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e-lub [12.9K]
2 years ago
8

How do I write 16,107,320 in expanded form?

Mathematics
1 answer:
Pani-rosa [81]2 years ago
3 0
In expanded form that would be 10,000,000 + 6,000,000 + 100,000 + 7,000 + 300 + 20
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For which values of p and q, will the following pair of linear equations have infinitely many
Tema [17]
In order to have infinitely many solutions with linear equations/functions, the two equations have to be the same;
In accordance, we can say:
(2p + 7q)x = 4x [1]
(p + 8q)y = 5y [2]
2q - p + 1 = 2 [3]
All we have to do is choose two equations and solve them simultaneously (The simplest ones for what I'm doing and hence the ones I'm going to use are [3] and [2]):
Rearrange in terms of p:
p + 8q = 5 [2]
p = 5 - 8q [2]
p + 2 = 2q + 1 [3]
p = 2q - 1 [3]
Now equate rearranged [2] and [3] and solve for q:
5 - 8q = 2q - 1
10q = 6
q = 6/10 = 3/5 = 0.6

Now, substitute q-value into rearranges equations [2] or [3] to get p:
p = 2(3/5) - 1
p = 6/5 - 1
p = 1/5 = 0.2
3 0
2 years ago
What is the answer to -26-(-49)?
Radda [10]

Answer:

23

Step-by-step explanation:

-26-(-49)=-26+49=23

7 0
2 years ago
Read 2 more answers
Each student in a class plays one of three sports soccer, volleyball or basketball. 1/4 of them play soccer. 3/5 of them play vo
Setler79 [48]

Answer: 3/20 of the class

Step-by-step explanation:

Add the amount of students that play soccer to amount of students that play volleyball

1/4 + 3/5 = 17/20

Subtract 17/20 (soccer and volley ball) from 20/20 or 1

20/20 - 17/20 = 3/20

7 0
3 years ago
The scale drawing at right shows the first slope of a house, the actual dimensions of the garage are 20 feet by 25 feet. All ang
ad-work [718]

Answer:

  • See below

Step-by-step explanation:

A)

<u>According to dimensions of the garage, the scale is:</u>

  • 1 in : 20 ft, as the width of the garage is 20 ft and on paper is 1 in

B)

Living room

<u>Dimensions on paper: </u>

  • 2 in x 1 1/4 in

C)

<u>Actual dimensions: </u>

  • 2*20 ft = 40 ft and
  • 1 1/4 * 20 ft = 25 ft

D)

<u>The area of the living room:</u>

  • A = lw = 25*40 = 1000 ft²

<u>Cost of carpet:</u>

  • 1000*$1.25 = $1250
4 0
2 years ago
Read 2 more answers
Hi, umm pls help<br><br> 1/6(x-5)=1/2(x+6), solve for x <br><br> And can you please explain
Mumz [18]

Answer:

By solving the equation \frac{1}{6}(x-5)=\frac{1}{2}(x+6) we found that   x=\frac{23}{2} \text { or }=11 \frac{1}{2}

<u>Explanation:  </u>

Given equation,

\frac{1}{6}(x-5)=\frac{1}{2}(x+6) to find x  

Step: 1 Cross multiply the denominators 2(x-5)=6(x+6)  

Step: 2 Open brackets and simplify the term 2x-10=6x+36  

Step: 3 Bring x terms on one side and simplify the equation the equation obtained is following,  

2x-6x=36+10

 -4x=46  

-x=\frac{46}{4}=\frac{23}{2}=11 \frac{1}{2}

Therefore, we solved x value from the given equation \frac{1}{6}(x-5)=\frac{1}{2}(x+6) as x=\frac{23}{2} \text { or }=11 \frac{1}{2}.

4 0
3 years ago
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