Write an equation for each sentence and then solve.
The sum of two numbers is seventy-two. One of the numbers
is two times the other. What are the numbers?

Answers

Answer 1

Answer:

6*12=72

Step-by-step explanation:

Find the factors of 72 and see which ones are double it's pair.


Related Questions

When a number is divided by 8, the quotient is 7 and the remainder is 5. When the same number is 6 divided by 6, the remainder is?

Answers

Answer:

10 remainder 0

Step-by-step explanation:

60/8 = 7.5

6/6 = 10 remainder 0

8 - (3 + b) = b - 9
please show work

Answers

b=7 I showed my work so I hope it helps!

8 - (3 + b) = b - 9

Opening the brackets changes the symbol to it's opposite symbol, which gives us

8 - 3 - b = b - 9

By using the transposition method, we get

8 - 3 + 9 = b + b

or, 14 = 2b

or, 14/2 = b

or, 7 = b

The value of b is 7.

For what values of x is the equation x2−x=20 true?

Answers

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

For what values of x is the equation x² − x = 20 true?

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \sf \: x ^ { 2 } - x = 20[/tex]

Subtract 20 from both sides.

[tex] \sf \: x^{2}-x-20=0 [/tex]

To solve the equation, factor [tex]\sf\: x^{2}-x-20[/tex] using formula [tex]\sf\:x^{2}+\left(a+b\right)x+ab=\left(x+a\right)\left(x+b\right)[/tex]. To find a and b, set up a system to be solved.

[tex] \sf \: a+b=-1 \\ \sf \: ab=-20 [/tex]

As ab is negative, a and b have the opposite signs. As a+b is negative, the negative number has greater absolute value than the positive. List all such integer pairs that give product -20.

[tex] \sf1,-20 \\ \sf 2,-10 \\ \sf4,-5 [/tex]

Calculate the sum for each pair.

[tex] \sf1-20=-19 \\ \sf2-10=-8 \\ \sf 4-5=-1 [/tex]

The solution is the pair that gives sum -1.

[tex] \sf \: a=-5 \\ \sf \: b=4 [/tex]

Rewrite factored expression [tex]\sf \left(x+a\right)\left(x+b\right) [/tex] using the obtained values.

[tex] \sf\left(x-5\right)\left(x+4\right) [/tex]

To find equation's solutions, solve x-5=0 and x+4=0.

[tex] \bf \: x=5 \\ \bf x=-4[/tex]

⇨ The values of x are 5 & - 4.

Complete the solution of the equation. find the value of y when x = -14
-2x-3y=49

Answers

Question:

Complete the solution of the equation. find the value of y when x = -14.

-2x - 3y = 49

Solution:

To find the value of y we need to plug and substitute the equation if x = -14.

-2x - 3y = 49-2(-14) - 3y = 4928 - 3y = 49-3y = 49 - 28-3y = 21/-3y = -7

Answer:The value of y is -7

The measure of angle C __is
degrees, and the measure of angle D__ is
degrees.

Answers

Answer:

C=78

D=102

Step-by-step explanation:

co-interior angles are sepplementary

1.Find a formula for the sun S of any three consecutive odd numbers.
2.Hence,find the value of S when the greatest odd number is -101.​

Answers

Answer:

1) 6n+9

2) -309

Step-by-step explanation:

Let say 2n+1,2n+3,2n+5 the three consecutive odd numbers (n in Z)

1) sum= (2n+1)+(2n+3)+(2n+5=6n+9

2) 2n+5=-101

2n=-106

n=-53

S=6n+9=6*(-53)+9=-309

Match the lengths of each set of legs with the length of the corresponding hypotenuse that will form a right triangle.
Assume the lengths are in the same unit of measure.
4 and 1
15
5 and 6
29
2 and 5
61
17
9 and 12

Answers

Answer: the answer is in the screenshot

Step-by-step explanation:

The hypotenuse of each set of legs of a right triangle are:

1. 5 and 6 => √61

2. 4 and 1 => √17

3. 2 and 5 => √29

4. 9 and 12 => 15

What is the Hypotenuse?

In a right triangle, the hypotenuse is the longest side that is opposite to the right angle. The hypotenuse can be determined by finding the square root of the sum of the other two legs.

1. √(5² + 6²) = √61

2. √(4² + 1²) = √17

3. √(2² + 5²) = √29

4. √(9² + 12²) = 15

Learn more about the hypotenuse on:

https://brainly.com/question/2217700

36/38 in its simplest form??

Answers

Answer:

18 / 19

Step-by-step explanation:

Divide it by 2

How do I do this pls answer step by step explanation

Answers

Answer:

280cm^2

Step-by-step explanation:

[tex]area \: of \: rhombus = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times 35cm \times 16m \\ = 280 {cm}^{2} [/tex]

Answer:

280

Step-by-step explanation:

→ State the rhombus formula

( p × q ) ÷ 2

→ Substitute in the values

( 35 × 16 ) ÷ 2

→ Simplify

280

Find set
A={1, 2, 6, 10}
B={3, 6, 9, 10, 11}
C = {1, 2, 4, 7, 11}

Answers

If U = {1, 2, 3, …, 12} is the universal set, and

A = {1, 2, 6, 10}

B = {3, 6, 9, 10, 11}

C = {1, 2, 4, 7, 11}

then

(1) A U B is the set containing all elements from A and B,

A U B = {1, 2, 3, 6, 9, 10, 11}

(2) AB is the set of elements that are contained in both A and B,

AB = {6, 10}

(3) Unfortunately, AB U C is somewhat ambiguous. It could mean (AB) U C or A ∩ (B U C ). Then either

(AB) U C = {6, 10} U {1, 2, 4, 7, 11} = {1, 2, 4, 6, 7, 10, 11}

or

A ∩ (B U C ) = {1, 2, 6, 10} ∩ {1, 2, 3, 4, 6, 7, 9, 10, 11} = {1, 2, 6, 10}

The first interpretation is probably the intended one, since that essentially reads the set operations from left to right.

(4) A' U B is the union of A' and B, where A' is the complement of A, or all elements in U that are not in A. We have

A' = U - A = {3, 4, 5, 7, 8, 9, 11, 12}

and so

A' U B = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

(5) We have

A U C = {1, 2, 4, 6, 7, 10, 11}

so that

(A U C )' = U - (A U C ) = {3, 5, 8, 9, 12}

(6) We have

B' = U - B = {1, 2, 4, 5, 7, 8, 12}

and so

AB' = {1, 2}

(7) Using the complements found in (4) and (6), we have

A' U B' = {1, 2, 3, 4, 5, 7, 8, 9, 11, 12}

Alternatively, we can use the fact that

A' U B' = (AB)'

and since we know from (2) that AB = {6, 10}, we end up with the same result,

(AB)' = U - (AB) = {1, 2, 3, 4, 5, 7, 8, 9, 11, 12}

(8) We have

A U B U C = {1, 2, 3, 4, 6, 7, 9, 10, 11}

so that

(A U B U C )' = {5, 8, 12}

The area of a circle is 144 m2. What is the diameter of the circle? O A. 6 m B. 12 in OC. 24 in OD. 144 m​

Answers

Hope it helped!! :))

Rounding decimals 3.5691 thousandths

Answers

Answer: 3.569

Explanation:

There's a 9 in the thousandths place. The next digit to the right is 1, which is not 5 or more. So we'll just drop that 1 and that's why the answer is 3.569

Answer:

3.569

Step-by-step explanation:

Rounding is the process of shortening a number to a certain number of digits by finding the closest number with the desired number of digits. When rounding, look one digit to the right of the desired decimal place. In this case, you want the thousandths place. The thousandths place is 3 digits after the decimal, so look at the number next to the 9, the 1. If the number is 5 or greater round up, if it is 4 or less round down. Therefore, 3.5691 should be rounded down to 3.569.

Other examples include,

4.8736 being rounded up to 4.874

6.3168 being rounded up to 6.317

9.7340 being rounded down to 9.734

Evaluate 5a3 + 3b4 when a 4 and b= - 5​

Answers

5a^3 + 3b^4

insert the numbers into the equation.

5(4)^3 + 3(-5)^4

evaluate

5(64) + 3(625)

evaluate

320 + 1875

the solution is:

2195

I need help this is my homework I will brainless you

Answers

Answer:

4-10.5

5-no because the nearest thousandth is not 5 or more

6- Tu is correct because the tenth is 6 which is more than 5 so it can be rounded up to $79

hãy nêu định lý pytago

Answers

The text of the Pythagorean Theorem The Pythagorean Theorem states: “The sum of the squares of the lengths of the two sides of the right triangle, which are the shortest sides in a right-angled triangle, is equal to the square of the length of the hypotenuse, which is the longest side of the triangle.”

And in symbols: Pythagorean theorem = ( A² + B² = C²)

where ;

● A, B: the two sides of a right triangle ABC.

● C: The hypotenuse of a right triangle is ABC, which is the longest side.

It should be noted that the inverse of the theory is also true; Since the triangle to which the Pythagorean theorem applies, namely: A² + B² = C², is necessarily a right-angled triangle.

In Vietnamese ( Bằng tiếng việt) ;

Nội dung của Định lý Pitago Định lý Pitago phát biểu: “Tổng bình phương độ dài hai cạnh của tam giác vuông, là cạnh ngắn nhất của tam giác vuông, bằng bình phương độ dài của cạnh huyền, là cạnh dài nhất của tam giác. "

Và trong các ký hiệu: Định lý Pitago = (A² + B² = C²)

ở đâu ;

● A, B: hai cạnh của tam giác vuông ABC.

● C: Cạnh huyền của tam giác vuông ABC là cạnh dài nhất.

Cần lưu ý rằng điều ngược lại của lý thuyết cũng đúng; Vì tam giác áp dụng định lý Pitago, cụ thể là: A² + B² = C², nhất thiết phải là tam giác vuông.

I hope I helped you^_^

Does anyone know 81,452 divided by 93

Answers

Answer:

875

Step-by-step explanation:

The answer should be 875.82

8+(7-1)²/20-9·2
Please hurry

Answers

Hey there!

Just do PEMDAS to solve

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

8 + (7 - 1)^2 / 20 - 9 * 2

= 8 + 6^2/ 20 - 9 * 2

= 8 + 36/10 - 9 * 2

= 8 + 9/5 - 18

= 49/5 - 18

= - 41/5

Therefore, your answer is:

-41/5 ≈ 8 1/5 or 8.2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Someone help me with #12

Answers

Answer:

12.

[tex]x = \frac{PQ-14}{3}[/tex] and [tex]x = \frac{QR + 10}{7}[/tex]

Step-by-step explanation:

Hope this helps!

Have a nice day! :-)

Answer:

x = 6

Step-by-step explanation:

If PQ = 3x + 14, QR = 7x - 10, and Q is the midpoint of PR, then PQ = QR.

[tex]PQ = 3x + 14 = QR = 7x - 10\\3x + 14 = 7x - 10\\3x + 24 = 7x\\24 = 4x\\6 = x\\x = 6[/tex]

i need help on number 4!!!!

Answers

Answer:

Yes.

Step-by-step explanation:

While there are no labels to be COMPLETLY sure, they both APPEAR to be 90 deg, which checks out as they APPEAR to combine to make a straight angle.

Hope this helps!

Can someone help me please ?!? :)

Answers

8(2)^2 + 8(2) + 9 = 57

your answer is 57

have a nice semester :)

Answer:

57

Step-by-step explanation:

8(2)^2 + 8(2) + 9

8×4+16+9

32+16+9=57

Convert 9.3 kribs into grees given that 4.2 kribs = 18 grees.

Answers

Answer:

39.9 grees

Step-by-step explanation:

Since 4.2 kribs = 18 grees

Then,

1 krib = 18/4.2 grees

9.3 kribs = (18/4.2) x 9 3

9.3 kribs = 39.9 grees.

Order the numbers from least to greatest -5, 18, 0, -18, 9, -15

Answers

Answer:

below

Step-by-step explanation:

this is very simple one I don't study mathematics but also know this

-18<-15<-5<0<9<18

-18, -15, -5, 0, 9, 18 :) it’s okay to not understand at first you’ll get it
(Stan itzy)

An elevator is 180 feet above the first floor. Each second it descends
12 feet.
a. What integer is the change in the height of the elevator each second?
b. Copy and complete the table.
c. Estimate how many seconds it takes the
elevator to get to the first floor. Explain
your reasoning.
d. From the first floor, it takes 4 seconds to reach the basement floor. What
is the height of the basement floor with respect to the first floor?
Time 3 sec 6 sec 9 s

Answers

Answer:

9 sec

Step-by-step explanation:

because it decends 12 feet evry second so the answer is nine sec

Q6. What is the degree of vertex E in this network diagram? *
1 point
B
С
A
E
D
оооо
2
O 3
Q7. In AABC, the sides lengths are given as shown in the diagram and angle point
BAC 40° 12: What is the area of the triangle to the nearest square metre?

Answers

Answer:

Step-by-step explanation:

50 POINTSSSSSS
If C(n) = 20 - [tex]\frac{5}{8}[/tex] m, find C(0) and C(16). What is the zero of C?

Answers

The answer is this equation is 10

You babysit to make a little extra money. You charge $12 an hour and earned $180 by the end of the month. How many hours did you babysit?
a. Write an equation that models the problem.
b. Find the solution. Include units.

Answers

Answer:

The equation is 12x=180. You worked for 15 hours.

Step-by-step explanation:

Do 12x=180 then divide by 12. You get x=180/12. Then simplify

Answer:

$15/hr

Step-by-step explanation:

y= mx + b

180= 12h+ b

solution = 15 hrs

If LM = X+3, MN = 2x, LN = 4x, and M is between L and N, then LN = ?​

Answers

Answer:

LN = 12

Step-by-step explanation:

L______M_____N

LM = x+3

MN = 2x

LN = 4x

M is the midpoint of LN

LN= ?

LM + MN = LN

x + 3 + 2x = 4x

x + 2x + 3 = 4x

3x + 3 = 4x

-3x         -3x

----------------------

3 = 1x

/1    /1

----------------------

3 = x

LN = 4x

= 4 (3)

= 12

LN = 12

Answer:

LN = 12

Step-by-step explanation:

If LM = X+3, MN = 2x, LN = 4x, and M is between L and N, then LN = 12.

What are the steps to solve this problem?

0.0000000009 ÷ 0.0003

Show your work

Answers

Step-by-step explanation:

0.0003÷0.0000000009=

333,333.33333333

Julie is arranging pictures in a photo album one time she arranges them into six on each page she rearrange them with eight on each page what is the least number of photos Julie could have put in her album

Answers

Answer:

Step-by-step explanation:

N is the midpoint of AC ; AN = 4x - 7 and NC = 5x - 15
Find x=

Answers

Answer:

x = 8

Step-by-step explanation:

AN = NC,

4x - 7 = 5x -15,

-7 = x -15,

8 = x

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