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Temka [501]
3 years ago
8

Help please 5 points

Mathematics
1 answer:
Mice21 [21]3 years ago
5 0

Answer:

the answer to this question is b

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Help due soon <br> find the area using 3.14 for π<br> round to the nearest Hundredth if you have too
andrey2020 [161]

Answer:

Circumference is about 185.26 cm.

Area is about 2732.585 cm^{2}

Step-by-step explanation:

Circumference = 2πr

2 x 3.14 x 29.5 = 185.26

Area of a circle = πr^{2}

3.14 x 29.5 x 29.5 = 2732.585

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Rae earns $8.40 an hour plus an overtime rate equal to 1(1/2)times her regular pay for each hour worked beyond 40 hours. What ar
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At $8.40 an hour for a 40 hour week the earnings would be $336. With 5 hours overtime the pay would be $12.60 an hour which equals $63 making her earnings a total of $399 for the 45 hour work week. would be Step-by-step explanation:

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Q3). <br><br>0.4x + 0.3y = 1.7 <br>0.7x - 0.2y = 0.8 <br><br>Solve it by using substitution method.​
Yuki888 [10]

Step-by-step explanation:

\green{\large\underline{\sf{Solution-}}}

<u>Given pair of linear equations are </u>

\rm :\longmapsto\:0.4x + 0.3y = 1.7 \\  \\ \rm :\longmapsto\:0.7x - 0.2y = 0.8

can be rewritten as on multiply by 10,

\rm :\longmapsto\:4x + 3y = 17  -  -  -  - (1)\\  \\ \rm :\longmapsto\:7x - 2y = 8 - -  -   -  - (2)

  • From equation (2)

\rm :\longmapsto\:2y = 7x - 8

\rm\implies \:\boxed{\tt{ y =  \frac{7x - 8}{2}}} -  -  -  - (3)

On substituting the value of y in equation (1), we get

\rm :\longmapsto\:4x + 3\bigg( \dfrac{7x - 8}{2} \bigg) = 17

\rm :\longmapsto\:\dfrac{8x + 21x - 24}{2}  = 17

\rm :\longmapsto\:29x - 24 = 34

\rm :\longmapsto\:29x = 34 + 24

\rm :\longmapsto\:29x = 58

\bf\implies \:x = 2 -  -  -  - (4)

On substituting x = 2 in equation (3), we get

\rm :\longmapsto\:y = \dfrac{7 \times 2 - 8}{2}

\rm :\longmapsto\:y = \dfrac{14 - 8}{2}

\rm :\longmapsto\:y = \dfrac{6}{2}

\bf\implies \:y = 3

So, we get

\begin{gathered}\begin{gathered}\bf\: \rm :\longmapsto\:\begin{cases} &\bf{x = 2}  \\ \\ &\bf{y = 3} \end{cases}\end{gathered}\end{gathered}

<h3><u>Verification</u></h3>

From equation (1),

\rm :\longmapsto\:0.4x + 0.3y = 1.7

On substituting the value of x and y, we get

\rm :\longmapsto\:0.4(2) + 0.3(3) = 1.7

\rm :\longmapsto\:0.8 + 0.9 = 1.7

\rm :\longmapsto\:1.7 = 1.7

<h3><u>Hence, Verified </u></h3>

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

<h3><u>Basic Concept :-</u></h3>

To solve systems using Method of Substitution, follow this procedure:

1. Select one equation and solve it for one of its variables.

2. In the other equation, substitute the value of one variable evaluated in step 1 to reduced the equation to one variable.

3. Solve the equation to get the value of this variable

4. Substitute the value found in to first equation involving both variables and solve for the other variable.

3 0
2 years ago
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