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Sonbull [250]
3 years ago
15

Find two consecutive integers such that 6 times the smaller integer is 26 less than 7 times the larger integer.

Mathematics
1 answer:
sertanlavr [38]3 years ago
8 0

Answer:

19 and 20

Step-by-step explanation:

let 'x' = first integer (smaller of the two)

let 'x+1' = next consecutive integer

6x = 7(x+1) - 26

6x = 7x + 7 - 26

6x = 7x - 19

-x = -19

x = 19

x+1 = 20

Check:

19(6) = 7(19+1) - 26

114 = 140 - 26

114 = 114

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Artemon [7]
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and the division does that say 13 divded by 7?
3 0
3 years ago
Name a fraction bigger than 1/1000.
kramer
A fraction bigger than 1/1000 could be anything equal to or higher than 1/1001.

ex. 1/3, 1/200, 1/9

Hope this helped. Have a great day!
5 0
3 years ago
Help, For each equation, use guess-check-and-improve to approximate a
Contact [7]

Answer:

B) 6

Step-by-step explanation:

3(6) + 8 = 26

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26 = 26

I don't know that method they are referring to. Seems pointless.

Typically, you would just set that equation up like:

3n + 8 = 26

    - 8      -8

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3 0
4 years ago
Please help solve quick
RoseWind [281]

Answer:

see below

Step-by-step explanation:

3x^2 + 17x +10 =0

(3x+   ) ( x+   ) =0

We need to factor 10  = 2*5  or 1*10

They are positive since we have all positive terms

3*5 = 15+2 = 17

The 5 needs to multiply the 3 so it goes on the outside

(3x+   ) ( x+  5 ) =0

That leaves the 2 on the inside

(3x+ 2  ) ( x+ 5  ) =0

Using the zero product property

3x+2 =0     x+5=0

3x = -2          x=-5

x = -2/3          x = -5

5 0
4 years ago
Person A can make a cupcake in 5 minutes, Person B can make a cupcake in 9 minutes. In total they made 168 cupcakes. How many cu
Stolb23 [73]

Answer:

Person A made 108 cupcakes and person B made 60 cupcakes.

Step-by-step explanation:

Person A makes 1 cupcake in 5 minutes.

Say in x minutes A makes : \frac{x}{5} cupcakes

Person B makes 1 cupcake in 9 minutes.

Say in x minutes B makes : \frac{x}{9} cupcakes

Total cupcakes prepared by A and B in x minutes = 168

\frac{x}{5}+\frac{x}{9}=168

\frac{14x}{45}=168

x=\frac{168\times 45}{14}=540

So, cupcakes made by A = \frac{540}{5}=108

Cupcakes made by B = \frac{540}{9}=60

Person A made 108 cupcakes and person B made 60 cupcakes.

5 0
4 years ago
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