Answer:
D. y = 0.42x + 55
Step-by-step explanation:
Let the equation for the cost of the truck be represented by y = mx + b,
where y = cost of truck per mile, x = number of miles, m = charge of the truck per mile and b = rental fee.
We are given that,
Cost for Bob's truck ( y ) = $112.96 for x = 138 miles, and
Cost for Carl's truck ( y ) = $142.78 for x = 209 miles.
This gives us the equations,
142.78 = 209m + b
112.96 = 138m + b
Subtracting these equations, we get,
29.82 = 71m
i.e. m = 0.42
Substituting the value of ' m ' in first equation, we get,
142.78 = 209 × 0.42 + b
i.e. 142.78 = 87.78 + b
i.e. b = 55.
Hence, the equation for the cost of the truck is y = 0.42x + 55
Answer:
d.y = 0.42 x + 55
Step-by-step explanation:
In which quadrant is the coordinate pair (-11, 1) located?
A. IV
b. I
c. II
d. III
Diego says the constant of proportionality is 550 Andrew say is the constant of proportionality is 9 1/6 do you agree with either of them explain your reason
Answer:
The question is incomplete. The complete question is :
A plane traveling at a constant speed flew over Pittsburgh, Saint Louis, Albuquerque, and Phoenix on its way from New York to San Diego.
Complete the table as you answer the questions. Be prepared to explain your reasoning.
segment time distance speed
Pittsburgh to Saint Louis 1 hour 550 miles
Saint Louis to Albuquerque 1 hour 42 minutes
Albuquerque to Phoenix 330 miles
Step-by-step explanation:
We can complete the table as :
segment time distance speed
Pittsburgh to Saint Louis 1 hour 550 miles 550 miles/hour
Saint Louis to Albuquerque 1 hour 42 minutes 93.5 miles 550 miles/hour
Albuquerque to Phoenix 3/5 hour 330 miles 550 miles/hour
Since it is given in the question that the plane is flying in a constant speed from one place top another place.
So, it is maintaining the same speed to cover different distances for different time.
Thus the constant of proportionality is 550.
Steve had 48 chocolates but decided to give 8 chocolates to each of his f coworkers. How many chocolates does Steve have left?
Answer: 40 chocolates
Step-by-step explanation:
If the length of the radius of the circle is 6, what is the area of the square? 6 72 48 12 144
Answer:
If the circle is inside the square the area of the square is 144
Step-by-step explanation:
The diameter of a circle is equal to the side length of a square.
So [tex]d = 2r[/tex] the diameter of the circle is 2(6)=12
so one side length of the equals 12
Area of square = [tex]s^{2}[/tex] [tex]12^{2} = 144[/tex]
Tell me the linear equation for point-slope form?
−9+ p =12 rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Answer:
Add 9 to both sides of the equation.
p=12r+9
Step-by-step explanation:
The answer is 21.
Have a good day!
Help please I don’t understand
what is 5.2 divided by 0.8
Answer:
Hey There!
5.2 divided by 0.8 IS 6.5!
Step-by-step explanation:
This means that 0.8 goes into the number exactly 6.5 times...
I HOPE THIS HELPS!!
(6 + 3) = (4-5) = 18
Evaluate the following numerical expressions
Answer:
18
-9
30
Step-by-step explanation:
did on edge :)
Answer:
Evaluate the following numerical expressions.
6 + 3 • 4 = 18
(6 + 3) ÷ (4 – 5) = -9
6 + 23 • 3 = 30
Step-by-step explanation:
i took the test
Please help xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Answer:
thta is confusing try google
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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. A certain tap can fill a tank in 4 hours and
another tap can fill it in 6 hours. If both the taps
are opened, how long will it take for the tank to
be full?
Answer:
Given -
Time taken by first tap = 4 hours.Time taken by second tap = 6 hours.Now, we'll calculate the work done by both the taps -
[tex] \\ \sf \: \frac{1}{4} + \frac{1}{6} \\ \\ \\ \bf \: lcm \: \: of \: \: 4 \: \: \& \: \: 6 = 12 \\ \\ \\ \implies \sf \: \frac{3 + 2}{12} \\ \\ \\ \implies \sf \frac{5}{12} \\ \\ [/tex]
Now, reciprocal it -
[tex] \\ \implies \sf \frac{12}{5} = 2 \frac{2}{5} \\ [/tex]
Therefore, time taken by both the taps will be 2 2/5 hours.
The table shows the maximum and minimum depths of two submarines. Find the range of depths for each submarine. Then determine which submarine has the greater range of depths.
Submarine A Submarine B
Minimum Depth −146 ft −194 ft
Maximum Depth −532 ft −621 ft
Answer:
Range A = 386ft
Range B = 427ft
B has the larger range.
Explanation:
To find the range, find the difference between the minimum and maximum depths for each submarine. Remember that your answer will be positive.
Sub A:
-146ft - (-532ft) = 386 ft
Sub B:
-194ft - (-621ft) = 427 ft
Submarine B has a larger range.
1. If an equation contains decimals, what is the first step
you can perform to eliminate the decimals?
Answer:
Multiply by a power of 10
Step-by-step explanation:
By multiplying a power of ten, it will make the decimals whole numbers.
For example: 0.75*10=75
0.0075*10000
To eliminate the decimals, the first step we can perform is to multiply the decimal by a power of 10. If there are n numbers after the decimal point, then we will multiply the decimal by 10ⁿ.
What is decimal?In Algebra, a decimal is a type of number with a whole integer and a fractional part separated by a decimal point. The dot that appears between the entire number and the fractions part is the decimal point. 24.589, for example, is a decimal number. The whole number part is 24 and the fractional part is 589. The decimal point is ".".
How to solve this problem?If an equation contains decimals, then we have to check how many numbers are there in the fractions section. If there are 3 numbers like 24.589, to eliminate decimals we have to multiply 24.589 by 10³ to get a whole number [ Since 24.589×10³ = (24589/1000)× 1000 = 24589].
Therefore, to eliminate the decimals, the first step we can perform is to multiply the decimal by a power of 10. If there are n numbers after the decimal point, then we will multiply the decimal by 10ⁿ.
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A toothpaste company surveyed 36,219 customers about their favorite toothpaste flavor . The date will be used be help the company decide what flavors to continue making . To the nearest thousand, about how many customers were surveyed.
Answer:
To the nearest thousands; 36,000 customers were surveyed.
Step-by-step explanation:
Conversion of figures to the nearest thousand often requires rounding up digits that are not up to 5 in the place of hundreds to zero and rounding up the digits that are up to 5 in the place of hundreds to one, therefore, adding it to the value of the previous thousands.
From the given question, to round up the number of customers surveyed in the company, we have the following:
since we are given the value to be 36,219
9 is in unit position
1 is in tens
2 is in hundreds
6 is in thousands
3 is in ten thousand
since the value of 2 in hundred is not up to 5, we round it up to zero, Then our value becomes 36,000 to the nearest thousand.
1. Determine the 20th term of the sequence
1, 4, 7, ...
Explicit
Find the 20th term
2x + 6 = 2(x+3)
A x=0
B no solution
C infinite many solutions
Step-by-step explanation:
2x + 6=2(x+3)
2x+6=2x+6
4x=0
x=0/4
No answer/no solution
2x + 6 = 2(x+3)
2x + 6 =2x+6
2x-2x=6-6
x=0
I guess I was help full for u
At a supermarket, a 6-ounce bottle of
Usalad dressing costs $1.56. A 14-ounce bottle costs $3.36. A 20-ounce
bottle costs $5.60. Which bottle has the lowest cost per ounce?
MP.1
Answer:
The 14 oz bottle has the lowest cost per ounce.
Step-by-step explanation:
$3.36/14
Please help .
77 is written as the product of two prime numbers 7 × 11. Can 702 be written as the product of two prime numbers? If not, why?
702 can not be written as the product of 2 prime numbers, because if you divide 702 by 2 then you get 351 and that is not a prime number. Therefore 702 is a prime number.
AE, DBG and CF are parallel. DA = DB = DC. Angle EAB = angle BCF = 38° what is x
angle DBC = 38° ( Alternate Interior Angles )
angle ABD = 38° ( Alternate Interior Angles )
2 (angle ADC) = angle ABC
or, 2 (angle ADC) = 38° + 38°
or, 2 (angle ADC) = 76°
or, angle ADC = 76/2 = 38°
Answer:x = 38°
2 Truths & One Lie
- 39 - b = - 3
1. The Variable is B in this Equation
2. b = -36
3. b = 36
Which one is a Lie?
Justify your decision.
WILL GIVE 20 POINTS!!
Answer:
b = 36 is the lie.
Step by step:
If we plug in b with it equaling -36 the equation will be
-39 - (-36) which you remove the minus from the -36 and change the subtraction to addition and you get
-39 + 36 = -3
In the end b = -3
So the other one must be wrong, but just incase we will plug it in.
-36 - 36 = 0
Plugging in 36 for b results in 0 which is not correct.
The road has a 10% slope. Calculate its angle of inclination.
Answer:
angle of inclination = 5.71°
Step-by-step explanation:
[tex] 10 \% = \frac{10}{100} = 0.1 = \tan \theta \\ \theta = { \tan}^{ - 1} (0.1) \\ \theta = 5.7105931375 \\ \huge \red{ \boxed{\theta = 5.71 \degree}}[/tex]
Point A is located at coordinates (-4,3). What are the new coordinates of A' after a rotation of 180 degrees using (0,0) as the center of rotation?
Answer:
See below
Step-by-step explanation:
Point A (-4,3)
Point A is in quad 2
So, . . . Point A' will be in quad 4 (+,-)
Therefore, you switch the signs.
Point A' (4,-3)
The new position of the point (-4,3) will be (4,-3) after rotation.
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation. An object is rotated by turning it around the center of rotation, which is a point.
Given that point A is located at coordinates (-4,3). The new coordinates of A' after a rotation of 180 degrees using (0,0) as the center of rotation.
As it is given point A is rotated about the origin at 180 degrees. Then the new coordinates of the points will be at the same magnitude but with the opposite sign.
Point A (-4,3)
Point A' will be in quadrant 4 ( +,- )
Point A' = ( 4, -3).
Therefore, the new position of the point (-4,3) will be (4,-3) after rotation.
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Victoria is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. It is known that the total charge to use a computer for 5 minutes would be $6 and that the additional rate per minute of use is $0.60. Write an equation for C,C, in terms of t,t, representing the total cost of using a computer for tt minutes at the internet cafe.
Step-by-step explanation:
Given that the initial charge/fee for the first 5 minutes is $6
and also the additional rate per minutes is $0.6
we can model the total charges after the equation of a straight
that y= mx+c
now using the required notation
C= 0.6t+ 6
comparing this with the equation of a straight line
the constant term c is $6 flat rate for the first 5 minutes
the gradient 0.6 is m
the dependent variable x is t
and the cost C is y
Answer:
i believe its c=0.60t+3
Step-by-step explanation:
What’s the product of 728x32
Answer:
23296
Step-by-step explanation:
You will know this if you use box method or using standard form its pretty much simple multiplication
. Rahul has 260 coins of Rs. 1, Rs.2 and Rs.5 altogether. The total value of the money is Rs.309. The number of Rs.2 coins is three times the number of Rs.5 coins. Find the number of coins of each type.
Solve for x : x/8 = 8
Quickly !
The answer is [tex]x=64[/tex]
The first and last step is to multiply both sides by 8
[tex](\frac{x}{8} )(8)=8*8[/tex]
Multiplying [tex]\frac{x}{8}[/tex] by [tex]8[/tex] makes x by itself and 8*8 is 64
[tex]x=64[/tex]
A line segment has the endpoints P(-7, 6) and Q(-3, 9). Find the coordinates of its
midpoint M
Write the coordinates as decimals or integers.
Answer:
[tex]MP= (-5,7.5 )[/tex]
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )[/tex]
[tex]MP= (\frac{-7+-3}{2} )(\frac{6+9}{2} )[/tex] -7+-3= -10 6+9=15
[tex]MP= (\frac{-10}{2} )(\frac{15}{2} )[/tex] -10/2=-5 15/2=7.5
[tex]MP= (-5,7.5)[/tex]
Mitch lives on the 20th floor of an apartment building. Every time he leaves, he rides a self-service elevator from the 20th floor to the street; but every time he returns, he rides the same self-service elevator only to the 15th floor, where he leaves the elevator and walks up the remaining five flights of stairs. What is happening? Why does he do that?
Answer:
He does that because he is short and his hand can't reach the 20th floor button
Step-by-step explanation:
Mitch does that simply because he is short.
When he is leaving, he doesn't need to reach the 20th floor button because the button is way taller than the reach of his hands whereas when he is returning he has to reach the 20th floor button but his hand can only reach the 15th floor button. Thus, he gets to the 15th floor and walks up the remaining 5 flights.
A farmer plants 0.6 of a field with peanuts. The field is 5.6 acres in size. How many acres are planted with peanuts?
Answer:
3.36 acres
Step-by-step explanation:
Help, please, I’m so confused
Answer:
Uhhh just do all the process corectly :)
Answer:
See Explanation
Step-by-step explanation:
While multiplying exponents with the same bases, we add the exponents.
Formula:
[tex] \huge \red{ \boxed{\bigg( {a}^{m} \bigg). \bigg( {a}^{n} \bigg) = {a}^{m + n} }} \\[/tex]
SOLUTION:
[tex] \huge \bigg( {7}^{ \frac{3}{4} } \bigg). \bigg( {7}^{ \frac{3}{4} } \bigg) \\ \huge = {7}^{ \frac{3}{4} + \frac{3}{4} } \\ \huge = {7}^{ \frac{6}{4} } \\ \huge = {7}^{ \frac{3}{2} } \\ \huge = \sqrt{ {7}^{3} } \\ \huge = 7 \sqrt{7} [/tex]