Deb had a board that measures 5 feet in length. How many 1/4-foot long pieces can deb cut from the board?

Answers

Answer 1

Answer: To do this, divide 5 by 1/4

You can also divide 5 by 0.25

And you get 20

Therefore, Deb can cut 20 pieces!

Hope this helped!

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What is the greatest common factor of 36 and 90

Answers

18.

18x2= 36
18x5= 90

Hope this helped

The greatest common factor of 36 and 90 is 18

Please help!Which point is collinear with points B and C?

A.
(0, 0)

B.
(1, 1)

C.
(1, –5)

D.
(6, –8)

Answers

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Coordinates of B = (4,-3)

Coordinates of C = (-4,3)

We need to find the collinear point with B and C.

There is one method to find the collinear point i.e. Slope method.

Slope of BX = Slope of CX = $(y_2-y_1)/(x_2-x_1)$

Let Coordinates of X = (0,0)

So, Slope of BX is given by

$(0+3)/(0-4)=(3)/(-4)$

Slope of CX is given by

$(0-3)/(0+4)=(-3)/(4)$

So, Slope of BX = Slope of CX = $(-3)/(4)$

And we can see from the graph (0,0) is the collinear point with B and C too.

Hence, Option 'A' is correct.

Points are collinear if they lie on the same line.

First find the equation of the line that passes through the points B and C.
$B(4, -3) \nx_1=4 \n y_1=-3 \n \nC(-4,3) \nx_2=-4 \n y_2=3 \n \nm=(y_2-y_1)/(x_2-x_1)=(3-(-3))/(-4-4)=(3+3)/(-8)=(6)/(-8)=-(3)/(4) \n \ny=-(3)/(4)x+b \n(-4,3) \n3=-(3)/(4) * (-4)+b \n3=3+b \nb=0 \n \ny=-(3)/(4)x$

The points lie on the line y=(-3/4)x.
Now plug the coordinates of the given points into the equation and check if they satisfy the equation.

$(0,0) \nx=0 \n y=0 \n \Downarrow \n0 \stackrel{?}{=} -(3)/(4) * 0 \n0 \stackrel{?}{=} 0 \n0=0 \n\hbox{the point lies on the line} \n \n(1,1) \nx=1 \n y=1 \n \Downarrow \n1 \stackrel{?}{=} -(3)/(4) * 1 \n1 \stackrel{?}{=} -(3)/(4) \n1 \not= -(3)/(4) \n\hbox{the point doesn't lie on the line}$

$(1,-5) \nx=1 \n y=-5 \n \Downarrow \n -5 \stackrel{?}{=} -(3)/(4) * 1 \n-5 \stackrel{?}{=} -(3)/(4) \n-5 \not= -(3)/(4) \n\hbox{the point doesn't lie on the line} \n \n(6,-8) \nx=6 \n y=-8 \n \Downarrow \n-8 \stackrel{?}{=} -(3)/(4) * 6 \n-8 \stackrel{?}{=} -(9)/(2) \n-8 \not= -(9)/(2) \n\hbox{the point doesn't lie on the line}$

The answer is A.

How many sandwiches can I make if I have 4 pounds of cheese and I use ⅛ of a pound for each one?

Answers

You can make 32 sandwiches because 4x1/8=32.

Help PleAsE??What is the point-slope form of the equation of a line that passes through the point (6, −8) and has a slope of −2?
A.y+8=2(x-6)

B.y+8=-2(x-6)

C.y-6=-2(x-8)

D.y-8=-2(x+6)

Answers

y - y1 = m(x - x1)

Where 'y1' is the y-value of the point, 'x1' is the x-value of the point, and 'm' is the slope.

So in this case:

y1 = -8
x1 = 6
m = -2

Plug them in:

y - (-8) = -2(x - 6)

or

y + 8 = -2(x - 6)

Point slope form is:
$\sf {y - y_1 = m(x - x_1)}$

Where $\sf{(x_1,y_1)}$ is the point and $\sf{m}$ is the slope.

So from your question:

$\sf{ x_1 = 6}$
$\sf{y_1 = -8}$
$\sf{m = -2}$

Plug them into the equation for point slope form:

$\sf {y - y_1 = m(x - x_1)}$

Becomes when you plug it in:

$\sf{y-(-8) = -2(x - 6)}$

And when you subtract a negative that becomes addition so:

$\sf{y+ 8 = -2(x - 6)}$

And that would correlate to answer choice $\sf{\boxed{B}}$

A ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln. If there are p pots in a batch, which expression represents the time it takes to shape and fire one batch of pots? How long will it take the potter to form and fire a batch of 10 pots?The expression is 3p. It takes 30 minutes to shape and fire 10 pots.

The expression is 3p − 10. It takes 20 minutes to shape and fire 10 pots.

The expression is 3(p + 10). It takes 60 minutes to shape and fire 10 pots.

The expression is 3p + 10. It takes 40 minutes to shape and fire 10 pots.

Answers

3p + 10 (40 minutes)

3p+10. 3 minutes per pot to shape it. Time taken to shape all p pots is 3p. Then it takes 10 minutes to fire the batch.

Toby is installing a new storage building in the back of his yard. The building measures 10 ft. x 12 ft. He’ll need a 10 foot long, 12 foot wide, and 4 inch deep slab for the project. Help him estimate the cost of his concrete project.

Answers

The required cost of the concrete project is given as $740.7.

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
The volume of the slab is given as,
= length × width × height
= 10 × 12 × 4/12
= 40 cubic feet,

Now,
The cost of a concrete slab is given by
= Total volume (cubic foot) x $500/27
= 40 × 500 / 27
= $740.7

Thus, the required cost of the concrete project is given as $740.7.

Learn more about Volume here:
brainly.com/question/1578538

#SPJ3

Answer:

Not sure if this is correct but i believe the price would be $20,000

Step-by-step explanation:

Yoour perimeter is 120ft and it is 1/3 of a foot. So i did 120/3 and i got 40. The 40 is how many square feet you will need. you do 40x500 and i got $20,000. Sorry if this is wrong as i was kind of confused for a moment

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