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V125BC [204]
3 years ago
15

An integer is three more than another integer. Twice the larger integer is two less

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
3 0

Answer:

The integers are 4 and 7 or -2 and 1.

Step-by-step explanation:

You can make a system of equations with the description of the two integers.

1. x = y + 3

2. 2x + 2 = y^2

The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.

1. x = y + 3

2. 2(y + 3) + 2 = y^2

Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.

2y + 6 + 2 = y^2

y^2 - 2y - 8 = 0

You can factor this equation to solve for y.

(y - 4) (y + 2) = 0

y = 4, y = -2

Now we can substitute the value of y for x in the first equation.

x = 7, x = 1

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Anyone know the answers to 1, 2, 3, 4, 5
muminat

Answer:

1. C. 1/4(4) + 1/4(9) (A, 1/4(13), is essentially C simplified (without figuring it out).)

2. G - -4

3. A - -4(-5) + (-4)x

4. J - 1/6x + 1/6y

5. A - 60(10 + 2)

Step-by-step explanation:

1.

1/4(4 + 9) <em>We can distribute 1/4 into 4 and 9.</em>

1/4(4) + 1/4(9) <em>Now while we have our answer, this can be further simplified.</em>

1/4(13) <em>What's on the left is the simplified 2-term equation.</em>

<em>So really, either C or A will be the answer. But due to the format of #3, I put C as my answer. B & D were out because there wasn't any extra multiplication.</em>

2.

-2/5(15 - 5) <em>Subtract 5 from 15 to get 10.</em>

-2/5(10) <em>Multiply -2/5 by 10 to get -20/5</em>

-20/5 <em>Divide -20 by 5 to get -4.</em>

-4, so G is the answer. <em>This was negative, so H & J were out to begin with. F was out as soon as I solved the problem.</em>

3.

-4(-5 + x) <em>Distribute -4 into -5 + x.</em>

-4(-5) + (-4)x, so A is the answer. <em>Don't get tricked! B may look right, but there should be a negative sign in front of the 5, hence why it's incorrect.</em>

4.

1/6(x + y) <em>Distribute 1/6 into x + y.</em>

1/6x + 1/6y, so J is the answer. <em>F & G are already out because you don't multiply the variables by each other. H is also out because there wasn't any multiplication involved other than x + y being multiplied by 1/6.</em>

5.

Only 60(10 + 2) would have worked, so A is the answer. The tickets would have cost 720 dollars (600 + 120). <em>B would have equated to 624 (24 + 600), C would have been 132 (6 * 22), and D would have been 600. (10 * 60).</em>

6 0
3 years ago
*PLEASE ANSWER!!, I DONT GET IT*
Phoenix [80]

Answer:

b

Step-by-step explanation:

9 x 37 = 333

6 0
2 years ago
Read 2 more answers
Suppose that out of 20% of all packages from Amazon are delivered by UPS. 15% of the packages that are delivered by UPS weighs 2
Gelneren [198K]

Answer:

0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: It weighs 2 lbs or more

Event B: Delivered by UPS

15% of the packages that are delivered by UPS weighs 2 lbs or more.

This means that P(A \cap B) = 0.15

More than 2 lbs:

15% of 20%(UPS)

93% of 80%(Not delivered by UPS). So

P(A) = 0.15*0.2 + 0.93*0.8 = 0.774

a. What is the probability that a package is delivered by UPS if it weighs 2 lbs or more

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.774} = 0.1938

0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more

3 0
3 years ago
How would you solve 85% of 40
kykrilka [37]
85% of 40. 

85/100 = .85

.85 * 40 = 34

Answer: 34
5 0
3 years ago
Read 2 more answers
13 gallon of water are used to completely fill 3 fish tanks.if each tank holds the same amount of water how many gallon will eac
Sergeu [11.5K]

Each tank holds 4.33 gallons of water.

Step-by-step explanation:

Given,

Gallons of water used to fill tanks = 13 gallons

Number of fish tanks filled = 3 fish tanks

To calculate the amount of water in one tank, we will divide gallons of water used to fill tanks by number of fish tanks filled.

Water in one tank = \frac{13}{3}

Water in one tank = 4.33 gallons

Each tank holds 4.33 gallons of water.

Keywords: unit rate, division

Learn more about division at:

  • brainly.com/question/2131336
  • brainly.com/question/2150928

#LearnwithBrainly

4 0
3 years ago
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