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jasenka [17]
3 years ago
12

Please I need help!!!!

Mathematics
1 answer:
liberstina [14]3 years ago
5 0

Answer:

x = 19/3

Step-by-step explanation:

Solve for x:

30 x = 12 x + 22 + 23 (1 + 3)

Hint: | Evaluate 1 + 3.

1 + 3 = 4:

30 x = 12 x + 22 + 4 23

Hint: | Multiply 23 and 4 together.

23×4 = 92:

30 x = 12 x + 22 + 92

Hint: | Group like terms in 12 x + 22 + 92.

Grouping like terms, 12 x + 22 + 92 = 12 x + (92 + 22):

30 x = 12 x + (92 + 22)

Hint: | Evaluate 92 + 22.

92 + 22 = 114:

30 x = 12 x + 114

Hint: | Move terms with x to the left hand side.

Subtract 12 x from both sides:

30 x - 12 x = (12 x - 12 x) + 114

Hint: | Combine like terms in 30 x - 12 x.

30 x - 12 x = 18 x:

18 x = (12 x - 12 x) + 114

Hint: | Look for the difference of two identical terms.

12 x - 12 x = 0:

18 x = 114

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 18 x = 114 by 18:

(18 x)/18 = 114/18

Hint: | Any nonzero number divided by itself is one.

18/18 = 1:

x = 114/18

Hint: | Reduce 114/18 to lowest terms. Start by finding the GCD of 114 and 18.

The gcd of 114 and 18 is 6, so 114/18 = (6×19)/(6×3) = 6/6×19/3 = 19/3:

Answer: x = 19/3

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Setler79 [48]
You can find the numerical part of the answer because it is the same on the right side.

For example:
 ¹      <<==== Regrouped
  89
+
  67
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146   <<=== I had to press space so I could position it.

So that also happens in subtraction, the left side can be found by doing the same steps in the right column.
For example:

67
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5 0
3 years ago
30km=?miles<br>44,000in=?cm<br>21ft=?m<br>0.75miles=?dam<br>133yards=mm<br><br>Please show your work
kherson [118]
So there is this chart my teacher showed me to help find the answers to your questions I will send a picture but here are the answers

30km is 18.642m
44,000in is 111760cm
21ft is 6.401m
0.75m I’m not for sure sorry but
133yards is 121615.2mm

I hope that helps sorry I did not understand the one question 0.75m

5 0
3 years ago
What is the 51st term of the arithmetic sequence 29,9,-11
valina [46]

Answer:

-951

Step-by-step explanation:

an=a1+(n−1)d

\begin{gathered}29 = a_1 + (1-1)d\\29 = a_1\\9 = 29 + (2-1)d\\9 = 29 + d\\d = -20\\a_n = 29 -20 (n-1)\\a_n = 29 - 20n+20\\a_n = -20n + 49\\\\a_51 = -20(51) + 49 = -951\end{gathered}29=a1+(1−1)d29=a19=29+(2−1)d9=29+dd=−20an=29−20(n−1)an=29−20n+20an=−20n+49a51=−20(51)+49=−951

6 0
2 years ago
If you deposit $12,500 in an account that pays 4.5% interest quarterly, what is the balance after 8 years? How much did the acco
Masja [62]

In order to determine the balance of the account, use the following formula for the amount of money obtained after t years, basen on a compound interest:

A=P(1+\frac{r}{n})^{nt}

where,

P: principal = $12,500

A: amount earnt after t years = ?

r: interest rate in decimal form = 0.045 (4.5%)

n: times at year for the compund interes = 4 (quaterly)

Replace the previous values of the parameters into the formula for A and simplify:

\begin{gathered} A=12,500(1+\frac{0.045}{4})^{4\cdot8} \\ A=12,500(1+0.01125)^{32} \\ A=12,500(1.01125)^{32} \\ A=12,500(1.430451402) \\ A\approx17,880.64 \end{gathered}

Hence, the balance after 8 years is approximately $17,880.64 in the account.

The interest earnt by the account is given by the difference between the previous result and the principal invesment:

I = $17,880.64 - $12,500 = $5,380.64

Hence, the interest earnt is $5,380.64

3 0
1 year ago
What is the slope of the line that passes through the points (5,3) and (-4,1)​
wariber [46]

Answer:

\frac{2}{9}

Step-by-step explanation:

Formula to find the slope:\frac{y_{2}-y_1}{x_2-x_1}

Notice it doesn't matter for which point being y2/x2 or y1/x1.

Just to make our life easier, I choose (5,3) as our second point and (-4,1) as our first point.

\frac{3-1}{5-(-4)}

=\frac{2}{9}

5 0
3 years ago
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