Answer:
After 20 weeks both tanks have the same amount of fuel.
Diesel tank= 110 gallons
Gasoline tank= 110 gallons
Step-by-step explanation:
Giving the following information:
Diesel tank:
Total capacity= 210 gallons
Unitary daily use= 5 gallons
Gasoline tank:
Total capacity= 430 gallons
Unitary daily use= 16 gallons
First, we structure the total fuel loss formula for each tank:
Diesel tank= 210 - 5*x
Gasoline tank= 430 - 16*x
x= number of weeks
Now, we equal both formulas and isolate x:
210 - 5x = 430 - 16x
11x = 220
x= 20
After 20 weeks both tanks have the same amount of fuel.
Prove:
Diesel tank= 210 - 5*20= 110 gallons
Gasoline tank= 430 - 16*20= 110 gallons
what is 4/5 times 4?
Answer:
3.2
Step-by-step explanation:
Loch ness is the largest lake in Scotland.
The lake has a volume of water of 7.45x10^9 m^3.
The volume of water in Lake Superior is k times the volume of water in Loch ness.
Lake Superior = 8.21x10^10
Work out the value of k.
Give your answer correct to 3 significant figures.
Answer:
11.020
Step-by-step explanation:
vol of l.supe = k(lochness)
88.21 * 10^10 = k( 7.45 * 10^9)
divide and k =11.020
in fraction = 1642/149
If the area of a semicircle is 77cm² then find its perimeter.
[tex] \underline{\underline{\sf{ \color{purple}{Given :} }}} [/tex]
Area of the semicircle = 77 cm²
⠀ ⠀⠀ ⠀ ⠀⠀ ⠀
[tex] \underline{\underline{\sf{ \color{purple}{To\:Find :} }}} [/tex]
Perimeter of the circle⠀ ⠀⠀ ⠀ ⠀⠀ ⠀
[tex]\underline{\underline{\sf{ \color{purple}{Solution :} }}}[/tex]
[tex]\underline{\tt{As\:we\:know\:that,}}[/tex]
[tex]\star\:{\boxed{\sf{\purple{Area \: of \: circle} = 2 \times Area \: of \: semicircle}}}[/tex]
[tex] : \: \implies \sf{Area \: of \: circle = 2 \times 77cm^{2} }[/tex]
[tex]: \: \implies \sf{Area \: of \: circle =154 \: {cm}^{2} }[/tex]
━━━━━━━━━━━━━━━━━━━━━
[tex]\underline{\tt{Now, \: we\:know\:that,}}[/tex]
[tex]\star\:{\boxed{\sf{\purple{Area \: of \: circle} = \pi r^{2}}}}[/tex]
[tex] : \: \implies \sf{ 154 = \dfrac{22}{7} \times {r}^{2} }[/tex]
[tex] : \: \implies \sf{ 7 \times 7 = {r}^{2} }[/tex]
[tex] : \: \implies \sf{ 49 = {r}^{2} }[/tex]
[tex] : \: \implies \sf{ {r}^{2} = 49 }[/tex]
[tex] : \: \implies \sf{ {r} = \sqrt{ 49} }[/tex]
[tex] : \: \implies \sf{ {r} = { 7 cm} } [/tex]
━━━━━━━━━━━━━━━━━━━━━
[tex]\underline{\tt{Now, \: we\:know\:that,}}[/tex]
[tex]\star\:{\boxed{\sf{\purple{Perimeter} = \pi r + 2r }}}[/tex]
[tex] : \: \implies \sf{ Perimeter = \dfrac{22}{7} \times 7 + 2 \times 7 }[/tex]
[tex] : \: \implies \sf{ Perimeter = 22 + 14 }[/tex]
[tex] : \: \implies \sf{ Perimeter = 36 }[/tex]
[tex]\sf \therefore \: perimeter \: of \: the \: circle \: is \: 36cm[/tex]
━━━━━━━━━━━━━━━━━━━━━
somebody please help me !!
Answer:
16
Step-by-step explanation:
i think this is right
Select all that apply.
Which of the following ratios are equivalent?
3 to 4
6/7
15/20
3/4
Answer:15/20 3/4
Step-by-step explanation:
Because 3 times 5 =15 and 4 times 5= 20 so that will be 15/20
Then if you multiply 3 and 4 by 1 it will give you 3/4
Answer:
15/20 3/4
Step-by-step explanation:
please help me write in exponential notation ASAP
Answer:
The answer is 3⁴ or 81 :)
What is the area of the circle shown below?
Answer:
201.06
Step-by-step explanation:
Answer:
804.2cm squared i know this alright
f(x)= 3x² +x-2, then f(-2)
Answer:
12
Step-by-step explanation:
just substitute the value in the equation
if I have 19 red marble and 22 white marble. what is the ratio
Answer:
19:22
Step-by-step explanation:
you put red first since it came first
Question 3
True or false. A discount will add to the total cost you
will pay for an item.
Answer:
False
Step-by-step explanation:
24 * 5 is equal to 12 * ?
10
Step-by-step explanation:
24*5=12*10
120=120
find the area of shaded part
Answer:
461.81 cm²Step-by-step explanation:
Diameter of a big circle is 28 cmDiameter of smaller half-circles is 28/2 = 14 cmShaded area = Area of big circle - area of small circle as two half-circles add up to small circle
Area formula:
A = πd²/4Shaded area
π*28²/4 - π*14²/4 = 461.81 cm²To manufacture scooters, the manufacturer has a fixed cost of 34,400$$ plus a variable cost of n $$ per scooter. Find 100$$, the number of scooters that need to be produced so that the average cost per scooter is 180$$.
Answer:
The number of scooters that need to be produced so that the average cost per scooter is $180 is 430 scooters.
Step-by-step explanation:
Note: This question is not properly structured/written. The question is therefore rewritten properly before answering the question as follows:
To manufacture scooters, the manufacturer has a fixed cost of $34,400 plus a variable cost of $100 per scooter. Find n, the number of scooters, that need to be produced so that the average cost per scooter is $180.
The explanation of the answer is now provided as follows:
The number of scooters can be calculated as follows:
Variable cost per scooter = $100
n = number of scooter = ?
Total variable cost = Variable cost per scooter * n = $100 * n = $100n
Total cost = Fixed cost + Total variable cost = $34,400 + $100n
Average cost per scooter = Total cost / n = $180 ................ (1)
Substituting the value for Total cost into equation (1) and solve for n, we have:
($34,400 + $100n) / n = $180
$34,400 + $100n = $180n
$34,400 = $180n - $100n
$34,400 = $80n
n = $34,400 / $80
n = 430
Therefore, the number of scooters that need to be produced so that the average cost per scooter is $180 is 430 scooters.
You must show your staterment and reason T-chart to get full credit
Given: KS bisects Pą at T, Fą bisects RS at T.
Prove A PTS = AQTR
Step-by-step explanation:
RS bisects PQ at T. PQ bisects RS at T.
prove: Triangle PTS congruent Triangle QTR
Statements..............................Reasons(1) RS bisects PQ at T.................(1) Given
(2) PQ bisects RS at T.................(2) Given
(3) angle PST ≅ angle QRT........(3) supplements of congruent angles
(4) TS ≅ TR......................(4) Converse of Base Angles Theorem
(5) angle PTS ≅ angle QTR.........(5) Subtraction Property of Equality
(6) Triangle PTS ≅ Triangle QTR...(6) Angle side angle
Hope it's help you..... ^_^❤️
Question 1
The model shows 156 jelly beans divided equally among three
friends. How many jelly beans does each person get?
Answer:
52
Step-by-step explanation:
Answer:
52
Step-by-step explanation:
Help I’m bad at math
Answer:
None of the answers are correct.
Step-by-step explanation:
Maria's answer is incorrect:
1. "-1" is the y-intercept. 3x/4 is your rise/run.
2. Start from -1 on the y-axis.
3. Go up 3 units above, then 4 units to the right.
4. This leads up to being not on the line.
Peter's answer is incorrect:
1. "-1" is the y-intercept. -4x/3 is your rise/run.
2. Start from -1 on the y-axis.
3. Go down 4 units below, then 3 units to the right.
4. This leads up to being not on the line.
Please help! will mark brainliest if correct!
Answer:
points
Step-by-step explanation:
Fabulous fitness charges a one time fee of $90 and an additional $25 per month wonder weights charges a one time fee of only $ 27 dollars but charges an additional $32 each month for how many months is fabulous fitness less expensive than wonder weights? Set up and solve an equality to determine your answer
Answer:
9 months
Step-by-step explanation:
Given
Fabulous fitness charges a one-time fee of $90 and an additional $25 per month
let the number of months be x
and the total charges be y
y= 25x+90---------1
Wonder weights charges a one-time fee of only $ 27 dollars but charge an additional $32 each month
let the number of months be x
and the total charges be y
y= 32x+27------------2
Required
The value of x, that is the number of months
Step two:
Equating both equations we have
25x+90=32x+27
collect like terms
25x-32x=27-90
-7x=-63
7x=63
divide both sides by 7
x= 63/7
x= 9 months
4(0.5f−0.25)=6+f Solve for f
Answer:
F=4
Step-by-step explanation:
Answer:
4 (0.5f -0.25) = 6 + f (distribute to get rid of the parenthesis)
2f - 1 = 6 + f (subtract f from both sides)
f - 1 = 6 (add 1 to both sides)
f = 7
The measures of the angles of a triangle are shown in the figure below. Solve for x.
What is 3x + 2 = 4x - 1
Answer:
3 = x
Step-by-step explanation:
To simplify this equation, combine like terms:
3 = x
Tammy made a recipe that called for 3/4 teaspoon of salt. If the recipe is cut in half, how much salt is needed?
Answer:
answer is A your welcome
Answer:
If the recipe is cut in half, 3/8 teaspoon of salt is needed.
Step-by-step explanation:
Since the recipe is cut in half, we need to find 1/2 of 3/4. This means we need to multiply 1/2 times 3/4. For the numerator, 1 times 3 equals 3. For the denominator, 2 times 4 equals 8. The fraction is 3/8.
A cyclist tide his a bike at a speed of 27 miles per hour. What is this speed in miles per minute? How many miles will the cyclist travel in 15 minutes? Do not round your answers
Answer:
0.45 miles per minute and 6.75
Step-by-step explanation:
27/60=0.45<-- Miles per minute
0.45x15=6.75<--Miles in 15 minutes
Hope this helps pls give brainliest
Solve the inequality below 3-1/2x ≤ 11
I NEED HELP ASAP IT IS DUE AT MIDNIGHT PLEASEEEEEE!!!!
Answer:
A = -2.2
B = -1.7
C = 1.87
D = 19.97
Step-by-step explanation:
A = 7.4 - 9.6 = -2.2
B = -2.2 + 0.5 = -1.7
C = -1.1(-1.7) = 1.87
D = 18.1 + 1.87 = 19.97
Answer:
A = -2.2
B = -1.7
C = 1.87
D = 19.97
Step-by-step explanation:
What is the perimeter?
Answer:
26
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
6 +6=12
12+3=15
15+2=17
17+4=21
what’s the mean (average) for the data 12 4 16 20
Answer:
13
Step-by-step explanation:
Add all of the numbers, and divide by the amount of numbers. In this instance, all four added together numbers is 52, and divided by 4 is 13. Hope this helps!
Answer:
The answer is 13.
Step-by-step explanation: In order to find the average in a set of numbers, you must add all numbers and divide them by the numbers of numbers which you have added.
For example for your problem, I added 12 + 4 +16 +20 and I got 52. Then count the numbers which u have added. There are 4 numbers I have added. Then divide that number by the total. So it would be 52/4 and once you divide, you have your answer!
Hope this helps!
Rewrite using a single exponent. 4^3 X 4^6
|14 | + l -3 l =
Pls help meereeeerrrrr
Answer:
What…
Step-by-step explanation:
3 (2 + q) + 15 simplified
Answer:
3q+21
Step-by-step explanation:
Answer:
well i think you distribute the 3 to the two and the q so you multiply 3 * 2 = 6
3 * q = 3q then you add 6 + 3q = 9q
Step-by-step explanation: