Maggie makes a scale drawing of a deck. The scale for the actual deck to the scale drawing is 7 ft
to 1 in. The dimensions of the deck are 28 ft by 17.5 ft. What are the dimensions of the deck in the
drawing? Show your work.
Answer:
The width is 2.5 inches
Step-by-step explanation:
The given ratio is 7 ft to 1 in
Now we will have 17.5 to x in
x * 7 = 17.5 * 1
7x = 17.5
x = 17.5/7
x = 2.5 inches
There are 4 rows of seats in each of first class and business class and there are 32 rows of seats in economy class. How many rows of seats are there on the planes?
Answer:
4 + 4 + 32 = 40 rows
Step-by-step explanation:
A Gardner has 1 1/4 cubic feet of soil available for filling pots. Each pot will need 2/5 cubic foot to be filled. What is the greatest number of pots that the gardener fill
The greatest number of pots that can be filled is 3.
In order to determine the greatest number of pots that can be filled, the quantity of soil available would be divided by the capacity of each pot.
Number of pots that can be filled = 1 1/4 ÷ 2/5
= 5/4 ÷ 2/5
= 5/4 x 5/2 = 25/8 = 3 1/8
Thus, the greatest number of pots that can be filled is 3.
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simplify 5/13 ( 75 - 49)
Answer:
The answer is 10.
Step-by-step explanation:
I'm certain this is correct. :D
A girl has 7 skirts, 9 blouses, and 4 pairs of shoes. How many different skirt-blouse-shoe outfits can she wear
Answer: 252 i think i tried and i think its right
You need spoons, cones, and bowls for your store. The spoons come in packs of 100, cones come in packs of 60, and cups come
in packs of 80.
1. How many spoons, cones, and cups will you have if you order 8 packs of each?
2. How many customers will you be able to serve? Will every person need a cup, spoon, and a cone?
3. If you estimate that you will have 1500 customers next week, how would you change your order to make sure everyone can be served?
Step-by-step explanation:
Number 1
Number of spoons= no of boxes × individual no of spoons
= 100 × 8 = 800 spoons.
Number of cones = no of cones in a box × no of boxes
= 60 × 8 = 480
Number of cup = no of cups in a box × no of boxes
= 80 × 8 = 640.
Total = 800 + 480 + 640 = 1920
Number 2
If everyone needs a cup, spoon and cones, it means they all need 3 items.
no of people you can serve = 1920 ÷ 3
= 640 people.
A store pays $85 for a picnic table and marks the price up by 25%. What is the new price
For all horizontal lines the domain is
Answer: All real numbers
Step-by-step explanation:
It depends on if the horizontal line goes on infinitely but I'd assume it does. It should be all real numbers.
Simplify the expression 2.1(3.7 +5.7u) using the Distributive Property.
PLEASE HELP! :(
Answer:
7.77+11.97u
Step-by-step explanation:
2.1(3.7+5.7u)=7.77+11.97u
A pennant flag that is 2 inches high with a base of 1.5 inches has an area of 1.5 square inches. The
area of a triangle varies jointly with the base and height. Find the area of a flag whose base
measures 2 inches and height is 2.5 inches.
Answer:
2.5 sq. inches
Step-by-step explanation:
Explanation is given in the pic attached.
Area of triangle= 1/2* base* height
Hope this helps!
The area of the flag when the base is 2 inches and the height is 2.5 inches is 2.5 square inches
From the question, we understand that the area (A) of the flag varies jointly with the base (B) and the height (H)
This variation is represented as:
[tex]\mathbf{A\ \alpha\ B \times H}[/tex]
So, we have:
[tex]\mathbf{A\ \alpha\ BH}[/tex]
Express as an equation
[tex]\mathbf{A\ =k BH}[/tex]
When the area is 1.5 square inches, the base is 1.5 inches and the height is 2 inches, we have:
[tex]\mathbf{A\ =k BH}[/tex]
This gives
[tex]\mathbf{1.5\ =k \times 1.5 \times 2}[/tex]
[tex]\mathbf{1.5\ =k \times 3}[/tex]
Divide both sides by 3
[tex]\mathbf{\frac 12 =k }[/tex]
Rewrite as:
[tex]\mathbf{k = \frac 12}[/tex]
When the base is 2 inches and the height is 2.5 inches, we have:
[tex]\mathbf{A\ =k BH}[/tex]
This gives
[tex]\mathbf{A = \frac 12 \times 2 \times 2.5}[/tex]
[tex]\mathbf{A = 2.5}[/tex]
Hence, the area of the flag is 2.5 square inches
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in order to raise enough money to buy a travelling bag, Ebuta deposits the sum of $200 in a savings account for 2 years at 5% per month interest on the initial principal. How much will be accruing to him at the end of the period
Answer:
$200 times 5% = $10/MONTH
Step-by-step explanation:
$10 times 24 because theres 24 months in 2/YRS
$240 additional accruing funds at the end of the period!
evaluate 6^2 - (9 divided by x) when x = 3
Answer:
33
Step-by-step explanation:
Jessica's dog weighs 117 pounds. Her dog weighs 3 times as much as Evan's dog weighs.
How much does Evan's dog weigh?
Answer:
the answer is expkained below
Answer:
Evans dog would weigh 39 pounds
Step-by-step explanation:
117= 3 × X
Take 117 and divide it by 3 and the answer we would get is 39
117 ÷ 3 = 39
To double check the answer we could multiply 39 by 3 to see if we 117.
39 × 3 = 117
X= 39 pounds, so Evans dog is 39 pounds
Find x for brainiest 3
Answer:
115
Step-by-step explanation:
[tex]65 + x = 180 \\ x = 180 - 65 \\ x = 115[/tex]A network provider investigates the load of its network. The number of concurrent users is recorded at fifty locations (thousands of people), These data are available in data set ConcurrentUsers.
17.2 22.1 18.5 17.2 18.6 14.8 21.7 24.1 13.3 16.2
17.5 19.0 23.9 14.8 13.5 15.8 13.1 16.1 21.9 23.9
19.3 15.4 16.7 19.5 16.2 16.9 17.1 20.2 19.7 18.7
17.6 15.9 15.2 17.1 15.0 15.8 16.3 22.8 22.2 21.7
20.7 12.0 19.9 19.4 13.4 19.8 17.7 18.8 21.6 11.9
(a) Compute the sample mean, variance, and standard deviation of the number of concurrent users.
(b) Estimate the standard error of the sample mean.
(c) Compute the five-point summary and construct a boxplot.
(d) Compute the interquartile range. Are there any outliers?
(e) It is reported that the number of concurrent users follows approximately Normal distribution. Does the histogram support this claim?
Since there is no number greater or less than the above one, it doesn't contain any outlier.
The given data set is
17.2 22.1 18.5 17.2 18.6 14.8 21.7 24.1 13.3 16.2
17.5 19.0 23.9 14.8 13.5 15.8 13.1 16.1 21.9 23.9
19.3 15.4 16.7 19.5 16.2 16.9 17.1 20.2 19.7 18.7
17.6 15.9 15.2 17.1 15.0 15.8 16.3 22.8 22.2 21.7
20.7 12.0 19.9 19.4 13.4 19.8 17.7 18.8 21.6 11.9
What is variance?The variance is a measure of variability. It is calculated by taking the average of squared deviations from the mean. Variance tells you the degree of spread in your data set. The more spread the data, the larger the variance is in relation to the mean.
(a) Sample Mean = The Sum of the given terms/Number of terms
So, sample mean as µ=17.954
Variance can be denoted by [tex]s^2= \frac{1}{50-1} \Sigma_{n=1} (x_{i}-19.954)^2[/tex]
=9.97
Standard deviation s=√9.97
=3.16
b) The standard error can be denoted by:
s/√n-1 = 3.16/√49
=0.45
c) For the given data,
The value of the least sample number =12.0
The value of the greatest number in sample=24.1
So, Q1=15.83
Median =17.75
Q3=19.88
d) The IQ range would be as follows:
Q3-Q1=19.88-17.75
=4.05
The outlier must be greater than 19.88+1.5(4.05)=25.96 or less than 15.83+1.5(4.05)=9.76.
Since there is no number greater or less than the above one, it doesn't contain any outlier.
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How many palindromes between 1000 and 9999 inclusive are divisible by 9?
Palindromes are numbers that remain the same, when reversed.
There are 10 palindromes divisible by 9 between 1000 and 9999
To do this, we list the numbers divisible by 9 between 10 and 99.
The numbers are:
[tex]\mathbf{A = 09,\ 18,\ 27,\ 36,\ 45.\ 54,\ 63,\ 72,\ 81,\ 90,\ 99}[/tex]
Flip these numbers
[tex]\mathbf{B =90,\ 81,\ 72,\ 63,\ 54.\ 45,\ 36,\ 27,\ 18,\ 09,\ 99}[/tex]
Combine corresponding numbers
[tex]\mathbf{AB =0990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]
Rewrite as:
[tex]\mathbf{AB =990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]
990 is less than 1000.
So, we have:
[tex]\mathbf{AB =1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]
Count the numbers
[tex]\mathbf{n(AB) =10}[/tex]
Hence, there are 10 palindromes divisible by 9 between 1000 and 9999
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If 16^x=13. what is the value of 2^2x+1
[tex]16^x=13\implies (2^4)^x=13\implies ((2^2)^2)^x=13\implies ((4)^2)^x=13 \\\\\\ 4^{2\cdot x}=13\implies 4^{x\cdot 2}=13\implies \left[4^x \right]^2=13\implies \boxed{4^x}=\sqrt{13} \\\\[-0.35em] ~\dotfill\\\\ 2^{2x+1}\implies 2^{2x}\cdot 2^1\implies (2^2)^x\cdot 2\implies 4^x\cdot 2\implies \boxed{\sqrt{13}}\cdot 2\implies 2\sqrt{13}[/tex]
What is the meaning of the point shown on this graph?
Mysha’s Height
A: Mysha was 12 inches tall at age 2 1/2 years
B. Mysha was 30 inches tall at age 1 year
C: Mysha was 12 inches tall at the ago 30 months
D: Mysha was 30 inches tall at age 12 years
What is the value of x in the diagram below? 49 14 2 O A. 7 OB. 8 O C. 9 D. 6
Answer:
just answered
Step-by-step explanation:
The value of x in the given diagram is 7 because the two triangles are similar
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The given two triangle are similar
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Let us form a proportional equation to find x
49/x=14/2
49/x=7
49/7=x
We get x=7
Hence, the value of x in the given diagram is 7 because the two triangles are similar
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What is 26 out of 100 expressed as a ratio in simplified form?
26:100
..............................
26 percent in simplest form is the fraction 13/50. Since 'percent' means 'per hundred,' 26 percent would be equivalent to the fraction 26/100.
see question above ^^
work out the value of 10²-4³ give ypur answer as a power of 6
Answer: 36
Step-by-step explanation: 10^2 is 100 and 4^3 is 64, and 100-64=36
Relatively Simple Math, pls lend a hand. All my points and Brainliest
An inventor makes a rectangular array of 1024 LEDs. Each row will
have 16 LEDs. How many rows of LEDs does he need?
Answer:
64
Step-by-step explanation:
Since the total area of the rectangle (in this case number of leds) is:
Total LEDs = rows * columns
you can just replace the values:
1024 = 16 * x
And then divide 1024 / 16 to find x
x = 64
convert 25 __ 200 fluid ounces
use the Measures of Capacity to help u if u need it
which is greater
steps must be given
Will give branliest
Janice bought 4 oranges for $3.40. what is the unit price.
A cookie factory uses 9/10 of a bag of flour in each batch of cookies. The factory used 4 1/2 bags of flour yesterday. How many batches of cookies did the factory make?
A city dumps plastic shade balls into a reservoir to prevent water from evaporating during a drought. It costs $5760 for 16,000s shade balls. How much dose it cost for 12,000 shade balls?
Answer:
$4320
Step-by-step explanation:
it costs $5,760 for 16,000, so divide 5,760/16,000 to find the cost for each shade ball, .36 dollars. Then multiply .36 by 12,000 to find 4320. Then just don't forget your unit ! add a $ or 'dollars'
Can someone help me with this problem 9(n+3)<10(n+1)
[tex]9(n+3)~<~10(n+1)\implies 9n+27~<~10n+10 \\\\\\ 27~<~n+10 \implies 17 ~<~ n[/tex]
5b + 6 - 6b + 2 = 19
Answer:
i got b= -11
Step-by-step explanation:
Answer:
b=-11Step-by-step explanation:
5b + 6 - 6b + 2 = 19
5b-6b+6+2=19
-b+8=19
b=8-19
b=-115(-11) + 6 - 6(-11) + 2 = 19
-55 + 6 + 66 + 2 = 19
-55+74=19
19=19