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zzz [600]
3 years ago
15

find two consecutive integers such that ten more than twice the smaller is seven less than three times the larger

Mathematics
1 answer:
Radda [10]3 years ago
6 0
This is how I would work it out:

1st no. = x+1                 2x+10=3(x+1)-7
2nd no. = x                    2x+10=3x-4
                                              x=14   

1st no. is 15; 2nd no. is 14 

To check: 28+10=38; three times the larger is 45; and 38 is 7 less than 45.


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At a ceramic shop, each cup is $6.30 cheaper than each plate. If you totally spent $28.50 for 5 cups and 3 plates, what is the p
Alex Ar [27]
Let
x-------------> <span>the price of each cup
</span>y-------------> the price of each plate

we know that

5x+3y=28.50----------> equation 1
and
x=y-6.30--------------> equation 2

I substitute 2 in 1
5*(y-6.30)+3y=28.50---------> 5y-31.5+3y=28.5-----> 8y=60
y=7.5
x=y-6.3---------> x=7.5-6.3---------> x=1.2

the answer is
the price of each cup is $1.2
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8 0
3 years ago
Please help me ASAP <br> NO LINKS or files
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Answer:

1 (-9, -4)

2 (-6, 2)

Step-by-step explanation:

1- when you reflect along the x axis keep the x the same and change the y.

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2 years ago
83/10y-(38/11-11/4y)
IrinaK [193]

Answer:

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Step-by-step explanation:

5 0
3 years ago
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-10x + 35 + 5x = -5x + 20 PLs fix this error and answer it can you also show me the steps so I understand?
Vedmedyk [2.9K]

Answer:

-10x + 35 + 5x simplifies to -5x + 35.

Step-by-step explanation:

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= −10x + 35 + 5x

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2 years ago
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Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use
Firlakuza [10]
Given:
2 rectangular prism.
same height
square bases


                                    Box A     Box B
Square Base side          2 ft        0.75 ft
Height                            4 ft        4 ft

Solving for the space inside each rectangular prism, we need to find its volume.

Volume of a rectangular prism = length * width * height

Box A: 
Volume = 2 ft * 2 ft * 4 ft = 16 cubic feet

Box B:
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Box A - Box B = difference in space

16 cubic feet - 2.25 cubic feet = 13.75 cubic feet

Box A contains 13.75 cubic feet more space than Box B. 
8 0
3 years ago
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