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3 years ago

Compare 7/12 and 1/2

Mathematics

2 answers:

Klio2033 [76]3 years ago

3 0

7/12 and 1/2
Get the common denominator
Multiply 1/2 by 6
7/12 and 6/12

Vaselesa [24]3 years ago

3 0

Find the common denominator 2x6=12 7/12 and 6/12

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Melissa owns a catering company . For lunch and dinner parties , she serves appetizers before each meal. The number of appetizer

german

Answer:

Step-by-step explanation:

Lunch = 3 appetizers per guest

If there are 22 guests: 22 × 3 = 66 appetizers served

Dinner = 5 appetizers per guest

If there are 22 guests: 22 × 5 = 110 appetizers served

Difference = total dinner appetizers - total lunch appetizers

= 110 - 66

= 44

7 0

2 years ago

Consider the line y = 7x-9.

KatRina [158]

$y = \frac{-1}{7}x -\frac{8}{7}$ is the equation of the line that is perpendicular to this line and passes through the point (6, -2)

y = 7x - 44 equation of the line that is parallel to this line and passes through the point (6, -2)

Solution:

Given that line is:

y = 7x - 9

The equation of line in slope intercept form is given as:

y = mx + b ------ eqn 1

Where, "m" is the slope of line and "b" is the y intercept

On comparing eqn 1 with y = 7x - 9 we get,

m = 7

<h3>Find the equation of the line that is perpendicular to this line and passes through the point (6, -2)</h3>

We know that,

Product of slope of a line and slope of line perpendicular to given is always -1

Therefore,

$7 \times \text{ slope of line perpendicular to it } = -1\\\\\text{ slope of line perpendicular to it } = \frac{-1}{7}$

Now find the equation of line:

$\text{ Substitute } m = \frac{-1}{7} \text{ and } (x, y) = (6, -2) \text{ in eqn 1}$

$-2 = \frac{-1}{7} \times 6 + b\\\\-2 = \frac{-6}{7} + b\\\\b = -2+\frac{6}{7}\\\\b = \frac{-14+6}{7}\\\\b = \frac{-8}{7}$

$\text{Substitute } m = \frac{-1}{7} \text{ and } b = \frac{-8}{7} \text{ in eqn 1}\\\\y = \frac{-1}{7}x -\frac{8}{7}$

Thus the equation of line perpendicular to given line is found

<h3>Find the equation of the line that is parallel to this line and passes through the point (6, -2)</h3>

Slopes of parallel lines are equal

Therefore, m = 7

Substitute m = 7 and (x, y) = (6, -2) in eqn 1

-2 = 7(6) + b

-2 = 42 + b

b = -44

Substitute m = 7 and b = -44 in eqn 1

y = 7x - 44

Thus equation of line parallel to given line is found

8 0

3 years ago

A 3-dimensional figure has a square base and 4 lateral faces that meet at a point. Explain the difference between the cross sect

dybincka [34]

The figure is a square pyramid. A slice made perpendicular to the base and through the vertex creates a cross section with the shape of a triangle. A slice made perpendicular to the base and not through the vertex is a trapezoid.

5 0

3 years ago

Read 2 more answers

A family drove 180 miles to disneyland. If they left at 10:30

luda_lava [24]

Average speed = Distance/ time

Distance = 180 mi

Time = time(final) - time(initial)

To find time will be easier if we translate am and pm into 24 h scale.

am will stay the same, so 10:30 am is 10:30. (initial)

pm will be turned (am time + 12), 3: 00 pm = 3:00 +12 =15:00 (final)

Time = time(final) - time(initial)= 15:00 - 10:30 = 14:60 - 10:30 =4h 30 min

4h + 30 min = 4h + 1/2 h= 4.5 h (time)

Average speed = Distance/ time = 180 mi / 4.5 h = 40 mi/h

Answer is 40 mi/h.

3 0

3 years ago

Find the mean, median, mode, and range of the following values: 5, 8, 16, 14, 2, 18, 8.

eduard

Mode is the most.
What number appears the most? 8. 8 appears twice.

Mean is the average.
Add up all the numbers. 5+8+16+14+2+18+8=71
Then divide by how many numbers there are. 71/7=10.1

Median is alway in-between.
If you set up a number line in order of least to greatest, what number is in the middle?
2,5,8,8,14,16,18
we can erase the numbers on each end to find the middle.
2,5,8,8,14,16,18
5,8,8,14,16
8,8,14,16
8,14
Uh oh! There are two numbers in the middle. In this case you find the average of these two numbers.
8+14= 22
22/2=11

The range is the highest number in your set of data minus the lowest number in your set of data.
So, 18-2=16

In conclusion...
Mode:8
Mean:10.1
Median:11
Range:16

3 0

3 years ago

Read 2 more answers