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Maurinko [17]
4 years ago
7

The production line where you work can assemble 5 amplifiers every 30 minutes. At this rate, which correctly calculates the numb

er of hours it takes to assemble 230 amplifiers?
Mathematics
1 answer:
SashulF [63]4 years ago
4 0
5 amplifiers in 30 minutes is the same as 10 amplifiers per hour. Divide 230 amplifiers by 10 amplifiers (which is how many you can make per hour) to get 23 hours [the answer].
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A car can travel 400 miles on a full tank of petrol. A more efficient car can travel 30% further. How many miles further can it
xxTIMURxx [149]

Answer:160 miles

Explanation:

You can work out this type of question by using the 'unitary' method, which means finding out how much for ONE.

If you set out the steps with short sentences it will be clearer.

On 15 gallons, a car can travel 400 miles÷15↓

On 1 gallon, a car can travel 400÷15=262

miles

Once you know the distance travelled on 1 gallon of fuel, you can work out the distance travelled for any number of gallons.

On 6 gallons the car can travel

6

×

26

2

3

miles.

(6 times further than on 1 gallon)

6

×

80

3

=

160

miles

4 0
3 years ago
Let AB // ED , AB = 10 units, AC = 12 units, and DE = 5 units. What is the length of AD?​
zheka24 [161]

Answer:

length of CD = 18 units.

Step-by-step explanation:

In ΔABC and ΔCED,

AB║DE and AD is a transversal line,

m∠ABC = m∠CED [Alternate interior angles]

m∠ACB = m∠DCE [Vertically opposite angles]

ΔABC ~ ΔCED [By AA property of similarity]

Therefore, by the property of similar triangles, corresponding sides will be proportional.

\frac{AB}{DE}= \frac{AC}{DC}

\frac{10}{5}=\frac{12}{CD}

CD = 6

Since, AD = AC + CD

AD = 12 + 6

     = 18 units

Therefore, length of CD = 18 units.

4 0
3 years ago
F(x) = 4r +3. Find f (5).<br> f(5) =
sammy [17]

Answer:

idk wii

Step-by-step explanation:

4 0
3 years ago
How do you simplify numbers with exponents
tensa zangetsu [6.8K]
You write it out then you’ll get the exponent
7 0
3 years ago
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
MAVERICK [17]

Answer:

The graph is symmetric about the x-axis only

Step-by-step explanation:

* Lets study the limacon curve

- Equations of the form:

# r = a + b sin θ

# r = a – b sin θ

# r = a + b cos θ

# r = a – b cos θ  

All will produce limacons.    

* Lets examine what happens for various values of a and b.  

- When the value of a is less than the value of b, the graph is  

 a limacon with and inner loop.

- When the value of a is greater than the value of b, the graph is

 a dimpled limacon.

- When the value of a is greater than or equal to the value of 2b,  

 the graph is a convex limacon.

- When the value of a equals the value of b, the graph is a special  

 case of the limacon.  It is called a cardioid.

* Notice that, in each of the graphs of the liamcons, changing

 from sine to cosine does not affect the shape of the graph just its  

 orientation.  

- Equations using sine will be symmetric to the vertical axis  

- Equations using cosine are symmetric to the horizontal axis.  

∵ r = -2 + 3 cos Ф

- from the notes up the equation of cosine is symmetric to

 the horizontal axis

∴ The graph is symmetric about the x-axis only

3 0
3 years ago
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