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!! :)
help
10 points
brainleist
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
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
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?
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
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
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?
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!!!
Answer: B
Step-by-step explanation:B because -3 + 5 is 2 and the line goes from -3 to 2
What is the area of this 1/4 circle?
[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
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?
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
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 poundsSusan 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?
I don’t get this question
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??
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?
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
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
[?] [
[ ] [
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!!!!!
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
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
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
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.
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
9 - 3 / 1/3 + 1 =
In word form-
nine minus three divided by one third plus one
Please help
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:
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.
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
#1
2x²+x-6ac=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-12ac=-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.
Select all the correct answers.
Which pay rates are common ways employers pay employees?
commission
daily pay
hourly pay
quarterly pay
salary
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.