Need Help this is my test! I will mark you as brainliest if you answer!!!
The relationship between the number of hours traveled and the number of miles traveled on a
family road trip is graphed below.
750
15. What is the ratio of hours to miles?
675
600
525
16. How many miles could the family travel
in a period of 12 hours?
450
MILES
375
300
17. About how many hours will it take the family
to travel 700 miles?
225
150
75
Maneuvering the Middle LLC, 2015
1
2
8 9
3 4 5 6 7
TIME (HOURS)
Answers
Answer:
15) The ratio of hours to miles is 1 hour to 75 miles; 1/75
16) They will have traveled 900 miles.
17) It will take them around 9 hours.
Step-by-step explanation:
15) Finding the unit rate of the trend (which in this case I considered to be line) can be done by finding the slope and simplifying it. There is a constant linear slope in this graph so it was evident that as the x-values increased by 1, the y-values increased by 75. All you had to do was convert the values into ratio form which would be 1/75. The 1 should remain "numerator" and the 75 as denominator because it is the hour-to-mile ratio (the units were listed in thw instructions in the chronological order in which they were to be answered in ratio form; 1 hour to 75 miles).
16) You can set up an equivalent-ratios equation. Because we know that the unit ratio is 1 hour to 75 miles, and we were given the value of 12 hours, we can set up the equation like this: 1/75=12/x. I would then multiply the 75 miles by 12 so that the ratios will be proportionate. This gives me 900 miles. Now I know, based on the ratio 12 hours to 900 miles (12/900), that if the family travels for 12 hours, they will have traveled 900 miles.
17) We can do the same thing as we did in number 16. We just have to switch the value we use in the second ratio. This means that the equivalent-ratios equation will look like 1/75=x/700, because 700 miles is our given value as opposed to a value with a unit of hours, and miles are the denominators in these ratios. Now we have to see how many times 75 goes into 700 to figure out what to multiply the 1 by to get our proportionate ratios. We have to divide 700 by 75 which is roughly 9 (rounded down from 9.3). The ratio now reads: 1/75=9/700. This means that it will take the family around 9 hours to drive 700 miles (9 hours to 700 miles was the ratio).
Related Questions
(EASY) Which best describes the relationship between the lines?
Answers
X+8=13
That’s my question
Answers
subtract 8 from both sides
x= 5
hope this helps! please mark brainliest
Answer:
x = 5
Step-by-step explanation:
x + 8 = 13
x = 13 - 8
x = 5
Hope this helps :)
r. Powell just started an experiment. She will collect data for 8 days. How many hours is this?
Answers
Answer:
192 hours
Step-by-step explanation:
24 hours = 1 day
8 x 24 = 192
Please help meeeeeee will brainliest
“ Create two whole number division problems that have a quotient of 9 and a remainder of 5. Justify which is greater using decimal division”
Answers
Answer and equation: If we choose two whole numbers; 8 and 10
We want to divide certain numbers by 8 and 10 to get 9 remainder 5.
In this case; 77 divided by 8 is equal to 9 rem 5
and 95 divided by 10 is equal to 9 rem 5
To justify which is greater, we use decimal division;
= 77 divided by 8 we get 9.625 ( 77 ÷ 8 = 9.625)
and
= 95 divided by 10 is equal to 9.5 (95 ÷10 = 9.5)
Therefore; the first case is greater since 9.625 is greater than 9.5
That is; 9 rem 5 got after dividing 77 by 8 is greater than 9 rem 5 got after dividing 95 by 10.
Nadia is a stockbroker. She earns a 12% commission each week. Last week, She sold $7500 worth of stocks. How much did make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?
Answers
Answer:900
Step-by-step explanation:
Three questions Please HELP!
At which point do the equations y=−2x+10 and y=x+4 intersect?(1 point)
(1,6)
(2,6)
(2,5)
(1,5)
2.If the two lines y1=−12x+5 and y2=2x+5 were to be graphed, what would their intersection point represent?
(1 point)
Their intersection point is the only point where different inputs into both functions yield different outputs.
Their intersection point is the only point where the same input into both functions yields different outputs.
Their intersection point is the only point where different inputs into both functions yield the same output.
Their intersection point is the only point where the same input into both functions yields the same output.
3.Given an equation y=−13x+5, explain the steps for using slope-intercept form to graph this equation.(1 point)
Use the y-intercept to plot the point (5,0). Then, using the y-intercept as a reference point, move right 3 units and up 1 unit, and plot a second point.
Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 1 unit and up 3 units, and plot a second point.
Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 3 units and up 1 unit, and plot a second point.
Use the y-intercept to plot the point (5,0). Then, using the y-intercept as a reference point, move left 3 units and up 1 unit, and plot a second point.
Answers
Answer:
2,6
Step-by-step explanation:
Answer:
1. (2,6)
2. C
3. B
Step-by-step explanation:
y = - 2x + 10
y = x + 4
SInce the two equation both equal y, we can said they are equal.
- 2x + 10 = x + 4
- 10 - 10
- 2x = x - 6
- x - x
- 3x = - 6
/-3 /-3
x = 2
Then we plug the x value into the equations and we will get the point that intersects y=-2x+10 and y=x+4.
- 2(2) + 10 = 2 + 4
- 4 + 10 = 6
6 = 6
This is true since both sides are equal.
The point that intersects y=-2x+10 and y=x+4 is (2,6).
2. If the two lines y1=−12x+5 and y2=2x+5 were to be graphed, what would their intersection point represent?
C) Their intersection point is the only point where different inputs into both functions yield the same output.
Ex: y=-2x+10 and y=x+4 both have the same solution which is (2,6).
3. Given an equation y=−13x+5, explain the steps for using slope-intercept form to graph this equation.
y = - 1/3x + 5
y = - 1/3(0) + 5
y = 5
Point: (0,5)
Slope: - 1/3
Rise over run (y/x) so up 3 and left 1.
B) Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 1 unit and up 3 units, and plot a second point.
What are the measures of jK andKIJ?
Measure of jk =
Measure ofKIJ=
116°
70°
ANWSER
JK=104°
KIJ=52
Answers
Answer:
JK=104°
KIJ=52
Step-by-step explanation:
The measures of the arc JK and angle KIJ of the given inscribed triangle are; Arc JK = 104° and ∠KIJ = 52°
What is the measure of the angles?
We have been given the arc KI = 116°, so we can find the angle KJI by intercept property.
Angle KJI = arc KI/ 2
Thus;
Angle KJI = 116°/2
Angle KJI = 58°
Now by angle sum property of a triangle, we get:
∠ K + ∠ I + ∠ J = 180°
70° + ∠I + 58° = 180°
∠I = 52°
By using intercept formula, we get arc KJ;
∠JIK = arc JK/ 2
2(∠ JIK) = arc JK
2(52°) = arc JK
arc JK = 104°
Read more about measure of angles at; https://brainly.com/question/14362353
WILL GIVE BRAINLIEST. It is also worth 34 POINTS!!! PLEASE HELP!!!! Please respond in full sentences. I appreciate your help. Thank you!!
Answers
Answer: 1 orange would be 50 cents.
b) the ordered pairs 12,10 means that there are 12 pounds of oranges and they cost $10 dollars
Step-by-step explanation:
Which equation below matches the relationship shown in the table?
Answers
Answer:
y = 3x + 0.5
Step-by-step explanation:
What's a common denominator for 1/2 and 1/14 SOMEONE PLEASE HELP IM ABOUT TO TAKE A TEST!!!!!!!!!!!
Answers
Answer: common denominator between 2 and 14 is 28 add 14 twice and you’ll get an even number now find out how many times you multiplied by two
Step-by-step explanation:
Answer: a common denominator for 1/2 would be 4 and for 1/14 it would be 28
Step-by-step explanation: to find common denominator you can either multiply or divide, but in this situation since the numerator is one you can only multiply. i chose to multiply them by 2.
1 x 2 = 2 = 2/4
2 x 2 = 4
1 x 2 = 2 = 2/28
14 x 2 = 28
Find the measure of angle A.
Answers
Answer:
60 degrees sorry if its wrong
Step-by-step explanation:
1.) Look at the figure below.
A
+5
3x
B
What is the measure of ZB?
A 35°
B
71°
С
760
D 105°
Answers
Answer:
D
Step-by-step explanation:
What number is 16% of 46
Answers
Answer: 7.36
Step-by-step explanation:
16/100 = 0.16
0.16 * 46 = 7.36
A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (6, -3). What is the vertex of the function defined as
g(x) = f(-x) - 3?
Answers
Answer: (-6, - 6)
Step-by-step explanation:
Here we have two transformations, and the first step will be to explain those transformations:
Reflection over the y-axis.
For a function f(x), the reflection over the y-axis is written as:
g(x) = f(-x)
Then if we initially had a point (x, y), the transformed point will be (-x, y).
Vertical translation.
We can define a vertical translation of N units as:
g(x) = f(x) + N
if N > 0, the translation is up.
If N < 0, the translation is down.
Then if we start with a point (x, y), the transformed point will be (x, y + N)
In the case of this problem we have g(x) = f(-x) - 3
This means that N = -3
Then if we initially had the vertex at the point (6, - 3)
The transformed point will be: changing the sign of the x-component and subtracting 3 in the y-component, then the transformed vertex point is:
(-6, -3 - 3) = (-6, - 6)
The vertex of the resulting parabola will be (-6, -6)
Rule of reflectionGiven the function y= f(x), plotted on a graph and the vertex of the resulting
parabola is (6, -3), if this coordinate is reflected over the y-axis, the reflection rule will be:
[tex](x,y) \rightarrow (-x, y)[/tex]The coordinate (6, -3) under this translation will give (-6, -3)To get the corresponding function [tex]g(x) = f(x) - 3\\[/tex]
[tex]g(x) = [(-6, -3) - 3]\\g(x) = (-6, -3-3)\\g(x) =(-6, -6)[/tex]
Hence the vertex of the resulting parabola will be (-6, -6)
Learn more on reflection here: https://brainly.com/question/14460986
The value of a ratio
Answers
Answer:
Students understand the value of a ratio A: B is A/B. ... If two ratios are equivalent, they have the same value. Grade 6, Module 1, Lesson 8: Classwork. Recall that when given a ratio A: B, where B ≠ 0, we call the quotient, A/B, the value of the ratio.
Step-by-step explanation:
For example, the most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6." Finally, we could write this ratio using a colon between the two numbers, 3:6. Be sure you understand that these are all ways to write the same number.
what is v
v−5/6=−7/8
Answers
Answer:
here,
v-5/6=-7/8
v=-7/8+5/6
v= -1/24
For a specific location in a particularly rainy city, the time a new thunderstorm begins to produce rain (first drop time) is uniformly distributed throughout the day and independent of this first drop time for the surrounding days. Given that it will rain during some period on both of the next two days, what is the probability that the first drop of rain will be felt between 9:15 AM and 2:50 PM on both days
Answers
Answer:
The required probability = 0.0541
Step-by-step explanation:
From the given information:
The probability that it will rain throughout the day is uniformly distributed & independent of the surrounding days.
Assuming that (P₁) represents the probability that it will rain between 9:15 am to 2:50 pm on day 1.
The time interval is 5 hours 35 minutes long.
= 5.583333 hours long
Thus;
P₁ = 5.583333/24
P₁ = 0.2326
Assuming that (P₂) represents the probability that it will rain between 9:15 am to 2:50 pm on day 2.
P₂ = P₁ = 0.2326
Therefore, the total probability = P₂ × P₁ (independent events)
= 0.2326 × 0.2326
= 0.05410276
≅ 0.0541
Jara estimated her new shoes would cost $475. They actually costed $300 actually attended. What is the relative error?
Answers
Answer:
hbrfhjbwfjbrh
Step-by-step explanation:
ewjhfwh
Answer:
b
Step-by-step explanation:
What is the length of the line segments with endpoints (-9,5) and (12,5)
A. 12
B. 9
C. 21
D. 10
Answers
Answer:
The answer is C
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
what is the common ratio for the geometric sequence 32,8,2,1/2?
Answers
The answer you will be dividing by is 4. hope this helps
4. In a normal distribution with u=150, o = 12.5 find P(x < 145).
Answers
Answer:
i know it hard but i know u get there
what will be the value of d when an airplane flies at 420 miles per hour for three hours?
Answers
Answer:
1260 I think
Step-by-step explanation:
because if the airplane is travelling at 420 mph for THREE hours then 420x3=1260
MOVIES Marcus is a member of a theater club. He pays a monthly fee and his movie tickets are then $5 for an unlimited number of movies that month. The graph shows the cost for each month. Find and interpret the rate of change and the initial value.
Answers
Thayne's credit card bill is $766.85. This includes his charges and interest. If the new charges are $559.45 more than the interest, find the amount in charges and the amount in interest.
Answers
Answer: The answer is 207.4 for the interest
Step-by-step explanation:
766.85 - 559.45= 207.4
The answer 207.4 is the amount of interest on Thayne's credit card bill.
How to solveWe can find this answer by subtracting the amount of charges from the total bill amount.
Total bill amount = $766.85
Amount of charges = $1118.9
Amount of interest = $766.85 - $1118.9 = $207.4
Read more about Amount of charges here:
https://brainly.com/question/25922783
#SPJ2
How many degrees of freedom will the error have in a randomized block design with five treatments and three blocks?
a. 2.
b. It will depend on the total sample size.
c.4.
d. 8.
Answers
Answer:
A. 2Step-by-step explanation:
Degree of freedom is expressed according to the formula as shown;
Degree of freedom = Sample size (Treatments) - number of parameters(Block)
Given
Number of treatments = 5
Number of blocks = 3
Degree of freedom = 5 - 3
Degree of freedom = 2
Hence the error will have 2 degrees of freedom in the randomized block design.
what is the percent increase from 3.5 to 3.5
Answers
Answer:
0
Step-by-step explanation:
There is no increase
Answer:
0
Step-by-step explanation:
there is no increase in percent
What would be the correlation between the ages of husbands and wives if men always married woman who were(a) 3 years younger than themselves?(b) 2 years older than themselves?(c) half as old as themselves?
Answers
Answer:
the correct answer is a
The correlation between the ages of husbands and wives if men always married woman who were :
(a) 3 years younger than themselves
Correlation occurs as two variables or factors are related, and therefore the change in one variable affects another. In the situation presented there are 2 variables: According to our constitution, the legal age of men is 21 years and 18 years for women is 18 years.So according to the question the correlation between the ages of husbands and wives if men always married woman who will always be 3 years younger than themselves.Therefore, the correct answer is a.
Learn more :
https://brainly.com/question/25160894?referrer=searchResults
Pls answer I will mark
Answers
Answer:
c. 6x - 4 = 8
Step-by-step explanation:
Santa has many toy to deliver on elm street. If there are 48 kids that live on elm street and 12 of them are boys, what is the ratio of girls to boys ?
Answers
Answer:
36 to 12
Step-by-step explanation:
subtract 12 from 48 an you get 36 girls
WILL GIVE BRAINLEST PLZZZ HELPP MEEEE
Answers
Answer: its C
Step-by-step explanation: