The second of two numbers is 5 more than twice the first. Their sum is 80. Find the numbers.....Thanms

Answers

Answer 1
This is a simple equation; "x" is the first number and (5+2x) is the second number because it is "5 more than twice the first" and the sum = 80. So... x + (5+2x) = 80 You start by subtracting "x" and moving it to the other side...5 + 2x = 80 - x Then you add the "x" to the other side...5 + 3x = 80 Next, subtract 5 to the other side...3x = 75 Finally, divide the 3 to the other side...x = 75/3...x = 25 25 is the first number so you then multiply it by 2 and add five to get the final answer. 25 + 55 = 80

Related Questions

Jeremy drew a polygon with four right angles and four sides with the same length. Name all the polygons that he could have drawn

Answers

Square. 

A square is a rectangle, so rectangle.

A rectangle is a parallelogram, so parallelogram.

Equilateral.

Also Rhombus.

(I think there may be others but these are the few I know)

Simplify using exponents: B12/B5

Answers

I think what you mean is:
[tex]\frac{b^{12}}{b^{5}}[/tex]

Then using our rules of exponents, this is the same as
[tex]b^{12-5}=b^{7}[/tex]

Answer: call 267 188 3800 today

Step-by-step explanation:

if a = 42 and b = 2 then find ab

Answers

a = 42
b = 2
ab = (42)(2) = 84
If a=42 and b= 2 then the answer is 84

The measures of three sides of a triangle can be represented by 2x, 3x and -5, and 4x + 2. The perimeter of the triangle is 65 inches.
a) give an equation to represent this situation.
b) solve for x
c) What are the three lengths of a triangle?

Answers

the sides are 2x, 3x-5 and 4x+2
perimiter is the sum of the sides

a.
2x+3x-5+4x+2=63 is an equation

b.
solve
group like terms
2x+3x+4x-5+2=65
add like terms
9x-3=65
add 3 to both sides
9x=68
divide both sides by 9
x=68/9


2x=2(68/9)=136/9 in
3x-5=3(68/9)-5=(68/3)-5=(68/3)-(15/3)=53/3
4x+2=4(68/9)+2=272/9+2=272/9+18/2=290/9

the side lengths are 136/9in, 53/3in, and 290/9in

K=1/2 mv^2. Determine m when v=30 and k=4500

Answers

[tex]K=\frac{1}{2}mv^2[/tex]

when v=30 and k=4500
[tex]4500=\frac{1}{2}m(30)^2[/tex]
[tex]4500=\frac{1}{2}m900[/tex]
[tex]4500=450m[/tex]
divide bot sides by 450
[tex]10=m[/tex]


m=10
k = 1/2mv^2.....v = 30, k = 4500

4500 = 1/2m30^2
4500 * 2 = 900m
9000 = 900m
9000/900 = m
10 = m <==


the formula for the perimeter of a rectangle is P=2l, + 2w, where l is the length and w is the width. A rectangle has a perimeter of 24 inches. Find it's dimensions if it's length is 3 inches greater than it's width.

Answers

P = 24 inches
w = x
l = 3 + x

P = 2l + 2w
24 = 2(3+x) + 2(x)
24 = 6 + 2x + 2x
24 = 6 + 4x
24 - 6 = 4x
18 = 4x
18/4 = x
4.5 = x
x = 4.5

Therefore, w = 4.5 inches and l =  7.5 inches

The dimensions of the rectangle are 7.5 inches and 4.5 inches, or w = 4.5 inches and l =  7.5 inches if the perimeter of a rectangle is P=2l, + 2w.

What is the area of the rectangle?

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

The rectangle can be defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

P = 24 inches

l = 3 + w

P = 2l + 2w

24 = 2(3 + w) + 2w

24 = 6 + 2w + 2w

24 = 6 + 4w

24 - 6 = 4w

18 = 4w

w = 4.5 inches

l = 3 + 4.5 = 7.5 inches

Thus, the dimensions of the rectangle are 7.5 inches and 4.5 inches, or w = 4.5 inches and l =  7.5 inches if the perimeter of a rectangle is P=2l, + 2w.

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Which point below is not on the graph of p(x) = /36-x?

Answers

ooh fun!

It is (-35,1) hope this helps, have a nice week! ;D

Answer:

(-35,1)

Step-by-step explanation:

the density of gold is 19.3g/cm3. if I have a nugget with a volume of 10 cm3, what is the mass of the cube?

Answers

Mass= Density•Volume
M=19.3g/cm3• 10cm3
M=193g

math question down below

Answers

x - 2/5 = 7
5x - 2 = 35
5x = 37
  x = 37/5
  

One photoshop charges $0.36 per print. Another photoshop charges $2.52 plus $0.08 per print. Juan finds that the cost of printing his photos is the same at either shop. How many photos does Juan have to print?

Answers

He would have to print 9
He needs to print 9

Using algebraic equation to find the measures of the two angles described below Begin by letting X represent the degree measure of the angle supplement the measure of the angle is 17 times greater than its supplement what is the measure of the supplement what is the measure of the other angle

Answers

a = an angle x = its supplement . a + x = 180 by the definition of the supplement so a = 180-x x = 180-a . a = 17x substitute 17x + x = 180 18x = 180 x = 10 . a = 17*10 a = 170

The expression 625(1−x) gives the discounted price of a television, where x is the percent of the discount written in decimal form.

What does the 625 represent in the expression?

the original price of the television

the percent of the original price being paid

the discounted price of the television

the percent of discount

Answers

the original price of the television

is your answer.

Let

x------->  the percent of the discount written in decimal form.

y-------> the discounted price of the television

we know that

[tex]y=625(1-x)[/tex]

In the expression

[tex]625[/tex]-------> represent the original price of the television

y--------> the discounted price of the television

x-------> the percent of discount

therefore

the answer is the option

the original price of the television

PLEASE HELP!! IM VERY STUCK.
Although she's only in middle school, Tameka loves to drive go-carts! Her favorite place to drive go-carts, Drivers Delight, has 3 circular tracks. Track 1 has a radius of 60 feet. Track 2 has a radius of 85 feet. Track 3 has a radius of 110 feet.
a. Compute the circumference of Track 1.
b. Compute the circumference of Track 2.

Answers

There is only one useful equation that we can apply to both questions. That would be the formula for the circumference of a circle.

Circumference = 2πr, where r is the radius of the circle

a.) Since track 1 has a radius of 60 ft,

Circumference = 2π(60 ft) = 378 ft

b.) Since track 2 has a radius of 85 ft,

Circumference = 2π(85 ft) = 534 ft

Answer:

Circumference of Track 1 is 377.14 feet and circumference of Track 2 is 534.29 feet.

Step-by-step explanation:

Consider the provided information.

Drivers Delight, has 3 circular tracks. Track 1 has a radius of 60 feet. Track 2 has a radius of 85 feet. Track 3 has a radius of 110 feet.

Part (A)

Compute the circumference of Track 1.

Track 1 has a radius of 60 feet.

The formula used to find the circumference of the circle is: [tex]2\pi r[/tex]

The circumference of Track 1 is:

[tex]2\pi r=2\times \frac{22}{7}\times 60[/tex]

[tex]2\pi r=377.14 [/tex]

Thus, circumference of Track 1 is  377.14 feet.

Part (B)

Compute the circumference of Track 2.

Track 2 has a radius of 85 feet.

The circumference of Track 2 is:

[tex]2\pi r=2\times \frac{22}{7}\times 85[/tex]

[tex]2\pi r=534.29 [/tex]

Thus, circumference of Track 2 is 534.29 feet.

simplicity the expression (0.4^3)

Answers

0.4^3 = 0.4 * 0.4 * 0.4 = 0.064
(0.4^3) = (0.4)(0.4)(0.4) = 0.064

hope it helps

How is the quotient of a number and 6 decreased by 10 is equal to 2

Answers

I think it'd be 6-10= -4  and then -4 + 2 = 6.

Did that make sense?

Tim found a jacket that was 25% off. The original price was $45.00. What was the sale price?

Answers

Hey! To do this, take the $45 from the original price and multiply it by 0.75 (25% off) to get your answer.

Answer: $33.75

Each night Ann and her family empty their pockets, purses, and wallets and place all of the pennies, nickels, dimes, and quarters in a large container. Ann helps her father count the money. If there are 145 pennies, 42 dimes, & 12 quarters, how much money did she count?

Question 4 options:

$8.65


$11.65


$46.45


$199.00

Answers

The answer to this is $8.65 because pennies are equal to 1 cent so 145 pennies is $1.45. Dimes are equal to 10 cents so 42 dimes is $4.20 and lastly quarters are 25 cents each so 12 quarters is $3.00 and you just add them all up and it equals $8.65

In the figure, GK (with an arrow pointing right) bisects angle FGH.

(L = angle)

if mL FGK = 3v - 4 AND mL KGH = 2v +7

a) 33
b) 58
c) 11
d) 29

Answers

mL FGK = 3v - 4 AND mL KGH = 2v +7

mL FGK = mL KGH 

3v - 4 =  2v + 7
-2v         -2v


v - 4 = 7
  +4   +4

v = 11

Compare and contrast expressions equations and inequalities

Answers

Equations can have one solution, but inequalities have infinite solutions.

Hope this helps!

Mr Grant needs 30 pieces of felt. He can buy them in packs of 10 or as single pieces. What are the different ways Mr Grant can buy felt?

Answers

Grant can buy 3 packes of the 10 or he can put 30 packs of the single pieces
Grant can but 3 packs of 10, 30 single pieces, or 2 packs of 10 single pieces

you have scored 7,10,8 , and 9 on four quizzes . write and solve an equation to find the score you need on the fifth quiz so that your mean score is 8

Answers

You have scored 7, 10, 8, and 9 on four quizzes. You are trying to find the score you need on the fifth quiz so that your mean score is 8. The definition of means is to add all of the numbers and divide them by how many numbers you added. Therefore, 7+10+8+9 = 34. You need to add the fifth score, which will be "x". (34+x)/5 = 8. 34 + x = 40. x = 6. Thus, your answer is 6.
Final answer:

To achieve a mean score of 8 after five quizzes, you would need to score 6 in your fifth quiz, assuming your scores in the first four quizzes were 7, 10, 8, and 9 respectively.

Explanation:

Yes, these scores are associated with the subject of mathematics, particularly the branch of math known as statistics. This involves determining how to achieve a desired mean, which in this case is 8, given your previous quiz scores.

The mean score is determined by adding all your quiz scores together and dividing by the total number of quizzes. So for your first four quizzes, the total is 7 + 10 + 8 + 9 = 34. The mean so far is 34 ÷ 4 = 8.5 which is already above our targeted mean of 8.

To achieve a mean of 8 over 5 quizzes, the total of your scores would need to be 8 x 5 = 40. Therefore, the score you would need to get on your fifth quiz would be 40 (the desired total) - 34 (the current total) = 6.

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which decimal is least in value
0.511 0.57 0.453 0.582

Answers

0,453 is the answer
0.453, 0.511, 0.57, 0.582
smallest to greatest values

How many places to the left did you move the decimal point to write 41,200 in scientific notation

Answers

4 since there are 4 digits to move the decimal

On a map of Tennessee, one inch represents 15 miles. If Chattanooga and Nashville are 11.3 inches apart on the map, how many miles apart are the cities?

Answers

The answer is 169.5 miles

You're supposed to multiply 15 and 11.3 to get the answer.
if you do 15 times 11.3 that equals 169.5 mi

Amy has set aside $150 a month for her cell phone bill. The cost for a monthly cell phone plan is a $65 access fee plus $20 per gigabyte of data used. Which expression represents the amount of money Amy has left from her monthly budget after she pays her cell phone bill?

Answers

Final answer:

The expression to represent the amount of money Amy has left from her monthly budget after paying her cell phone bill is $85 - $20x.

Explanation:

To find the amount of money Amy has left from her monthly budget after paying her cell phone bill, we need to subtract the cell phone bill from her monthly budget. Amy has $150 a month and the cell phone bill consists of a $65 access fee plus $20 per gigabyte of data used.

Let's represent the amount of data used in gigabytes as 'x'. So, the expression to represent the amount of money Amy has left is:

$150 - ($65 + $20x)

This expression simplifies to:

$85 - $20x

So, the amount of money Amy has left from her monthly budget after paying her cell phone bill is $85 - $20x.

Final answer:

The expression that represents the amount of money Amy has left from her monthly budget after she pays her cell phone bill is $150 - ($65 + $20x).

Explanation:

Amy has set aside $150 a month for her cell phone bill. The cost for a monthly cell phone plan is a $65 access fee plus $20 per gigabyte of data used. To calculate the amount of money Amy has left from her monthly budget after she pays her cell phone bill, we need to subtract the total cost of the cell phone plan from her budget. So, the expression that represents the amount of money Amy has left is:



$150 - ($65 + $20x)



Where x represents the number of gigabytes of data Amy has used.

Given that 1 meter = 1 x 109 nanometers, what is the diameter of the average cell in the human body, in nanometers? Show your work


The diameter of the average cell in the human body is 1 x 10-5 meters

Answers

This is a conversion problem (meters to nanometers) so all you do is use the values given to you in the question.

We know that 1 meter = 1*10^9 nanometers, meaning that for every one meter is also 1*10^9 nanometers and vice versa. So we can set up the "train tracks"
[
tex] \frac{1*10^9 nanometers}{1 meter} * (1*10^-5 meters) [/tex]
I set it up that way because it cancels out the units "meters" since 1 meter is in the denominator and the other meter is in the numerator.

Then I'll be left with: [tex] \frac{1*10^9 nanometers}{1} * (1*10^-5 ) [/tex]
Now we can solve as is. 
[tex] \frac{1*10^9 nanometers}{1} * (1*10^-5) = 10000 nanometers [/tex]

A group of 5 friends are sharing 2 pounds of trail mix . Write a division problem and a fraction to represent this situation

Answers

6.4 there's 16 ounces in a pound thats 32 ounces so divide that by 5 =6.4 
2 ÷ 5
2/5
Each friend gets 40% of the bag, btw

the quotient of a number and -2

Answers

Written form is n/-2.

Consider the universal set R,R, define the interval A=[−7,1],A=[−7,1], interval B=(−1,5),B=(−1,5), and CC be the negative real numbers. Complete the following exercises in interval notation.

1. A∪B=A∪B=

2. A∩B∩C=A∩B∩C=

3. A∩(B∪C)=A∩(B∪C)=

4. A^c ∪ B^c∪ C^c=

5. (C−A)∪(B−C)=(C−A)∪(B−C)=

Answers

Draw a diagram representing the real number line, and the sets A  and B.

According to the diagram:

1. A∪B= [-7, 5)

2. 2. A∩B∩C= (-1, 0)

3. A∩(B∪C)= [-7, 1] ∩ (-INFINITY, 5) = [-7, 1]

4. 4. A^c ∪ B^c∪ C^c= (not A) ∪ (not B) ∪ (not C) = 

(-infinity, -7) ∪ (1, infinity)   ∪  (-infinity, -1] ∪ [5, infinity)   ∪ [0, infinity)

= (-infinity, -1] ∪ (1, infinity ) ∪ [0, infinity) = (-infinity, -1] ∪ [0, infinity) 

5. (C−A)∪(B−C)= "in C but not in A" union "in B but not in C"

=(-infinity, -7) ∪ [0, 5) 

Final answer:

The question involves calculating various set operations in interval notation, including the union, intersection, and complements using intervals A, B, and set C (negative real numbers) within the universal set of real numbers R.

Explanation:

The student is working with set operations in interval notation, particularly focusing on the union, intersection, and complement relative to the set of real numbers R. Given intervals A=[-7,1], B=(-1,5), and set C being the negative real numbers, we need to perform various set operations.

A⋃B is the union of A and B, which is the set of all elements in either A or B.A∩B∩C is the intersection of A, B, and C, which represents all elements common to all three sets.A∩(B⋃C) represents the intersection of A with the union of B and C.A¹ ⋃ B¹ ⋃ C¹ is the union of the complements of A, B, and C relative to the universal set R.(C-A)⋃(B-C) represents the union of the set difference of C and A with the set difference of B and C.

A mother wants to invest ​$11,000.00 for her​ son's future education. She invests a portion of the money in a bank certificate of deposit​ (CD account) which earns​ 4% and the remainder in a savings bond that earns​ 7%. If the total interest earned after one year is $ 660.00, how much money was invested in the CD​ account?

Answers

First let's set the formula
0.04x+0.07 (11000-x)=660
Solve for x
0.04x+770-0.07x=660
0.04x-0.07x=660-770
-0.03x=-110
X=110÷0.03
X=3,666.67 round this answer
X=3667 invested in the CD account at 4%

The remainder is invested in the saving bond the earns 7% which is
11,000−3,667=7,333

Hope it helps!
Final answer:

The mother invested $5000 in the CD account and the remaining $6000 in a savings bond. This solution was arrived at by setting up a system of two equations, which we solved simultaneously.

Explanation:

Let's denote the amount of money invested in the CD account as x and the amount in the savings bond as y. The total amount of money is $11000, so we can set up the first equation as: x + y = 11000.

Then, the mother earns interest from both accounts. The CD account earns 4%, that's 0.04x while the savings bond earns 7%, that's 0.07y. The total interest is stated to be $660, so we can have the second equation as: 0.04x + 0.07y = 660.

From the first equation, we can solve for y: y = 11000 - x and substitute it into the second equation which gives us: 0.04x + 0.07(11000 - x) = 660.

Solving for x, you should get approximately $5000. This means a balance of $6000 was invested in the bond (11000 - 5000). Therefore, the mother invested $5000 in the CD account.

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