One integer is 8 less than another integer. The sum of the two integers is 72. Find the two integers. Step 2 of 2: What are the two integers? Separate values with a comma.

Answers

Answer 1

Answer:

40 and 32

Step-by-step explanation:

This is a linear systems equation problem.

a + b = 72

a = b - 8

Use substitution. Substitute b-8 for a in a+b=72

b-8+b=72

2b-8=72

add 8 to both sides

2b=80 (divide both sides by 2)

b = 40

Plug the value of b into the a=b-8

a=40-8

a=32

Check:  40 + 32 = 72 So the two integers are 40 and 32


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Solve Multi-step problems Outlevel
Question 2
Carly sold 18 rolls of wrapping paper. That is 2 times as many rolls
as Jasmine sold.
How many rolls of wrapping paper did they sell altogether?
Rolls of wrapping paper sold
Carly
Jasmine
?
rolls of wrapping paper

Answers

Answer:

54 wrapping papers sold

at does the point (2, 1.5) represent in this context?

Answers

In what context? Do you mean calculus If you are talking about graphing on a graph plane it would be the two accelerates on the x axis so (left or right) and then the 1.5 accelerates on the y axis so 1.5 on the y axis would be one and halfway to the 2 mark on the y axis so in the middle of 1 to 2 on the y axis the y axis goes (up and down)

Choose the missing step in the given solution to the
inequality -X - 10 > 14 + 2x.
_X
- 10 > 14 + 2x
-3X - 10 > 14
x<-8
0 -3x > 24
0 -3x > 4
0-3x>.
- 4
0 -3x < 24

Answers

Answer:

Step-by-step explanation:

Find the area of grass

Answers

Answer:

125m²

Step-by-step explanation:

find the area of ​​the green rectangle and remove the area of ​​the yellow rectangle

(12 - 2) * (16 - 2) - (6 * 2.5) =

10 * 14 - 15 =

140 - 15 = 125m²

The hypotenuse of an isosceles right triangle is 4cm longer than either of its legs note that an isosceles right triangle is a right triangle who’s legs are the same length find the exact length of its legs and it’s hypotenuse

Legs ? Cm
Hypotenuse? Cm

Answers

Answer:

Step-by-step explanation:

let the side of triangle=x

hypotenuse=x+4

(x+4)^2=x^2+x^2

x^2+8x+16=2x^2

x^2-8x-16=0

x²-8x=16

x²-8x+16=16+16=32

(x-4)²=16×2=(4√2)²

x-4=±4√2

x=4±4√2

either x=4+4√2=4(1+√2)

or x=4-4√2=-4(√2-1)<0 (rejected)

leg x=4(1+√2)≈4(1+1.414)≈4×2.414≈8.828≈8.83 cm

hypotenuse≈8.83+4=12.83 cm

Due tomorrow: Answer question 19 with steps

Answers

Refer to the attachment

A population of bacteria is initially 2,000. After three hours the population is 1,000.

Assuming this rate of decay continues, find the exponential function that represents the size of the bacteria population after t hours. Write your answer in the form f(t)=a(b)t. Report numbers as fractions when necessary, or if using decimals, round to four decimal places.

Answers

The population starts at 2000, so a=2000.

We also know that the population in 3 hours is 1000, so we can setup the equation:

     2000 b^3 = 1000

This gets us:

    b^3 = 1/2

And taking the cube root of both sides gives us:

    b ≈ 0.7937005259841

Rounding that to 4 places, we have:

    f(t) = 2000 (0.7937)^t

What is sin 60°?
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D.
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Answers

Answer:

F

Step-by-step explanation:

If you look at that triangle and do trigonometry with sin, you would have to do opposite/hypotenuse. This would be (square root of 3)/2

-2(2v + 11) + 1 =-5(9v – 4) ​

Answers

Answer:

v=1

Step-by-step explanation:

-2(2v + 11) + 1 =-5(9v – 4) ​

Distribute the -2 and -5.

-4v-22+1=-45v+20

Calculate the sum.

-4v-21=-45v+20

Move the variable to the left-hand side and change the sign.

-4v-21+45v=20

Move the constant to the right-hand side and change the sign.

-4v+45v=20+21

Collect like terms.

41v=20+21

Add the numbers.

41v=41

Divide both sides by 41

v=1

Hope this helps :)

Answer:

v = -1/49

Step-by-step explanation:

distribute

-4v - 22 + 1 = 5(9v-4)

add the numbers -21 + 1 = -21

distribute the other parenthesis

-4v  - 21 = 45v -20

add 21 to both sides to get v by itself

-4v - 21 + 21 = 45v + 20 + 21

-4v = 45v + 1

substract 45 v on both side now

-4v - 45v = 45v + 1 - 45v

simplify

-49v = 1

divide -49 on both side

v = -1 / 49

Find x, y, and z such that x³+y³+z³

Answers

Answer:

x= -y-z

y= -x-z

z= -x-y

i think this is it

Answer:

complete the question pls

Step-by-step explanation:

Which equations shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 34-5=-2N+ 10? Select two options Ox= 5 0 -15 = -5x 0 5x = 15 0 -15 = 5x Ox = -5

Answers

Answer:

-15 = -5x

5x = 15

Step-by-step explanation:

what is the completely factored form of x^4 - 4x^2 + 8x^3 - 32x + 12x^2 - 48? be sure to show all work.

Answers

Answer:

x^4 + 8x^2 + 8x^3 - 32x - 48

Step-by-step explanation:

You have to group the terms so the only terms that are similar are -4x^2 and +12x^2. -4x^2+12x^2 =+8x^2

There aren't any other similar terms so you can leave it as x^4 + 8x^2 + 8x^3 - 32x - 48

Answer:

x^4 + 8 x^3 + 8 x^2 - 32 x - 48

Hope This Helps!!!

Beth drops a bouncy ball, which bounces back up again. The graph 'below shows the
beginning path of the ball.

Answers

Answer:

Step-by-step explanation: its a

Write an equivalent expression by combining like terms. (4/5x+3)-(1/4x-1)

Answers

Answer:

11/20x + 4

Step-by-step explanation:

Well you can jsut solve it normally following the order of operations.

So first you can distribute -(1/4x-1) which turns into 1/4x+1

4/5x+3+1/4x+1 combine like terms and you’d hey 11/20x +4

There are 110 calories per 177.4 grams of Cereal X. Find how many calories are in 212.5 grams of this cereal.

Answers

Answer: 131.76 calories

Step-by-step explanation:

110 calories          x

----------------- = ----------------

177.4 grams     212.5 grams

cross multiply and divide

(110x212.5)

23, 375 / 177.4 grams

x= 131.76

Plz help guys!!!!!!!!

Answers

Answer:

3

2

Step-by-step explanation:

what’s the correct answer i will give brainlist

Answers

The scenario could be modeled as a linear equation to produce the mathematical model written as : y = 10x + 7

Number of cards from previous card = 7

Number of cards per cardstock purchased = 10

Let :

Number of cardstocks purchased = x

Total Number cards made = y

The total number of cards made, y can be expressed thus :

(Number of cards per cardstock purchased × number of cardstocks purchased) + number of previous cards

This means :

y = 10x + 7

Therefore, the required equation is y = 10x + 7

Zooooo this pic
This pic

3/8 is found between which pair of fractions on a number line

Answers

Answer:

2/8 and 4/8

Step-by-step explanation:

Answer:

2/8,4/8 or 1/4,1/2

Step-by-step explanation:

3+1=4 3-1=2

2/8=1/4

4/8=1/2

When a system of two linear inequalities in two variables has
boundary lines that are parallel, then this is NOT possible:
A) the entire plane is a solution
B) there is a single point of solution
C) there is a region with an infinite number of points of solution
D) no solution

Answers

Answer:

  B) there is a single point of solution

Step-by-step explanation:

If the boundary lines are parallel, the solution space will be outside the lines (no solution), inside the lines (infinite solutions), or on one side of the lines (infinite solutions.) It is not possible for two half-planes with parallel edges to overlap at a single point.

Your neighbour has two children. You learn that he has a son, Samuel. What is the probability that Samuel's sibling is a brother?

Answers

Answer:

1/2

Step-by-step explanation:

there is a 50 50 chance that somebody is male or female

i will be asking multiple questions (true or false ) you can just tell me which ones are true and which ones are false

4 is 10 times as much as 0.4 0.05 is 10 times as much as 50 0.3 is 10 times as much as
3 0.09 is 1/10 of 0.9 6 is 1/10 of 0.6 80 is 1/10 of 0.08

Answers

True, False, False, True, False, False

in a box of chocolate 1/5 are plain chocolate 1/3 are white chocolate the rest are white​

Answers

...ok and?

finish the question

Answer:

Step-by-step explanation:

[tex]\frac{1}{5}+\frac{1}{3}+x=1[/tex]

[tex]\frac{3}{15}+\frac{5}{15}+x=\frac{1.15}{15}[/tex]

[tex]\frac{8}{15} + x=\frac{15}{15}[/tex]

[tex]\frac{8}{15} - \frac{8}{15} + x=\frac{15}{15}-\frac{8}{15}[/tex]

[tex]x=\frac{7}{15}[/tex]

I think you are missing the question but I bet you are looking for the rest of chocolate in the box.

Like always, I need help :(

Answers

Answer:

The equation of the line is: x = 0

how much water should be added to 5 gallons of 50% acid solution to get a 20% solution?

ASAP!!! PLS

Answers

Answer:

22.5

Step-by-step explanation:

50%of5+20%=22.5

50/100×5=2.5

2.5+20=22.5%

Answer:

3 gallons

Step-by-step explanation:

10=100 percent

10/5 =2

5-2=3

3 gallons

An electrician must use 15 miles of electrical cable between electric poles. How many yards of cable will be used?
13,200
26,400
39,600
79,200
158,400

Answers

Answer:

B) 26,400

An electrician must use 15 miles of electrical cable between electric poles. How many yards of cable will be used?

13,200

26,400

39,600

79,200

158,400

26400 yards of cable is used.

the answer is B) 26,400

What is unit conversion?

Unit conversion is the process of changing a physical quantity from one unit of measurement to another. For example, converting kilometers to miles, Celsius to Fahrenheit, or liters to gallons. The process involves multiplying or dividing the original measurement by a conversion factor, which is a ratio of equivalent units

To convert miles to yards, we need to multiply by the conversion factor of 1 mile = 1760 yards.

15 miles * 1760 yards/mile = 26,400 yards

So, the electrician will use 26,400 yards of cable.

Hence, 26400 yards of cable is used.

the answer is B) 26,400

To learn more about the unit conversion, visit:

https://brainly.com/question/97386

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MATHEMATICS Proportion Х Y Z 145) If line XY is 24in, lines XY:YZ = 1:2. What is the length of line YZ? A) 12 in B) 24in C) 48in D) 72 in 147) If line YZ is 9ft, lines XY:YZ= 2:3. What is the length of line XY? A) 3ft B) 6ft C) 9ft D) 12ft 148) If line YZ is 1ft, line XY:YZ = 1:4. What is the length of line XY? A) 3in B) 27in C) 2ft D) 18in​

Answers

Answer:

  145. YZ = 48 in

  147. XY = 6 ft

  148: XY = 3 in

Step-by-step explanation:

In each case, multiply the given proportion by a value that makes it match the given information about the segments.

145)

XY is 24in, lines XY:YZ = 1:2. What is the length of line YZ?

Multiply the proportion by 24 in:

  XY : YZ = (24 in)(1) : (24 in)(2) = 24 in : 48 in

  YZ = 48 in . . . (C)

__

147)

YZ is 9ft, lines XY:YZ= 2:3. What is the length of line XY?

Multiply the proportion by 3 ft:

  XY : YZ = (3 ft)(2) : (3 ft)(3) = 6 ft : 9 ft

  XY = 6 ft . . . (B)

__

148)

YZ is 1ft, line XY:YZ = 1:4. What is the length of line XY?

Multiply the proportion by 3 in:

  XY : YZ = (3 in)(1) : (3 in)(4) = 3 in : 12 in = 3 in : 1 ft

  XY = 3 in . . . (A)

Gauge Think! Think! Think! Direction: Choose the letter of the correct answer. Write your answer on a separate sheet of paper. 1. Which of the following decimal is greater than 0.721? A. 0.129 B. 0.192 C. 0.712 D. 0.921 2. Which of the following is correct? A. 0.69 > 0.69 B. 0.013 < 0.31 C. 0.005 = 0.05 D. 0.306 > 0.36 3. How does 6 in 0.2645 compared with 6 in 0.2465? A. 6 in 0.2645 is more B. 6 in 0.2465 is more C. 6 in 0.2645 is less D. They are equal 4. Which set of decimals show from least to greatest? A. 0.01,0.042, 0.087.0.06 B. 0.002, 0.03, 0.85, 0.13 C. 0.006, 0.023, 0.438, 0.9 D. 0.42, 0.1, 0.253, 0.341 5. Which set of decimals show from greatest to least? A. 0.51,0.072, 0.187, .0.06 B. 0.2, 0.103, 0.05, 0.03 C. 0.106, 0.053, 0.238, 0.9 D. 0.82, 0.11, 0.853, 0.041 PLEASE ANWER IT CORRECTLY PLEASE PLEASE PLEASE​

Answers

Answer:

1.  D

2. B

3. The six in the first one is in the tenths place, the second is in the thousandths. But the answer is A.

4. 5, 0.9, 0.85, 0.438, 0.42, 0.341, 0.253, 0.13, 0.1, 0.087, 0.042, 0.03, 0.023, 0.01, 0.006, 0.002, 0 Sorry, I did greatest to least on accident.

5. 0.9, 0.853, 0.82, 0.51, 0.238, 0.2, 0.187, 0.11, 0.106, 0.103, 0.072, 0.053, 0.05, 0.03 greatest to least.

Uhm, sorry if I ordered some wrong on accident.

When asked a certain question in a poll, 72% of the people polled answered yes. If 56 people did not answer yes to that question, what is the total number of people who were polled?

Answers

Answer:

i think its 200

Answer:

200people

Step-by-step explanation:

28 percent=56people100=?100 multiplied by 56=5600 5600 divide by 28=200

a
Use a trigonometric equation to
determine the leg of this triangle.
10 m
[?] m
30°

Answers

Answer:

use pythogoras therom to solve it and its say to find base its formula is h square - psquare

Dita adds 2 oz of milk to an 18 oz cup of coffee that is 10% milk. What is the percentage of milk in the resulting mixture?
SHOW YOUR WORK!

Answers

Increasing the amount of milk in the coffee increases the percentage of milk in the cup of coffee.

The resulting mixture is 19% milk

Reasons:

The known quantities are;

The volume of milk Dita adds to an cup of coffee = 18 oz

The percentage of milk in the cup of coffee = 10%

Required:

The percentage milk in the resulting mixture.

Solution:

Initial amount of milk initially in the cup of coffee = 10% × 18 oz = 1.8 oz

The total amount of milk in the resulting mixture = 2 oz + 1.8 oz =  3.8 oz

Volume of the resulting mixture = 2 oz + 18 oz = 20 oz

The percentage of milk in the resulting mixture is therefore;

[tex]\displaystyle \mathrm{Percentage \ of \ milk = } \frac{3.8}{20} \times 100 = 19\%[/tex]

The resulting mixture is 19% milk.

Learn more here:

https://brainly.com/question/22599498

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Please help Ill give brainlist who ever answers I just want the answer so please help!! Zack bought 2 1/2 pounds of green grapes and 1/5 of a pound of red grapes. How muchmore did the green grapes weigh than the red grapes? Find the amount of sales tax for a board game that costs $25.00 at a 7% tax rateA.$1.75B.$2.00C.$2.50D.$5.00 Which of these statements about film and video is not accurate?a. there are two different formats for creating motion picturesb. film replaced videoc. video replaced filmd. video set all the standards that are still in use Which equation illustrates the matrix associative property of addition? Read the story Lost in the Woods:I never thought departing the trail just a little would be a big deal. My parents had cautioned me so many times about wandering off and how easy it is to get disoriented. But, I wasn't planning to go very far. I kept looking back to make sure I could retrace my steps. Looking back didn't work. All of the trees began to look the same, and nothing looked familiar. It wasn't until I finally decided to make my way back that I realized I was lost! I had gone much farther, and for much longer, than I had planned.The warmth that the sun had brought to the forest in the daytime was now quickly disappearing. My parents' warnings came racing through my head. What did they tell me to do if ever I got lost? Over and over they drilled into me, "The most important thing to remember is S.T.O.P.!" It's an acronym for sit, think, observe, and plan. I stopped, sat down on the forest floor, and pulled my knees in close. It was cooling off, and a drizzle was dampening the forest. I was lonely and scared. I knew that to survive, I had to stay warm, and I needed to drink water. Before I got any wetter, I made a very crude lean-to from the nearby branches and foliage. I managed to collect a bunch of dry leaves for a mattress. It was dark now. I took off my T-shirt and wrapped it around my legs, pulled on my hoodie, and curled up on the bed of leaves. I couldn't sleep. It was a cold, dark, and spooky night, and I was hungry.It felt like forever before the dawn filtered through the trees the next day. I knew I had to remain calm and make my whereabouts known. My family would be searching for me. I pulled out the only tool I had brought with me, my voice! I began to yell as loudly as I could,"Help! I'm over here!"Soon, very faintly at first, I could hear voices. I knew it was the search party, so I kept yelling and then listening. They kept calling out my name, and I kept replying until we were together. My dad was holding me close when he reprimanded me,"Don't you know you were late for supper? I'm disappointed that you wandered off. I'm glad you told us where you were going, and I'm proud of you for remembering the survival techniques. But, I bet you won't do that again, eh?""Nah, I think I learned my lesson," I answered sheepishly.Read the story The Rescue:Captain Henry was said to be one of the best divers in Bayfield, Wisconsin, and now he is said to be the best ship captain. However, this evening on Lake Superior was different from any other evening that Captain Henry had seen. It was a wavy and stormy night on the lake. Captain Henry was directing all of his strength to hold the steering wheel and control the ship. The waves were the size of mammoths, and the boat continued to fill with angry water. Captain Henry yelled at his fellow sailors to scoop out the water that was weighing down the ship, but the sailors could not work any faster. "We are sinking! We are sinking!" shouted the sailors.Captain Henry knew that they were in trouble. With little time to spare before the ship began to sink into Lake Superior, Captain Henry made an urgent call to his older brother. His older brother had helped him with everything from cuts to broken bones all of his life. He was a father figure to Captain Henry. Coincidently, his older brother was also the strongest, bravest, and most dedicated coastguard in Bayfield, Wisconsin. Luckily, with Lake Superior just north of Bayfield, Captain Henry's brother would hopefully be able to rescue them soon. Captain Henry began to desperately flash the emergency lights on the boat so that his brother could find him. In the distance, the sailors pointed to a boat coming their way and tooting its horn. As Captain Henry's brother arrived, he threw a rope to the sailors and pulled them to safety. Standing on the boat, wrapped in blankets, the sailors, Captain Henry, and his brother watched the ship sink. "All good things must come to an end," stated Captain Henry, sadly. "But, hey! 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