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DerKrebs [107]
1 year ago
12

Frank can mow lawns at a constant rate of 6/5 lawns per hour. what is the ratio of lawns to hours?

Mathematics
1 answer:
Igoryamba1 year ago
6 0

Answer:

6 : 5

Step-by-step explanation:

Rate = \frac{6}{5}

But Rate is also equal to number of lawns mowed in a certain amount of time.

Since ratio should always be in terms of simple whole numbers.

If 6/5 lawns are mowed in 1 hour, then,

6 lawns will be mowed in:

=\frac{6 \times 1}{\frac{6}{5} }

= 5 hours.

therefore, 6 laws will be mowed in 5 hours.

Ratio of lawns to hours in 6:5

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What’s the angle it’s looking for ?
Law Incorporation [45]

Given:

m(ar KN) = 2x + 151

m(ar LN) = 61°

m∠NMK = 2x + 45

To find:

m∠NMK

Solution:

By property of circle:

<em>If a tangent and a secant intersect outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>

$\Rightarrow m\angle NMK=\frac{1}{2} (m \ ar(KN) - m\ arLN))

$\Rightarrow 2x+45=\frac{1}{2} (2x + 151-61)

$\Rightarrow 2x+45=\frac{1}{2} (2x + 90)

Multiply by 2 on both sides, we get

$\Rightarrow 2\times (2x+45)=2\times \frac{1}{2} (2x + 90)

$\Rightarrow 4x+90=2x + 90

Subtract 90 from both sides.

$\Rightarrow 4x+90-90=2x + 90-90

$\Rightarrow 4x=2x

Subtract 2x from both sides.

$\Rightarrow 4x-2x=2x-2x

$\Rightarrow 2x=0

$\Rightarrow x=0

Substitute x= 0 in m∠NMK.

m∠NMK = 2x + 45

              = 2(0) + 45

              = 45

Therefore m∠NMK = 45.

8 0
1 year ago
Robert climbed 775775775 steps in 12\dfrac1212 2 1 ​ 12, start fraction, 1, divided by, 2, end fraction minutes. How many steps
Pepsi [2]

Answer:

Since the question requires you to give the answer in terms of steps/minute, the first step would be to convert hours to minutes:

12.5 hours = 750 minutes

Next, if he took 775 steps in 750 minutes, how many would he take in 1 minute?

This requires you to set up the question as a proportion:  

(775 steps/ 750 minutes) = (x steps/1 minute)

(1 * 775)/750 = 31/30 = 1.033

he took ~1 step per minute

7 0
1 year ago
Read 2 more answers
Javier is making a cake for a party. The recipe calls for 2 3 4 234 cups of flour, but he wants to triple the recipe. He guessed
GalinKa [24]
The correct question is
<span>Javier is making a cake for a party. The recipe calls for 2 3/4 cups of flour, but he wants to triple the recipe. He guessed and put in 7 cups of flour. How many more cups of flour should he have used?

we know that
2 3/4 cups of flour------> (2*4+3)/4----> 11/4 cups
if he </span>wants to triple the recipe------> 3*(11/4)----> 33/4 ----> 8 1/4 cups required

8 1/4-7=1 1/4 cups

the answer is
1 1/4 cups
5 0
1 year ago
Jade has $451.89 in her checking account. After 3 checks, each for the same amount, are deducted from her account, she has $358.
steposvetlana [31]

Answer:

3rd, 4th, and 5th options.

Step-by-step explanation:

The way this was formatted was a little weird, but the 3rd, 4th, and 5th options are correct I think.

If there was 358.92 left, it has to be divided 3 ways (after subtracting 451.89 - 358.92). So that means that 3c or c+c+c could be correct, as well as using dis. property to switch around the last one I guess.

if this helped, brainliest is appreciated.

4 0
2 years ago
Read 2 more answers
A group of astronomers observed light coming from a star located a distance of 331,000,000,000,000,000,000,000,000 light-years f
Anika [276]
3.31 times 10 to the 26th power
5 0
1 year ago
Read 2 more answers
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