Use an addition property to solve for b. –12 + 16 = 16 + b –28

–12

4

12

Answers

Answer 1

the answer to your equation is b= -12 you’re welcome

Answer 2

-12+16=16+b-28 now 16 and 16 cancels out from both sides
-12=b-28
add 28 on both sides
+28-12=b+28-28
b=16

Related Questions

Jillene wrapped 4 gifts for her 4 cousins. If she gives them out randomly, what is the probability that every cousin gets the right present?

Answers

The possibility is 1/4 (1 out of 4)

Jillene wrapped 4 gifts for her 4 cousins. If she gives them out randomly, then there are 4! ways in which her cousins can receive the gifts.

Now, we know that 4!=4 x 3 x 2 x 1=24

Thus, if Jillene gives out her 4 wrapped gifts randomly to her 4 cousins, then there are 24 ways in which her cousins can receive Jillene's gifts. But there is only one way in which every cousin gets the right present.

Thus, the probability, P, that every cousin gets the right present is:

[tex] P=\frac{1}{24} [/tex]

Expressed as a percentage the probability, P is approximately, 4.17%

Suppose you borrow $1,200 at an add-on interest rate of 5% for 4 years. What will be the amount of your monthly payment ?

Answers

1200* (5% * 4) = 240
240 + 1200 = 1440
1440/12 = $120

The answer is $120 per month.

The amount can be calculated using the formula

[tex] A=P( 1+\frac{r}{100})^t [/tex]

Here P is the Principal ,r is the rate of interest and t is the formula .

In the given question P=$1200 ,r=5% ,t= 4 years.

Substituting these values in the formula

[tex] A=1200( 1+\frac{5}{100} )^4 [/tex]

[tex] A=1200(1.05)^{4} [/tex]

A=1458.60

Amount of monthly payment=[tex] \frac{1458.60}{12} =121.55 [/tex]

The amount of your monthly payment is $121.55.

Could 10.5 cm, 8.0 cm, and 4.0 cm be the side lengths of a triangle?

Answers

Answer: Yes, there can be a triangle with the side lengths 10.5 cm, 8.0 cm, and 4.0 cm.

Step-by-step explanation:

We know that triangle inequality says that the sum of any two side of a triangle must be greater to the third side of the triangle.

To check 10.5 cm, 8.0 cm, and 4.0 cm be the side lengths of a triangle, we should check the triangle inequality as.

[tex]10.5+8=18.5>4\\10.5+4=14.5>8\\4+8=12>10.5[/tex]

Thus, the given side lengths satisfy the triangle inequality.

Hence, there can be a triangle with the side lengths 10.5 cm, 8.0 cm, and 4.0 cm.

A fish tank has 16 gallons, the length is 7 feet and the width is 2 feet.Find the hypotenuse length using the Pythagorean theorem .please help fast

Answers

The Pythagorean Theorem states that a² + b² = c², c being the hypotenuse.

Substitute known values into the equation.

7² + 2² = c²
49 + 4 = c²
c² = 53
c = √53
c = 7.28010989

Answer: The hypotenuse's length is 7.3 feet.

MATH HELP PLEASE! WILL GIVE BRAINLIEST!
In circle A, mBEC is 290º.

What is the measure of ∠BAC ?

70º

130º

170º

360º

Answers

The answer is (A 70 ) (you must subtract the given degree and get 70) hope it helps and have a great day!

Explain a scenario where you would use a frequency table to display data in the real world.

Answers

Many people have no occsasion to collect data in the real world. One basically has to dream up scenarios in which data collection might be desired, then sort through those to see if a frequency table would be of any value.

Some manufacturing processes produce parts that have a wide range of characteristics. Sometimes the range is much larger than is desired for a particular purpose, so the parts are "binned". That is, if they have characteristics in a specific narrow range, they are put into a bin with other similar parts.

Some customers want only parts with a particular specific characteristic (color or brightness, for example). If a request for quote comes that asks for a large number of these parts, it would be helpful to have on hand previously collected data about the percentage of production that falls into the specific bins desired. That is, a frequency table showing the number in each bin produced by a given operator, machine setting, environmental condition, material supplier, or other variable would be very helpful information when responding to the customer.
_____
Perhaps less complicated: a frequency table showing the zip codes of folks who show up for your art class might give you helpful information about where to target your advertising.

BRAINLIEST TO PERSON WHO DOES ALL STEPS, KEEP IT SIMPLE AND EASY TO UNDERSTAND

The length of a rectangular floor is 4 ft. longer than its width w. The area of the floor is 525 ft^2.
a) Draw a picture of the situation.

b) Write a quadratic equation for the area in terms of w that represents the situation.

c) What are the dimensions of the floor? Explain how you found them.

Answers

Answer: The dimensions of the floor are 21 by 25.

For your drawing, you will have a rectangle with an x for the width and an x + 5 for the length.

If we multiply those together, we get the following equation for the area.
x(x + 5) = A
x^2 + 5x = A

Now, input 525 and solve for x.
x^2 + 5x = 525
x^2 + 5x - 525 = 0
x = 21 or x = -25

Only 21 makes sense for the width. Adding on 4 gives us 25 for the length.

Assume that the width of the floor is w.
The length is 4 ft longer than the width.
This means that:
Length = 4 + w

Part (a):
The drawing of the situation is shown in the attached image

Part (b):
Area of the rectangle is calculated as follows:
area = length * width
area = (w + 4) * w
area = w² + 4w
We are given that the area is 525 ft²
This means that:
525 = w² + 4w

Part (c):
To get the dimensions of the floor, we will need to solve the quadratic equation from part b.
area = w² + 4w
525 = w² + 4w
w² + 4w - 525 = 0
(w-21)(w+25) = 0
either w-21 = 0 ............> w = 21 ft .........> accepted solution
or w+25 = 0 ............> w = -25 ...........> rejected solution as the length cannot be negative
Now, we know that:
length = w + 4
length = 21 + 4
length = 25 ft
This means that:
length of floor = 25 ft
width of floor = 21 ft

Hope this helps :)

what is the approximate volume of a cylinder with a radius of 4 cm and a height of 5 cm drag and drop the answer into the box

Answers

The formula for volume of a cylinder is V= πr2h. The two means to square it, not multiply by two. So you would have 3.14 x 16 x 5. The sixteen in the equation comes from squaring 4. The answer is 251.2.

Help please! Thanks:)))

Answers

it would be between the 3 m and the 4 m

hope this helps :)

Billy made 1/2 gallons of juice for a picnic. He said that he made 3/4 quart of juice. EXPLAIN BILLY’S MISTAKE.

Answers

4 quarts are in 1 gallon, half of that is 2 quarts in 1/2 gallon.

Given the inequalities y < 2x+7 and y > 3x-2 graphed on the same coordinate grid, which of the following coordinates gives a true statement?

A. (6,-2)
B. (-6,-2)
C. (-4,-2)
D. None of the above

Answers

Only option C (-4, -2) satisfies both inequalities, making it the correct choice.

To find which coordinate gives a true statement for the system of inequalities y < 2x + 7 and y > 3x - 2, we can test each option.

For option A (6,-2), the first inequality becomes -2 < 2(6) + 7, which simplifies to -2 < 19, which is true. The second inequality becomes -2 > 3(6) - 2, which simplifies to -2 > 16, which is false.

For option B (-6,-2), the first inequality becomes -2 < 2(-6) + 7, which simplifies to -2 < -5, which is false. So, we need not test the second inequality.

For option C (-4,-2), the first inequality becomes -2 < 2(-4) + 7, which simplifies to -2 < -1, which is true. The second inequality becomes -2 > 3(-4) - 2, which simplifies to -2 > -14, which is true.

Therefore, the coordinate that makes both inequalities true is option C (-4,-2).

The only coordinate that satisfies both inequalities y < 2x+7 and y > 3x-2 is point C (-4, -2). The other provided options either do not satisfy one or both inequalities.

The question asks which coordinate point satisfies both inequalities, y < 2x+7 and y > 3x-2, when graphed on a coordinate grid. Let’s evaluate each option:

For point A (6, -2), substitute x with 6 in the inequalities, results; -2 < 2(6)+7 and -2 > 3(6)-2, which simplifies to -2 < 19 and -2 > 16. The first inequality is true, but the second is false, so point A doesn't satisfy both inequalities.For point B (-6, -2), substitute x with -6 in the inequalities, results; -2 < 2(-6)+7 and -2 > 3(-6)-2, which simplifies to -2 < -5 and -2 > -20. Both inequalities are false, so point B does not satisfy both inequalities.For point C (-4, -2), substitute x with -4 in the inequalities, results; -2 < 2(-4)+7 and -2 > 3(-4)-2, which simplifies to -2 < -1 and -2 > -14. Both inequalities are true, so point C satisfies both inequalities.

Therefore, the coordinate that gives a true statement for both inequalities is point C (-4, -2), making the correct answer C.

5-12 URGENT ONLY ANSWER IF YOU REALLY KNOW HOW TO SO THIS OR ELSE

Answers

5. We add all the freshman, 92 + 86 = 178.
6. We add all the sophomores surveyed, 116 + 52 = 168,
7. We add the numbers under the "yes" category, 92 + 116, which is 208.
8. We add the numbers under the "no" category, 86 + 52, which is 138.
11. A marginal frequency is the total of freshman, 222, and the total sophomores are 192. The marginal frequency of freshman are greater than that of the sophomores.
(there is no #9, #10, or a table for #12)

What is the volume of a rectangular prism with a 4 inch base and a height of 4?

Answers

V=lwh
V= (4)(4)(4)
V= 64 in cubed
[tex]v = lwh[/tex]

olive garden is only 10 yd and the watermelon plants she wants to grow require 2.5 yd each.how many watermelon plants can she grow

Answers

She can grow 4 plants because 10/2.5 is equal to 4.
So, the answer is 4 plants.

Hope this helped☺

She can grow 4 watermelons.

What is unitary Method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Steps to Use Unitary Method

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

Olive garden = 10 yard

Watermelon plants = 2.5 yard

Number of watermelon she can grow

=10/2.25

Hence, She can grow 4 watermelons.

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Madame Pickney has a rather extensive art collection and the overall value of her collection has been increasing each year. Three years ago, her collection was worth $400,000. Two years ago, the value of the collection was $440,000 and last year, the collection was valued at $484,000. Assume that the rate at which Madame Pickney’s art collection’s value increase remains the same as it has been for the last three years. The value of the art collection can be represented by a geometric sequence. The value of the collection three years ago is considered the first term in the sequence. What explicit rule can be used to determine the value of her art collection n years after that?

Answers

The rule you would use to represent the situation would be 400,000 + 40,000x. X would represent the number of years that have passed since the amount has been increasing at the same rate. You could use this expression to find her value of the art collection if you know how many years have passed since the constant rate began.

Answer:

Step-by-step explanation:

an=400,000(1.1)^n−1

My sister is buying new carpet for her bedroom floor. The length of the bedroom is 13 feet. The area of the bedroom is 175.5 square feet. How wide is my sister's bedroom?

A. 13.5 ft

B. 13.5 ft 2

C. 162.5 ft 2

D. 198.5 ft 2

Answers

Since the formula for the area of a rectangle is length × width = height, we can divide the area by the length to get the width.

175.5 ÷ 13 = 13.5

And since the width is one dimensional, the answer is A.

Hope this helps!

Area = length x width
Given: length = 13 , area = 175.5

175.5 = 13 x width
width = 175.5 ÷ 13
width = 13.5 feet

The width is 13.5 ft (Answer A)

Which answer choice is equivalent to
−65
−12
?

Answers

What are the answer choices?

A store marks up a jacket by 121%. the store's cost for the jacket is %87.62. Find the selling point of the jacket.

Answers

Selling point???

You mean selling price.

Let x = selling price

100 + 121 = 221

Here is your equation:

221/100 = x/87.62

100x = (221)(87.62)

Can you finish?

Solve for x.

10 feet wide by 30 feet long by 1/3 foot deep.what is the volume?

Answers

----------------------------------------------
Formula
----------------------------------------------
Volume = Length x Width x Height

----------------------------------------------
Apply Formula
----------------------------------------------
Volume = 10 x 30 x 1/3 = 100 ft³

----------------------------------------------
Answer: 100 ft³
----------------------------------------------

Hey there!

To find volume, multiply the length, width, and height.

For this problem, multiply 10 x 30 x 1/3 . . .

10 = 10/1

30 = 30/1

10 x 30 = 300

1 x 1 = 1

= 300/1

Simplifying 300/1 . . .

300/1 = 300

300 = 300/1

1/3 = 1/3

300 x 1 = 300

1 x 3 = 3

= 300/3

Simplifying 300/3 . . .

300/3 = 100 <-------

The volume is 100 ft.

Hope this helps you.
Have a great day!

I have trouble converting

Answers

1. 9 ft. = 3 yd.
2. 288 in. = 8 yd.
3. 5 ft. = 60 inches.
4. 103 in.
5. 219 in. = 18 ft. 3 in. or 18 ft.

Hope this helps!

1. 9 ft. = 3 yd.
2. 288 in. = 8 yd.
3. 5 ft. = 60 inches.
4. 103 in.
5. 219 in. = 18 ft. 3 in. or 18 ft.

Order these numbers from least to greatest

Answers

Least is closest to 0. If you convert the fractions to decimals, it may be easier to determine least to greatest.

Least= 3.311
3.32
27/8= 3.375
Greatest= 3 4/9= 3.444444

Hope this helps! :)

Plzzzzzzzzzzzzzzzzzzz

Answers

1. The three dots at the end of the number is called an ellipsis.
2. Since it doesn't terminate or repeat, the number is an irrational number.
3. When it can be written as a ratio, it is a rational number.
4. The decimal digits infinitely repeating is called a repeating decimal.
5. Ending decimal is another word for terminating decimal.
6. The fraction bar in which has numerator above and denominator below is a vinculum. Hope this helps!

The equation 5x-10y=30is written in standard form. What is the first step when solving for x? Add 5x to both sides of the equation. Subtract 5x from both sides of the equation. Add 10y to both sides of the equation. Subtract 10y from both sides of the equation.

Answers

you would have to add 10y to both sides, and then divide by 5

The first step is Add 10y to both sides of the equation.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Parts of an Equation

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.

An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables.

Given:

5x- 10y =30

Now, to solve for x we must contain 'x' till the last step

so, we have to remove variable y

Then, Add 10y to both sides of the equation is the first step.

5x - 10y + 10y = 30 + 10y

5x = 30 +10y

Hence, Add 10y to both sides of the equation.

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12 is 36 less than 4 times a number. What is the number?

Answers

The answer is twelve (12).
Let us use this equation: 4x-36= 12
x stands for the missing number.
To solve for x, we will transfer the -36 to the side of 12, and it will look like this: 4x= 12+36 (NOTE: Once we transfer a number on the other side, their signs will change too. For example, the -36 became positive 36 when it was transferred to the side of the 12)
Then, 4x= 48, divide both sides by 4 so that the x will remain. 48/4= 12.
Therefore, x=12

Let

x---------> the number

we know that

[tex]12=4x-36[/tex] ---------> equation [tex]1[/tex]

Solve for x

[tex]12=4x-36[/tex]

Adds [tex]36[/tex] boths sides

[tex]12+36=4x-36+36[/tex]

[tex]48=4x[/tex]

Divide by [tex]4[/tex] boths sides

[tex]x=12[/tex]

therefore

the answer is

the number is [tex]12[/tex]

Help Please Homework Due tomorrow:

4. 3 + [5 - 2 ( 8 + 4)] + 6

Answers

The answer to the problem is -8.7

What are the next three terms of the geometric sequence 3, 12, 48, . . . ?

Answers

3 * 4 = 12
12 * 4 = 48
48 * 4 = 192
192 * 4 = 768
768 * 4 = 3,072

The next three terms are 192, 768, and 3,072

Hope this helps =)

The next 3 terms of the geometric sequence 3, 12, 48, are 192, 768 and 3072.

Using geometric sequence formula:

aₙ = arⁿ⁻¹

where

a = first term

r = common ratio

n = number of term

Therefore,

let's find the 4th term .

n = 4

a = 3

r = 12 /3 = 4

a₄ = 3 × 4⁴⁻¹

a₄ = 3 × 4³

a₄ = 3 × 64 = 192

Using the same pattern the next 2 terms are as follows

192 × 4 = 768 768 × 4 = 3072

Therefore, the next three terms of the sequence 3, 12, 48, ... are 192, 768 and 3072.

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Combine any like terms in the expression. If there are no like terms, rewrite the expression. 2 + 5q^3 – 5q^3

Answers

[tex]2 + 5q^3 - 5q^3[/tex]
= [tex]2[/tex]

plz answer the picture above

Answers

When a coordinate is reflected across the y axis, the x changes to the opposite and y stays the same.

X(0, -6) X' (0,-6)

Y(-10, 4) Y'(10, 4)

Z(3, -1) Z' (-3,-1)

Hopes this helped!!!!

Which equation shows the relationship between x & y?

Question 21 options:

Y = x + 6

y = 3x

y = 2x + 3

y = 4x – 3

Answers

y=3x is correct. Hope this helped :)

Y=3x is the correct answer for sure

What is the best approximation for the area of a circle with a diameter of 13 meters?

Use 3.14 to approximate pi.

A) 40.8 m²
B) 81.6 m²
C) 132.7 m²
D) 530.7 m²

Answers

Answer is C

Hope it helps

The area of the given circle with 13 meters of diameter is 132.7 m².

What are the circumference and diameter of a circle?

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

Given, Diameter is 13 meters hence radius is (13/2) meters.

We know the area of a circle is πr².

∴ The area of the given circle is π(13/2)² = 132.7 m².

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Use an addition property to solve for b. –12 + 16 = 16 + b –28 –12 4 12

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Use an addition property to solve for b. –12 + 16 = 16 + b –28

–12

4

12