1/5 is 60% of what number
1/5 = 60/100 * x
1/5 * 100/60 = x
100/300 = x
1/3 = x
Answer:
[tex] \frac{1}{3} [/tex]
Step-by-step explanation:
According to what we know, one-fifth is 60% of a number. Let us call that unknown number x. Since
[tex] \frac{1}{5} = 60\% \: \\ then \\ x = 100\%[/tex]
60% as a fraction is 6/10 or 3/5, in that case 100% as a fraction would be 5/5.
Recall: 60% = 3/5 and 100% = 5/5
therefore:
1/5 = 3/5
x = 5/5
note in order to find the value of x we cross multiply*
[tex] \frac{1}{5} ( \frac{5}{5}) = \frac{3}{5} x[/tex]
[tex] \frac{1}{5} = \frac{3}{5} x \\ \\ \frac{ \frac{1}{5} }{ \frac{3}{5} } = \frac{ \frac{3}{5} }{ \frac{3}{5} } x \\ \\ \frac{1}{5} \times \frac{5}{3} = x[/tex]
[tex] \frac{1}{3} = x[/tex]
Use rules of transformations to answer each of the items below. Be sure to answer in complete sentences, and when necessary, include your calculations. Create your own set of coordinates for △ B L U and graph it on a coordinate plane. Label each of the triangle's vertices. Write a scenario involving the dilation of △ B L U onto its image. In the scenario, include the scale factor between the similar triangles and the coordinates for the image. Graph the image on the same coordinate plane as its pre-image. Use the distance formula or Pythagorean Theorem to prove mathematically that △ B L U is similar to its image. Include all necessary calculations.
Answer:
We choose the coordinates (4,4), (4,10), and (8,4) as the vertices of right-angle triangle ABCWe want to dilate triangle ABC by scale factor of 2
Step-by-step explanation:
Element X decays radioactively with a half life of 14 minutes. If there are 310 grams
of Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 5 grams?
y = a(.5) /
Answer:
83.4
Step-by-step explanation:
i need help with 7th grade math please need help ASAP + brainleist
Step-by-step explanation:
the area of garden is 970.08
Answer:
970. 08 [tex]ft^2[/tex]
Step-by-step explanation:
The rose garden is made up of 2 shapes: rectangle and a half-circle.
1. We start by finding the area of the rectangle...
[tex]31*24[/tex]We get 744 [tex]ft^2[/tex]2. Then find the area of the half-circle
The area of a circle is [tex]\pi r^2[/tex]We need to divide it by half since we only have half the area [tex]\frac{\pi r^2}{2}[/tex]The question only gives us the diameter (24), to find the radius we divide by 2 to get 12Now plug 12 for r [tex]\frac{\pi(12^2)}{2}[/tex]Plug 3.14 for [tex]\pi[/tex], [tex]\frac{3.14(12^2)}{2}[/tex]Compute: 226.08 [tex]ft^2[/tex]3. Add the areas together
[tex]744 + 266.08[/tex]Finally, we have 970.08 [tex]ft^2[/tex]Joaquin estimates his score on his science test. Joaquin's estimate has a 3% error. His actual score on the science test is 91. What could be Joaquin's estimate? Choose all the correct answers. please go to the pic for the answer
Joaquin's estimate for his score on the science test can either be 93.73 or 88.27.
What is the estimate on the science test?
Percentage can be described as a fraction of an amount that is usually expressed as a number out of hundred.
Estimate of the score can either be greater than or less than 91.
Score estimate = (1.03 x 91) or (0.97 x 91) = 93.73 or 88.27.
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An item has a listed price of $30 . If the sales tax rate is 9% , how much is the sales tax (in dollars)?
Answer:
2.7$
Step-by-step explanation:
The zigzag crystal vase has height 20 centimeters. The cross sections parallel to the base are always rectangles that are 12 centimeters wide by 6 centimeters long.
Answer:
14440cm3
Step-by-step explanation:
Given ΔABC. Choose which of the following sides create a right triangle:
21
I. a=1.2,b=3.5,c=3.6
II. a=6,b=9.1,c=10.9
III. a=6,b=8,c=9
Answer:
II. a = 6 , b = 9.1 , c = 10.9
Step-by-step explanation:
I. a = 1.2 , b = 3.5 , c= 3.6
c² = a² + b²
3.6² = 1.2² + 3.5²
12.96 = 1.44 + 12.25
12.96 ≠ 13.69
These sides cannot create a right triangle.
II. a = 6 , b = 9.1 ,c = 10.9
c² = a² + b²
10.9² = 6² + 9.1²
118.81 = 36 + 82.81
118.81 = 118.81
Therefore, these sides can create a right triangle.
III. a = 6 , b = 8 , c = 9
c² = a² + b²
9² = 6² + 8²
81 = 36 + 72
81 ≠ 108
These sides cannot create a right triangle.
Which graph represents a circle whose equation is (x+3)² + (y-1)² = 4?
Answer:
A
Step-by-step explanation:
Equation describing a circle: (x - x0)^2 + (y - y0)^2 = r^2
(x0, y0) is the centrer is short for radiusThe given equation is: (x + 3)^2 + (y - 1)^2 = 4
=> (x - (-3))^2 + (y - 1)^2 = 2^2
Coordinates of the centre: (-3, 1)Radius: 2Therefore, the answer is A.
Joe has 5/6 cup of paint in a container. He uses 2/5 cup on a project then adds another 1/3 cup. How much paint does he have now?
Answer:
=23/30
Step-by-step explanation:
5/6-2/5
Multiply 5/6 by 5 and -2/5 by 6
25/30-12/30
25-12/30
=13/30
Then he adds another 1/3
=13/30+1/3
multiply 1/3 by ten
=13/10 + 10/30
=13+10/30
=23/30
5/6-2/5-1/3=23/30
Read the following stock quote. What is the current price of this stock?
IMAX Corporation (Nasdaq:IMAX)
16.04 0.49 (3.15%) 11:51am ET
$3.15
3.15 percent
$.49
$16.04
Answer:
$16.04
(see the answer for explanation)
Does anyone know the answer to X - 5y
Answer:
Slope is 1/5
y intercept is (0,0)
Captain Ashley has a ship, the H.M.S Crimson
Lynx. The ship is two furlongs from the dread
pirate Umaima and her merciless band of
thieves.
If her ship hasn't already been hit, Captain
1
Ashley has probability of hitting the pirate
2
ship. If her ship has been hit, Captain Ashley will
always miss.
If her ship hasn't already been hit, dread pirate
1
Umaima has probability of hitting the
3
Captain's ship. If her ship has been hit, dread
pirate Umaima will always miss.
If the Captain and the pirate each shoot once,
and the pirate shoots first, what is the probability
that both the pirate and the Captain hit each
other's ships?
On Saturday, Finley rode the bus from her apartment 3.35 miles to the city park
and then 2.51 miles to the library. On Sunday, Finley rode the bus 2.12 miles to thi
art museum. What is the total number of miles Finley rode the bus on Saturday
and Sunday?
The total number of miles Finley rode the bus on Saturday and Sunday is 7.98 miles
Calculating distanceFrom the question, we are to determine the total distance travelled by Finley on Saturday and Sunday
From the given information,
On Saturday, Finley rode the bus from her apartment 3.35 miles to the city park and then 2.51 miles to the library
Total distance travelled on Saturday = 3.35 miles + 2.51 miles
Total distance travelled on Saturday = 5.86 miles
Also,
On Sunday, Finley rode the bus 2.12 miles to the art museum
Total distance travelled on Sunday = 2.12 miles
∴ Total distance travelled on Saturday and Sunday = 5.86 miles + 2.12 miles
Total distance travelled on Saturday and Sunday = 7.98 miles
Hence, the total number of miles Finley rode the bus on Saturday and Sunday is 7.98 miles.
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Find the value of D of a square and the sides are 4 n 4 n 4 n 4 and D is diagonal
Answer:
D = 4√2Step-by-step explanation:
Formula:
In a square with sides each of length ‘a’ :
The diagonal D of the square = a√2
…………………………………………………………
The square ,in our example has 4 sides all of Length 4 ,then
D = 4√2
Find the Mean Absolute Deviation (MAD) of the following test scores.
Remember, the Mean is just the first step.
Scores:
{ 48, 61, 73, 76, 76, 74 }
Based on the calculation below, the Mean Absolute Deviation (MAD) of the test scores is 0.
How to calculate Mean Absolute Deviation (MAD)The mean of the 6 test scores is first calculated as follows:
Mean = Sum of the test scores / Number of test scores = (48 + 61 + 73 + 76 + 76 + 74) / 6 = 68
We can now calculate the MAD of the test scores as follows:
MAD = Sum of deviations of all the test scores from the Mean / Number of test scores = ((48 - 68) + (61 – 68) + (73 – 68) + (76 – 68) + (76 – 68) + (74 – 68)) / 6 = 0 / 6 = 0
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Solve the following porportion.
x/25 = 2/5 x=
=========================================
Work Shown:
x/25 = 2/5
5x = 25*2
5x = 50
x = 50/5
x = 10
------------
Another approach:
x/25 = 2/5
x/25 = (2*5)/(5*5)
x/25 = 10/25
x = 10
------------
Yet another method:
x/25 = 2/5
x/25 = 0.4
x = 25*0.4
x = 10
The radius of a circle is 10 m. Find its area to the nearest whole number.
I need help rn it’s a final I need it asap
radius= 10 m
to find:the area of the given circle.
solution:[tex]a = \pi {r}^{2} [/tex]
[tex]a = \pi \times {10}^{2} [/tex]
[tex]a = 314.15927 \: {m}^{2} [/tex]
[tex]a = 314 \: {m}^{2} [/tex]
therefore, the area of the given circle is 314 square meters.
[tex]\large\boxed{Formula: a= \pi{r}^{2}}[/tex]
In this question raduis is given so we'll simply have to solve.
Let's solve!
The area of a circle is π times the radius squared.
Substitute the values according to the formula.
[tex]a= \pi \times {10}^{2}[/tex]
[tex]a= 314.1592654 \: {m}^{2}[/tex]
Now, we can round off to the nearest whole number.
The value in tenths place is less than 5 so we won't have to round up.
Final answer:
[tex]\large\boxed{a= 314 \: {m}^{2}}[/tex]
Hence, the area of the circle given in the question is 314 square inches to the nearest whole number.
Clare ran 8/5 as far as jada, Tyler ran 4/3 as far as jada, and Kim ran 1/2 as far as jada. Order the students from least to greatest by order of the distance they ran
1/2,4/3,8/5
Step-by-step explanation:
when u find the lowest you will see that 8/5 and 4/3 have a higher numerator and when you simplify that u will get to 8/5=1 18/30and 1/2=1 and 1/3bwhuch gets you to the lowest
x-3<9 this is a inequalite question
- - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
x-3<9
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]
✩ First, add 3 on both sides:-
[tex]\it{x < 9+3}[/tex]
Which results in
[tex]\it{x < 12}[/tex]
So the values of x less than 12 will make this inequality true.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
After rolling a fair 20-sided die 200 times The observed or experimental probability of rolling a 20 was 25% what will happen to the probability of rolling a 20 if the dye is ruled 10,000 more times
Answer:
Step-by-step explanation:
The theoretical probability of getting a 20 in 1 throw is 1/20 = 5%.
The more times you roll the dye the closer the experimental probability moves to the theoretical.
So the probability will get less than 25% and get closer to the theoretical 5%.
If the die is rolled 10,000 more times, we can expect the experimental probability of rolling a 20 to be close to 500/10,000, which simplifies to 0.05 or 5%.
We have,
The probability of rolling a 20 on a fair 20-sided die is 1/20 or 0.05.
If the die is rolled 200 times and the observed probability of rolling a 20 is 25%,
We can calculate the number of times a 20 was actually rolled as follows:
Number of times a 20 was rolled
= Observed probability × Number of rolls
= 0.25 × 200
= 50
So, out of 200 rolls, 20 were rolled 50 times.
Now, if the die is rolled 10,000 more times, we can use the law of large numbers to expect the experimental probability of rolling a 20 to approach the true probability of 0.05.
The expected number of times a 20 will be rolled in 10,000 rolls is:
The expected number of times a 20 will be rolled
= Probability of rolling a 20 × Number of rolls
= 0.05 × 10,000
= 500
Therefore,
If the die is rolled 10,000 more times, we can expect the experimental probability of rolling a 20 to be close to 500/10,000, which simplifies to 0.05 or 5%.
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All computers are on sale for 10% off the original price.
If x is the original price of the computer, then the function that represents the price after only a 10% discount is:
P(x) = x - 0.1x
P(x) = 0.9x
The function that gives the price, C, if only a $150 coupon is used is:
C(x) = x - 150
Choose the composition function that gives the final sale price after a 10% discount is followed by a $150 coupon.
C(P(x)) = 0.9x – 150
P(C(x)) = 0.9x – 150
C(P(x)) = 1.9x – 150
P(C(x)) = 1.9x – 150
Brainliest for the right answer, anyone? :p
Find the midpoint M of the line segment joining the points P = (-2, -4) and Q = (-6, -8).
Answer:
(-4,-6)
Step-by-step explanation:
For x, the middle point between -2 and -6 is -4
for y the middle point between -4 and -8 is -6
A gym has an enrollment fee of $80. There is also a $25 fee per month of membership.
This is like a linear equation, (y = mx + b) where the cost per month is 25, and our b is the 80 to join in the first place:
y = 20x + 80
You did not share how much was paid for the membership, but if you put the total cost into y, then you can solve for x. Or you can find the total cost by entering in the number of months for x.
Answer:
Equation given
80+25(y)=x
y= Per month(So the amount of months that passed)
x=Total amount
How can these models be used to find the sum 1.8 + 1.56?
Enter your answers in the boxes.
The models show a total of 2 wholes,
tenths, and
hundredths. After regrouping 10 tenths into 1 whole, there are
wholes,
tenths, and
hundredths. Therefore, the sum of the numbers is
.
First row. One large square divided into a 10 by 10 grid of 100 small squares. Eight columns, each divided into 10 small squares. Second row. One large square divided into a 10 by 10 grid of 100 small squares. Five columns, each divided into 10 small squares. Six small squares.
Answer:
The sum of 1.8 and 1.56 is 3.36 according to the model
Sum of decimals
Given the expression 1.8 + 1.56
Using the partial sum method
1.8 + 1.56 = (1.0 + 0.8) + (1.0+0.56)
Regroup as whole and decimal number
1.8 + 1.56 = (1.0 + 1.0) + (0.8 +0.56)
1.8 + 1.56 = 2.0 + 1.36
1.8 + 1.56 = 3.36
Hence the sum of 1.8 and 1.56 is 3.36 according to the model
capital gross is calculated by doing...
A)selling price-purchase price
B)purchase price-selling price
The capital gross is calculated by doing subtracting purchase price from selling price option first “selling price-purchase price” is correct.
What is capital gross?The entire value of gross fixed capital formation, changes in inventories, and acquisitions less disposals of assets for a unit or sector is used to calculate gross capital formation.
As we know, deducting the asset's or portfolio's acquisition price from the selling price yields the capital gain formula.
Thus, the capital gross is calculated by doing subtracting purchase price from selling price option first “selling price-purchase price” is correct.
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Kasha has a spinner divided into 8 equal sections that are labeled 1 though 8. She wants to compare the theoretical probability and
the experimental probability of spinning an odd number. She spins the spinner 10 times and records the results in this list.
{2, 4, 1, 8, 7,5, 3, 4, 1,5}
Drag and drop the answers into the boxes to correctly complete the sentences
The theoretical probability of spinning an odd number is equal to
The experimental probability of spinning an odd
number is equal to
Therefore, the theoretical probability of spinning an odd number is
the
experimental probability of spinning an odd number
3
5
greater than
less than
The theoretical probability = [tex]\frac{1}{2}[/tex], The experimental probability = [tex]\frac{3}{5}[/tex]
Less than
What is experimental probability?The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.
The theoretical probability of spinning and odd number = [tex]\frac{4}{8}[/tex] = [tex]\frac{1}{2}[/tex]
The experimental probability =[tex]\frac{6}{10}[/tex] = [tex]\frac{3}{5}[/tex]
Since [tex]\frac{1}{2}[/tex]< [tex]\frac{3}{5}[/tex]
So, the theoretical probability less than the experimental probability.
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what is the mean age of a girl on the swimming team?
Answer:
15Step-by-step explanation:
what is the mean age of a girl on the swimming team?
adding the number of girls together and then dividing by the number of girls
(15 + 17 + 19 + 12 + 14 + 18 + 12) : 7 =
107 : 7 = 15.28 (you can round at 15)
Can someone help me with this please?
f hi I chhiring Tamang I read in hdidieje
5y3 – 4y – 1
Leading term:
Leading coefficient:
Constant term:
Answer:
Leading term:
5y^3
Leading coefficient:
5
Constant term:
-1
Step-by-step explanation:
5y^3 -4y -1
The leading term is the term with the highest power of the variable
5y^3 is the leading term
the leading coefficient is the number in front of the highest power of the variable
5 is the leading coefficient
The constant term is the number alone
-1 is the constant term