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3 years ago

When the smaller of two consecutive integers is added to four times the larger, the result is 49. Find the integers.

Mathematics

1 answer:

ryzh [129]3 years ago

8 0

$4(n+1)+n=49\\
4n+4+n=49\\
5n=45\\
n=9\\
n+1=10
$

These numbers are 9 and 10.

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Anyone? Please I need help!!

JulsSmile [24]

Answer:

the correct choice is marked

Step-by-step explanation:

Let x represent the smaller number. Then the larger number is 8x, and the difference is ...

8x -x = 280

7x = 280 . . . . . simplify

x = 40 . . . . . . divide by 7

The larger number is 8x = 8(40) = 320.

_____

<em>Additional comment</em>

Effectively, we have solved for the multiplier (40) that gives the ratio with 320 on top and a difference between top and bottom of 280:

$\dfrac{8}{1}=\dfrac{8\cdot40}{1\cdot40}=\dfrac{320}{40}$

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2 years ago

Given y = x + 1 Calculate y if x = 3. y is a natural number

kompoz [17]

Answer:

y = 4

Step-by-step explanation:

If 3 is x than you can substitute x for 3. y = 3 + 1. Then when you add y = 4

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3 years ago

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Hello, happy Friday, I am just here with some geometry questions.

irga5000 [103]

Answer:

VW = 43.2

Step-by-step explanation:

First, we can see that VZ = 88 - 55 = 33.

Then by the Triangle Proportionality Theorem, we can write that:

$\displaystyle \frac{55}{33}=\frac{72}{VW}$

Simplify:

$\displaystyle \frac{5}{3}=\frac{72}{VW}$

Cross-multiply:

$216=5VW$

So:

$\displaystyle V=\frac{216}{5}=43.2$

3 0

3 years ago

Please answer this question

Papessa [141]

I don’t get it either

4 0

3 years ago

) Tara earns twice as much per hour as Kayte.

Cerrena [4.2K]

Answer:

Austin's hourly wage is $8.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

Tara's hourly wage is x.

Kayte's hourly wage is y.

Austin's hourly wage is z.

Tara earns twice as much per hour as Kayte.

This means that $x = 2y$

Kayte earns $3 more per hour than Austin.

This means that $y = z + 3$

As a group, they earn $41 per hour.

This means that $x + y + z = 41$

What is Austin's hourly wage?

This is z.

$x + y + z = 41$

$y = z + 3$ and $x = 2y$ , so $x = 2(z + 3) = 2z + 6$

$x + y + z = 41$

$2z + 6 + z + 3 + z = 41$

$4z + 9 = 41$

$4z = 32$

$z = \frac{32}{4}$

$z = 8$

Austin's hourly wage is $8.

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4 years ago

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