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3 years ago

7

Indira, Bonnie, and Chang all work at the same pet store. Indira works every other day. Bonnie works every fourth day. Chang wor

ks every fifth day. Today they all worked together. How many days will it be until they work together again?

1 answer:

ella [17]3 years ago

3 0

20 days until they work together again

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Hello! <br> i need help with question 67 & 68

Anni [7]

Answer:

67. A

68. D

Step-by-step explanation:

I don't remember exactly the explanation, but I recommend you try to learn more about number lines sometime when you aren't under stress from schoolwork, because they're pretty simple questions to answer once you get a better understanding of them!

6 0

2 years ago

The distance between New York City, NY, and Louisville, KY is 720 miles. One morning a train traveling 80 mph left from New York

beks73 [17]

Answer:

2 hours

Step-by-step explanation:

Given : The distance between New York City, NY, and Louisville, KY is 720 miles. One morning a train traveling 80 mph left from New York. Two hours later a slower train, traveling at 60 mph, left Louisville.

To find : How many hours will the slower train travel for before both trains will arrive at the same point?

Solution : Let the distance covered by NY is x

and let the distance covered by KY is y

Total distance covered is $x+y=720$ ........[1]

→ New York city,

Distance traveled = x

Speed of the train = 80 mph

Time taken = t+2

Formula is $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

$t+2=\frac{x}{80}$ .......[2]

→ Louisville,

Distance traveled = y

Speed of the train = 60 mph

Time taken = t

Formula is $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

$t=\frac{y}{60}$ .......[3]

Put the value of t from [3] into [2]

$\frac{x}{80}- \frac{y}{60}=2$ ......[4]

Now, we solve equation [1] and [4],

Put the value of y from [1] and put back in [4], $y=720-x$

$\frac{x}{80}- \frac{y}{60}=2$

$\frac{x}{80}- \frac{720-x}{60}=2$

$\frac{60x-80(720-x)}{80\times60}=2$

$60x-57600+80x=9600$

$140x-57600=9600$

$140x=57600+9600=67200$

$x=\frac{67200}{140}=480$

Put x=480 in [1]

$x+y=720$

$480+y=720$

$y=240$

So, The distance covered by train from New York city is x=480 miles

The distance covered by train from Louisville is y=240 miles.

Now put value of y in [3] to get time,

$t=\frac{y}{60}$

$t=\frac{240}{60}$

$t=4$

So, The time taken by train from Louisville is 4 hr.

The time taken by train from New York city is t+2=4+2=6 hr.

→ 6-4=2 hours will the slower train travel for before both trains will arrive at the same point.

7 0

3 years ago

Ariana has a large piece of fabric that she wants to use to make some scarves. The number N of scarves she can make is inversely

AveGali [126]

Answer:

9 scarves.

Step-by-step explanation:

We have been given that the number N of scarves Ariana can make is inversely proportional to the area A of each scarf.

We know that equation of two inversely proportional quantities in in form $y=\frac{k}{x}$ , where, k is constant of variation and y is inversely proportional to x.

Let us find constant of variation using our given information.

$N=\frac{k}{A}$

$15=\frac{k}{3}$

$15*3=\frac{k}{3}*3$

$45=k$

Now, we will substitute $A=5\text{ and }k=45$ in our equation to solve for N.

$N=\frac{45}{5}$

$N=9$

Therefore, Ariana can make 9 scarves.

8 0

3 years ago

for what values of A does the acute angle formed by the lines 3x+2y=10 and Ax-2y=3 have measure of 45 degree

Nonamiya [84]

Answer:

Step-by-step explanation:

8 0

2 years ago

Mark earned $240 in the first week and earns $680 in the fifth week. How much will he earn in the 20th week (suppose his earning

Irina18 [472]

Answer:

$ 2330

Step-by-step explanation:

a = $240

Earning at the end of fifth week = $ 680

increase in earnings per weak = ( 680 -240)/2 = 440/2 =110

d =110

l = a + (n-1)d

a20 = 240 + (19 * 110 ) = 240 + 2090 = 2330

6 0

3 years ago

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