The complete question statement is: A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states that the number of students who drive to school is greater than the number of teachers and employees who drive to school. Explain how Roger’s statement could be correct.
Answer and Explanation:
What is given;
Students 27%. (s)
Teachers and employees 94%. (t)
The ratio between these two variable is 10:1, this means that for every 10 students there's one employee only, that is, students are 10 times more than teacher and employees.
So, 27% of 10 students is 2.7 students, and 94% of 1 employee is 0.94 employees and teachers. So, if there are 2,000 students, there must be 200 teachers, and the number of students that have cars are 0.27(2000)=540, and the number of teacher and employees that have cars are 0.94(200)=188.
As you can observe, with this ratio and percentages, the number of students who drive to school is greater than the number of teachers and employees who drive to school. That's why Roger's statement is correct.
Evaluate the expression 8+7
Answer:
15
Step-by-step explanation:
Calculate the sum of 8+7 which is 15
100÷5+25×3=
AYUDAA ES PARA HOYYY
Answer:
95
Step-by-step explanation:
100 divided by 5 plus 25 times 3 is 95 :)
100/5=20
25x3=75
75+20=95
95
How much money was invested at 5% annual simple interest for 4 years to earn $2870?
Answer:
Principal (amount invested) = $14,350
Step-by-step explanation:
Given the simple interest amount of $2,870 earned in 4 years at 5% interest rate:
In order to find the principal amount that was invested, we could use the simple interest formula and isolate the variable, P, algebraically.
I = P × r × t
where:
I = interest earned = $2,870
P = principal amount invested = ?
r = interest rate = 5% or 0.05
t = time = 4
Divide both sides by (r × t ) to isolate P :
[tex]\displaystyle\mathsf{\frac{I}{(r\:\times\:t)}\:=\:\frac{P\:\times\:r\:\times\:t}{(r\:\times\:t)}}[/tex]
[tex]\displaystyle\mathsf{P\:=\frac{I}{(r\:\times\:t)}}[/tex]
Substitute the given values into the formula for P:
[tex]\displaystyle\mathsf{P\:=\frac{I}{(r\:\times\:t)}\:=\:\frac{2870}{0.05\:\times\:4}}[/tex]
[tex]\displaystyle\mathsf{P\:=\frac{2870}{0.20}=14,350}[/tex]
Therefore, the principal amount invested is $14,350.
Order the fallowing numbers from least to greatest put the lowest number on the left. -4 , 2 , -1, 3
Answer:
-4,-1,2,3
Step-by-step explanation:
June earned $ 75 last week. April earned $25. June earnings were how many times greater than April
Answer:
3 times
Step-by-step explanation:
75÷25=3 times greater than April
simplify the ratio 12 1/4 : 8
Answer: 49 : 32
Step-by-step explanation:
12 1/4 = 49/4
12 1/4 : 8 = 49/4 : 8
12 1/4 : 8 = 49/4 : 8/1
12 1/4 : 8 = 49/4 : 32/4
12 1/4 : 8 = 49 : 32
12 1/4 : 8 = 49 : 32
to convert 13 feet to yards you would use the ratio 1 yard / 3feet or true or false
Answer:
True
Explanation:
3 feet is 1 yard so 13/3 is 4.3 yards approximately
True
[tex] \frac{1 \: yard}{3 \: feet} = \frac{x \: yard}{13 \: feet} [/tex]
3x = 13
[tex]x = \frac{13}{3} yards[/tex]
help plsss TT ill givee brainly
Answer:
Find the Circumference!
Step-by-step explanation:
Finding the circumferenfe is pretty simple!
On this question, it looks like the diameter is 14!
take the circumference and divide it by 2
14/2
Take the answer and multiply it by PI (3.14).
7 * 3.14 = 21.98
kyle took at total of 8 quizzes in the first 4 weeks of school. How many weeks of school will he have to attend before he will have taken a total of 12 quizzes?
Answer:
6 weeks
Step-by-step explanation:
8 quizzes = 4 weeks
So 2 quizzes/week
It will take her 12/2 weeks (6) to finish 12 quizzes
-Chetan K
Hey whats 2+2? i need to know ASAP! IM IN PRESCHOOL-
Answer:
lol Its 4
Step-by-step explanation:
Dont worry you got this
Answer:
=4
Step-by-step explanation:
2 + 2 = 4
1 + 1 = 2
1 + 3= 4
Hope this helps, have a nice day/night! :D
if it helps, please mark as brainliest!
Please need answer now will mark brainliest and no files please What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
6/6, simplified to 1,
negative slope so -1
Which of these accurately describes the motion of the train?
Answer:
C
Step-by-step explanation:
For the first part, a velocity graph would show the constant velocity, and the curve represents the constant negative acceleration, which could be seen on a acceleration graph. The final part after the curve shows the 0 velocity because the position is constant.
chapter 6.4 : Problem 4
Answer:
wdym
Step-by-step explanation:
x+x+y×y simplified ?
Answer:
(x+x)+ (y+y)
=2x + 2y
thank you
come here in meet dpibazhogk
Hey there!
x + x + y × y
= 1x + 1x + 1y × 1y
COMBINE the LIKE TERMS
= (1x + 1x) + (1y × 1y)
= 2x + y²
= y² + 2x
Therefore, your answer should be: y² + 2x
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
40 points! Help (Vectors)
Answer:
distance, speed, time, temperature , work, energy, charge, voltage are all scalar quantities. Displacement, velocity, acceleration, force, electromagnetic field are all vector quantities.
Step-by-step explanation:
Displacement and velocity.
When thirteen is reduced by two-thirds of a number, the result is 7. Find the number.
The number is
Answer:
30Step-by-step explanation:
Let,
The req. number be = x
So,
Two - thirds of the number
[tex] = \frac{2}{3} x[/tex]
Then, it is reduced by 13
[tex] = \frac{2}{3} x - 13[/tex]
After that,
The req. result we get is = 7
Therefore,
By the problem,
[tex] = > \frac{2}{3} x - 13 = 7[/tex]
(On putting like terms on one side)[tex] = > \frac{2}{3} x = 7 + 13[/tex]
(On Simplification)[tex] = > \frac{2}{3}x = 20[/tex]
(On multiplying both sides with 3/2)[tex] = > \frac{2}{3} x \times \frac{3}{2} = 20 \times \frac{3}{2} [/tex]
(On Simplification)=> x = 30
Hence,
The req. number is 30.
Given that :
Thirteen is reduced by two-thirds of a number. And their result is 7.To Find :
The number.Solution :
Let's assume the number as x
According to the question :
[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x - 13 = 7 }[/tex]
Adding 13 to both sides we get :
[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x - 13 + 13 = 7 + 13 }[/tex]
[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x = 20 }[/tex]
Now, Multiplying both sides by [tex] \dfrac{3}{2} [/tex] we get :
[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x \times \dfrac{3}{2} = 20 \times \dfrac{3}{2} }[/tex]
[tex]\qquad \sf \: { \dashrightarrow \dfrac{ \cancel2}{ \cancel3}x \times \dfrac{{ \cancel3}}{ \cancel{2}} = \cancel{20} \times \dfrac{3}{ \cancel{2}} }[/tex]
[tex]\qquad \sf \: { \dashrightarrow x = 10 \times {3} }[/tex]
[tex]\qquad \bf \: { \dashrightarrow x = 30 }[/tex]
Therefore, The number is 30.
Please help thank you! Solve for x and y
Answer:
x = 2
y = 7
I aced this lesson in 6th grade.
Step-by-step explanation:
hope this helps. . . <3
good luck! uωu
Answer:
Step-by-step explanation:
All 4 sides are equal. (They are marked that way).
8x = 5x + 6 Subtract 5x from both sides
8x - 5x = 5x - 5x + 6 Combine
3x = 6 Divide by 3
3x/3 = 6/3
x = 2
Consecutive angles of a rhombus are supplementary
97 + 12y - 1 = 180 Combine
96 + 12y = 180 Subtract 86 from both sides
12y = 180 - 96
12y = 84 Divide by 12
y = 84/12
y = 7
What is the y intercept of y= 3x + n
Answer:
Step-by-step explanation:
1
Can someone help with question #3
Answer:
y = –12x –300 that will help you
Please hurry will mark brainliest if you answer correctly
A number x increased by 4 is less than or equal to 27.
Answer:
x + 4 < 27
-4. -4
x > 24
Step-by-step explanation:
put lines under signs
How many milliliter are in 0.3grams
Answer:
0.3ml
Step-by-step explanation:
0.1 g = 0.1 ml
please help struggling a lot!
Answer:
- 162, 486, - 1458
Step-by-step explanation:
To find the next term in a geometric sequence , multiply the previous term by the common ratio r
r = [tex]\frac{T_{2} }{T_{1} }[/tex] = [tex]\frac{-18}{6}[/tex] = - 3 , then
T₄ = T₃ × - 3 = 54 × - 3 = - 162
T₅ = T₄ × - 3 = 486
T₆ = T₅ × - 3 = - 1458
Show your work and write an expression using the following criteria:
1. A dividend greater than 1,000
2. The quotient is 58 with a remainder of 22
Answer:
this is correct
Step-by-step explanation:
A dividend is a number we want to divide by another number. It's supposed to be greater than 1000.
Quotient - the integer result of division. Remainder - well, what remains.
9/4 = 2, with remainder 1.
You want to find a number greater than 1000, which, when divided by another number, results in 37, with a remainder of 4.
I would multiply 37 by an increasing number until we get a product greater than 1000. This number is the one you are dividing by. Now add 4 to the product, so that when the sum is divided by the number you found we'll get a remainder of 4.
Twelve pounds of the element plutonium is released in a nuclear accident. The amount of plutonium P that is present after t months is given by P(t)=12e^-0.1507t. What amount of plutonium remains after 36 months? Round to two decimal places.
The amount of Plutonium that remains after 36 months is 0.05
The equation for the amount of Plutonium after t months is
[tex]\mathbf{P(t) = 12e^{-0.1507t}}[/tex]
After 36 months; we have: t = 36.
Substitute 36 for t in P(t).
So, we have:
[tex]\mathbf{P(36) = 12e^{-0.1507 \times 36}}[/tex]
Simplify the exponent
[tex]\mathbf{P(36) = 12e^{-5.4252}}[/tex]
Evaluate the exponent
[tex]\mathbf{P(36) = 12 \times 0.004404}[/tex]
Multiply
[tex]\mathbf{P(36) = 0.052848}[/tex]
Approximate to 2 decimal places
[tex]\mathbf{P(36) = 0.05}[/tex]
Hence, the amount that remains is 0.05
Read more about exponential functions at:
https://brainly.com/question/11487261
Classify the quadrilateral, Explain your reasoning. Thank you!!
Answer: y=7, x=2
Step-by-step explanation:
∠Q+∠P=180° (∠s between 2 // lines)
97°+(12y-1)°=180°
12y-1=83°
12y=84
y=7
5x+6=8x (Iso triangle)
x=2
a/4−5/6=−1/2 big ideas
Answer:
4/3
Step-by-step explanation:
A/4 - 5/6 = -1/2(A6 - 20)/24 = -1/2A6 - 20 = -(1/2) x 24A6 = -12 + 20A6 = 8A = 8/6A = 4/3Which of the following is the perimeter of a triangle with side lengths of 8 in, 9 in, and 11 in?
Answer:
show the question
Step-by-step explanation:
How many license plates begin with the letter W and end with the number 79
6+13+20...+(7n-1) Find the sum.
Answer:
2.5n+3.5n^2
Step-by-step explanation:
(6+7n-1)*n/2=2.5n+3.5n^2