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<h3>
Answer: 54</h3>
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Explanation:
If we had a pit stop every 1 mile, then we would have 36 pit stops. Note how 36/1 = 36.
If we had a pit stop every 2 miles, then we would have 18 pit stops because 36/2 = 18
If we had a pit stop every 3 miles, then we would have 12 pit stops because 36/3 = 12
And so on.
As you can see, we divide the total length 36 over the number of miles between pit stops. This applies even to fractions as well
Divide 36 over 4/6 to get
![36 \div \frac{4}{6} = 36 \times \frac{6}{4} = 36 \times 1.5 = 54](https://tex.z-dn.net/?f=36%20%5Cdiv%20%5Cfrac%7B4%7D%7B6%7D%20%3D%2036%20%5Ctimes%20%5Cfrac%7B6%7D%7B4%7D%20%3D%2036%20%5Ctimes%201.5%20%3D%2054)
Recall that when you divide by a fraction, you flip the second fraction and multiply. The action of "flipping" is known as applying the reciprocal.
So this means there are 54 pit stops in total.
An alternative method to get the answer is to note that 4/6 = 0.66666667 approximately, and 36/0.66666667 = 53.99999973 which is very close to 54 that we got above. The reason why its not exactly 54 is because of rounding error. The more decimal digits you use, the more accurate the result will be.
Answer:
90 : 54 : 36
Step-by-step explanation:
Add the ratios: 5 + 3 + 2 = 10
Divide 180 kg by 10: 180 ÷ 10 = 18
Multiply each number of the ratio by 18:
5 × 18 : 3 × 18 : 2 × 18
⇒ 90 : 54 : 36
Answer:
The length of the actual bakery is 936 inches or 78 feet
Step-by-step explanation:
From the question we are told:
Janet measured a shopping center and made a scale drawing. The scale she used was 1 inch : 6 feet.
Let both the measurement of the shopping center and scale drawing be written in feet
1 foot = 12 inches
6 foot = x
Cross Multiply
x = 6 × 12 inches
x = 72 inches
Hence, the scale drawing =
Scale drawing : shopping center
1 inch = 72 inches
A bakery in the shopping center is 13 inches in the drawing. How long is the actual bakery?
This is calculated as:
1 inch = 72 inches
13 inches = x inches
Cross Multiply
x = 13 × 72 inches
x = 936 inches
The length of the shopping center = 936 inches
We convert back to feet
= 12 inches = 1foot
936 inches = x
Cross Multiply
12x = 936 × 1
x = 936/12
x = 78 feet
Therefore the length of the actual bakery is 936 inches or 78 feet
The equation of line perpendicular to given line is:
![y = \frac{2}{3}x-1](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx-1)
Step-by-step explanation:
Given equation is:
![3x+2y = -8](https://tex.z-dn.net/?f=3x%2B2y%20%3D%20-8)
First of all, we have to find the slope of the given line
So,
![3x+2y = -8\\2y = -3x-8\\](https://tex.z-dn.net/?f=3x%2B2y%20%3D%20-8%5C%5C2y%20%3D%20-3x-8%5C%5C)
Dividing both sides by 2
![\frac{2y}{2} = \frac{-3x-8}{2}\\y = \frac{-3x}{2} - \frac{8}{2}\\y =-\frac{3}{2}x-4](https://tex.z-dn.net/?f=%5Cfrac%7B2y%7D%7B2%7D%20%3D%20%5Cfrac%7B-3x-8%7D%7B2%7D%5C%5Cy%20%3D%20%5Cfrac%7B-3x%7D%7B2%7D%20-%20%5Cfrac%7B8%7D%7B2%7D%5C%5Cy%20%20%3D-%5Cfrac%7B3%7D%7B2%7Dx-4)
As the equation is in slope-intercept form, the co-efficient of x will be the slope of the line
![m_1 = -\frac{3}{2}](https://tex.z-dn.net/?f=m_1%20%3D%20-%5Cfrac%7B3%7D%7B2%7D)
As we know that product of slopes of two perpendicular lines is -1
Let m-2 be the slope of line perpendicular to given line
![m_1.m_2 = -1\\-\frac{3}{2} . m_2 = -1\\m_2 = -1 * -\frac{2}{3}\\m_2 = \frac{2}{3}](https://tex.z-dn.net/?f=m_1.m_2%20%3D%20-1%5C%5C-%5Cfrac%7B3%7D%7B2%7D%20.%20m_2%20%3D%20-1%5C%5Cm_2%20%3D%20-1%20%2A%20-%5Cfrac%7B2%7D%7B3%7D%5C%5Cm_2%20%3D%20%5Cfrac%7B2%7D%7B3%7D)
Slope-intercept form is:
![y = m_2x+b](https://tex.z-dn.net/?f=y%20%3D%20m_2x%2Bb)
putting the value of the slope
![y = \frac{2}{3}x+b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx%2Bb)
Putting the point (3,1) in the equation
![1 = \frac{2}{3}(3) +b\\1 = 2 + b\\b = 1-2\\b = -1](https://tex.z-dn.net/?f=1%20%3D%20%5Cfrac%7B2%7D%7B3%7D%283%29%20%2Bb%5C%5C1%20%3D%202%20%2B%20b%5C%5Cb%20%3D%201-2%5C%5Cb%20%3D%20-1)
Putting the value of b
![y = \frac{2}{3}x-1](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx-1)
Hence,
The equation of line perpendicular to given line is:
![y = \frac{2}{3}x-1](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx-1)
Keywords: Slope-intercept form, slope
Learn more about equation of line at:
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