If PQR~STU, what is the scale factor of PQR to STU? QR=20 and TU=4.
i have 2mins left. help!!!
Answers
we know that
If PQR~STU
then
scale factor of [PQR/ STU]=(QR/TU)=(PQ/ST)=(PR/SU)
QR=20
TU=4
(QR/TU)=20/4=5/1
the answer is (5/1)
Related Questions
What is the median of the following set?
28, 45, 12, 34, 36, 45, 19, 20
28
34
31
35
Answers
Answer:
Median = 31
Step-by-step explanation:
The median is the middle number which comes after arranging the set in ascending order.
Here, the given data is: 28, 45, 12, 34, 36, 45, 19, 20
The data arranged in the ascending order is as follows:
12, 19, 20, 28, 34, 36, 45, 45
Since the number of terms is even, we have two middle numbers, viz.,
28 and 34
The median would be the average of these two.
Therefore, Median = [tex]$ \frac{28 + 34}{2} $[/tex]
= 31
The answer is 31.
The median of the set 28, 45, 12, 34, 36, 45, 19, 20 is 31.
To find the median of a set of numbers, you should first arrange the numbers in ascending order and then locate the middle number.
If there is an even number of terms, the median is the average of the two middle numbers. Let's do that with the given set: 28, 45, 12, 34, 36, 45, 19, 20.
Sort the numbers: 12, 19, 20, 28, 34, 36, 45, 45.Find the middle: Since there are 8 numbers (an even amount), the median will be the average of the 4th and 5th numbers.Calculate the median: (28 + 34) / 2 = 31.Therefore, the median of the given set is 31.
you have a large container of olive oil. You have used 22 1/2 quarts of oil. Twenty-five percent of the olive oil remains. How many quarts of olive oil remain?
Answers
Solution:
we are given that
You have a large container of olive oil. You have used [tex]22 \frac{1}{2}[/tex] quarts of oil.
Twenty-five percent of the olive oil remains.
we have been asked to find how many quarts of olive oil remain?
Let there were x quarts of olive oil.
It mean , we can write
[tex]x-22 \frac{1}{2}=\frac{1}{4}*x[/tex]
[tex]x-\frac{1}{4}*x=22 \frac{1}{2}[/tex]
[tex] \frac{3x}{4}=22 \frac{1}{2}[/tex]
[tex] 3x=4*22 \frac{1}{2}[/tex]
[tex] x=\frac{4}{3}* \frac{45}{2}[/tex]
[tex] x=30[/tex]
Hence quarts of olive oil remain [tex] =30-\frac{45}{2}=\frac{15}{2}=7\frac{1}{2}[/tex]
What is the sum of the arithmetic series below? Use the formula for the sum of an arithmetic series.
Answers
Answer: The required sum is 504.
Step-by-step explanation: We are given to find the sum of the following arithmetic series using the formula for the sum of an arithmetic series :
[tex]\sum_{i=1}^{18}(2i+9).[/tex]
The given arithmetic series can be written, in expanded form, as follows :
[tex]11+13+15+17+~.~.~.~+43+45.[/tex]
We know that
the sum of first n terms of an arithmetic series with first term a and common difference d is given by
[tex]S=\dfrac{n}{2}\{2a+(n-1)d\}.[/tex]
In the given series, a = 11 and d = 13 - 11 = 15 - 13 = . . . =2.
Therefore, the sum up to 18 terms will be
[tex]S_{18}=\dfrac{18}{2}\{2\times 11+(18-1)\times2\}=9(22+34)=9\times56=504.[/tex]
Thus, the required sum is 504.
The sum of the arithmetic series ∑₁¹⁸(2i + 9) using the arithmetic series formula is 504.
To find what is the sum of the arithmetic series ∑₁¹⁸(2i + 9) below using the formula for the sum of an arithmetic series, we proceed as follows
The formula for the sum of therms of an arithmetic series is given by
Sₙ = n/2(a + Tₙ) where
n = number of termsa = first term and Tₙ = last termNow, since we have that arithmetic series, ∑₁¹⁸(2i + 9), the nth terms is U = 2i + 9
Now, the first term is when i = 1.
So, U₁ = a = 2(1) + 9
= 2 + 9
= 11
Also, the last term is when i = 18
So, U₁₈ = T₁₈ = 2(18) + 9
= 36 + 9
= 45
So, the sum of terms Sₙ is when n = 18
S₁₈ = 18/2(11 + 45)
= 9(56)
= 504
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A school sold small and large boxes of fruit for a fundraiser. One student sold 5 small boxes and 13 large boxes for $232. Another student sold 12 small boxes and 7 large boxes for $218. Their sales can be represented in two equations where x represents the price of the small boxes and y represents the price of the large boxes. Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? Check all that apply.
1 The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.
2 The first equation can be multiplied by 5 and the second equation by 12 to eliminate x.
3 The first equation can be multiplied by –7 and the second equation by 13 to eliminate y.
4 The first equation can be multiplied by 7 and the second equation by –13 to eliminate y.
5 The first equation can be multiplied by 12 and the second equation by –5 to eliminate x.
6 The first equation can be multiplied by 7 and the second equation by 13 to eliminate y.
Answers
Answer:
A,C,D,E
Step-by-step explanation:
An equation is formed of two equal expressions. The correct options are 1, 3, 4, and 5.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that One student sold 5 small boxes and 13 large boxes for $232. Another student sold 12 small boxes and 7 large boxes for $218. Also, x represents the price of the small boxes and y represents the price of the large boxes. Therefore,
The equation for the first student can be written as,
5x + 13y = 232
The equation for the second student can be written as,
12x + 7y = 218
Now, the multiplication that can be done to eliminate the variables are,
1.) The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.
3.) The first equation can be multiplied by –7 and the second equation by 13 to eliminate y.
4.) The first equation can be multiplied by 7 and the second equation by –13 to eliminate y.
5.) The first equation can be multiplied by 12 and the second equation by –5 to eliminate x.
Hence, the correct options are 1, 3, 4, and 5.
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Sayed gave an answer of 6 6/7 for the problem 4 2/7 x 1 3/5. using estimates, is this a reasonable answer?
Answers
His estimation is correct
Explanation:
First, we will convert the mixed number to fractions as follows:
4[tex] \frac{2}{7} [/tex] = [(7*4)+2] / 7 = [tex] \frac{30}{7} [/tex]
1[tex] \frac{3}{5} [/tex] = [(5*1)+3] / 5 = [tex] \frac{8}{5} [/tex]
Then, we will do the multiplication as follows:
[tex] \frac{30}{7} [/tex] * [tex] \frac{8}{5} [/tex]
= [tex] \frac{30*8}{7*5} [/tex]
= [tex] \frac{240}{35} [/tex]
= [tex] \frac{48}{7} [/tex]
Finally, converting the [tex] \frac{48}{7} [/tex] into a mixed number, we will find that it is equivalent to 6[tex] \frac{6}{7} [/tex]
Hope this helps :)
Write two equivalent fractions for 2/3
Answers
and 10/15
They both equal 2/3 when they reduce
Hope this helped you:)
What is the expression of one less than the quotient of four and a number x
Answers
I hope this helped! :-)
Two events, X and Y, are independent of each other. P(Y) = 5/6 and P(X and Y) = 1/3. What is P(X) written as a decimal? Round to the nearest tenth, if necessary.
Answers
P(X ∩ Y) = P(X)* P(Y)
=>
1/3 = P(X)*(5/6)
solve for P(X) =>
P(X) = (1/3)*(6/5) = 2/5 = 0.4
Answer:option C
Step-by-step explanation: edge
Solve the equation. 9 = –d + 17
Answers
Answer:
d = 8
Step-by-step explanation:
Since the variable appears on only one side of the equation, all terms not containing the variable can be eliminated from that side by adding their opposite to both sides of the equation. That is, add -17 to both sides of the equation:
9 -17 = -d + 17 - 17
-8 = -d . . . . . simplify
Now, the equation can be multiplied by a number that will give "d" on one side of the equation. Here, that number is -1. Multiply both sides of the equation by -1:
(-1)(-8) = (-1)(-d)
8 = d . . . . . simplify
The solution is d = 8.
Answer:
8
Step-by-step explanation:
[tex]9= -d +17\\9-17= -d +17- 17 \\-8/-1 = -d/-1\\8 = d[/tex]
Which is greater 9/8ths or 2 halves?
Answers
The correct answer is [tex]\frac{9}{8}[/tex] is greater than 2 halves.
To compare 9/8ths and 2 halves, we need to convert them to equivalent fractions with the same denominator, and then compare their numerators.
[tex]\text{Step 1: Convert 2 halves to an equivalent fraction with the denominator of 8}[/tex]
[tex]2\text{ halves} = 2 \times \left(\frac{4}{8}\right) = \frac{8}{8}[/tex]
[tex]\text{Step 2: Compare the numerators of }\frac{9}{8}\text{ and }\frac{8}{8}[/tex]
[tex]\text{Since }9 > 8\text{, therefore, }\frac{9}{8} > \frac{8}{8}[/tex]
Therefore, [tex]\frac{9}{8}[/tex] is greater than 2 halves.
A gift box in the shape of a triangular prism has a volume of 36 cubic inches, a base height of 4 inches, and a height of 3 inches. What is the length of the base?
Answers
Answer:
6 inches is the base
Step-by-step explanation:
So you have to think back to what the formula to volume is. From there plug in numbers until you get your answer
Which metric unit of measurement is best to use to describe the height of a tree
A kilometers
B millimeters
C liters
D meters
Answers
Is 2 miles greater too 3,333 yards or is 3,333 yards greater than 2 miles?
Answers
So 2 miles is greater than 3,333 yd
Hope this helps:D
have a great rest of a brainly day!
"AB84"
What is the quotient? n+3/2n-6 divide n+3 /3n-9
Answers
The quotient simplifies to
[tex] \frac{3}{2} [/tex]
EXPLANATION
We want to find the quotient:
[tex] \frac{n + 3}{2n - 6} \div \frac{n + 3}{3n - 9} [/tex]
We need to multiply the first fraction by the reciprocal of the second fraction to obtain,
[tex]\Rightarrow \frac{n + 3}{2n - 6} \div \frac{n + 3}{3n - 9} = \frac{n + 3}{2n - 6} \times \frac{3n - 9}{n + 3} [/tex]
We now factor to obtain,
[tex]\Rightarrow\frac{n + 3}{2n - 6} \div \frac{n + 3}{3n - 9} = \frac{n + 3}{2(n - 3)} \times \frac{3(n - 3)}{n + 3} [/tex]
We cancel out common factors to obtain,
[tex] \Rightarrow\frac{n + 3}{2n - 6} \div \frac{n + 3}{3n - 9} = \frac{1}{2} \times \frac{3}{1} [/tex]
This finally gives us,
[tex] \frac{n + 3}{2n - 6} \div \frac{n + 3}{3n - 9} = \frac{3}{2} [/tex]
5 hours 8 min - 3 hours 12 min
Answers
Here is your answer:
The proper answer is "2.68".
First translate the question:
5 hours and 8 min=5.8
3 hours 12 min=3.12
Now subtract:
5.8-3.12=2.68
Your answer is 2.68!
If you need anymore help feel free to ask me!
Hop this helps!
Steve opened a bank account.he plans to deposit $35 every month.write an equation that models the total amount of money,t,deposited after m months
Answers
A pizza parlor uses square prisms for their pizza boxes. Due to the crust rising, the height of their boxes is always 2 inches. Additionally, the volume of the pizza box must be 450 cubic inches to fit their standard-sized pizza. A worker determined that the equation below could be used to find the side length, x, of the box needed to reach that volume.
Answers
Volume = Length * Breadth * Height
Volume of box = 450 cubic inches
Height of box = 2 inches
Length of box = x
Since it is a square prism, Breadth = Length = x
Therefore,
Volume = Length * Breadth * Height
⇒ 450 = 2 * x * x
⇒ 450 = 2x²
⇒ 2x² = 450
Divide the equation by 2
2x²/2 = 450/2
x² = 225
⇒√x² = √225
x = 15
The side length of the box is 15 inches
Answer:
The solutions are -15 and 15, but only 15 is a reasonable side length.
Step-by-step explanation:
Got it right on the test.
Which sum is equal to 7/12?
A. 1/12 + 1/12 + 1/12 +1/12 + 1/12 + 1/12 +1/12
B. 1/7 + 1/7 + 1/7 +1/7 +1/7 + 1/7 + 1/7
C. 1/12 + 1/12 + 1/12 + 1/12 + 1/12 + 1/12 + 1/12 + 1/12 + 1/12 + 1/12 + 1/12 + 1/12
D. 1/7 + 1/7 + 1/7 + 1/7 + 1/7 + 1/7 + 1/7 + 1/7 + 1/7 + 1/7 + 1/7 + 1/7 +
Answers
There are 7 1/12ths, so it is equal to 7/12
Answer:
The answer is A.
Step-by-step explanation:
There are 7 1/12ths, so it is equal to 7/12
contractor A estimated a job would cost $54,000 to complete in 90 days. contractor B estimated he could complete the same job for $49,500 in 120 days. how much per day does each contractor charge
Answers
Contractor A estimated a job would cost $54,000 to complete in 90 days.
Per day charge of Contractor A = $54,000 / 90 = $ 600 / day
Contractor B estimated he could complete the same job for $49,500 in 120 days.
Per day charge of Contractor A = $49,500 / 90 = $ 412.50 / day
Therefore, Contractor A charges $ 600 per day and contractor B charges $412.50 per day.
Hope it helps..!!
Thank You :)
In order to survive, organisms must maintain stable conditions in their bodies, even though their external environments are always changing.
For example, humans need to maintain an internal temperature around 37°C. Blood needs to have a pH around 7.4 and an oxygen saturation close to 100%.
What needs to happen in order to maintain these conditions?
A) Organ systems must interact with one another.
B) Organisms must be at rest.
C) Genes must be altered each time cells replicate.
D) All of these.
Answers
Answer:
A) Organ systems must interact with one another.
Organ systems must interact with one another.
Paysly is studying a mosquito with a mass of 2.5×10−62.5×10-6 kilograms and a housefly with a mass of 2×10−52×10-5 kilograms. Which statement is true?
The mosquito is 88 times the mass of the housefly.
The housefly is 88 times the mass of the mosquito.
The housefly is 1010 times the mass of the mosquito.
The mosquito is 1010 times the mass of the housefly.
Answers
In standard form, the mass of the mosquito is given by 0.0000025. The mass of the housefly is given by 0.00002. Since it is a larger number, we will divide this by the mass of the mosquito to find how many times bigger it is:
0.00002/0.0000025 = 8
Answer: The house fly is 8 times the mass of the mosquitio
What words can you use to read 14.895
Answers
Engineers must consider the breadths of male heads when designing motorcycle helmets. men have head breadths that are normally distributed with a mean of 6.0 in and a standard deviation of 1.0 in. (based on anthropometric survey data from gordon, churchill, et al.). if one male is randomly selected, find the probability that his head breadth is less than 6.2 in. use 4 decimals for your answer.
Answers
Answer: 0.9772 (the answer above wasn't the right one;)
Using z-score formula, the probability that a male's head breadth is less than 6.2 inches, would be approximately 57.9261%.
What is z-score formula?When you have multiple samples and want to describe the standard deviation of those sample means (the standard error), you would use this z score formula:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
This z-score will tell you how many standard errors there are between the sample mean and the population mean.
We have been given that men have head breadths that are normally distributed with a mean of 6.0 inches and a standard deviation of 1.0 inches. We are asked to find the probability that a man's breadth is less than 6.2 inches.
First of all, we will find z-score corresponding to sample score of 6.2 as:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
where,
z = Z-score,
x = Sample score,
[tex]\mu[/tex] = Mean,
[tex]\sigma[/tex] = Standard deviation.
Upon substituting our given values in z-score formula, we will get:
[tex]z=\frac{6.2-6.0}{1.0}[/tex]
[tex]z=\frac{0.2}{1.0}[/tex]
z = 0.2
Now, we need to find the probability that a z-score is less than 0.2.
Using normal distribution table, we will get:
P(z < 0.2) = 0.57926
0.579261 ≈ 57.9261 %
Therefore, the probability that a male's head breadth is less than 6.2 inches, would be approximately 57.9261%.
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Suppose a family starts out 50 miles from home at time t = 0. They travel away from home at a constant speed of 45 miles an hour. What's the equation that tells you how far they'll be from home t hours later? (Assume d is distance in miles.) A. d = 45t + 50 B. d = 45t C. d = 50t D. d = 50t + 45
Answers
45 miles each 1 hour
A. d= 45•t+50
At time = 1 hour , d = 50 + 45(1)
At time = 2 hours, d = 50 + 45(2)
So its d = 50 + 45t or d = 45t + 50
Choice A is the correct one.
A map of Scotland is drawn to scale of 1:325,000.
how many CM on the map would show 65KM?
Answers
converted to metres 1 cm shows 3250 metres
converted to km 1 cm shows 3.25 km
so to show 65 km
65/3.25 which gives 20 cm
On a map of Scotland, drawn to the scale of 1:325,000, 65 KM of real-world distance will be represented by 20 cm on the map.
Explanation:The question pertains to the scale existing on a map. A map scale enables us to convert the measurements on the map into the corresponding real-world distances. Here, we have a map of Scotland that is drawn to the scale of 1:325,000. This signifies that 1 cm on the map equates to 325,000 cm in reality.
To ascertain how many cm on the map would represent 65 KM, we first need to convert 65 KM into cm. As we know, 1 KM is equal to 100,000 cm. Therefore, 65 KM will be equivalent to 65 * 100,000 = 6,500,000 cm.
Now, we divide the real-world cm (6,500,000 cm) by the scale (325,000), which gives us the cm on the map. Thus, 6,500,000 cm / 325,000 = 20 cm
So, on this map, 65 KM will be denoted by 20 cm.
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Round 6 4/9 to nearest whole number
Answers
4/9 is .44444 so round down not up
4/9 = 0.4444444 which is less than 0.5
The closest whole number is 6.
dividing mixed fractions
Answers
7/3 / 1/4 = 7/3 x 4/1 = 28/3 = 9 and 1/3
b) 4 2/5 = 22/5
1 1/5 = 6/5
22/5 / 6/5 = 22/5 x 5/6 = 110/30 = 3 and 2/3
Of the 180 days of school last year, Grace was absent 15 days. What percent of the day was she absent?
Answers
15 days represents. ?%
Cross multiply because they are in proportion
?%= 15•100/180= 8.333%
About 8 days she was absent
6 surfaces 2 small stand tall what shape
Answers
I hope this helps
Luca has a box of dog toys. There are 3 bones, 5 balls, and a stuffed animal. What is the ratio of balls to stuffed animals?
Answers
Hope this helps :)
Answer:
5.1
Step-by-step explanation:
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