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REY [17]
3 years ago
5

Translate the English expression into an equivalent mathematical expression, then simplify.

Mathematics
1 answer:
Pie3 years ago
3 0
326 (division sign) 40
Sorry I am on mobile so I don’t have the sign.
This will show you how much hourly pay is though because the given salary is for 40 hours.
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Does anyone know this
Phantasy [73]

The value of x is 20.

Solution:

Sides of one triangle are 2x – 4 and 39.

Sides of another triangle are x + 6 and 24.

<u>Property of similar triangle:</u>

<em>If two triangles are similar then their corresponding angles are congruent and the corresponding sides are in the same ratio.</em>

$\frac{2x-4}{24} =\frac{39}{x+6}

Do cross multiplication.

(2x-4)(x+6)=39\times 24

2x^2+12x-4x-24=936

2x^2+8x-24-936=0

2x^2+8x-960=0

Divide by 2 on each of the term.

x^2+4x-480=0

Solve using quadratic equation.

(x-20)(x+24)=0

(x-20)=0, \ (x+24)=0

x = 20,  \ x = -24

Ignore the negative term, because if you substitute this you will get a negative terms only. But length of sides cannot be in negative measures.

Therefore x = 20.

4 0
3 years ago
If you deposit $2000 into an account paying 6% annual interest, how much money will be in the account, after 5 years if it is co
Doss [256]

Answer:

$2,699.72

Step-by-step explanation:

Given that

The deposited amount is $2,000

The annual rate of interest is 6%

And, the time period is 5 years

We need to find out the amount that would be in the account in the case when it is compounded daily

So,

The following formula should be used

= Deposited amount × e^(rate, time period)

= $2,000 × e^(0.06,5)

= $2,000 × e^0.3

= $2,699.72

3 0
3 years ago
A scientist is observing the grizzly bear population in two state parks. The parks each have 150 bears when he begins observing
Mars2501 [29]
Nothing to drag; nowhere to drag it to.

Park A's population can be modeled by
.. y = 150*1.2^x

Park B's population can be modeled by
.. y = 150*0.8^x
5 0
3 years ago
Read 2 more answers
Two factors of 24 add up to 14 what are they
Levart [38]
12 and 2 are the two factors
4 0
3 years ago
Read 2 more answers
15 is 6% of what number?
satela [25.4K]

Answer:

250

Step-by-step explanation:

If 15 is 6% multiplying it by 16.66666666666667‬ will make it 100%

15 x 16.66666666666667‬ = 250

Another way to do this is divide by 6 and multiply by 100

7 0
3 years ago
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