which comparisons can be made using these fraction bars?

Answer:

a) The slope of the function is 3.

c) The equation is represented by [tex]n(t) = 3\cdot t + 35[/tex].

d) The y-intercept of the function is 35.

Step-by-step explanation:

a) According to the statement, we must assume that number of pieces of mail that must be hand-sorted (dependent variable) is represented by a linear function in terms of time (independent variable). That is:

[tex]n(t) = m\cdot t + n_{o}[/tex] (1)

Where:

[tex]m[/tex] - Slope, measured in number of pieces per minute.

[tex]t[/tex] - Time, measured in minutes.

[tex]n_{o}[/tex] - Initial number of pieces of mail that must be hand-sorted (y-intercept), measured in pieces.

[tex]n[/tex] - Current number of pieces of mail that must be hand-sorted, measured in pieces.

From Geometry, we know that a line can be formed by know two distinct points. If we know that [tex]n(15\,min) = 80\,p[/tex] and [tex]n(45\,min) = 170\,p[/tex], then the following system of linear equations is formed:

[tex]15\cdot m + n_{o} = 80[/tex] (2)

[tex]45\cdot m + n_{o} = 170[/tex] (3)

The solution of the system of equations is:

[tex]m = 3[/tex] and [tex]n_{o} = 35[/tex]

The slope of the function is 3.

c) By (1) and using results from a) we conclude that the equation function is:

[tex]n(t) = 3\cdot t + 35[/tex] (4)

d) The y-intercept of the function is 35.

Answer:

Your answer is 506.

Step-by-step explanation:

To subtract fractions, find the LCD and then combine.

506

Please give me brainiest and also add me please.

Answer:

506

Step-by-step explanation:

First, we have to solve 8 to the power of 3 according to PEMDAS, which will give us 512.

Since we have to follow PEMDAS or GEMDAS (whichever you know), we will have to multiply 9 by 2 next. That will give us the equation: 512 - 18 / 3

Then we have to divide 18 by 3 to give us 6 which will give us the equation: 512 - 6 which we can solve to get 506

(sorry if this is confusing but I hope it helped anyway)

The answer is f(x) = g(x+2) + 1.

Answer:

4.5cm, 7.5 cm, 6 cm

Step-by-step explanation:

Multiply 10, 8 and 6 by 0.75 to get answers

Answer:  4.5 ,  6 , 7.5   will be the new measures

Step-by-step explanation:

Multiply each side by the dilation factor to find the new sides.

6*0.75 =  4.5

8 * 0.75 =  6

10*0.75  =  7.5

Answer:

Fx = -2 because if we multiply with the f and the x we will get Fx = - 2

Answer:

The answer is 81°

Step-by-step explaination:

To start, the top right angle and the bottom left angle are alternate interior angles, making them congruent. The same justification goes for the angles in the top left and bottom right. With this in mind, 37° + 44° = 81°. Every triangle's angles always add up to 180°, meaning that 180° - 81° = 99°. Because angle n and the angle we just found to be 99° are supplementary, they also add up to 180°, therefore 180° - 99° = 81° which is the value of angle n.

Answer:

x=-9

y=-3

Step-by-step explanation:

Answer:

x=-3/7, y=99/7. (-3/7, 99/7).

Step-by-step explanation:

-2x+y=15

3x+2y=-33

----------------

-2(-2x+y)=-2(15)

3x+2y=-33

---------------------

4x-2y=-30

3x+2y=-33

----------------

7x=-3

x=-3/7

-2(-3/7)+y=15

6/7+y=15

y=15-6/7=105/7-6/7=99/7

Answer:

7miles

equations shown in work image below

work shown on the paper with more explanations because text is hard to write equations (sorry I used km but it is miles for your problem.)

:) please give a heart for thanks

and brainliest crown :)

Step-by-step explanation:

For both d=r*t

Each bikes to others house and leave at the same time so for Tony,

11 = 30*t

t= 11/30 hours

for Gerry,

11 = 25*t

t= 11/25 hours

Comparing these, with LCD,

Tony's time is 55/150

Gerry's time is 66/150

So Tony got to Gerry's house 11/150 hours quicker than Gerry got to Tony's house.

Now they turn around and head back toward each other. If they leave at the same exact time, the elapsed time for each until they met would be the same so t (for tony) = t (for gerry), but Tony got a head start.

We start the stopwatch when Gerry turns around 11/150 hours after Tony has turned around. If Gerry's time to where they meet from Tony's house t(gerry), then Tony's time from Gerry's house is t(gerry) + 11/150

Step-by-step explanation:

For both d=r*t

Each bikes to others house and leave at the same time so for Tony,

11 = 30*t

t= 11/30 hours

for Gerry,

11 = 25*t

t= 11/25 hours

Comparing these, with LCD,

Tony's time is 55/150

Gerry's time is 66/150

So Tony got to Gerry's house 11/150 hours quicker than Gerry got to Tony's house.

Now they turn around and head back toward each other. If they leave at the same exact time, the elapsed time for each until they met would be the same so t (for tony) = t (for gerry), but Tony got a head start.

We start the stopwatch when Gerry turns around 11/150 hours after Tony has turned around. If Gerry's time to where they meet from Tony's house t(gerry), then Tony's time from Gerry's house is t(gerry) + 11/150

Step-by-step explanation:

pick her as the brainliest

Answer:

They made 3 8/11

Step-by-step explanation:

Answer:

A) ASA

the third angle is the common one

Answer:

12

Step-by-step explanation:

For the distance on the number line it is 12 because -9 count that up to 0 and then add the rest.

Answer:

What is the question?

Step-by-step explanation:

Answer:

y=60x

Step-by-step explanation:

i did it on edg2020

Answer:

(2.5,150)(4,240)

slope = (240 - 150) / (4 - 2.5) = 90 / 1.5 = 60

y = mx + b

slope(m) = 60

(4,240)...x = 4 and y = 240

now we sub and find b, the y int

240 = 60(4) + b

240 = 240 + b

240 - 240 = b

0 = b

so ur equation is : y = 60x + 0 which is written as : y = 60x <==

Answer:

−1<x<2 or 2<x<3

Step-by-step explanation:

You need to find the critical points of the inequality first. Factor must be at left side of equation. Then set factors to 0. Be sure to check intervals in between critical points (test the intervals to see if they work/fit).

Hope this helps!

Answer:

You would need to put points at:

(-4,6)

(-3,5)

(-2,4)

(-1,3)

(0,2)

(1,1)

(2,0)

(3,-1)

(4,-2)

(5,-3)

(6,-4)

The graph will look like the one attached:

Hope this helps!!

- Kay :)

Answer:

1/160

Step-by-step explanation:

Assuming that you want to roll a 5 and then select the ace of hearts that would make this a sequence of events. In order to find the probability of this happening, you would need to multiply the probability of each of these events happening separately with one another.

Since there are a total of 6 possible outcomes when rolling a die (1,2,3,4,5,6) which rolling a 5 is only one of the options. Meaning that the probability of rolling a 5 is 1/5.

In a deck of cards, there are a total of 32 cards in the deck and only 1 of those cards is an ace of hearts. Meaning that the probability of getting the ace of hearts is 1/32. Now we simply multiply these two probabilities together to get the probability of the sequence.

1/5 * 1/32 = 1/160

Answer:

4,024.076

Step-by-step explanation:

and = Decimal point

0 = tenths 7 = hundredths 6 = thousandths

Answer:

l like ya g

Step-by-step explanation:

I forgot mostly uHm

Answer:

x=y=z=90.

Step-by-step explanation:

let the 3 numbers be x,y,z.

let s be sum

s=x+y+z

we need to maximize xy+yz+zx

or , xy + y(270-(x+y))+x(270-(x+y)) = P(x)

Use Lagrange's Multipliers

⇒ΔP= λΔS

⇒[tex]\frac{x+y}{x+z} =1[/tex]

⇒y=x

⇒\frac{x+z}{x+y} =1

⇒z=y

⇒x=y=z

⇒3x = 270

⇒x= 90

hence, x=y=z=90.

Answer:

Where is the expresion ??

Step-by-step explanation:

Answer:

imma go wit B. I mean thats my guess

Answer:

60 attempts

Step-by-step explanation:

Divide 51 by .85, and you get 60!

Answer:

part 1 its telling you to measure people

part two is telling you to put it into a graph and find the rate of change. more than likely there won't be a rate of change for you

part three:

y = 0.860x + 3.302

y = 0.860(17) + 3.302

0.860(17) = 14.62

14.62 + 3.302 = 17.922

y = 17.922

sorry this is as far as i had gotten

Answer:

1) larger number

18 ; 14 ;17 ; 19

2.) smaller number

11, 16, 12, 15

Step-by-step explanation:

Given two numbers in each as follows :

A.) 18 ____ 12 ; 18 > 12

B.) 11 _____14 ; 14 > 11

C.) 15 ____ 17 ; 17 > 15

D.) 19 ____ 11 ; 19 > 11

Color the smaller number ::

20 ____ 11 ; 11 < 20

16 ____ 19 ; 16 < 19

12 ____ 13 ; 12 < 13

15 ____ 20 ; 15 < 20

Answer:

A. y=5x

Step-by-step explanation:

Answer:

A.

This assumption is that the distribution of polyunsaturated fat % of each if these four regimes must be with equal variances as well as uniform.

B.

The null hypothesis

H0: μ1 = μ2 = μ3 = μ4

The alternate hypothesis:

H1: at least 2 means are unequal

C.

First we calculate the grand mean

= 1/54[15(42.9)+17(43.1)+8(43.7)+14(43.9)]

= (643.5 +732.7 + 349.6 + 614.6)/54

= 2340.4/54

= 43.341

Sum of squared treatment

= [15(42.9-43.341)²+17(43.1-43.341)²+8(43.7-43.341)²+14(43.9-43.341)²]

= 9.3104

Mean square of treatment

= SST/I-1

= 9.3104/4-1

= 9.3104/3

= 3.1035

Error sum of squared

= (15-1)*(1.3)² + (17-1)*(1.5)² + (8-1)*(1.2)² + (14-1)*(1.2)²

= 88.46

Error mean square

MSE = 88.46/54-4

= 1.7692

Test statistic

= 3.1035/1.7692

= 1.75