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sineoko [7]
3 years ago
12

Increase 386.3 by 4%

Mathematics
1 answer:
Leni [432]3 years ago
8 0

Given:

Increase 386.3 by  4%.

To find:

The value for given statement.

Solution:

We have,

Initial value = 386.3

Increasing rate = 4%

The increased value is

\text{New value}=\text{Initial value + Increasing rate }\times \text{Initial value}

\text{New value}=386.3+\dfrac{4}{100}\times 386.3

\text{New value}=386.3+15.452


\text{New value}=401.752

Therefore, the required value is 401.752.

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A custodian plans to repaint some classrooms. He has 5 = gallons of paint. All of
dlinn [17]

Answer: 2 bookcases.

Step-by-step explanation:

Let be "x" the number of bookcases that the custodian will be able to repaint completly with 5 gallons of paint.

According to the data given, the custodian needs 2 gallons of paint to repaint one bookcase. Since all the bookcases are equal, you can set up the following proportion:

\frac{2}{1}=\frac{5}{x}

Now you must solve for "x" in order to find its value:

(x)(\frac{2}{1})=5\\\\2x=5\\\\x=\frac{5}{2}\\\\x=2.5

Notice that the custodian will be able to repaint 2 bookcases completely, then you can say that:

x\approx2

5 0
4 years ago
calculates the sum of the first 8 terms of an arithmetic progression starting with 3/5 and ending with 1/4
N76 [4]

We conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.

<h3>How to get the sum of the first 8 terms?</h3>

In an arithmetic sequence, the difference between any two consecutive terms is a constant.

Here we know that:

a_1 = 3/5\\a_8 = 1/4

There are 7 times the common difference between these two values, so if d is the common difference:

a_1 + 7*d = a_8\\\\3/5 + 7*d = 1/4\\\\7*d = 1/4 - 3/5 = (5 - 12)/20 = -7/20\\\\d = -1/20

Then the sum of the first 8 terms is given by:

3/5 + (3/5 - 1/20) + (3/5 - 2/20) + ... + (3/5 - 7/20)\\\\8*(3/5) - (1/20)*(1 + 2 + 3+ 4 + 5 + 6 + 7) = 3.4 = 34/10 = 17/5

So we conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.

If you want to learn more about arithmetic sequences:

brainly.com/question/6561461

#SPJ1

6 0
2 years ago
PLEASE HELP WILL MARK BRAINLIST!
storchak [24]
Every single one of those polynomials factors.  When factored, your expression looks like this: \frac{(3x-7)(x+3)}{x+3)(x-2)} * \frac{(2x+7)(x+9)}{(3x-7)(2x+7)}.  When you cancel the like factors out, what you're left with is this: \frac{1x+9}{1x-2}.  That means that b = 9, c = 1, and d = -2
7 0
3 years ago
triangle QRS is an equilateral triangle. If QR is seventeen more than twice x, RS is 19 less than six times x, and QS is one les
koban [17]

Value of x is 9 and measure of each side is 35 units.

<u>SOLUTION: </u>

Given, Triangle QRS is an equilateral triangle.  

QR is seventeen more than twice x, \rightarrow QR = 17 + 2x

RS is 19 less than six times x, \rightarrow RS = 6x-19

And QS is one less four times x, \rightarrow QS = 4x-1

We have to find x and measure of each side.

Now, we know that, sides of equilateral triangle are equal,  

Then QR = QS \rightarrow 17 + 2x = 4x-1 \rightarrow 4x-2x = 17 + 1 \rightarrow 2x = 18 \rightarrow x = 9

So, value of x is 9.

\begin{array}{l}{\text { Now, } \mathrm{QR}=17+2(9)=17+18=35} \\\\ {\mathrm{RS}=6(9)-19=54-19=35} \\\\ {\mathrm{QS}=4(9)-1=36-1=35}\end{array}

Hence, value of x is 9 and measure of each side is 35.

5 0
4 years ago
Which is true of an adjustable rate mortgage?
stealth61 [152]

Answer:

The rate of interest may vary , totally depends on the market value of that agency or company or the financial agency which is providing the mortgage money at certain rate. So, option (B) the interest rate may change depending on the condition of the economy is true statement regarding adjustable rate mortgage.Step-by-step explanation: hope it helps

5 0
3 years ago
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