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castortr0y [4]
3 years ago
13

Ty needs to cut strips of wrapping paper that are each 9 inches wide. if Ty has 2 rolls of wrapping paper that are each 15 feet

long, how many 9-inch strips can he cut?
Mathematics
1 answer:
stiks02 [169]3 years ago
6 0
Find the total length in inches of one of the rolls:
15*12=180 inches.

Now multiply the length of one roll (180 inches) by 2 to find the total length:
180*2=360 inches.

Divide by the width of the strips to find the total number of strips:
360/9=40 strips

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Show work and explain with formulas.
3241004551 [841]

14 Answer: 28  

<u>Step-by-step explanation:</u>

S_\infty=\dfrac{a_1}{1-r}\\\\\sum\limits^\infty_{n=1} 35\bigg(-\dfrac{1}{4}\bigg)^n\implies a_1=35,\ r=-\dfrac{1}{4}\\\\\\S_\infty=\dfrac{35}{1-\bigg(-\dfrac{1}{4}\bigg)}=\dfrac{35}{\dfrac{5}{4}}=35\times \dfrac{4}{5}=7\times 4=\large\boxed{28}

15A Answer: 49  

<u>Step-by-step explanation:</u>

S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\\\\sum\limits^7_{i=1} i+3\\\\a_1=1+3\quad =4\\a_7=7+3\quad =10\\n=7\\\\\\S_7=\dfrac{a_1+a_7}{2}\cdot 7\\\\\\.\ =\dfrac{4+10}{2}\cdot 7\\\\\\.\ =\dfrac{14}{2}\cdot 7\\\\\\.\ =7\cdot 7\\\\.\ =\large\boxed{49}

15B Answer: 12  

<u>Step-by-step explanation:</u>

S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\\\\sum\limits^{10}_{k=3} k-5\\\\a_3=3-5\quad =-2\\a_{10}=10-5\quad =5\\n=8\\\\\\S_8=\dfrac{a_3+a_{10}}{2}\cdot 8\\\\\\.\ =\dfrac{-2+5}{2}\cdot 8\\\\\\.\ =\dfrac{3}{2}\cdot 8\\\\\\.\ =3\cdot 4\\\\.\ =\large\boxed{12}

16 Answer: \sum\limits^5_{n=1} 3n-2

<u>Step-by-step explanation:</u>

\{1, 4, 7, 10, 13\}\implies a_1=1,\ d=3,\ n=5\\\\\text{The explicit rule for an arithmetic sequence is: }a_n=a_1+d(n-1)\\\\a_n=1+3(n-1)\\\\.\ =1+3n-3\\\\.\ =3n-2\\\\\large\boxed{\sum\limits^5_{n=1} 3n-2}

8 0
3 years ago
There are 527 pencils,646 erasers and 748 sharpeners. These are to be put in separate packets containing the same number of item
sp2606 [1]

Answer:

  • 31 pencils
  • 38 erasers
  • 44 sharpeners

Step-by-step explanation:

The number of packets is the greatest common divisor of the given numbers of pencils, erasers, and sharpeners.

It can be helpful to look at the differences between these numbers:

  748 -646 = 102

  646 -527 = 119

The difference of these differences is 17, suggesting that will be the number of packets possible.

  527 = 17 × 31

  646 = 17 × 38

  748 = 17 × 44

The numbers 31, 38, and 44 are relatively prime (31 is actually prime), so there can be no greater number of packets than 17.

There will be 31 pencils, 38 erasers, and 44 sharpeners in each of the 17 packets.

_____

We may have worked the wrong problem. The way it is worded, the <em>maximum</em> number of items in each packet will be 527 pencils, 646 erasers, and 748 sharpeners in one (1) packet. The <em>minimum</em> number of items in each packet will be the number that corresponds to the maximum number of packets. Since 17 is the maximum number of packets, each packet's contents are as described above.

17 is the only common factor of the given numbers, so will be the number of groups (plural) into which the items can be arranged.

6 0
3 years ago
5h+4+52+64=180 what does that equal to
Softa [21]

Answer:

x=12

Step-by-step explanation:

5x+4+64+52=180

We move all terms to the left:

5x+4+64+52-(180)=0

We add all the numbers together, and all the variables

5x-60=0

We move all terms containing x to the left, all other terms to the right

5x=60

x=60/5

x=12

8 0
4 years ago
Which graph represents a function? A coordinate plane shows 4 points with the following coordinates: (negative 3, 3), (negative
Jet001 [13]

The ordered pair that represents a function is:

⇒ (-3, 3), (-2, -2), (1, 1), (2, -2)

<u>What are Coordinates?</u>

A pair of numbers that describe the exact position of a point on a cartesian plane by using horizontal and vertical lines are called the coordinates.

The given points are;

(-3, 3), (-3, -3), (-1, 1), (1, 4)

(-3, 3), (-2, -2), (1, 1), (2, -2)

(-3, 3), (-3, -3), (1, -4), (1, 1)

(-4, 4), (-4, 1), (-2, 1), (2, 1)

Now, For an ordered pair to be a function, either of the following must be true:

Each x-value has exactly one corresponding y-value.

More than one x-values have the same corresponding y-values.

And, If any of the following conditions is true, then the ordered pair is not a function,

One x-value has multiple corresponding y-values.

More than one x-values have multiple corresponding y-values.

From the given options, only ordered pair  (-3, 3), (-2, -2), (1, 1), (2, -2) satisfies the condition to be a function.

Because none of its x-values have multiple corresponding y-values.

And, Other ordered pairs are either one-to-many or many-to-many.

So, The ordered pair that represents a function is:

⇒  (-3, 3), (-2, -2), (1, 1), (2, -2)

To learn more about ordered pairs visit:

brainly.com/question/19267542

#SPJ1

4 0
1 year ago
Are these parallel, perpendicular, or neither?
Elina [12.6K]
Answer: I think it’s neither

Explanation:

The line is parallel unless the slope is the same and with a different y-intercept

The line are perpendicular unless the one of the slope is the negative reciprocal of the other.

And both equation didn’t meet any of the requirement.
5 0
3 years ago
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