Answer:
Step-by-step explanation:
The table shows the amount of gasoline g (in gallons) left in your tank after you travel m miles.
Miles, m Gallons, g
0 20
20 19
40 18
60 17
A) Write a linear function that relates the amount of gasoline to the traveling distance.
B) How many gallons of gasoline are left after you drive 120 miles?
Answer:
A) [tex]y=-\frac{1}{20}x+20[/tex]
B) 14 gallons of gasoline
A linear function that relates the amount of gasoline to the traveling distance is : y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.equation modelling : Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis and results of the given problemGiven is a table shows the amount of gasoline [g] (in gallons) left in your tank after you travel [m] miles.
The given table is -
Miles [m] Gallons [g]
0 20
20 19
40 18
60 17
We can write the linear function as -
y = mx + c
We can write the slope as -
m = {(19 - 20)/(20 - 0)}
m = (- 1/20)
At [x] = 0, then [y] = 20. So, the equation will be -
y = (-1/20)x + 20
y = - (1/20)x + 20
At [x] = 120 miles -
y(120) = (-1/20 x 200) + 20
y(120) = - 10 + 20
y(120) = 10 gallons
Therefore, a linear function that relates the amount of gasoline to the traveling distance is - y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.
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Pls help I’ll brainlest pls help
Answer:
67.31
Step-by-step explanation:
27% of $53 is 14.31
$53+$14.31=$67.31
Answer:
$68.05
Step-by-step explanation:
To find out what the total cost of the meal is, multiply 1.07 by 53 * 1.2. I'd multiply 53 by 1.2 first, then multiply the product of that by 1.07.
(53 * 1.2) * 1.07 (Convert 1.2 into 6/5, and 1.07 into 107/100.)
((53 * 6)/5) * 107/100 (Multiply 53 by 6 to get 318.)
318/5 * 107/100 (Cross cancel if needed.)
159/5 * 107/50 (Multiply 159 by 107 to get 17013.)
17013/(5 * 50) (Multiply 5 by 50 to get 250)
17013/250 (Divide 17013 by 250 to get 68.052)
68.052 (Round to the nearest cent)
The meal costs $68.05 in total.
Please answer this correctly without making mistakes
Answer:
5 tons and 8 pounds
Step-by-step explanation:
1 ton is equal to 2000 pounds.
40 tons is equal to 80000 pounds (40*2000)
80000+64=80064
80064/8 = 10008
10008 is equal to 10000+8
10000/2000 = 5
5 tons and the leftover 8 is pounds
Hope I was able to help! Good Luck!
The combined of a pair of congruent rectangles can be represented in square units by the expression 18y^2 - 8
Answer:
2(3y+2)(3y−2)
Step-by-step explanation:
A certain comet near the sun moved through space at a rate of 701, 208 kilometers per hour. What is this number in word form?
Seven hundred one thousand, two hundred eight
Seven hundred ten thousand, twenty-eight
Seven hundred one thousand, twenty-eight
Seven hundred ten thousand, two hundred eight
701,208 is in word form is Seven hundred one thousand, two hundred eight
What is Number system?A number system is defined as a system of writing to express numbers.
Given that A certain comet near the sun moved through space at a rate of 701, 208 kilometers per hour
We need to write the number in sentence form
In the given number 8 is at units place
0 at tens place
2 is at hundred place
1 is at thousand place
0 is at ten thousand place
7 is at hundred thousand place
701, 208 is Seven hundred one thousand, two hundred eight
Hence, 701,208 is in word form is Seven hundred one thousand, two hundred eight
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i can you help me build the equation
i can graph it though :)
Answer:
x + 5y ≤ 30
Step-by-step explanation:
4x +4< 9x +8 Reduce any fraction to the lowest term don’t know your number and don’t use mixed fraction
Answer:
x < - 4/5
Step-by-step explanation:
Given the inequality:
4x +4< 9x +8
Collect like terms :
4x - 9x < 8 - 4
-5x < 4
Divide both sides by - 5
-5x / - 5 < 4 / - 5
x < - 4/5
What is the reason that absolute value is always written as a positive?
Absolute Value is talking about numbers so it must be positive
Absolute Value is like a clock it has only positive numbers
Absolute value does not always have to be positive
Absolute value is talking about distance (Distance from zero); distance is always
measured by positive numbers.
Answer:
Absolute value is talking about distance (Distance from zero); distance is always measured by positive numbers.
Pls help I need a good grade
Answer:
y=3/2x
Step-by-step explanation:
Slope is 3/2 and starts at the origin.
What is the slope of a line that is perpendicular to the line with equation 12x+3y=9?
Answer:
The slope would be 1/4.
Step-by-step explanation:
To find the perpendicular slope first you have to set this equation to y
to do this you use the subtraction prop of equality and you will get 12x-9= -3y
then you divide by -3 on both sides to get y by itself
you will get -4x+3=y
now that you know the slope is -4, you must find the negative reciprocal slope of this which means you have to flip the numerator and denominator and make the sign its opposite.
The perpendicular slope would then be 1/4.
I don’t know the answer to this question, I need help the question is in the picture!
Answer:
it is 112° .. as you will solve it like this (180-44=136) and each angle down there are equal so we will divide 136÷2 so each angle is 68° ,, finally to find x you can do it in two ways 1) (68+44) =112 or you can go with (180-68=112)
if three distinct numbers have a sum of 10 and a product of 20, what is their median
Answer:
gfdsgfds
Step-by-step explanation:
fdgdsf
Estimate the answer by rounding each fraction to the nearest whole number and then subtracting.
Answer:
5
Step-by-step explanation:
estimated would be 8 - 3
To solve the problem we must know about fractions.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction [tex]\frac{1}{4}[/tex] can be described as 0.25
What is a Mixed Fraction?A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator.
The solution to this problem is [tex]5\dfrac{13}{40}[/tex].
Given to us
[tex]8\frac{1}{5}-2\frac{7}{8}[/tex]
Converting the mixed fractions to fraction
[tex]8\dfrac{1}{5}-2\dfrac{7}{8}\\\\=\dfrac{(8 \times 5)+1}{5}-\dfrac{(8\times 2)+7}{8}\\\\=\dfrac{41}{5}-\dfrac{23}{8}\\\\[/tex]
Taking LCM,
[tex]=\dfrac{41\times 8}{5\times 8}-\dfrac{23\times 5}{8\times 5}\\\\=\dfrac{328}{40}-\dfrac{115}{40}\\\\=\dfrac{328-115}{40}\\\\=\dfrac{213}{40}[/tex]
Converting to Mixed Fractions,
[tex]=5\dfrac{13}{40}[/tex]
Hence, the solution to this problem is [tex]5\dfrac{13}{40}[/tex].
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Solve for y in the equation C = 5x² +y
Answer:
y=C-5x^2
Step-by-step explanation:
12p+ 15 - 13 - 12p
And show me how you got the answer
Answer:
2
Step-by-step explanation:
According to me, you would just have to combine like terms and simplify them as much as possible.
12p + 15 - 13 - 12p
12p - 12p + 15 - 13
0 + 15 - 13
0 + 2
2
Hope this helps :D
9
Are the expressions below equivalent? How do you know?*
(3 Points)
8x + 16 versus 4(2x + 4)
Enter your answer
Answer:
Step-by-step explanation:
these expressions are equivalent
4(2x+4)= 8x+16 after multiplying 4 with 2x+4
Answer:
yes
Step-by-step explanation:
Yes. If I substitute a number for x, the result is the same.
for what value of the variable the value of the expression 4(5x-8) is 4 more than the value of the expression 2(4-x)
Answer:
For x=2, the expression 4(5x-8) will be 4 more than the expression 2(4-x)
Step-by-step explanation:
Given expressions are;
4(5x-8) and 2(4-x)
For 4 more than the second expression, we will add 4 with second expression.
4(5x-8) = 2(4-x) + 4
20x - 32 = 8 -2x +4
20x + 2x = 12 + 32
22x = 44
Dividing both sides by 22
[tex]\frac{22x}{22}=\frac{44}{22}\\x=2[/tex]
Hence,
For x=2, the expression 4(5x-8) will be 4 more than the expression 2(4-x)
I NEED HELP IMMEDIATELY!!!!
I am doing this for math homework and don't know if these equations are proportional or not!
25 points available!
Answer: Looks Proportional
Answer:
The first one is proportional but the second one is not proportional
Step-by-step explanation:
Hope this helps!
What is the value of 599 x (400+37)?
Answer:
261763
Step-by-step explanation:
599*437
=261763
A submarine spots a speedboat on the
surface of the water at a 42° angle of
elevation. The sub and the boat are
separated by a straight line distance of
35 feet. How far beneath the surface is
the submarine traveling?
Answer:
Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59°, and the angle of depression from ship B to the submarine is 47°.
How far away is the submarine from the two ships? Round to the nearest hundredth of a foot.
The distance from ship A to the submarine is about
feet.
The distance from ship B to the submarine is about
feet.
Step-by-step explanation: answer this and ill answer yours.
is the relation shown below a function?
Answer:
No it's not a function, because the domain 20 repeats.
what is 5x + 4x
and find the coefficient
Answer:
9x
9 is the coefficient
Step-by-step explanation:
5x + 4x
These are like terms (they both have the same variable (x))
5x + 4x = 9x
The coefficient is 9, since it's the number in front of a variable.
Hope this helped!
Create a dot plot for the given set of data.
1 2 2 3 3 4 4 4 4 5 5
5 5 6 6 6 6 7 7 8 8 8
hope this helps. let me know if you can see what i have attached.
The box- plot is attached below.
What is dot- plot?Data points are represented as dots on a graph with an x- axis and y-axis in a dot plot, sometimes referred to as a strip plot or dot chart, which is a straightforward type of data visualisation. These kinds of graphs are employed to visually represent particular data trends or groupings.
Given:
1 2 2 3 3 4 4 4 4 5 5
5 5 6 6 6 6 7 7 8 8 8
Now, 1 Appears 1 time
2 Appears 2 time
3 Appears 2 time
4 Appears 4 time
5 Appears 4 time
6 Appears 4 time
7 Appears 2 time
8 Appears 3 time
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Is this a function ?
Solve and Simplify if you can
Alexa is baking a cake. She uses 2 3/4 cups of flour for her recipe. She decides to double her recipe. How many cups of flour will see need?
Answer:
5 1/2 cups
Step-by-step explanation:
2.75 times 2
Consider the expression 40+24 Find the greatest common factor of the two numbers and rewrite the expression using the distributive property
Answer:
Greatest Common Factor of 40+24 is 8
Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)
Step-by-step explanation:
We need to F=find the greatest common factor of the two numbers 40+24 and rewrite the expression using the distributive property
Greatest Common Factor:The greatest number that is divisible by both numbers is known as greatest common factor.
So, Greatest Common Factor of 40+24 is 8
Now, Taking 8 common we get: 8(5+3)
Distributive property:It is written as: a(b+c) = ab+ac
So, we have 8(5+3) =8(5)+8(3)
Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)
Juniors will be hosting prom this year. They will need to make at least $ 4000 in profits from selling tickets. The juniors estimate there can be at most 600 students that can attend prom because of the size of the venue. They will profit $ 20 for each ticket sold in advance and $ 40 for each ticket sold at the door. Name your variables, and write a system of inequalities.
Can anyone solve this for me?
Answer:
multiply, 12 inches per foot
Step-by-step explanation:
find the value of x for which
З(2^x-3) = 384
Answer:
x=log2(131)
Step-by-step explanation:
3(2^x-3)=384
x=7.03342
i don't know this question but i have made it by photomath app.
you can get it from playstore
i givvvveeeee brainlilsttttttt
Answer:
thanks
Step-by-step explanation:
your welcome