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Doss [256]
3 years ago
15

In a survey, children were asked what flavor of ice cream they favored. 600 children, or 60% of the respondents, said chocolate

was their favorite. How many children responded in the survey?
Mathematics
1 answer:
Ray Of Light [21]3 years ago
5 0

Answer:

1,000

Step-by-step explanation:

60% of 1,000 is equal to 600

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The length of the rectangle is 3 times its width.
Blizzard [7]

Answer:

Since length is three times, hence it is 6 inches.

let the width be x.

then, length= 3x

perimeter= 16 inches.

perimeter of a rectangle = 2( L+B)

2(3x+x)=16.

3x+x= 16÷2

4x= 8

x= 2

since length=3x

hence, 3×2= 6 inches

4 0
3 years ago
Simplify (x − 4)(3x2 − 6x + 2).
Helen [10]

Answer:

3x^3-18x^2+26x-8

Step-by-step explanation:

combine terms :)

7 0
3 years ago
A sailboat leaves port and sails 12 kilometers west and then 9 kilometers north. The sailboat is now kilometers from port
Luden [163]

Answer:  The sailboat is at a distance of 15 km from the port.

Step-by-step explanation:  Given that a sail boat leaves port and sails 12 kilometers west and then 9 kilometers north.

We are to find the distance between the sailboat from the port in kilometers.

Since the directions west and north are at right-angles, we can visualize the movement of the sailboat in the form of a right-angled triangle as shown in the attached figure.

The sailboat moves leaves the port at P and reach O after sailing 12 km west. From point O, again it moves towards north 9 km and reach the point S.

PS = ?

Using the Pythagoras theorem, we have from right-angled triangle SOP,

PS^2=OS^2+OP^2=9^2+12^2=81+144=225\\\\\Rightarrow PS=15~\textup{km}.

Thus, the sailboat is at a distance of 15 km from the port.

5 0
4 years ago
Please factor the following cubic polynomial using the grouping technique. Show all work necessary. <img src="https://tex.z-dn.n
Dmitriy789 [7]

\text{Hello! :)}

\large\boxed{(x - 8)(x^{2}  + 7)}

x^{3}  - 8x^{2} + 7x - 56\\ \\\text{Factor by grouping:}\\\\\text{Take "x" out of the first and third, and -8 from the second and last terms}\\\\x(x^{2} +7) -8(x^{2} + 7)\\\\\text{Rewrite:}\\\\(x - 8)(x^{2}  + 7)

4 0
3 years ago
Read 2 more answers
What is the inverse of f(x) = 8x - 7
nignag [31]
Y=(x+7)/8

Work:
Y=8x-7 —> x=8y-7
Solve for y
x+7=8y
y=(x+7)/8

3 0
3 years ago
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