Answer:
most likely B
Step-by-step explanation:
Solve the equation 1/4 a =3
Answer:
a=12
Step-by-step explanation:
To solve, we need to isolate the variable, a
1/4a =3
To do this, divide both sides by 1/4, or multiply both sides by the reciprocal of 1/4: 4/1
4(1/4a)=3(4)
The 4 and 1/4 will cancel out
a=12
Answer:
a = 12
Step-by-step explanation:
1/4 a = 3
Multiply each side by 4
1/4a*4 = 3*4
a =12
Which table represents a linear function?
If the sum of the interior angles of a polygon is 1800°, how many sides does it
have?
Answer: 12
Step-by-step explanation: (s-2)(180)=1800, s-2=10, s=12
Using the formula for the sum of the interior angles of a polygon, we can determine that a polygon with an interior angle sum of 1800 degrees has 12 sides.
To determine the number of sides a polygon has based on its interior angle sum, we can use the formula for the sum of the interior angles of a polygon, which is (n - 2) times 180 degrees, where n is the number of sides of the polygon. Given that the sum of the interior angles is 1800 degrees, we can set up the equation n - 2 = 1800 / 180, which simplifies to n - 2 = 10. Solving for n gives us n = 12, so the polygon must have 12 sides.
how do you expand (5x+ 1)(5x-1)
Step-by-step explanation:
Multiply both numbers so
25x2 - 6x + 6x - 1
25x2 - 1
Answer:
25x power of 2 subtract 1
Step-by-step explanation:
Please Help!!!!!
Which method can you use to prove these triangles congruent?
Answer: The HL Theorem.
Step-by-step explanation: We are given that the triangles have a congruent 90 degree angle and two congruent sides. This would indicate towards SAS but in this case, that doesn't work because the angle is not in between the two congruent sides. We know that the triangles are right, and that their hypotenuses are congruent and that one leg is congruent. Thus, the answer must be HL (hypotenuse & leg).
Answer:
The HL Theorem.
Step-by-step explanation:
Write an equation for the line in slope-intercept form
The slope of the line is 3. The y-intercept is (0,4)
Answer:
y - 4 = 3(x - 0)
y - 4 = 3x - 0
y = 3x + 4
Step-by-step explanation:
Gabriel is at the grocery store, and wants to figure out his total cost before he gets to the register. He bought 2.5 pounds of apples that are x dollars a pound and 2 bags of lettuce for y dollars each. Which expressions would represent his total cost?
Answer:
I KNOW IT!!^^
Step-by-step explanation:
All right the answer would be 2.5x+2y=? so basically since x represents the cost of one pound of apples and y represents the cost of one bag of lettuce i had 2 this 2 last year i hope this helped u!!^^
To make Kool-Aid, the ratio of cups of water to cups of powder is 8 to 2. If I use
12 cups of water, how many cups of powder do I need? *
Answer:
3 cups of powder
Step-by-step explanation:
8/2 divided by 2=
4/1
4/1 x 3= 12/3
the 12 represents the water and the 3 represents the powder
Answer: 3 cups of powder
Step-by-step explanation
8 12. first you cross multiply so the equation would be 8x = 24
2 X. The you do division to get the answe for x X = 3
x represents the amount of powder that is needed so you just replace x for cups of powder! And done!
Which expression is equivalent to 9x + 3y
Answer:
3(3x + y)
Step-by-step explanation:
Sorry if its wrong
The sum of three consecutive integers is 9.
1. Determine the variable.
2. Identify key words and translate their meanings.
3. Write the multistep equation for the scenario.
Use the variable n to represent the first integer. Finish translating to identify the third integer.
1st integer: n
2nd integer: n + 1
3rd integer: n + _
To solve for three consecutive integers whose sum is 9, we can express the integers as n, n + 1, and n + 2. Using the equation n + (n + 1) + (n + 2) = 9, we find that n = 2. Therefore, the three consecutive integers are 2, 3, and 4.
Explanation:To solve for three consecutive integers whose sum is 9, we can start by expressing the integers in terms of a variable. Let's use the variable n to represent the first integer.
The second integer would then be n + 1, and the third integer would be n + 2.
The sum of these three integers is given as 9, so we can write the equation n + (n + 1) + (n + 2) = 9.
Simplifying the equation by combining like terms, we get 3n + 3 = 9. Subtracting 3 from both sides, we have 3n = 6. Finally, dividing both sides by 3, we find that n = 2.
Therefore, the three consecutive integers are 2, 3, and 4.
What is the surface area of the triangular prism?
Answer:
168ft
Step-by-step explanation:
1/2(6)(4)=12
1/2(6)(4)=12
(9)(5)=45
(9)(5)=45
(9)(6)=54
12+12+45+45+54=168
Hey please help with this problem I cannot get passed is Thank you.
Answer:
40
Step-by-step explanation:
Because these angles are the same, we can make an equation, 5x-5=3x+13.
2x - 18 = 2 • (x - 9)
Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : x-9 = 0
Add 9 to both sides of the equation :
x = 9
Replace x with 9 in this equation, 3(9) + 13
27+13
=40
What number would you add to the equation below to complete the square?
x2 + 5x = 0
A. 25/4
B. 4
C. 5/2
D. 25
Answer:
A. 25/4
Step-by-step explanation:
[tex](5/2)^{2}[/tex] = 25/4
Suppose ABCD is a rhombus such that the angle bisector of ∠ABD meets
AD at point K. Prove that m∠AKB = 3m∠ABK. Help meee!! What do I put in the box shown below??
Answer:
Step-by-step explanation:
As we know that:
BK is bisector of ∠ABD=> ∠ABK=∠KBD=x
=> ∠ABD=2x
Now AB=AD, two sides of rhombus ABCD=> ∠KDB=∠ABD=2x
∠AKB being exterior angle of ΔKBD, we have:∠AKB=∠KDB+∠KBD=2x+x=3x
Please have a look at the attached photo
What’s the answer to the question
Answer:
Out of all four, your answer would be the second choice: Y=0.4X.
Step-by-step explanation:
In order to get the answer, all you have to do this divide any y value you find on the line by the any x-value (as long as they're connected).
In this case, I decided to divide 2 by 5.
2/5 = 0.4.
You can also divide 4 by 10 and 6/15. You'll always get 0.4 as your answer.
P.S. I wish you good luck with the rest of your assignment!!
Guilherme observed the number of minutes in an hour his dormmates spent on social media sites while they were at the library. He reported his data in the following table. Dormmate Number of minutes on social media Vera 131313 Timothy 000 Manueala 141414 Khaled 363636 Yash 181818 Fernanda 161616 How many dormmates spent less than 202020 minutes on social media sites?
Guilherme observed the number of minutes in an hour his dormmates spent on social media sites while they were at the library. He reported his data in the following table. Dormmate Number of minutes on social media Vera 131313 Timothy 000 Manueala 141414 Khaled 363636 Yash 181818 Fernanda 161616 How many dormmates spent less than 202020 minutes on social media sites?
Answer:
15.5
Step-by-step explanation:
First, let's add up all of the minutes on social media.
13+0+14+36+18+12=93 min
Now we need to divide the total by the number of dormmates.
93/6
15.5
Circle A: center (2, 3) and radius 5. Circle B: center (-1, 4) and radius 10. Which of the
following is the necessary transformation (translation; dilation) from B to A to prove
that the two circles are similar?
Answer:
see explanation
Step-by-step explanation:
The centre of circle B requires to be coincident with centre of circle A
(- 1, 4 ) → (2, 3 )
That is a translation of < 3, - 1 >
This ensures that the circles are concentric ( have the same centre )
radius of B is 10 and radius of A is 5, thus
dilatation = [tex]\frac{5}{10}[/tex] = [tex]\frac{1}{2}[/tex]
Estimate a 5% tip on a bill of $79.54 by first rounding the bill amount to the nearest ten dollars.
Answer:
$4
Step-by-step explanation:
Answer:
Step-by-step explanation:
79.54*.005=0.3977*100=39.77 or .005*80=.40*100=40
The sum of one and the product of four and a number x.
The sum of one and the product of four and a number looks like this: 1 + (4n) or 1 + (4 x n) whatever you prefer.
What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest hundredth.
4 ft
Rounded to the nearest hundredth, the volume of the sphere with a radius of 4 ft is approximately 267.95 cubic feet.
The formula for the volume V of a sphere is given by:
[tex]\[V = \frac{4}{3} \pi r^3\][/tex]
Given:
Radius r = 4 ft
Let's calculate the volume using the given radius:
[tex]\[V = \frac{4}{3} \times 3.14 \times 4^3\][/tex]
[tex]\[V = \frac{4}{3} \times 3.14 \times 64\][/tex]
[tex]\[V = \frac{4}{3} \times 200.96\][/tex]
[tex]\[V \approx 267.95\][/tex]
In a company, 65% of the workers are men. If 1,155 women work for the company, how many workers are there in all?
Answer:
1,715
Step-by-step explanation:
100-65=35
x*(.65)=1,115
1,715
How do you graph the equation f(x)=2•3x
Answer:
Step-by-step explanation:
slope=6
y-int=0
just plot this on a graph
A coin is flipped 200 times. The results are 102 heads and 98 tails. What is the relative frequency of getting a tail? Question 2 options: 2% 49% 51% 98%
Answer:
98/200= 49% B.
Consider the sequence shown.
A, E, I, …
Jorge reasons that the next letter in the sequence is M, since three letters of the alphabet are
skipped between each listed letter.
Should Marci agree with Jorge's inductive reasoning?
A
No; the sequence could be listing the vowels in alphabetical order.
B
No; sequences with only three terms are too short to use to find patterns.
C
Yes; this is the only reasonable pattern that can be identified from the terms.
D
Yes; inductive reasoning is a valid method for determining terms of a sequence.
Yes; inductive reasoning is a valid method for determining the terms of a sequence. Option D is correct.
Given that,
A, E, I, …
Jorge reasons that the next letter in the sequence is M since three letters of the alphabet are skipped between each listed letter. Should Marci agree with Jorge's inductive reasoning is to be determined.
Inductive reasoning is a form of definining determinations by proceeding with patterns specific to the usual. It's generally distinguished with deductive reasoning, there it proceeds from general knowledge to specific conclusions.
Here,
Jorge reasons that the next letter in the sequence is M in A, E, I, … since three letters of the alphabet are skipped between each listed letter.
And Yes, Marci agrees with Jorge's inductive reasoning is a valid method for determining the terms of a sequence.
Thus, Yes; inductive reasoning is a valid method for determining the terms of a sequence. Option D is correct.
Learn more about inductive reasoning here:
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Which is the best estimate for the area of the circle shown below?
A. 66 square meters
B. 121 square meters
C. 380 square meters
D. 726 square meters
Answer:
c) 380 m²
Step-by-step explanation:
A = π·r²
= 3.14×121
= 379.94
≈ 380 m²
Five years ago, Nina was twice as old as Sam. In five years, she will be 1.5 times as old as Sam. How old are Nina and Sam now?
Answer:
Nina is 25, Sam is 15
Step-by-step explanation:
5 years ago, Nina was 2S, and Sam was S.
In 5 years, she will be 1.5S and Sam is S.
In a span of 10 years, she will be 0.5S less.
20, 10 5 years ago
Currently, 25 and 15 years.
30 and 20 years in 5 years.
20*1.5=30
By solving from an expression Nina is currently 25 years old and Sam is currently 15 years old.
What is an expression?In mathematics, an expression is a combination of one or more numbers, variables, constants, and operators, which when evaluated, produce a value. Expressions can include mathematical symbols such as addition, subtraction, multiplication, division, exponents, roots, logarithms, and trigonometric functions.
Let's start by assigning variables to their current ages. Let N be Nina's current age and S be Sam's current age.
We know from the first sentence that 5 years ago, Nina was twice as old as Sam. So we can set up an equation based on that:
N - 5 = 2(S - 5)
Expanding the right side:
N - 5 = 2S - 10
N = 2S - 5
Now we can use the second sentence, which tells us that in 5 years Nina will be 1.5 times as old as Sam.
N + 5 = 1.5(S + 5)
Expanding the right side:
N + 5 = 1.5S + 7.5
N = 1.5S + 2.5
We have two equations, one for N in terms of S and one for N in terms of S. We can set them equal to each other:
2S - 5 = 1.5S + 2.5
Solving for S:
0.5S = 7.5
S = 15
So Sam is currently 15 years old. We can use either equation to find Nina's age:
N = 2S - 5
N = 2(15) - 5
N = 25
So Nina is currently 25 years old.
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Gary has (10x + 7) dollars if gary decides to buy two pairs of jeans write an expression that represents how much money gary will have left over after the purchase then simplify your expression
The expression (2x + 17) represents how much money Gary will have left over after purchasing two pairs of jeans.
To find out how much money Gary will have left over after purchasing two pairs of jeans, we need to subtract the cost of the jeans from the total amount Gary has.
Total amount Gary has = (10x + 7)
Cost of two pairs of jeans = (2(4x - 5))
Now, subtract the cost of jeans from the total amount:
Leftover money = (10x + 7) - 2(4x - 5)
Let's simplify this expression:
Leftover money} = 10x + 7 - (8x - 10)
Leftover money} = 10x + 7 - 8x + 10
Leftover money} = 2x + 17
So, the expression (2x + 17) represents how much money Gary will have left over after purchasing two pairs of jeans.
Question
Jeremy can stand on one leg for 3.8 minutes. Express that time in seconds.
Answer:
He can stand on one leg for 228 seconds.
Step-by-step explanation:
You multiply the 3.8 seconds by 60.
So, 3.8 * 60 = 228
Hope this helps :)
Sarah is taking a test. The test is designed to produce an overall mean score of 85 with a standard deviation of 5 for all test takers.
Suppose Sarah scored a 90 on the test. Given that the data is approximately normal, standardize the test score and find the area
under the normal curve below the standardized test score
A.
The area below the standardized test score is 0.504
B.
The area below the standardized test score is 0.1587
C.
The area below the standardized test score is 1
D.
The area below the standardized test score is 0.8413
Answer:
Option D)
The area below the standardized test score is 0.8413
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 85
Standard Deviation, σ = 5
We are given that the distribution of score is a bell shaped distribution that is a normal distribution.
Formula:
[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]
P(score is below 90)
[tex]P( x < 90) = P( z < \displaystyle\frac{90 - 85}{5}) = P(z < 1)[/tex]
Calculation the value from standard normal z table, we have,
[tex]P(x < 90) =0.8413 = 84.13\%[/tex]
Thus, the correct answer is
Option D)
The area below the standardized test score is 0.8413
The probability that Babe Ruth hits a home run on any given at-bat is 0.12, and each at-bat is independent.
Part A: What is the probability that the next home run will be on his fifth at-bat? (5 points)
Part B: What is the expected number of at-bats until the next home run? (5 points)
Answer:
A) 0.072 = 7.2%
B) 8.3333 at-bats (8 to 9 at-bats)
Step-by-step explanation:
A)
If the chance of hitting a home run is 0.12, the chance of not hitting a home run is 1 - 0.12 = 0.88.
To find the probability of the next home run being in the fifth strike, we need the four other strikes to not be a home run, so the probability is:
P = (0.88)^4 * 0.12 = 0.072 = 7.2%
B)
To find the expected number of at-bats until the next home run, we just need to divide 100% by the probability of hitting a home run (0.12 = 12%):
100/12 = 8.3333
So the expected number is 8 to 9 at-bats