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kakasveta [241]

3 years ago

7

There are 128 flavors at an ice cream shop. If a company orders 75 scoops of each flavor, how many scoops of ice cream would the

company get?

1 answer:

Y_Kistochka [10]3 years ago

5 0

Hope this answer helps you! :)

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Joe is trying to soup up his dragster. He knows that the time needed for the car to go from 0 to 100 miles per hour varies inver

inysia [295]

8 seconds

The hardest part of this is setting up the equation -- the calculations are pretty easy.

You're told that the time (needed to go from 0 to 100 MPH) is inversely proportional to the horsepower: what this means is that as horsepower gets larger, time gets smaller. This makes sense since the more horsepower you have, the less time it will take you to get to 100 MPH

You can think of this as:

200 HP = 10 seconds
250 HP = x seconds

You set the equation up as:

250 HP / 200 HP = 10 sec / x sec

Now, just cross multiply and solve:

250 / 200 = 10 / x
250x = (200 x 10)
250x = 2000
x = 2000 / 250
x = 8

So, as you increase the horsepower from 200 to 250, the time decreases from 10 seconds to 8 seconds.

Hope this helps!

Good luck.

3 0

3 years ago

The triangular pyramid shown is made up of four congruent triangles. The length of the base is 8 inches, and the height of the b

Aneli [31]

Answer:

(B) Talia is correct. The lateral area can be found by approximating one large triangle, which can be found using the expression 4 (one-half (8) (6.9))

Step-by-step explanation:

Base of the Pyramid = 8 Inches

Height of the Triangular Face = 6.9 Inches

In any solid shape, the Lateral surface area is the sum of all sides except its top and bottom bases.

Since the four triangles are congruent:

Lateral Surface Area = 4 X Area of One Triangle

Area of a Triangle = $\frac{1}{2}$ X Base X Height$

Area of one Triangular Face $= \dfrac{1}{2}(8)(6.9)$

Therefore:

Lateral Surface Area $= 4\left(\dfrac{1}{2}(8)(6.9)\right)$

Therefore, Talia is correct.

8 0

3 years ago

Please help meee! :< An author receives $0.60 for each hardcover book or paperback book that is sold. There were x hardcover

rusak2 [61]

D) 47,000

0.60 (<em>x</em>+38,000)= 51,000
(0.60<em>x</em>)+22,800= 51,000
51,000-22,800= 28,200
28,200÷0.60= 47,000
0.06 (47,000+38,000)= 51,000
28,200+22,800= 51,000

5 0

3 years ago

Don’t need help with the scatter plot really I just need help finding the Correlation coefficient

aleksandr82 [10.1K]

난 아직 모르는 척 하지만 새로운 걸 할 수 있어

5 0

3 years ago

Find the following integral

ololo11 [35]

There's nothing preventing us from computing one integral at a time:

$\displaystyle \int_0^{2-x} xyz \,\mathrm dz = \frac12xyz^2\bigg|_{z=0}^{z=2-x} \\\\ = \frac12xy(2-x)^2$

$\displaystyle \int_0^{1-x}\int_0^{2-x}xyz\,\mathrm dz\,\mathrm dy = \frac12\int_0^{1-x}xy(2-x)^2\,\mathrm dy \\\\ = \frac14xy^2(2-x)^2\bigg|_{y=0}^{y=1-x} \\\\= \frac14x(1-x)^2(2-x)^2$

$\displaystyle\int_0^1\int_0^{1-x}\int_0^{2-x}xyz\,\mathrm dz\,\mathrm dy\,\mathrm dx = \frac14\int_0^1x(1-x)^2(2-x)^2\,\mathrm dx$

Expand the integrand completely:

$x(1-x)^2(2-x)^2 = x^5-6x^4+13x^3-12x^2+4x$

Then

$\displaystyle\frac14\int_0^1x(1-x)^2(2-x)^2\,\mathrm dx = \left(\frac16x^6-\frac65x^5+\frac{13}4x^4-4x^3+2x^2\right)\bigg|_{x=0}^{x=1} \\\\ = \boxed{\frac{13}{240}}$

4 0

3 years ago