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2 years ago

Simplify 1/6(15a+20b)=

1 answer:

3 0

For clarity please enclose that "1/6" inside parentheses:

1/6(15a+20b) = (5/6)(3a + 4b) This is the simplest form.

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I WILL MARK BRAINEST!! number 6 please!! i really need help thank you!

zhenek [66]

Answer:

((8-2t)x3t)-(3-txt)

Step-by-step explanation:

srry just guessing

5 0

2 years ago

Instructions

PilotLPTM [1.2K]

I chose a box of cereal-------> rectangular prism
see the attached figure

Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Length: 20 cm
Width: 8 cm
Height: 32 cm

Part 2).
Describe the shape of the cross-section when the box is cut parallel to the base

the shape of the cross-section would be a rectangle of dimensions
20 cm x 8 cm

Part 3)
What is the surface area of the box?

surface area=2*area of the base+perimeter of the base*height

area of the base=20*8=160 cm²

perimeter of the base=2*[20+8]-----> 56 cm
height=32 cm

surface area=2*160+56*32------> 2,112 cm²

the answer part 3) is
2,112 cm²

Part 4)
What is the surface area of the box if it is scaled up by a factor of 10?

we know that
surface area of the larger box=[scale factor]²*surface area original box

scale factor=10
surface area original box=2,112 cm²
so
surface area of the larger box=10²*2,112-----> 211,200 cm²

the answer part 4) is
211,200 cm²

Part 5)
What is the volume of the box?

volume of the box=L*W*H-----> 20*8*32------> 5,120 cm³

the answer Part 5) is
5,120 cm³

Part 6)
What is the volume of the box if it is scaled down by a factor of 1/10

we know that
volume of the smaller box=[scale factor]³*volume original box
scale factor=1/10
volume original box=5,120 cm³
so
volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³

the answer part 6) is
5.12 cm³

6 0

2 years ago

The academic computing committee at a college is in the process of evaluating different computer systems. The committee consists

mr Goodwill [35]

There are 3,300 different ways to select the committee.

First, we need to determine the total number of ways the 6 members can be selected.

For the chair and vice chair, it would be 5 x 4 = 20, but then that has to be divided by 2. (Because the order doesn't matter)
20 / 2 = 10

For the rest, it would be 11 x 10 x 9 x 8 = 7920, but again divide it by 4! because the order doesn't matter.
7920 / 24 = 330

To find the total ways for both, multiply 10 by 330 to get 3300.

5 0

2 years ago

Which of the triangles below is not a right triangle?

Nataly [62]

Answer:

$B)\ 6ft,8ft,12ft$

Step-by-step explanation:

Pythagorean Theorem : In a right triangle, square of hypotenuse is equal to the sum of the squares of the other sides.

$(A)\ 3cm,4cm,5cm\\5^2=25\\3^2+4^2=9+16=25\\5^2=3^2+4^2$

Hence these sides represent a right triangle.

$(B)\6ft.8ft,12ft\\12^2=144\\6^2+8^2=36+64=100\\12^2\not=6^2+8^2$

Hence this does not represent a right triangle.

$(C)\27cm,36cm,45cm\\45^2=2025\\27^2+36^2=729+1296=2025\\45^2=27^2+36^2$

This represents a right triangle.

8 0

2 years ago

(Score for Question 4 of 6 points)

LuckyWell [14K]

Answer:

a) On Desmos.

b)The solution set {-2,-2}

Step-by-step explanation:

For drawing a line on graph we require minimum two points.

we have,

$y=2x+2$

Put x = 0,we get

y = 2

∴ Let A (0,2)

Similarly

Put y = 0 we get

x = -1

∴ Let B (-1,0)

Now Draw line AB

For y = -2

It is the line parallel to X axis where Y value is always -2

Now , by drawing these two lines we will get the intersecting point, and this intersecting point is the solution to the system. Let the point be C (-2,-2)

Here we substitute y= -2 in y = 2x + 2 we get

$-2 = 2x +2\\2x=-4\\x=-2\\\therefore (-2,-2)$

The solution is {-2,-2}

3 0

3 years ago