The equation 7(v-5)=-21 is solved in several steps below. For each step, choose the reason that best justifies it.

Answers

Answer 1

The solution to the equation is, v = 2.

See the steps explained below.

How to Solve an Equation?

Given an equation, 7(v - 5) = -21, the following steps would be taken as shown below:

7(v - 5) = -21 ---> Given

7v - 35 = -21 ----> distribution property

7v - 35 + 35 = -21 + 35 -----> addition property of equality

7v = 14

Divide both sides by 7

7v/7 = 14/7 -----> division property of equality

v = 2

Thus, the solution to the equation as solved above is: v = 2.

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Related Questions

17+|-12--5|--16
show how you got the answer

Answers

17+|-7|--16
17+7+16
40
First you do pemdas so -12–5 is -7 and then you will get 17+-7-16 then you add and that will give you 10 so know you have 10-16= -10

What is a function and how can I identify one ?

Answers

Answer:

a function is a rule or correspondence by which each element x is associated with a unique element y.

hope this was helpful!

17. The difference of a number and 12 is three. Find the number.

Answers

15-12=3 I think the answer is 15 so the difference of a number and 12 is 15

After finding the fish you would like to take home to cook, you discover it cost $2 to wrap the fish and $4.50 per pound. Another vendor is selling another fish for a flat rate of $5 per pound. Set up an equation to determine how many pounds of fish would result in the same cost. Then, solve the equation.

Answers

Answer is x = 4# fish

Equation: 2 + 4.50x = 5x

Step by step

We know one vendor charges $2 + $4.50/#
We know one vendor charges $5/#

X = unknown # pound

Our equation will be separated by = sign because we are looking for when the price will equal

2 + 4.50x = 5x

Subtract 4.50x from both sides to isolate the variable

2 = .50x

Divide both sides by .50 to solve for x

X = 4 # fish

Substitute your x value (4) for x in your equation

4.50x4 + 2 = 5x4

20 = 20

They equal, problem solved!

To estimate the percent of red marbles in a large bag of marbles, margo will use the following sampling method. She will randomly select a marble, record its color, put it back into the bag, shake the bag to thoroughly mix the marbles, and then repeat those steps. She will perform the procedure many times. What type of sampling method is margo using?.

Answers

It is found that Margo are going to be using sampling.

sampling in statistics may be a a part of the sampling technique within which each sample has an equal probability of being chosen. In other words, a sample chosen randomly is an unbiased representation of the entire population.

Sample strategies is also classified as :

1) Convenient: The sample that is taken from a pool that is readily accessible.

2) Random : When all options are into a hat and draw a number of team

3) Systematic : Every kth element

4) Cluster : once we divide population into groups called clusters, and every element of cluster is surveyed.

5) Stratified : In stratified also divides the population into groups, However just some of the weather of the group are surveyed. per the question Marbles are taken from the bag, and after they're taken they're again placed back within the bag so it depicts sampling.

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What is 9+7+5+6+3+4+1+4+4+4 / 6

Answers

Answer:

7.83 is the answer of ur question

A rectangle restaurant kitchen has a perimeter of 38 m in an area of 88 m² what are the dimensions of the kitchen

Answers

The dimensions of the kitchen are 11m × 8m.

In geometrical mathematics, a polygon with four sides is referred to as a quadrilateral, while a quadrilateral with two opposed, parallel, and equal sides is referred to as a rectangle.

A rectangle has four equal-sized angles. There are four angles in a rectangle.

A rectangle has 90° angles on all sides.

The rectangle's diagonal is the separation or length of a line segment that connects any two opposed vertices.

Let l and w represent the length and breadth of the rectangular kitchen, respectively.

we know that area of a rectangle = length × width

perimeter of a rectangle = 2(l ₊ b)

Given that the rectangular kitchen has an area of 88 m².

A = 88 m²

l × w = 88 m² ....eq(1)

The perimeter of the rectangle is 38 m.

Perimeter (P) = 38 m

2(l+w) = 38 m

l+w = 19 m

l = 19 - w .....eq(2)

substitute eq(2) in eq(1).

l × w = 88 m²

(19 - w)w = 88

19w - w² = 88

-w²+19w-88 = 0

w²-19w+88 = 0

By factorization method, we get:

w²-11w-8w+88 = 0

w(w-11)-8(w-11) = 0

(w-11)(w-8)

w = 11 or w = 8

If w = 11,

then l = 19-11 = 8m

and If w = 8m

then, l =  19-8 = 11m

so the dimensions are 11m×8m

Hence we get the dimensions of the kitchen are: 11m×8m

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What is the natural number of the square root of 8

Answers

square is 64
Square root is 2.828

A six-sided dice is rolled twice. The sides are labeled 1-6. What
is the probability of rolling an odd number and then rolling a 2?
(Give your answer as a reduced fraction).

A 3/36
B 1/18
C 1/12
D 1/36

Answers

The probability of rolling an odd number and then rolling a 2 is 1/12.

Option C is true.

What is Probability?

Probability is measure of the likelihood of an event to occur.

Given that;

A six - sided dice is rolled twice.

The sides are labelled 1-6.

Now,

In a dice odd number are 1, 3, 5

Hence, The probability of rolling an odd number = 3/6

And, The probability of rolling a 2 = 1/6

So, The probability of rolling an odd number and then rolling a 2

= 3/6 x 1/6

= 1/12

Hence, The probability of rolling an odd number and then rolling a 2 is 1/12.

Option C is true.

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Which algebraic expression is equivalent to the expression below?

(4x + 12) + 9x
A.
(4x - 9x) + 12
B.
(4x + 12x) + 9
C.
(4x + 9x) + 12
D.
25x

Answers

The algebraic expression that is equivalent to (4x + 12) + 9x is:  C. (4x + 9x) + 12.

How to Determine Equivalent Expression?

Algebraic expressions are equivalent to each other if they have he same value when simplified or evaluated.

Given the expression, (4x + 12) + 9x, we have:

4x + 12 + 9x

Add like terms

13x + 12

Also, simplifying (4x + 9x) + 12, we give us the following:

4x + 9x + 12

13x + 12

Therefore, the algebraic expression that is equivalent to (4x + 12) + 9x is:  C. (4x + 9x) + 12.

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I WILL GIVE 35 POINTS TO THOSE WHO ANSWER THIS PROBLEM RIGHT NOOOO SCAMS

Answers

Using translation concepts, we have that:

4. The type is f(x + k), with k = 3, and a horizontal shift.

5. The type is kf(x), with k = 5 and a vertical stretch.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For graph 4, we have function g(x) is a shift left of 3 units of function f(x), hence:

The type is f(x + k), with k = 3, and a horizontal shift.

For graph 5, we have that for each value of x, g(x) = 5f(x), hence:

The type is kf(x), with k = 5 and a vertical stretch.

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Rachel received a 90$ gift card for a coffee store

Answers

That's great for Rachel! I would love a gift card as well where is this at?

8000(1+i)^8 solve for i

Answers

Answer:

128,000

Step-by-step explanation:

➟ 8000(1+i)8

➟ (8000 + 8000i)8

➟ 64000 + 64000 = I

➟ I = 128000

One freezer costs $623.95 and uses 90 kilowatt hours (kwh) of electricity each month. A second freezer costs $500 and uses 100 kwh of electricity each month. The expected life of each freezer is 12 years. What is the minimum electric rate in cents per kwh for which the 12-year total cost (purchase price + electricity costs) will be less for the first freezer?

Answers

The minimum electric rate in cents per kwh for which the 12-year total cost will be less for the first freezer is 8.61 cents

How to calculate the rate?

Let x =  minimum electric rate (Cents/kWh)

Total months in 12 years is 12*12 = 144 m

1st freezer

Total cost over 12 years is

623.95 (cost) + (90 kWh/m)*(144 m)(x/100 $/kWh)

= 623.95 + 129.6x

2nd freezer

Total cost over 12 years is

500 + 100*144*(x/100)

= 500 + 144x

For the 1st freezer to cost less over 12 years,

623.95 + 129.6x < 500 + 144x

123.95 < 14.4x

8.61 < x

The minimum rate is 8.61 cents per kWh

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A bag of marbles contains 3 red marbles, 5 blue marbles, and 2 yellow marbles. (Write your answer as a fraction, decimal, and a percent.) What is P(red)? What is P(blue)? What is P(yellow)? What is the most likely outcome when drawing a marble out of the bag? Explain. What is the least likely outcome when drawing a marble out of the bag? Explain.

Answers

Answer: 30% blue, 50%red, and 20%yellow

Step-by-step explanation:

Which expression is equivalent to √125x6^y15^z3^?

Answers

The second answer of the question is correct

Answer:

[tex]5x^2y^5z[/tex]

Step-by-step explanation:

Hello!

Expand the cube root:

[tex]\sqrt[3]{125x^6y^{15}z^3}[/tex][tex]\sqrt[3]{125}* \sqrt[3]{x^6} * \sqrt[3]{y^{15}}*\sqrt[3]{z^3}[/tex]

Use exponent rule:

[tex]\sqrt[a]{b^c} = b^{\frac ca}[/tex]

Simplify[tex]\sqrt[3]{125}* \sqrt[3]{x^6} * \sqrt[3]{y^{15}}*\sqrt[3]{z^3}[/tex][tex]5^{\frac33}*x^{\frac63}*y^{\frac{15}{3}}*z^{\frac33}[/tex][tex]5 * x^2 * y^5 * z[/tex][tex]5x^2y^5z[/tex]

The answer is [tex]5x^2y^5z[/tex].

Bacterial Growth Exponential Function

Answers

Bacterial growth is expressed by an exponential function with the formula of [bacteria]=ae^[time]b

what is the distributive property of 57 x 9

Answers

Answer:

I believe the answer is (50 x 9) + (7 × 9)

You have to expand 57 which is 50 + 7 and multiply each by 9. Hope it helps!!

The length of a rectangular sign is 3 feet longer than the
width. If the sign's area is 54 square feet, find its length and
width.


(Anyone else taking Algebra 2?)

Answers

Answer:

length is 9 and width is 6

Step-by-step explanation:

List the factors of 54 and choose the numbers that only have a difference of 3. In this case it is 6 and 9, then put them in the order they go based on the instructions.

Linear distribute properties 6(y+3)=30

Answers

Answer:

y=2

Step-by-step explanation:

6 times y and six times 3

6y+18=30

    -18  -18

6y=12

divide both sides by 6 and you will get y=2

the density of a certain material is such that it weighs 3 grams per fluid ounce of volume. express this density in ounces per liter. round your answer to the nearest hundredth.

Answers

The density in ounces per liter is 3.57826 rounding off = 3.58

Density of a substance can be defined as a relationship between the mass and the volume of that substance.

[tex]Density=\frac{Mass}{Volume}[/tex]

For Example if a metal have a mass 0f 7gm and volume as [tex]5cm^{3}[/tex]

[tex]Density=\frac{7}{5} = 1.4g/cm^{3}[/tex]

we know that 1 gram/fluid ounce of volume = 1.19275 ounces/liter

1 gm/fluid ounce =1.19275 ounces/liter

3 gm/fluid ounce = 3*1.19275 ounces/liter

So 3 gm/fluid ounce = 3.57826 ounces/liter

On rounding it to nearest hundredth we get 3.58 ounces/liter

Therefore the density of the material which weighs 3 gm/fluid ounce in ounces/liter is 3.58.

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Find q in this equation

Answers

Hi!
Check out the attached photo!

Simplify as far as possible.
2√3+3√3

Answers

Answer: 0.51639777..

Step-by-step explanation:

A
C
3.
Find m2LMN if mLME=24°
and mLEMN = 42°
66⁰
18⁰
M
B
D
24⁰
42⁰

Answers

Answer:

this question is impossible!11!1!!!!

Step-by-step explanation:

none

need help asap WILL GIVE YOU BRAINLIEST

Thanks!!!

Answers

Answer:

14 is an obtuse angle

Step-by-step explanation:

An obtuse angle is an angle that is bigger than 90° degrees but doesn’t reach a straight line at 180°.

find the angle measure then classify the angle (I'm very bad at this one and I need help instantly ​

Answers

Answer:

30,70,110

Step-by-step explanation:

12. acute

13. acute

14. obtuse

Exercise
Respond to the following based on your reading.

1. Which numbers are to the right of 0 on the number line?
2. Which numbers are to the left of 0 on the number line?
3. Is 0 an integer?
4. Draw a number line with integers from –3 to 6.
5. Solve the problems:
a. −8 + 0 =
b. 1 × (−14) =
c. 19 ÷ 1 =
d. 0 × 104 =
e. −21 − 0 =

Answers

Answer:

please solve this question 4²×3³×(-1)¹²²

Someone help me plsss

Answers

Answer:

e)

f) cents

g) Cents 102.9 convert to Dollars 1.029

h) Cents 98.9 convert to Dollars 0.989

i) $56.60

j) $54.40

Step-by-step explanation:

e) is correct. The discount is 4¢ per litre
f) It should be cents, not dollars

g) Without a voucher, the cost of fuel is 102.9¢ = $102.9/100= $1.029

h) Since the discount is 4¢ per litre, the price of fuel comes down froom 102.9 - 4 = 98.9¢ = 98.9/100 $ = $0.989

i) 55L at undiscounted price = 55 x $1.029 = $56.595 rounded up to $56.60

j) With a voucher, there is a discounted price of $0.989 per litre. So for 55L, discounted price with voucher = 55 x 0.989 = $54.395 = $54.40 rounded to the nearest cent

find the three postive consecutive integers such that the product of the smallest and the largest is 17 more than 3 times the median intger

Answers

Answer:

find the three postive consecutive integers such that the product of the smallest and the largest is 17 more than 3 times the median intger

Answer: 5, 6, 7

Step-by-step explanation:

Let three positive consecutive integers equal to x, x+1, x+2

Hence,

[tex]\displaystyle\\x(x+2)-3(x+1)=17\\x^2+2x-3x-3=17\\x^2-x-3-17=17-17\\x^2-x-20=0\\x^2-5x+4x-20=0\\x(x-5)+4(x-5)=0\\(x-5)(x+4)=0\\x-5=0\\x-5+5=0+5\\x=5\in\ (x > 0)\\x+4=0\\x+4-4=0-4\\x=-4\notin\ (x > 0)\\5+1=6\\5+2=7[/tex]

PLEASE HELP ME ANSWER 34,36

Answers

Y is equal to 30 other is too blurry learn to take a better photo… thanks
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