If Investors buy a studio apartment for the amount of 240,000.
a. The percent of the purchase price is 25%.
b. The percent of the purchase price is 5%.
How to find the percent of purchase price?a. Percent of purchase price
Using this formula to find the percentage of purchase price
Percent of purchase price = Down payment / Selling price
Percent of purchase price = $60,000/$240,000
Percent of purchase price = 0.25 × 100
Percent of purchase price = 25%
b. Percent of purchase price
Percent of purchase price = Down payment /Selling price
Percent of purchase price = $12,000/$240,000
Percent of purchase price = 0.05 ×100
Percent of purchase price = 5%
Therefore the percent of the purchase price is 25%, 5%.
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which boxes do they go to help
The boxes that the numbers in scientific notations go to are:
2.32E9 = 2,320,000,0002.32E8 = 232,000,0004.31E-13 = 0.0000000000004314.31E-6 = 0.00000432How are scientific notation number written in standard form?When converting scientific notation numbers to standard form, multiply the power to 10 given by the number in question:
2.32E9:
= 2.32 x 10⁹
= 2,320,000,000
2.32E8:
= 2.32 x 10⁸
= 232,000,000
4.31E-13:
= 4.31 x 10⁻¹³
= 0.000000000000431
4.31E-6:
=4.31 x 10⁻⁶
= 0.00000432
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6 x 5/8 in simplest form
what is 7x+3y=9 in y-intercept form?
Answer:
y = -2 1/3+3
Step-by-step explanation:
-Subtract 7x from each side of equation
-divide by 3 on each side
7x+3y = 9
3y = -7x+9
y = -7/3+3
:) ur welcome
Your math class is collecting canned food for a local food drive. The goal is to collect at least 110 cans but no more than 190 cans due to space limitations. There are 20 students in your math class and your teacher has promised to bring in 10 cans. Select which inequalities represent the possible numbers n of cans that each student should bring in.
Answer:
9<190
Step-by-step explanation:
The teacher is supposed to bring in 10. so 190-10 would be 180. 180/20=9. Each student can bring a max number of 9.
110 ≤ 20n + 10 ≤ 190 inequality represent the possible numbers n of cans that each student should bring in.
What is inequality?Inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
For this case, the first thig we must do is define variables
We have then:
n = number of cans that each student must bring
We know that
The teacher will bring 10 cans
There are 20 students in the class
At least 110 cans must be brought, but no more than 190 cans
Based on the requirements, the equation of the problem is given by
110 ≤ 20n + 10 ≤ 190
Hence, 110 ≤ 20n + 10 ≤ 190 inequality represent the possible numbers n of cans that each student should bring in.
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13 times what equals 13,000
Answer:
1000
Step-by-step explanation:
13 X 1000
13 x 10 = 130 Add two zero's we removed. 13000
Which is the graph of y = [x] – 2?
Answer:
-2
Step-by-step explanation:
kiras kayaks charges it's customers $8 per hour, but it gives a $5 discount to any customer who rents a kayak for at least 2 hours.
Can someone help me with is question?
Answer:
$20
Step-by-step explanation:
if you look at the graph it shows that cappie canoes charges $25 for 3 hours but for every 2 hours they get a $5 discount so 25-5=20
The question is one the picture
Answer:
y=-1/2x+4
Step-by-step explanation:
The line is going down, which means it's negative. You then do rise over run, go up by 1 and go to the left by 2. To find the y intercept, it's 4 since the coordinate is (0,4).
The graph shows the amount of book sales
over several days. Determine if the
relationship is proportional. Find and
interpret the slope. Then find the unit rate
and compare it to the slope.
Yes, the relationship is proportional and the slope is 1000/3. The unit rate is also 1000/3. So, slope is directly proportional to the unit rate. Since, slope=unit rate.
What is a slope?When the ratio is expressed as a quotient, the same number is provided for every pair of distinct points on the same line ("rise over run"). In a diagram that shows a roof or a road as a description or a plan, the line may be practical as determined by a road surveyor; on a falling line, there is a negative "rise."
The slope's absolute value can be used to estimate a line's steepness, incline, or grade. The slope of a line in the plane that includes the x and y axes is commonly represented by the letter m and is defined as the difference between the y coordinate and the equivalent difference in the x coordinate between two distinct points on the line.
The sales are directly proportional to the number of days
The slope of the lines is given by (3, 1000), (6, 2000)
Slope=(2000-1000)/(6-3)
Slope=1000/3
From the graph given,
$1000 is obtained on 3 days.
Therefore, the unit rate is 1000/3
Therefore, Slope=unit rate=1000/3
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Take a strip of paper, put two half twists in it, and glue the ends together. Now cut it lengthwise while hugging the right edge. What do you get?
The answer of the given question based on graphing and crafting is you will create a Mobius strip , and when we cut it into lengthwise you will get a single, longer Mobius strip.
What is Mobius strip?A Möbius strip is a one-sided surface with only one boundary component. It is named after the German mathematician August Ferdinand Mobius who discovered it in 1858.
A Mobius strip can be created by taking rectangular strip of paper, giving it half-twist, and then connecting two ends of strip together to form loop. The resulting loop will have interesting property of being non-orientable, which means that it only has one side.
If you take a strip of paper, put two half-twists in it, and glue the ends together, you will create a Mobius strip.
When you cut a Mobius strip length wise down the middle while hugging the right edge, you will get a single, longer Mobius strip that has two full twists instead of the original two half twists. This is because cutting down the middle of the Mobius strip results in flipping one of the twists, which combines with the original twist to create a double twist.
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A rectangular rug has an area of 84 square feet. If the length is 8 feet more than the width, find the dimensions of the rug.
Answer:
w=6
l=14
Step-by-step explanation:
Area of rectangle = l*w
So:
\(w*(w+8)=84\)
Then, just find w, and w+8.
\(w^2+8w=84\\w^2+8w-84=0\\(w-6)(w+14)=0\\w-6=0, w=6\\w+14=0, w=-14\)
Length cannot be negative, so the width is 6.
Length = width + 8 = 6+8=14
Choose the correct simplification of (9xy^5)^2.
A) 18x^2y^10
B) 18x^2y^7
C) 81x^2y^7
D) 81x^2y^10
Answer:
D) 81x²y¹⁰
Step-by-step explanation:
(9xy⁵)²
Because all of 9xy⁵ are in the parentheses, each component is raised to the 2nd degree.
(9)² = 81
(x)² = x²
(y⁵)² = y¹⁰ -- When you raise an exponent to another exponent, you multiply the exponents.
Now combine the components.
D) 81x²y¹⁰
Someone please help and thank you
Answer:
8:3
Step-by-step explanation:
The GCF of each of them is 8. Divide both of them by it you'll get the ratio
in equivalence the answer is 8 3
A blueprint used a scale of 1.5 cm = 2 m to
represent a grain silo. If the height of the silo in
the drawing was 33 cm, how tall is the actual grain
silo?
Answer: The Silo is 44 meters tall
Step-by-step explanation:
To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)
each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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If f (x) = 2x and g(x) = 2x2 – 1 find f (g(x))
Answer:
Step-by-step explanation:
f(g(x) = f(2x^2-1)
Given f(x)=2x
f(g(x) = 2(2x^2 - 1) = 4x^2 - 2
Solve for G.D=3/5(F+G)
The equation given is
\(\begin{gathered} D=\frac{3}{5}(F+G) \\ \end{gathered}\)We multiply the "3/5" with both F and G following the distributive property,
\(D=\frac{3}{5}F+\frac{3}{5}G\)Now we take the term with "G" to one side and solve with the rules of algebra. We isolate G:
\(\begin{gathered} D-\frac{3}{5}F=\frac{3}{5}G \\ \frac{D-\frac{3}{5}F}{\frac{3}{5}}=\frac{\frac{3}{5}G}{\frac{3}{5}} \\ G=\frac{D-\frac{3}{5}F}{\frac{3}{5}} \end{gathered}\)We dividing by a fraction, we can multiply by its reciprocal. It doesn't change anything.
So, further simplifying, we have:
\(\begin{gathered} G=\frac{5}{3}\times(D-\frac{3}{5}F) \\ G=\frac{5}{3}D-(\frac{5}{3})(\frac{3}{5}F) \\ G=\frac{5}{3}D-F \end{gathered}\)Final Answer\(G=\frac{5}{3}D-F\)A submarine dives to a depth of 3775 m. It then climbs to a depth of 1395 m before descending one more time to a depth of 2890 m. How many meters in total has the submarine dived? What is the total distance (up and down) it has travelled? (Include the first descent in your calculations).
Step-by-step explanation:
3775 + 2890-1395 = total diving meters = 5270 m
Total movement = 3775 + ( 3775 - 1395 ) + (2890 - 1395 ) = 7650 m
2(n - 3) < - 13 + 2n
Answer:
yjth
Step-by-step explanation:
Answer:
7/4 = n
1.75 = n
Explination:
2(n - 3) < -13 + 2n
distributive property
2n - 6 < -13 + 2n
inverse operations
2n - 6 < -13 + 2n
+2n +2n
left side would cancel out/right side would add 2n
-6 < -13 + 4n
add 13 on both sides
-6 < -13 + 4n
+13 +13
-13 and 13 cancel each other out/ -6 + 13 = 7
7 < 4n
divide by 4
7 < 4n
--- ---
4 4
4/4 = 0, so it is n by itself. 7/4 = 1.75
Integrala x la a treia ori ln la a doua dx va rog
I don't speak Romanian, but the closest translation for this suggests you're trying to compute
\(\displaystyle \int x^3 \ln(x)^2 \, dx\)
Integrate by parts:
\(\displaystyle \int x^3 \ln(x)^2 \, dx = uv - \int v \, du\)
where
u = ln(x)² ⇒ du = 2 ln(x)/x dx
dv = x³ dx ⇒ v = 1/4 x⁴
\(\implies \displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac12 \int x^3 \ln(x) \, dx\)
Integrate by parts again:
\(\displaystyle \int x^3 \ln(x) \, dx = u'v' - \int v' du'\)
where
u' = ln(x) ⇒ du' = dx/x
dv' = x³ dx ⇒ v' = 1/4 x⁴
\(\implies \displaystyle \int x^3 \ln(x) \, dx = \frac14 x^4 \ln(x) - \frac14 \int x^3 \, dx\)
So, we have
\(\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac12 \left(\frac14 x^4 \ln(x) - \frac14 \int x^3 \, dx \right)\)
\(\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac18 \int x^3 \, dx\)
\(\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac18 \left(\frac14 x^4\right) + C\)
\(\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac1{32} x^4 + C\)
\(\boxed{\displaystyle \int x^3 \ln(x)^2 \, dx = \frac1{32} x^4 \left(8\ln(x)^2 - 4\ln(x) + 1\right) + C}\)
20 dogs decreased by 20%
Answer:
15 DOGGGSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Step-by-step explanation:
PLSS HELP
GIVING 36 POINTS
Answer:
a
Step-by-step explanation:
the data is represented in the dot plot
Answer:
answer is 77.67
Step-by-step explanation:
explain by the x axis is 68 to y axis is 84 so the median is 77.67
Which ordered pair
describes a point
with location in the
second quadrant?
A. (-6, -5)
B. (-6, 5)
C. (6, 5)
D. (6, -5)
Answer:
B) (-6,5)
Step-by-step explanation:
Quadrant I: (+,+)
Quadrant II: (-,+)
Quadrant III: (-,-)
Quadrant IV: (+,-)
I need the answer ASAP, I can’t find a single person who has the same problem (I’m not very good at math)
Answer:
4
Step-by-step explanation:
3(-5x-5) + 19x = _x - 15
-15x-15+19x = _x - 15
4x - 15 = _x - 15
It has to be the same on both sides so 4 would go in that blank.
Answer: 4
Step-by-step explanation:
Which of the following statements is true regarding that equation |x+3|-2=k?
The true statement is if k = - 1 there are solutions, but if k = - 3 there are no solutions
How to determine which statement is true regarding the equation |x+3|-2=k?
Given: |x+3|-2=k
Below are rules for solving absolute value equations:
1. If p is positive and |y| = p, then
x = p OR y = -p
(two equations are set up)
2. If p is negative and |y| = p, then
No solution
3. If p is zero and |y| = p, then
One solution
Using the rules:
|x+3|-2=k
when k = -1
|x+3|-2= -1
|x+3| = 1
Rule 1 is applicable here. Thus, there are solutions
when k = -3
|x+3|-2 = -3
|x+3| = -1
Rule 3 is applicable here. Thus, no solution
Therefore, if k = - 1 there are solutions, but if k = - 3 there are no solutions. The 2nd option is the true statement
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A theater wants to build movable steps that they can use to go on and off the stage. They want the steps to have enough space inside so they can also be used to store props.
The required amount of the space available is 0.045 cubic meter.
We need to determine Space inside the steps.
What is volume?The Volume is defined as the mass of object per unit density.
The required space = 0.3*0.4*0.5 - 0.15*0.5*0.2
= 0.06 - 0.015
= 0.045 cubic meter
Hence, the required amount of the space available will be 0.045 cubic meter.
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Butch has a collection of 80 vinyl records from throughout the 20th century including nine from the 40s, two from the 50s, nine from the 60s, eight from the 70s, and 16 from the 80s. If he randomly selects one from his collection of 80, find the probability it will be from each of the following decades. (Type an integer or simplified fraction)
The probability that outcome of vinyl records is from each decades are-
P(40s) = 9/80; P(50s) = 1/40 ; P(60s) = 9/80; P(70s) = 1/10; P(80s) = 1/5.
Explain about the probability?A probability is a tabular representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages spanning from 0% up 100% can be used to describe probabilities.
Given data for the collection of records:
40s - 950s - 260s - 970s - 880s - 16Total records = 80
probability = favourable outcome / total outcome
Thus, the probability that outcome is from each decades denoted by P.
P(40s) = 9/80
P(50s) = 2/80 = 1/40
P(60s) = 9/80
P(70s) = 8/80 = 1/10
P(80s) = 16/80 = 1/5
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please need help on this question
Answer:
..
Step-by-step explanation:
You are given the great circle of a sphere is a length of 25 miles. What is the volume of the sphere
The volume of the sphere is approximately 3431.82 cubic miles.
To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.
In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.
C = 2πr
60 = 2πr
Divide both sides of the equation by 2π:
r = 60 / (2π)
r = 30 / π
Now that we have the radius, we can use the formula for the volume of a sphere:
V = (4/3)πr³
V = (4/3)π(30/π)³
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)(27000/π²)
V = (4/3)(27000/9.87) (approximating π to 3.14)
V ≈ 3431.82 cubic miles
Therefore, the volume of the sphere is approximately 3431.82 cubic miles.
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Question
You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?
Procedure: Pick a number. Add 5 to the number and multiply the sum by 3. Subtract 7 and then decrease this difference by the triple of the original number.
Answer:
(3n +8) -3n = 8
Step-by-step explanation:
You have the difference (3n+15) -7, and you want its value when it is decreased by the triple of the original number (n).
Triple the numberThe phrase "triple the original number" will be translated to 3n. This is the value you want to subtract.
(3n +15) -7 = 3n +8 . . . . . "the difference"
(3n +8) -3n = 8 . . . . . . . . "decreased by triple the original number"
This simplifies to 8, which is the point of the exercise: showing the sequence of steps always gives a value of 8.