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Pepsi [2]
3 years ago
13

in the cafeteria ,100 mike cartons were put out for breakfast.At the end of breakfast,27 remainded,what is the ratio of the numb

er of mike cartons taken to the total number of mike cartons?
Mathematics
1 answer:
IgorC [24]3 years ago
5 0
Number of cartons taken:
100 - 27 = 73
ratio of cartons taken : ratio of total cartons
73 : 100
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Sue takes 5 more cookies than her friend Jill. If sue puts 1 cookie back, how many does she have ?
Art [367]

Answer:

4

Step-by-step explanation:

5-1=4

6 0
3 years ago
Read 2 more answers
Find the sum of a finite geometric sequence from n = 1 to n = 7, using the expression −4(6)n − 1.
Verizon [17]

Answer:

<h2>-223,948</h2>

Step-by-step explanation:

The formula of a sum of terms of a gometric sequence:

S_n=a_1\cdot\dfrac{1-r^n}{1-r}

a₁ - first term

r - common ratio

We have

a_n=-4(6)^{n-1}

Calculate a₁. Put n = 1:

a_1=-4(6)^{1-1}=-4(6)^0=-4(1)=-4

Calculate the common ratio:

r=\dfrac{a_{n+1}}{a_n}\\\\a_{n+1}=-4(6)^{n+1-1}=-4(6)^n\\\\r=\dfrac{-4(6)^n}{-4(6)^{n-1}}=6^n:6^{n-1}\\\\\text{use}\ a^n:a^m=a^{n-m}\\\\r=6^{n-(n-1)}=6^{n-n+1}=6^1=6

\text{Substitute}\ a_1=-4,\ n=7,\ r=6:\\\\S_7=-4\cdot\dfrac{1-6^7}{1-6}=-4\cdot\dfrac{1-279936}{-5}=-4\cdot\dfrac{-279935}{-5}=(-4)(55987)\\\\S_7=-223948

7 0
3 years ago
Alex’s paycheck for the last two weeks totaled $239.64. He owes the cell phone company $45.87. How much money does he have left?
enyata [817]
239.64-45.87=193.77 the answer is $193.77
4 0
3 years ago
Samuel earned 18.90 working last weekend. He worked for 2 and 1 fourth hours. Which equation and solution represents e, the amou
Alexus [3.1K]

Answer:

The equation that represents the amount Samuel earns per hour is "e = (total earned)/(total time worked)", on last weekend he earned 8.4 per hour.

Step-by-step explanation:

Since Samuel worked a total of 2 and 1/4 hours it means that he worked:

hours worked = 2 + 1/4

hours worked = 8/4 + 1/4

hours worked = 9/4

He earned a total of 18.9 working that many hours. If we divide the total amount he earned by the number of worked hours we can find the total he earns per hour.

e = (total earned)/(total time worked)

e = 18.9/(9/4)

e = 18.9*(4/9)

e = 75.6/9

e = 8.4 per hour

The equation that represents the amount Samuel earns per hour is "e = (total earned)/(total time worked)", on last weekend he earned 8.4 per hour.

3 0
3 years ago
Find the volume of the cone shown as a decimal rounded to the nearest tenth.
Makovka662 [10]

Answer:

<h2> a.  392.7 yd³</h2><h2 />

Step-by-step explanation:

volume = 1/3 π r² h

where h = 15 yd.

           r = 5 yd.

<u>plugin values into the equation:</u>

volume = 1/3 π r² h

            = 1/3 * π * 5² * 15

            = 392.7 yd³

3 0
3 years ago
Read 2 more answers
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