A bowling alley charges its customers an hourly rate to bowl plus shoe rental. The hourly rates are per lane.

A linear model of this situation contains the values (2, 41) and (3, 59.25), where x represents the number of hours bowled on one lane, and y represents the total cost for bowling.

What is the rate of change in this linear model?

Answer:

The algebraic expression for the nth term in this pattern is n^2 + 3n

Step-by-step explanation:

We want an algebraic expression for the nth term in this pattern.

Like we are told, there must be an expression that includes the term n^2

So therefore;

We need to express each of the terms to include the n^2 term

Kindly note that the n notation will represent the term number of the value we are considering. Let’s take it one after the other.

for 4; 1^2 + 3(1)

For 10; 2^2 + 3(2)

For 18; 3^3 + 3(3)

For 28; 4^2 + 3(4)

For 50; 5^2 + 3(5)

So the nth term will be;

n^2 + 3n

Answer: 10

Step-by-step explanation: 25% is 0.25 and 40x0.25 is 10

Answer:

52 pounds in kilograms is 23.5868

Answer:

x=24

Step-by-step explanation:

0.6x - 5 = 0.1x + 7

add 5 to both sides:

0.6x = 0.1x + 12

take away 0.1x from both sides:

0.5x = 12

divide both sides by 0.5

x = 12÷0.5

x=24

hope this helps

brainliest plz?

x

Answer:

volume = about 117.81 feet^3

density = 0.763942 lb/ft^3

Step-by-step explanation:

this is if the piece of pine is cylindrical

Answer:

2/5 8/20 4/10 and 16/40

Step-by-step explanation:

Answer:

2,3,4,5

Step-by-step explanation:

i got it right on edg

Answer:

the equation is c×p

and the admission for 19 people is 760

Answer:

A. Both triangles contain right angles and a corresponding angle of equal measure. Thus, two angles of the large triangle are equal in measure to two angles of the small triangle

x = 3 m

Step-by-step explanation:

The figure given shows two right angles triangles having corresponding angles that are congruent and of the same measure.

If we find the ratios of their given corresponding side lengths, their ratios would be the same.

Thus: ratio of the side of the smaller ∆ to the larger ∆ = 4:8 = 5:10 = 4/8 = 5/10 = ½

½ is the scale factor. Therefore, both triangles are similar.

To find x, multiply the corresponding side length of the other triangle by the scale factor.

x corresponds to side length that is 6 m in the other triangle.

Therefore,

x = 6*½ = 3 m

The value of 'x' in the smaller triangle is 2 and both the triangles are similar because triangles contain right angles and a corresponding angle of equal measure. Therefore, two angles of the large triangle are equal in measure to two angles of the small triangle.

Given :

Two triangles are given in the figure.

The Pythagorean theorem can be used in order to determine the value of 'x' in the smaller triangle.

[tex]5^2=4^2+x^2[/tex]

[tex]x^2= 25-16[/tex]

x = 3

According to the given figure of the triangles, both triangles contain right angles and a corresponding angle of equal measure. Therefore, two angles of the large triangle are equal in measure to two angles of the small triangle. Hence both the triangles are similar.

Therefore, the correct option is A).

For more information, refer to the link given below:

https://brainly.com/question/10652623

Answer:

7/16 of a yard

Step-by-step explanation:

Let's put the boards to the same denominator so it's easier.

Let's go with a denominator of 16

1/4= 4/16

7/8= 14/16

3/16 stays the same.

So, 4/16+3/16+x=14/16

7/16+x=14/16

x=7/16 of a yard, the length of the 3rd board.

Answer:

P(Take the bus|Junior)=0.57

Step-by-step explanation:

Conditional Probability

Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event B has occurred, then the probability that event A occurs is given by:

[tex]{\displaystyle P(A\mid B)={\frac {P(A\cap B)}{P(B)}}}[/tex]

Where [tex]P(A\cap B)[/tex] is the probability that both events occur and P(B) is the probability that B occurs.

The two-way table shows statistics of students and we are interested to find the probability that, given the student is a junior (let's call it event B), they also take the bus (Event A). Thus, the probability we need to calculate is:

[tex]\displaystyle P(A\mid B)={\frac {P(A\cap B)}{P(B)}}[/tex]

Checking on the table, we can see that both events occur when the row and the column of both events coincide, i.e. 20 students out of a total of 100 students in total. Thus:

[tex]\displaystyle P(A\cap B)=\frac {20}{100}=0.2[/tex]

The probability that a student is classified as Junior is

[tex]\displaystyle P(B)=\frac {35}{100}=0.35[/tex]

The conditional probability is:

[tex]\displaystyle P(A\mid B)=\frac {0.2}{0.35}=0.5714[/tex]

P(Take the bus|Junior)=0.57

By using the principles of fractions, we can find out that the models represent the problem 3/4 × 3.

A number that represents a percentage of a whole serves as the mathematical representation of a fraction. Fractions can be thought of as any number, any amount, or a portion of an object.

A pizza that has been cut into eight equal pieces. The notation 1/8, which denotes that we are speaking of one portion out of 8 equally sized portions, can be used to refer to a single portion of the pizza.

It indicates one equal part in eight. Furthermore, it can be written as: 1/8

It will be written as 2/8 if we choose to have 2 portions of the pizza. Similar to how we would write 6/8 as a fraction if we were referring to 6 portions of this pizza.

Now here in the question, 3 parts are selected out of 4.

So that suggests it is 3/4.

As there are 3 circular models, so the representation will be as:

3/4 × 3.

To know more about fractions, visit:

https://brainly.com/question/10354322

#SPJ1

Answer:

455

Step-by-step explanation:

if the number is 146, then this answer is right.

(3×146) +17 = 455

Answer: 15

Step-by-step explanation:

1+1

2+2

3+3

4+4

Answer:

0.0001

Step-by-step explanation:

10^-4 = 0.0001

Answer:

4.5inches

Step-by-step explanation:

Given the volume of a prism expressed as:

V =lwh where:

l is the length

w is the width,

h is the height of the prism.

Given

V = 138.24in³

h = 9.6in

l = 3.2in

w = ?

Substitute the given values into the formula to get the width

138.24 =  9.6*3.2*w

138.24 = 30.72w

w = 138.24/30.72

w = 4.5in

Hence the width of the rectangular prism is 4.5inches

The width of the rectangular pyramid that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches is 4.5 inches.

where

l = length

w = width

h = height

v = 138.24 inches³

h = 9.6 inches

l = 3.2 inches

w  = ?

138.24 = 9.6 × 3.2 × w

138.24 = 30.72w

w = 138.24 / 30.72

w = 4.5 inches

learn more on volume of a rectangular pyramid here: https://brainly.com/question/13410734?referrer=searchResults

Answer:

(-7, 5)

Step-by-step explanation:

Since both of them are equal to y, you could just set them equal to each other.

5/7x + 4 = -1/7x - 2

6/7x = -6

x = -7

Now just plug x back to one of the equations:

y = -1/7*(-7) - 2 = 7 - 2 = 5

Therefore, the solution to the system is (-7, 5)

Answer:

c

Step-by-step explanation:

4/3

3/5

keep change fli[

20/9=2 2/9

Answer:2.7 - 1.50 = 1.2(2-1)

Answer:

129.6 is the answer

Step-by-step explanation:

1 Expand.

8x-6-8=4+2x8x−6−8=4+2x

2 Simplify  8x-6-88x−6−8  to  8x-148x−14.

8x-14=4+2x8x−14=4+2x

3 Add 1414 to both sides.

8x=4+2x+148x=4+2x+14

4 Simplify  4+2x+144+2x+14  to  2x+182x+18.

8x=2x+188x=2x+18

5 Subtract 2x2x from both sides.

8x-2x=188x−2x=18

6 Simplify  8x-2x8x−2x  to  6x6x.

6x=186x=18

7 Divide both sides by 66.

x=\frac{18}{6}x=

​6

​

​18

​​

8 Simplify  \frac{18}{6}

​6

​

​18

​​   to  33.

x=3x=3

Done Hope this helps let me know if u have any questions thank you

Answer:

it is called a decimal system

Step-by-step explanation:

.

Answer:

Decimal system

Answer:

D.) SSS

Step-by-step explanation:

Considering the proof tells us that many sides seem congruent to each other, I am led to believe these triangles are congruent due to SSS.

Answer:

8000309

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

2015: 9 games won

2014: 1 game won

rate of change = 2015 games won - 2014 games won

rate of change = 9 - 1

rate of change = 8

Answer:

250.711

Step-by-step explanation:

You just multiply my dude.