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3 years ago

Martha Lou needs 1 3/4

Mathematics

1 answer:

Anastasy [175]3 years ago

8 0

Answer:

7 small pillows.

Step-by-step explanation:

1. Let's get rid of the whole parts of fractions -> 1 3/4=7/4, 12 1/4=49/4

2. To find how many pillows she can make divide the available fabric by the amount needed -> (49/4)/(7/4)=49/7=7.

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Ten years ago the age of the father was four times of his son. Ten years hence the age of the father will be twice that of his s

Zinaida [17]

I hope this helps you

3 0

4 years ago

A region is bounded by y=e−3x, the x-axis, the y-axis and the line x = 3. If the region is the base of a solid such that each cr

grigory [225]

Answer:

0.333 $\pi$ units³

Step-by-step explanation:

Think process:

The equation is given as y = $e^{-3x}$

Let, y = f (x)

Therefore, $f (x) = e^{-3x}$

We know that the limits are y-axis and x= 3

Y-axis: x= 0

then limits are given as x= 0 and x = 3

Integrating gives:

$\int\limits^3_0 {e^{-3x} } \, dx$ = $\frac{-1}{3}e^{-3x}$ + C

calculating from x= 0 to x = 3, we know volume is given by $\pi \int\limits^a_b {f(x)} \, dx$

= $\pi$ [ $\frac{-1}{3} e^{-9} - (\frac{-1}{3} e^{0})$ ]

= $\pi$ [0.000041136 + 1/3]

= 0.333 $\pi$ units³

8 0

3 years ago

Please help 21 points!!!!!

harina [27]

Step-by-step explanation:

The measure of angle y is 62°.

I solve this by

We know: Measures of interior angles in a triangle add up to 180°.

Therefore we have the equation:

60° + 58° + y = 180°

118° + y = 180° subtract 118° from both sides

118° - 118° + y = 180° - 118°

y = 62°

The measure of angle x is 122°.

I solve this by

Angles 58° and x are supplementary angles.

Supplementary angles add up to 180°.

Therefore we have the equation:

x + 58° = 180° subtract 58° from both sides

x + 58° - 58° = 180° - 58°

x = 122°

8 0

3 years ago

Which rational numbers fall between 2.7 and 2.8 on a number line

Slav-nsk [51]

Some rational numbers are
2.71, 2.72, 2.73, 2.74, 2.75, 2.76, 2.77, 2.78, 2.79
2.711, 2.712 2.713....
2.721, 2.722, 2.723....
2.731....
I think you get the point! Hope this helped!

7 0

3 years ago

Nola was selling tickets at the high school dance. At the end of the evening she picked up the cash box and noticed a dollar lyi

Blizzard [7]

Answer:

The $1 belongs to the cash box

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine if the $1 belongs to the cash box or not

Represent singles with s and couples with c.

From the attachment, we have:

$s + c = 47$ --- total attendance

$5s + 4c =200$ --- ticket sold

Solve for s and c.

Make s the subject in (1)

$s = 47-c$

Substitute 47 - c for s in (2)

$5(47 - c) + 4c = 200$

Open bracket

$235 - 5c + 4c = 200$

$235 - c = 200$

$c = 235 - 200$

$c = 35$

This means that the total individual which makes up the couples are 35. This is not possible because couples are in 2's and the total should be an even number.

So, we can conclude that the $1 belongs to the cash box

4 0

3 years ago