Which of the following is equivalent to 67?

Answer:

he rode the roller coaster 4 times the bumper cars 3 times and the water slide 4 hoped i helped

Step-by-step explanation:

The question is an illustration of a system of simultaneous equation

He rode the roller coaster 5 times; bumper cars 1 time and water slides 4 times.

Let:

[tex]b \to[/tex] bumper cars

[tex]r \to[/tex] roller coaster

[tex]w \to[/tex] water slides

He rode 10 total rides.

So:

[tex]b + r + w = 10[/tex]

The equation for the times he waited is:

[tex]r + \frac{20}{60}b + \frac{15}{60}w = 6\frac{20}{60}[/tex]

Simplify fraction

[tex]r + \frac b3 + \frac w4 = 6\frac 13[/tex]

The proportion of rides is:

[tex]r =b + w[/tex]

Substitute [tex]r =b + w[/tex] in [tex]b + r + w = 10[/tex] and [tex]r + \frac b3 + \frac w4 = 6\frac 13[/tex]

[tex]b + b + w + w = 10[/tex]

[tex]2b + 2w = 10[/tex]

Divide through by 2

[tex]b + w = 5[/tex]

Similarly

[tex]r + \frac b3 + \frac w4 = 6\frac 13[/tex]

[tex]b + w + \frac b3 + \frac w4 = \frac{19}3[/tex]

Multiply through by 12

[tex]12b + 12w + 4b + 3w = 4 \times 19[/tex]

[tex]16b + 15w = 76[/tex]

Make b the subject in [tex]b + w = 5[/tex]

[tex]b = 5 -w[/tex]

Substitute [tex]b = 5 -w \\[/tex] in [tex]16b + 15w = 76[/tex]

[tex]16(5 -w) + 15w = 76[/tex]

[tex]80 -16w + 15w = 76[/tex]

Collect like terms

[tex]-w = 76 - 80[/tex]

[tex]-w = -4[/tex]

[tex]w = 4[/tex]

Recall that:

[tex]b = 5 -w[/tex]

[tex]b = 5 - 1[/tex]

[tex]b =4[/tex]

Recall that:

[tex]r =b + w[/tex]

[tex]r = 1 + 4[/tex]

[tex]r = 5[/tex]

Hence, he rode the roller coaster 5 times; bumper cars 1 time and water slides 4 times.

Read more about simultaneous equations at:

https://brainly.com/question/16763389

Answer:

see explanation

Step-by-step explanation:

The set of the first few prime numbers are

2,  3,  7,  11,  13,  17,  19,  23 ...............

Considering the odd primes, then

24 = 7 + 17

36 = 13 + 23

Answer:

Step-by-step explanation:

3x + 2 = -6x + 10

9x + 2 = 10

9x = 8

x = 8/9

Answer:

see below

Step-by-step explanation:

bh + hr = 25

Factor out an h

h( b+r) = 25

Divide each side by ( b+r)

h( b+r)/( b+r) = 25/( b+r)

h = 25/( b+r)

Now solve for r

bh + hr = 25

Subtract bh from each side

bh -bh+ hr = 25-bh

hr = 25 -bh

Divide by h

hr/h = 25/h -bh/h

r = 25/h -b

Answer:

($21.7 million in '21, $27.4 million in '22, $34 million-plus in '23).

Step-by-step explanation:

Answer:

52/8 meters per second or 6.5 meters per second

If this helped please mark me as the brainliest !

m=52

sec=8

52÷8

=6.5m\s

Step-by-step explanation:

Points are (8,5) and (-12,-9)

The equation of a line passing through two points is given by :

[tex]y-y_1=m(x-x_1)\ \text{m is slope}\\\\y-5=\dfrac{y_2-y_1}{x_2-x_1}(x-8)\\\\y-5=\dfrac{-9-5}{-12-8}\times (x-8)\\\\y-5=\dfrac{7}{10}\times (x-8)\\\\10y-50=7x-56[/tex]

or

[tex]-50+56=7x-10y\\\\7x-10y=6[/tex]

But he writes the equation 7x – 10y = 3 which is not matching with the one we have calculated. It means that model calculated by Devon is not good.

Answer:

If the model is good, then both points will check in the equation. Substituting 8 for x and 5 for y in the equation results in 56 – 50 = 3, which is not true. Therefore, the model is not good. Using (–12, –9) as a check results in –84 + 90 = 3. The constant value in the equation should be 6, not 3. In slope-intercept form, the y-intercept should be –3/5.

Step-by-step explanation:

i got this answer from edg

Answer:

Step-by-step explanation:

Perimeter is

P = 2(l+w), where l= length, w = width

Substitute values to find the value of w:

Then

Dimensions are 14 ft and 30 ft

Answer:

Perimeter is the sum of all sides added together.

Variables:

P=88

L=W+16

W=?

Equation:

88=2*(W+16+W)

Write with units:

L=30 ft.

W= 14ft.

Step-by-step explanation:

88=2*(W+16+W)

divide both sides by 2

44=W+16+W (This is one width and one length)

combine like terms

44=2W+16

subtract 16 from both sides

28=2W

divide both sides by 2

14=W

Your width is 14

Your length is 16 more than your width.

14+16=L

30=L

Answer:

x - 5 = 3x + 1

-6 = 2x

x = -3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

x - 5 = 3x + 1

-6 = 2x

x = -3

The fifth part of 15 is 3.

Here,

We have to find which part of 15 is 3.

What is nth time?

The nth time used when you are starting that something is the last in a long series.

Now,

Since, 15 ÷ 5 = 3

Hence, we can say that the fifth part of 15 is 3.

Learn more about the nth number visit:

https://brainly.com/question/7882626

#SPJ2

Answer: 15 + b

Step-by-step explanation:

15 is being increased by b and b could be any number so the expression will be  15 + b . Increase means is going up so you will be adding b.

Answer:

31

Step-by-step explanation:

Well I'm pretty sure you just do 93 divided by 3 since three people can eat from one pizza

Answer:

32

Step-by-step explanation:  

      x96

1/3          96/3 (32)  

1               96

      x96

Multiply denominator and numerator by 96

Answer: AB = 21

Step-by-step explanation:

Find the value of x by setting them equal to each other

x + 5 = 2x - 11

solve like a normal two step equation

x = 16

Answer:

√87 and √200

Step-by-step explanation: If a square root is not a perfect square, then it is considered an irrational number. These numbers cannot be written as a fraction because the decimal does not end (non-terminating) and does not repeat a pattern (non-repeating).

Answer:Let's simplify step-by-step.

3−5(−3n+5)

Distribute:

=3+(−5)(−3n)+(−5)(5)

=3+15n+−25

Combine Like Terms:

=3+15n+−25

=(15n)+(3+−25)

=15n+−22

Answer:

=15n−22

Step-by-step explanation:  GIVE ME BRAINLIEST PLEASSEEE!!!!!

Answer:

Step-by-step explanation:

surface area of a rectangular prism = 2(LW + WH + LH)

where

L = 4cm

W = 2cm

H = 3cm

plugin values into the formula:

As = 2(4*2 + 2*3 + 4*3)

As = 52 sq. cm

Answer:

A.52 sq. cm

Step-by-step explanation:

Given: l = 4 cm, w = 2 cm, h = 3 cm

Surface area of a rectangular prism

=2(l*w + w*h+h*l)

= 2(4*2 + 2*3 + 3*4)

= 2(8 + 6 + 12)

= 2*26

= 52 sq. cm

Answer:

Step-by-step explanation:

The easiest way to do this is to use the distributive property.

Put the brackets around the terms on the right.

b = (f^2 * A +  2HA)

A is a common factor on the right.

b = A * (f^2 + 2H)

Now divide by f^2 + 2H

b/(f^2 + 2H) = A

Answer:

Each person sold 72/(r+1) tickets

Step-by-step explanation:

Bill  plus his r friends = r+1 people

Divide the number of tickets by the number of people to determine the number of tickets sold per person

Divide the 72 tickets by ( r+1)

Each person sold 72/(r+1) tickets

Answer:

- 1 1/2

Step-by-step explanation:

- 23/6 + 7/3

LCD = 6

- 23/6 + 14/6

(- 23 + 14)/6

- 9/6

- 3/2

- 1 1/2

Answer:

What is  -23/6 - 7/3?

✔ –37/6

Step-by-step explanation:

I got this right on edge 2021

Hope this helps!

:D

Answer:

205m

Step-by-step explanation:    25 x 8.2mps is 205m

25 seconds at 8.2 meters per second

8.2 m/s  x  25 s = 205 m

Answer:

NEGATIVE 12/25

Step-by-step explanation:

To multiply fractions, you have to

1. Simplify to like and lowest terms

2. Multiply the numerators to get the new numerator

3. Multiply the denominators to get the new denominator

2 x (-6) = -12

5 x (-5) = -25

I hope this helps and please give brainliest

Answer:

correct choice is option 3 - figure C.

Step-by-step explanation:

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. This gives you such reflection rule:

From the diagram:

L(3,1), M(4,3), N(5,3) and P(4,1).

Using the reflection rule, you can find coordinates of image points:

L'(1,3), M'(3,4), N'(3,5) and P'(1,4).

As you can see, these are coordinates of vertices of the figure C.

on e2020 its c

give brainliest if this helps please (;

Answer:

Figure C

Thanks for actually attaching a picture, it's helpful!

Answer:

Number 1 Is elsa. Norwegian Fjord horse is for the breed of horse!

Step-by-step explanation:

Answer:

obtuse (anything above 90* is obtuse)

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

-4 - (-9) = 5

4- (-3) = 7