A 20-foot piece of metal is cut INTO pieces that each measure 1 1/4 feet. How many pieces are there after the cut?

A. 16
B. 25
C. 18.75
D. 5

Answer:

Let y=ax^2+bx+c be the equation of the parabola. Set up equations.

Using (0,5). 5=a(0)2+b(0)+c

5

=

a

(

0

)

2

+

b

(

0

)

+

c

Using (2,15), 15=a(2)2+b(2)+5

15

=

a

(

2

)

2

+

b

(

2

)

+

5

4a+2b=10

2a+b=5

Using (4,9)

9=a(4)2+b(4)+5

9

=

a

(

4

)

2

+

b

(

4

)

+

5

16a+4b=4

4a+b=1

Subtract each side of (1) and (2) to eliminate b and solve for a: -2a=4

a=-2

Solve for b using (1): 2(-2)+b=5

-4+b=5

b=9

So, the equation is y=−2x2+9x+5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 38 miles

Answer:

a) 110 mm

b) y = 11x

Step-by-step explanation:

The unit rate for  6 CD at 66 mm is

66mm / 6 CD  = 11 mm per CD

a) 10 CD's

66 mm      x mm

---------  = ------------

6 CD            10 CD

Using cross products

66 * 10 = 6x

660 = 6x

Divide by 6

660/6 = x

110 mm for 10 CD's

b)   y =  11 x

We use the rate and multiply by the number of cases to get the height

Answer:

see explanation

Step-by-step explanation:

(a)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 100) and (x₂, y₂ ) = (2, 200) ← 2 points on the line

m = [tex]\frac{200-100}{2-0}[/tex] = [tex]\frac{100}{2}[/tex] = 50

The line crosses the y- axis at (0, 100 ) ⇒ c = 100

y = 50x + 100 ← equation of line

where y is monthly savings and x the time in months

(b)

Slope is the monthly deposit , that is $50 per month

The y- intercept indicates the original amount in her account , that is $100

Answer:

85 because if you do the math

Answer:

Step-by-step explanation:

You can use a fill in the blank formula called "point-slope" formula because you were given a point and the slope. But there's an even easier way because they gave you a special point. The point (0, -2) is on the y-axis. So it actually IS the y-intercept. So just in this case, you can use the slope-intercept formula as a fill-in-the-blank formula bc you were actually given the slope (we always use m for slope) and the y-intercept.

This is y = mx + b... fill in the given slope for the m, fill in the y-intercept for the b, then you're done!

y = 2x -2

Answer:

48. 95,400 mL

50a. 331 yds.

50b. 11,916 in.

Step-by-step explanation:

Some helpful conversions can solve this for you :)

1 liter = 1000 mL

1 yard = 3 feet

1 feet = 12 inches

Now we get started!

48. We have 95.4 Liters, multiply by 1000 because 1000 mL per Liter. Therefore it's 95,400.

50

a. 3 feet per yard, so 993 feet divided by 3 is 331 yards.

b. 12 inches per foot, so 993 feet multiplied by  12 is 11,916

Answer:

x=3

y=11

Step-by-step explanation:

5x + 2y = 37

y = x + 8

5x+2(x+8)=37

5x+2x+16=37

7x=21

x=3

y = (3) + 8

y=11

Answer:

0

Step-by-step explanation:

-20.5 is the same as -20.5[tex]x^{0}[/tex], since anything to the zero power is equal to 1.

Answer:

The degree of a monomial is the sum of the exponents of the variables.

Therefore,

The degree of the monomial - 20.5   is 0, because there is no variables only numeric terms.

Step-by-step explanation:

To find the degree of monomial.

Basically,

- If one term is present, then it is monomial.

- If two term is present, then it is binomial.

- If three term is present, then it is trinomial.

- If more than three term is present, then it is polynomial.

Answer:

9

Step-by-step explanation:

The coefficient is always the number before the variable (X).

Answer:9

Step-by-step explanation:

The coefficient is always by the variable (the number or letter)

Answer:

8?

Step-by-step explanation:

i am not sure

Answer: 200 Students

Step-by-step explanation:

Answer:

Me two I'm dum lol I think it 2× 9=18 in to 0 go 0 times

Answer:

#1= 5

#2= i think it's a red square

#3= 243

Step-by-step explanation:

ok so im rlly sorry but i think i can only solve 1 2 and 3:

for #1:

the pattern is subtracting 1,2,3,4 each time it goes to the next number.

29-28=1

28-26=2

26-23=3

23-19=4

19-?=5

?=14

19-14=5

so answer would be 5

for #2:

the pattern goes red triangle, red square, blue triange, blue square, red triangle, etc.

so with it continuing on, it would be red square

for #3:

the pattern looks like they're multiplying by 3 each time:

3x3=9

9x3=27

27x3=81

81x3=?

?=243

81x3=243

so the answer would be 243

hope this helped :)

X = 23

Y = 129

Hope this is helpful!

Answer:

i think x = 23, y = 129

Step-by-step explanation:

5x+14+3x-18 = 180

8x-4 = 180

8x = 184

x = 23

3x-18+y = 180

3(23)-18+y = 180

69-18+y = 180

51+y = 180

y = 129

The ratio of the height of the triangle to the side of the square (B) 1 : 2

The area of a triangle is (1/2)×base×height.

The area of a square is (side)².

Given, The area of a square is four times the area of a triangle.

∴ (side)² = 4{(1/2)×base×height}.

The base of the triangle and the side of the square are equal let this be 'a'.

∴ a² = 4(1/2)×a×height.

a = 2×height.

a = 2h.

learn more about squares here :

https://brainly.com/question/14198272

#SPJ2

Answer:

1.Identify the slope.

2.Identify the point.

4.Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .

5.Write the equation in slope-intercept form.

Step-by-step explanation:

Answer:

y=-\frac{2}{3}x+3

Step-by-step explanation:

[tex]y=mx+b[/tex]

There are 4 variables in this equation, and 3 of them are already given. We already have the slope and the (x, y) of a known point. Plug those 3 into the equation and solve for b:

[tex]7=-\frac{2}{3}(-6)+b\\7=4+b\\b=3[/tex]

Now, with the slope and the y-intercept, you can write the equation of the line:

[tex]y=mx+b\\\\y=-\frac{2}{3}x+3[/tex]

Answer:

111 minutes and 40 sec

Step-by-step explanation:

11x10=110 minutes

10 sec x 10 = 100 seconds = 1 minute 40 sec

110 minutes+1 minute+40 seconds= 111 minutes and 40 seconds

Answer:

A: yes

B: yes

C: no

D: no

E: no

Hope This Helps!!!

Answer:

s = -2

s = -8

Step-by-step explanation:

negative numbers get smaller and smaller the farther they are from zero

Answer:

y=1.58

Step-by-step explanation:

7=4(3y-3)

Simplify the distributive property.

7=12y-12

Add 12 to both sides.

19=12y

Divide 12 on both sides.

1.58=y

-hope it helps

Answer:

I think it's 18

Step-by-step explanation:

P=2(l+w)=2(7+2)=18

it's been awhile I believe this is it

Answer:

Answer:

x = the wight of the large box

y = the weight of the small box

A delivery of 3 large boxes and 2 small boxes has a total weight of 73 kilograms.

3x + 2y = 73

A delivery of 8 large boxes and 4 small boxes has a total weight of 177 kilograms.

8x + 4y = 177

by solving the system of equations

3x + 2y = 73

8x + 4y = 177

we find

x = 15.5 kg

y = 13.25 kg

the large box weights 15.5 kg.

the small box weights 13.25 kg.

Answer:

15360m3

Step-by-step explanation:

a=l*w*h

1.6m*80m*120m

=15360m3

Answer:

62

Step-by-step explanation:

Substitute n = 16 into the sequence rule

s(16) = 4(16) - 2 = 64 - 2 = 62

Answer:(-4,3)

Step-by-step explanation:

Here, Every equation has same slope (-4) and same y-intercept (3), so we don't need to calculate those.

Now, as coordinates are in left-portion, and also touches the line, it would be: y ≥ -4x + 3

Answer: I’m pretty sure it’s SAA

Step-by-step explanation: if it were ASA the side would be in between the two congruent Angles but that’s not the case here. And it has enough information so it’s also not neither.

The statement that proves that the triangles are congruent is SAA

From the figure, we have the following highlights

This means that, the congruent statement is SAA i.e. Side-Angle-Angle

Hence, the statement that proves that the triangles are congruent is SAA

Read more about congruent triangles at:

https://brainly.com/question/1675117

Answer:

he can shoot 12 shots in 1minute

Step-by-step explanation:

3minutes = 36 shots

1 minute= 36 divided by 3 which is equal to 12

Answer:

x = 52

Step-by-step explanation:

28 + x - 4 + 2x = 180

Simplify the left side

3x + 24 = 180

Subtract 24 from each side

3x = 156

Divide each side by 3

x = 52