[-12] + [4] find the absolute value of each integer then add them

Answers

Answer 1

Hello there!

Answer:

16

Step-by-step explanation:

[tex] |x| = x \: \: \: if \: \: x \: \geqslant 0 \\ |x| = - x \: \: \: if \: \: \: x \: \leqslant 0[/tex]

-12 < 0 so |-12| = -(-12) = 12

4 > 0 so |4| = 4

|-12| + |4| = 12 + 4 = 16

Answer 2

Answer:

16

Step-by-step explanation:

Hello! This question is looking for the absolute value of integers. The absolute value is the distance the number has from zero. For example, -12 as twelve numbers away from zero, twelve away in the negative direction. The absolute value of -12, then, is just twelve. An easy way to remember this is to take away the negative sign when taking the absolute value, since an absolute value can never be negative. The absolute value sign is represented by a squarish bracket [ and ].

This question says to find the absolute value of each integer and then add the two. First we have [-12]. This is 12 away from zero, and we can take away the - sign from the asked integer and we get 12.

The second integer given is 4, and when we take the absolute value of 4, [+4], we get positive four. This is because four is four spaces away from zero on the number line.

Thus, we have +12 and +4 as are values to add since they are the absolute values and we can form this equation

12+4=16

Thus, the answer is 16.

Hope this helps! Remember the hint, when something has brackets like that or asks for the absolute value, take away a negative sign and make it positive! Have a great day!


Related Questions

What's the equation and solution?​

Answers

Using the Algebraic tile method we get x=2 solution for equation model

What is Algebraic Tile method?

The algebra tile method is a method of solving equations by using visual models, such as tiles with different values on them, to represent the unknowns and constants in the equation. It is often used to help students understand the process of solving equations and to see how the operations of addition and subtraction correspond to the process of combining or separating algebraic expressions.

In the question, we have 3 kinds of tile

X tilesunit positive tilesunit negative tiles

Equation will be :

⇒ 3x - 1 - 1 = 1 + 1 + 1 + 1

⇒ 3x - 2 = 4

⇒ 3x = 6

⇒ x = 2

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100 points Pls help me with the red ones

Answers

Answers:
For 36 people with peanuts = 9 cups
For 4 people with peanuts = 1 cup
For 6 people with peanuts = 1.5 cups
For 4 people with M & MS = 8/12 cups or 0.67 cups
For 6 people with M & MS = 1 cup
For 36 people with raisins = 1.5 cups
For 4 people with raisins = 2/12 cups or 0.17 cups
For 6 people with raisins = 0.25 cups
For 36 people with candy corn = 3.9 cups
For 4 people with candy corn = 0.43 cups
For 6 people with candy corn = 0.65 cups

Step-by-step explanation:
1. Set up a proportion to find how many cups it takes to feed 36 people peanuts given that it takes 3 cups to feed 12 people. This means that the proportion would be 3/12 = x/36. Cross multiply. This would give you 12x = 108. Divide 12 on both sides. Now, the equation is solved since you found out x = 9 cups.

2. Set up a proportion to find how many cups it takes to feed 4 people peanuts given that it takes 3 cups to feed 12 people. This means that the proportion would be 3/12 = x/4. Cross multiply. This would give you 12x = 12. Divide 12 on both sides. Now, the equation is solved since you found out x = 1 cup.

3. Set up a proportion to find how many cups it takes to feed 6 people peanuts given that it takes 3 cups to feed 12 people. This means that the proportion would be 3/12 = x/6. Cross multiply. This would give you 12x = 18. Divide 12 on both sides. Now, the equation is solved since you found out x = 1.5 cups.

4. Set up a proportion to find how many cups it takes to feed 4 people M & Ms given that it takes 2 cups to feed 12 people. This means that the proportion would be 2/12 = x/4. Cross multiply. This would give you 12x = 8. Divide 12 on both sides. Now, the equation is solved since you found out x = 0.67 cups.

5. Set up a proportion to find how many cups it takes to feed 6 people M & Ms given that it takes 2 cups to feed 12 people. This means that the proportion would be 2/12 = x/6. Cross multiply. This would give you 12x = 12. Divide 12 on both sides. Now, the equation is solved since you found out x = 1 cup.

5. Set up a proportion to find how many cups it takes to feed 36 people raisings given that it takes 0.5 cups to feed 12 people. This means that the proportion would be 0.5/12 = x/36. Cross multiply. This would give you 12x = 46.8. Divide 12 on both sides. Now, the equation is solved since you found out x = 3.9 cups.

6. Set up a proportion to find how many cups it takes to feed 4 people raisins given that it takes 0.5 cups to feed 12 people. This means that the proportion would be 0.5/12 = x/4. Cross multiply. This would give you 12x = 2. Divide 12 on both sides. Now, the equation is solved since you found out x = 0.17 cups.

7. Set up a proportion to find how many cups it takes to feed 6 people raisins given that it takes 0.5 cups to feed 12 people. This means that the proportion would be 0.5/12 = x/6. Cross multiply. This would give you 12x = 3. Divide 12 on both sides. Now, the equation is solved since you found out x = 0.25 cups.

8. Set up a proportion to find how many cups it takes to feed 36 people candy corn given that it takes 1 1/3 cups to feed 12 people. Simplify 1 1/3 to 1.3. This means that the proportion would be 1.3/12 = x/36. Cross multiply. This would give you 12x = 46.8. Divide 12 on both sides. Now, the equation is solved since you found out x = 3.9 cups.

9. Set up a proportion to find how many cups it takes to feed 4 people candy corn given that it takes 1 1/3 cups to feed 12 people. Simplify 1 1/3 to 1.3. This means that the proportion would be 1.3/12 = x/4. Cross multiply. This would give you 12x = 5.2. Divide 12 on both sides. Now, the equation is solved since you found out x = 0.43 cups.

10. Set up a proportion to find how many cups it takes to feed 6 people candy corn given that it takes 1 1/3 cups to feed 12 people. Simplify 1 1/3 to 1.3. This means that the proportion would be 1.3/12 = x/6. Cross multiply. This would give you 12x = 7.8. Divide 12 on both sides. Now, the equation is solved since you found out x = 0.65 cups.


Can y’all help me on question 4?!

Answers

Answer:

D

Step-by-step explanation:

Frank is at point G: (-6,-1)

Jimmy is at point B: (4,1)

The data reflects the amount of time spent on homework (x), paired with a corresponding test grade (y).

How can the y-intercept of the line be interpreted?

The minimum time spent on homework is approximately 72 hours.
The average time spent on homework is approximately 7.9 hours.
If no time is spent on homework, the test grade is approximately 72.
If no time is spent on homework, the test grade is approximately 7.9.

Answers

Answer:

If no time is spent on homework, the test grade is approximately 72.

Step-by-step explanation:

The y-intercept of the line can be interpreted if no time is spent on homework, the test grade is approximately 72.

What is the y intercept?

A graph can be described as a pictorial representation of data. A graph is made up of a x-axis and a y-axis.  The y-intercept is the point where the line crosses the y-axis. The y-intercept is the value of the data set when x is zero.

If x is zero, y = 0 + 72

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PLEASE HELP!!! THANK YOU!!!
You have $1000 to invest in an account and need to have $2000 in one year. What interest rate would you need to have in order to have this if the amount is compounded weekly? Round your answer to the nearest percent.
A. 4%
B. 2%
C. 3%
D. 1%

Answers

Answer:

A. 4%

Step-by-step explanation:

remember that there are 52 weeks in a year, so multiply 1000 by each answer, then multiply what you get by 52 to see if it is either below 2000 or just above 2000, and you'll see how i got 4%.

Answer:

3 or 2

Step-by-step explanation: I don't know, but I am gonna say that is the interest rate for the invest for saving up $2000

(Please correct me if I am wrong)

Estimate a 15% tip on a dinner bill of $49.35 by first rounding the bill amount to the nearest ten dollars.

Answers

9514 1404 393

Answer:

  $7.50

Step-by-step explanation:

Rounded to the nearest $10, the $49.35 bill becomes $50.

We can find 10% of that amount by moving the decimal point to the left. 10% of $50 is $5.00.

Then 5% of $50 is half of 10%, so is $5/2 = $2.50.

The estimated tip of 15% is the sum of 10% and 5% of the bill, so is ...

  15%($50) = 10%($50) +5%($50) = $5.00 +2.50 = $7.50

The estimated 15% tip is $7.50.

Ayuda porfa doy corona

Answers

3/4 > 1/5
6/9 > 2/5
6/7 > 3/10
2/11 < 4/9

Answer:

3/4 > 1/5

6/9 > 2/5

6/7 > 3/10

2/11 < 4/9

Step-by-step explanation:

Manera facil de comparar fracciones:.

3/4    1/5

Multiplica el denominador (numero abajo) de cada fraccion por el numerador de la otra fraccion y escribe el producto arriba del numerador.

El numero mas grande esta arriba de la fraccion mas grande.

5 x 3 = 15 arriba  de 3/5

4 x 1 = 4 arriba de 1/5

Como 15 > 4, 3/4 > 1/5

30      18

6/9    2/5

6/9 > 2/5

 60     21

6/7    3/10

6/7 > 3/10

18       44

2/11   4/9

2/11 < 4/9

The makers of the movie Harry Potter need to
create Hogwarts. The maker created a scale
drawing of Hogwarts before he began building
the model. The length of the drawing for
Hogwarts is 13 inches. The length of the actual
model is 78 feet. What scale did the maker use
to create the scale drawing of Hogwarts?
A.
B.
1 inch represents 13 feet
6 inch represents 13 feet
1 inch represents 78 feet
1 inch represents 6 feet

Answers

Answer:

78 ft x 1 in/ 13 in = 6 ft

1 inch represent 6 ft

1) Is a t-Distribution Appropriate?
A sample with size n=75 has x¯=18.92, and s=10.1. The dotplot for this sample is given below.
Indicate whether or not it is appropriate to use the t-distribution.
Yes / No
If it is appropriate, give the degrees of freedom for the t-distribution and give the estimated standard error. If it is not appropriate, enter -1 in both of the answer fields below.
Enter the exact answer for the degrees of freedom and round your answer for the standard error to two decimal places.
df=
standard error =
2) Is a t-Distribution Appropriate?
A sample with size n=10 has x¯=508.5, and s=21.5. The dotplot for this sample is given below.
Indicate whether or not it is appropriate to use the t-distribution.
Yes / No

Answers

Answer:

1) Yes

2) No

Step-by-step explanation:

In the first test  t distribution is  appropriate to use because  in the dot plot the  16 data points can be seen other the the data points clustered round the mean.

Here degrees of freedom = n-1= 74

S. E= s/√n

S.E= 10.1/ √74= 1.17

For t - distribution it is assumed that the sample is approximately normal which is  visible in the dot plot in the first test.

In the second case z test should be applied.

Z test is used when the population standard deviation is not known .

In the second test  t distribution is   not appropriate to use because  in the dot plot only 2 data points can be seen other the the data points clustered round the mean.

For t - distribution it is assumed that the sample is approximately normal which is not visible in the dot plot.

2. Construct Arguments Explain why -7 has a
greater absolute value than the absolute value
of 6.
5.-9
7.1-5
9. --
11.-1

Answers

Answer:

See below

Step-by-step explanation:

Absolute value is the positive distance from 0, so |-7| = 7 because -7 is 7 from 0, whereas 6 is 6 away from 0. Because 7>6, then -7 has a greater absolute value than 6

find -2/6 + (5/6) model the expression on the number line

Answers

The final point on the number line will be at 2/3 from 0 point, which represents the value of the expression -2/6 + (5/6).

Modelling  -2/6 + (5/6 on the number line

To correctly model the expression -2/6 + (5/6) on a number line, we can use the following steps:

Start at 0 on the number line.Move to the left by 1/3. This represents the value of -2/6 which is equivalent to -1/3.Move to the right by 5/6. This represents the value of 5/6.The final point on the number line will be 2/3 to the right of the point (-1/3) which we reached in step 2, this represents the sum of -2/6 and 5/6, which is the final result.

So to model the expression -2/6 + (5/6) on a number line, we start at 0 and move 1/3 to the left, to represent -2/6, and then move 5/6 to the right to represent 5/6. The final point on the number line will be at 2/3 from 0 point, which represents the value of the expression -2/6 + (5/6).

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need help asappppppp ​

Answers

No picture u need to upload a picture so I can answer it
Don’t see nothing to help

20 x 321-15 x 141
What is the value of the expression?

Answers

Answer:

4305

Step-by-step explanation:

can someone help me with this PLEASE ITS KILLING ME!!!!

Answers

Volume of triangular prism is 45
Volume of rectangular prism is 112
45+112=157
Answer is 157

2x+3y=9. SOLVE FOR X

Answers

The answer is y = -2/3x + 3

Answer:

Step-by-step explanation:

Let's solve for x.

2x+3y=9

Step 1: Add -3y to both sides.

2x+3y+−3y=9+−3y

2x=−3y+9

Step 2: Divide both sides by 2.

2x/ 2 = −3y+9/ 2

x= −3/ 2 y+ 9/ 2

Answer:

x= −3/ 2 y+ 9/ 2

Find the distance between the two points.
✓ [?]
(-1,-2)
(3,-1)
Enter the number that
goes beneath the
radical symbol.

Answers

Answer:

d = √17, meaning that the number that goes beneath the radical symbol is 17.

Step-by-step explanation:

Refresh if you are unable to see below.

[tex]\text{Use the distance formula.}\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\text{Substitute the points.}\\d=\sqrt{(3-(-1))^2+((-1)-(-2))^2}\\\text{Subtract.}\\d=\sqrt{(4)^2+(1)^2}\\\text{Evaluate the powers of 2.}\\d=\sqrt{16+1}\\\text{Add.}\\d=\sqrt{17}[/tex]

Which expression is equivalent to (ab6)4?

a4b24
ab24
a5b10
ab28

Answers

Answer:

a^4b^24

Step-by-step explanation:

We know, (xy)^n = x^ny^n. So,

(ab^6)^4 = a^4b^(6×4)

= a^4b^24

4.4) Find the least number by which 768 must be multiplied so as to make it a perfect square​

Answers

Answer:

3

Step-by-step explanation:

768 can be broken down to:

2×2×2×2×2×2×2×2×3

The part made up of twos is already a perfect square. The 3 needs a partner for it to be a perfect square also.

768 × 3 is 2304.

Sqrt2304 is 48.

Multiply 768 by 3 to make it a perfect square.

Solution

Refer To The Given Image

I NEED HELP PLS HELP ME ASAP!!! I'LL GIVE YOU 100 POINTS!

Answers

Answer:

189 sq mm

Step-by-step explanation:

area = (21×18)/2 = 189 sq mm

It’s 189. Half of 18 is 9 and 9 x 21 = 189.

Ramon and 2 of his friends will run a relay race. The length of the race is 1/3 mile. If each person runs the same distance, how far will
Ramon run?

Answers

Ramon will run 1/9 of a mile

Answer:

Ramon will run 1/9 of a mile.

Step-by-step explanation:

The relay race is 1/3 of a mile and there are three of them in his relay squad, himself and his two friends.

If three of them finish each sector and each sector is the same, that means that each of the members will run a third of that distance.

[tex]\frac{1/3}{3}\\=\frac{1}{3} (\frac{1}{3} )\\=\frac{1}{3(3)}\\=\frac{1}{9}[/tex]

A kite is flying 24 ft off the ground. Its line is pulled taut and casts a 7-ft shadow. Find the length of the line. If necessary, round your answer to the nearest tenth.

Answers

The side lengths are;

tan x = e/f

cos x = e/d

sin x = f/d

What is a right angled triangle?

We know that a right angled triangle is the kind of triangle that one of the sides of the triangle would be 90 degrees.

There are some ratios that are associated with the right angled triangle and we call them the trigonometric ratios. These include the sine the cosine and the tangent. All of these ratios does depend on the lengths of the sides of the right angled triangle.

The sides of the right angled triangle are the opposite, the adjacent and the hypotenuse and these can be obtained based on the relative position of the angle.

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3/4 of a cup of sugar is needed to make 3 1/3 batches of banana bread.How much is needed to make 1 batch?​

Answers

Answer:9/40

Step-by-step explanation:

3/4=10/3x

3/4*3/10=x

9/40=x

please help me!
Please explain it​

Answers

Answer:

1,416 cm²

Step-by-step explanation:

There are various lines dividing this figure into shapes, such as rectangles and triangles; this makes it easier to find the area.

To find the area of a triangle, multiply the base and the height, then multiply the product by 1/2.To find the area of a rectangle, multiply the width by the length.

First, find the area of the triangles.

In this figure, there are two triangles with heights of 12 and bases of 18.

[tex]12 * 18 = 216[/tex]

Then, multiply the product by 1/2.

[tex]216 * 1/2 = 108[/tex]

There are two triangles, so multiply, the product, 108, by 2.

[tex]108*2 = 216[/tex]

The area of both combined triangles is 216 cm; the area of a single triangle is 108 cm.

Secondly, find the area of the rectangles.

There are two rectangles with widths of 25 and lengths of 15.

[tex]25*15 = 375[/tex]

There are two rectangles, so multiply the product, 375, by 2.

[tex]375*2 = 750[/tex]

The area of both rectangles combined is 750 cm; the area of a single rectangle is 375 cm.

Lastly, we find the area of the rectangle in the middle.

This rectangle has a length of 18 and a width of 25.

18[tex]18*25 = 450[/tex]

The area of this rectangle is 450 cm.

Lastly, add the areas of all the shapes.

[tex]108 + 108 + 375 + 375 + 450 = 1,416.[/tex]

Therefore, the area of this figure is 1,416 cm².

Plz help I will give brainiest

Answers

Answer:

50% for all of em

Step-by-step explanation:

A student is graduating from college in 12 months but will need a loan in the amount of $10,958 for the last two semester. The student may receive either an unsubsidized Stafford Loan or a PLUS Loan. The terms of each loan are:

Unsubsidized Stafford Loan: annual interest rate of 3.85%, compounded monthly, and a grace period of six months from time of graduation

PLUS loan: annual interest rate of 4.15%, compounded monthly, with a balance of $11,421.51 at the time of repayment

Which loan will have a higher balance, and by how much at the time of repayment?

Answers

Answer:

To determine which loan will have a higher balance at the time of repayment, we need to calculate the balance of each loan after the interest has been compounded over the repayment period.

The unsubsidized Stafford Loan has an annual interest rate of 3.85% and a grace period of six months from the time of graduation. This means that the loan will accrue interest for a total of 12 months - 6 months = 6 months.

The balance of the unsubsidized Stafford Loan at the time of repayment can be calculated using the following formula:

Balance = Principal * (1 + Interest rate / Number of compounding periods per year)^(Number of compounding periods)

Plugging in the given values, we have:

Balance = $10,958 * (1 + 0.0385 / 12)^(6) = $10,958 * (1.003125)^(6) = $11,283.16

The PLUS loan has an annual interest rate of 4.15% and a balance of $11,421.51 at the time of repayment.

The balance of the PLUS loan at the time of repayment can be calculated using the same formula:

Balance = $11,421.51 * (1 + 0.0415 / 12)^(6) = $11,421.51 * (1.003479)^(6) = $11,973.54

Therefore, the PLUS loan will have a higher balance at the time of repayment, by $11,973.54 - $11,283.16 = $690.38.

Step-by-step explanation:

Gemma has 3 rose bushes, each with the same number or roses. She picks 4 of the roses. There are 20 roses left on the rose bushes. How many roses were on each rose bush?

Answers

There were 8 roses on each bushes

How to calculate the number of roses on each bush?

Gemma has 3 rose bushes

Each bush has the same number of roses

She picks 4 of the roses

After picking the roses, there are 20 left in the bushes

Therefore the number of rose on each bush can be calculated as follows

20 + 4

= 24

24/3

= 8

Hence there are 8 roses in each bush

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Pls help Whats the equation?

Answers

Answer: y = -5x + 6

Step-by-step explanation:

First, we need to find the slope, which would be m in the equation. To find m, we can use the formula called "rise over run". Here's the formula: [tex]m=\frac{y2-y1}{x2-x1}[/tex]

So, to use this formula, you pick two points from the line that you're given and solve for m.

Let's use the points (1,1) and (0,6). x1 would be 1, x2 would be 0, y1 would be 1, y2 would be 6

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]m=\frac{6-1}{0-1}[/tex]

[tex]m=\frac{5}{-1}[/tex]

[tex]m=-5[/tex]    So, the slope is -5

Then, we need to find the y intercept, which would be b in the formula.

We can see that the point where the line meets the y axis is at (0.6), so the y intercept would be 6.

Now let's put everything together:

y = mx+b

y = -5x + 6

To calculate the cost of painting his silo, a farmer must find its height. The farmer uses a cardboard square to line up the top and bottom of the silo as shown in the diagram below. Approximate the height of the silo, rounded to the nearest foot.

Answers

Answer:

Height of the silo = 18 feet.

Step-by-step explanation:

From the figure attached BC is the length of the silo and the height of the farmer is 5 ft.

Farmer is standing at 8 ft distance from the silo.

From triangle AEC,

tan(∠CAE) = CE/AE=5/8

m(∠CAE) = tan-1 (5/8)

= 32°

m∠BAE = 90° - 32° = 58°

From the triangle ABE,

tan58° = BE/AE

BE = 8tan58°

BE = 12.8 ft

Total height of the silo = BE + EC

= 12.8 + 5

= 17.8

≈ 18 ft          

Therefore, the total height of the silo is 18 ft.

Need help ASAP! See images below

Answers

Answer and Step-by-step explanation:

The kite area formula:

A = [tex]\frac{pq}{2}[/tex]

P = Line RP

Q = Line QS

A = [tex]\frac{38 + 16}{2}[/tex] = [tex]\frac{54}{2}[/tex] = 27

27 is the answer.

#teamtrees #PAW (Plant And Water)

A recipe for 8 pancakes needs the following:
1 1/4 cups of milk
1 1/2 cups of flour
1 egg

Maria has these ingredients.

1 quart of milk
8 cups of flour
12 eggs

How many more cups of milk does Maria need to make 40 pancakes in total?

Answers

Answer:

2.25 cups

Step-by-step explanation:

There are 5 eights in 40.

1.25 × 5 = 6.25

1.5 × 5 = 7.5

1 × 5 = 5

1 quart = 4 cups

6.25 cups - 4 cups = 2.25 cups

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