the sum of two numbers is -12 one number is 3 less than twice the other what is the bigger number

Answers

Answer 1

STEP 1:
x= one number
2x-3= other number

x + (2x-3)= -12
combine like terms

3x - 3= -12
add 3 to both sides

3x= -9
divide both sides by 3

x= -3 one number

STEP 2:
substitute x= -3 to find other number
2x-3= 2(-3)-3= -6-3= -9 other number

CHECK:
-3 -9= -12
-12= -12

ANSWER: One #= -3, Other #= -9

Hope this helps! :)

Related Questions

4/15 divided by 8/25

Answers

It's about .83333. You divide 4/15 first and then 8/25. then you divide both after that

4 25 100 5
- x - =. - simplify≈ -
15 8 120 6
multiply by the reciprocal to divide fractions

the sum of the real numbers x and y is 15. their difference is 3. what is the value of xy?

Answers

x+y=15,
x-y=3
the easiest way is the find out x and y first:
add up the two equations: 2x=18, x=9
plug x=9 in either equation, you get y=6
so xy=6*9=54
Another way to do it:

(x+y)²=15²=225 =>x²+2xy+y²=225
(x-y)²=3²=9 =>x²-2xy+y²=9
subtract one equation from the other: 4xy=225-9=216, xy=54

The value of xy is such that the sum of the real numbers x and y is 15 and their difference is 3 is 54.

What is a number system?

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Given that sum of the x and y is 15

So,

x + y = 15

And difference

x - y = 3

By adding both equations,

2x = 18

x = 9 and y = 6

So their product 9 × 6 = 54.

Hence "The value of xy is such that the sum of the real numbers x and y is 15 and their difference is 3 is 54".

For more about the number system,

https://brainly.com/question/22046046

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20-3(m-1)=-4 What is m??

Answers

Let's do this step by step:

20-3(m-1)=-4
20-3m+3=-4
23-3m=-4
-3m=-27
m=9
To check if this answer is correct, simply substitute m with 9 and you will get 9=9

The table below shows the distance d(t) in feet that an object travels in t seconds:

t
(seconds)
d(t)
(feet)
3
126
4
224
5
350
6
504

What is the average rate of change of d(t) between 3 seconds and 5 seconds, and what does it represent?

Answers

Average change of d(t) between 3s and 5s=(d(5)-d(3))/(5-3)=(350-126)/2=224/2=112 ft/t. This represents the average speed of the object between 3s and 5s.

This picture shows a feeding trough that is shaped like a right prism 5,4,6. list each face of the feeding trough . What is the surface area of the trough?
Please help

Answers

Two sides are 4 by 5.
Two sides are 4 by 6.
Two sides are 5 by 6.
Since it's a feeding tough, I assume the top face is open and not there, so one of the six sides listed above is missing, but without a picture, I can't tell which one it is.

Answer:

Step-by-step explanation:

Lionel is planning a one-day outing

Answers

The answer is C. If we want to go on x rides, we need to pay 40+5x dollars at Thrill Park, and 60+3x dollars at Splash Park. The average money needed for each ride is (40+5x)/x at Thrill Park, (60+3x)/x at Splash Park. Therefore, the system of equations is y=(40+5x)/x, and y=(60+3x)/x.

Find the sum of 5 smallest consecutive whole numbers.

Answers

0+1+2+3+4= 10

that is the answer

Answer:

Step-by-step explanation:

Samantha works at a nursery where she pots plants. It takes her 1 1/2 hours to pot 12 plants. How many plants can Samantha pot in 1 hour? (Please give me the equation you used.)

Please help fast!

Answers

To answer this you could write the first rate that is given (12 plants: 1.5 hours in fraction form and make it equivalent to a second rate of x: 1 hour. X represents the number of plants in an hour.

You can use cross products to solve for x. Please see the attached picture for the steps. The answer is 8 plants.

Final answer:

Samantha can pot 8 plants in 1 hour.

Explanation:

To find out how many plants Samantha can pot in 1 hour, we need to determine how many plants she can pot in 1 1/2 hours and then convert that to 1 hour.

If Samantha can pot 12 plants in 1 1/2 hours, we can set up a proportion to find out how many plants she can pot in 1 hour:

12 plants / 1.5 hours = x plants / 1 hour

To solve for x, we can cross multiply:

12 * 1 = 1.5 * x

12 = 1.5x

To isolate x, divide both sides of the equation by 1.5:

x = 12 / 1.5

Simplifying the equation, we get:

x = 8

Therefore, Samantha can pot 8 plants in 1 hour.

Write the equation of the function graphed.

a)f(x) = |x + 4|

b)f(x) = |x – 4|

d)f(x) = |x| + 4

d)f(x) = |x| – 4

Answers

The correct answer is: [D]: " f(x) = |x| – 4 " .

{that is, the last answer choice given.}.
_______________________________________________________
Note:

This graph contains the points: " (-4, 0) " ; and " (0, 4) " .
________________________________________________________
The last answer choice given: [D]: " f(x) = |x| – 4 " ; is the only answer choice containing BOTH points.
________________________________________________________

What is the slope of a line that is perpendicular to the line shown?
(3, 3) (-3, -1)

Answers

Answer:

-3/2

Step-by-step explanation:

The line shown has slope ...

... (y2 -y1)/(x2 -x1) = (-1 -3)/(-3 -3) = -4/-6 = 2/3

The slope of the perpendicular line is the opposite of the reciprocal of this:

... -1/(2/3) = -3/2

Quadrilateral ABCD is inscribed in a circle.

What is the measure of angle A?

Enter your answer in the box.

m∠A= ____°

Answers

2(4x+5)+2(x+15)=360
8x+10+2x+30=360
10x=320
x=32

∠A=4×32+5=133º

Answer:

133

Step-by-step explanation:

Given is a cyclic quadrilateral ABCD.

We know that in a cyclic quadrilateral, opposite angles are supplementary.

A+C =180

Given that A = 4x+5 and C = x+15

Add these and equate to 180

[tex]4x+5+x+15 =1805x=180-20 =160x=32A= 4(32)+5 =133[/tex]

Verify:

When x= 32, Angle C = 47

A+C = 133+47 = 180

Hence right answer

What are the coordinates of the vertex of the table? Is it a minimum or a maximum? X Y 0 1 -1 -2 -2 -3

Answers

First, We observe that the function is a parabola that grows
For this case, we must first graph the function to observe the behavior of the same.
We see that the vertex of the function is located at the point:
(x, y) = (- 2, -3)
The point is a minimum.
Answer:
(x, y) = (- 2, -3)
It is a minimum.
See attached image.

If it's 10 A.M. Eastern Standard Time in New York City, what time is it in Los Angeles? A. 1:00 P.M. B. 9:00 A.M. C. 7:00 A.M D. 12:00 P.M.

Answers

7:00 am C. Hope this helps!

HEY THERE!!

The answer is C. 7:00 A.M.

~ TRUE BOSS

A company pays its commercial agents 5% of any deal. What should the value of a deal be for the agent to earn $2000?

Answers

The value of the deal should be $40,000.

remember that 5% as a decimal is .05.Let x = value of deal
The equation would be .05x = $2000
Divide both sides by 0.05.
x=40,000

Answer:

The value of the deal should be $40,000.

Step-by-step explanation:

remember that 5% as a decimal is .05.Let x = value of deal

The equation would be .05x = $2000

Divide both sides by 0.05.

x=40,000

The local sports shop has backpacks on sale for $28. The original price was $40. What is the percent decrease for the backpack price?

Answers

30%. 40-28 =12. 12/40 =30%

Help!! There are at least 3 slices of bread left in the bag how do I write an inequality for that?

Answers

at least = 3 or more
x = slices of bread
x ≥ 3
the "≥" means greater than or equal, which basically means at least

Answer:

I need help on this question too but instead of 3 its 7!!! i also need to write both a inequality and a graph! pls respond as fast as possible.

Step-by-step explanation:

thanks

Bonds from the city of Denver with a face value of $1,000 each are selling at 110.611. If Sean wishes to purchase three such bonds, how much can he expect to pay?

Answers

A bond quote (100.611) is the last price bond is traded at. A bond quote is the percentage of a face value.
In this case, the bond quote is 110.611 which means that bond is traded at 110.611% of its face value.
If Sean wants to buy 3 bonds he needs to pay:
3*1000*110.611/100=$3318.33

Answer:

The answer is C-3,318.33

Step-by-step explanation:

just took the test homie

a cookie recipe calls for 2/3 cup of sugar if you have three cups of sugar in your pantry how many batches of cookies can you make

Answers

Hello!

2/3 × 3 = 2

You can make 2 batches of cookies.

if the legs of a right triangle are 8 and 10, find the length of the hypotenuse

Answers

Hello there!

You need to use the Pythagorean theorem.

a² + b² = c²

8² + 10² = c²

64 + 100 = c²

164 = c²

c = √164

c = 2√41

Decimal is 12.8

Thus, the length of the hypotenuse is 12

Let me know if you have any misunderstanding about the answer!

As always, I am here to help!

Hello!

We can use Pythagoras' Theorem to solve this problem. The Pythagorean Theorem:

a² + b² = c², where c is the hypotenuse.

Your two legs measure 8 and 10; substitute them into the theorem:

a² + b² = c²
8² + 10² = c²
64 + 100 = c²
164 = c²
12.81 ≈ c

Answer:
The length of the hypotenuse is approximately 12.81 units.

these are so hard please help me and answer the last 4 I posted

Answers

kai:
6 days = 1 shed
1 day = 1/6 shed

Mark:
8 days = 1 shed
1 day = 1/8 shed

Together:
1 day = 1/6 + 1/8 shed

Ans: 1/6d + 1/8d = 1

The first thing you should know is that the rate of each one is:
Kaitlyn = 1/6
Mark = 1/8
Then,
d = number of days.
The equation then if they work together is:
1 / 6d + 1 / 8d = 1
answer:
the equation for number of days it would take to build the sheld together is
1 / 6d + 1 / 8d = 1

help help help !!!!!!!!

Answers

4/5 × 12/2
4 × 12/5 × 2
48/5 × 2
48/10

= 24/5

ok
Keep, Change, Flip.

4/5 divided by 2/12.

Keep 4/5
Change division to multiplication.
Flip 2/12 to 12/2

4/5 x 12/2 =
24/5

What would be the radius of A= 530.66 square meter

Answers

530.66÷3.14=169
√169=√r²
13=r

I need help I would really thank wheeler answers this for me

Answers

It helps immensely if you know your times tables.

a) 36 = 6*6 = 2*3*2*3 = 2^2*3^2

b) 45 = 5*9 = 5*3*3 = 3^2*5

c) 2 is not a common factor; 3^2 is a common factor; 5 is not a common factor. The greatest common factor is 3^2 = 9.

d) The least common multiple can be found a couple of ways.

.. 1) the product of the distinct factors to their highest powers
.. .. .. 2^2 * 3^2 * 5 = 180

.. 2) the product of the numbers divided by their greatest common factor.
.. .. .. 36 * 45 / 9 = 180

beth owes 17,000 on her car loan. The interest rate on her loan is 4.25% She will be paying this loan off for 4 years. How much will she pay altogether?

Answers

Final answer:

To find the total payment Beth will make on her car loan, calculate the total cost using the loan formula. Beth will pay a total of $19,890 in total.

Explanation:

Beth owes $17,000 on her car loan with a 4.25% interest rate, to be paid off over 4 years. To calculate the total amount she will pay, you use the formula for calculating the total cost of a loan: Total Payment = Principal + (Principal x Interest Rate x Time).

Principal = $17,000Interest Rate = 4.25% = 0.0425Time = 4 years.

Plugging in the values:

Total Payment = $17,000 + ($17,000 x 0.0425 x 4)

Beth will pay a total of $17,000 + ($17,000 x 0.0425 x 4) = $17,000 + $2890 = $19,890 altogether.

Of the four choices given, which two, when written as a system, have a solution of (–4, 5)?

Answers

It's A i just took the test.

Find the probability that when a couple has three children, at least one of them is a girl. (Assume that boys and girls are equally likely.)

Answers

Consider this option (2 ways for this):
1. Probability=1-[probability_all_boys].
for [probability_all_boys]=1/[all_possible_combinations];
for [all_combinations]=2³=8. It means that
Probability=1-(1/8)=7/8=0.875.
2. Probability=[needed_cases]\[all_possible_cases];
all possible combinations are:
bbb;ggg;bgg;bgb;bbg;gbg;gbb;ggb; - (where 'g' - girl, 'b' - boy) total 8.
needed cases: ggg;bgg;bgb;bbg;gbg;gbb;ggb, - total 7.
Probability=7/8=0.875

Final answer:

The probability of having at least one girl when a couple has three children can be found by calculating the probability of having all boys and subtracting it from 1.

Explanation:

Probability that at least one child is a girl:

Find the probability of having all boys: (1/2)³ = 1/8

Subtract this from 1 to get the probability of having at least one girl: 1 - 1/8 = 7/8

Which of the following is not a way to represent the solution of the inequality 2(x − 2) less than or equal to 2?

A number line with a closed circle on 3 and shading to the right
A number line with a closed circle on 3 and shading to the left
3 greater than or equal to x
x less than or equal to 3

Answers

The answer is A A number line with a closed circle on 3-

Answer:

The correct option is 1.

Step-by-step explanation:

The given inequality is

[tex]2(x-2)\leq 2[/tex]

Divide both the sides by 2.

[tex]\frac{2(x-2)}{2}\leq \frac{2}{2}[/tex]

[tex](x-2)\leq 1[/tex]

Add 2 on both the sides.

[tex]x-2+2\leq 1+2[/tex]

[tex]x\leq 3[/tex]

The value of x is than or equal to 3. In other words 3 greater than or equal to x.

Since the sign of inequality is ≤, therefore a number line with a closed circle on 3 and shading to the left represent the above inequality.

Only the statement "A number line with a closed circle on 3 and shading to the right" is not is not a way to represent the solution of the given inequality.

Therefore the correct option is 1.

If John's car gets an average of 18 mpg and he fills his tank with 26.7 gallons of gas, how far can John travel on a tank of gas?

Answers

480.6 miles

multiply 18 by 26.7 to get that answer

Answer:

480.6 miles.

Step-by-step explanation:

We have been given that John's car gets an average of 18 mpg. John fills his tank with 26.7 gallons of gas.

To find the distance traveled by John's car, we will multiply the distance covered per gallon by number of gallons in the tank.

[tex]\text{Total distance traveled by John's car}=\frac{18\text{ miles}}{\text{gallon}}\times \text{26.7 gallons}[/tex]

[tex]\text{Total distance traveled by John's car}=18\text{ miles}\times 26.7[/tex]

[tex]\text{Total distance traveled by John's car}=480.6\text{ miles}[/tex]

Therefore, John can travel 480.6 miles on a tank of gas.

What is the constant of proportionality in the equation 2y=6x

Answers

The constant of proportionality in the equation 2y = 6x is [tex]$ \frac{1}{3} $[/tex].

In the equation (2y = 6x), the constant of proportionality represents the relationship between x and y. To isolate it, divide both sides of the equation by (6x):

[tex]\[\frac{2y}{6x} = \frac{6x}{6x}\][/tex]

This simplifies to:

[tex]\[\frac{1}{3} = \frac{y}{x}\][/tex]

So, the constant of proportionality is [tex]$1/3$[/tex], indicating that for every unit increase in x, y increases by [tex]$1/3$[/tex].

Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. To the nearest foot, How high above the ground the is the helicopter

Answers

For this case what you should know is that you should model the problem as a triangle with a right angle.
We then have the following trigonometric relationship:
Tan (30) = y / 200
Clearing the value of and we have:
y = 200 * tan (30)
y = 115.4700538
Nearest foot:
y = 116 feet.
Answer:
the helicopter is 116 feet above the ground

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