A roller coaster has 3 trains with 7 rows per train. Riders stand in rows of 6, for a total of 42 riders per train. The operators of the coaster recorded the number of riders on each train during a run. On the first train, the operators reported that 6 rows were filled. On the second train, all 7 rows were filled. On the third train, 4 rows were filled. How many rows were empty on the first train? How many additional riders would it take to fill those empty rows?

Answers

Answer 1

Answer:

a. 1 row

b. 6 people

Step-by-step explanation:

a. Each train has 7 rows yet the first train only had 6 rows filled up. This means that:

= 7 - 6

= 1 row was empty

b. Riders stand in rows of 6 which means that one row has 6 people. With only 1 row empty, the number of people needed will be:

= 6 people


Related Questions

complete the sequence. 4,20,100,500

Answers

Answer:2500, 125000

Step-by-step explanation:

Multiply by 5

In 1990 it would have cost $3.70 to send 13 postcards and 7 letters. It would have cost
$2.65 to send 6 postcards and 7 letters. How much did it cost to send a letter in 1990?

Answers

Answer:

$0.37

Step-by-step explanation:

This can be solved by solving a system of linear equations that is shown above.

Determine the number of zeros of the polynomial function f(x)= x^8-x^9

Answers

Step-by-step explanation:

Determine if odd, even, or neither.

The function is neither even nor odd

Answer:

9

Step-by-step explanation:

The highest power of x is 9:  x^9

and therefore this polynomial will have 9 zeros.

2. Are the triangles shown below similar
not? How do you know? (Explain your reasoning)

Answers

Answer:

yes the both have all the same angles

Step-by-step explanation:

180-90=90

90-35=55

these triangles are not similar because although they are the same shape, they are not the same size.

In the past month, Heather rented 1 video game and 5 DVDs. The rental price for the video game was $3.30. The rental price for each DVD was$4.80 . What is the total amount that Heather spent on video game and DVD rentals in the past month?

Answers

Answer:

$27.30

Step-by-step explanation:

$4.80×5=$24.00+$3.30=$27.30

Example:
Brigette is putting a border around a scrapbook cover.
The cover is 12 inches tall and 14.5 inches wide. How
much border does Brigette need?

Answers

Answer:

53

Step-by-step explanation:

You need the perimeter, which is all sides added together

Answer:

53

Step-by-step explanation:

Perimeter= w+w+h+h

w=width

h=height

w=14.5

h=12

12+12=24

14.5+14.5=29

29+24=53

Someone plz help me plz

Answers

Answer:

3(24+56)

Step-by-step explanation:

3 times sum of 24 and 56 so your adding 24 and 56 and multiplying it by 3

3(24+56)

Answer:

3(24 +56)

Step-by-step explanation:

sum of 24 and 56 means addition

3 times the sum means multiplication

the format you'd use in math would be 3(24 +56)

use the discrminant to determine all values of k which would result in the equation -3x^2-6x+k=0 having real,unequal roots.​ must be right ty helppp asap

Answers

Answer:

[tex]k>-3[/tex]

Step-by-step explanation:

We have the equation:

[tex]-3x^2-6x+k=0[/tex]

Where a = -3, b = -6, and c = k.

And we want to determine values of k such that the equation will have real, unequal roots.

In order for a quadratic equation to have real, unequal roots, the discriminant must be a real number greater than 0. Therefore:

[tex]b^2-4ac>0[/tex]

Substitute:

[tex](-6)^2-4(-3)(k)>0[/tex]

Simplify:

[tex]36+12k>0[/tex]

Solve for k:

[tex]12k > -36[/tex]

[tex]k>-3[/tex]

So, for all k greater than -3, our quadratic equation will have two real, unequal roots.

Notes:

If k is equal to -3, then we have two equal roots.

And if k is less than -3, then we have two complex roots.

Katie wants to figure out how far her school is from her house. She took out a map and measured the distance to be 4 inches. If the scale factor on the map is 1 inch = 6 miles, how many miles would her house from school be

Answers

Answer:

24 miles UwU

Step-by-step explanation: G'day mate!

12. UZ, VX, and TW are medians of Triangle TUV. If YX = 8, find VY.​

Answers

Answer:

VY = 16

Step-by-step explanation:

The median of a triangle is the segment that joins a vertex and the midpoint of the side opposite to this vertex.The point of intersection of the medians of a triangle, divide each median at ratio 2: 1 from the vertex.

In the given figure

∵ TUV is a triangle

UZ, VX, and TW are medians

∵ UZ ∩ VX ∩ TW at point Y

∴ Y is the point of intersection of the 3 medians

→ By using the 2nd rule above

∵ The point Y divide VX at the ratio of 2: 1 from the vertex V

VY: YX = 2: 1

∴ [tex]\frac{VY}{YX}[/tex] = [tex]\frac{2}{1}[/tex]

→ By using cross multiplication

∵ VY × 1 = YX × 2

VY = 2YX

∵ YX = 8

∴ VY = 2(8)

VY = 16

Write an equation that described how many cups of milk, m, would be needed for b cups of blueberries. 6 cups of milk for 2 cups of blueberries

Answers

Answer:

6 x 2 = ?

6 x 2 = 1 2

Step-by-step explanation:

6 cups of milk and 2 cups of blueberries multiply them from each other and you get your answer .

12 is the answer for this question

HELP PLEASEEEEEEEEEE

Answers

Answer: 1/125

Step-by-step explanation:

first, i multiplied it.

1/5^3

then, it's easy to evaluate from there.

1/125

Find the product.
(-7)(5) =

Answers

Answer:

-35

Step-by-step explanation:

Answer:

-35

Step-by-step explanation:

A negative times a positive is a negative number:

-7*5=-35

The radius of a circle is 12 centimeters. What is the circle's area?
r=12 cm
Use 3.14 for a
square centimeters

Answers

Answer:A=452.16

Step-by-step explanation:

A=π·r²

A=3.14·12²

A=3.14·144

A=452.16

Which expression is equivalent to V8x7y8 ?

Answers

Answer:

the third one

Step-by-step explanation:

the answer is C!
good luck!

Plz Plz plzzzzzz answer​

Answers

Answer:

c i think

Step-by-step explanation:

also i like anime to!

Answer:

c I think I might be wrong tho

Runner A crosses the starting line of a marathon and runs at an average pace of 5.6 miles per hour. Half an hour later, Runner B crosses the starting line and runs at an average rate of 6.4 miles per hour. If the length of the marathon is 26.2 miles, which runner will finish ahead of the other? Explain.



A.
Runner B; Runner B will pass Runner A and finish more than half an hour ahead of Runner A.


B.
Runner B; Runner B will catch up to Runner A 4 hours after Runner A crosses the starting line.


C.
Runner A; Runner B will not be able to catch Runner A in the time it takes Runner A to complete the 26.2 mile course.


D.
Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.

It's on Gradpoint

Answers

Answer:

D. Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.

Step-by-step explanation:

Runner A:

Time it takes for him to finish:

t = 26.2/5.6 = 4.679 hours (to complete race)

.

Runner B:

Time it takes for him to finish:

t = 26.2/6.4 = 4.094 hours

BUT wait, we have to account for the extra .5 hours -- the time it took for him to cross the start line.

t = 4.094 + .5 = 4.594 hours


I really need help with this question thanks

Answers

Answer:

The answer is A

Step-by-step example:

I just took the test and got it right hope this helps you!!!

3/5+1/3= ...............................................................................................................

Answers

Answer:

Step-by-step explanation:

you add two fractions:

3/5+1/3=

find the common denominator = it is 15 (3*5)

9/15+5/15=14/15

In a certain​ chemical, the ratio of zinc to copper is 4 to 11 . A jar of the chemical contains 308 grams of copper. How many grams of zinc does it​ contain?

Answers

Answer: 82.3 g

Step-by-step explanation:Moles Cu = 300 g x 1 mol Cu/63.55 g = 4.72 moles Cu

Moles Zn = 4/15(4.72) = 1.26 moles

mass Zn = 1.26 moles x 65.38 g/mol =

find the smaller number of two consecutive odd numbers such that the sum of the larger numbers and twice the smaller number is 27 less than four times the smaller number​

Answers

Answer: 29

Step-by-step explanation:

Let the smaller number be x

Let the bigger number be x+2

The information given in the question can be represented in a equation as:

x + 2 + 2x = 4x - 27

3x + 2 = 4x - 27

4x - 3x = 27 + 2

x = 29

The smaller number is 29

I need this ASAP please!

Answers

Answer: 2x − 5y / 2x + 5yStep-by-step explanation:

8x^3 − 125y^3/(2x + 5y)3 ÷ 4x^2 + 10xy + 25y^2/4x^2 + 20xy + 25y^2

To divide by a fraction, multiply by its reciprocal.

8x^3 − 125y^3/(2x + 5y)^3  ⋅   4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2

Simplify the numerator.

Rewrite 8x^3 as (2x)^3.

(2x)^3 − 125y^3/(2x + 5y)^3 ⋅   4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2  

Rewrite 125y^3 as (5y)^3.

(2x)^3 − (5y)^3/(2x + 5y)^3  ⋅  4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2

Since both terms are perfect cubes, factor using the difference of cubes formula,

a^3 − b^3 = (a − b) (a^2 + ab + b^2) where a = 2x and b = 5y.

(2x − (5y)) ((2x)^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3   4x + 20xy + 25y^2/ 4x^2 + 10xy + 25y^2

Multiply 5 by −1.

(2x − 5y) ((2x)^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3   ⋅  4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2  

Apply the product rule to 2x.  

(2x − 5y) (22x^2 + 2x (5y) + (5y)^2)/(2x + 5y)3    ⋅  4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y2

Raise 2 to the power of 2.

(2x − 5y) (4x^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3    ⋅   4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2

Rewrite using the commutative property of multiplication.

(2x − 5y) (4x^2 + 2 ⋅ 5xy + (5y)^2)/(2x + 5y)^3      ⋅   4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2

Multiply 2 by 5.

(2x − 5y) (4x^2 + 10xy + (5y)^2)/(2x + 5y)^3  ⋅ 4x^2 + 20xy + 25y^2/ 4x^2 + 10xy + 25y^2

Apply the product rule to 5y.

(2x − 5y) (4x^2 + 10xy + 52y^2)/(2x + 5y)^3    ⋅  4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2

Raise 5 to the power of 2.

(2x − 5y) (4x^2 + 10xy + 25y^2)/(2x + 5y)^3    ⋅  4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2

Cancel the common factor of 4x^2 + 10xy + 25y^2.

((2x − 5y)/(2x + 5y)^3) (4x^2 + 20xy + 25y^2)

Multiply

(2x − 5y) (4x^2 + 20xy + 25y^2)/ (2x + 5y)^3

Factor using the perfect square rule.

Rewrite 4x^2 as (2x)^2.

(2x − 5y) ((2x)^2 + 20xy + 25y^2)/ (2x + 5y)^3

Rewrite 25y^2 as (5y)^2.

(2x − 5y) ((2x)^2 + 20xy + (5y)^2)/ (2x + 5y)^3

Check that the middle term is two times the product of the numbers being squared in the first

term and third term.

20xy = 2 ⋅ (2x) ⋅ (5y)

Rewrite the polynomial.

(2x − 5y) ((2x)2 + 2 ⋅ (2x) ⋅ (5y) + (5y)2)/(2x + 5y)^3

Factor using the perfect square trinomial rule a^2 + 2ab + b^2 = (a + b)^2, where a = 2x and  b = 5y.

(2x − 5y) (2x + 5y)^2/ (2x + 5y)^3

Cancel the common factor of (2x + 5y)^2 and (2x + 5y)^3.

Factor (2x + 5y)^2 out of (2x − 5y) (2x + 5y)^2.

(2x + 5y)^2 (2x − 5y) / (2x + 5y)^3

Cancel the common factors.

 2x − 5y / 2x + 5y

Answer:

This may be wrong but: (2x - 5y) ((2x)^2 + 10xy + (5y)^2) over (2x + 5y) (4x^2 + 10xy + 25y^2)

Step-by-step explanation:

Which of the following explains why space objects are massive in size?

Icy and gaseous material was pushed out by the sun's heat.

Hydrogen atoms fused to form helium due to high pressure.

Large objects clumped together due to gravity to form larger objects.

Large objects were broken apart due to gravity to form fine stellar dust.

Answers

Answer: C) Large objects clumped together due to gravity to form larger objects.

Any mass, no matter how big or small, exerts a force of gravity on other masses. The larger the mass, the more gravitational force is applied. If you had various objects floating in space, then eventually those objects will collide with one another (if they are close enough). Those collisions effectively clump the materials together to form larger masses. Apply this idea multiple times over a very long timespan, and eventually you go from millions of pebbles to larger rock formations to massive asteroids and so on. If you have enough material, then a planet may be formed under the right conditions. This idea applies not just to solid material, but to gasses as well. Planets such as Jupiter is an example of this.

Answer:

Large objects clumped together due to gravity to form larger objects.

Explanation:

All the objects in the universe are subjected to their own force of the gravity and is a fundamental to the study of the force of the universe and help to determine the shape of the planets.The large space object in the solar system is those composed of the large mass that is clustered around by the forces of gravity and held together by the atomic particles.

PLEASE HELP ILL GIVE U BRAINLIEST 5 STARS AND A THANK YOUUUU

Answers

Answer:

i think it’s 3 because 25 x 12 = 3 for percentages

Step-by-step explanation:

i

Answer:

4%

Step-by-step explanation:

There are 25 squares, so out of 100, each shaded square would be 4/100, and then 4/100 is 4%

Second Roll First Roll 1 2 3 4 5 6 1 1-1 1-2 1-3 1-4 1-5 1-6 2 2-1 2-2 2-3 2-4 2-5 2-6 3 3-1 3-2 3-3 3-4 3-5 3-6 4 4-1 4-2 4-3 4-4 4-5 4-6 5 5-1 5-2 5-3 5-4 5-5 5-6 6 6-1 6-2 6-3 6-4 6-5 6-6 Select the favorable outcomes for rolling double sixes. (6-1) (6-5) (6-6) (6-3)

Answers

Answer:

(6 - 6)

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

You drop a ping pong ball into a measuring cup. The water started at 200 mL but after you drop the ping pong ball the water rises to 400mL. What is the volume of the ping pong ball?

Answers

Answer:

200

Step-by-step explanation:

i will give brainiest to whom answers correct and the fastest and a thanks

Answers

Answer:

(D) The bottom graph, and (A) The top table.

Step-by-step explanation:

The easiest way to pick out the wrong answers is simply through substitution. Substitute the input into the x part of the equation that is given and if it doesn't match up with y everytime, then it is incorrect.

From table A (top table), the input x can be substituted into y = x + 2 which will come out as the output so it is correct.

For table A:

x = -3 → y = x + 2 → y = (-3) + 2 → y = -1 = -1

x = -2 → y = x + 2 → y = (-2) + 2 → y = 0 = 0

x = -1 → y = x + 2 → y = (-1) + 2 → y = 1 = 1

x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2

x = 1 → y = x + 2 → y = (1) + 2 → y = 3 = 3

Since the table matches up with the inputs and outputs of the table, it is a correct answer.

For table B:

x = 3 → y = x + 2 → y = (3) + 2 → y = 5 = 5

x = 4 → y = x + 2 → y = (4) + 2 → y = 6 ≠ 7

x = 5 → y = x + 2 → y = (5) + 2 → y = 7 ≠ 9

x = 6 → y = x + 2 → y = (6) + 2 → y = 8 ≠ 11

x = 7 → y = x + 2 → y = (7) + 2 → y = 9 ≠ 13

5 out of the 6 y values of the table do not match the equation, so table B must be incorrect.

Graph C:

Notice how you can see the line cross the x, and y axis. When the line crosses the x axis, it is an x intercept which means y is 0. When the line crosses the y axis, it is a y intercept which means x is 0.

Since the line crosses the y axis at 2, this means that an x of 0 must lead to a y of 2 which it does.

x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2.

But the x intercept doesn't match up as shown here.

y = 0 → y = x + 2 → (0) = x + 2 →

0 – 2 = x + 2 – 2 → -2 = x → x = -2 ≠ -1

When graphing the line y = x + 2, it's x intercept should be (-2,0). While on this graph, it's (-1,0). This means that this graph is incorrect which leads to D being another correct answer.

✓ Table A: y = x + 2

× Table B: y = 2x – 1

× Graph C: y = 2x + 2

✓ Graph D: y = x + 2

Which statement about these triangles is true?​

Answers

The statement that is true is the preimage

What is the slope of the line through

(-8, 10) and (6, 10)?

Answers

Answer:

the slope is 0

Step-by-step explanation:

m=0

Answer:

0

Step-by-step explanation:

y2 - y1/ x2 - x1

10 - 10 = 0

6 - (-8) = 14

0/14 = 0

PLEASE HELP FOR NUMBERS 5 AND 6!! Thank you!

Answers

Answer:

Step-by-step explanation:

5. y=40x

6. y=2.2x

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