At the given rate, we can say that they will walk 6 laps and run 10 laps for a total of 16 miles.
What is a direct proportional relationship?In a direct proportional relationship, we can say that the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:
y = kx.
For the first question, we have that out of a total distance of 8 miles, and we can see that;
Walk is 3/8 of the distance.
Run is 5/8 of the distance.
Thus, the proportional relationships for the distances are given as follows:
Walked = 3/8 x Total Distance.
Ran = 5/8 x Total Distance.
We are told that the total distance is 16 miles and so;
Walked: 3/8 * 16 = 6 laps
Ran: 5/8 * 16 = 10 laps
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6. Find the quotients.
a. 0.024 ÷ 0.015
b. 0.24 0.015
c. 0.024 ÷ 0.15
d. 24 ÷ 15
Answer:
a. 1.6
b. 16
c. 0.16
d. 1.6
1203 convert binary into decimal
Answer:
decimal: 10010110011
Step-by-step explanation:
Graph the line with 1 passing through the point (3, -4)
Answer:y=1x-7
Step-by-step explanation:
Rectangle A is similar to rectangle B by scale factor r. The length of rectangle A is 1. 5r+2. 25 units. The length of rectangle B is 3 unite. What is the scale factor
The scale factor of the two rectangles is 1.5
Describe the rectangle.According to Euclidean Plane Geometry, a rectangle is a quadrilateral with equal opposed sides and four right angles. In other words, a rectangle is a parallelogram with a right angle of 90 degrees or an equiangular quadrilateral (i.e., 360°/4 = 90°). A rectangle is referred to as a square if its four sides are all the same length.
The ratio of the matching side lengths of two comparable figures is known as the scale factor. We know that the ratio of the respective side lengths of the two rectangles equals equivalent to r since Rectangle A and Rectangle B are similar to one another by the scale factor r.
We can set up the following ratio to determine the scale factor if the lengths of rectangles A and B are 1.5r+2.25 units and 3 units, respectively.
(1.5r+2.25) / 3 = r
Solving for r, we get:
r = (1.5r + 2.25) / 3
multiply both sides of the equation by 3
3r = 1.5r + 2.25
Subtract 1.5r from both sides
1.5r = 2.25
divide both sides by 1.5
r = 2.25/1.5
r = 1.5
Therefore, the scale factor of the two rectangles is 1.5.
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A yearbook page will show 20 photos displayed in rows. Each row must contain the same number of photos. How many different ways can the photos be arranged?
A traditional yearbook should have a few pages for the school's administrators, faculty, and other staff members, class or student portraits, several pages for clubs, teams, or other group photos, a section for special awards & superlatives, event pages typically with a collage of school events, and graduating class.
What pages are in a yearbook?Despite possible differences in size and appearance, school yearbooks all have a similar structure and content makeup. A school yearbook is essentially a "memory book" that emphasizes the pupils, teachers, and activities that took place during the academic year.
Additionally, yearbooks give kids the chance to request the autographs of their friends and professors and give them a place to write personal notes, "inside jokes," and other remarks. Overall, a yearbook gives students a tangible memento of the academic year.
The only thing we are doing is dividing if we require that all of the rows be equal.
20/1= 20
20/2= 10
20/4=5
20/5=4
20/10=2
20/20=1.
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Which of the following is(are) the solution(s) to | 3 x + 10 |= 10 ?
Answer:
x=0, -20/3.
Step-by-step explanation:
abs(3x+10)=10
3x+10=10, 3x+10=-10
3x=10-10, 3x=0, x=0/3, x=0,
3x=-10-10, 3x=-20, x=-20/3
Share $60S in the ratio 4:5:7:
Answer:
15:18.75:26.25
Step-by-step explanation:
4:5:7
Total=16
60/16 = 3.75
4 x 3.75 = 15
5 x 3.75 = 18.75
7 x 3.75 = 26.25
15:18.75:26.25
Answer: $15 : $18.75 : $26.25
Step-by-step explanation:
4 + 5 + 7 = 16
4/16 × $60 = $15
5/16 × $60 = $18.75
7/16 × $60 = $26.25
What is the measure of angle GFH?
Is Y =- 2 vertical or horizontal?
y = − 2 is a horizontal line that crosses the -axis at -2.
Now, According to the question:
Let's know:
What is Horizontal lines?
If we are given the equation of y equal to a number, our graph will be a horizontal line. Is this equation a function? The answer would be yes since it passes the vertical line test. The vertical line test tells us if we draw a vertical line through any point of the graph and it goes through only one point at each line, then it is a function. If it passes through more than one point, it does not. The slope of a horizontal line is zero.
The given equation is Y = -2
y = 2 is a horizontal line that crosses the -axis at 2.
=> y = − 2 is a horizontal line that crosses the -axis at -2.
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Is (-1, 0) a solution to this inequality?
Answer:
False
Step-by-step explanation:
y < -2x -2 Substitute in -1 for x and 0 for y and see if the statement is true.
0 < -2(-1) - 2
0 < 2-2
0 < 0
This is a false statement.
Answer: A / No.
Step-by-step explanation:
We will substitute the point given, (-1, 0) and see if the inequality is true after simplifying.
Given:
y < -2x - 2
Substitue:
0 < -2(-1) - 2
Multiply:
0 < 2 - 2
Subtract:
0 < 0 ✗
0 is not less than 0, so this point is not a solution.
if pam makes 250 dollars from making 15 pots, what is her piece rate?
Pam's piece rate is $16.67 for every pot she produces.
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
Pam's piece rate is the amount of money she earns for each pot she makes. In this case, she earned $250 for making 15 pots, so her piece rate is:
$250 ÷ 15 pots = $16.67 per pot
Therefore, Pam earns $16.67 for each pot she makes. This is a way of calculating her pay based on the number of units she produces, rather than by the hour.
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Find the equation of a line that passes through the points (-1,-5) and (-3,-4). Leave your answer in the form y=mx+c
Answer:
y = -1/2x - 11/2
Step-by-step explanation:
y2 - y1 / x2 - x1
-4 - (-5) / -3 - (-1)
1/ -2
= -1/2
y = -1/2x + b
-5 = -1/2(-1) + b
-5 = 1/2 + b
-11/2 = b
35x+60y>(or equal to)7,000
Solve for x and y
For this question u have to assume value of either x or y
For example
to find the value of x
side calculation (7000/35 = 200)
let x = 200
then 35(200) +60y = 7000
7000 + 60y = 7000
60y = 7000-7000
so y = 0
so value of x should be greater than or equal to 200
x >(or equal to) 200
to find the value of y
side calculation ( 7000/60 = 116.67)
let y = 116.67
then 35x + 60(116.67) = 7000
35x + 7000 = 7000
35x = 7000-7000
35x=0
so x = 0
so the value of y should be greater than or equal to 116.67
y >( or equal to 116.67)
Please Help with this question
A company has designed a new cereal box. This new box has a height of 25 cm, a width
of 2.5 cm, and a length of 12.5 cm. Cardboard used to create these boxes is purchased
from a wholesale supplier at a rate of 0.00016 cents per square centimeter. What is the
cost to produce each box?
Answer:
$0.13 to produce each box.
Step-by-step explanation:
S= ph+2b
p= 12.5+2.5+12.5+2.5=30
h=25
b= 12.5x2.5=31.25
S= (30)(25) +2 (31.25)
S= [tex]812.5cm^{2}[/tex]
812.5 x 0.00016= 0.13
Pllease help with this sheet I'll give brainliest! NO LINKS I will report if so!
Answer: 700
Step-by-step explanation: at the bottom it shows the days and the top it shows how many cookies she ate so if you go up and stop at 7 it will be 700
A 15 m pole is leaning against a wall. The foot of the pole is 10 m from the wall. Find the angle the pole makes with the ground.
Answer:
∅ ≈ 48.2º
Step-by-step explanation:
cos∅ = adj/hyp = 10/15 = 2/3
Therefor
∅ = arccos 2/3
use calculator
∅ = 48.189685104221402
∅ ≈ 48.2º
See image for question. Please show workings.
Answer:
14.3 yearsStep-by-step explanation:
The average age of 18 girls is 12.
Total age of girls:
18*12 = 216The average age of 15 boys is 17
Total age of boys:
15*17 = 255Total age of children:
216 + 255 = 471Total number of children:
18 + 15 = 33Average age of children:
471 / 33 = 14.3 (rounded)Four students are in the final rounds of a chess tournament. Based on their chess rankings, Gloria is twice as likely as Devon to win. Devon is twice as likely as Janet to win. Janet is just as likely as Harry to win. Create a table of fractional probabilities of winning for the four-person sample space.
need pointz
Step-by-step explanation:
Find the circumference of the object. Use 3.14 or 22 for 1. Round to the nearest hundredth, if necessary.
DATE:
1.5 ft
Answer:
9.42 ft
Step-by-step explanation:
We know the diameter is equal to 1.5 ft.
The equation for circumference is [tex]2[/tex]πr.
Let's insert the numbers we already have.
2(3.14)(1.5)
= 9.42 ft
The table below shows the number of animals at a local petting zoo.
Animal
Goats
Number
3
Ponies
3
Rabbits
8
Sheep
6
Write the ratio of ponies to sheep.
You may write the ratio in ANY of the three forms. Remember to REDUCE the ratio, if
possible.
Answer:
1/2
Step-by-step explanation:
You are comparing ponies to sheep, so you put the ponies on top(3)
and the sheep on the bottom(6)
3/6 reduces to 1/2
SHOW WORK PLEASE
This is urgent I need help please please please
Answer:
2.91 units
Step-by-step explanation:
If and only if this is a right triangle, we can apply the some fimctopm to determine the length of side BD:
side BC
tan 20 degrees = ---------------
8
or side BC = 8 tan 20 degrees. Since tan 20 degrees = 0.364 radians,
side BC has length 8(0.364) = 2.91 units
A line passes through the points (-2,8) and (5,-20)
The linear equation that passes through these two points is:
y = -4x
How to find the equation for the line?A general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we know that the line passes through two known points (x₁, y₁) and (x₂, y₂), then we can write the slope as:
a = (y₂ - y₁)/(x₂ - x₁)
Here we know the two points (-2, 8) and (5, -20), so the slope is:
a = (-20 - 8)/(5 + 2) = -28/7 = -4
So the line is:
y = -4*x + b
To find the value of b, we can replace the values of the point (-2, 8), so we will get:
8 = -4*(-2) + b
Now we can solve this for b.
8 = -4*(-2) + b
8 = 4*2 + b
8 = 8 + b
8 - 8 = b
0 = b
Then the linear equation is:
y = -4*x
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A newsletter publisher believes that more than 47% of their readers own a personal computer. Is there sufficient evidence at the 0.05 level to substantiate the publisher's claim?
There is no sufficient evidence at the 0.05 level to substantiate the publisher's claim
How to determine the substantial claim?The parameters for the claim is more than 47% of their readers own a personal computer0.05 level of significanceNote that the significance level, also known as alpha or α, is a measure of the strength of the evidence that must be present in your sample before you will reject the null hypothesis and conclude that the effect is statistically significant
In conclusion, the advertiser failed to reject the null hypotenuse so this would mean there is not sufficient evidence at the 0.02 level of significance to say that the percentage of people who own a Rolls Royce is higher than 47%
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|a-5|, if a>5
Please help me
Answer:
answer is just a-5
Step-by-step explanation:
its is a-5 without absolute value
heeeeeeeeeelp meeeeeee
Answer:
81
Step-by-step explanation:
Find out the percentage of people who had mispriced item.
3/50 = 0.06
6% of people had mispriced items.
Find 6% of 1,350.
81
81 people would have mispriced items.
Answer:
81
Step-by-step explanation:
I did this by doing 1,350 ÷ 50, which gave me 27. I then did 27 times 3, the average amount of people with a mispriced item per 50 people, which gave me 81 as a result. And with that, I can conclude that you would expect there to be 81 people per day who have a mispriced item.
Olivia tries to cut a piece of metal 45 inches long the piece of metal ends up being 43. 5 inches long what is the approximate orecent error in this situation
When Olivia tries to cut a piece of metal 45 inches long, the piece of metal ends up being 43.5 inches long, then there is an approximate percent error of 3.33% in this situation.
Therefore the answer is 3.33%.
To calculate the approximate percent error in this situation, we can use the formula:
Percent Error = (|Experimental Value - Theoretical Value| / Theoretical Value) x 100
In this case, the experimental value is 43.5 inches and the theoretical value is 45 inches. Plugging these values into the formula, we get:
Percent Error = (|43.5 - 45| / 45) x 100
= (1.5 / 45) x 100
= 0.033 x 100
= 3.33%
So the approximate percent error in this situation is 3.33%.
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7.) On Monday the rate for a hotel suite is $299.00 a night plus 6% tax. That same room rents for $349.00 plus 6% tax on a Friday. What is the difference in costs including tax between the two nights?
Answer:
The difference in costs including tax between the two nights is $53
Step-by-step explanation:
To find the cost of the hotel suite on Monday including tax, we first calculate the amount of tax by multiplying the room rate by 6% (0.06):
$299.00 * 0.06 = $17.94
So the total cost of the room on Monday including tax is:
$299.00 + $17.94 = $316.94
Next we find the cost of the hotel suite on Friday including tax:
$349.00 * 0.06 = $20.94
So the total cost of the room on Friday including tax is:
$349.00 + $20.94 = $369.94
Finally, to find the difference in costs between the two nights, we subtract the cost of the room on Monday including tax from the cost of the room on Friday including tax:
$369.94 - $316.94 = $53
The difference in costs including tax between the two nights is $53.
Answer:
The difference in costs including tax between the two nights is $53--------------------------------
The cost x including a 6% tax is:
x + 6% =x + 0.06x = 1.06xThe difference in costs including tax is:
349*1.06 - 299*1.06 = (349 - 299)*1.06 = 50*1.06 = 5311,778 divide 26
Show work pls
Answer:
453
Step-by-step explanation:
To perform long division of 11,778 by 26, we follow these steps:
452
_____
26 ) 11,778
-104
------
157
156
----
21
Therefore, 11,778 divided by 26 is equal to 452 with a remainder of 21.
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Which segment is the shortest?
the smallest angle will yield the shortest opposite side, likewise the largest angle will yield the largest side, Check the picture below.