Answer:
9 and 11
Step-by-step explanation:
Answer:
1 and 11
Step-by-step explanation:
A car uses 5 gallons of gasoline to travel 97.5 miles. At this rate, how many miles can the car travel using 13 gallons of gasoline?
Answer:
253.5 miles
Step-by-step explanation:
This problem can be solved by using the concept of "ratios" and "proportions."
Step 1: Check for the "known" and "unknown" variables.
The known variables are: 5 gallons, 97.5 miles and 13 gallons while the unknown variable is the "number of miles" the car can travel using 13 gallons.
Step 2: It's time to plug the values into the proportion.
[tex]\frac{5 gallons}{97.5 miles}[/tex] = [tex]\frac{13 gallons}{x miles}[/tex]
Step 3: Solve the proportion.
[tex]\frac{5}{97.5}[/tex] = [tex]\frac{13}{x}[/tex] ⇒ 5x = 1,267.5 ⇒ x = 253.5 miles
Henry predicted whether he got answers right or wrong in his 50 question exam. He identified the 31 questions he thought he got right. It turns out that Henry got 6 questions wrong that he thought he got correct and he only got 12 of the questions wrong he had predicted. What is the percentage accuracy he had with predicting his scores?
Answer:
74%
Step-by-step explanation:
Given that :
Total number of questions = 50
Total correct prediction :
Correct and right prediction = ( 31 - 6) = 25
Correct wrong prediction = 12
Total correct predictions = (25 + 12) = 37
Percentage prediction accuracy :
(Total correct prediction / total questions) * 100%
(37/ 50) * 100%
0.74 * 100%
= 74%
In an electrical circuit, the voltage across a resistor is directly proportional to the current running through the resistor. If a current of 12 amps produces 480 volts across a resistor, how many volts would a current of 1.5 amps produce across an identical resistor? Record your answer as number only.
Answer:volts =60v
Step-by-step explanation:
STEP 1
The voltage across a resistor is directly proportional to the current running through the resistor Is mathematically represented as
V∝ C
introducing the proportion of constant , we have
V=KC
Step 2
When current =12 amps, and volts = 480, we have
V=kC
480=K X 12
Constant of proportionality ,K= V/C=480/12= 40
Therefore, when current = 1.5 amp, volts=?
V= KC
V= 40 X 1.5
V= 60 volts
What is the solution to 0.2 (4x - 8) = 0.4(12-2x)
Answer:
x = 4
Step-by-step explanation:
Let's multiply both sides by 5 to get rid of the leading fractions.
5 X 0.2 (4x - 8) = 5 X 0.4(12-2x)
(4x-8) = 2 (12-2x)
4x - 8 = 24 - 4x
8x = 32
x = 4
x = 4
Find the reciprocal.
12
Answer:
1/12
Step-by-step explanation:
finding recirocal is basically turning your number into 1. so 12 times 1/12 equals 1.
The reciprocal of 12 is 1/12.
Hope this helps! :)
What is the y-intercept of the line that passes through the points (-2, 4)
and (4, -20). Make sure to choose (X1. Yı) and (X2, Y2) carefully.
Answer:
y=-4x-4
Step-by-step explanation:
-2,4
4,-20
-20-4 is -24
4--2
6
-24/6 is -4 (slope)
4=-2*-4+b
4=8+b
-4=b (y intercept)
Please someone help
Answer:
Nerys pays 3.1/3.84,5=84,5£per year
Eleri pays 3.84,5=253,5£per year
253,5-84,5=169£ more pay Eleri
GEOMETRY/EASY PROBABILITY, urgent!
Answer:
2/7, 3/7
Step-by-step explanation:
Total outcomes=7
No. 6 outcomes=2
P(E)= Favourable outcomes/total outcomes
=2/7
Total even no.= 3
∴ P(E)= 3/7
Mark me as brainliest
simon makes 30 cakes he gives 1/5 of the cakes to sali he gives 10% of the 30 cakes to jane what fraction of the 30 cakes does he have left?
Answer:
7/10
Step-by-step explanation:
1/5=6
10%=3
30-6-3
21
21/30=7/10
A cone is placed inside a cylinder. The cone has half the radius of the cylinder, but the height of each figure is the same. The cone is tilted at an angle so its peak touches the edge of the cylinder’s base. What is the volume of the space remaining in the cylinder after the cone is placed inside it? (Please explain and show work)
=================================================
Work Shown:
A = volume of the cylinder
A = pi*(radius)^2*(height)
A = pi*r^2*h
-----------
The cone's base has diameter r/2, so its radius is (1/2)*(r/2) = r/4
B = volume of the cone
B = (1/3)*(volume of cylinder with radius r/4 and height h)
B = (1/3)pi*(r/4)^2*h
B = (1/3)*pi*(r^2)/(4^2)*h
B = (1/3)*pi*(r^2)/16*h
B = (1/3)*(1/16)*pi*r^2*h
B = (1/48)pi*r^2*h
B = (1/48)*A
B = (1/48)*(volume of cylinder)
-----------
C = volume of the empty space/air inside cylinder, but outside cone
C = A-B
C = A - (1/48)*A
C = (48/48)A - (1/48)A
C = (48A)/48 - (A/48)
C = (48A-A)/48
C = 47A/48
C = (47/48)*A
C = (47/48)*pi*r^2*h
Fifty eighth graders attend a
charter school. If 1/10 are
home with the flu and 2/3 of
the remaining students are
on a field trip, how many are
in school?
Answer:
15
Step-by-step explanation:
1/10 of 50 is 5, so remove that.
2/3 of 45 is 30, so remove that too.
therefore, 15 kids are in school
hope this helps!! <3
Will mark brainiest for the first one with the correct answer.
Answer:
for pulling out a killer kiwi it would be 5/15 and 9/15 for crazy coconut
-0.4a + 3 = 7
a = ?
How can you use linear relationships to compare real-world
situations?
Answer:
Linear equations use one or more variables where one variable is dependent on the other. Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit.
Step-by-step explanation:
PLEASE HELP ME ASAP!!!!!!!!
Answer:
-3(-1)=
Step-by-step explanation:
Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.
Step-by-step explanation:
I just eyeballed it.
Answer:The Axis of Symmetry for [tex]h(x)[/tex] is the vertical line, [tex]x = 3[/tex].
pls help answer question in picture
Step-by-step explanation:
2 1/3
=2*3+1/3
=7/3
4. What is the slope of the line y = 3? (1 point)
Answer: Undefined or 0
Step-by-step explanation: Y=3 means there would just be a straight line across on (0,3) and when the slope and rise is 0 it means there is no slope or it is undefined
Help pleaseeeee it’s on algebraic proofs
Answer:
Given
Addition
simplify
answer
Step-by-step explanation:
Answer:
1. Given
2.Addition
3. simplify
4. answer
Step-by-step explanation:
HELP QUICK!! Sales tax is 6% in Virginia for most items. How much would you have to pay at the
register for an item with a price tag of $12.99?
Answer:
$13.77
Step-by-step explanation:
12.99 x 0.06
0.7794
0.7794+12.99
13.7694
$13.77
7/8 divided by (-13/7)
yo, i need some help :/
What is the domain of the function represented by the table?
A). all real numbers
B). x greater-than-or-equal-to 0
C). all integers greater than or equal to zero
D). {5, 10, 15, 20, 25}
Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.
Answer:
10
Step-by-step explanation:
For movie mania:
Sign-up fee = $ 20
Rent for 1 DVD = $ 4.00
For Hurricane video:
Sign-up fee = 0
Rent of 1 DVD = $ 6.
Let [tex]n[/tex] be the number of DVDs to rent in order for both stores to charge the same.
For movie mania, charge to rent [tex]n[/tex] DVDs = Sign-up fee + rent of [tex]n[/tex] DVDs
=20+4n
For Hurricane movie, charge to rent [tex]n[/tex] DVDs = Sign-up fee + rent of [tex]n[/tex] DVDs
=0+6n=6n
Now, for both stores to charge the same, both the charges must be equal, we have
6n=20+4n
[tex]\Rightarrow 6n-4n=20[/tex]
[tex]\Righatarroe 2n=20[/tex]
[tex]\Rightarrow n =20/2=10[/tex]
Hence, the required number of DVDs to rent is 10 in order for both stores to charge the same.
Lila thought of a whole number and added the next whole number to it. What was the original number she thought of if the sum was 22?
Answer:
10Step-by-step explanation:
Let the original whole number be x and the next whole number be x+2
If Lila added both number and the sum was 22, then:
x + (x+2) = 22
x+x+2 = 22
2x +2 = 22
2x = 22-2
2x = 20
divide both sides by 2
2x/2 = 20/2
x = 10
Hence the original number she thought of was 10
Which of the following statements contain a variable?
A. The time it takes to wash the dishes plus 30 minutes.
B. The age of my friend.
C. The number of kittens in a litter.
D. There are 24 hours in a day.
What is the opposite of negative 21 or -21 ?
Answer:
21
Step-by-step explanation:
because on a table, -21 and 21 are lined up together.
Multiply [tex]\frac{-9i}{-3 - 9i}[/tex] where i is the √-1
(-9i) / (-3 - 9i)
You can simplify to 9i/3+9i
Multiply by 3 - 9i / 3 - 9i
You get 27i + 81 / 90
Need help, please!!!
Read question carefully...
Given m//n, find the value of x
Answer:
117 is the value of you Question
Step-by-step explanation:
Para la venta de las misiones, la señora Susy preparó chilibeans , para lo cual compró 4 1/2 kg de frijol. Como no tenía una olla suficientemente grande, tuvo que prepararla en tres recipientes: dos de ellos eran del mismo tamaño, pero el tercero tenía la mitad de capacidad que los otros. ¿Cuánto frijol puso en cada recipiente si lo dividió de manera proporcional al tamaño de los recipientes?
Answer:
En cada recipiente grande coloco 1.8 kilos de frijoles y en el recipiente pequeño coloco 0.9 kilos.
Step-by-step explanation:
dividio los frijoles en 3 recipientes
volumen total de los 4 recipientes = 2x + 2x + x = 5x
esto se debe a que los 2 mas grandes tenian el mismo tamaño (2x), mientras que el pequeño tenia solo la mitad (x)
4.5 kilos de frijoles / 5 x
x = 0.9 kilos de frijoles
recipiente grande = 2 · 0.9 = 1.8 kilos