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kvasek [131]
3 years ago
11

Find (3 × 104) + (7 × 102).

Mathematics
2 answers:
Mice21 [21]3 years ago
8 0
Solve the stuff in the parentheses
3*104=312
7*102=714

add them together
312+714=1026
Andreyy893 years ago
5 0
3 x 104 = 312
7 x 102 = 714
714 +312 = 1026
the answer would be 1026
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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
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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.

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Answer:

The resin materials cost per foot of finished product for June is $0.53

Option a) $0.53 is the right answer

Step-by-step explanation:  

Given the data in the question;

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Price per pound                         X$1.50               X$1.50                    X$1.50

Plastic material costs             $493,000         $640,000                 $677,000

Conversion costs                    $80,000           $120,000                 $115,000

Conduit output from

the process (feet)                   800,000           1,200,000                 1,130,000

Assuming that there is one-half pound of resin per foot of the finished product, determine the resin materials cost per foot of finished product for June.

Now;  

Materials cost for June = $640,000

Number of Feet produced as output in June =  1,200,000    

so

Material Cost per feet of finished product will be;

= $640,000 / 1,200,000

= $0.5333 ≈ $0.53

Therefore, the resin materials cost per foot of finished product for June is $0.53

Option a) $0.53 is the right answer

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