Two numbers are in ratio of 2 to3 if the smaller number is 18 the larger number is what

Answers

Answer 1

Answer: If you would like to know the value of the larger number, you can calculate this using the following steps:

2 ... 3
18 ... x = ?

2 * x = 3 * 18 /2
x = 3 * 18 / 2
x = 27

The correct result would be 27.

Answer 2

Answer: 27

2:3
x 9 =
18:27

I hope this helped

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Carissa and Louann both have savings accounts. Carissa has $250 in her account and deposits $80 per month. Louann has $1230 in her account and withdraws $60 per month.After how many months will they have equal amounts of money in their accounts? What amount of money will each have when it is the same amount?

It will take ____ months. Then, they will both have $ ____
in their accounts.

Answers

carissa value after x months=current+amount deposited
louan value after x months=current-amount taken out

carissa depositied=amount per month times x months=80x
louan take out=amount per month tiems x months=60x

when wil amount be equal
se equal

cariss=lousa
250+80x=1230-60x
add 60x both sides
250+140x=1230
minus 250 both sides
140x=980
divide both sides by 140
x=7

find how much that is
250+80(7)=250+560=810

7 months both have $810

To aid in sea navigation, Little Gull Island Lighthouse shines a light from a height of 91 feet above sea level with an unknown angle of depression. If the beam of light shines on the sea surface at a point that is 865 feet away from the base of the lighthouse, what is the angle of depression?

Answers

Answer:

$\approx 6^\circ$

Step-by-step explanation:

Given that:

Little Gull Island Lighthouse shines a light from a height of 91 feet above the sea level.

The angle of depression is unknown.

Distance of the point at sea surface from the base of lighthouse is 865 ft.

This situation can be modeled or can be represented as the figure attached in the answer area.

The situation can be represented by a right angled $\triangle ABC$ in which we are given the base and the height of the triangle.

And we have to find the value of $\angle BAD \ or \ \angle C$ (Because they are the internal vertically opposite angles).

Using tangent ratio:

$tan\theta = (Perpendicular)/(Base)$

$tanC = (AC)/(BC)\n\Rightarrow tanC = (91)/(865)\n\Rightarrow tanC = 0.105\n\Rightarrow \angle C \approx 6^\circ$

Therefore, the angle of depression is: $\approx 6^\circ$

Hello! Can someone please help me with this? Thank you! :)

(screenshot included)

Answers

Answer:

32÷35=0.9142857142857143

Answer:

decimal equivalent is .91429 (simplified)

he likely made the mistake of dividing 35 by 32 instead of the other way around

Step-by-step explanation:

to find the answer you divide 32 by 35 instead of dividing 35 by 32

Renee is playing a game with marbles and a spinner. The spinner has four sections: orange, black, purple, and white. The marbles are kept in a bag and come in three colors: orange, black, and purple. Renee first spins the spinner and then picks a marble from the bag without looking. What is the probability that the color of the marble matches the color on which the spinner lands? brainly

Answers

Answer:

$(1)/(16)$ Is the chance of the colours matching.

Step-by-step explanation:

The possibility of the spinner landing on an orange side is $(1)/(4)$

and the possibility of the marble being orange is $(1)/(4)$ in this case you have to remember, in the fraction, you have 4 possibilities and 1 desirable outcome, when you have two dependant possibilities you have to multiply them:

$(1)/(4) * (1)/(4)$

And the result of that multipliction is $(1)/(16)$ which is the probability of the marble and the spiner colours matching.

Answer:

Step-by-step explanation:

1/4

In yesterday's basketball game, Raul made 77.7% of his shots.What fraction of his shots did he make?
1. How would you write 77.7% as a decimal? Set that decimal equal
to x. What digit or digits repeat?
2. Multiply each side of the equation by a power of 10 to get the
repeating digit(s) to the left of the decimal point. Since you only
need to move one place, multiply each side by 10.
3. Subtract the equation in Exercise 1 from the equation in Exercise 2.
Then simplify.
4. Divide each side of the equation by 9 to solve for x. What fraction is
equal to x? Show your work.
5. What fraction of Raul's shots did he make?
On the Back!
6. This season, Jenny's lacrosse team had a winning percentage of
0.83. What fraction of their games did Jenny's team win?

Answers

Answer:

FEEL FREE TO CORRECT ME IF I'M WRONG! (in the comments)

1. 0.777, the thousandths place value repeats

2. 7.77

3. x = 0.60 (0.0603729)

6. 83%

-did my best-

Step-by-step explanation:

Final answer:

Raul made 7/9 of his shots in yesterday's basketball game and Jenny's lacrosse team won 83/100 of their games this season.

Explanation:

To answer the question about what fraction of shots Raul made, we need to convert the percentage into a decimal and then a fraction. To first convert 77.7% into a decimal, we move the decimal point two places to the left, getting 0.777.

Now, to put this into fraction form, knowing that the decimal 0.777 is repeating, we let x = 0.777. Multiply each side by 10 to get 10x = 7.777. Subtracting the first equation from this gives us 9x = 7, hence x = 7/9. So, the fraction of shots Raul made is 7/9.

For Jenny's lacrosse team, the winning percentage is 0.83. It’s a non-repeating decimal so it's straightforward to convert this into a fraction. To convert the decimal to a fraction, we consider the numbers after the decimal point. Since there are two digits (.83), we write it as 83/100. But, it can be simplified by dividing both the numerator and the denominator by their greatest common factor (GCF), which is 1 in this case. So, the fraction of games Jenny's team won is 83/100.

Learn more about Converting percentages to fractions:

brainly.com/question/30775075

#SPJ2

a soccer goal is in the shape of a triangular prism. the base and height of the right triangles at the sides of the goal measure 4 feet and 8 feet and the opening along the front is 24 feet long. how many cubic feet of space is 24 feet long. how many cubic feet of space is contained within this goal?

Answers

The volume of a triangular prism with a known base and height is the same as half the volume of a rectangular prism with the same base and height (since a right triangle is simply a rectangle sliced diagonally).

So, we will first solve this as if it were a rectangular prism, finding volume accordingly.

4 * 8 = 32

32 * 24 = 768

Now, we know what the volume of a rectangular prism of those dimensions would be, so all we have to do is divide by 2 to find the volume of the triangular prism that is the soccer goal.

768 / 2 = 384

The volume of the soccer goal is 384 cubic feet.
Hope that helped! =)

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