The sum of two consecutive even integers is 226. What is the larger integer?

Answers

Answer 1

Answer: 114. This would make 112 the smaller one114+112-------226

Answer 2

Answer: 114

BECAUSE...
1st integer=n
n+1
n+(n+2)=226
2n+2=226
n=112
larger would be n+2=114

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What is –3 2/3 · (–2 1/4 )?

Answers

$-3(2)/(3)\cdot\left(-2\frac{1}4{}\right)=\n--------------------\nnegative\ number\ multiply\ by\ negative\ number\ is\ a\ positive\ number\n--------------------\n-3(2)/(3)\cdot\left(-2\frac{1}4{}\right)=3(2)/(3)\cdot2(1)/(4)=\n------------------------------\n$

if you want to multiply mixed numbers you need to turn them into improper fractions

$3(2)/(3)\cdot2(1)/(4)=(3\cdot3+2)/(3)\cdot(2\cdot4+1)/(4)=(9+2)/(3)\cdot(8+1)/(4)=(11)/(3)\cdot(9)/(4)=(11)/(1)\cdot(3)/(4)=(11\cdot3)/(1\cdot4)\n\center\boxed{=(33)/(4)=8(1)/(4)}$

Zara ate 75 almonds this week, or 150% as many as she ate last week. How many almonds did Zara eat last week?

Answers

Zara ate 50 almonds last week which is 150% as many as she ate last week.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Zara ate 75 almonds this week, or 150% as many as she ate last week.

Let's assume that she eat x almonds last week

As per the given question, we can write the percentage would be as

⇒ 150% of x = 75

⇒ (150/100) x = 75

Apply the cross-multiplication operation,

⇒ 150x = 7500

Divided by 150 into both sides of the above equation,

⇒ x = 7500/150

⇒ x = 50

Therefore, she eat 50 almonds last week.

Learn more about the percentages here:

brainly.com/question/24159063

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Suppose that X and Y have the following joint probability function: f(x,y) = { 3x, | 32, if 0 ≤ y ≤1 0, otherwise. a) Find the variance of the random variables X. b) Find the conditional PDF of Y given X.

Answers

Answer:

see below

Step-by-step explanation:

a) The variance of random variable X is

−

b) The conditional PDF of Y given X is:

For

≤

�

≤

0≤y≤1,

�

(

�

∣

�

)

f(y∣x)=1.

For

�

y outside the range [0, 1],

�

(

�

∣

�

)

f(y∣x)=0.

Solve the quadratic function by completing the square. What are the missing pieces in the steps?–32 = 2(x2 + 10x)
–32 + _____ = 2(x2 + 10x + 25)
18 = 2(x + 5)2
9 = (x + 5)2
± _____ = x + 5
x = –2 or x = ____

_____=missing pieces

Answers

If you would like to solve the quadratic function by completing the square, you can do this using the following steps:

- 32 = 2(x^2 + 10x)
- 32 + 50 = 2(x^2 + 10x + 25)
18 = 2(x + 5)^2
9 = (x + 5)^2
± sqrt(9) = x + 5
± 3 = x + 5
x = - 2 or x = - 8

The steps used in completing the square of the given quadratic equation have been detailed below.

How to complete the square of quadratic Equations?

The first step given is;

- 32 = 2(x² + 10x)

The next step is to add a square of half the coefficient of x. Which in this case is 50 to both sides.

Second step is;

-32 + 50 = 2(x² + 10x + 25)

Third step is to further simplify the left and favtorize the right to get;

18 = 2(x + 5)²

9 = (x + 5)²

Fourth step is to take square root of both sides to get;

±√9 = x + 5

±3 = x + 5

Thus;

x = - 2 or x = - 8

Read more about completing the square at; brainly.com/question/10449635

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write the equation of the line, in slope- intercept form, that passes through (0,4) and has a slope of -1/2

Answers

y=-1/2x+4 since the slope is -1/2 and the y-int is 4.

Elmer has a collection of 300 fossils. Of these, 21 percent are fossilized snail shells.

Answers

In order to figure out the number of fossilized snail shell, multiply 21% by 300. first change 21% into a decimal, in order to do that, move the percent symbol two spaces to the left, and replace the "%" symbol to a decimal. 0.21 X 300= 63
so 21% of 300 is 63

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