The graph shows the distances traveled by two hikers over several hours.
A graph measuring distance and time. Two lines, labeled Hiker A and Hiker B, exit the origin to show that distance increases as time increases
Which hiker is moving at a faster rate?
Select from the drop-down menu to correctly complete the statement.
Hiker is moving at a faster rate.
Answers
Answer:
Hiker A is moving at a faster rate.
Step-by-step explanation:
When two lines are being compared, the one that moves faster is the one with the higher slope. Looking at these two graphs, we see that the graph of Hiker A has a higher slope; therefore Hiker A is moving faster.
Using the information depicted on the graph, the speed of the hikers is given by the slope of the graph. Hence, Hiker A is moving at a faster rate.
The steepness of the slope of a linear graph can be used to measure the rate of change.
Steeper slope means a higher rate of change. Since, Hiker A has a steeper slope, then he is moving at a faster rate.
Therefore, the hiker moving at a faster rate is hiker A.
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Related Questions
what is the answer to y−(−10)=−41
Answers
y + 10 = -41
Now, you would isolate the y. To do this, you would combine like terms.
y = -51
I hope this helps!
Ted Thomason found a good deal when he purchased a bedding set. He paid the store's clerk two $20 bills and a $5 bill. The clerk gave him $2.65 in change. If the sales tax is 7.2%, what was the selling price of the bedding set before taxes?
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If one side of a square is 8 inches, what is the perimeter of the square?
Answers
because A square has all equal side, so on all 4 sides, it is 8 inches
So then you add them all up
8+8+8+8
which gives you 32
at the soda shop they sold forty eight hotdogs on monday and eighty on tuesday. how many times as many did they sell in monday than they sold on tueday?
Answers
The average weight of an almond is 1,200 milligrams. You buy 65 almonds at the price of $0.10 per gram. How much do you pay for the almonds?
Answers
78*0.10=7.8
You pay $7.8 for the 65 almonds
Final answer:
To find the total cost for 65 almonds at $0.10 per gram, multiply the weight of one almond (1.2 grams) by the number of almonds (65), then multiply the total weight by the price per gram. The total cost is $7.80.
Explanation:
To calculate the total cost of 65 almonds when the average weight of an almond is 1,200 milligrams and the price is $0.10 per gram, we will first need to determine the total weight of the almonds in grams and then multiply by the price per gram.
Convert the average weight of one almond to grams: 1,200 milligrams = 1.2 grams (since 1,000 milligrams = 1 gram).
Multiply the weight of one almond by the number of almonds: 1.2 grams/almond × 65 almonds = 78 grams.
Calculate the total cost by multiplying the total weight by the price per gram: 78 grams × $0.10/gram = $7.80.
Therefore, you would pay $7.80 for 65 almonds.
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.
Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p + m∠o = 180 degrees (adjacent supplementary angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠n + m∠p
Step 4: So, m∠m + m∠n = m∠p
In which step did the student first make a mistake and how can it be corrected?
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
Step 3; it should be m∠m + m∠n + m∠o = m∠o + m∠p
Step 2; it should be m∠o − m∠p = 90 degrees (complementary angles)
PLEASE HELP!!!
Answers
Answer:
its step 3
Step-by-step explanation:
i just took the test.
A student drops some metal paper clips in a box of sand. The student use a magnet to separate the metal paper clips from the sand. The reason this works is that the sand and paper clips together are
A) a mixture
B) an element
C) a compound
D) a substance
Answers
Answer:
The answer is mixture.
Step-by-step explanation:
A mixture is a material that consists of two or more different physically combined substances; in this scenario the things are paper clips and sand.
Here, the student uses a magnet to separate the metal paper clips from the sand. So, here sand and paper clips together are a mixture.
The Outdoors Club members are planning some activities to do on a sunny autumn Saturday. One half of the members are going hiking. One fourth of the members are bike riding. One eighth of the members are rock climbing. Nine of the members are walking their dogs. How many Outdoor Club members are doing an activity on Saturday?
Answers
1/8 is 9 members
9 x 8 = 72
Answer:
72
Step-by-step explanation:
Lets say total number of Outdoor club member = [tex]x[/tex]
Members going for hiking = [tex]\frac{x}{2}[/tex]
Members going for bike riding = [tex]\frac{x}{4}[/tex]
Members going for rock climbing = [tex]\frac{x}{8}[/tex]
Member going for walking their dogs = 9
Thus,
[tex]x=\frac{x}{2}+\frac{x}{4}+\frac{x}{8}+9[/tex]
[tex]x-\frac{x}{2}-\frac{x}{4}-\frac{x}{8} = 9[/tex]
[tex]\frac{8x-4x-2x-x}{8}=9[/tex]
[tex]\frac{x}{8}=9[/tex]
[tex]x=72[/tex]
72 Outdoor Club members are doing an activity on Saturday.
Sue has $4, Tom has $11, Brian has $6, and Anita has $9. Use mental math to find how much money they have altogether. Show your work.
Answers
So to make it easier, I would first add together 4 and 6, and 11 and 9.
4 and 6 added together is 10
11 and 9 added together is 20
So, just 20 + 10, or 30.
Two bicyclists are 180 miles apart when they start racing towards each other. If their speeds are 14 mph and 16 mph respectively, how long will it be before they are twenty miles apart?
Answers
14 + 16 = 30 m in one hour.
(because they're both moving towards each other, so for the amount they get closer to each other, you want to add both of their speeds)
Since they were originally 180 miles apart, and you want to find how long it would take for them to be 20 miles apart, you want to just subtract 20 from 180 to find the total distance they have to travel.
180 - 20 = 160
Now divide 160 by 30 to find out how many sets of 30 miles, or one hour time periods, there are in 160 miles.
160 / 30 = 16/3 hours.
To make this into minutes, you can just multiply by 60.
16/3 * 60 = 960/3
960/3 = 320
So it'll be 320 minutes before they are 20 miles apart.
5.3 hours, or 319.999 or 320 minutes
Explanation:
If the bicyclists are 20 miles apart, they have travelled 160 miles in total because:
180 - 20 = 160
Make an equation for the bicyclists traveling 160 miles total:
14x + 16x = 160
Solve for x:
14x + 16x = 160
30x = 160
30x ÷ 30 = 160 ÷ 30
x = 5.3
So after 5.3 hours, both bicyclists have traveled 160 miles, and are 20 miles apart.
5.3 hours in minutes is
60 • 5.3 = 319.99 or 320 minutes.
is 5.871 greater than or equal to 5.781
Answers
Multiply. (75)(−54) Enter your answer as an improper fraction, in simplified form, in the box.
Answers
what is the opposite of zero on a number line
Answers
Two opposite numbers are the same distance from zero on the number line. For example, 3 and -3 are opposites. .
Can anyone help me with this question? If you can explain, please do so!
Answers
Solve what is in the parenthesis first. To do this, multiply everything in the parenthesis by 3.
6s + 12 = 6s + 24
Subtract 12 from both sides.
6s = 6s + 12
Subtract 6s from both sides.
0 = 12
This means there is not solution.
Something that helped you get to this answer was by combining like terms.
Hope this helps!
y+7=9/10(x+3) in standard form
Answers
hope that helped!
The equation y + 7 = 9/10(x + 3) is converted into standard form by distributing, isolating y, eliminating fractions, and rearranging terms, resulting in the standard form 9x - 10y = 43.
The equation y + 7 = 9/10(x + 3) needs to be converted into standard form. The standard form of a linear equation is Ax + By = C where A, B, and C are integers, and A should be non-negative.
To put the given equation into standard form, we need to distribute the 9/10 across the (x + 3) and then isolate y on one side:
y + 7 = (9/10)x + (9/10)x3
Step 1: Multiply 9/10 by each term in the parentheses.
y + 7 = (9/10)x + 27/10
Step 2: Subtract 7 from both sides to isolate the y term.
y = (9/10)x + 27/10 - 70/10
y = (9/10)x - 43/10
Step 3: To get rid of the fraction, multiply the entire equation by 10.
10y = 9x - 43
Step 4: Finally, to put this into standard form, we need to move the x term to the left side of the equation.
-9x + 10y = -43
Here, our standard form would be 9x - 10y = 43, as we usually do not want a negative A term in standard form.
Edward jogs 34 of a mile around a park. Edward jogged around the trail 2 times in 1 hour. What is Edward's speed in miles per hour?
Answers
Write 6 27/100 as a decimal
Answers
Choose the correct simplification of the expression (7ab3)2.
Answers
= 49a^2b^6
hope it helps
Answer:
[tex]49a^2b^6[/tex]
Step-by-step explanation:
The given expression is:
[tex](7ab^3)^2[/tex]
Now, squaring the above expression, we get
=[tex](7)^2(a)^2(b^3)^2[/tex]
=[tex]49(a^2b^6)[/tex]
=[tex]49a^2b^6[/tex]
which is the required simplification of the given expression.
Thus, the correct simplification of the expression [tex](7ab^3)^2[/tex] is [tex]49a^2b^6[/tex].
Which describes the slope of this line?
A.
negative slope
B.
zero slope
C.
positive slope
D.
undefined slope
Answers
Mrs. Kuss is playing a crazy game of Monopoly with her son Ethan. In order to land on Boardwalk she will need double sixes. What is the probability as a percent that she will roll two sixes?
Answers
. Rotate 270 clockwise around the origin, and then translate 2 units up. (2, 10) (9, 5) (12, 2) (12, 10)
Answers
The figure below shows parallel lines cut by a transversal: A pair of parallel lines is shown, cut by a transversal. Angle 3 is located in the upper right exterior corner on the top line, and angle 4 is located in the lower left exterior corner of the bottom line. Which statement is true about ∠3 and ∠4?
Answers
Answer:
∠3 and ∠4 are congruent because they are a pair of alternate exterior angles.
Step-by-step explanation:
Answer: Choice number 1
Step-by-step explanation:
The first choice because they are on opposite sides of the transversal Therefore they are alternate exterior angles.
peter has 18 oranges, 27 pears, and 12 bananas. He wants t o make fruit baskets with the same number of each fruit in each basket.
a. What is the greatest number of fruit baskets he can make?
b. How many oranges will be in each basket?
c. How many bananas will be in each basket?
d. How many pears will be in each basket?
Answers
B. 6 oranges
C. 9 pears
D. 4 bananas
Hope this helps! Let me know if you need any further assistance!
Answer:
a. Maximum 3 baskets
b. Number of oranges = 6
c. Number of bananas = 4
d. Number of pears = 9
Step-by-step explanation:
Peter has 18 oranges, 27 pears and 12 bananas.
He wants to prepare the fruit baskets with the same number of each fruit in each basket.
a). Greatest number of fruit baskets can be prepared by calculating highest common factor.
Factors of 18 = 2×3×3
Factors of 27 = 3×3×3
Factors of 12 = 2×2×3
Now highest common factor of 18, 12 and 27 = 3
Therefore, maximum 3 baskets can be prepared.
b. Number of oranges in each basket = [tex]\frac{18}{3}=6[/tex]
c. Number of bananas in each basket = [tex]\frac{12}{3}=4[/tex]
d. Pears in each basket = [tex]\frac{27}{3}=9[/tex]
One advantage of credit-card buying is the monthly list of expenditures you receive. True or False
Answers
it is false because the funds will not last forever, you will run out of money
Answer: False .
Step-by-step explanation:
False, it is not an advantage of credit-card buying to get the monthly list of expenditures.
As if we use credit card for every purchase, our liability would get increase, and to burden to pay off with interest will be increased as well.
So, it will be disadvantage instead of advantage to use credit card for every buying.
a=p（1+rt） solve r answer
Answers
A = p（1+rt）
A = p + prt
A - p = prt
(A - p)/pt = r
Done.
In the simple interest formula a=p(1+rt), r can be solved by rearranging the formula to r = [a/p - 1] / t.
Explanation:The question involves the formula a=p(1+rt) which you would normally see in simple interest calculations in mathematics. Your task is to solve for r (the rate).
To do that, you could rearrange the formula: r = [a/p - 1] / t
So, to calculate r, you would subtract one from the quotient of a and p, then divide that result by t (the time).
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there are 20 cookies and 40 slices of pizza to be shared equally. Each student had the same number of whole cookies and same number of pizza with nothing left over. How many students could go to the party?
how many slices of pizza will each get?
how many cookies will each get?
Answers
jon weighs 148 lbs and hopes to gain 2 lbs a week matt weighs 193 lbs and hope to lose 1 lb a week how many weeks till the weight is the same
Answers
3x=193-148
3x=45
x=15
PLEASE HELP ME! Jerry has 2 1/2 pounds of peanuts to share equally. He plans to share the peanuts amoung 5 people. How many pounds of peanuts will each person get? Express your answer in simplest form.
Answers
Danielle is saving to buy a flat screen television that cost $510. She wants to know how long it will take to save the money and writes the expression 510 ÷ [(35×11)]. Will Daniels expression help her find how long it will take to save the money she needs? Explain your answer.
Answers
Danielle's expression doesn't provide the correct time frame for saving unless $385 is her savings rate. She needs to divide the cost of the television by her regular savings amount to find the needed time to save.
Explanation:Danielle is trying to figure out how long it will take to save enough money to buy a flat screen television that costs $510. However, her expression 510 ÷ (35×11) will not accurately give her the information she needs unless $385 (which is 35×11) represents her monthly savings or some other specific saving interval. To determine how long it will take to save the money, Danielle would need to know her savings rate per week, month, or another interval of time and then divide the total cost of the television by that rate.
For example, if Danielle can save $50 each month, the correct expression would be $510 ÷ $50/month. This would yield 10.2 months, assuming she can save that amount consistently every month without any additional costs or interest. Budgeting and cutting unnecessary expenses can also help Danielle accelerate her savings plan. If she finds ways to increase her savings rate by reducing discretionary spending, she would be able to purchase her desire faster.
Use scientific notation to find the product of 4.59 · 10 -5 and 30. Include all of your calculations in your final answer.
Answers
= (4.59 x 3) x 10^-4
= 13.77 x 10^-4
= 1.377 x 10^-3