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Triss [41]
3 years ago
9

1. You are making lanyards for your friends. You have 84 blue beads and 48 red beads. Each friend will receive some identical la

nyards, and all beads must be used.
(a) What is the greatest number of friends who can receive a lanyard? Explain your reasoning

(b) How many of each color bead will each friend receive on the lanyard? Explain your reasoning.
Mathematics
2 answers:
Lapatulllka [165]3 years ago
8 0

Answer:

(a) = 12

(b) = 7 blue, 4 red

Explanation: you would divide 84 and 48 by 12, because 12 is the highest number that will go into both of the numbers, so yea.

Hope this helps :)

Please mark me as Brainliest

scZoUnD [109]3 years ago
8 0

Answer:

12 friends, 7 blue and 4 red beads

Step-by-step explanation:

(a) The greatest number of friends who can receive a lanyard would be 12 friends. This is because 12 is the largest number that can evenly divide both 48 and 84.

(b) Each friend will receive a lanyard with 7 blue beads and 4 red beads. These numbers are found by dividing the number of each beads you have by the number of friends you give them to.

Blue beads/ # of friends

84/12=7

Red beads/ # of friends

48/12=4

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How can help me with it 4 x 5 - (2² - 2) =
Assoli18 [71]

Answer:

18 hope this makes sense

Step-by-step explanation:

2 and exponent =4 bc exponents make it multiply the same number again how ever many times is there. so it's

4 x 5 - (4 - 2)

4 x 5 - 2

20 - 2 = 18

4 0
3 years ago
Read 2 more answers
Mr Thompson, Please help!
BARSIC [14]

Problem 1

<h3>Answer: Choice C) x^2-4 </h3>

Explanation:

Use the difference of squares rule here.

That rule says (a-b)(a+b) = a^2-b^2

In this case, a = x and b = 2.

===========================================================

Problem 2

<h3>Answer: Choice B) 2x^2+7x+5</h3>

Work Shown:

(2x+5)(x+1)

y(x+1) ..... let y = 2x+5

xy+y

x(y) + 1(y)

x(2x+5) + 1(2x+5) ... plug in y = 2x+5

2x^2+5x+2x+5

2x^2+7x+5

===========================================================

Problem 3

<h3>Answer: Choice A)  -x^2-5x+7</h3>

Explanation:

The standard form of a quadratic is ax^2+bx+c, where a,b,c are real numbers. In the case of choice A, we have a = -1, b = -5, c = 7.

===========================================================

Problem 4

<h3>Answer: Choice D</h3>

Explanation:

Along the top we have three green rectangles. If each of them are of length x, then we have x+x+x = 3x so far. Then adding on a yellow piece of 1 unit leads to 3x+1 as the total horizontal width across the top.

Similarly, along the left side we have 1 green portion and 2 yellow leading to x+2. So this shows why this diagram represents (3x+1)(x+2)

A rectangle must be formed with the smaller pieces glued together. We cannot have any gaps or overlaps. The reason we're aiming for a rectangle is because the area of a rectangle is length*width. Think of (3x+1) as the length and (x+2) as the width.

8 0
3 years ago
What is a real-world situation that can be modeled by the equation | x - 14 | = 3?
Anna [14]
Absolute value is the distance/difference from a number to the standard number. In this case, the standard value is 14. Let's say 7-year-old Mike is riding his bike up and down the neighborhood street. Mike's house is located on 14th Avenue. Mom told Mike to stay within 3 blocks from home, so Mike can go as far north the 17th street and as far south to 11th street. 
x-14=3 or x-14=-3
x=17 or x=11

I hope this makes sense to you.
5 0
3 years ago
Find three mixed numbers so that the sum is 18 and the difference between the greatest number and least number is 5 1/5
Zigmanuir [339]
Suppose y=0. That means 
<span>x+z = 18 </span>
<span>x-z = 26/5 </span>

<span>x = 58/5 </span>
<span>z = 32/5 </span>

<span>So, the largest x can be is 58/5 </span>
<span>Now, suppose we toss in y. If we subtract y/2 from both x and z, then the difference between x and z is still 26/5, and the sum is </span>

<span>(x-y/2) + y + (z-y/2) = x+z = 18 </span>

<span>For example, if y = 4, </span>

<span>x = 48/5 </span>
<span>y = 20/5 </span>
<span>z = 22/5 </span>

<span>x-z is still 26/5, and the sum is still 18. </span>
7 0
4 years ago
Find the coordinates of the point 7/10 of the way from A to B. a=(-3,-6) b=(12,4)
Artemon [7]

Answer:

The coordinates of M are x = \frac{15}{2} and y = 1.

Step-by-step explanation:

Let be A = (-3,-6) and B = (12, 4) endpoints of segment AB and M a point located 7/10 the way from A to B. Vectorially, we get this formula:

\overrightarrow {AM} = \frac{7}{10}\cdot \overrightarrow {AB}

\vec M - \vec A = \frac{7}{10}\cdot (\vec B - \vec A)

By Linear Algebra we get the location of M:

\vec M = \vec A + \frac{7}{10}\cdot (\vec B - \vec A)

\vec M = \vec A +\frac{7}{10}\cdot \vec B - \frac{7}{10}\cdot \vec A

\vec M = \frac{3}{10}\cdot \vec A + \frac{7}{10}\cdot  \vec B

If we know that \vec A = (-3,-6) and \vec B = (12, 4), then:

\vec M = \frac{3}{10}\cdot (-3,-6)+\frac{7}{10}\cdot (12,4)

\vec M = \left(-\frac{9}{10},-\frac{9}{5}  \right)+\left(\frac{42}{5} ,\frac{14}{5} \right)

\vec M =\left(-\frac{9}{10}+\frac{42}{5} ,-\frac{9}{5}+\frac{14}{5}   \right)

\vec M = \left(\frac{15}{2} ,1\right)

The coordinates of M are x = \frac{15}{2} and y = 1.

6 0
4 years ago
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