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3 years ago

17. Simplify (3 × 22) ÷ 6 + [28 – (4)2] = ?

Mathematics

1 answer:

Effectus [21]3 years ago

7 0

Answer:

Step-by-step explanation:

(3*22=66) / 6 + [28n - (4)2=20]

66 /6 = 11+ [20]

11+20= 31

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The amount of gasoline at a gas station changes from 58,432.4 gallons to 56,475.2 gallons from 2 PM to 4 PM what rational number

gogolik [260]

Answer:

978.6

Step-by-step explanation:

change in gallons is 1957.2 over a period of 2 hours

change in gallons is 978.6 over a period of 1 hour

8 0

3 years ago

A scoop of ice cream has 1.5 inch radius. How talk should the cream cone of the same radius be in order to contain all of the ic

MAVERICK [17]

Answer:

The cream cone should be 6 inches.

Step-by-step explanation:

Given:

A scoop of ice cream has 1.5 inch radius.

Now, to find the height of the cream cone.

So, we need to get the volume of scoop by putting formula:

Radius (r) = 1.5 inch.

Using the value π = 3.14.

$Volume=\frac{4}{3} \pi r^3$

$Volume=\frac{4}{3}\times 3.14\times 1.5^3\\\\Volume=\frac{4}{3}\times 3.14\times 3.375\\\\Volume=14.13\ inches^3.$

Thus, the volume of the ice cream scoop is 14.13 cubic inches.

So, to put all of the ice cream inside the cone.

We take the cream cone volume as the scoop volume.

Let the height of cone be $h.$

As, given radius is same.

Now, to get the height of the cream cone we put formula of volume:

$Volume=\pi r^2\frac{h}{3}$

$14.13=3.14 \times (1.5)^2\times \frac{h}{3}\\\\14.13=3.14\times 2.25\times \frac{h}{3}$

Multiplying both sides by 3 we get:

$42.39=3.14\times 2.25\times h\\\\42.39=7.065\times h$

Dividing both sides by 7.065 we get:

$6=h$

$h=6\ inches.$

Hence, the height of the cone = 6 inches.

Therefore, the cream cone should be 6 inches.

7 0

3 years ago

Which of the following graphs best represents the solution to the pair of equations below? y = −x + 6 y = 2x − 3 A coordinate pl

spayn [35]

Answer:

The lines are

i) y=-x+6

ii) y=2x-3

The solution of the system of equations is found by equalizing the 2 equations:

-x+6=2x-3

-2x-x=-6-3

-3x=-9

x=-9/(-3)=3

substitute x=3 in either i) or ii):

i) y=-3+6=3

ii) y=2(3)-3=6-3=3

(the result is the same, so checking one is enough)

This means that the point (3, 3) is a point which is in both lines, so a solution to the system.

In graphs, this means that the lines intersect at (3, 3) ONLY

Answer: The graph where the lines intersect at (3, 3)

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3 years ago

The solution of an equation with two variables x and y, is

katen-ka-za [31]

Answer:

Thats not a question

Step-by-step explanation:

4 0

3 years ago

Line segment WX is the radius of circle X, and line segment ZY is the radius of circle Y. Points W, X, C, Y, and Z are all on li

Andrews [41]

Point D is the midpoint of the outer circle that we aim to find the area of

The circle has a diameter of WZ and radii of WC and CZ

We know that YZ=YD=10 cm

Let DC be $x$ and CY be $10-x$

The radius of the outer circle can be written as $8+8+x$ or $10+10-x$ which we can equate to find the value of $x$

$8+8+x=10+10-x$
$16+x=20-x$
$2x=4$
$x=2$

Therefore, the radius of the circle is $8+8+2=18$

And hence the area of the circle is $\pi (18^{2})$ =324 $\pi$

4 0

4 years ago

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