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Valentin [98]
3 years ago
13

Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of s

amples in her neighborhood. It takes Ashley 2/3 of a minute to prepare one bag. It takes each of her friends 75%, percent longer to prepare a bag.
How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?
Mathematics
2 answers:
irakobra [83]3 years ago
5 0

Answer:

5 1/3 hours.

Step-by-step explanation:

Ashley prepares 1 bag in 2/3 minutes.

One friend takes 2/3 + 3/4 * 2/3 = 7/6 minutes to make 1 bag.

4 of her friends can make 1 bag in 7/6 * 1/4 = 7/24 minutes.

If it takes x minutes for  Ashley and 4 friends to make one bag then we have:

1 / 2/3  + 1 / 7/24 = 1 / x

3/2 + 24/7 = 1/x

Multiply through by 14x:

21x + 48x = 14

x = 14/69 minutes.

So the  time to make 1575 bags = 1575 * 14/69

=  320 minutes.

hram777 [196]3 years ago
5 0

Answer:

5 3/5

Step-by-step explanation:

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Steven has $150. John has J dollars. Steven has 30 less than 2 times the amount John has. How much does John have?
Sedaia [141]

Answer:

J = 90

John has 90 dollars.

Step-by-step explanation:

We need to find how much money John has. To find how much J equals we need to break it down.

We already know that Steven has 150 dollars. We also know that he has 30 less than two times the amount John has.

Steven has 30 less than two times the amount John has.

So 150 + 30 = 180

180 is two times the amount John has.

Because 180 is two times the amount John has we need to divide by two.

180 ÷ 2 = 90.

J = 90. Therefore John has 90 dollars.

This question was tricky! I hope I helped a little! Have a great day!!

6 0
2 years ago
Find the first six terms of the sequence. a1 = 1, an = 4 • an-1
maksim [4K]
\bf \begin{array}{ccllll}
n&term&value\\
---&-----&-----\\
1&a_1&1\\
2&a_2&4\cdot a_{2-1}\\
&&4\cdot a_1\\
&&4\\
3&a_3&4\cdot a_{3-1}\\
&&4\cdot a_2\\
&&16\\
4&a_4&4\cdot a_{4-1}\\
&&4\cdot a_3\\
&&64\\
5&a_5&4\cdot a_{5-1}\\
&&4\cdot a_4\\
&&256\\
6&a_6&4\cdot a_{6-1}\\
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\end{array}
3 0
3 years ago
WILL GIVE BRAINLIEST
SVETLANKA909090 [29]

Answer:

The correct option is A.

Step-by-step explanation:

If a line passes through two points (x_1,y_1) and (x_2,y_2), then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

Let y be the profit (in millions) after x years.

From the given graph it is clear that the line passes through the point (1,-100).

The company paid for these costs and made combined profits of $80 million after 4 years. It means the graph passes through the point (4,80).

The line passes through (1,-100) and (4,80). So, the equation of line is

y-(-100)=\frac{80-(-100)}{4-1}(x-1)

y+100=\frac{180}{3}(x-1)

y+100=60(x-1)

y+100=60x-60

Subtract 100 from both sides.

y+100-100=60x-60-100

y=60x-160

The function form is

f(x)=60x-160

Therefore, the correct option is A.

6 0
3 years ago
a number is selected at random from set (2,3,45,6,7,8,9,and 10). which event covers the entire sample space of this experiment ?
ki77a [65]
I'm not sure I understand the question. Is this worded correctly?
8 0
3 years ago
Darius is a graphic designer he makes a sign for a company that has a width of 2 feet and a length of 2 feet 6 inches the compan
Sav [38]

Answer:

\frac{1}{3}

Step-by-step explanation:

Width of the sign made by Darius initially = 2 feet

Length of the sign = 2 feet 6 inches

Dimension of the flyer are 10 inches by 8 inches. Since, in original sign the measure of length is greater, therefore, the length of flyer is 10 inches and its width is 8 inches.

In order to find the scale factor we must convert the lengths and widths to same units. Lets convert the length and width of sign into inches.

Since, 1 feet = 12 inches

Length of the sign = 2 feet 6 inches = 2(12) + 6 inches = 30 inches

Width of the sign = 2 feet = 2(12) inches = 24 inches

Now we can find the scale factor by either comparing the lengths or widths of both the designs. Scale factor will be equal to the ratio of corresponding lengths/widths.

So, the scale factor would be:

Length of Flyer : Length of Sign

= 10 inches : 30 inches

= 1 : 3

= \frac{1}{3}

This shows, the length of flyer is \frac{1}{3} times as that of the sign. So, the scale factor that Darius must use is \frac{1}{3}. The length and width of the flyer are \frac{1}{3} as that of the sign.

The same scale factor would result if we would have used the ratio of widths instead of the lengths.

Scale Factor = Width of Flyer : Width of sign

= 8 : 24

= 1 : 3

Therefore, Darius must type the scale factor of \frac{1}{3} in his computer to get the size of the flyer.

7 0
2 years ago
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