Answer:
Choice C) area = 15.75 ft²
Step-by-step explanation:
area = 3.5 x 4.5 = 15.75 ft²
8. In a mock school election 5/7 of the students voted. There are 1095 ballots. Write and solve a equation to find the number of students in the school.
Alright, this is a fairly simple equation if you consider the overall question. As the question states, every 5 of out 7 students voted in the election. This means that five sevenths of all students in the school casted a vote.
Now, what can we do with this information? Well, we know that there were 1095 votes in total. This means that five sevenths of the school who voted represents 1095 students.
Can you see the equation you need to write now? Let's use a simple equation with the variable 's' to represent the total number of students:
[tex]\frac{5}{7}[/tex] * s = 1095
As I elaborated earlier, this equation essentially means "5/7 of the entire student population is 1095 students." Now, we just need to isolate the variable 's' to get our final answer.
To get rid of the denominator, let's multiply both sides by 7:
[tex]\frac{5s}{7}[/tex] * 7 = 1095 * 7
5s = 7665
Finish it off by dividing both sides by 5 to get rid of s's coefficient:
[tex]\frac{5s}{5}[/tex] = [tex]\frac{7665}{5}[/tex]
s = 1533
There are 1533 total students in the school
And that's it! If you have any questions about how I solved it, feel free to ask!
- breezyツ
I know the answer is 825 but what is the constant of proportionality??
Answer:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.
Step-by-step explanation:
Gina is 16 years older than her nephew Paul. In 3 years, she will be 3 times older than Paul. How old are Gina and Paul currently?
9514 1404 393
Answer:
Paul: 5Gina: 21Step-by-step explanation:
In 3 years, the 16-year age difference will be 2 times Paul's age. (3p -p = 2p) Then, Paul will be 8.
Paul is 5 now, and Gina is 21.
what is the value of x
Step-by-step explanation:
2x = x + 11
x = 11
I need help pls:(((((((((((((((((
Answer:
108
Step-by-step explanation:
We first must find the total per year of every family.
Remember... there are 12 months in a year
Wilson: 18 × 12 = 216
Kumar: 16 × 12 = 192
Lopez: 27 × 12 = 324
Anders: 14 × 12 = 168
Johnson: 15 × 12 = 180
The Lopez family borrows the most. (324 books)
The Wilson family borrows the second most. (216 books)
324 - 216 = 108
Aaron bought a stereo system for $55 and spends $8.45 on parts. He sells the system for
$60. What is his profit/loss?
Answer:
his loss is $3.45
Step-by-step explanation:
you just add then subtract
if f (x) =5x^{2} what is 3 f (x) ?
Answer:
15x²
Step-by-step explanation:
Given
f(x) = 5x² , then
3f(x) = 3 × 5x² = 15x²
-8x+14≥60 or -4x+50<58
Answer: x ≤ −23/4 or x> -2
Step-by-step explanation:
HELP I WILL GIVE BRAINLIEST AND THANK AND 5 STAR!
Answer:
4. 2
Step-by-step explanation:
Subtitue the value of variable into the equation and simplify 2
Answer:
2 and 16/3 is the answer
Step-by-step explanation:
4.
putting value of n in given expression
20-3.6
20-18
2 answer
5.
putting value of n in given expression
(2/3).6+(2/3).2
4+(4/3)
(12+4)/3
16/3 answer
What is the range of possible values for x?
Answer:
Choice A) 0 < x < 18
Step-by-step explanation:
10x = 6x + 20
subtract
4x = 20
solve for x
x = 5
If y varies directly with x. and y=10 when x=5.6, find the value of y when
X=3
Answer: 5.3571
Step-by-step explanation:
The formula used to calculate direct proportion is: y = kx
We will find the constant of proportionality when y=10 and x=5.6. This will be:
y = kx
10 = 5.6k
k = 10/5.6
k = 1.7857143
The value of y when X=3 will be:
y = kx
y = 1.7857143 × 3
y = 5.3571
I GOT A FAKE ANSWER ON THE LAST ONE SO PLEASE HELP FOR REAL NOT FOR THE POINTS
This is your chance to demonstrate your basketball skills! You have been chosen to participate in a paper-ball throwing contest.
Directions:
1. Use the scrap paper to make 10 paper balls per group. (Wad the paper balls up tightly so they are easier to aim.)
2. Place a trash can (or other large container) 5 feet away.
3. Predict how many paper balls you will be able to get into the basket. Type your prediction.
4. Type your results as a fraction.
5. Type your results as a decimal.
Answer: 3/5 or 0.6
Step-by-step explanation: It would take 2 shots for me to fine tune the force I need to get a perfect shot. If you divide 3 by 5 you get 0.6.
If you know the whole sheet that would be best!!!!!
Answer:
Step-by-step explanation:
Mskwosjdbeiecdbf
Determine if the graph of the function opens up or down. Explain how you know
Answer:
Opens up
Step-by-step explanation:
x^2+2x-15
Standard form: ax^2+bx+c
If a<0, then the graph opens down
If a>0, then the graph opens up.
In this case: 1x^2+2x-15
a=1
Since 1>0 then the graph opens up.
Write the word sentence as an inequality.
A number b is at least −3.
Answer:
b >= -3
The symbol > = represents "greater than OR equal to".
7x −28 solve for inequality
Answer:
7(x-4)
Step-by-step explanation:
You can use an Algebra calculator btw.
Mr. Henry spent $15 on a new hat this week. He learned that the same hat available on
sale at $12 last week. What was the percentage increase in the price of the hat this
week?
Find the product
Give your answer in simplest form.
3/5x12
Pls help me this is very important
Answer:
No because they have different slopes
Step-by-step explanation:
(1 , 2) and (2, 4)
Slope:
m=(y2-y1)/(x2-x1)
m=(4-2)/(2-1)
m = 2
i need help with this since it’s due tomorrow, listing the side lengths of XYZ in order from smallest to largest
Answer:
∠ x , ∠ z , ∠ y
Step-by-step explanation:
What transformation of Figure 1 results in Figure 2.? Select from the drop-down menu to correctly complete the statement. A Choose... of Figure 1 results in Figure 2. Figure 2 is a triangle and it is a transformation of Figure 1
Answer:
fliped up ward
Step-by-step explanation:
Answer:
a rotation,
Step-by-step explanation:
just took the quiz
Plz need help i cant do it
Answer
adding 2
Step-by-step explanation:
Median is 8
I don't know if this is correct but I tried.
Solve the equation using Order of Operations. (It's in the picture)
A) 87
B) 101
C) 68
D) 99
I am not allowed to use a calculator, by the way.
Step-by-step explanation:
(38+45)+9*2+3-59+((4/2)*3+8*5)=
83+18+3-59+(6+40)=
83+18+3-59+(6+40)=
83+18+3-59+46=
(83+18+3+46)-59=
150-59=91
I'm not sure if this is correct but it should be. Is it 4/2*3 or (4/2)³?If it is (4/2)³ the result would be 93.
Pls help ASAP I DONT have time
Answer:
B: y = 3x + 6
Can some please help me on question 2 I am just confused.
Answer:
ok so weknow tht 160 pounds cost 9.60 how much do u think will 1.50 cost
Step-by-step explanation:
Describe how you know that (8+9)+3 is equivalent to 8+(9+3). What is the benefit to using this property
Answer:
Associative property of addition
Step-by-step explanation:
The associative property of addition is as follows :
a+(b+c) = (a+b)+c
We have,
a = 8, b = 9 and c = 3
So,
Using above property,
(8+9)+3 = 8+(9+3)
20 = 20
Hence, this is the required solution.
Find the angle of the sector given the radius and the area of the sector.
Radius = 12 ft
Area of sector is 339.3 ft2
Answer:
270 degrees
Step-by-step explanation:
[tex]Area \: of \: the \: sector \\ \\ = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ 339.3 = \frac{ \theta}{360 \degree} \times 3.14 {(12)}^{2} \\ \\ 339.3 = \frac{ \theta}{360 \degree} \times 3.14 \times 144 \\ \\ \theta = \frac{339.3 \times 360 \degree}{3.14 \times 144} \\ \\ \theta = \frac{122,148\degree}{452.16} \\ \\ \theta= 270.143312 \degree \\ \\ \theta \approx \: 270\degree[/tex]
Can someone please help me solve this I don’t have a right calculator to do it!
Answer:
Step-by-step explanation:
You can solve it using the calculator that came with windows -- as far back as windows 7. It probably goes back even further, but that's all I can guarantee. Your phone might be able to do it as well.
y = 25000 * 0.007^5
y = 25000 * 1.6807 *10^-11
y = 0.00000042 is what my calculator gives.
Windows can probably do better.
ok now this hehehe, i just wanna see if im correct.
Answer:
x = 49.4°Steps:
given: m∠EFG = 90°
tan(x) = FG/EF
tan(x) = 10.5/9
tan(x) = 7/6
tan(x) = 1.166..
x = tan⁻¹(x)
x = tan⁻¹(1.166..)
x = 49.39.. ≈ 49.4°
Solve for x. You must show all of your work to receive credit.
V
5x + 17
23x - 5
W
37x + 5