3. A wheel with a diameter of 12 inches will move 377 inches when rolled five times. How far will the same
wheel move, to the nearest inch, in 16 rolls?
(1) 31
(3) 4,524
(2) 1,206
(4) 2,932

The value of x = 1/2 , y = 3 of the simultaneous equation.

"Simultaneous Equation is an essential Chapter in the Algebra branch of Mathematics. There are times when you come across two or more unknown quantities and two or more equations relating to them. These are called Simultaneous Equations. When you are asked to solve such equations, you must find values of the unknowns which satisfy all the given equations at the same time. They are Simultaneous Equations because the equations are solved at the same time. Simultaneous Equations need algebraic skills to find the values of letters within two or more equations."

Given, The equations

[tex]2x + 3y = 10[/tex] ----------- eq 1

[tex]4x - y = -1[/tex] ------------ eq 2

multiplying eq 1 by 2

[tex]4x + 6y = 20[/tex] ----------- eq 3

now subtracting eq 3 from eq 2

we get, [tex]7y = 21[/tex]

y = 3 and x = 1/2

Hence, the values of x and y = 1/2, 3 respectively.

To know more about Simultaneous Equation here

https://brainly.com/question/16763389

#SPJ3

Answer:

I have solved them but I don't know what to o next

Step-by-step explanation:

1) lx- 11+ 1< 15

+11 on both sides

lx+ 1< 26

-1 on both sides

lx< 25

2) lx-11+1>15

+11 on both sides

lx+1>26

-1 on both sides

lx> 25

Answer:

Both absolute values would need to be isolated first.

You would need to write a compound inequality for each.

Both compound inequalities would compare

x – 1 to  –15 and 15.

The inequality with “<” would use an “and” statement, while the “>” would use an “or” statement.

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Took the test

First table correctly list the reasons.

Given from fig two lines intersect each other and form angles as shown in fig.

Now we have to prove angle 1 equals to angle 3.

From table first all the step by step statement and reasons are correct but in table second 4th statement is correct but its reason is wrong. similarly in 3rd table 5th statement is correct but its reason is wrong.

So we can say now first table is correctly list the reasons to prove angle 1 equals to angle 2.

For more details on Transitive property follow the link below:

https://brainly.com/question/862440

Answer:

x = 5/2,2

Step-by-step explanation:

Answer:

oml yall really on here

Step-by-step explanation:ion know do you homework

Answer:

5 weeks

Step-by-step explanation:

Substract 319.5 (the amount he has to save) to the amount he has already saved, which is 21.95. Now the constant amount of change is 63 dollars each week so divided it by that. So the equation should be (319.5-21.95) and divide all that by 63 to get 4.72 or rounded to the nearest number, is 5.

Answer:

13/17, 20/17

Step-by-step explanation:

3x + 4y = 7 --- Equation 1

Equation 1×5:

15x + 20y = 35 --- Equation 2

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

8x + 5y = 12 --- Equation 3

Equation 3×4:

32x + 20y = 48 --- Equation 4

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

Equations 4-2:

32x + 20y - 15x - 20y = 48 - 35

17x = 13

x = [tex]\frac{13}{17}[/tex]

Substitute x = [tex]\frac{13}{17}[/tex] into Equation 1:

3x + 4y = 7

3([tex]\frac{13}{17}[/tex]) + 4y = 7

[tex]\frac{39}{17}[/tex] + 4y = 7

4y = 7 - [tex]\frac{39}{17}[/tex]

    = [tex]\frac{119}{17}[/tex] - [tex]\frac{39}{17}[/tex]

    = [tex]\frac{80}{17}[/tex]

y =  [tex]\frac{80}{17}[/tex] ÷ 4

y = [tex]\frac{20}{17}[/tex]

Thus, x = [tex]\frac{13}{17}[/tex], y = [tex]\frac{20}{17}[/tex].

( [tex]\frac{13}{17}[/tex], [tex]\frac{20}{17}[/tex])

Answer:

1

Step-by-step explanation:

Subtract

Since they have the same denominator you can subtraact normally

so 2 2/3- 1 2/3

That would be 1

Answer:

its 24

Step-by-step explanation:

you count all the way up to 47 from 25

Answer:

46.8

Step-by-step explanation:

formula is change/ original x 100

Answer:

Here

Step-by-step explanation:

The volume of cuboid = (Length x Breadth x Height) cubic units = ( l x b x h) cubic units.

Answer:

Sure!: 8c + 4

Step-by-step explanation:

Collect Like Terms: (6c+2c)+4

Simplify: 8c + 4 (You add 6c and 2c, then just keep 4.)

Brainliest Please!!?!!!!!!!!!

- ElizabethKate

Answer:

if the graph of a proportional relationship passes through the point (1 , R) then r equals the slope and the unit rate , which is $4.75 per min

Step-by-step explanation:

Answer:

10:25 AM

Step-by-step explanation:

Solving the question above, we are total that:

On Wednesday at camp, Melissa went for a hike at 6:30 A.M. The hike took 2 hours and 55 minutes. As soon as she got back from the hike, Melissa played volleyball for 1 hour.

The time that Melissa finished playing volleyball is calculated as:

6:30AM + 2 hours 55 minutes + 1 hour

= 6:30 am + 3 hours 55 minutes

= 9:85 minutes

60 minutes = 1 hour

85 minutes = 1 hour 25 minutes

= 10:25 AM

Hence: Melissa would finish playing volleyball at 10:25 AM

Answer:

14/15

Step-by-step explanation:

3/5 + 1/3 = 9/15 + 5/15

9+5/15 = 9+5/15

14/15 = 14/15

Hope you got it.

srry for late..

Answer:

48%28mil%2Fh%29

Step-by-step explanation:

if car travels %282%2F5%29mil%2F%281%2F2%29min =>2%282%2F5%29%28mil%2Fmin%29=%284%2F5%29%28mil%2Fmin%29

since 1h=60min multiply %284%2F5%29mil by 60 to get the number of miles per hour %284%2Fcross%285%29%29cross%2860%2912%28mil%2Fh%29=4%2A12%28mil%2Fh%29=48%28mil%2Fh%29

Answer:

48 miles

Step-by-step explanation:

1h = 60m

[tex]\frac{1}{2}[/tex]m --- [tex]\frac{2}{5}[/tex]miles

0.5m --- [tex]\frac{2}{5}[/tex]miles

60m --- [tex]\frac{60}{0.5}[/tex] × [tex]\frac{2}{5}[/tex]miles

            = 48 miles

Answer:

51 and  -27

Step-by-step explanation:

The sum of two numbers is 24 and their difference is 78. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 24. In other words, x plus y equals 24 and can be written as equation A:

x + y = 24

The difference between x and y is 78. In other words, x minus y equals 78 and can be written as equation B:

x - y = 78

Now solve equation B for x to get the revised equation B:

x - y = 78

x = 78 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 24

78 + y + y = 24

78 + 2y = 24

2y = -54

y = -27

Now we know y is -27. Which means that we can substitute y for -27 in equation A and solve for x:

x + y = 24

x + -27 = 24

X = 51

Summary: The sum of two numbers is 24 and their difference is 78. What are the two numbers? Answer: 51 and -27 as proven here:

Sum: 51 + -27 = 24

Difference: 51 - -27 = 78

Answer:

The numbers are 27 and 51

Explanation

x - y = 24

x + y = 78

Add together the equations

2x = 102

x = 51

Put into equation

51 - y = 24

27 = y

Answer:C

Step-by-step explanation:

Answer:

22%

Step-by-step explanation:

The percentage of tax can be found by calculating the percent change.

new - old / old

6084 - 7800 / 7800

= -0.22 or -22%

This means the price decreased by 22%, meaning you paid 22% in taxes.

please click heart button to give thanks :)

Answer:

The answer is 15

Step-by-step explanation:

125/5=25

25-10=15

An= 5[15+10]=125

Answer:

c

Step-by-step explanation:

.

Answer:

C) 44

Step-by-step explanation:

The team won 22 games. 22 is supposedly 50% or half of them. Half plus half is whole. If 22 is half, then we do 22 + 22 to find the total number of games played by the team. 22 + 22 is 44.

Hope it helps!

Answer:

m=3

Step-by-step explanation:

rise/run or y/x

using the y coords/x coords

15-0/-3-(-8)

=15/-3+8

=15/5

=3

Answer:

the amount increased by approximatley 12%

Step-by-step explanation:

Answer:

12.5%

Step-by-step explanation:

Answer:

18 in

Step-by-step explanation:

Answer:

18 in

Step-by-step explanation:

1 ft = 12 in

Hioe this helps. Pls give brainliest.

Answer:

y=5/2x-16

Step-by-step explanation:

First, we want to find the slope of the original line.

m= -4+8/-1-9

m= 4/-10

m= -2/5

Because we want the perpendicular bisector, we will need the slope to be the opposite reciprocal. Therefore, our slope is

m=5/2

Now, we want to find the midpoint of the line.

9-1/2

8/2=4

-8-4/2

-12/2= -6

So, the midpoint is (4,-6)

Using the information we have, we now can find b.

-6=5/2(4)+b

-6=10+b

-16=b

That gives us our equation

y=5/2x-16

Answer:

540

Step-by-step explanation:

you do 60 mph times 9 and you get your answer

Answer:

540 miles

Step-by-step explanation:

-To solve what the distance is, you can use the formula:

d = st, where the distance is equal to the speed times the time.

-Plug the values into the formula (60mph is the speed, and 9 hours is the time):

d = 60(9)

-Solve it to get:

d = 540

-So, distance = 540 miles

Answer: Daniel traveled 540 miles

Hope this helps! :)

Answer:

Step-by-step explanation:

Given line h:

Dilated line is parallel to original, so will have same slope of -2

y-intercept will change by a scale factor of 4:

So the equation of the new line is:

Answer: it D. 1,512

Step-by-step explanation: i hop this helps if it wrong sorry about that

Answer:

The amount of discount $70

New price $130

Step-by-step explanation:

To find how much 35% of 200 is, we multiply 200 with 35 then divide it with 100

200 × 35 ÷ 100 = 70 the bike's price is reduced by 70$ and the new price

20ü - 70 = 170$

Answer:

Ethan got 91% of the questions correct

Step-by-step explanation:

18 ÷ 200 = 0.09

0.09 x 100 = 9

100 - 9 = 91

91%