Answer:
make y the subject of the formula
x=13(t-4y)
Step-by-step explanation:
y=mx+c
⟹(y)−c=(mx+c)−c
⟹y−c=mx+(+c−c)
⟹y−c=mx+0
⟹y−c=mx
⟹mx=y−c
⟹mx×(1m)=(y−c)×(1m)
⟹x×(mm)=1m(y−c)
⟹x×1=1m(y−c)
⟹x=1m(y−c)
The subject of the formula for y is y = 13t / x(1 + 52/x).
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given the equation as:
x = 13(t - 4y) / y
We have to make y the subject of the formula
x = 13(t - 4y) / y
Cross multiplication to get,
y = 13(t - 4y) / x
y = (13t - 52y) / x
y = 13t / x - 52y / x
Now group the y terms together and we get
y + 52y / x = 13t / x
The factor out the y to get
y(1 + 52/x) = 13t / x
y = 13t / x(1 + 52/x)
Therefore, the subject of the formula for y is y = 13t / x(1 + 52/x).
Learn more about the equation here:
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please answer fast
10 marks
Answer:
AB = 5.2 cm , ED = 5 cm
Step-by-step explanation:
Δ ABE and Δ ACD are similar by the AA postulate
Then the ratios of corresponding sides are in proportion , that is
(a)
[tex]\frac{AB}{AC}[/tex] = [tex]\frac{BE}{CD}[/tex] , substitute values
[tex]\frac{AB}{11.7}[/tex] = [tex]\frac{6}{13.5}[/tex] ( cross- multiply )
13.5 × AB = 70.2 ( divide both sides by 13.5 )
AB = 5.2 cm
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(b)
[tex]\frac{AE}{AD}[/tex] = [tex]\frac{BE}{CD}[/tex] , substitute values
[tex]\frac{4}{AD}[/tex] = [tex]\frac{6}{13.5}[/tex] ( cross- multiply )
6 × AD = 54 ( divide both sides by 6 )
AD = 9
Then
ED = AD - AE = 9 - 4 = 5 cm
Admission to a science museum is $22 for an adult. The cost for a child is $5 less than the cost for an adult. What would be the total cost of admission for 12 adults and 15 children? Explain.
Answer:
The total cost is 519
Step-by-step explanation:
22x12=264 and 22-5=17 so 17x15=255
264+255= 519
c) 2 x x 3 x y
Please help
I need a step by step explanation
n - 31
--------- = 2
4
Answer:
39
Step-by-step explanation:
4 x 2 = 8
8+ 31 is 39
Susan's checkbook had a balance of $422.05 on April 1. On April 5, she wrote a check for $106.30 to the auto repair shop. On April 7, she
wrote a check in the amount of $310.00 for rent. On April 9, her dad sent her $95.00 to deposit into her account. What is the balance of
Susan's account after this deposit?
Answer: 422.05-106.30-310.00+95.00=100.75
Step-by-step explanation:
your subtracting the 422/106/310 while you adding the $95
Slippery Slope
Two professional downhill skiers are going to begin a race. The skiers agree that Skier 1 is
slightly faster than Skier 2 so they decide that Skier 2 will get a 5 second head start to make the
race more competitive. Skier 1 skies at an average speed of 110 feet per second and Skier 2
skies at an average speed of 100 feet per second.
Who will win the race if the course is 5000 feet long?
Answer:
It would be a tie
Step-by-step explanation:
Skeir 1 in 5000 feet would go 45 seconds.
Skier 2 in 5000 feet would go 50 seconds
If skier 1 lets skeir 2 have a head start, then it means that that it would be 50-5, which would be 45.
A cylinder has a base radius of 8 meters and a height of 19 meters. What is its
volume in cubic meters, to the nearest tenths place?
Answer:V≈3820.18m3 the best i got
Step-by-step explanation: V=πr2h=π·82·19≈3820.17667m³ i hope this helps
Austin runs 6 miles in 50 minutes. At the same rate, how many miles would he run in 35 minutes?
Answer:
4.2 miles
Step-by-step explanation:
Speed = distance / time
Speed = 6 / 50 = 0.12 miles per minute
PS: You can change the minutes to hours if youd like and it'll be the same answer.
Since he is running at the same rate(speed)
Distance = speed * time
Distance = 0.12 miles/minute * 35 minutes = 4.2 miles
(if you changed your speed to be in miles / hour don't forget to change the 35 minutes to hours
The seventh grade class is raising money to have a class trip at the end of the year. They began the year with $2,500. Now they have 54.750 in the account. What is the percent increase for the money the
dass has raised? The dass figured out that if there is a percent increase of 99% from the beginning of the year, they will have enough to pay for every student. How much money wil they need to pay for every student?
The percent increase is
They will need to pay for every student?
Answer:
21.6%
Step-by-step explanation:
How to find where inflection points are.
The marked price of a woolen sweater is Rs 1750
. If the shopkeeper allows 20 %
discount and makes a profit of Rs 150, at what price did he purchase the sweater?
Find the angle measure.
The measure of the angle is ?
Answer:
133°
Step-by-step explanation:
The angle X is the same as the given.
[tex]\mathbb{ANSWER:}[/tex]
⇒ The two parallel lines are cut by a transversal so the interior angles on the same side of a transversal are congruent. This means that the measurement of the second angle is also 133 degrees.
Hence, the measurement of the angle is also 133 degrees.
solve pls brainliest
Answer:
Step-by-step explanation:
|x|=x,if x>0
|x|=-x,if x<0
(a)
|7-9|=|-2|=-(-2)=2
(b)
|7|-9=7-9=-2
A 150-pound person uses 4.8 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 250
calories?
Answer:
52.083
Step-by-step explanation:
1 min = 4.8 calories
? min=250calories
at the age speed
250/4.8 calories
=52.083min
Find x
pls help this is due tmr
Answer:
x = 60 degrees
Step-by-step explanation:
AOD is 360-240 which is 120 degrees
AOB is 120-90, so 30.
Since AOC is 90 degrees, BOC is 90-AOB, so 90-30, 60 degrees
x= 60 degrees
The path of a large arrow fired from a catapult can be modeled by y= -0.0044x^2+1.68x, where x is the distance the arrow traveled (in yards) and y is the height of the arrow (yards).
Give the height of the castle wall, find the safest distance from the wall to launch an arrow over the wall.
1. the height of the wall is 120 yards
2. the height of the wall is 100 feet.
Answer:
Step-by-step explanation:
Wwe can solve this in either of two ways: Differentiation or graphing.
Differentiation
y= -0.0044x^2+1.68x
y' = -0.0088x + 1.68
y' is an equation that tells us the slope of the line for any point x. We want to know when the arrow begins it's descent. That is the point of maximum height, and the slope of the line through that point will be zero. Set y' = 0 and solve for x:
0 = -0.0088x + 1.68
0.0088x = 1.68
x = 191
The maximum height is when the arrow has travelled 191 feet. Now put 191 feet into the equation to find the maximum height:
y= -0.0044x^2+1.68x
y(191) = feet
The maximum height is 160 feet
--
Graphing
See attachment.
what are equivalent ratios for 5:4here are the options: 5:4 10:4 15:12 10:8 5:8 4:5
15:12 is the equivalent ratio of 5:4
Ingrid is 3 times as old as Ernest. The sum
of their ages is 24. This is represented by the
equation e + 3e = 24, where e is Ernest's age.
How old is Ernest?
-
D. 21
C. 12
A. 3.
B. 6
Answer:
Ernest is six (B)
Step-by-step explanation:
e + 3e = 24
4e=24
[tex]\frac{4e}{4} =\frac{24}{4}[/tex]
e= 6
Question down below, Please answer if you know :)
Answer:
A
Step-by-step explanation:
Step-by-step explanation:
solve pls brainliest
Answer:
b
Step-by-step explanation:
I Think B is the right answer
Which is the best example of anticipating a potential accident in a science lab? A student skips the instructions because she has performed the lab before. A student checks for flammable liquids before lighting the Bunsen burner. A student keeps a glass of water on her lab bench in case she gets thirsty. A student works quickly so that she can be on time for her next class
Answer: C
Step-by-step explanation:
i took the test
Celine is making a special gelatin dessert for the Constellation Club meeting. She plans to fill
a large moon-shaped mold with 8 ounces of gelatin. She wants to use the rest of the gelatin
to fill small star-shaped molds. Each star-shaped mold holds 2 ounces, and the package of
gelatin she bought makes 48 ounces in all. How many star-shaped molds can Celine fill?
Answer:
Celine can fill 20 stars i believe
Step-by-step explanation:
(48-8)÷2=20
The number of star-shaped molds that Celine can fill will be 20.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
For the Constellation Club meeting, Celine is preparing an exclusive gelatin dessert. She intends to use 8 ounces of gelatin to fill a large moon-shaped mold. She plans to fill little star-shaped molds with the remaining gelatin. The bag of gelatin she purchased yields 48 ounces in total, with each star-shaped mold holding 2 ounces.
⇒ (48 - 8) ÷ 2
⇒ 40 / 2
⇒ 20
Then the number of star-shaped molds that Celine can fill will be 20.
More about the Algebra link is given below.
https://brainly.com/question/953809
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How to lnow the numberof turning points in a function.
Answer:
The maximum number of turning points of a polynomial function is always one less than the degree of the function. A turning point is a point of the graph where the graph changes from increasing to decreasing (rising to falling) or decreasing to increasing (falling to rising).
pls help asap! i will mark brainliest!
Step-by-step explanation:
that simply means that D is the middle point of AC.
and that means that both sides of D are equal long :
x + 8 = 2x - 17
25 = x
therefore
AB = x - 7 = 25 - 7 = 18
A candle is 14 inches tall. Once the candle is lit, it burns at a rate of 0.8 inches per hour. How many hours will the candle last?
Answer:
about 14 to 15 hours if it burns at that speed while it is burning
Answer:
17.5
Step-by-step explanation:
there are 16 children and 24 adults what percent are children and what percent are adults
Answer:
60% adult
40% children
Reasoning:
Add the adults and children first.
Then find the ratios of the children and parent percentages.
16:40 children
24:40 adult
16/40=2/5=0.4=40% children
24/40=3/5=0.6=60% adult
Answer:
40% is children and 60% in adults
Step-by-step explanation:
so if you add the two you have 40, 100% of 40 is 40 and 50% is 20, so we know that the children percent is less than 50, if you go through you will find that 40% of 40 is 16 therefor leaving the rest (aka 60%) to be adults
Determine the domain of each graph:
Answer:
The 1st
Domain is (1,-3)
The second
Domain is (R)
The 3rd
Domain = (R)
The 4th
Domain =(-1,+infinity )
Respectively
How to do multiplication with decimals.
Answer: just line up the decimals.
Step-by-step explanation:
is there a specific question I can help you with?
Which expression is undefined? (-4+0) O A. OB. 0 : 11 O c. OD. –
Answer:
C
Step-by-step explanation:
Third expression asks you to basically divide by zero. That is, find a number that multiplied by 0 gives you 3, which is impossible.
Hello!
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Option C
Division by 0 is undefined.
6-6=0, and any expression that has 0 it its denominator is undefined.
I hope it helps you! (:
~SparklingFlower
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leslie weighs her marbles in a jar and the scale reads 474 grams. The empty jat weighs 439 grams. each marble weighs 5. How many marbles are in the jar