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Mashcka [7]
3 years ago
10

A machine paints 340 toy boats in 45 minutes.Which expression equals the rate per hour?

Mathematics
1 answer:
Elenna [48]3 years ago
8 0

Answer:

The expression for rate per hour is \frac{340}{45}\times 60.

Explanation:

Given:

A machine paints 340 toy boats in 45 minutes.

To Find:

Expression equals the rate per hour?

Solution:

Finding the expression for rate per minute:

\text{{The rate per minute expression}} =\frac{\text{{ (number of toys painted in time given)}}}{\text{{(number of minutes taken)}}}

So, rate per minute expression is \frac{(340 toys)}{(45 minutes)} = \frac{340}{45}

Then, rate per hour expression \text{{rate per minute}}\times 60 minutes

So, rate per hour expression is \frac{340}{45}\times60 minutes= 453.334 toys per hour.

Hence, the expression for rate per hour is \frac{340}{45}\times 60

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4.009 x 10-3 in decimal form
katrin2010 [14]

Answer:

the 3 represent a one thousand

so that means 4.oo9* 1000 = =49

4 0
3 years ago
What is the quoteient of -3/8 and -1/3 ​
Nonamiya [84]

Answer:

9/8 I think I could be wrong tho

5 0
3 years ago
Y-intercept of a line that has a slope of 2 and passes<br> through the point (4, 6).
tia_tia [17]

Answer:

<h2>         b = -2</h2>

Step-by-step explanation:

The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.

m = 2

(4, 6)    ⇒   x₀ = 4,  y₀ = 6

So, the point-slope form of equation:

y - 6 = 2(x - 4)

Changing to the slope-intercept form of the equation of the line (y = mx + b, where m is the slope and b is the y-intercept of the line):

y - 6 = 2x - 8               {add 6 to both sides}

y = 2x - 2    ⇒  b = -2

6 0
2 years ago
2 sin^2 (x) -5 sin (x) -3=0
andreyandreev [35.5K]

we have that

2sin^{2} x-5sin x-3=0

I. Rewrite the equation by substituting the expression u in for sin x.

2u^{2} -5u-3=0

II. Factor the quadratic expression. Rewrite the equation with factors instead of the original polynomial.

2u^{2} -5u-3=0 is equal to

using a graph calculator-----> see the attached figure

(u-3)*(2u+1)=0

III. Use the zero product property to solve the quadratic equation.

(u-3)*(2u+1)=0

(u-3)=0--------------> u=3

(2u+1)=0-------- 2u=-1------> u=-1/2-----> u=-0.5

IV. Rewrite your solutions to Part III by replacing u with sin x.

sin x=3--------> is not the solution (sin x can not be greater than 1)

sin x=-0.50------>is the solution

V. Solve the remaining equations for x, giving all solutions to the equation.

sin x=-0.50

if the sine is negative

then

x belong to the III or IV quadrant

we know that

sin 30°=0.50

so

the solution for the III quadrant is

x=180°+30°-------> x=210°

the solution for the IV quadrant is

x=360°-30°------> x=330°

5 0
3 years ago
2.<br> A policeman took 2 hours to travel 100 miles. What speed was he travelling at?
Darya [45]

Answer:

50 miles per hour!

Step-by-step explanation:

If 2 hours equal 100 miles, then 1 hour will be 50!

Hope this helped!

4 0
3 years ago
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