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pantera1 [17]
4 years ago
8

Mike and alice recycled 147 bottles altogether. Mike recycled 6 times as many bottles as Alice. How many bottles did alive recyc

le
Mathematics
2 answers:
meriva4 years ago
8 0

total=147

a:m

1:6 =7

147÷7=21

21×1=21

alice recycled 21 bottles

Hitman42 [59]4 years ago
6 0

Answer:

21

Step-by-step explanation:

We have an equation in the first sentence we are given.  Mike and Alice together recycled 147 bottles, so in equation form that looks like this:

M + A = 147.

That alone doesn't do us much good because we have 2 unknowns.  The next sentence gives us Mike's number of bottles based on Alice's.  If the number Mike recycles is 6 times as many as Alice, replace the word "is" with an "=" and "6 times as many as Alice" with 6A to get:

M = 6A

Now we can go back to the first equation and replace M with 6A:

6A + A = 147

Now we only have A's.  That's a good thing.  Solve for A:

7A = 147

A = 21

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2. What is the solution to the inequality<br> --4x &gt; 132? Show your work
laila [671]

Answer:

x < -33 ( mark me as the brainliest )

Step-by-step explanation:

1) -4x > 132

2) -4x/4 > 132/-4

3) x < -33

5 0
3 years ago
Factor the expressions .<br> 36 + 8z
Sophie [7]

Answer:

4 × ( 9 + 2z)

Step-by-step explanation:

36 + 8z = 4 × (9) + 4 × (2z) ; so here 4 is a common factor

            = 4 × ( 9 + 2z)  

we can also write it like this

36 + 8z = 2 × ( 18 + 4z)

3 0
3 years ago
46 + (-2k) a. for k =3 b.for k = 23 k = -2
mamaluj [8]

9514 1404 393

Answer:

  a.  40

  b.  0

  c.  50

Step-by-step explanation:

a) 46 + (-2k) for k = 3 is ...

  46 + (-2(3)) = 46 -6 = 40

__

b) 46 + (-2k) for k = 23 is ...

  46 + (-2(23)) = 46 -46 = 0

__

c) 46 + (-2k) for k = -2 is ...

  46 + (-2(-2)) = 46 +4 = 50

3 0
3 years ago
Find the volume of this right rectangular prism. [Type your answer as a number.]
irakobra [83]
There is no picture
3 0
3 years ago
Point A of rectangle ABCD is located at coordinates (3,7). If rectangle ABCD is translated down 7 and left 5, what are the new c
uranmaximum [27]

Answer:

The new co-ordinates are A¹ ( -2 , 0)

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Point A of rectangle ABCD is located at coordinates (3,7).

<u><em>Type of transformation </em></u><em>                               </em><u><em> change of co-ordinate point</em></u>

<em>Vertical translation up 'd' units                   (x, y)→ (x, y +d)</em>

<em>Vertical translation down 'd' units              (x, y)→ (x, y -d)</em>

<em>Horizontal translation left 'C' units              (x, y)→ (x - c , y) </em>

<em>Horizontal translation right 'C' units             (x, y)→ (x + c , y) </em>

<u><em>Step(ii</em></u><em>):-</em>

<em>Given rectangle ABCD is translated down 7 and left 5</em>

<em>Given Point A(3 ,7) </em>

Vertical translation down '7' units  t

The new co-ordinate A¹ ( 3 , 7-7)→ A¹( 3, 0) and Horizontal translation left ''5' units

Now the new co-ordinates are A¹ ( 3-5 , 7-7)

<u><em>Final answer:-</em></u>

The new co-ordinates are A¹ ( -2 , 0)

7 0
3 years ago
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