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HACTEHA [7]
2 years ago
12

Tina is playing a computer game. She starts with 100 points, and she loses points based on the following rules: • Each time a pl

ayer passes a level, 8 points are lost. • Each time a player catches a flower, 3 points are lost. Suppose Tina catches 6 flowers per level, on average. Solve an inequality to determine the number of levels she must complete to have fewer than 20 points left.
Mathematics
2 answers:
Natasha_Volkova [10]2 years ago
8 0

Answer: she must complete 4 levels to have a point fewer than 20

Step-by-step explanation:

Given the following :

Starting point = 100 points

Passing a level = - 8 points

Catching a flower = - 3 points

Suppose Tina catches 6 flowers per level

Number of levels she must complete to have fewer Than 20 points

Total number of points lost per level:

Catching 6 flowers = -(6 × 3)

Passing the level = - 8

= - 18 + - 8 = - 26 points

Number of levels she must complete to have < 20

Let number of levels = y

Starting points - (26 × number of levels) < 20

100 - (26y) < 20

100 - 26y < 20

-26y < 20 - 100

-26y < - 80

y > 80/26

y > 3.07

Hence she must complete 4 levels to have a point fewer than 20

yarga [219]2 years ago
8 0

Answer:

Tina must complete 4 levels

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ArbitrLikvidat [17]

Answer:

Part 1) Option A. f of x equals one half times x plus 16

Part 2) Option  A. x = 5

Part 3) Option C. x − 4y = −9

Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.

Step-by-step explanation:

Part 1)

Let

x -----> the number of months

y ----> vertical jump in inches

step 1

Find the slope

we have the points

(0,16) and (2,17)

m=(17-16)/(2-0)=\frac{1}{2}

The equation of the line in slope intercept form is

y=mx+b

we have

m=\frac{1}{2}

b=16 -----> the point (0,16) is the y-intercept

substitute

y=\frac{1}{2}x+16

convert to function notation

f(x)=y

f(x)=\frac{1}{2}x+16

Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?

step 1

Find the slope

we have the points

(5, 0) and (5, −2)

m=(-2-0)/(5-5)=\frac{-2}{0}

the slope is undefined

This is a vertical line (parallel to the y-axis)

therefore

The equation is

x=5

Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)

step 1

Find the slope

we have the points

(−1, 2) and (3, 1)

m=(1-2)/(3+1)=-\frac{1}{4}  

step 2

Find the equation of the line into point slope form

y-y1=m(x-x1)

we have

m=-\frac{1}{4}

point\ (3, 1)

substitute

y-1=-\frac{1}{4}(x-5)

Convert to standard form

Multiply by 4 both sides to remove the fraction

4y-4=-(x-5)

4y-4=-x+5

x-4y=-4-5

x-4y=-9

Part 4) Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario

we know that

The <u>independent variable</u> is the variable whose change isn’t affected by any other variable (An example the age and time)

The <u>dependent variable</u> it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))

Let

x ----> the number of rides

y ----> the total cost in dollars

In this problem

The independent variable or input is the number of rides

The dependent variable or output is the total cost

5 0
2 years ago
In 2.5 hours, Mr. Castelli drives a distance of 125 miles. He wants to know his average driving speed in meters per minute. Comp
xeze [42]
Okay. So we'll start off by talking about miles per hour. Me. Castelli drove 125 miles in 2.5 hours. Divide 125 and 2.5 hours and you see that he drove 50 miles (81 kilometers) in one hour. 1,000 meters are in 1 meter, and 1,000 * 81 = 81,000. So he drives 81,000 meters in 1 hour. To find meters per minute, you divide 81,000 by 60, and you'll get 1,350 meters per minute. Here it is written for you to understand it better:
Miles per hour: 50
Kilometers per hour: 81
Meters per hour: 81,000
Meters per minute: 1,350
3 0
2 years ago
There are five sales agents in a certain real estate office. One month Andy sold twice as many properties as Ellen, Bob sold 3 m
Novosadov [1.4K]

Answer:

Carry

Step-by-step explanation:

Here let’s take any arbitrary value for the number of properties sold by Ellen.

Let the number of properties sold by Ellen he 10. We were told Andy sold twice of this, this means he sold 20 properties

Bob sold 3 more than Ellen, meaning he sold 13.

Carry sold twice of Bob meaning he sold 26

Dora sold the addition of Bob and Ellen = 13 + 10 = 23

Carry sold 26 and this makes him the highest seller.

7 0
2 years ago
Player V and Player M have competed against each other many times. Historical data show that each player is equally likely to wi
Helen [10]

Answer:

0.46 (46%)

Step-by-step explanation:

We have the following data:

- Probability that player V wins the first set:

p(1)=0.50

(because the text says the two players are equally likely to win the first set)

- Probability that player V wins the 2nd set if he has won the 1st set:

p(2|1)=0.60

So, the probability that player V wins the first 2 sets is:

p(12)=p(1)\cdot p(2|1)=(0.50)(0.60)=0.30 (1)

Instead, the probability that player V loses the 2nd set if he has won the 1st set is 0.40 (=1-0.60), so

p(2^c|1)=0.40

So, the probabiity that player V winse the 1st set but loses the 2nd set is

p(12^c)=p(1)\cdot p(2^c|1)=(0.50)(0.40)=0.20 (2)

Also, we have:

- Probability that player V loses the 1st set:

p(1^c)=0.50

- Probability that she will lose the 2nd set in this case is 0.70, it means that the probability that she will win the 2nd set if she lost the 1st set is 0.30, so:

p(2|1^c)=0.30

So, the probability that she will lose the 1st set and win the 2nd set is:

p(1^c2)=p(1^c)\cdot p(2|1^c)=(0.50)(0.30)=0.15 (3)

Combined together (2) and (3), this means that the probability that player V wins exactly 1 set out of the first two sets is:

p(1/2)=p(12^c)+p(1^c2)=0.20+0.15=0.35 (4)

At this point, the probability that she will win the 3rd set is

p(3)=0.45

This means that the overall probability that she will win the 3rd set if she won exacty 1 of the first 2 sets is:

p(1/2,3) = p(1/2)\cdot p(3)=(0.35)(0.45)=0.16 (5)

So, the overall probability that player V will win a match against player M is the sum of (1) and (5):

p(W)=p(12)+p(1/2,3)=0.30+0.16=0.46

5 0
2 years ago
A plane intersects the center of a sphere with a volume of about 113.1 m3. What is the area of the cross section? Round to the n
ivolga24 [154]

Answer:

Step-by-step explanation:

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5 0
2 years ago
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