Fill in the blank

A small scoop of ice cream holds 75% as much as a large scoop of ice cream.

If the small scoops holds 36 ounces, how much does the large scoop hold? _______________ ounces.

Answer:

[tex]x = \frac{16\sqrt{3}}{3}[/tex]

[tex]y = \frac{32\sqrt 3}{3}[/tex]

Step-by-step explanation:

Calculating (x):

Here, we make use of the tan formula

[tex]tan\theta = \frac{Opp}{Adj}[/tex]

Where

[tex]\theta = 60[/tex]

[tex]Opp = 16[/tex]

[tex]Adj = x[/tex]

This gives:

[tex]tan\ 60= \frac{16}{x}[/tex]

Make x the subject

[tex]x = \frac{16}{tan\ 60}[/tex]

tan(60) in surd form is [tex]\sqrt{3}[/tex]

So:

[tex]x = \frac{16}{\sqrt{3}}[/tex]

Rationalize

[tex]x = \frac{16}{\sqrt{3}} * \frac{\sqrt{3}}{\sqrt{3}}[/tex]

[tex]x = \frac{16\sqrt{3}}{3}[/tex]

Calculating (y):

Here, we make use of the tan formula

[tex]sin\theta = \frac{Opp}{Hyp}[/tex]

Where

[tex]\theta = 60[/tex]

[tex]Opp = 16[/tex]

[tex]Hyp= y[/tex]

This gives:

[tex]sin\ 60= \frac{16}{y}[/tex]

Make y the subject

[tex]y= \frac{16}{sin\ 60}[/tex]

tan(60) in surd form is [tex]\frac{\sqrt{3}}{2}[/tex]

[tex]y= \frac{16}{\frac{\sqrt{3}}{2}}[/tex]

[tex]y = 16/\frac{\sqrt 3}{2}[/tex]

[tex]y = 16*\frac{2}{\sqrt 3}[/tex]

[tex]y = \frac{32}{\sqrt 3}[/tex]

Rationalize

[tex]y = \frac{32}{\sqrt 3}*\frac{\sqrt 3}{\sqrt 3}[/tex]

[tex]y = \frac{32\sqrt 3}{3}[/tex]

Answer:

Part A: A. 7.50 x b

Part B: $90

Step-by-step explanation:

Part A: The cost of a book is $7.50, so the equation that is going to tell you the total cost of however many books purchased is equation A.

Part B: $90. If the cost of a book is $7.50 and the teacher purchases 12 books, you do $7.50 x 12= $90. You can check the equation by adding $7.50 12 times. You will get the same result.

Answer:

you will need 3 quarters and 5 nickel  

Step-by-step explanation:

3 quarters is 75     and 5 nickels is 25 =1.00

Answer:

C: 25%

Step-by-step explanation:

1/4 = 0.25 = 25%

I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!

Answer:

C

Step-by-step explanation:

1 divided by 4 is .25, move the decimal over two points and you get 25%.

Answer:

the answer is 30

Step-by-step explanation:

they all go into 30 some how

90 is a fourth of 360, so the a fourth of the total circumference is between those two radii. This means that, if you find the circumference and divide it by 4, the resulting number is that length.

Answer:

B

Step-by-step explanation:

The measure of angle seven is 70 since 180 - 110 = 70. The measure of angle three is equal to the measure of angle seven using the Corresponding Angles Theorem

Answer: All Options also - 9 + -9 = -18

Step-by-step explanation: The Reason It Is All Of Them Is Because A Rational Number Is A Fraction Integer or Some Kind of repeating decimal And They All Are In That Category.

Answer:

3 + 0.25x

Step-by step answer:

1. add like terms inside the bracket 8+4=12

2. divide each term in bracket by 4

12/4 = 3

x/4 = 0.25x

Answer:

Step-by-step explanation:

1/4(8+4+x)=

1/4(12+x)=

3+ x/4

Answer:

Step-by-step explanation:

32 out of 40 did not show

8 out of 40 did show

When you ask "What is 8 out of 40?" you want to know what percent 8 is out of 40.

Here are step-by-step instructions showing you how we calculated 8 out of 40 as a percentage:

The first step is to divide 8 by 40 to get the answer in decimal form:

8 / 40 = 0.2000

Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:

0.2000 * 100 = 20.00%

Answer:

20 %

Step-by-step explanation:

Answer:

Slope sides are;

5.07 m and 6.39 m

Step-by-step explanation:

I've attached a drawn diagram showing a triangle representing the roof slopes and I have attached it.

From the image attached, the missing angle is θ.

From sum of angles in a triangle,

θ = 180 - (44 + 34)

θ = 102°

Now, a & b represent the slopes of the roof.

Thus, using law of sines which is that;

a/sin A = b/sin B = c/sin C, we can solve as follows;

a/sin 34 = 9/sin 102

a = (9 × sin 34)/sin 102

a = (9 × 0.5512)/0.9781

a = 5.07 m

b/sin 44 = 9/sin 102

b = (9 × sin 44)/sin 102

b = (9 × 0.6947)/0.9781

b = 6.39 m

Answer:Oy=2x+3

Step-by-step explanation:

Answer:

Margret, Jay, and Andi each have a sticker collection. Jay has 34 stickers. Margret has 3 times as many stickers as Andi. Andi has 9 more stickers than Jay. How many stickers does Margret have?

How to solve:

a = andi's stickers

j = jay's stickers (34)

m = margret's stickers

9 + j = a    or    9 + 34 = 43

so a = 43

a x 3 = m    or    43 x 3 = 129

m = 129

Margret has 129 stickers

Answer:

+20 bc 2x10= 20 so +20>20

After answering the query, we may state that Therefore, the number of equation students who like exactly one of the games is: O + 3 + 6 = 24 + 3 + 6 = 33

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

Here is a Venn diagram illustrating the information given:

    _______        _______

   |       |      |       |

   |  F    |      |  C    |

   |___|___|      |___|___|

       |              |

   |       |      |       |

B  |  FC   |      |   B   |

   |___|___|      |___|___|

       |              |

   |       |      |       |

   |  O    |      |   E   |

   |___|___|      |___|___|

 F = Football

 B = Basketball

 C = Cricket

 FC = Football and Basketball

 O = Only Football

 E = Exactly one of the games

To find the number of students who like football and cricket only, we need to subtract the number of students who like football and basketball (i.e., FC) from the number of students who like football (i.e., O) and cricket (i.e., C). Therefore, the number of students who like football and cricket only is:

O - FC - E = 24 - 6 - 5 = 13

To find the number of students who like exactly one of the games, we need to add up the number of students who like only football (i.e., O), only basketball (i.e., 3), and only cricket (i.e., 6). Therefore, the number of students who like exactly one of the games is:

O + 3 + 6 = 24 + 3 + 6 = 33

To know more about equation visit:

https://brainly.com/question/649785

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Answer:

80°

Step-by-step explanation:

70+30=100

180 - 100= 80°

Answer:

an equation is equivalent to x+8=21 is 13

Step-by-step explanation:

21-8 would equal 13 that how you find the missing variable

Answer:

2nd and obtuse triangle - should be - double check

Step-by-step explanation:

Answer:

I think the answer is C Angle-Angle-Side im not sure if im accurate but i hope it helps

Step-by-step explanation:

Answer:

16=18

Step-by-step explanation:

2x-5x+16

-3x+16

-3(x-6)

-3x+18

-3x+16+-3x+18

16=18

-they do not share the same answer

and if you where to keep going

18-16=2

0=2

-so again not equal

hope that helps

Answer:

Exact Form : X= 200/33  Decimal form: X= 6.066 Mixed number form X= 6 2/33

Step-by-step explanation:

Hopeful this help

Answer:

1.790109879E17 hahahahaha

Step-by-step explanation:

Answer:

1.7901099e+17 = 18.7901099

MWHAHAHAHA

Answer:

1.14285714286 ounces per person

Step-by-step explaination:

To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate

following this rule, 8 divided by 7 is 1.14285714286

Your assignment will probably ask you to simplify

Answer:

36=b^2 or b=the square root of 36

Step-by-step explanation:

The sides of a square are all equal in length. To find the area of a square you can multiply the two sides together. Considering that they are the same length, you can just square one of the side lengths to get your answer. To find a side length you can take the square root of the area.

Answer:

Step-by-step explanation:

b · b = 36

Answer:

i

Step-by-step explanation:

Answer:

regular parabola but shifted up 3 on the y axis

Step-by-step explanation:

Answer:

368.95

Step-by-step explanation:

⇒ Line up the decimal places to add the numbers:

  283.65

+   85.3

—————

⇒ 85.3 is the same as 85.30:

  1

  283.65

+   85.30

—————

  368.95

Answer: 368.95

Hope this helps! :)

Answer:

198.35

Step-by-step explanation:

283.65

085.3

_______________

198.35

Answer:

$3250

Step-by-step explanation:

10% of 32500 = 3250

3250 x 12 months = $39,000

Answer:

325  i just did a test and this is the answer

Step-by-step explanation:

Your monthly income is your annual income divided by 12:

= $3,250.

You are investing 10% of $3,250.

Convert 10% to decimal form:

10% = 0.10.

$3,250 × 0.10 = $325

If you add x gal of the 18% mixture, each gallon adds 0.18 gal of salt, so x gal would add 0.18x gal of salt.

The 15 gal of 2% salt mixture already contains 0.02 (15 gal) = 0.3 gal of salt.

The total volume of the new mixture would be (15 + x) gal. To achieve a 7% concentration of salt, you would need to add x gal of the 18% mixture such that

(amount of salt) / (total volume) = (0.3 + 0.18x) / (15 + x) = 0.07

Solve for x :

0.3 + 0.18x = 0.07 (15 + x)

0.3 + 0.18x = 1.05 + 0.07x

0.11x = 0.75

x = 0.75 / 0.11 ≈ 6.82 gal

“The answer is C. Divide 252/2 to get one width plus one length. Then, divide by seven parts, 3 for the width and 4 for the length. It is 18. Multiply for 3 because of 3/4 and you get 54.“