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3 years ago

Which expression represents the product of 6 and y? 6y 6 y 6 − y 6 over y

Mathematics

2 answers:

prohojiy [21]3 years ago

5 0

Just a 6y would do. :)))

prisoha [69]3 years ago

5 0

Answer:

Its 6y

Step-by-step explanation:

I took the test and got a 100%

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A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox

jeka57 [31]

Answer:

(D)80 ft³

Step-by-step explanation:

The volume volume of the sandbox is = L × W × H

Where L = Length, W= width, H= Height.

A sandbox has the same shape as a cuboid.

A cuboid is a solid shape with rectangular base and sides. It has six rectangular faces if all sides are closed.

From the question,

LWH = 10ft³ ........................ (1).

If a similar sandbox twice as long, twice as wide and twice as high.

∴ L₍n₎= 2L, W₍n) =2W, H₍n₎ = 2H

Where L₍n₎, W₍n), H₍n₎ is the new Length, new Width and new Height of the similar sandbox.

∴L₍n₎ ×W₍n)× H₍n₎ = 2L × 2W × 2H

and Volume of the new sandbox = L₍n₎ ×W₍n)× H₍n₎

⇒Volume of the new sandbox = 2 × 2 ×2 ×L×W×H

Volume of the new sandbox = 8 × LWH....................(2)

In equation(1) LWH = 10ft³.

Substituting the value in equation(2)

∴Volume of the new(similar) sandbox= 8 × 10

=80ft³.

Therefore the capacity of the second sandbox in cubic feet is 80.

The answer is option (D).

7 0

3 years ago

URGENT PLS HELP

Dahasolnce [82]

Align the horizontal edge of the protractor with the base of the triangle. Place the center point of the protractor on the vertex of the angle. Follow the side of the triangle until it reaches the angle measurement mark. Note the measurement.

7 0

3 years ago

Vicky reads at a constant rate. She can read 5 pages in 9 minutes. Write an equation to represent her constant rate

REY [17]

Answer:

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6 0

3 years ago

The rodriguez family dined at a restaurant. Their bill came up to $119, but they also have to pay a 9% tax and they plan to leav

ladessa [460]

Answer:

The amount is $155.89

Step-by-step explanation:

To find the cost of the meal, find the tax and tip. You can find each by multiplying the amount of the meal by the percentages.

$119 * 9% = 10.71

$119 * 22% = 26.18

Now we can add all three together.

119 + 10.71 + 26.18 = 155.89

6 0

3 years ago

Read 2 more answers

The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by: P(x)=-12x^2 +12

Minchanka [31]

Given:

The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by:

$P(x)=-12x^2+120x$

To find:

The current that will produce the maximum power.

Solution:

We have,

$P(x)=-12x^2+120x$

Here, leading coefficient is negative. So, it is a downward parabola.

Vertex of a downward parabola is the point of maxima.

If a parabola is $f(x)=ax^2+bx+c$ , then

$Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)$

In the given function, a=-12 and b=120. So,

$-\dfrac{b}{2a}=-\dfrac{120}{2(-12)}$

$-\dfrac{b}{2a}=-\dfrac{120}{-24}$

$-\dfrac{b}{2a}=5$

Putting x=5 in the given function, we get

$P(5)=-12(5)^2+120(5)$

$P(5)=-12(25)+600$

$P(5)=-300+600$

$P(5)=300$

Therefore, 5 watt current will produce the maximum power of 300 amperes.

6 0

3 years ago