2. Riverside Elementary School is holding a school-wide election to choose a school color. Five-eighths of the votes were for blue, 5/9 of the remaining votes were for green, and the remaining 48 votes were for red.
a. How many votes were for blue?
b. How many votes were for green?
Answer:
a. 180 votes were for blue
b. 60 votes were for green
Step-by-step explanation:
Fractions
It's known 5/8 of the votes of a school-wide election were for painting the school blue. Suppose there were x voters in school.
Since 5/8 were for blue, then
[tex]1-\frac{5}{8}=\frac{3}{8}[/tex]
Were for the rest of the colors. It's also known 5/9 of the remaining votes were for green, thus
[tex]1-\frac{5}{9}=\frac{4}{9}[/tex]
of the remaining votes were for red.
The votes for red are:
[tex]\frac{3}{8}\cdot\frac{4}{9}=\frac{1}{6}[/tex]
of the total voters.
We know these were 48 votes, thus
[tex]\displaystyle x=\frac{48}{\frac{1}{6}}[/tex]
[tex]x = 288[/tex]
There were 288 voters in school.
a. 5/8 were for blue, that is:
[tex]\frac{5}{8}*288=180[/tex]
180 votes were for blue
b. 288-180 = 108 votes were for others than blue, and 5/9 of them were for green:
[tex]\frac{5}{9}*108=60[/tex]
60 votes were for green and 108-60=48 votes were for red (as expected)
Question 1
Find the missing angle to the nearest degree.
36
14
degrees
Answer:
23°
Step-by-step explanation:
Let the missing angle be x
Reference angle = missing angle = x
Opposite side to x = 14
Hypotenuse = 36
Applying trigonometric ratio, we have:
[tex] sin(x) = \frac{14}{36} [/tex]
[tex] x = sin^{-1}(\frac{14}{36}) [/tex]
x = 23° (to the nearest degree)
which rate is greatest
A. 600 miles per 15 hours
B. 1,500 miles per 50 hours
C. 800 miles per 16 hours
D. 900 miles per 20 hours
Answer:
C. 800 miles per 16 hours
Step-by-step explanation:
600 ÷ 15 = 40
1500 ÷ 50 = 30
800 ÷ 16 = 50
900 ÷ 20 = 45
40 > 30 < 50 > 45
Answer:
its C
Step-by-step explanation:
Please help ASAP!!!!!!!!!
______________________________
1.) Plug our numbers into the formula:[tex]B[/tex] × [tex]H[/tex][tex]6[/tex] × [tex]4=24[/tex]______________________________
Pete plans to put silver Colored ribbon around a circular logo. About how many inches of silver colored ribbon will he need?
To determine the length of silver colored ribbon that Pete will need to put around a circular logo, we need to calculate the circumference of the logo.
The circumference of a circle can be found using the formula C = πd, where C represents the circumference and d represents the diameter of the circle. However, we are not given the diameter of the logo, so we cannot determine the exact length of the ribbon needed.
Assuming Pete knows the diameter or radius of the logo, he can calculate the circumference using the formula mentioned above. Once the circumference is determined, Pete will know how many inches of silver colored ribbon he will need. It is important to ensure that Pete has a little extra ribbon in case of any measurement errors or mistakes during the ribbon placement.
To know more about circumference of a circle visit:
https://brainly.com/question/27002263
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Step By Step please & Thank you.
Answer:
2/3
Step-by-step explanation:
[tex] \frac{3}{4} n = \frac{1}{2} \\ \\ multiply \: both \: sides \: by \: \frac{4}{3} \\ \\ \frac{ \cancel4}{\cancel3} \times \frac{\cancel3}{\cancel4} n = \frac{\cancel4 \: \: \red{ \bold2}}{3} \times \frac{1}{ \cancel2} \\ \\n = \frac{2 \times 1}{3 \times 1} \\ \\ n = \frac{2}{3} [/tex]
Which graph represents the function f(x) = (x – 5)2 + 3?
Answer:
A
Step-by-step explanation:
Edge 2021
what is equivalent to 2 with a little 4
Answer:
16 is your answer
Step-by-step explanation:
plz mark brainliest to help rank ;)
Solve for x 4x^2+72x+320=0
Answer:
i hope this helps
Step-by-step explanation:
Christy bought an 8-foot piece of lumber to trim a bookshelf. Altogether, she needs 100 inches of lumber for the trim. Did Christy buy enough lumber?
Write each ratio as a percent.
a. 3:8
b. 9:12
c. 16:25
d. 42:96
Explain how u did it
Answer:
a. 37.5
b. 75%
c. 64%
d. 43.75%
Step-by-step explanation:
a. [tex]\frac{3}{8}[/tex] = [tex]\frac{x}{100}[/tex]
Cross multiply
8x = 3(100)
8x = 300
x = 37.5
37.5%
b. [tex]\frac{9}{12}[/tex] = [tex]\frac{x}{100}[/tex]
Cross multiply
12x = 9(100)
12x = 900
x = 75
75%
c. [tex]\frac{16}{25}[/tex] = [tex]\frac{x}{100}[/tex]
Cross multiply
25x = 16(100)
25x = 1600
x = 64
64%
d. [tex]\frac{42}{96}[/tex] = [tex]\frac{x}{100}[/tex]
Cross multiply
96x = 42(100)
96x = 4200
x = 43.75
43.75%
A manufacturer knows that their items have a normally distributed length, with a mean of 16.2 inches, and standard deviation of 0.9 inches. If one item is chosen at random, what is the probability that it is less than 16.4 inches long
Answer:
57.926%
Step-by-step explanation:
Calculation for the probability that it is less than
16.4 inches long
Using this formula
z = (X - μ) / σ
Where,
X represent Date=16.4
μ represent Mean=16.2
σ represent Standard deviation=0.9 inches
Let plug in the formula
z = (16.4 - 16.2) /0.9 inches
z=0.2/0.9 inches
z = 0.2
Using Z-score table to find the area of 0.2
z=0.57926*100
z=57.926%
Therefore the probability that it is less than
16.4 inches long is 57.926%
In ΔSTU, t = 21 cm, s = 30 cm and ∠S=26°. Find all possible values of ∠T, to the nearest degree.
Answer:
18 degrees
Step-by-step explanation:
Answer:
fat
Step-by-step explanation:
yo mamo so fat when she jumps to the pool she sends the water to mars
jason voorhes was buying hocky masks. 1 hockey mask cost 10 dollars how much does 10 masks it cost in all?
Answer:
$100
Step-by-step explanation:
since 1 hockey mask costs $10 and you need 10 masks you can multiply 10x10 and you will get 100
Find the value of x in the triangle shown below 9 12
In a 77-kilometer relay race each of 22 team members will run and equal distance how many kilometers will each team run?
Answer:
3.5km
Step-by-step explanation:
77/22=3.5km each
please mark my answer as brainliest!!!<3
A right cone has a slant height of 20 feet, and the diameter of the base is 24
feet. What is the height, h, of the cone?
20 ft
24 ft
A. 544
B. 12 ft
c. 256 ft
D. 16 ft
Answer:
D. 16 ft
Step-by-step explanation:
h = √20² - (24/2)² = √400-144 = √256 = 16
Oscar is responsible for choosing the company his local
community group will use to cater an event. He must choose
between Delectables and Gracefully Done. Both companies
charge an initial set-up fee and then charge per guest served.
The graph shows the cost, in hundreds of dollars, of hiring
Delectables and Gracefully Done.
Which statements are true about Delectables and Gracefully
Done?
Select each correct answer.
Gracefully Done charges more per guest than
Delectables charges.
O Gracefully Done charges $5 per guest served.
The initial fee charged by Delectables is less than
the initial fee charged by Gracefully Done.
Oscar should choose Delectables if fewer than 50
guests are served
The two caterers will cost the same if 500 guests are
served.
The initial fee charged by Delectables is $250.
A customer buys a different book that has an original selling price, in dollars, of the book?
ur answer in the box
Customer buys a different book that has an original selling price of $38. The book is discounted 25%. The customer must pay a 6% sales tax on the discounted price of the
the totamount in dollars, the customer pays for the discounted book?
Answer:
the customer pays $40.00 dollars
PLEASE HELP ASAP!! Picture included
Answer:
The Answer is 35
As comparing to 65 and 40
the x side is smallest
its 35
Part A : At Mountain Park Middle school, there are 250 seventh-grade students who are not in advanced math. Let a represent the number of seventh-grade students who are not in advanced math?
Part B: How many students are NOT in advanced math?
Answer:
hard to explain
Step-by-step explanation:
Answer:I think 80 at bottom like
Step-by-step explanation:
1/3(z+4)-6=2/3(5-z)
Answer:
hope my answer is helpful to you
plz mark me as brainlist and also follow me
The American Association of Individual Investors (AAII) polls it subscribers on a weekly basis to determine the number who are bullish, bearish, or neutral on the short term prospects for the stock market. Their findings for the week ending March 2, 2014, are as follows: Bullish 409 Neutral 299 Bearish 291 Develop a point estimate of the following population parameters. The proportion of all AAII subscribers who are bullish on the stock market.
Answer: The proportion of all AAII subscribers who are bullish on the stock market is 0.4094
Step-by-step explanation:
Given the data in the question;
The total number of American Association of Individual Investors in stock market are;
409 + 299 + 291 = 999
The proportion of all AAII subscribers who are bullish on the stock market will be:
Market = 409 / 999
= 0.4094
Therefore, The proportion of all AAII subscribers who are bullish on the stock market is 0.4094
PLEASE HELP: A rectangular prism has a height of 15 centimeters. The base of the prism has an area of 22 square centimeters.
What is the volume of the prism
Answer:
330
Step-by-step explanation:
Geometry question
What is the formula to find the surface area of a pyramid with a triangle base?
Answer:
Step-by-step explanation:
12pl+B where p represents the perimeter of the base, l the slant height and B the area of the base.
A rectangle is made up of green and red tiles. the ratio of green tiles to red tiles is 3:4. Which of the following could be the number of green tiles in the rectangle?
Answer:
H) 24
Step-by-step explanation:
24 is the only number that is divisible by 3.
CHECK:
3 x 8 : 4 x 8
24:32✔
(You can try dividing '3' by the other numbers to also check your answer)
Hope this helped ^^
Please help me solve
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Polynomial long division is done using the same methods as for numerical long division. Each quotient term is multiplied by the divisor, and that product subtracted from the dividend to get the new dividend. You are done when the degree of the dividend is less than the degree of the divisor.
As with numbers, 0 is put where a placeholder is needed. Here, that is needed for the (missing) x^2 term in the dividend.
As with numbers, the remainder is expressed as a fraction using the divisor as the denominator.
The full quotient is 4x^2 +2x +11/4 +37/(8x-4).
Try it out! What is the slope of the line that goes through the points (6,9) and (7.1)?
Answer:
-8
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
1-9/7-6
-8/1
-8
Best of Luck!
Answer: The slope is equal to -8
Step-by-step explanation:
Since we know all of the points we can put it into the equation y2-y1 divided by x2-x1
So we input the numbers into the equation
1-9= -8
7-6= 1
-8/1 comes out to -8
(1 3/4 + 2 3/8) + 5 7/8=
Answer:
10
Step-by-step explanation:
The price of an item has been reduced by 15%. The original price was $87.
Answer:
The new cost is $73.95
The discount was $13. 05
Step-by-step explanation:
Turn the % into a decimal so it would be 0.15.
Then multiply it to the total, 87 x 0.15 = 13. 05
so the discount subtracted $13.05 off of the original price.
87 - 13. 05 = 73.95