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tekilochka [14]

3 years ago

7

Marcos drove twice as far as Candice. Together, they drove 66 miles. Which equation can be used to find the number of miles Cand

ice drove?

1 answer:

galben [10]3 years ago

4 0

Candice drove 22 miles. 66 divided by 3 is 22. Which means Marcos drove 44 miles.

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There is 1000cm3 of aluminum available to cast a trophy that will be in the shape of a right square pyramid. Is this enough alum

stealth61 [152]

The 1000 cubic centimeters of aluminium is enough for aluminium a trophy that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

Step-by-step explanation:

The given is,

Volume of aluminium available is 1000 cubic centimeters

Shape of trophy is right square pyramid

Trophy has a base edge of 10 cm and slant height of 13 cm

Step:1

Formula for volume of right square pyramid,

$Volume, V = a^{2}\frac{h}{3}$ .....................................(1)

Where, a - Base edge value

h - Height of pyramid

From given,

a = 10 cm

h = 13 cm

Equation (1) becomes,

$= 10^{2}(\frac{13}{3} )$

$= (100)(4.333)$

$= 433.33 cm^{3}$

Volume of trophy = 433.33 cubic centimeters

Compare with the volume of available aluminium and volume of right square pyramid,

$Volume of available aluminium > Volume of right square pyramid$

$1000 cm^{3} > 433.33 cm^{3}$

So, the given volume of aluminium is enough to make right square pyramid shaped trophy.

Result:

The 1000 cubic centimeters of aluminium is enough for aluminium a trophy that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

6 0

3 years ago

Read 2 more answers

Step by step how to solve 4x+2=5(x+10)

Shalnov [3]

Answer:

x = -48

Step-by-step explanation:

4x + 2 = 5(x + 10)

expand the 5(x+10)

4x + 2 = 5x + 50

-2 both sides

4x + 2 - 2 = 5x + 50 - 2

simplify

4x = 5x + 48

-5x both sides

4x - 5x = 5x + 48 - 5x

simplify

-x = 48

÷ (-1) both sides

-x ÷ (-1) = 48 ÷ (-1)

simplify

x = -48

The answer is x = -48.

8 0

3 years ago

Using triangle A B C as the pre-image and the origin as the center of dilation, which coordinate point is not a coordinate of a

Ostrovityanka [42]

Answer:

The correct option is:

begin ordered pair 4 comma 12 end ordered pair i.e. (4,12).

Step-by-step explanation:

We are given the coordinates of the point A,B and C of the triangle ΔABC as:

A(-1,3) , B(2,1) and C(-2,-1).

Now it is given that there is dilation of this triangle about the origin with a scale factor of 4.

This means that the change in the coordinates after the transformation is given by the rule:

(x,y) → (4x,4y)

As A → A' , B → B' and C → C'

Hence the coordinates A',B' and C' are given by:

A' are (4×-1,4×3)=(-4,12)

B' are (4×2,4×1)=(8,4)

and C' are (4×-2,4×-1)=(-8,-4).

<em>Hence the coordinate point which is not a coordinate of dilation is:</em>

<em>begin ordered pair 4 comma 12 end ordered pair i.e. (4,12)</em>

3 0

3 years ago

Consider the quadratic equation below. 4x^2-5=3x+4 Determine the correct set-up for solving the equation using the quadratic for

lidiya [134]

$4x^2-5=3x+4$

$4x^2 - 3x - 5 - 4 = 0$

$4x^2 - 3x -9 = 0$

$x= \dfrac{3 \pm \sqrt{3^2 - 4(4)(-9)}}{2(4)}$

$x = \frac 1 8 (3 \pm \sqrt{9(1 + 16)})$

$x = \frac 1 8 (3 \pm 3\sqrt{17})$

7 0

3 years ago

Read 2 more answers

An airplane left Atlanta with 20 empty seats. If the airplane was 75% full, what was the total number of seats on the airplane?

Lana71 [14]

The answer is 80.
Because
80-75%=20

4 0

3 years ago

Read 2 more answers