Answers
Related Questions
Irving lives in Appletown, and plans to drive along Highway 42, a straight highway that leads to Bananatown, located 143 miles east and 45 miles north. Carol lives in Coconutville, located 98 miles east and 32 miles south of Appletown. Highway 86 runs directly north from Coconutville, and junctions with Highway 42 before heading further north to Durianville. Carol and Irving are planning to meet up at park-and-ride at the junction of the highways and carpool to Bananatown. Irving leaves Appletown at 8am, driving his usual 45 miles per hour. If Carol leaves Coconutville at 9am, how fast will she need to drive to arrive at the park-and-ride the same time as Irving?
Answers
Answer:
The speed at which Carol needs to drive to meet Irvin at Bananatown at exactly the same time is approximately 47.188 miles per hour
Step-by-step explanation:
The given information are;
The location of Bananatown from Appletown = 143 miles east and 45 miles north
The location of Coconutville from Appletown = 98 miles east and 32 miles south
Taking Appletown as the origin, we have;
The slope, gradient of highway 42 = 45/143
The equation of a line representing highway 42 is given as follows;
y - 0 = 45/143 × (x - 0)
y = 45/143·x
Therefore, at Coconutville, where x = 98, we have, y = 45/143 × 98 ≈ 30.84 miles north
Total distance north Carol has to drive to get to highway 42 = 32 + 30.84 = 62.84 miles
Total distance along highway 42 Carol will drive to get to Bananatown = √((143 - 98)² + (45 - 30.84)²) ≈ 47.175 miles
Total distance Carol drives to Bananatown = 47.175 miles + 62.84 miles ≈ 110.015 miles
The total distance Irvin needs to drive to arrive at Bananatown = √(143² + 45²) ≈ 149.91
The total distance Irvin needs to drive to arrive at Bananatown ≈ 149.91 miles
The time it takes Irvin to arrive at Bananatown = (149.91 miles)/(45 mph) ≈ 3.33 hours
The time he arrives at Bananatown = 8 a.m. + 3.33 hours ≈ 11.33 a.m.
The time available for Carol to meet Irvin at Bananatown at exactly the same time = 11.33 a.m. - 9 a.m. = 2.33 hours
Therefore, the speed at which Carol needs to drive = (110.015 miles)/2.33 hour ≈ 47.188 miles per hour
The speed at which Carol needs to drive to meet Irvin at Bananatown at exactly the same time ≈ 47.188 miles per hour.
Ms. Psenicska is going to Detroit, Michigan. The cost for two different travel packages is shown in the table.
Package 1 Package 2
$175 S250
Roundtrip Ticket
(per person
Hotel Cost
(per night)
$60
$45
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Answer:
y= 45x + 60 if you are just doing the hotel cost. y= 45x + 235 package one and y= 45x + 310 package two if you are including the cost of the travel packages.
What is the measure of Zx?
Angles are not necessarily drawn to scale.
B
149°
0
Answers
"if a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1.8"
Answers
Answer:
yes you are right
Which symbol correctly completes the statement? -7 + 2 ___ 3 + (-9)
>
<
=
I WILL PICK BRAINLIEST
Answers
Answer:
your answer is > or the second choice
Step-by-step explanation:
-7+2=-5 > 3+(-9)=-6
Answer:
the second option is correct. -5 > -6
Greg has 5 baseball bats that have lengths of: 3/4 yards, 2/3 yards, 1/2 yards, 7/8 yards, 1 1/8 yards. What is the difference in length between his longest and shortest bats?
Answers
Answer:
1 1/8-4/8= 3/8
Step-by-step explanation:
Make sure they all have the same common denominator (24). Then pick out the smallest number and largest number,, and subtract.
Answer:
first question is 25
next question is 12
the last question is 1/16
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Answer:
what
Step-by-step explanation:
Which angles are supplementary to each other
Answers
A mechanic buys 2 barrels of oil. If there are 63 gallons in every barrel and approximately 3.785 liters for every gallon, approximately how many liters of oil did the mechanic buy?
Answers
Answer:
476.91 Liters
Step-by-step explanation:
Lets start by figuring the liters per gallon amount. 63 times 3.785 equals 238.455. Since we have 2 barrels, we need to multiply this by 2 in order to get a grand total of 476.91 liters of oil.
simplifying radicals pt.3 please help ASAP and explain if possible
Answers
Answer: It would be the first option. 15√6
Step-by-step explanation:
5√3 = 5x3=15
√18= √9x2
√9=3
√3x2= √6
15√6
Sandy evaluated the expression below.
(-2) (6-3)-5(2+3)
(-2) (3) -5(5)
8(3) - 25
24-25
-1
What was Sandy's error?
Sandy should have evaluated (-2) as-8.
O Sandy should have not multiplied 5 and 5.
O Sandy did not add 2 and 3 correctly.
O Sandy should have not subtracted 3 from 6 first
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Answer:
answer A
Step-by-step explanation:
i got it right on the test
Help me out please and thank you
Answers
Answer:
the solution for x is -5.
Step-by-step explanation:
more of the quest pls....and more important is the brainliest
Which expression is equivalent to |8| + |-7|?
O -15
O -1
O 1
O 15
Please someone do I need the answer thx :)
Answers
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
When you are adding the absolute values of numbers the sign doesn't matter. So in this case the absolute value of 8 is 8. It is 8 units away from 0. The absolute value of -7 is 7, meaning it is 7 units away from 0. With this in mind you can add both of these numbers together as if they were positive. So 7+8
The right triangle has a big square with an area of 73 sq. units . What could the area of the small squares be .
Answers
9514 1404 393
Answer:
E. 40 and 33
Step-by-step explanation:
The Pythagorean theorem tells you the sum of the areas of the smaller squares will match the area of the largest square.
The answer choices have sums of ...
A: 76; B: 73; C: 96; D: 66; E: 73
So, choices with the correct sum are B and E.
If this question asks you to "choose all that apply," then B & E will be your answer choices.
__
We note that the areas of the smaller squares appear to be not much different in size. If their areas were 23 and 50, the smaller square would be less than half the size of the larger one. So, if the figure is drawn approximately to scale, the choice of 40 and 33 is a better choice.
A governmental entity has formally integrated the budget into its accounting records and uses encumbrance accounting. During the year the government ordered but had not yet received a new police car. What effect will this event have on the unencumbered balance in the account "Expenditures—capital outlay, police department"?
Answers
Answer: a. The balance in the account will not be affected until the police car is received
Step-by-step explanation:
The options are:
a)The balance in the account will not be affected until the police car is received.
b)The balance in the account will be increased.
c)The balance in the account will be decreased.
d)Purchase orders never affect any budgetary account balances.
Unencumbered balance is typically used in governmental accounting and it refers to part of an appropriation not spent yet. In governmental accounting, this is the part of the funds available that's left and hasn't been used yet.
Based on the information given, the effect that this will event will have on the unencumbered balance in the account will be that the balance in the account will not be affected until the police car is received.
Find the points of the equation 3x – 7y= 21 which intersects the x - axis and y-axis.❤THANKS YOU
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♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
To find the x-intercept ;
Just need to put 0((zero)) instead of y in the equation.
Let's do it....
3x - 7y = 21
3x - 7(0) = 21
3x - 0 = 21
3x = 21
Divided sides by 3
3 / 3 × x = 21 / 3
x = 7
Thus the x-intercept is 7 .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
To find the y-intercept ;
Just need to put 0((zero)) instead of x in the equation.
Let's do it....
3x - 7y = 21
3(0) - 7y = 21
0 - 7y = 21
-7y = 21
Divided sides by -7
-7 / -7 × y = 21 / -7
y = - 3
Thus the y-intercept is -3.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
how many solutions does an inconsistent system of equations have?
Answers
Answer:
An inconsistent system doesn't have a solution.
Why do you think Priya and Noah may have found different measurements for the same desk?
Answers
Answer:
Priya used cm to measure the desk while Noah used inch to measure the desk that is why they found different measurement for same desk.
Answer:Priya used cm to measure the desk while Noah used inch to measure the desk that is why they found different measurement for same desk.
What ratio is equivalent to 3 to 8
Answers
Answer:
6 to 16
Step-by-step explanation:
There are a lot of equivalent equations but you can't simplify 3 to 8.
Answer:
If you were to multiply both by 2 you would get a new ratio: 6 to 16
Step-by-step explanation:
As long as you multiply both 3 and 8 by the same number you will get a ratio that is equal to 3:8
Hope this helps!
joe needs to transfer 28 quarts of oil into one gallon containers joe calculated that he needs 112 container's but he made a mistake in his calculations identify and correct his error
Answers
Answer:
The answer to your question is given below.
Step-by-step explanation:
To know the mistake that Joe made and the possible correction, we shall convert 28 quart to gallon.
This is illustrated below:
Recall:
4 quart = 1 gallon
Therefore,
28 quart = 28 quart × 1 gallon / 4 quart
28 quart = 7 gallon
Therefore, 28 quarts is equivalent to 7 gallons.
Hence, Joe made a mistake in his calculations by multiplying 28 quarts by 4 instead of dividing 28 quart by 4.
Express 0.77230.77230, point, 7723 as a fraction
Answers
Answer:
7723/10000
Step-by-step explanation:
-0.2525 rational or not
Answers
Answer:
NOT
Step-by-step explanation:
Rational.
Round it...
-0.25
Turn it into a fraction...
-25/100.
It can be a fraction. Thus, it is rational.
Determine the slope of a line that is Perpendicular to the line that goes
through the points (-3, 8) and (-9,3)
Answers
Answer:
slope = - [tex]\frac{6}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 8) and (x₂, y₂ ) = (- 9, 3)
m = [tex]\frac{3-8}{-9+3}[/tex] = [tex]\frac{-5}{-6}[/tex] = [tex]\frac{5}{6}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{6} }[/tex] = - [tex]\frac{6}{5}[/tex]
The slope of the line below is -2
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Option D is the correct answer
the nearest interger Estimate 923 to
Answers
Answer:
I think that the answer should be 920
Step-by-step explanation:
I think that an integer is a whole number so I rounded to the nearest 10th.
So that's why I think that the answer should be 920.
Correct me If I'm wrong
Hope I Helped
The value of A is . The value of B is .
Answers
Answer:
The value of A is 10.0 inches The value of B is 35 inches
Step-by-step explanation:
A rational function in the form axm+.../bxn+... has a slant (oblique) asymptote when ________.
PLEASE HELP
Answers
Answer:
occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator
Step-by-step explanation:
Angle x is ___ degrees ASAP DUE IN A HOUR
Answers
Answer:
122°
Step-by-step explanation:
180-58=122
you minus angle BCA from 180 is because a straight line is 180 degrees
Answer:it would probably be 180 because it is a straight line
Step-by-step explanation:
What is the equation of the line that passes through the point (-3,6) and has a slope of -2?
Answers
Answer:
y = -2x
Step-by-step explanation:
The equation of a line in point slope form is
y-y1 = m(x-x1)
Where m is the slope and (x1,y1) is a point on the line
y - 6 = -2(x- -3)
y - 6 = -2(x+3)
Distribute
y-6 = -2x-6
Add 6 to each side
y-6+6 = -2x-6+6
y = -2x
Answer:
Step-by-step explanation:
y - 6 = -2(x + 3)
y - 6 = -2x - 6
y = -2x
I'll mark u the brainliest if u answer this
Answers
Answer:
Option B
m<1 + m<2 = 180-m<3
Explanation:
This is how you will find the third interior angle of a triangle when two angles are already given.