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emmainna [20.7K]
2 years ago
14

Write a two-step problem that you can solve using strategy draw a diagram. Explain how you can use the strategyto find the solut

ion.
Mathematics
1 answer:
AlekseyPX2 years ago
4 0
I drew a diagram in the picture below, max collects rocks, max had 52 rocks, after giving some away he had 13 left. How many rocks did he give away? Hope this helps have an amazing day don’t forget to reword I little bit❤️

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Which expressions are equivalent to 2 (three-fourths x + 7) minus 3 (one-half x minus 5)? Check all that apply.
Mariulka [41]

Answer:

2(\frac{3}{4}x+7)+(-3)(\frac{1}{2}x+(-5))

2(\frac{3}{4}x)+2(7)+(-3)(\frac{1}{2}x)+(-3)(-5)

Step-by-step explanation:

The original expression given in the text is

2(\frac{3}{4}x+7)-3(\frac{1}{2}x-5)  (1)

And we want to check to what other expressions is equivalent. First of all, we solve it by writing explicitely each term:

\frac{3}{2}x+14-\frac{3}{2}x+15 (2)

Let's verify each of the other expressions separately. For the first one:

2(\frac{3}{4}x+7)+(-3)(\frac{1}{2}x+(-5))

We see that this is equivalent to expression (1), since the first half is identical, while in the second one, the combination "+-" can be simply written as "-", so we get

2(\frac{3}{4}x+7)-3(\frac{1}{2}x-5)

Which is equivalent to (1).

For the 2nd one:

2(\frac{3}{4}x)+2(7)+3(\frac{1}{2}x)+3(-5)

This is not equivalent. In fact, here we have applied the distributive property to each term: however, the 3rd and 4th term are not correct, because the (3) must be negative (-3), as in the original expression.

If we write it explicitely in fact, we get

\frac{3}{2}x+14+\frac{3}{2}x-15

Which is different from (2).

For the 3rd one:

2(\frac{3}{4}x)+2(7)+(-3)(\frac{1}{2}x)+(-3)(-5)

This one is equivalent. In fact, here we have applied the distributive property correctly. By solvign each term we get:

\frac{3}{2}x+14-\frac{3}{2}x+15

8 0
3 years ago
Read 2 more answers
Find the simple interest for a $8,000 loan for 2 years at a rate of 4% (formula: l=prt)​
Natali [406]

Answer:

S.I= 640

Step-by-step explanation:

I=prt

where p= $8,000

and r= 4%

and t= 2 years

$8,000×4%×2

8,000×4/100×2

80×4×2

=640

Therefore The S.I = 640.

6 0
3 years ago
Someone plz help I don’t even know what this means
Vikentia [17]
What you wanna do here is use a calculator, as "e" in mathematics refers to the "e" on a calculator. The tricky part about this question is that the answer for the equation is the given percentage, NOT the value for "x". From there, plug in the multiple choice answers for "x" and see which one works!

In this case, A is the correct answer. B is absurdly large, so I omitted it immediately in the attached picture.

5 0
3 years ago
Write the next three terms of the geometric sequence.
Sati [7]

Answer:

5, 1, 0.2

Step-by-step explanation:

Divide the number by 5 to get the next one.

8 0
3 years ago
Write the number below as a fraction in its simplest form<br> 0.41 recurring
Tomtit [17]

Answer:

12

Step-by-step explanation:

3 0
2 years ago
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