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Rudiy27
2 years ago
9

I need help with this problem. One number is 6 less than another number. The sum of the numbers is 24. Let x and y be the two nu

mbers.
Mathematics
2 answers:
Debora [2.8K]2 years ago
8 0

Answer:

y=9 and x=15

Step-by-step explanation:

ok looking at what they give us in the question we can see that we have two equations. to solve for it be will need to combine them together

note that because they use the word sum we know it's addition

y= x-6

x+y=24

now that we have these we can substitute y=x-6 for the y in our addition equaution such that we have it in terms of one variable:

x+ (x-6) = 24

2x-6=24

2x=30

x=15

now going back we can find Y

15+ y = 24

y=9

ycow [4]2 years ago
6 0

Answer:

what do I do I’m new

Step-by-step explanation:

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An employee earns a gross pay of $1,200.00 per week. The employee's net pay is $850.00. The employee's voluntary 401(k) contribu
Yuliya22 [10]

Answer:

$300 was deducted from tax. The tax rate is 26.1%

Step-by-step explanation:

An employee earns a gross pay of $1,200.00 per week. The employee’s net pay is $850.00. The employee’s voluntary 401(k) contribution is $50.00 per month.

There was blank deducted for taxes. The tax rate is blank

Solution:

Contributions that are made for retirement such as 401(k) contribution plans are made on a pretax basis. This means that they are removed from your taxable income, thereby reducing the tax.

Gross pay = $1200

Taxable income = Gross pay -  401(k) contribution

Taxable income = $1200 - $50 = $1150

Net pay = $850

Tax = Taxable income - Net pay

Tax = $1150 - $850

Tax = $300

Tax rate = (Tax / taxable income) * 100%

Tax rate = ($300 / $1150) * 100% = 26.1%

3 0
3 years ago
If Logx (1 / 8) = - 3 / 2, then x is equal to
snow_tiger [21]

Answer:

Let's solve!

Step-by-step explanation:

logx^{\frac{1}{8} } = -\frac{3}{2}

then

10^{-\frac{3}{2}} = x^{\frac{1}{8} }

(10^{-\frac{3}{2} })^{8} = (x^{\frac{1}{8} })^{8}

x = 10^{3*4} = 10^{-12}

x= 10^{-12}

If the equation looks like this, then it has the solution

x= 10^{-12}

Another answer is

√x = 2 or x = 4

I hope this helps!

For more help:

<u>brainly.com/question/9719370</u>

<u>brainly.com/question/7126917</u>

<u>brainly.com/question/3505855</u>

8 0
4 years ago
A group of three friends cycle from Llanfyllin to Vyrnwy at 12 km/h.
garik1379 [7]

The average speed for the journey from Llanfyllin to Bala is 14 km/h

Average speed is the ratio of total distance travelled to total time taken. Also, average speed can be given as the average of the different speeds.

Let d₁ represent the distance from Llanfyllin to Vyrnwy and t represent the time taken, since the speed is 12 km/h, hence:

12 = d₁/t

d₁ = 12t

Let d₂ represent the distance from Vyrnwy to bala and t represent the time taken. Since they spent the same time, since the speed is 16 km/h, hence:

16 = d₂/t

d₂ = 16t

Average speed = total distance/total time

Average speed = (d₁ + d₂) / (t + t)

Average speed = (12t + 16t) / 2t

Average speed = 28t / 2t

Average speed = 14 km/h

Hence their average speed for the journey from Llanfyllin to Bala is 14 km/h.

Find out more at: brainly.com/question/23774048

6 0
3 years ago
What slope equation is parallel to y=5x-10
Sloan [31]

Answer:

y = 5x + (anything except negative 10)

For example:

y = 5x + 5

Step-by-step explanation:

A parallel equation is any equation with the same slope, but a different y intercept. As long as your y intercept isn't<em> -</em> 10, your answer will be parallel.

5 0
3 years ago
The base of a 14-foot ladder is 2 feet from a building. If the ladder reaches the flat roof , how tall is the building
lutik1710 [3]
The building is around 14.14 feet tall

a^2 + b^2 = c^2
14^2 + 2^2 = 200
squareroot 200 is abt 14.14
7 0
3 years ago
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