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mylen [45]
2 years ago
10

If a lineman can install 12 insulators in 183/4 hours, how many insulators should he be able to install in 281/8 hours?

Mathematics
1 answer:
katrin2010 [14]2 years ago
3 0

Answer: 9

Step-by-step explanation:

12 insulators = 183/4 hours

x = 281/8

x × 183/4 = 12 ×281/ 8

183x/4 = 6 × 281/4

183x / 4 = 1686 / 4

4 cancel out 4

183x = 1686

Divide bothside by 183

x = 1686/183

x= 9.21311

x = 9 approximately.

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The slope of diagonal OA is ? and its equation is ?
Nimfa-mama [501]

Answer:

Slope = \frac{4}{3}

Equation of the line → y=\frac{4}{3}x

Step-by-step explanation:

Let the equation of diagonal OA is,

y = mx + b

Here, m = Slope of the line OA

b = y-intercept

Slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

m = \frac{y_2-y_1}{x_2-x_1}

Therefore, slope of the line passing through O(0, 0) and A(3, 4) will be,

m = \frac{4-0}{3-0}

m = \frac{4}{3}

Since, line OA is passing through the origin, y-intercept will be 0.

Therefore, equation of OA will be,

y=\frac{4}{3}x

3 0
2 years ago
To determine the density of grains, a student uses a 50ml beaker graded by 5ml increments and a scale with 1g absolute uncertain
labwork [276]

Answer:

The mass of the grains = 120 ± 1 g

Step-by-step explanation:

we are given the following:

Total mass of container + grains = 185 grams

Mass of container = 65 grams

Therefore, mass of grains is calculated as follows:

Mass of grains = ( Mass of container + grains) - mass of container

= 185 - 65 = 120 grams.

since the scale has an absolute uncertainty of 1 g, the mass of the grains is written as 120 ± 1 g

8 0
2 years ago
Write two expressions where the solution is 4
Angelina_Jolie [31]
There are many expressions that have solution 4. some are:
3+1 = 4
2+2 = 4
5-1 = 4
7-3 =4
8-4 = 4
...........
7 0
2 years ago
Gareth has $2,000 to invest. Putting the money in a savings account at his local bank will earn him 2.2% annual interest and giv
Alenkinab [10]

Answer:

Option c. 18 withdrawals is correct

Step-by-step explanation:

Gareth has to invest = $2,000

His local bank gives 2.2% annual interest and gives him the ability to make ATM withdrawals without any charges.

In an online savings gives 4.85% annual interest, but charges $3 every time he makes an ATM withdrawal.

Let us find the amount of interest earned from the local bank.

The amount of interest earned from Local Bank = 2.2% of 2000

= \frac{22}{100} × 2000

= 0.022 × 2000 = $44

The amount of interest earned from online savings = 4.85% of 2000

= \frac{4.85}{100} × 2000

= 0.0485 × 2000 = $97

As it is given that savings account has no ATM withdrawal charges but online savings account charge $3.00 per withdrawal.

so we  need to make x withdrawals from both accounts such that:

97 - 3x = 44

Let us solve for x.

Upon subtracting 97 from both sides of or equation we will get,

97 - 97 - 3x = 44 - 97

3x = -53

\frac{3x}{-3}=\frac{-53}{-3}

x = 17.666 rounded to 18

Therefore, Gareth must make 18 ATM withdrawals every year for the local savings account to be a better deal than the online savings account.

4 0
2 years ago
Is it possible to draw three lines in two planes such that all three lines are skew?
nata0808 [166]
Yes; it is possible 

<span>If the planes are parallel to each other then they don't intersect. </span>

<span>There can also be two or more lines on different planes which do not intersect each other. These lines are called skew lines.</span>
8 0
2 years ago
Read 2 more answers
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