Answer:
1/50
Step-by-step explanation:
Using the greatest common factor for the terms, how can you write 56 + 32 as a product?
A) 4(14 + 8)
B) 7(4 + 8)
C) 8(7 + 4)
D) 14(4 + 2)
PLZ HELP
Answer:
8(7+4) (C.)
Step-by-step explanation:
First find the greatest number that can go into 56 and 32:
8!
Then we can see if C. works because it is the only one with an 8 out in front:
[tex]8*7=56[/tex]
and...
[tex]8*4=32[/tex]
So C. is the right answer!
Which of the following inequalities matches the graph?
Answer:
x>-7
Step-by-step explanation:
Combine the like terms to create an equivalent expression:
-n+(-4)-(-4n)+6
Answer:
3n+2
Step-by-step explanation:
-n+(-4)-(-4n)+6
Subtracting a negative is like adding
-n+(-4)+(4n)+6
Combine like terms
-n +4n -4 +6
3n +2
3n+2
Simplify to create an equivalent expression.
Answer:
-8p-80
Step-by-step explanation:
The equivalent expression of the expression 4 (- 15 - 3p) - 4 (- p + 5) is (- 8p - 80). Hence option 1 is true.
Used the concept of the equation that states,
Mathematical expression is defined as the collection of numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that,
The equation is,
4 (- 15 - 3p) - 4 (- p + 5)
Now simplify the expression by combining like terms and applying distributive property,
4 (- 15 - 3p) - 4 (- p + 5)
Apply distributive property,
- 60 - 12p + 4p - 20
- 8p - 80
Therefore, option 1 is true.
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Need help on this, someone help me.
Answer:
I believe it is B
Step-by-step explanation:
You go to the snack bar to buy a bagel and a drink for lunch you choose from a plain bagel a blueberry bagel or a raisin bagel the choices for a drink include water or a sports drink how many different lunches could be made with these choices
Answer:
6
Step-by-step explanation:
So you're choosing a bagel and a drink.
There are three different types of bagels and two different types of drinks
You just simply multiply three by two, and that is the number of combinations :)
What is the volume of a square pyramid if the perimeter of the base is 44 in and the height is 19 in.? Round to the nearest tenth.
Answer:
2299 in^2
Step-by-step explanation:
The formula for the volume of a square pyramid of base A and height h is
V = (A)(h).
Here, the perimeter of the base is 44 inches, so that the length of one side must be (44 in) / 4, or 11 in. The area of a square of side s is A = s^2, so we have:
Here, V = (11 in)^2 * (19 in) = 2299 in^2
In the diagram below, OA I OC. Find the value of x. Show your work.
The point where two lines meet is known as an angle. The value of x if OA is perpendicular to OC is 30 degrees
What is line geometry?The point where two lines meet is known as an angle.. From the given diagram;
(180 - 4x) + x = 90
Simplify the result
180 - 3x = 90
Subtract 180 from both sides
-3x = 90 - 180
-3x = -90
Divide both sides by -30
x = 90/3
x =30degrees
Hence the value of x if OA is perpendicular to OC is 30 degrees
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A sorority has 33 members, 23 of whom are full members and 10 are pledges. Two persons are selected at random from the membership list of the sorority. Find the requested probabilities. (Enter the probabilities as fractions.) (a) The first person selected is a pledge. (b) The first person selected is not a pledge. (c) The second person selected is a pledge if the first person selected was also a pledge. (d) The second person selected was a full member if the first person selected was a pledge. (e) The second person selected is a pledge if the first person selected was a full member. (f) The second person selected is a full member if the first person selected was also a full member. (g) The second person selected was a pledge.
The probabilities for various selections of pledges and full members from a sorority are calculated based on the composition of the group and the number of members remaining after each selection.
Explanation:When selecting two persons at random from a sorority with 33 members consisting of 23 full members and 10 pledges, the probabilities requested can be calculated as follows:
(a) The probability that the first person selected is a pledge is 10/33.(b) The probability that the first person selected is not a pledge is 23/33.(c) The probability that the second person selected is a pledge given that the first selected was also a pledge is 9/32 (since one pledge is already selected).(d) The probability that the second person selected is a full member given that the first person selected was a pledge is 23/32.(e) The probability that the second person selected is a pledge given that the first person selected was a full member is 10/32 or 5/16.(f) The probability that the second person selected is a full member given that the first person selected was also a full member is 22/32 or 11/16.(g) The probability that the second person selected is a pledge without any condition on the first selection needs additional information for a precise calculation.What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x - 2)?
ОООО
A:3B:4C:5D:9
Answer:
x=4
Step-by-step explanation:
1.5(x + 4) - 3 = 4.5(x - 2)
Distribute
1.5x +6 -3 = 4.5x -9
Combine like terms
1.5x +3 = 4.5x -9
Subtract 1.5x from each side
1.5x -1.5x +3 = 4.5x -1.5x -9
3 = 3x-9
Add 9 to each side
3+9 = 3x-9+9
12 = 3x
Divide each side by 3
12/3 =3x/3
4=x
Answer:
B. 4
Step-by-step explanation:
Remember the acronym: PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction).
P: The expressions in the parentheses are not solvable as they are.
E: There are no exponents.
M: On the left, multiply 1.5 by x, giving you 1.5x, and by 4, giving you 6. We now have 1.5x + 6 -3 on the left. On the right, do the same. Multiply 4.5 by x, giving you 4.5x, and then multiply 4.5 by -2, giving you -9. Our expression is now 1.5x + 6 - 3 = 4.5x - 9.
D: There is no division in the problem.
A: There is no addition in the problem.
S: Subtract the 3 from the 6 on the left:. We now have 1.5x + 3 = 4.5x - 9.
Now that were all simplified, lets solve. Subract 1.5x from both sides so that only one side has x, so it can be solved. We now have 3 = 3x - 9.
Add 9 to both sides, to simplify even further. We now have 12 = 3x.
For the final step, we need to isolate x. To do this, we need to get rid of the coefficient. We know that 3 and x are being multiplied, so we can just divide to undo it. Keep in mind that we need keep both sides equal, so we divide both sides. By what? By 3. Now, we have our final answer:
x = 4
f(x) = 7 -
What is the inverse
Answer:
Add x x and 0 0 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x+7 f - 1 ( x ) = x + 7 is the inverse of f(x)=x−7 f ( x ) = x - 7
Step-by-step explanation:
Which answer choice shows the decimals in order from least to greatest?
A. 1.121, 1.53, 1.432, 1.21
B. 1.53, 1.432, 1.21, 1.121
C. 1.21, 1.121, 1.432, 1.53
D. 1.121, 1.21, 1.432, 1.53
Solve the problem below by finding a common denominator.
23+12
Answer:
35
Step-by-step explanation:
23 + 12 = 35
= (20 + 10) + (3 + 2)
= 35
The following histogram shows the theoretical probability of the number of heads you might get after flipping for coins simultaneously. If you were to flip four coins what is the probability that you get a two or more coins that land heads up?
Answer:
i think this is how you find it but i apologize if im wrong
Step-by-step explanation:
Use binomial probability since there are only two possibilities: success and failure, where success represents getting a heads, and tails being a fail. Therefore we are trying to find P(X=2), which is (42)⋅(0.5)2⋅(0.5)2=0.375.
The probability that you get two or more coins that land heads up is 0.6875.
What is the theoretical probability?Theoretical probability is an approach in probability theory that is used to calculate the probability of an outcome of a specific event.
The following histogram shows the theoretical probability of the number of heads you might get after flipping for coins simultaneously.
If you were to flip four coins what is the probability that you get two or more coins that land heads up is;
Probability = flip 0 coin + flip 1 coin + flip 2 coin
Probability = 0.375 + 0.25 + 0.0625
Probability = 0.6875
Hence, the probability that you get two or more coins that land heads up is 0.6875.
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solve for x^2 + 12x + 27=0
Step-by-step explanation:
everything has been explained in the image above
Find the GCF of 24m and 16mn.
Answer:
8
Step-by-step explanation:
1. You star by figuring out what are the factors 24.(1,2,3,4,6,8,12,24).
2. Then you find the factors of 16.(1,2,4,8,16)
3. Then you look at the numbers and figure out which on is the largest. Which is 8
Will give brainliest!!!!
helpppp!!!
Answer:
28.4 in
Step-by-step explanation:
A hole the size of a photograph is cut from a red piece of paper to use in a picture frame. On a coordinate plane, 2 squares are shown. The photograph has points (negative 3, negative 2), (negative 2, 2), (2, 1), and (1, negative 3). The red paper has points (negative 4, 4), (4, 4), (4, negative 4), and (negative 4, negative 4). What is the area of the piece of red paper after the hole for the photograph has been cut? 17 square units 25 square units 39 square units 47 square units
Answer: D.
Step-by-step explanation:
First, find the area of the two squares:
The photograph: (-3, -2), (-2, 2), (2, 1), and (1, -3).
The square is diagonally aligned, so we need to find the length between two points in order to find the area.
I will use (1, -3) and (2, 1).
There is a 1 unit length and a 4 unit height. We can use the Pythagorean theorem to find the hypotenuse of the triangle, which is the length of the square's side:
1^2 + 4^2 = x^2
1 + 16 = x^2
x = square root of 17
The side length for the square of the photograph is the square root of 17, so the area of the photograph is 17 units^2.
The red paper has side lengths of 8. The distance between (-4, 4) and (4, 4) is 8 units wide, so we do not need to use the Pythagorean theorem.
Now that we know the area of the red paper and photograph, you can subtract the area to find the red paper with the hole:
64 - 17 = 47 square units.
Answer:
D
Step-by-step explanation:
Let's plot these points (see attachment).
We need to find the area of the paper and then the area of the photograph and subtract the photograph area from the red paper area.
The area of the big paper is easy; the side lengths of the square are 8 by 8, so the area is 8 * 8 = 64 square units.
Now, to find the area of the photograph, we just need the length of one side because it's a square. We use the distance formula between any two adjacent points; let's do (-2, 2) and (2, 1):
d = [tex]\sqrt{(2-1)^2+(-2-2)^2} =\sqrt{1+16} =\sqrt{17}[/tex]
Then the area is (√17)² = 17.
Subtract 17 from 64:
64 - 17 = 47
The area is 47 square units, or D.
If the probability of a student spending time reading is 0.10, the probability of spending time watching TV is 0.90, and the probability of spending time reading and watching TV is 0.03, what is the probability of a student spending time reading or watching TV?
Answer:
0.103
Step-by-step explanation:
Answer:
0.103
Step-by-step explanation:
Summarize what happens when the number of spins in experimental probability gets closer to 100.
a.
The outcomes get further from the theoretical probability for the same experiment.
c.
The outcomes stay the same.
b.
The outcomes get closer to the theoretical probability for the same experiment.
d.
The sample space gets larger.
Answer:
n sjn a
Step-by-step explanation:
Answer:
b.
The outcomes get closer to the theoretical probability for the same experiment.
Step-by-step explanation:
EDG2021
Find the percent of each number
22% of 45
30% of 210
42% of 360
4.6% of 80
12% of 35
55% of 128
Answer:
1. 9.9
2. 63
3. 151.2
4. 3.68
5.4.2
6. 70.4
Step-by-step explanation:
The group admission price at Wild World is given by the equation
p = 50 + 10n. Find the prices for groups with 5, 11, and 23 members.
To calculate the group admission prices for 5, 11, and 23 members at Wild World, we use the given equation p = 50 + 10n. The resulting prices are $100 for 5 members, $160 for 11 members, and $280 for 23 members.
Explanation:The group admission price at Wild World is determined by the equation p = 50 + 10n, where p is the total price and n is the number of members in the group. To find the prices for groups with 5, 11, and 23 members, we substitute the corresponding values of n into the equation.
For a group of 5 members: p = 50 + 10(5) = 50 + 50 = 100.For a group of 11 members: p = 50 + 10(11) = 50 + 110 = 160.For a group of 23 members: p = 50 + 10(23) = 50 + 230 = 280.The prices for groups with 5, 11, and 23 members are $100, $160, and $280 respectively.
Simplify 2x + 8y + 3x + y
Answer:
[tex] = > 2x + 8y + 3x + y \\ \\ = > 5x + 9y[/tex]
Answer:
5x + 9y
Step-by-step explanation:
Combine like terms (terms with the same variables as well as the same amount of variables).
2x + 3x + 8y + y = (2x + 3x) +(8y + y)
Combine:
2x + 3x = 5x
8y + y = 9y
5x + 9y is your answer.
~
A pool in the shape of a rectangular prism holds 672 cubic feet of water. The pool is 4 feet deep and 8 feet wide. What is the length of the pool in yards?
the correct answer is:
The length of the pool is 21 feet, which is equivalent to 7 yards when converted (21 feet ÷ 3).
To find the length of the pool in yards, we first need to find its dimensions in feet. We know the pool is shaped like a rectangular prism, so we have:
- Depth (D) = 4 feet
- Width (W) = 8 feet
To find the length (L), we can use the formula for the volume of a rectangular prism:
[tex]\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Depth} \][/tex]
Given that the volume of the pool is 672 cubic feet, we can plug in the known values:
[tex]\[ 672 = L \times 8 \times 4 \][/tex]
Solving for L:
[tex]\[ L = \frac{672}{8 \times 4} \]\[ L = \frac{672}{32} \]\[ L = 21 \][/tex]
So, the length of the pool is 21 feet.
Now, to convert this to yards, we know that 1 yard is equal to 3 feet. Therefore:
[tex]\[ \text{Length in yards} = \frac{21}{3} = 7 \][/tex]
So, the length of the pool in yards is 7 yards.
What is the 10th term in the geometric sequence? (2187, 729, 243, 81, 27)
The 10th term in the geometric sequence can be found by using the common ratio of 1/3 and applying it to the formula T(n) = a1 * r^(n-1). The 10th term is determined to be 1/9.
Calculating the 10th Term of a Geometric Sequence
To find the 10th term in the geometric sequence (2187, 729, 243, 81, 27), we first need to determine the common ratio (r). We can find r by dividing any term by its preceding term. Using the second and first terms, we get:
r = 729 / 2187 = 1/3
With the common ratio identified, we can use the formula for the nth term of a geometric sequence:
T(n) = a1 * r^(n-1)
Where a1 is the first term of the sequence and n is the term number. So, the 10th term (T(10)) is calculated as:
T(10) = 2187 * (1/3)^(10-1) = 2187 * (1/3)^9
To calculate this, we simply apply the exponent to the common ratio:
T(10) = 2187 * 1/19683 = 2187 / 19683 = 1/9
Therefore, the 10th term of the geometric sequence is 1/9.
Simplify: 4(5x−3)−3(4x−7)
Answer:
20x-12 and -12x+21
Which is then 8x+ 9
Step-by-step explanation:
Answer:
the answer is 8x + 9
Step-by-step explanation:
Suzanne needs material for her school project. She buys 3 1/4 yards of material at &2.50 a yard. What is the total cost of the material? Round to the nearest cent.
We have been given that Suzanne needs material for her school project. She buys 3 1/4 yards of material at &2.50 a yard. We are asked to find the total cost of the material.
To find the total cost of material, we will multiply the total yards of material by cost of material per yard as:
[tex]\text{Total cost of material}=\$2.50\times 3\frac{1}{4}[/tex]
[tex]\text{Total cost of material}=\$2.50\times \frac{13}{4}[/tex]
[tex]\text{Total cost of material}=\$0.625\times 13[/tex]
[tex]\text{Total cost of material}=\$8.125[/tex]
Upon rounding to nearest cent, we will get:
[tex]\text{Total cost of material}\approx \$8.13[/tex]
Therefore, the total cost of the material would be $8.13.
The graph of r = -3 + 5 cos theta is symmetric about the
Answer:
I graphed the equation on the graph below.
Step-by-step explanation:
If this answer is correct, please make me Brainliest!
Answer:
B
Step-by-step explanation:
x-axis only
If cosθ=1/3 , then sinθ = _____.
Answer:
[tex]sin\theta=\frac{2 \sqrt{2} }{3 }[/tex]
Step-by-step explanation:
We can use the following trigonometric property that relates the sine function and the cosine function:
[tex]sin^2\theta+cos^2\theta=1[/tex]
we solve for [tex]sin \theta[/tex]:
[tex]sin^2\theta=1-cos^2\theta\\\\sin\theta=\sqrt{1-cos^2\theta}[/tex]
we are give the value of [tex]cos\theta[/tex]:
[tex]cos\theta =\frac{1}{3}[/tex]
so we substitute this value:
[tex]sin\theta=\sqrt{1-(\frac{1}{3} )^2}[/tex]
and we solve the expression:
[tex]sin\theta=\sqrt{1-\frac{1}{9} } \\\\sin\theta=\sqrt{\frac{8}{9} } \\\\sin\theta=\frac{\sqrt{8} }{\sqrt{9} } \\\\sin\theta=\frac{2 \sqrt{2} }{3 }[/tex]
the answer is: [tex]sin\theta=\frac{2 \sqrt{2} }{3 }[/tex]
Kalani has these monthly liabilities: rent $925, car payment $356, credit card
payment $125. She has a gross annual income of $96,448. What is her monthly
debt-to-income ratio? (Find her gross monthly income first.)