25. Find three consecutive integers such that twice the smaller is 12 more than the largest.

Answers

Answer 1

The smallest would be 14 and then 15 and then 16.

Use the equation 2n=12+n+2. solve for n. Since it's consecutive, the equation would be n+n+1+n+2


Related Questions

A recording artist receives a royalty payment of 7% for each CD sold, and has an agent who gets 4% of what the recording artist gets. What is the artist’s earnings for the CD if the sales total is $2,500,000 ?

Answers

Answer:

The artist's earnings for the CD will be $168000.

Step-by-step explanation:

The total sales amount is $2500000

The artist receives a royalty payment of 7%. So, the amount of royalty, the artist receives will be:  [tex](\$2500000\times 7\%)= (\$2500000\times 0.07)=\$175000[/tex]

The agent gets 4% of what the recording artist gets. So, the amount of money the agent gets will be:  [tex](\$175000\times 4\%)=(\$175000\times 0.04)=\$7000[/tex]

So, the artist’s earnings for the CD will be:  [tex](\$175000-\$7000)= \$168000[/tex]


Use properties to find the sum or product 21+25+39+5

Answers

the sum of this equation is 90

the sum or product of  21+25+39+5 is 90

Each day last week, Mills walked 3/4 of a mile. What is the total distance, in miles that Ms.Mills walked in 4 days?

Answers

3/4 * 4 = 3 miles in 4 days. you can look at it as a decimal/money to to help 3/4 is .75 and .75+.75+.75+.75=3.00 hope it helps and explains how to get the answer.

Rewrite one of the two equations above in the form ax+by=c,where a,b,c are constants,so that the sum of the new equations and the unchanged equations from the original system results in an equation in one variable

Answers

Final answer:

To rewrite one equation like x = 4 - y into ax + by = c form, we adjusted it to x + y = 4. Then, we combined it with the unchanged equation y = 2x + 3 by substituting 'y' in the first equation with 'y' from the second, leading to 3x + 3 = 4, a one-variable equation.

Explanation:

To rewrite one of the two equations into the form ax + by = c, it's essential to start by having an equation that resembles y = a + bx (which is the same as y = mx + b, the conventional form for a linear equation) and the other in any format initially. Let's assume these equations as the existing ones: y = 2x + 3 and x = 4 - y.

Step 1: Transform the equation x = 4 - y into the form ax + by = c.

Firstly, shift y to the left side of equation by adding 'y' to both sides:

x + y = 4,

That's it! We now have the equation in the required ax + by = c format, where a = 1, b = 1 and c = 4.

Step 2: Add this new equation to the unchanged equation.

x + y = 4 (New one after rearranging)

y = 2x + 3 (Unchanged equation)

By substituting y from the second equation into the first, it will result in an equation in one variable:

x + (2x + 3) = 4,

After simplifying the equation, we get

3x + 3 = 4,

That is the result as an equation in one variable.

Learn more about Linear Equations here:

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For the last 4.5 hours, the temperature has decreased at a rate of 2.8 degrees per hour. Which best represents the overall change in temperature over this time period?

Answers

Answer:

The overall change in temperature over the time period ∆T = -12.6°F

Hope This Helps :DD

Step-by-step explanation:

There were 32 volunteers to donate blood. Unfortunately, n of the volunteers did not meet the health requirements, so they couldn't donate. The rest of the volunteers donated 470 milliliters each.
How many milliliters of blood did the volunteers donate?


WRITE ANSWER AS AN EXPRESSION

Answers

Answer:

The volunteers donated  [tex](15040-470n)[/tex] milliliters of blood.

Step-by-step explanation:

Total number of volunteers was 32 and the number of volunteers couldn't donate blood was [tex]n[/tex].

So, the number of remaining volunteers who donated blood will be: [tex](32-n)[/tex]

Each of these volunteers donated 470 milliliters blood.

So, the total amount of blood donated [tex]= 470(32-n) = (15040-470n)[/tex] milliliters.

Answer:

Answer: The answer to this problem would be (32-n)*470!

Step-by-step explanation:

Since there were 32 volunteers the beginning and some of them couldn't donate you would subtract (the variable you would use is 'n'). As you may know, each means that you multiply so if each volunteer is giving 470 mm of blood each you would multiply that by how many volunteers are remaining which is unknown.

Your final answer would be: (32-n)*470

Hope this helps and gets Brainiest Answer!!!

Step-by-step explanation:

A corn vendor at a farmers market was selling a bag of 8 ears of corn for $2.56.Another vendor was selling a bag of 12 for $4.32.Which bag is the better deal?

Answers

To decide which one is the better deal, you need to compare them on price per ear. So, the the first vendor is $2.56/8ears= $0.32/ear

the second vendor: $4.32/12 = $0.36/ear

The first vendor with the bag of 8 ears is the better deal!

Answer:

The better deal is first vendor bag.

Step-by-step explanation:

Given : A corn vendor at a farmers market was selling a bag of 8 ears of corn for $2.56. Another vendor was selling a bag of 12 for $4.32.

To find : Which bag is the better deal?

Solution :

To compare which is better we find the unit rate of both vendor rate.

The selling price of first vendor of 8 ears of corn for $2.56.

The selling price of 1 bag is [tex]\frac{2.56}{8}[/tex]

The selling price of 1 bag is $0.32.

The selling price of second vendor of 12 ears of corn for $4.32.

The selling price of 1 bag is [tex]\frac{4.32}{12}[/tex]

The selling price of 1 bag is $0.36.

The unit price of first vendor bag is lower than second vendor.

So, the better deal is first vendor bag.

Divide 3/4 by 1/3 and reduce to lowest terms

Answers

How to get answer: [tex]\frac{3}{4}[/tex]÷[tex]\frac{1}{3}[/tex]

Apply the fraction rule: [tex]\frac{3}{4} * \frac{3}{1}[/tex]

= [tex]3 * \frac{3}{4}[/tex]

= [tex]\frac{3}{4} * \frac{3}{1}[/tex]

= [tex]\frac{3 * 3}{4 * 1}[/tex]

= [tex]\frac{9}{4 * 1}[/tex]

Answer in fraction form: = [tex]\frac{9}{4}[/tex]

Answer in decimal form: = 2.25

Final answer:

To divide 3/4 by 1/3, multiply 3/4 by the reciprocal of 1/3, which is 3/1, giving you 9/4. This fraction is already in its lowest terms.

Explanation:

To divide fractions, such as dividing 3/4 by 1/3, you need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 1/3 is 3/1. So, you should alter the division problem to a multiplication problem.

Here is the step-by-step process:

Write down the problem in multiplication form: (3/4) * (3/1).

Multiply the numerators together: 3 * 3 = 9.

Multiply the denominators together: 4 * 1 = 4.

You get the result of the multiplication as 9/4.

To reduce to the lowest terms, we see that 9/4 is already in its simplest form as both 9 and 4 are prime to each other.

Thus, when you divide 3/4 by 1/3, the answer in lowest terms is 9/4.

3x+(2x+5)+(2x+10)+(2x-15)=360

Answers

Collect all x terms and all numbers. Ignore the brackets if they are confusing you since it makes no difference in this question if they exist or not since it's only addition and subtraction operations.

9x = 360

Divide both sides by 9.

x = 40.

[tex]\bf 3x+(2x+5)+(2x+10)+(2x-15)=360 \\\\\\\\3x+2x+2x+2x+10+5-15=360\implies 9x+0=360\\\\\\\\x=\cfrac{360}{9}\implies x=40\\[/tex]

How can I figure out the answer to 7+5=_+6

Answers

After figuring out the sum of 7+5, you can subtract the 6, leaving you with the number that will make the two equal.

7+5=x+6

12=x+6

-6     -6

6=x

7+5=6+6

5(2x-3)+20=35
^^solve and justify each step with correct property. I'll mark branliest!! Please help.

Answers

10x-15+20=35 *expand brackets
10x+5=35. *you do -15 +20
10x=30. *you minus 5 on both sides
X=3 *divide 10 on both sides

Distrubute 5 through the (....)

10x-15+30=35

Calculate the Sum

10x+5=35

Move constant to the right side and change the sign

10x=35-5

Subtract the number

10x=30

Divide both sides by 10

x=3


What is the value of X?

X=2.25
X=11.25
X=13
X=22

Answers

(2x + 10) + (6x + 1) = 180 - 79

Answer:  The correct option is (D) 22.

Step-by-step explanation:  We are given to find the value of x from the given figure.

From the figure, we see that a triangle is shown where the measure of an external angle is (6x + 1)° and the measures of the two remote interior angles are 79° and (2x + 10)°.

Since the sum of the measures of two remote interior angles of a triangle is equal to the measure of the external angle, so we get

[tex]79^circ+(2x+10)^\circ=(6x+1)^\circ\\\\\Rightarrow 79+2x+10=6x+1\\\\\Rightarrow 6x-2x=88\\\\\Rightarrow 4x=88\\\\\Rightarrow x=\dfrac{88}{4}\\\\\Rightarrow x=22.[/tex]

Thus, the required value of x is 22.

Option (D) is CORRECT.

How much more Ted saved

Answers

He saves $20 i did this and i got the right answer. hope this helps mark me as brainliest




Rewrite in simplest radical form 1x−36. Show each step of your process.

Help please!!!!

Answers

Hi,


Explanation:

[tex]1x - 36[/tex]

When the term has a coefficient of 1, it doesn't have to be written therefore the term is:

[tex]x - 36[/tex]

That's it!


Hope this helps.
If you posses any other questions about the answer leave a comment and I will reply.
r3t40

Answer:

x-36

Step-by-step explanation:

1x-36 has a coefficient of 1,so it can be shown as the term :

identify the range of the function shown in the graph

Answers

I think it is C

I hope this helps

Answer: The answer is (C). [tex]y\geq 0.[/tex]

Step-by-step explanation:  We are given a graph in the figure and we are to identify the range of the graphed function from the given options.

We can see in the figure that the values of x are greater than or equal to 0 and the corresponding values of y are also greater then or equal to 0. Since we are talking about the range of the function, so we will consider the y-values.

Thus, the range of the function will be [tex]y\geq 0.[/tex]

Thus, (C) is the correct option.

Could someone please help me on this? This is one question

Answers

The point-slope formula:

[tex]y-y_1=m(x-x_1)[/tex]

We have a slope m = 2 and point (-8, 2)

Substitute:

[tex]y-2=2(x-(-8))\\\\y-2=2(x+8)[/tex]


write or draw to explain two ways you can find the sum of 3+4+5

Answers

1+1+1+1+1+1+1+1+1+1+1+1 is one way and
3+9 or
7+5

3+4+5.

You could split it into different groups because of the communative property.

These are two combonations. :) (I'll put 3 so you can chose)

3 + 4 = 7 + 5 = 12.

3 + 7 = 10 + 4 = 14

7 + 4 = 11 + 3 = 14

simplify (x -3)(x + 7) using the table method, and identify the resulting

Answers

(x-3)(x+7) —> multiply them together I do it by FOIL which stands for Firsts Inners Outers Lasts

x’(squared)+7x-3x-21 —> simplify

x(squared)+4x-21

Answer:

The simplified form of given expression is [tex]x^2+4x-21[/tex].

Step-by-step explanation:

The given expression is

[tex](x-3)(x+7)[/tex]

Here, we have to factors (x-3) and (x+7).

Factor (x-3) has two terms x and -3. Write these terms in first row.

Factor (x+7) has two terms x and 7. Write these terms in first column.

Now, find the elements of the table by multiplying corresponding rows and columns.

The elements of the table are x², -3x, 7x, -21.

Now, add all these elements.

[tex]x^2-3x+7x-21=x^2+4x-21[/tex]

Therefore the simplified form of given expression is [tex]x^2+4x-21[/tex].

In a survey, 125 people were asked to chose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 1.

Answers

The experimental probability to choose card 1 (15/125) is 10 less than the theoretical probability which is 25/125.

Answer:

The theoretical probability of choosing a card with the number 1 is  (20​%). The experimental probability of choosing a card with the number 1 is (16​%). The theoretical probability is  (greater than ) the experimental probability.

At the end of one day, the value of a share of a certain stock was $12. Over the next three days, the change in the value of the share was -$1, then, -$1, and then $3.

a. Write an expression that describes the situation.

b. Evaluate the expression.

c. What does your answer to part b mean in context of the problem?

Answers

Given

end of one day, the value of a share of a certain stock was $12

next three days

the change in the value of the share was -$1, then, -$1, and then $3

ANSWER

proof of (a)

As given  in the question

end of one day, the value of a share of a certain stock = $12

next three days

change in the value of the share was -$1, then, -$1, and then $3

The expression that describes the situation be

= $12 - $1 -$1 + $3

proof of  (b)

The expression that describes the situation be

= $12 - $1 -$1 + $3

solving the above expression

we get

= $13

proof of c

The answer to part b mean in context of the problem is ,

The value of a share of a certain stock  was  $12 at one day end and after the next three days, the change in the value of the share was -$1, t, -$1, $3 than the value of share becomes $13.

Hence proved







8-x<5 solve the inequality and graph the solution

Answers

8 - x < 5      |-8

-x < -3       |change the signs

x > 3

what is a fraction equation that equals 1

Answers

Any fraction in which the numerator's value is the same as the denominator's value will equal 1. For example:

7/7, 6/6, 500/500, etc.

~Rise Above the Ordinary

Here are some examples 3/3, 4/4, 5/5, 1/1, 2/2, 6/6. It's any number over it self.

choose the algebraic expression that best matches this verbal description “the product of 4 and 5x”

Answers

20x

in mathematics ' product ' means multiply

4 × 5x = 20x


Please help me!!!! This is due in 20 minutes!!!! Whoever finds the right answer will be marked brainliest!!!!

Answers

Answer:

[tex]x=28cos(z)\\y=28sin(z)[/tex]

Step-by-step explanation:

We have been given a right triangle, which the following dimensions:

Hypotenuse = 28

Angle = z

Adjacent = x

Opposite = y

Upon using trigonometric ratio for cosine, we can write:

[tex]cos(z)=\frac{\text{Adjacent}}{\text{Hypotenuse}} =\frac{x}{28}\\ x=28cos(z)[/tex]

Similarly, upon using trigonometric ratio for sine, we get write:

[tex]sin(z)=\frac{\text{Opposite}}{\text{Hypotenuse}} =\frac{y}{28}\\ y=28sin(z)[/tex]

In a plane, if one line has an undefined slope and another line has a slope of zero, what can you conclude

Answers

Answer:

You can conclude that the lines are perpendicular, and will cross at exactly one point.

Step-by-step explanation: If one line has a zero slope, and the other's slope is undefined, that means one line is exactly vertical, and the other is exactly horizontal. This means that they will cross at exactly one point, and are perpendicular.


The slope of a line illustrates the direction of the line

The two lines are perpendicular lines

From the question, we understand that:

A line has an undefined slopeAnother line has a slope of 0

As a general rule,

The line with an undefined line is a vertical lineThe line with a slope of 0 is a horizontal line

A vertical line and a horizontal line will meet at a right-angle

Hence, the conclusion about the two lines is that, the two lines are perpendicular lines

See attachment for illustration

Read more about slopes at:

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Find the equation of the line that is parallel to y=-7x+2 and contains the point (-5,32).

Answers

its parallel so the x stays the same now all you ah e to do is find the a


y=7x+a

fill in the points.

32=7(-5)+a

32=-35+a

solve

32+35=a

67=a

y=7x+67

The equation of the line parallel to the line y = -7x + 2 will be -

y = - 7x - 3.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the equation of line as y = -7x + 2.

The general equation of a straight line is given by -

        y = mx + c

Here -   {m} is slope and {c} is y - intercept.

The equation of line parallel to the given line will be of the form -

y = - 7x + c                                               {parallel lines have same slope}

For the point (- 5, 32), we can write -

32 = - 7 x - 5 + c

c = 32 - 35

c = - 3                                                       {y - intercept}

The equation of the line will be -

y = - 7x - 3

Therefore, the equation of the line parallel to the line y = - 7x + 2 will be -

y = - 7x - 3.

To solve more questions on algebraic expressions, visit the link below -

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what is the mean of 33, 31, 36, 30, 35

Answers

27 issssssssssss the eeeeee mean


The mean is 33.

33 + 31 + 36 + 30 + 35 = 165

There are 5 numbers in the set, so divide 165 by 5.

165 ÷ 5 = 33

Someone please help me with #28 and #30 I got myself super confused.

Answers

Question 28:

[tex]S-2\pi r^2=2\pi rh[/tex]                     Subtract [tex]2\pi r^2[/tex] on both sides

[tex]\frac{S-2\pi r^2}{2\pi r} =h[/tex]         Divide [tex]2\pi r[/tex] on both sides

*(Answer)*=  [tex]\frac{S-2\pi r^2}{2\pi r} =h[/tex]


Question 30:

[tex]a*t=v_{1}+v_{0}[/tex]                  Multiply [tex]t[/tex] on both sides

[tex]a*t+v_{0} =v_{1}[/tex]                 Subtract [tex]v_{0}[/tex] on both sides

*(Answer)*= [tex]a*t+v_{0} =v_{1}[/tex]

Hope This Helps

BangtanBoyScouts

Solve: x2 − x − 6 x2 = x − 6 2x + 2x + 12 x After multiplying each side of the equation by the LCD and simplifying, the resulting equation is

Answers

Answer:

C) 3x^2 + 20x + 12 = 0

Step-by-step explanation: Because it is the right answer


What are the solutions to the equation?

A. x = -6 and x = -2/3

Step-by-step explanation:

this was a second part to the question for me so i decided to give u guys it as well, incase u come across it

Solve
6x−10(x+12)=−4x−24
Show your work.

Answers

6x - 10(x + 12) = -4x - 24

Distributive property.

6x - 10x - 120 = -4x - 24

Add 10x to both sides.

6x - 120 = 6x - 24

Cancel like terms.

Add 24 to both sides.

-96 ≠ 0.

This equation is incorrect, as -96 will never be equal to 0.

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