PLEASE HELP DUE IN 5 MIN!!!!!!!!!!!!!!!!!!! A study was designed to determine the relationship between the weight of new cars and their gas mileage. What are the independent and dependent variables for this study? A. The independent variable is the gas mileage, and the dependent variable is the weight of the cars. B. The independent variable is the gas mileage, and the dependent variable is the age of the cars. C. The independent variable is the weight of the cars, and the dependent variable is the age of the cars. D. The independent variable is the weight of the cars, and the dependent variable is the gas mileage.

Answers

Answer 1

Answer:
If the weight of the car were the dependent variable, then
that would mean that the weight of the car depends on the
gas mileage. In that case, the car would probably have
different weights in the city and on the open highway.
The car would really get heavy when you drive it during
rush hour on a rainy day. But if a trained professional
efficiency driver checked the tire pressure, tuned up the
\ignition system and the fuel mixture, then got in and took it
for a spin out on the highway on a cool sunny day, maintained
a constant speed, avoided sudden starts and stops, let the
car gain speed on the down-hills and let it lose speed on the
up-hills, then the car's weight would drop lower than it's ever
been before.
Does any of this sound reasonable to you ?

Go ahead and take a wild guess.

Then mark ' A ' .

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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.

Kevin has 3 bags of apples weighing a total of 22 1/2 pounds.Two of the bags weigh 6 3/8 pounds and 3 1/4 pounds.How much does the third bag weigh?

Answers

3 bags total 22 and 1/2
bag1+bag2+bag3=22 and 1/2
two of the bags weight 6 and 3/8 and 3 and 1/4 so just assign them random bags
bag1=6 and 3/8
bag2=3 and 1/4
subsitute

6 and 3/8+3 and 1/4+bag3=22 and 1/2
we have to add them by making the bottom number same

6 and 3/8+3 and 1/4
common one is 8
6 and 3/8+3 and 2/8
6+3/8+3+2/8
9+5/8

9 and 5/8+bbag3=22 and 1/2
subtract 9 and 5/8 from both sides
bag3=22 and 1/2-9 and 5/8
bag3=22+1/2-9-5/8
bag3=22+4/8-9-5/8
bag3=21+8/8+4/8-9-5/8
bag3=21+12/8-9-5/8
bag3=21-9+12/8-5/8
bag3=12+7/8
bag3=12 and 7/8

answe ris 12 and 7/8 pounds

First, you change 6 3/8 and 3 1/4 to a common denminator. 8

6 3/8= 6 3/8
3 1/4= 3 2/8 (x2)

Then add those.

6 3/8+ 3 2/8 = 9 5/8

Then subtract 22 1/2 and 9 5/8. (Common denominator)

22 1/2= 22 4/8 (x4)
9 5/8= 9 5/8

the 3rd bag is 12 7/8 lbs.

You can also add each bag (lbs) to see if it gets to 22 1/2
Hope this helps!

2-2s=3/5s+13
Solve for s

Answers

Hello!

$S=-55/13$

Simplify both sides of the equation

$2-2s=3/5s+13$

$2+-2s=3/5s+13$

$-2s+2=3/5s+13$

Subtract 3/5s from both sides

$-2s+2-3/5s=3/5s+13-3/5s$

$-13/5s+2=13$

Subtract 2 from both sides

$-13/5s+2-2=13-2$

$-13/5s=11$

Multiply both sides by 5/(-13)

$(5/-13)*(-13/5s)=(5/-13)*11$

Answer:

s=-55/13

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2−2s=35s+13

2+−2s=35s+13

−2s+2=35s+13

Step 2: Subtract 3/5s from both sides.

−2s+2−35s=35s+13−35s

−135s+2=13

Step 3: Subtract 2 from both sides.

−135s+2−2=13−2

−135s=11

Step 4: Multiply both sides by 5/(-13).

(5−13)*(−135s)=(5−13)*(11)

s=−55/13

9 and what equals 32????

Answers

the answer is 9+23=32

9+23=32 Because its just how you add or maybe you were just too lazy to do it on your mind :p

Which is an example of an algebraic expression? A. m – 3 B. b > –2 C. 4 c > 1 D. 12 = a 6

Answers

In a algebraic expression, numbers and/or variables have to EQUAL other numbers and/or variables.

A. m - 3 INCORRECT because it doesn't equal anything

B and C are also INCORRECT. They have greater than saigns, which means they are inequalities.

D is the answer

4x + 3 < -1
Cual es la respuesta