for x:

(2 x - 6)/2 = -6

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (2 x - 6)/2 = -6 by 2:

(2 (2 x - 6))/2 = -6×2

Hint: | Cancel common terms in the numerator and denominator of (2 (2 x - 6))/2.

(2 (2 x - 6))/2 = 2/2×(2 x - 6) = 2 x - 6:

2 x - 6 = -6×2

Hint: | Multiply 2 and -6 together.

2 (-6) = -12:

2 x - 6 = -12

Hint: | Isolate terms with x to the left hand side.

Add 6 to both sides:

2 x + (6 - 6) = 6 - 12

Hint: | Look for the difference of two identical terms.

6 - 6 = 0:

2 x = 6 - 12

Hint: | Evaluate 6 - 12.

6 - 12 = -6:

2 x = -6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 x = -6 by 2:

(2 x)/2 = (-6)/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

x = (-6)/2

Hint: | Reduce (-6)/2 to lowest terms. Start by finding the GCD of -6 and 2.

The gcd of -6 and 2 is 2, so (-6)/2 = (2 (-3))/(2×1) = 2/2×-3 = -3:

Answer: x = -3

I believe the answer is D

Please help! Will give brainliest!

Answers

Answer:

D.5

Step-by-step explanation:

4*5=20

8*5=40

12*5=60

..etc

brainliest?

Can you help me with this problem? 292.4 ÷ 17
Thanks I appreciate your help
Stay safe during quarantine! Have a nice day

Answers

The answer to this question is 17.2

Answer:

17.2

Step-by-step explanation:

divide the numbers together and it will equal 17.2

Noah and Diego left the amusement park’s ticket booth at the same time. Each moved at a constant speed toward his favorite ride. After 8 seconds, Noah was 17 meters from the ticket booth, and Diego was 43 meters away from the ticket booth. 1.Which line represents the distance traveled by Noah, and which line represents the distance traveled by Diego? Label each line with one name.​

Answers

Answer:

the blue line

Step-by-step explanation:

Answer:

Step-by-step explanation:himxbe

A negative number is raised to an even exponent. The result is
zero
one
O positive
negative

Answers

Answer:

positive I guess that's the answer

Answer:

positive

Step-by-step explanation:

The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number?
A.-4
B.-2
C. -1
D. 1

Answers

I think it is C maybe

If PQ = 2.1 and QR = 0.8, what is PR?

Answers

Answer:

2.9

Step-by-step explanation:

If the order is P, Q, R on the number line, add both segments together.

Which of them is correct? I'm like, slow right now.

Answers

Answer:

c

Step-by-step explanation:

.

.

.

.

.

.

.

.

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

Answer:

its the one you have clicked in the pic E

Step-by-step explanation:

a lab uses negative numbers to describe a car moving backward on a road if the car was at -75.5 feet ,went forward 23 feet and then forward again 14.5 feet where is the car now

Answers

Did you that that God loves you and wants the best for you

The difference of twice a number and 3 is at most -21

Answers

Answer:

The equation: 2n - 3 ≤ -21

The answer to the equation: n ≤ 9

Step-by-step explanation:

How to get the equation:

The difference of symbolizes subtraction. Because we are subtracting twice a number and 3, the first part of the equation can be written as 2n - 3. The n symbolizes the number.

is at most symbolizes a less than or equal to sign. That sign is ≤. And what is it less than or equal to? -21.

Now are equation is 2n - 3 ≤ -21

How to solve it:

2n - 3 ≤ -21

Add 3 to both sides of the equation

2n ≤ 18

Divide both sides of the equation by 2

n ≤ 9

A retiree has $200,000 to invest and needs to make $13,000 with her investments. If she can invest in government bonds at 6% or investment grade bonds at 8%, how much should she invest in each?

Answers

Answer:

She should invest 150,000 in government bonds and 50,000 in investment grade bonds

Step-by-step explanation:

Let the amount invested in government bonds be $y while the amount invested in investment bond be $x

Since total is $200,000

Then:

x + y = 200,000 ••••••(i)

Since 13,000 is what is expected to be earned, then this is like the interest.

thus;

6% of x + 8% of y = 13,000

6x/100 + 8y/100 = 13,000

Multiply through by 100

6x + 8y = 1300000 •••••••(ii)

From i, x = 200,000 - y

insert this into ii

6(200,000-y) + 8y = 1300000

1200000-6y + 8y = 1300000

2y = 1300000-1200000

2y = 100,000

y = 100,000/2

y = 50,000

but x + y = 200,000

thus, x = 200,000 - 50,000

x = 150,000

x + (2x + 40) + (3x – 50) = 15,002

Answers

Answer:

2497.22...

Step-by-step explanation:

Answer:

x + (2x + 40) + (3x - 50) = 15002

Remove the parentheses

x + 2x + 40 + 3x - 50 = 15002

Combine like terms

x + 2x + 3x + 40 - 50 = 15002

6x - 10 = 15002

6x = 15002 + 10

6x = 15012

x = 15012/6

x = 2502

Step-by-step explanation:

Hope it helps :)

Brainliest pls?

HELP HELP HELP PLS Does it matter which way you subtract the values when you are finding the distance between two numbers on a number line .Give example to support your answer please answer in complete sentence please it's about to be due.

Answers

Answer:

Yes, it matters which way you subtract values because if you subtract a larger number from a smaller number you will get a negative nummber, but when you subtract the smaller number from the bigger number you get a positive number

ex: 5-6= -1 but 6-5=1

Step-by-step explanation:

BRAINLIEST


What is the distance between points F(2,9) and G(4,14)? Round to the nearest whole number.
Give only the quantity in your response.
Your answer

Answers

I don’t know how to do this but i think the answer is 2,5 and it’s rounded to 3

What is an equation of the line that passes through the point (-2, -3) and is
parallel to the line 4x - y = 12

Answers

Answer: y = 4x + 5

Step-by-step explanation:

Find the slope of the second line.

4x - y = 12

-y = -4x + 12

y = 4x - 12

slope = 4

Therefore, the slope of the second line must also be 4.

Use point-slope form to write the equation.

y + 3 = 4(x + 2)

y = 4x + 5

As you walk to your car, you notice that your tire is nearly flat! The initial psi level yesterday was 40 but it is now only 38 today. If this trend continues and the tire keeps losing the same percentage of air, how much should be left at the end of the week rounded to 1 decimal? (7 days later)

Answers

Answer:

Step-by-step explanation:

Given that:

Initial psi yesterday = 40 psi

psi today = 38 psi

If trend continues and tire loses the same percentage of air. How much air will be left in tire at the end of the week

1 week ( 7days)

Total loss after 7 days = (amount lost per day * number of days)

Total psi lost per day= [(40 - 38) = 2

% psi lost = (2/40) * 100

= 5%

Applying the exponential loss functin:

A = I ( 1 - r)^t

t = 7days ; r = 5% = 0.05 ; A = amount left ; I = Initial amount

A = 40(1 - 0.05)^7

A = 40(0.95)^7

A = 40 * 0.69833729609375

A = 27.933

A = 27.9 psi

Which of the following is an example of a rational number that is not an integer?

Answers

Uh what is the followijg LOL LEL

Evaluate a2-b for a = 8 and b = 17.
The value of the expression is

Answers

Answer:

-1

Step-by-step explanation:

Assumuning your asking what a2-b is.

8(2) - 17

-1

Answer:

-1

Step-by-step explanation:

If A= 8 and B= 17...

8(2)-17

16-17

-1

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