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slava [35]
3 years ago
12

Karen can paint a wall in 2.5 hours. Stephanie takes 1.25 hours to paint the same size wall. How many minutes will it take for K

aren and Stephanie working together to paint the same wall?
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
8 0
If Karen takes 2.5 hours to paint the whole wall, then in an hour she paints a fraction of 2/5.
On the other hand, if Stephanie takes 1.25 hours then in an hour she paints a fraction of 4/5 of the wall.
When the two are working together then one hour they will paint a fraction of  6/5 of the wall. But the wall is one whole therefore it will take 5/6 hours or 50 minutes for them to paint the whole wall together. The answer is 50 minutes
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A designer wants to create a whisper chamber in the shape of an ellipse. He has a warehouse space with a longest length of 50 ya
Zanzabum

Answer:

22.9 yards

Step-by-step explanation:

Since b² = a² - c² where a = vertex of major axis, 2a = 50 yards the length of the major axis. So , a = 50/2 = 25 yards. c = focus of chamber = 10 yards from center and b = vertex of minor axis.

So, b = ±√(a² - c²)

= ±√(25² - 10²)

= ±√(625 - 100)

= ±√525

= ±22.91 yards

≅ ± 22.9 yards

Since b = length of minor axis from center of chamber = 22.91 yards. So, he should build the whisper chamber 22.9 yards out from the center of the chamber.

7 0
3 years ago
Angela is shopping for pet supplies and needs to buy a kennel and several toys. At Paws R Us, she would pay $50.75 for the kenne
zhenek [66]

Answer: t>6

Step-by-step explanation:

Amount to pay = Cost of kennel + (Cost per toy )x (Number of toys)

Let t = the number of pet toys Angela would need to buy for Paws R Us to be the cheaper option.​

Given, At Paws R Us, she would pay $50.75 for the kennel and $3.75 for each pet toy.

Amount to pay =  $(50.75 + 3.75t)

At Truth or Tail, she would pay $43.25 for the kennel and $5 for each pet toy.

Amount to pay =  $(43.25 + 5t)

According to the question , we have

50.75 + 3.75t < 43.25 + 5t

Subtract 3.75t from both sides

50.75+ 3.75t -3.75t   < 43.25 + 5t -3.75t

⇒ 50.75< 43.25 +1.25 t

Subtract  43.25 from both sides, we get

50.75 - 43.25 < 1.25 t

⇒  7.5< 1.25 t

Divide both sides by 1.25 we get

⇒   6<t

Hence, the required inequality to represent t, the number of pet toys Angela would need to buy for Paws R Us to be the cheaper option:

t>6 .

5 0
3 years ago
Find the x and y intercept. 3x + 2y = 12
iris [78.8K]

Answer:

x=4    y=6

Step-by-step explanation:

12 divide by 3 = 4

12 divide by 2 = 6

4 0
3 years ago
Read 2 more answers
What is 9 3/10 - 1 7/10
Step2247 [10]
9 3/10- 1 7/10 is 7.6 or 7 3/5
6 0
3 years ago
Aaron invested $740 in an account paying an interest rate of 5%
vlada-n [284]

The amount of money   Justin would have in his account than Aaron, to the nearest dollar is $0

What is the future value formula for continuous compounding cash flow?

The future value, which is used to determine the worth of this investment of $740 made now in 18 years is as shown below:

FV=PV*e^(rt)

FV=the worth of the investment in 18 years=unknown

PV=the amount invested today=$740

e=mathematical exponential value=2.7182818

r=rate of interest which compounded continuously=5%

t=time of investment in years=18

FV=$740*2.7182818^(5%*18)

FV=$740*2.7182818^(0.90)

FV=$740*2.459603087981220

FV=$1,820.11

Justin:

FV=PV*(1+r/m)^(n*m)

PV=$740

r=5%

m=number of times in a year that interest is compounded=365

m=number of years=18

FV=$740*(1+5%/365)^(18*365)

FV=$1,819.99

difference=$1,820.11-$1,819.99

difference=$0.12($0 to the nearest dollar)

Find out more about continuous compounding on:brainly.com/question/23136156

#SPJ1

8 0
1 year ago
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