Hey mate ,
The ratio of Cylinder A to Cylinder B can be find by following steps ,
Volume of Cylinder A : Volume of Cylinder B
πr²h : πR²H
putting the known values , and cancelling same terms on both the sides4 : 8 ( as π and radius can be cancelled because they are same on both the sides)
Ratio :- 1:2
Five workers together can build a road in 20 days. Suppose every worker works at the same rate. Three workers work on the road for 10 days before eleven more workers join them. How much longer will it take the fourteen workers to finish the road?
Answer:
5 days
Step-by-step explanation:
This problem is an inverse proportion case. Having two variables: number of workers and time (in days); when we increase the number of workers, the time needed decreases; vice versa. Therefore, we can use the multiplication method: (workers * time) will always stay constant.
Let's say the time (in days) needed by the eleven workers is t,
5*20 = (3*10) + (14*t)
100 = 30+14t
70 = 14t
5 = t
It will take the eleven-workers 5 more days to finish the road.
Helppp I need this asap
Answer:
[tex]x = 35[/tex]
Step-by-step explanation:
We can use Similar Triangles Ratios to solve for the missing side length. First setup your ratios:
[tex]\frac{42}{6} = \frac{x}{5}\\x = \frac{42}{6} \times 5\\x = 35[/tex]
Answer:
35
Step-by-step explanation:
The sides are in proportion.
[tex]\frac{AB}{PQ} =\frac{AC}{PR}[/tex]? / 5 = 42 / 6? = 5 × 7? = 35Find P(Not a 3).
A. 0.30
B. 0.15
c. 0.85
D. 0.70
Answer:
P(Not a 3)=0.85. This is option C.
Step-by-step explanation:
P(Not a 3) would include values 1,2 and 4.
Therefore, P(Not a 3) would be the combined totals of the probabilities of P(1), P(2) and P(4).
P(Not a 3)= P(1)+P(2)+P(4)
P(Not a 3)= 0.30+0.40+0.15
P(Not a 3)=0.85
Alternate method
P(Not a 3) is the same as 1-P(3)
P(Not a 3)=1-P(3)
P(Not a 3)= 1-0.15
P(Not a 3)=0.85
what percent of 7 is 3.5
Answer:
50%Step-by-step explanation:
what percent of 7 is 3.5
3.5 is half of 7, so 100%: 2 = 50%
Answer: 50%
I have shown two methods, both work well and can be used to solve other scenarios as well.
[Method One]
We will set up a proportion and solve.
-> A percent divided by 100 is a decimal. This means 100% = 1 in our proportion
[tex]\frac{1}{7} =\frac{x}{3.5}[/tex]
7x = 3.5
x = 0.5
0.5 * 100 = 50%
[Method Two]
We will put the whole value in the denominator, and the "what percent of" value is the numerator.
[tex]\displaystyle \frac{3.5}{7}[/tex]
0.5
0.5 * 100 = 50%
How many pounds of walnuts that cost $0.80 per pound must be mixed
with 8 pounds of cashews that costs $1.25 per pound to make a mixture of
nuts that costs $1.00 per pound?
Answer:
The number of walnut pounds we need to add is 10
Step-by-step explanation:
We need to make a mixture that costs $1 per pound.
That means that the total cost of our mixture, divided by the number of pounds must be equal to 1.
[tex]\frac{MixtureCost}{NumberOfPounds} = 1[/tex]
Well, we know that the total cost of our mixture is equal to the cost of the cashews + cost of walnuts.
[tex]MixtureCost = CashewsCost + WalnutsCost[/tex]
We also know that we'll buy 8 pounds of cashews that cost $1.25 each and some amount of pounds (which we'll call x) of walnuts that cost $0.80.
Knowing all of that, we can write this:
[tex]MixtureCost=8*1.25 + x*0.8[/tex]
If we make that multiplication, we have that
[tex]MixtureCost=10+x*0.8[/tex]
Now that we know the cost of our mixture, we just need to know the total number of pounds... But we already know that, don't we?
We know that there are 8 pounds of cashews and x pounds of walnuts, so here's what we can write:
[tex]NumberOfPounds=8+x[/tex]
Now, if we plug in the values we found in the first equation, here's what we have:
[tex]\frac{10+x*0.8}{8+x}=1[/tex]
The 8+x is dividing, so i'll pass it to the other side multiplying:
[tex]10+0.8*x=x+8[/tex]
The 10 in the left side will go to the right side with a negative sign:
[tex]0.8x=x-2[/tex]
Now, if I pass the x from the right side to the left one changing signs:
[tex]0.8x-x=-2\\\\-0.2x=-2[/tex]
By changing signs from both sides, we have that:
[tex]0.2x = 2\\\\x = 10[/tex]
Therefore, the number of walnut pounds we need to add is 10
16. Farhan bought a bag and a wallet at a discount from a store. He was
given a discount of 30% for the bag. For the wallet, a discount was also
given. He saved a total of $66.60.
He paid a total of $121.40 for the 2 items and paid $46.60 more for the
bag than the wallet.
a) What was the price of the bag without discount?
b) What was the percentage discount given for the wallet?
A) the price of the bag without discount was $120, and B) the discount on the wallet was 45%.
PercentagesGiven that Farhan bought a bag and a wallet at a discount from a store, and he was given a discount of 30% for the bag, and for the wallet, a discount was also given, and he saved a total of $66.60, and he paid a total of $121.40 for the 2 items and paid $46.60 more for the bag than the wallet, to determine A) what was the price of the bag without discount, and B) what was the percentage discount given for the wallet, the following calculations must be performed:
(121.4 - 46.6) / 2 = Wallet37.4 = Wallet1-0.3 = 0.70.7 = 841 = X84 / 0.7 = X120 = X66.6 - (120 - 84) = X66.6 - 36 = X30.6 = X68 = 10037.4 = X37.4 x 100 / 68 = X55 = XTherefore, A) the price of the bag without discount was $120, and B) the discount on the wallet was 45%.
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Answer:A) the price of the bag without discount was $120, and B) the discount on the wallet was 45%.
Step-by-step explanation:
N
The accurate scale drawing shows
the positions of port P and a lighthouse L.
►
c)
N
Lindsey sails her boat from port P
on a bearing of 050°
She sails for 12 hours at an average
speed of 5 km/h to a port Q.
Ito-
L
p*
Scale: 1 cm represents 3 km.
a) Indicate the position of port Q on the drawing (use the x tool).
(2)
b) Find the distance, in km, of port Q from lighthouse L.
(1)
c) Find the bearing of port Q from lighthouse L.
)
(2)
Total marks: 5
Feedback
The Indication of the position of port Q on the drawing is shown by using the example of the image attached.
What is the distance about?To Indicate the position of port Q on the drawing (use the x tool).
12 * 5 = 60km
Note that S= VT
Because 1cm represent 3km
1/3 =x/60
3x = 60
x= 60/3
x= 20
So therefore, 60km needs 20cm.
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Find the area of the shapes below. Make sure to label your answers with units.
Figure a: The area of the triangle is 13.3 sq. km.
Figure b: The area of the rectangle is 57.4 sq. cm.
Figure c: The area of the parallelogram is 45.5 sq. km.
Figure d: The area of the trapezoid is 24.36 sq. m.
What is the area of a two-dimensional figure?The area of a two-dimensional closed figure is the total space within its boundary.
How to solve the question?In the question, we are asked to find the area of the given shapes.
Figure a:-
It is showing a triangle.
The area of a triangle is calculated using the formula:
Area = (1/2)*Base*Height.
Thus, the area of the triangle
= (1/2)*7*3.8 sq. km
= 13.3 sq. km.
Figure b:-
It is showing a rectangle.
The area of a rectangle is calculated using the formula:
Area = Length*Width.
Thus, the area of the rectangle
= 8.2*7 sq. cm
= 57.4 sq. cm.
Figure c:-
It is showing a parallelogram.
The area of a parallelogram is calculated using the formula:
Area = Base*Height.
Thus, the area of the parallelogram
= 9.1 * 5 sq. km
= 45.5 sq. km.
Figure d:-
It is showing a trapezoid.
The area of a trapezoid is calculated using the formula:
Area = (1/2)*(Sum of parallel sides)*(height).
Thus, the area of the trapezoid
= (1/2)*(2.7 + 8.9)*4.2 sq. m.
= 11.6 * 2.1 sq. m.
= 24.36 sq. m.
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Which of the following is not a real number?
A. √2
B. -2
C. √₁,
D. 0
how many numbers between 75 and 500 are divisible by 7?
Find the distance between each pair of points.
on graph paper.
K = (-21, -29) and L = (0, 0)
Answer:
~36 units apart
Step-by-step explanation:
(-21 - 0) = -21 (-29 - 0) = -29-21^2 = 441 -29^2 = 841441 + 841 =1282square root of 1282 is 35.8035.80 is ~36~36 units
Pls help urgent i will marke the brainlist
Answer:
Yes, because 8n + 4 = 4(2n + 1) because of the distributive property. And about the 4 = 52 - 8n, that is also equivalent to the rest of them because of the associative property.
OR
You could just solve the math and show that they are equivalent.
You buy milk at $2.48 per gallon. One portion of oatmeal requires 4 ounces of milk. How much does the milk for one portion cost?
Answer:
$0.01
Step-by-step explanation:
Convert gallons to ounces:
0.03125 Gallons of milk per serving
0.03125/2.48=0.0126008
Simplify:
0.01.
One portion costs 1 cent.
HELP I KEEP GETTING WRONG!
True Or False?
Click picture for the Questions!
Answer:
1. False
2. True
3. True
4. True
Step-by-step explanation:
A rational number is a number that can be written as a fraction of two integers. An irrational number can not be written as a fraction of two integers.
(Remember that an integer and a whole number are the same).
This means that...
All whole numbers/integers are rational.
This means that 1 is False and 2 is True3 is true for reasons mentioned above.
4 is just asking the same as 3.
A camera has a listed price of $615.99 before tax. If the sales tax rate is 9.25%, find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
559.01 i think that is rounded correctly
Step-by-step explanation:
so it did $615.99 - 9.25% = 559.010925
Hope This Is Good And Helped Sorry If i Did It Worng
Together, teammates Pedro and Ricky got 2682 base hits last season. Pedro had 280 more hits than
Ricky. How many hits did each player have?
Answer:
Ricky had 1201 hits and
Pedro hade 1481 hits
Step-by-step explanation:
Let Ricky be 'y'.
Since, Pedro hit 280 mroe than Ricky.
Pedro is 'y+ 280'
Thus,
y + y+ 280 = 2682
2y = 2402
y = 1201
Ricky had 1201 hits and
Pedro hade 1201 + 280 = 1481 hits
Answer:
See below ~
Step-by-step explanation:
Let :
Hits by Ricky = xHits by Pedro = x + 280Solving :
Mentions the sum is 2682x + x + 280 = 26822x = 2402x = 1201Solution :
Hits by Ricky = x = 1201 hitsHits by Pedro = x + 280 = 1201 + 280 = 1481 hitsDetermine the equation of the line that has an x-intercept of 6 and passes through the point (6,4)
a) How many 2-digit numbers have the digit 7 exactly once?
Answer:
17, 27, 37, 47, 57, 67, 87, 97.
8
Step-by-step explanation:
all are 2 digit numbers with exactly one 7 in each.
Answer:
8
Step-by-step explanation:
the two digit numbers that has 7 exactly once are 17, 27, 37, 47, 57, 67, , 87, 97from above, there are 8 two digitsSuppose your friend's parents invest $ 10,000 in an account paying 5% compounded annually. What will the balance be after 8 years?
Answer:
A = $14,745.544
Step-by-step explanation:
The equation for compound interest is
A = P (1+i)t
A = final value
P = amount invested (principal) (10000)
i = interest rate, expressed as a decimal (.05)
t = number of years invested (8)
This formula assumes annual compounding.
Plugging in what we know.
A = 10000(1.05)^8
A = 10000 (1.47745544)
A = $14,745.544
if (2x+5,7)=(7,y), find the value of x and y
[tex]\text{Given that,}~ (2x+5, 7)=(7,y)\\\\\text{So,}~ y = 7 ~ \text{and}~2x +5 = 7\\\\~~~~~~~~2x+ 5=7 \\\\\implies 2x = 7- 5 \\\\\implies 2x = 2\\\\\implies x = \dfrac 22 \\\\\implies x = 1\\\\\text{Hence,}~~ x = 1 ~ \text{and}~ y = 7[/tex]
Calculus, factor the given polynomial.
Answer:
x² + 10x + 21 = (x + 3)(x + 7)Step-by-step explanation:
x² + 10x + 21 = x² + (3x + 7x) + 21
= (x² + 3x) + (7x + 21)
= x(x + 3) + 7(x + 3)
= (x + 3)(x + 7)
Check the picture of the necessary information
solve by completing the square
Step-by-step explanation:
[tex] {x}^{2} + 2x - 2 = 0[/tex]
Now Adding three on both sides we get
[tex]{x}^{2} + 2x - 2 + 3 = 0 + 3[/tex]
[tex] {x}^{2} + 2x + 1 = 3[/tex]
[tex] {(x + 1)}^{2} = 3[/tex]
Adelle keeps track of the time her bus arrives at her stop. Since she has been keeping track, her bus has arrived on time 16 days and has been late on 4 days. Based on her data, what percentage of the time should Adele expect the bus to be late?
Answer:
25%
Step-by-step explanation:
4 days of 16 days is 25% or 1/4
Hope this helps! ;-)
pls help me with this 10 ponits
Answer:
I believe it is B
Step-by-step explanation:
what fraction of one day is 36 mins
Answer:
1 day = 1440min
so 36min of a day = 36/1440 = 1/40
Write the equation of the circle graphed below
Answer:
were is the circle to be to be equated
Step 1: 3x + 12 = 3 Step 2: ? Step 3: x = −9 ÷ 3 Step 4: x = −3 What is the missing Step 2? 3x = 9 3x = 15 3x = −9 3x = −15
The missing step is to subtract 12 from both sides of the equation.
The step would be:
3x = -9
Solve using substitution
y= 7x + 6
4x - 3y =16
Answer:
{y,x} = {-8,-2}
Step-by-step explanation:
Hope this helps.
please solve the problem
I want whole process
Answer:
1
Step-by-step explanation:
⠀
⠀
⠀⠀⠀⠀□ Question[tex] \Large \frac{ {x}^{p(q - r)} }{ {x}^{q(p - r)} } \div {( \frac{ {x}^{q} }{{x}^{p} } })^{r} [/tex]
⠀
⠀
⠀⠀⠀⠀■ Solution⠀
Multiplying the power⠀
[tex] \sf \Large{ \frac{ {x}^{pq - pr} }{ {x}^{pq - qr} } } \div \frac{ {x}^{qr} }{ {x}^{pr} } [/tex]
⠀
⠀
Changing ÷ sign into × by doing reciprocal⠀
[tex] \sf\Large{ \frac{ {x}^{pq - pr} }{ {x}^{pq - qr} } } \times \frac{ {x}^{pr} }{ {x}^{qr} } [/tex]
⠀
⠀
As the base(x) is same, if the value is multipying so the power will add, if the value is dividing so the power will subtract.⠀
[tex] \sf {x}^{pq - pr - pq + qr} \times {x}^{pr - qr} \\ \\ \sf {x}^{qr - pr} \times {x}^{pr - qr} \\ \\ \sf {x}^{qr - qr + pr - pr} [/tex]
⠀
⠀
If the power of any value become 0,so it's value is always equal to 1⠀
[tex] \sf \Large{ {x}^{0} } \\ \\ \boxed {\large {\rightarrow1 }}[/tex]
Answer:
1
Step-by-step explanation:
Solving :
⇒ [tex]\frac{x^{p(q-r)} }{x^{q(p-r)} }[/tex] ÷ [tex](\frac{x^{q} }{x^{p} })^{r}[/tex]
⇒ [tex]\frac{x^{p(q-r)} }{x^{q(p-r)} }[/tex] ÷ [tex][ ({x^{q-p} })^{r}| or| x^{r(q-p)} ][/tex]
⇒ [tex]{x}^{pq-pr-qp+qr}[/tex] ÷ [tex]x^{rq-rp}[/tex]
⇒ [tex]x^{pq-pq+qr-qr+pr-pr}[/tex]
⇒ x⁰
⇒ 1
