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3 years ago

In 8 years, Sophia's age will be 21 years old. Let x represent Sophia's current

Mathematics

2 answers:

fiasKO [112]3 years ago

5 0

Answer:

She is 13 years old

Step-by-step explanation:

x + 8 = 21

x = 13

Aloiza [94]3 years ago

3 0

Answer:

a. x+8=21

b. x = 13

Step-by-step explanation:

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If you buy 6 boxes of cereal for $10, how much will 9 boxes of cereal cost?

Andrew [12]

$\bf \begin{array}{ccllll}
amount&\$\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
6&10\\
9&x
\end{array}\implies \cfrac{6}{9}=\cfrac{10}{x}$

solve for "x"

3 0

3 years ago

Can someone help me on number 8. I tried to do it, but I can’t seem to find the right answer.

qaws [65]

Check the picture below.

4 0

3 years ago

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = $xyz$

with subject to $x+2y+3z=9$

So, let $z=\dfrac{9-x-2y}{3}$

So, Volume becomes,

$V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}$

Partially derivative wrt x and y we get that

$9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9$

By solving these two equations, we get that

$x=3,y=\dfrac{3}{2}$

So, $z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1$

So, Volume of largest rectangular box would be

$xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5$

Hence, the volume of largest rectangular box is 4.5 units.

4 0

3 years ago

Ratio of blue to green sweets is 2:7 Ration of green to red sweets is 3:1 There are less than 140 sweets in the bag Greatest amo

UNO [17]

Answer:

35 sweets

Step-by-step explanation:

Ratio of blue to green sweets is 2:7 Ration of green to red sweets is 3:1 There are less than 140 sweets in the bag Greatest amount of red sweets

Ration of green to red sweets is 3:1

Total Proportion = 3 + 1 = 4

Total number of sweet = > 140 sweets

The greatest amount of red sweets =

1/4 × 140 = 35 sweets

8 0

2 years ago

Is (x-1) a factor of 2x3 - 15x2 + 22x + 15

Advocard [28]

Answer:

Step-by-step explanation:

If x - 1 is a factor of the cubic, then 1 should result in 0 when you put it in the cubic for x. Does it?

f(1) = 2(1)^3 - 15(1)^2 + 22(1) + 15

f(1) = 2 - 15 + 22 + 15

f(1)= 24.

No the result is not zero. So x - 1 is not a factor.

However there must be something that makes this cubic go to zero. The easiest way to find it is to graph it.

The numbers that do make this zero are -0.5, 3, 5

Which mean that the factors are (2x+1)(x-3)(x - 5)

6 0

3 years ago