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IRINA_888 [86]
2 years ago
9

1. A submarine is 40 meters below sea level. It goes up 12 meters, then goes down 30 meters. What is the submarine's new positio

n relative to the sea level?
A - 82 meters
B - 70 meters
C. - 58
D 2 meters

A bakery uses 7.25 pounds of carrots to makes 5 cakes. LeBron wants to use the same recipe. How many pounds of carrots does LeBron need to make one carrot cake for his teammates?
Mathematics
1 answer:
Lilit [14]2 years ago
8 0

Answer:

Question Number 1: C. -58 meters

Question Number 2: 1.45 lbs

Step-by-step explanation:

<em><u>Question Number 1: </u></em>

40 - 12 = 28 meters below sea level

28 + 30 = 58 meters below sea level . So respectively its negative, so -58 would be your answer .

<em><u>Question Number 2: </u></em>

To figure out how many pounds of carrots are in each cake, divided 7.25 by 5. That equals 1.45. So one cake needs 1.45 pounds of carrots.

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Two containers hold several balls. Once a second, one of the balls is chosen at random and switched to the other container. Afte
natka813 [3]

Answer:

(a) 8 balls

(b) 4 balls

Step-by-step explanation:

Let

N \to Number of balls

For a box, the probability that there are N balls in it is:

Pr = 0.5^N

For 2 boxes, it is:

Pr = 2 * 0.5^N

From the question, we have:

\frac{80}{10000} \to Favorable outcome

To solve for N, we have:

2 * 0.5^N = \frac{80}{10000}

2 * 0.5^N = 0.008

Divide both sides by 2

0.5^N = 0.004

Take log of both sides

\log(0.5^N) = \log(0.004)

Apply law of logarithm

N\log(0.5) = \log(0.004)

Make N the subject

N = \frac{\log(0.004)}{\log(0.5)}

N =7.966

Approximate

N = 8

Solving (b): Balls in one of the two boxes.

Here, we assume that each ball will have almost the same number of balls at a given instance;

Hence, we have:

Balls \approx \frac{N}{2}

Balls \approx \frac{8}{2}

Balls \approx 4

<em>4 balls in each box</em>

6 0
3 years ago
V(t)=t2−3t what is the meaning of the quantity v(4) ?
GalinKa [24]
V(4)=4²-3×4=16-12=4 is the result of substituting t=4 in the function.
5 0
3 years ago
Please show me how you got the answer. Will give brainliest.
umka21 [38]

Answer:          410 possible points

To solve for the possible points in the course, use a proportion and cross multiply.

<h2>What is a proportion?</h2>

A proportion is two fractions that are equal to each other. For the fractions to be equal, they are proportionate. In our math problem, percentage is proportionate the the number of points.

The fractions represent information you have, and one variable will represent what you are solving for.

<h2 /><h3>Given</h3>

Your points = 361

Points to get an 'A' = your points + 8

'A' = 90% of possible points

<h3>Find the points needed for an 'A' at 90%</h3>

Points to get an 'A' = your points + 8

= 361 + 8

= 369

<h3>State variables</h3>

let <em>x</em> be the amount of possible points

<h3 /><h3>Write a proportion</h3>

We know the number of points for 90% is 369 points. Remember that 90% is the same as 90/100.

Keep the information with the same units inside the same fraction. Here, percentage is represented by the first fraction. Points is represented by the second fraction.

\displaystyle{\frac{90}{100}=\frac{369}{x}}

<h3>Solve</h3>

We can solve using cross multiplication. This is when we multiply each numerator by the denominator from the other fraction.

90x = 369*100        Simplify by multiplying.

90x = 36,900            Isolate the variable <em>x</em>.

\displaystyle{\frac{90x}{90} = \frac{36,900}{90}}           Divide both sides by 90 to cancel out 90 on the left.

\displaystyle{x = \frac{36,900}{90}}              Divide.

x = 410                    Solved for <em>x</em>, representing the possible points.

∴ The possible points in the art course is 410.

Learn more about finding a missing number given percentage here: brainly.com/question/26535441

4 0
1 year ago
Evaluate 2x-4y for x = 2 and y = 4.
tamaranim1 [39]
<em>Evaluate 2x-4y for x=2 and y=4.</em>
Replace x with 2 and y with 4.
2(2)-4(4)
Simplify.
4-16
-12
3 0
2 years ago
Read 2 more answers
Determine the slope-intercept form of the equation of the line parallel to y = x + 11 that passes through the point (–6, 2). y =
Vika [28.1K]

Answer:

y = x+12

Step-by-step explanation:

Parallel => <u><em>This means it has the same slope as this one.</em></u>

Slope = m = 1

Now,

Point = (x,y) = (-6,2)

So, x = -6, y = 2

<u><em>Putting this in slope intercept form to get b</em></u>

y = mx+b

=> 2 = (1)(-6) + b

=> b = 2+6

=> b = 8

<u><em>Now putting m and b in the slope-intercept form to get the required equation:</em></u>

=> y = mx+b

=> y = x+12

6 0
2 years ago
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