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3 years ago

How to solve 3(2x-7)=5x+4

Mathematics

2 answers:

otez555 [7]3 years ago

4 0

The answer to the problem is
x=25

notka56 [123]3 years ago

3 0

You have to start by using the distributive property on the left side.
3(2x-7)=5x+4
6x-21=5x+4 Then remove and combine alike terms.
+21 +21
6x=5x+25
-5x -5x
x=25

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Please help me with this<br><br> 10x(3xy)

sineoko [7]

Answer:

Step-by-step explanation:

10x(3xy)

10*3*x*x*y

30x²y

6 0

3 years ago

Chocolate chip and peanut butter cookies are randomly chosen from a cookie jar and placed onto a plate. The first plate had four

soldier1979 [14.2K]

Answer:

3 peanut cookies

Step-by-step explanation:

Given that :

Plate 1:

Number of chocolate chip = 4

Number of peanut butter cookies = 1

Probability of drawing chocolate chip cookies from plate 1 :

Probability =( number of required outcome / Total possible outcomes)

P(chocolate chip) = 4 / 5

Plate 2:

Number of chocolate chip = 2

Number of peanut butter cookies = p

P(chocolate chip) = 2 / (2 + p)

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7 0

2 years ago

Alma invests $300 in an account that compounds interest annually. After 2 years, the balance of the account is $329.49. To the n

-Dominant- [34]

Invested amount (P) = $300.

Time in years (t) = 2 years.

Balance after 2 years (A) = $329.49.

Let us assume rate of interest = r % compounds annually.

We know, formula for compound interest

$A=P(1+r)^t$

Plugging values in formula, we get

$329.49=300(1+r)^2$

$\mathrm{Divide\:both\:sides\:by\:}300$

$\frac{300\left(1+r\right)^2}{300}=\frac{329.49}{300}$

$\left(1+r\right)^2=1.0983$

Taking square root on both sides, we get

$1+r=\sqrt{1.0983}$

$\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}$

$1+r-1=\sqrt{1.0983}-1$

$r=\sqrt{1.0983}-1$

$r=1.048-1$

r=0.048.

Converting it into percentage by multiplying by 100.

r=0.048 × 100

r = 4.8 %

Therefore, the rate of interest on the account is 4.8% compounds annually.

5 0

3 years ago

Rearranging literal equations!! really confused ASAPplease

valina [46]

Answer:

b = $\frac{8a-55}{5-a}$

Step-by-step explanation:

To clear the radicals square both sides

$\frac{1}{6-a}$ = $\frac{8+b}{b-7}$ ( cross- multiply )

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48 + 6b - 8a - ab = b - 7 ( subtract 48 from both sides )

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6b - ab = b - 55 + 8a ( subtract b from both sides )

6b - ab - b = 8a - 55, that is

5b - ab = 8a - 55 ← factor out b from each term on the left side )

b(5 - a) = 8a - 55 ← divide both sides by (5 - a)

b = $\frac{8a-55}{5-a}$

7 0

3 years ago

Please answer quickly I am unsure what to do

docker41 [41]

Answer:

Investment B is £97 more than investment A

Step-by-step explanation:

For investment A

£160is saved for 2 years every month

Total amount at the end of the two years= 2*160*12= £3840

The the percentage interest added is

=2.5/100*3840

= £96

Total amount= 3840+96

Total amount=£ 3936

For investment B

£3800 is compounded every year for two years at 3%

Total amount= 3800(1+0.03/2)^(2*2)

Total amount= 3800(1+0.015)^4

Total amount= 3800(1.015)^4

Total amount= 3800(1.061363551)

Total amount= 4033.18

Total amount= £4033

The difference between the two investment= 4033-3936

= £97

3 0

3 years ago