The number will be 32 such that its half will be 16.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say that number is x
Given,
Half of a number is 16
So,
x/2 = 16
By multiplying 2 both sides
x = 32
Hence "The number will be 32 such that its half will be 16".
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Lou started his savings account with 50$ he now only has 31$. What percent of change did his savings account have?
Answer:
Step-by-step explanation:
50 - 31 = 19
38%
You miss 6 out of 25 questions on an science quiz 5 out of 20 questions on an math quiz. Which Quiz has an higher percent of correct answers.
The science quiz has a higher percentage of correct answers.
To determine which quiz has a higher percent of correct answers, we need to calculate the percentage of correct answers for each quiz.
Science Quiz:
You missed 6 out of 25 questions. Therefore, you answered 25 - 6 = 19 questions correctly.To find the percentage of correct answers, use the formula:Math Quiz:
You missed 5 out of 20 questions. Therefore, you answered 20 - 5 = 15 questions correctly.For the math quiz:[tex]Percentage = \frac{15}{20}*100 = 75\%[/tex]Comparison
The science quiz has a higher percentage of correct answers (76%) compared to the math quiz (75%).
Find the value of X.
Answer:
x = 109
Step-by-step explanation:
In pentagons, the total degrees for the interior angles is always 540 degrees.
540 = 91 + 160 + 100 + 80 + x
540 = 431 + x
109 = x
I hope this helped!
Milton has his money invested in a stock portfolio. The value, v(.r), of his
portfolio can be modeled with the function y(x) = 30,000(0.78)", where x is the
number of years since he made his investment. Which statement describes the rate
of change of the value of his portfolio?
A) It decreases 78% per year. B) It decreases 22% per year.
C) It increases 78% per year. D) It increases 22% per year.
Answer:
B) It decreases 22% per year.
Step-by-step explanation:
We are given that The value, v(.r), of his portfolio can be modeled with the function : [tex]y(x) = 30,000(0.78)^x[/tex]
Where x is the number of years since he made his investment.
Formula :[tex]P(1-r)^t=A[/tex]
Where P = Principal
r = rate of decrease
t = time
A = Amount after t years
So, On comparing
P = 30000
t=x
A=y(x)
[tex]1-r=0.78[/tex]
[tex]\Rightarrow 1-0.78=r[/tex]
[tex]\Rightarrow 0.22=r[/tex]
So, r = 0.22
r=22%
So, Rate of decrease is 22%
So, Option B is true,
It decreases 22% per year.
Suppose that Marvin rolls a pair of fair six-sided dice. Let A be the event that the first die lands on a 4 and B be the event that rolls doubles
P(A), the probability that the first die lands on 4?
P(B), the probability that Marvin rolls doubles?
P(A and B) the probability that the first die lands on 4 and Marvinv rolls doubles?
DEPENDENT OR INDEPENDENT?
Answer:
1/6
1/6
1/36
Independent
Step-by-step explanation:
Make a chart with 36 outcomes of a pair of six sided dice.
Count the amount that starts with 4, which is 6. 6/36 = 1/6
Doubles. Count the pairs, basically both numbers are the same. 6 outcomes out of total is 1/6.
Last one.
(1/6)^2 = 1/36
These are independent, because the first die landing on 4 doesn't have anything to do with making the die becoming doubles.
10
A person is selected randomly. What is the probability that the person was born on a
Sunday? *
14.3%
20%
80%
85.7%
Sophia invests $12,500 in an account that earns 4% annual simple interest. Assuming she makes no additional deposits or withdrawals, how much interest will Sophia earn after 3 years?
[tex]\text{Simple interest formula:}\\\\A=P(1+rt)\\\\\text{Plug in your given values:}\\\\A=12,500(1+0.04(3))\\\\\text{Solve:}\\\\A=12,500(1+0.04(3))\\\\A=12,500(1+0.12)\\\\A=12,500(1.12)\\\\A=14,000\\\\\boxed{\$14,000}[/tex]
Sophia will earn $14, 000 in interests after 3 years.
What is Interest?The fee you pay to borrow money or the fee you charge to lend money is called interest. The most common way to represent interest is as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.
We have,
Sophia invests $12,500 in an account.
R= 4%
Time= 3 years
So, Amount = P(1+ rt)
A = 12500 (1 + 0.04(3))
A = 12500 ( 1 + 0.12)
A = 12500 + 1.12
A = $14, 000
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What is side Bc round to nearest hundredth
Answer:
BC = 15.01
Step-by-step explanation:
Solve this question using a trigonometry ratio, which you can remember them all with SohCahToa, which says:
sinθ = opp / hyp
cosθ = adj / hyp
tanθ = opp / adj
θ means the "angle of reference" (angle we are talking about).
In this problem, θ is A = 65°,
To decide which trig. ratio to use, find out which sides we want to use. We will use AC = 7 because we know it.
We also use BC because we need to find it.
In relation to ∠A or θ, AC is adjacent and BC is opposite.
The ratio with adjacent and opposite is tangent.
tanθ = opp / adj Substitute the variables for this question
tanA = BC / AC Substitute the values you know
tan65° = BC / 7 Rearrange this and isolate C
BC = 7tan65° Multiply 7 and tan65 to find the missing side
BC = 15.011548...... Exact answer on your calculator
BC ≈ 15.01 Round to nearest hundredth
pls help i’ll give u a brainlest
Answer:
(13×14×6)/3= 364 centimeter cube
I answered wrongly cuz forgot to divide by 3
my mistake
Answer:
4263m^3
Step-by-step explanation:
So for number 2, that is a right rectangular pyramid. The formula is lwh/3.
The length is 21, the width is 21, and the height is 29. So the volume is 4263.
Are you winning or losing?
Answer:
You are winning
Step-by-step explanation: If you drop in $2 a day for 10 weeks you have spent $20. You have won $75 from the slots which leaves you with a gain of $55.
8 times the sum of 2 and 15
Answer:
136
Step-by-step explanation:
15 plus 2 is 17,then multiplied by 8
How many places do you need to move the decimal to the left to write the
number below in scientific notation?
6000000000000
Answer: 6 x 10^12
Step-by-step explanation:
Move the decimal to the left so there is one non-zero digit number left of the decimal point. This will be the exponent placed on 10
Which graph models the function f(x) = -4(2)x? (2 points)
Answer:
pls mark me brainliest
Step-by-step explanation:
Answer:
Step-by-step explanation:
Ariel and her family are going to order one large circular pizza that has a diameter of
20 inches and one small circular pizza that has a diameter of 12 inches.
Which measurement is closest to the difference between the area of the large pizza and the
area of the small pizza in square inches?
The difference between the area of the large pizza (20-inch diameter) and the small pizza (12-inch diameter) is about 201.06 square inches. We calculated this by finding the area of each pizza using the formula for the area of a circle, and then subtracted the smaller area from the larger.
Explanation:The subject of this question is Mathematics, specifically the concept of area for circles. To calculate the difference between the areas of the two pizzas, we first have to find the area of each pizza individually.
The formula for the area of a circle is A = πr^2, where r is the radius of the circle. For the large pizza with a diameter of 20 inches, the radius is 20/2=10 inches, so its area would be A = π * (10^2) = 314.16 square inches.
For the smaller pizza with diameter of 12 inches, the radius is 12/2 = 6 inches. So, the area of the small pizza is A = π * (6^2) = 113.10 square inch.
Now, to get the difference between the two areas, we subtract the smaller area from the larger area: 314.16 square inches - 113.10 square inches = 201.06 square inches. This is the difference between the area of the large pizza and the small pizza.
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I need help please. Solve by the method of substitution, and could you please show/explain how? Im stumped. Thanks
Answer:
D x+9 = 2x+1
Step-by-step explanation:
y = x+9
y = 2x+1
Substitute x+9 for y in the second equation
y = 2x+1
x+9 = 2x+1
This answers the question
To finish the problem
Subtract x from each side
x+9-x =2x-x+1
9 = x+1
Subtract 1 from each side
9-1 =x+1-1
8=x
Now find y
y = x+9
y = 8+9
y=17
You sell tires for $65 each at your automotive service shop. At this price, what does it cost to purchase a set of 4 tires, not including tax?
$69
$105
$260
$280
$325
Answer:
$260
Step-by-step explanation:
you multiply $65 by 4 for the set of four and the product is $260.
Answer:
A set of 4 tires cost $260.
Step-by-step explanation:
It is given that each tire is sold for $65. In order to find a set of 4 tires, you have to multiply it by 4 :
1 tire = $65
4 tires = $65×4
= $260
What is the value of x 4 + 0:5y 3 when x = 2 and y = 4?
Answer:
Step-by-step explanation:
x^4+0.5y^3=2^4+0.5x4^3
=16+0.5x64
=16+32
=48
Heather has a bag with 16 red blocks, 11 bile blocks, 9 purple blocks, 15 green blocks, 8 yellow blocks, and 20 orange blocks. If she
was to draw a block out of the bag, record the color and replace the block back in the bag, repeating 500 times, what would most
likely be the probability of drawing a green block (round to the nearest hundredth)?
Answer:0.19
Answer:
it would be 0.25
Step-by-step explanation:
I think the answer would be 0.19
(Hope this helps!)
Solve the system of equations below by graphing both equations with a
pencil and paper. What is the solution?
y = 2x - 3
y = -2x + 5
A.) (-2,5)
B.) (-2,-7)
C.) (2,1)
D.) (2,-3)
Answer:
4
Step-by-step explanation:
Answer:
The answer is C. (2,1)
Step-by-step explanation:
A bag contains 5 blue marbles, 2 blavk marbles, and 3 red marbles. A marble is randomly drawn from the bag. The probability of not drawing a black marble is ___. The probability of drawing a red marble is ___.
Answer:
20% black marble 30% red marble
Final answer:
The probability of not drawing a black marble is 4/5. The probability of drawing a red marble is 3/10.
Explanation:
To find the probability of not drawing a black marble, we need to find the ratio of the number of marbles that are not black to the total number of marbles. In this case, there are 5 blue marbles and 3 red marbles, so the total number of marbles is 5 + 2 + 3 = 10. The number of marbles that are not black is 5 + 3 = 8. Therefore, the probability of not drawing a black marble is 8/10 or 4/5.
To find the probability of drawing a red marble, we need to find the ratio of the number of red marbles to the total number of marbles. In this case, there are 3 red marbles out of a total of 10 marbles. Therefore, the probability of drawing a red marble is 3/10.
A bacterial culture starts with 400 bacteria and grows at a rate proportional to its size. After 2 hours there will be 800 bacteria.
1) Express the population, P(t) after t hours as a function of t
2) Using your equation from above, what will the population be after 8 hours?
3) Using your equation from above, after how many hours will the population reach 2270 bacteria?
Answer:
P(t) = 400×2^(t/2)64005.0Step-by-step explanation:
The wording "a rate proportional to its size" is an indication that growth (or decay) is exponential.
1) For many problems involving exponential growth, I like to use the numbers given in the problem statement as follows.
population = (initial population) × (growth factor)^(t/(growth period))
where the "growth period" is the period of time in which the population is multiplied by the "growth factor".
Here, we're given ...
(initial population) = 400
(growth factor) = 800/400 = 2
(growth period) = 2 . . . . hours
So, our population function can be written as ...
P(t) = 400×2^(t/2)
__
2) Putting t=8 into the formula, we get ...
P(8) = 400×2^(8/2) = 400×16 = 6400
After 8 hours, the population will be 6400.
__
3) Fill in the given number and solve for t.
2270 = 400×2^(t/2)
2270/400 = 2^(t/2)
Taking logs, we have ...
log(227/40) = (t/2)log(2)
t = 2×log(227/40)/log(2) ≈ 5.009
After 5.0 hours, the population will reach 2270.
Let p be a prime number such that p>2. Use the proof by contradiction to show that at least one of numbers p−1 and p+1 is divisible by 4.
PLEASE HELP!!!!!!
Look at the figure. Find the value of x.
A.) 90
B.) 30
C.) 15
D.) 45
Answer:
15
Step-by-step explanation:
An isosceles triangle has equal base angles.
Hence,
[tex] 3x=5x-30\\
\implies 30=2x\\
\implies x=15[/tex]
Answer:
C
Step-by-step explanation:
Well all triangles need to be equal to 180°. When you substitute a, b, and d in for x, the result are bigger than 180 not including the 3rd angle. With C the angles equal 45° and 45° angle which leave the appropriate sized angle for the 3rd angle at 90°. So x is equal to 15.
A system of equations is shown below.
Equation A: 5x +9y = 12
Equation B: 4x – 3y = 8
Which method eliminates one of the variables?
1) Multiply equation A by and add the result
to equation B.
2) Multiply equation B by 3 and add the result to
equation A.
3) Multiply equation A by 2 and equation B by - 6
and add the results together.
4) Multiply equation B by 5 and equation A by 4
and add the results together.
1on
Multiply equation B by 3 and add the result to
equation A.
Option 2 is correct
Multiply equation B by 3 and add the result to A
How to Solve linear equations?When we are given two equations we can solve them by eliminating one variable, and equating the value of one variable to another or by using a matrix.
How to Eliminate One Variable?Let us assume two-equation ax+by = c and px+qy = d, now suppose we want to eliminate x from this two-equation, then we cross-multiply the x coefficients and then subtract them or add them considering the final coefficients of x, we multiply the equation by a multiple of their LCM So multiplying equation ax+by= c by p we get: apx+bpy=pc similarly we mulitply (-a) in equation px+qy=d we get -apx-aqy= -ad If we add the new equation we get y(bp-aq) = pc-ad and we have eliminated x successfully. for eliminating y we would have used coefficients of y.Solving the questionIf we want to eliminate y in the given equation we will, LCM of (9,3) is 9 we can multiply B by 3 and add to A.
Hence Option 2 is correct.
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simplify 3 square root of 4/ 3 square root of 5
The final simplified expression is 2 over the square root of 5, represented as [tex]\( \frac{2}{\sqrt{5}} \).[/tex]
Let's break it down step by step:
1. Simplify the square roots:
[tex]- \(\sqrt{4}\) equals 2 because \(2 \times 2 = 4\). So, \(\sqrt{4} = 2\).[/tex]
- We have [tex]\(\sqrt{5}\)[/tex] in the denominator, which cannot be simplified further because 5 is a prime number and doesn't have any perfect square factors.
2. Substitute the simplified square roots:
- After simplifying [tex]\(\sqrt{4}\)[/tex] to 2, the expression becomes [tex]\(\frac{3 \times 2}{3\sqrt{5}}\).[/tex]
3. Cancel out the common factor:
- Both the numerator and the denominator have a factor of 3. So, we can cancel out 3 from both sides:
[tex]\[\frac{3 \times 2}{3\sqrt{5}} = \frac{2}{\sqrt{5}}\][/tex]
4. Final simplification:
- The expression [tex]\(\frac{2}{\sqrt{5}}\)[/tex] is simplified as far as it can go because the square root of 5 cannot be simplified further.
So, the simplified expression is [tex]\(\frac{2}{\sqrt{5}}\).[/tex]
Mark, Chase, and Beatrice are running a 100-meter race. Which list represents the sample space of all the possible ways in which the three runners can win first, second, and third places? If there were four runners and three positions to be won, what would the sample size be?
A.
The sample space is {MBC, BCM, CMB}. If there were four runners, the sample size would be 4.
B.
The sample space is {MBC, MCB, BCM, BMC, CBM, CMB}. If there were four runners, the sample size would be 24.
C.
The sample space is {MBC, BCM, CMB}. If there were four runners, the sample size would be 4.
D.
The sample space is {MBC, MCB, BCM, BMC, CBM, CMB}. If there were four runners, the sample size would be 16.
the answer is B: 24
i know it
In triangle ABC a=8. b=6, and angleC= 60°. Find the measure of angleA
16 degrees
46 degrees
74 degrees
106 degrees
Answer: The correct answer is 74˚
PLEASE HELP! Is my answer correct?
We know angle P is 90 degrees because of Thales Theorem, and angle N is 60 degrees. Because the angles in a triangle have to add up to 180 degrees, angle PMN has to be 30 degrees.
Angle QMO is half of angle PMN, so it's 15 degrees. Angle MQO is equal to angle QMO because the radii make Triangle OQM isosceles, so angle MQO is 15 degrees.
Answer:
yes this is right
Step-by-step explanation:
the triangle MOQ is icosceles and angle O is 150 degrees so that leaves 30/2... 15.
find the mode of the following data: 9,15,17,18,6,20,8,5,18,18,10,5,14,12,10,7
Answer:
18
Step-by-step explanation:
mode is the number that occurs the most
Answer:
18
Step-by-step explanation:
I just identified the numbers and saw 18 the most
I know why but I can’t explain it and it won’t except my explanation someone help!