During a basketball game a player makes 12 of 18 free throws attempted. Write the ratio as a fraction reduced to lowest terms

Answers

Answer 1

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

12 out of 18 free throws is also equal to the fraction [tex]\frac{12}{18}[/tex]. To simplify this fraction, we have to find out the greatest common factor (GCF) of 12 and 18. It turns out that the GCF of 12 and 18 is 6. So, we have to divide the fraction by 6 to reduce it to its lowest terms.

[tex]\frac{12}{18} /\frac{6}{6} =\frac{2}{3}[/tex]

I hope this helps! Have a lovely day!! :)


Related Questions

help
10 points
brainleist

Answers

Answer:79 degrees i believe

Step-by-step explanation:

Answer:

79 degrees.

Step-by-step explanation:

There is many ways you can take this problem.  The easiest is alternate exterior.  Since the 79 degree angle and angle B is outside and on opposite sides, they are the same value.

if the sum of the two consecutive odd number is 20 find the numbers
a​

Answers

Answer:

9 and 11

Step-by-step explanation:

let two numbers be X and X+2

so

x+X+2=20

solve for X

x=9

x=20

Answer:

11 + 9 = 20

Step-by-step explanation:

Consecutive odd nymbers are odd numbers that follow each other.

think which two consecutive odd number when added will give 20.

odd numbers = 1 3 5 7 9 11 13 15 17 19

9 follows 11 and when added will equal 20

Help please. It’s urgent. Right answer gets brainliest

Answers

Answer: Please check the image below.

If you divide any number by itself, what is the result? How can you apply this result to the expression in part D?

Answers

Answer:

1

Step-by-step explanation:

Any number divided by itself is always 1

please help i have an assignment due TODAY i need to get this done

rules:
NO LINKS! im not getting myself a virus

Answers

Answer:

t = 40

Step-by-step explanation:

The sum of the two angles is 70

70 = t+30

70-30 =t+30-30

40 =t

Answer:

40

Step-by-step explanation:

t = 70 - 30

t = 40

hope it helps

Simplify a^2-3a2 a^3-8a^2+12a to lowest terms

Answers

Answer:

[tex]\frac{a-3}{(a-2)(a-6)}[/tex]

Step-by-step explanation:

[tex]a^{2}-3a[/tex] has the common multiple of a. If you factor it out, you get [tex]a(a-3)[/tex].

[tex]a^3-8a^2+12a[/tex] also has a common multiple of a. Once factored, you get [tex]a(a^2-8a+12)[/tex]. This equation can be further factored to get [tex](a-2)(a-6)[/tex].

Put these two expressions over one another and you get  [tex]\frac{a-3}{(a-2)(a-6)}[/tex].

Interval 0 to 10.5 f(x) dx = 9, interval 0 to 3.5 f(x) dx = 2, and interval 7 to 10.5 f(x) dx = 3, how do I find interval 3.5 to 7 (5f(x)-3) dx?

Answers

a. The value of the definite integral [tex]\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]

b.  The value of the definite integral [tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]

To answer the question, we need to know what definite integrals are.

What are definite integrals?

These are integrals which are evaluated between two values of the variable.

a. Integral of [tex]\int\limits^7_{3.5} {f(x)} \, dx[/tex]

[tex]\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]

Given that [tex]\int\limits^{10.5}_0 {f(x)} \, dx = 9, \int\limits^{3.5}_0 {f(x)} \, dx = 7 and \int\limits^{10.5}_7 {f(x)} \, dx = 3[/tex]

We require  [tex]\int\limits^7_{3.5} {f(x)} \, dx[/tex]

So,  [tex]\int\limits^{10.5}_0 {f(x)} \, dx = \int\limits^{3.5}_0 {f(x)} \, dx + \int\limits^7_{3.5} {f(x)} \, dx + \int\limits^{10.5}_7 {f(x)} \,dx[/tex]

So,  [tex]\int\limits^7_{3.5} {f(x)} \, dx = \int\limits^{10.5}_0 {f(x)} \, dx - \int\limits^{3.5}_0 {f(x)} \, dx - \int\limits^{10.5}_7 {f(x)} \,dx[/tex]

Substituting the values of the variables into the equation, we have

So,  [tex]\int\limits^7_{3.5} {f(x)} \, dx = \int\limits^{10.5}_0 {f(x)} \, dx - \int\limits^{3.5}_0 {f(x)} \, dx - \int\limits^{10.5}_7 {f(x)} \,dx[/tex]

 [tex]\int\limits^7_{3.5} {f(x)} \, dx = 9 - 7 - 3\\\int\limits^7_{3.5} {f(x)} \, dx = 2 - 3\\\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]

So, [tex]\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]

b. Integral of [tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx[/tex]

[tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]

[tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = \int\limits^7_{3.5} 5{f(x)}\, dx - \int\limits^7_{3.5} 3\, dx\\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = 5\int\limits^7_{3.5} {f(x)}\, dx - 3(7.5 - 3)\\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx= 5 X (-1 ) - 3 X 4.5 \\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx= -5 - 13.5\\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]

So,  [tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]

Learn more about definite integrals here:

https://brainly.com/question/17074932

Pleas answer this asap!!!

Answers

Answer: B

Step-by-step explanation:B because -3 + 5 is 2 and the line goes from -3 to 2

The answer is B
Because -3+5=2

What is the area of this 1/4 circle?

Answers

[tex] \frac{1}{4} \times \pi \times ({radius})^{2} = \\ [/tex]

[tex] \frac{1}{4} \times \pi \times {12}^{2} = \\ [/tex]

[tex] \frac{1}{4} \times \pi \times 144 = \\ [/tex]

[tex] \frac{144}{4} \pi = \\ [/tex]

[tex]36\pi[/tex]

Can someone help me please

Answers

Answer:

76 chess sets

Step-by-step explanation:
Since they bought 16 cases and each contains 18 sets, let's multiply them

16 x 18 = 288
There were already 16 sets before that so lets add those as well

288 + 16 = 304
Now since there are 4 teachers we divide this among them

304/4 = 76

76 is the answer.

This year, the sum of Mr Bellini’s age and his son’s age is 28 years. 4years ago, Mr Bellini was 5 times as old as his son
(A) How old is his son this year?
(B) How old is Mr Bellini this year?

Answers

Answer:

Let x = son's age

Let 38-x = Mr. Bellini's age (since the sum of their ages must be equal to 38)

Set up the equation using the second statement:

(38 - x) - 4 = 5(x - 4)

Solving,

34 - x = 5x - 20

34 + 20 = 6x

54 = 6x

x = 9 years old (son's age)

38-x = 29 years old (Bellini's age)

Help me please math

Answers

Started with $70

Coffee at $8.74/lb

Ended with $35.04

First, subtract $35.04 from $70. Result: 34.96Second, divide $35.04 by $8.74 to see how many pounds she bought. Result: 4 pounds

Susan bought 4 pounds of coffee.

:)

A cereal box is shaped like a rectangular prism. The box is 20 cm long by 5 cm wide by 30 cm high. What is the surface area of the cereal box?

Answers

You have to find the area of each separate face of the box and then add them all up.
The front and back would be ; (length x height) x 2
So;
(20 x 30) x 2
= 1200 cm^2

Then calculate the area of the top and bottom of the box;
(Width x Length)
(5 x 20) x 2
= (100) x 2
= 200 cm ^2

And finally the sides of the box:
(Width x Height) x 2
(5 x 30) x 2
= 300 cm^2

Now add all of the individual areas up to find the total surface area of the cereal box:
1200 + 200 + 30
= 1700cm^2 in total

I don’t get this question

Answers

Answer:

The equation of the line is y = 4.

Step-by-step explanation:

It looks like they are asking for the equation of the bold line.

does anyone know what the answer for this is??

Answers

Answer:

Part 1) 150

Part 2) 6

Step-by-step explanation:

Part 1) All you have to do is multiply 30 by 5, since 30 is only 20% of the number and you have to get to 100%

30×5 = 150

Part 2) There are multiple ways of doing this, but the way I did it is 30 divided by 100 so you have the number of each percentage. Then you multiply that number by 20 since you are trying to get 20%

30÷100 = 0.3

0.3×20 = 6

Please give brainliest if I helped!

Can someone help me please?

Answers

Answer:

3/10

Step-by-step explanation:

3 of the vertical bars are highlighted out of the 10 total bars. 3/10 is equivalent to 0.3.

is 5.029 less than 5.128

Answers

yes

Step-by-step explanation:

After the point the first number of the first number is 0 while the second one is 1

Reflect the given triangle over
the line y=x.
3
-3
6
3
3
3
3
B!
-3
3
[?] [
[ ] [

Answers

Answer:

3 3

6 3

Step-by-step explanation:

for reflecting over line y=x, you just change the places of y and x.

(6,3) becomes (3,6).

PLEASE ANSWER 30 POINTS!!!!!

Answers

Answer:

E. Point E

Step-by-step explanation:

First, you would move along the x-axis horizontally for 4½ units. Then, you move along the y-axis vertically for 5 units and land on point E.

I hope this helps.

133.875 as a fraction

Answers

Answer:

0.875 is just 7/8, so 133.875 is 133 7/8 or (133*8+7)/8 = 1071/8

-4y + 14 = 22

-6x + 5 = -1

Answers

Answer:

x = 1, y = -2

Step-by-step explanation:

The table shows the prices of two types of juice. How much does
each type of juice cost per gallon? There are 4 quarts in a gallon.
Juice Price Volume
Orange $3.25 0.5 gallon
Peach $4.50 1.5 quarts

Answers

Answer:

Orange juice is $6.50 per gallon and Peach juice is $12.00 per gallon

Step-by-step explanation:

Step 1:  Determine the price of the Orange juice

$3.25 per 0.5 gallon

($3.25 * 2) per (0.5 * 2) gallon

($6.50) per (1) gallon

Step 2:  Determine the price of the Peach juice

$4.50 per 1.5 quarts

$4.50 per 0.375 gallon

($4.50 * 2.667) per (0.375 * 2.667) gallon

($12.00) per (1) gallon

Answer: Orange juice is $6.50 per gallon and Peach juice is $12.00 per gallon

Cam's tent (shown below) is a triangular prism.
2 m
2 m
1.7 m
3 m
AK
*
1 m 1 m
Find the surface area, including the floor, of his tent.

Answers

Answer:

The surface area of the tent is 21.4 m²

Step-by-step explanation:

To find the surface area of a prism you must calculate:

1. The perimeter of the base

2. The area of the base

3. The height of the prism

We have a triangular prism:

Its base is an equilateral triangle of side length 2 m and height 1.7 m

The height of the prism is 3 m

∵ The surface are of the prism is:

  S.A = perimeter of the base × height + 2 × area of the base

∵ The perimeter of the equilateral triangle = 3 × length of a side

∵ The length of the side = 2 m

∴ The perimeter of the base = 3 × 2 = 6 m

∵ The area of the triangle =  × base × height

∵ The length of the base of the triangle = 2 m

∵ The height of the triangle = 1.7 m

∴ The area of the base =  × 2 × 1.7 = 1.7 m²

∵ S.A = perimeter of the base × height + 2 × area of the base

∵ The perimeter of the base = 6 m

∵ The area of the base = 1.7 m²

∵ The height of the prism = 3 m

∴ S.A = 6 × 3 + 2 × 1.7

∴ S.A = 18 + 3.4

∴ S.A = 21.4 m²

The surface area of the tent is 21.4 m²

Explain in a complete sentence on how you would find the area of a triangle when given the base and height

Answers

You first multiply base x height. Next, since it’s a triangle, you divide by 2 because a triangle is half of a square.


Your equation to solve is:

b(h)
——
2

9 - 3 / 1/3 + 1 =
In word form-
nine minus three divided by one third plus one
Please help

Answers

Answer: 1

Step-by-step explanation:

9 - 3 ÷ 1/3 + 1 = 9 - 3 × 3/1 + 1

= 9 - 9 + 1 = 10 - 9 = 1.

' . , ' ' . , "-" & "+" . ' , ' .

. ^-^

The area of a square is 100. The length of its diagonal is approximately:

Answers

Answer:

10[tex]\sqrt{2\\} \\[/tex] or 14.14 appromiximately

Step-by-step explanation:

Area of square = 100

So length on side = 10 because all sides of square equal.

Length of Diagonal = Side x [tex]\sqrt{2}[/tex]

So the length of diagonal is 14.14 approximately

Ilya builds a slide that is 2.9 meters long. It is 1.5 meters above the ground. He wants to determine the distance from the bottom of the slide to the base of the ladder leading up to the slide. Which diagram represents this situation?
A triangle with side length 1.5 meters and hypotenuse 2.9 meters.
A triangle with side length 2.9 meters and hypotenuse 1.5 meters.
A triangle with side length 2.9 meters and hypotenuse 2.9 meters.
A triangle with side length 1.5 meters and hypotenuse 2.9 meters.

Answers

Answer:

the first one

Step-by-step explanation:

Answer:Option A is correct. (light blue color in the triangle choices)

can i have some quick help? this is in trinomial method

Answers

#1

2x²+x-6

ac=6(-2)=-12

2x²+4x-3x-62x(x+2)-3(x+2)(2x-3)(x+2)

#2

10a²+3a-110a²+5a-2a-15a(a+2)-1(a+2)(5a-1)(a+2)

#3

2c²+5c-12

ac=-24

2c²+8c-3c-122c(c+4)-3(c+4)(2c-3)(c+4)

Answer:

(a)  [tex](2x-3)(x+2)[/tex]

(b)  [tex](5a-1)(2a+1)[/tex]

(c)  [tex](2c-3)(c+4)[/tex]

Step-by-step explanation:

To factor a quadratic in the form [tex]ax^2+bx+c[/tex]

Find 2 two numbers that multiply to ac and sum to b.Rewrite b as the sum of these 2 numbers.Factorize the first two terms and the last two terms separately, then factor out the common term.

Part (a)

Given expression:  [tex]2x^2+x-6[/tex]

[tex]\implies ac=2 \cdot -6=-12[/tex]

Factors of -12 that sum to 1:  4 and -3

[tex]\implies 2x^2+4x-3x-6[/tex]

Factor first two terms and last two terms separately:

[tex]\implies 2x(x+2)-3(x+2)[/tex]

Factor out common term [tex](x+2)[/tex]:

[tex]\implies (2x-3)(x+2)[/tex]

Part (b)

Given expression: [tex]10a^2+3a-1[/tex]

[tex]\implies ac=10 \cdot -1=-10[/tex]

Factors of -10 that sum to 3:  5 and -2

[tex]\implies 10a^2+5a-2a-1[/tex]

Factor first two terms and last two terms separately:

[tex]\implies 5a(2a+1)-1(2a+1)[/tex]

Factor out common term [tex](2a+1)[/tex]:

[tex]\implies (5a-1)(2a+1)[/tex]

Part (c)

Given expression: [tex]2c^2+5c-12[/tex]

[tex]\implies ac=2 \cdot -12=-24[/tex]

Factors of -24 that sum to 5: 8 and -3

[tex]\implies 2c^2+8c-3c-12[/tex]

Factor first two terms and last two terms separately:

[tex]\implies 2c(c+4)-3(c+4)[/tex]

Factor out common term [tex](c+4)[/tex]:

[tex]\implies (2c-3)(c+4)[/tex]

The number of boys in a school is 120. If the ratio of boys to girls is 2:3, find the total number of students in the school.

Answers

Answer:
180
Step-by-step explanation:
Take 2/3 cross multiply 120/x
Giving you 360/2x.
Solve for X by dividing 360 by 2

Select all the correct answers.

Which pay rates are common ways employers pay employees?

commission
daily pay
hourly pay
quarterly pay
salary

Answers

Answer:

The employers pay their employees based on hourly rates, commission and salary.

Step-by-step explanation:

The employees get their pay based on hourly rates that can range from a minimum hourly rate of say $12 per hour to any maximum figure like $40 per hour.

The final salary is based on the numbers of hours worked multiplied by the hourly rate.

Secondly, the pays are also commission based. That is your base salary plus the commission.

The salary is typical in management positions. These are not hourly based but a lump sum pay.

So, the correct answers are : commission, hourly pay and salary.

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