Ask question

Ask question

All categories

3 years ago

14

On Wednesday a local hamburgers shop sold a combined total of 568 hamburgers and cheeseburgers. The number of cheeseburgers sold

was three times the number of hamburgers sold.How many hamburgers were sold on Wednesday

1 answer:

Sphinxa [80]3 years ago

5 0

Answer:

i think its 142

You might be interested in

Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified l

Sloan [31]

Answer:

The integral of the volume is:

$V = 32\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy$

The result is: $V = 78.97731$

Step-by-step explanation:

Given

Curve: $x^2 + 4y^2 = 4$

About line $x = 2$ --- Missing information

Required

Set up an integral for the volume

$x^2 + 4y^2 = 4$

Make x^2 the subject

$x^2 = 4 - 4y^2$

Square both sides

$x = \sqrt{(4 - 4y^2)$

Factor out 4

$x = \sqrt{4(1 - y^2)$

Split

$x = \sqrt{4} * \sqrt{(1 - y^2)$

$x = \±2 * \sqrt{(1 - y^2)$

$x = \±2 \sqrt{(1 - y^2)$

Split

$x_1 = -2 \sqrt{(1 - y^2)}\ and\ x_2 = 2 \sqrt{(1 - y^2)}$

Rotate about x = 2 implies that:

$r = 2 - x$

So:

$r_1 = 2 - (-2 \sqrt{(1 - y^2)})$

$r_1 = 2 +2 \sqrt{(1 - y^2)}$

$r_2 = 2 - 2 \sqrt{(1 - y^2)}$

Using washer method along the y-axis i.e. integral from 0 to 1.

We have:

$V = 2\pi\int\limits^1_0 {(r_1^2 - r_2^2)} \, dy$

Substitute values for r1 and r2

$V = 2\pi\int\limits^1_0 {(( 2 +2 \sqrt{(1 - y^2)})^2 - ( 2 -2 \sqrt{(1 - y^2)})^2)} \, dy$

Evaluate the squares

$V = 2\pi\int\limits^1_0 {(4 +8 \sqrt{(1 - y^2)} + 4(1 - y^2)) - (4 -8 \sqrt{(1 - y^2)} + 4(1 - y^2))} \, dy$

Remove brackets and collect like terms

$V = 2\pi\int\limits^1_0 {4 - 4 + 8\sqrt{(1 - y^2)} +8 \sqrt{(1 - y^2)}+ 4(1 - y^2) - 4(1 - y^2)} \, dy$

$V = 2\pi\int\limits^1_0 { 16\sqrt{(1 - y^2)} \, dy$

Rewrite as:

$V = 16* 2\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy$

$V = 32\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy$

Using the calculator:

$\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy = \frac{\pi}{4}$

So:

$V = 32\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy$

$V = 32\pi * \frac{\pi}{4}$

$V =\frac{32\pi^2}{4}$

$V =8\pi^2$

Take:

$\pi = 3.142$

$V = 8* 3.142^2$

$V = 78.97731$ --- approximated

3 0

3 years ago

HELP PLS TAP THE PICTURE<br> x 0,1,2,3<br> y 0.1,0.3,0.9,2.7

kakasveta [241]

Answer:

y=0.1(3)^x

Step-by-step explanation:

hope it helps you..

have a great day!!

6 0

3 years ago

Use the square root property of equality to solve

muminat

Answer:

3 +- 2i

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

, 8 technicians can test 560 samples in 36 hours. How long

Yakvenalex [24]

Answer:

0.75 days (im a bit unsure but i tried my best, hope this helps :) )

Step-by-step explanation:

If it takes 8 technicians 36 hours to test 560 samples, find how many technicians can test 525 samples.

8: 560

x: 525

x= 7.5 (which is considered 7)

Then, find how long it takes to sample 525 samples, when 560 are done in 36 hours;

560: 36

525: x

x= 33.75 (which is considered 34 hours)

The last step is to check how long 15 technicians take to sample 525 samples when 8 can do the same number in 34 hours. this is inverse proportion so dont forget to flip one numerator and denominator

8; 34

15; x

it will become

15:34

8: x

x= 18 hours

Divide by 24 for days hence 0.75 days

5 0

4 years ago

The perimeter of a triangle is 19 cm. If the lengh of the longest side is twice

aliya0001 [1]

If the perimeter of a triangle is 19 cm. The lengths of 3 sides is: a = 8, b = 7, c = 4.

<h3>Parimeter</h3>

Let a = longest

Let b= shortest

Let c= third side

a = 2c

a = (b+ c) - 3

a + 3 = b + c

Using three variables to solve the expression for perimeter

Perimeter= 19 cm

a+ b + c = 19

a + (a + 3) = 19

2a + 3 = 19

2a= 16

Divide both side by 2a

a=16/2

a = 8

a = 2c

8 = 2c

c=8/2

c = 4

a + b + c= 19

8 + b + 4 = 19

12 + b = 19

b=19-12

b = 7

Hence,

a = 8, b = 7, c = 4

Therefore If the perimeter of a triangle is 19 cm. The lengths of 3 sides is: a = 8, b = 7, c = 4.

The complete question is:

Perimeter of triangle is 19cm. If the length of the longest side is twice that of the shortest side and 3 less than the sum of the lengths of the 2 sides find lengths of 3 sides.

Learn more about perimeter here:brainly.com/question/19819849

#SPJ1

7 0

2 years ago