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leva [86]
2 years ago
11

Jenny walked 2.5 miles in 50 minutes. At this rate, how many minutes did it take her to walk 1 mile.

Mathematics
2 answers:
zhenek [66]2 years ago
6 0
This is a proportion problem. 2.5 miles is to 50 minutes as 1 mile is to x.

x= # minutes to walk 1 mile

2.5 miles/50 min= 1 mile/ x

cross multiply
(2.5 * x) = (50 * 1)
2.5x=50

divide both sides by 2.5
20= x

She can walk 1 mile in 20 minutes so B) 20m is the answer.

Hope this helps! :)
Aneli [31]2 years ago
4 0
Find the unit rate for miles by dividing the time by the miles.

50 / 2.5 = 20

So it takes 20 minutes for her to walk 1 mile.
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Consider circle O below. The length of arc BA is 8.4 cm and the length of the radius is 8 cm. The measure of angle AOC is 45°. C
denis23 [38]

Answer:

i) 60°

ii) 14.7 cm

Step-by-step explanation:

length of Arc BA = 8.4 cm

length of radius = 8 cm

angle AOC = 45°

BO = AO = CO = 8 cm

<u>i) What is the measure of Angle BOA </u>

= length of Arc BA  / Radius

= 8.4 / 8  = 1.05 radians = 60.16° ≈ 60°

<u>ii) what is the length of arc BAC</u>

= radius * angle BAC  * \pi /180

angle BAC = angle AOC + angle BOA

                  = 45° + 60° = 105°

hence length of arc BAC

= 8 * 105 * \pi /180

≈ 14.7 cm

3 0
2 years ago
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The scatter plot shows the number of text messages sent per day versus age (in years) of the smartphone user.
Ghella [55]

Answer: find the answers in the explanation.

Step-by-step explanation:

Given that the predicted Number of Text Messages Sent = 60 – 0.8 • Age

Where the slope = - 0.8

The intercept = 60

1) the slope of the least regression line is -0.8

2.) The unit of the slope of the line is text per year

3.) Therefore, the slope of the line tells you that for every year older the smart phone user is, you can expect a typical average in text messages sent of - 0.8

4.) The y - intercept of the least square regression line is 60

5.) The unit of the y - intercept of the line are text sent

6.) The y - intercept of the line tells you the starting point. The first number of text messages sent.

4 0
2 years ago
Calculate the expected gain or loss for Stock ABC. Lose $25 Gain $5 Gain $45 Stock ABC 40% | 15% | 45% Stock JKL| 15% | 65% | 20
Rainbow [258]

Answer:

$11

Step-by-step explanation:

\left\begin{array}{c|ccc}&$Lose \$25&$Gain \$5&$Gain \$45\\$Stock ABC&40\%&15\%&45\%\end{array}\right

We want to calculate the expected gain or loss of Stock ABC with the probabilities above.

Note that loss is written in negative.

E$xpected Value =$ (-25  \times 40\%)+(5  \times 15\%) + (45  \times  45\%)\\=(-25 \times 0.4)+(5 \times 0.15)+(45 \times 0.45)\\=-10+0.75+20.25\\=\$11

Stock ABC has an expected gain of $11.

8 0
2 years ago
At a particular restaurant, each mini hotdog has 80 calories and each pizza roll has 50 calories. A combination meal with mini h
cestrela7 [59]

There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.

Step-by-step explanation:

Given,

Calories in each hotdog = 80 calories

Calories in each mini pizza = 50 calories

Combined meal = 20

Combined calories = 1450 calories

Let,

x represent the number of hot dogs.

y represent the number of mini pizzas.

According to given statement;

x+y=20     Eqn 1

80x+50y=1450    Eqn 2

Multiplying Eqn 1 by 80

80(x+y=20)\\80x+80y=1600\ \ \ Eqn\ 3

Subtracting Eqn 2 from Eqn 3

(80x+80y)-(80x+50y)=1600-1450\\80x+80y-80x-50y=150\\30y=150

Dividing both sides by 30

\frac{30y}{30}=\frac{150}{30}\\y=5

Putting y=5 in Eqn 1

x+5=20\\x=20-5\\x=15

There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/10546617
  • brainly.com/question/10552347

#LearnwithBrainly

7 0
2 years ago
In a statewide soccer competition, 36 games were played. Each team participating in the competition played once with every other
Tomtit [17]

Answer:

9 teams

Step-by-step explanation:

If the total games played was 36 and no team played each other twice, we need to ensure there isn't any double counting.

36 = (n-1) + (n-2) + (n-3) ... + (n-(n-1))

using this knowledge, we can then count up:

1+2+3+4+5+6+7+8 = 36

If our highest number is 8, then we know there must be 9 teams, because no team can play themselves.

8 0
2 years ago
Read 2 more answers
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