Answers
A
If he is staying in the same place km for 1/2 hour, you can assume he's eating lunch or something. He hasn't moved at all, so his speed = distance over time = 0/(0.5) hours = 0
0 = answer
B
Watch out for this. It's a little bit nasty. He starts out at 20 km He ends up at 0 km. It means he is going back to were he started from. If it said velocity, you'd have a problem.
The time taken is 1.5 to 3 hours = 1.5 hours
His speed is d/t
His speed is 20/1.5 = 13.33 km/hr.
Speed = total distance / total time
total time = 3 hours.
Total distance = 40 km which is what the odometer would show.
Speed = 40 km/3 hours = 13.33 km/hour
C
You could just read the graph. He is 10 km from home.
Related Questions
What is the length of the altitude of the equilateral triangle below?
Answers
the actual right answer is c.
ANSWER
The length of the altitude is [tex]3\sqrt{3}[/tex] units
EXPLANATION
The altitude of a triangle is the vertical height of the triangle.
From the diagram the altitude is [tex]a[/tex]
Method 1: We can use Pythagoras theorem to find [tex]a[/tex]
[tex]6^2=a^2+3^2[/tex]
[tex]6^2-3^2=a^2[/tex]
[tex]36-9=a^2[/tex]
[tex]27=a^2[/tex]
We take the square root of both sides,
[tex]\sqrt{27}=a[/tex]
[tex]\sqrt{9\times3}=a[/tex]
[tex]\sqrt{9} \times \sqrt{3}=a[/tex]
[tex]3\sqrt{3}=a[/tex]
Method 2 Using Trigonometry
[tex]sin(60\degree)=\frac{a}{6}[/tex]
[tex]6sin(60\degree)=a[/tex]
[tex]a=6\times \frac{\sqrt{3}} {2}[/tex]
[tex]a=3\sqrt{3}[/tex]
the map shown is scale of 1:50 000
1) measure and state in centimeters the distance on the map from L to M
2) Calculate the actual distance in kilometers from L to M
3) The actual distance two points is 4.5 km calculate the number of centimeters that should be used to represent the distance one the map
Answers
The measure of L to M on the map is 5.8 cm . The actual distance in kilometers is 2.9km and the drawing distance corresponding to 4.5km is 9 cm.
1.)
The distance between points L and M in the drawing is 5.8 cm
2.)
Using the scale given
1 : 500001cm on the map represents 50,000 cm on ground
1 cm = 50000
5.8 cm = x cm
x = 5.8 × 50000
x = 290000 cm
converting to kilometers:
100000 cm = 1 km
290000/100000
= 2.9 km
Hence, the distance in kilometers is 2.9 km.
3.)
Given an actual distance of 4.5 km
4.5 km = 450000 cm
1 cm = 50000 cm
x cm = 450000
50000x = 450000
x = 450000/50000
x = 9 cm
The speed that a tsunami (tidal wave) can travel is modeled by the equation where S is the speed in kilometers per hour, and d is the average depth of the water in kilometers. A tsunami is traveling at 140 km/hr. What is the approximate average depth of the water?
Answers
Answer:
The average depth of the water will be 0.155 kilometers or 155 meters.
Step-by-step explanation:
The speed at which the tsunami waves travel is [tex]S=356\sqrt{d}[/tex]. Here S is the speed in kilometers per hour and d is the average depth of the water in kilometers.
Now, it is given that the wave travels at the speed of [tex]S=140\rm km/hr[/tex].
So, the average depth of the water will be,
[tex]S=356\sqrt{d}\\140=356\sqrt{d}\\\sqrt{d}=0.393\\d=0.155\rm km[/tex]
Therefore, the average depth of the water will be 0.155 kilometers or 155 meters.
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Answer: c
Step-by-step explanation:
0.155 km
Consider the scatter plot.
Which choice best describes the association?
Positive association
No association
Negative association
Answers
negative linear is a line with dots that are mostly straight but go down
positive is when a line is going up DOES NOT have to be PERFECTLY straight
no associate is when its NOT straight AT ALL
How is the expression (5 + y) ⋅8 described by its factors and terms?
A) It has two factors and the factor (5 + y) has one term.
B) It has three factors and the factor (5 + y) has one term.
C) It has three factors and the factor (5 + y) has two terms.
D) It has two factors and the factor (5 + y) has two terms.
Answers
The factors are what are multiplied to make the expression. In this expression, (5+y) and 8 are multiplied, so those are the 2 factors.
The factor (5+y) has two terms, 5 and y.
Plzzz help
what is the mean for the data set 582, 505, 548, 578, 511, 506, 521, 546, 570. express your answer as a decimal to the nearest tenth
Answers
To find the mean all you have to do is add all the numbers together then divide that by how many numbers there are
582 + 505 + 548 + 578 + 511 + 506 + 521 + 546 + 570 = 4867
There are 9 values.
4867 ÷ 9 ≈ 540.78 ≈ 540.8
The mean is about 540.78, or, rounded to the nearest tenth, 540.8.
Any help if possible Thank you ❤
Answers
From the diagram, we can see that the radius of the cone is 8cm and the height of the cone is 15cm. We then just plug these numbers into the formula and simplify:
[tex]v = \frac{1}{3} \pi {r}^{2} h \\ v = \frac{1}{3} \pi {(8)}^{2} (15) \\ v = 320\pi[/tex]
The volume of the cone is approximately 1005.3096 cm^3. With 3 sig figs, this is 1010 cm^3.
What series of transformations map triangle △ABC onto △EDF to prove that ABC≅EDF ?
translation 3 units up then a reflection across x-axis
translation 3 units down then a reflection across y-axis
translation 3 units down then a reflection across x-axis
translation 3 units up then a reflection across y-axis
Answers
The correct answer is A translation 3 units up then a reflection across the x-axis.
Translation: moving/sliding a figure
Reflection: taking a figure and flipping it over a line.
Answer:
translation 3 units down then a reflection across x-axis
Step-by-step explanation:
A translation is a kind of rigid motion . It trace a function that maps an object a particular distance.A reflection is a kind of rigid motion . It is mainly a flips of a shape across the line of reflection.In the given figure, we can see that Δ ABC is vertically 3 units away from the x axis .
So we translate Δ ABC by 3 units down and then reflect it across x axis to get ΔDEF.
What is the experimental probability of the arrow stopping over section 2?
Answers
suppose you have a 100 millimeter cup a 300 millimeter cup and a 500-milliliter cup list two different ways you can measure exactly 1 liter
Answers
I will list out five ways for you, so you can choose either two.
1st way :
One 500 milliliter cup
One 300 milliliter cup
Two 100 milliliter cups
2nd way :
Two 500 milliliter cups
3rd way :
Three 300 milliliter cups
One 100 milliliter cup
4th way :
Ten 100 milliliter cups
5th way :
Two 300 milliliter cups
Four 100 milliliter cups
Hope this helps. - M
Math- finding the volume of the triangle. Please show work, I am very confused
Answers
The 1/2 and 2 cancel each other out, so it's just b × h.
Area of base: 8 × 8 = 64 cm²
Height: 12 cm
64 × 12 = 768
The volume of the triangle is 768 cm³.
what are vertical angles? give an example.
Answers
HOPE THAT HELPS!!
What fraction makes the equation true?
2/3 x blank = 8/12
Answers
But, since 8/12 is already equal to 2/3, this means:
x=1
Change to decimals and put in order of smallest to biggest
7/5 3/8 5/9 3/16
Answers
3/8=0.375
5/9=0.556
3/16=0.188
0.188, 0.375, 0.556, 1.400
3/16, 3/8, 5/9, 7/5
Given: ΔPSQ, PS = SQ PΔPSQ = 50 SQ – PQ = 1 Find: Area of ΔPSQ
Answers
Use the sine rule.
SQ/sin 65 = (SQ - 1)/Sin50
(sin50)/(sin 65) = (SQ-1)/SQ
0.8452(SQ) = SQ-1
0.1547SQ = 1
SQ = 6.46
The formula to apply here is:
Area=1/2(SQ)(SQ)sin50
= 0.5 × 6.46 × 6.46 × sin50
= 15.984
Estimate x- and y- intercepts of the graph
Answers
the x-intercepts is the value of x when y=0
the value of x is approximate 1
x=1 for y=0
the y-intercepts is the value of y when x=0
the value of y is approximate -2
y=-2 for x=0
25 percent of the workers are on third shift.there are 33 workers on third shift. how many workers are there total?
Answers
1% = 33 ÷ 25 = 1.32 workers
100% = 1.32 x 100 = 132 workers.
Answer: There are a total of 132 workers.
krista bought 6 gallons of gasoline and paid $6.89. to the nearest tenth of a cent, what is the price of gasoline per gallon
Answers
So the price of gasoline per gallon is $1.14.
Hope this Helps!!
The price per gallon of gasoline is the cost of one gallon of gasoline which can be obtained by dividing the cost by the number gasoline purchased. Hence, the price per gallon of gasoline ls $1.15
Amount of gasoline purchased = 6 gallons
Total cost = $6.89
The price per gallon of gasoline can be calculated thus :
Total cost of gasoline ÷ Amount of gasoline purchasedPrice per gallon = $6.89 ÷ 6 = $1.148
Therefore, the price per gallon of gasoline ls $1.15 (rounded to the nearest tenth)
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jeffs water bill includes a base charge of 12.00. plus a charge of 1.50 for each 1000 gallons of water used. his water bill is 28.50. how many gallons of water did jeff use?
Answers
Jeff has used 11,000 gallons of water. We find this by subtracting the base charge from the total bill and dividing it by the cost per 1000 gallons.
Explanation:The water bill that Jeff receives is made up of a base charge of $12.00, plus an additional charge of $1.50 for each 1000 gallons of water used. From the given information, we know that Jeff's bill came to $28.50. To find out how much water Jeff used, we first need to subtract the base charge from the total bill which gives us $16.50. Now we divide this number by the cost per 1000 gallons, which is $1.50. Therefore, we can say that Jeff used 16.50 ÷ 1.50 = 11 units of water. Since 1 unit refers to 1000 gallons, Jeff has used 11,000 gallons of water.
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Which is greater 17/20 or 22/25
Answers
We can get them to a common denominator of 100.
This would be:
[tex] \frac{85}{100} [/tex] and [tex] \frac{88}{100} [/tex]
As you can see [tex] \frac{88}{100} \ \textgreater \ \frac{85}{100} [/tex].
[tex] \frac{22}{25} [/tex] is greater.
PLEASE HELP! In college, you earn credits for courses taken. For each semester, tuition at a local college is $2400, plus $184 per credit. You have financial aid that will cover $5,160 for the semester. How many credits can you take without spending any of our own money?
Answers
What sequence of transformations, when applied to △ABC , shows that △ABC is similar to △A′B′C′ ?
dilation with respect to the origin by a scale factor of 2 followed by a translation of 2 units left
dilation with respect to the origin by a scale factor of 12 followed by a translation of 2 units right
translation of 2 units right followed by a dilation with respect to the origin by a scale factor of 12
translation of 2 units left followed by a dilation with respect to the origin by a scale factor of 12
Answers
Remember this, always translate before you dilate. Also, you would want to translate to the left, not to the right, so by process of elimination I came up with this answer,
The correct sequence of transformations that shows that △ABC is similar to △A′B′C′ is:
translation of 2 units left followed by a dilation with respect to the origin by a scale factor of 12.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object.
In this case, we can see that a dilation with respect to the origin by a scale factor of 12 would stretch or shrink the triangle, but would not change the angles.
Therefore, we need to apply a translation first to move the triangle into the correct position.
So, we first translate the triangle 2 units left, which does not change its shape or size, but moves it to a position where it can be more easily compared to the other triangle.
Then, we apply a dilation with respect to the origin by a scale factor of 12, which stretches or shrinks the triangle but does not change its shape.
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Evan earns $12 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week.
Part A: Create an equation that shows the amount of money earned, M, for working x hours in a week when there is no overtime.
Part B: Create an equation that shows the amount of wages earned, T, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 30 hours.
Part C: Evan earned $510 in 1 week. How many hours (regular plus overtime) did he work? Show your work.
Answers
Part B. T =12x+15y
Part C. 510 =12x+15y
510= 360+ 15y
150=15y
y=10 hrs
bloomingdale's marks up mink coats $3000.this represents a 50% markup on cost. What's the cost of coats
Answers
Bloomingdale's marks up mink coats [tex]\[/tex]3000. The mink coats cost [tex]\[/tex]6000.
Cost, in the context of pricing and business, refers to the amount of money or resources required to produce or acquire a product or service. It contains several expenses associated with manufacturing, production, materials, labor, overhead costs, and other costs incurred in the process.
Let's assume the cost of the mink coats is represented by the variable "C".
According to the given information, Bloomingdale marks up the mink coats by [tex]\[/tex]3000, which represents a 50[tex]\%[/tex] markup on the cost.
A 50[tex]\%[/tex] markup means the markup amount is 50[tex]\%[/tex] of the cost. In other words, the markup amount is 0.5C.
Let's set up the equation to represent this information,
C + 0.5C = Cost + Markup
1.5C = Cost + [tex]\[/tex]3000
Since the markup is $3000, we can write the equation as,
1.5C = C + [tex]\[/tex]3000
To find the cost of the coats, it is needed to solve for C.
1.5C - C = C - C + [tex]\[/tex]3000
0.5C = [tex]\[/tex]3000
Next, let's isolate C by dividing both sides of the equation by 0.5,
[tex]\frac{0.5C}{ 0.5}[/tex] = [tex]\frac{3000}{0.5}[/tex]
C = [tex]\[/tex]6000
Therefore, the cost of the mink coats is [tex]\[/tex]6000.
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Which relations represent functions ?
Answers
Answer: First and third
Step-by-step explanation:
A function is a special kind of relation between two variable such that each input corresponds to exactly one output.In the given pictures, the first and third picture are representing function because each input corresponds to exactly one output.
In second and fourth picture one input value corresponds to two output values.
i.e. a corresponds to 25 and 55 and x corresponds to 7 and 5 in output.
Out of 40 coins, 16 are dimes. Half of the remaining coins are quarters and the rest are pennies and nickels. There are 2 nickels for every penny. How many pennies are there?
Answers
40-16=24
16 dimes so far
24/2=12
16 dimes, 12 quarters
16+12=28 40-28=12
12 coins left
Then I drew a diagram and for every 1 penny I drew 2 nickels. In order to get 12 overall in pennies and nickels there has to be 8 nickels and 4 pennies.
Hope that helped! :)
Answer:
Option (B) is correct, 4 pennies.
(Photo) Pls help me!
The 3 sections of a game spinner are numbered 1 to 3. Which tree diagram shows all the possible outcomes for 2 spins?
Answers
The tree diagram shows all the possible outcomes for 2 spins C is correct.
We have given that,
The 3 sections of a game spinner are numbered 1 to 3.
We have to determine, which tree diagram shows all the possible outcomes for 2 spins.
There are 3 options the first time and after that,
There are 3 options for each of those.
So it would be C.
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yesterday, noah ran 2 1/2 miles in 3/5 of an hour. Emily ran 3 3/4 miles in 5/6 hour. Anna ran 3 1/3 in 3/5 hour. How fast, in miles per hour l, did each person run? who ran the fastest?
Answers
speed=distance/time
a] Noah's speed:
distance=2.5 miles
time=3/5 hours
speed=(2 1/2)/(3/5)
=(5/2)/(3/5)
=5/2×5/3
=25/6
=4 1/6 mi/hr
Emily's speed
distance=3 3/4 miles
time=5/6 hour
thus
speed=(3 3/4)/(5/6)
=15/4)/(5/6)
=15/4×6/5
=4 1/2 mi/hr
Anna's speed:
distance=3 1/3 miles
time=3/5
speed=(3 1/3)/(3/5
=(10/3)/(3/5)
=10/3×5/3
=5 5/9 mi/hr
Anna was the fastest
Please help I don't understand, if you can please show work, thank you
Answers
Janet's gross salary is $2400 per month, what is her gross yearly salary
Answers
2400x12=28800
$28,800 is the gross yearly salary.