Becky is planning a 2 100-mile trip to St. Louis to visit a college. Her car averages 30 miles per gallon
About
how many gallons will her car use on the trip?
O 12
O 70
067
034
The number of gallons of fuel required for 200 miles will be 6.7 gallons. The correct option is C.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Given that Becky is planning a two 100-mile trip to St. Louis to visit a college. Her car averages 30 miles per gallon.
The total miles covered in two trips will be,
100 + 100 = 200 miles
The amount of fuel will be calculated as:-
Fuel = 200 / 30
Fuel = 6.7 gallons
Therefore, the fuel quantity will be 6.7 gallons.
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Evaluate the difference quotient for the given function.
f(t) = g(t) h(t) , where g(t) = cos(t) and h(t) =sin(t)
Assuming you mean f(t) = g(t) × h(t), notice that
f(t) = g(t) × h(t) = cos(t) sin(t) = 1/2 sin(2t)
Then the difference quotient of f is
[tex]\dfrac{\frac12 \sin(2(t+h)) - \frac12 \sin(2t)}h = \dfrac{\sin(2t+2h) - \sin(2t)}{2h}[/tex]
Recall the angle sum identity for sine:
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
Then we can write the difference quotient as
[tex]\dfrac{\sin(2t)\cos(2h) + \cos(2t)\sin(2h) - \sin(2t)}{2h}[/tex]
or
[tex]\boxed{\sin(2t)\dfrac{\cos(2h)-1}{2h} + \cos(2t)\dfrac{\sin(2h)}{2h}}[/tex]
(As a bonus, notice that as h approaches 0, we have (cos(2h) - 1)/(2h) → 0 and sin(2h)/(2h) → 1, so we recover the derivative of f(t) as cos(2t).)
20% of a number is 184. What is the number
Answer:
20% is 184
100% is x
x= 184 • 100/20
x= 920
A rectangular pool is 6 meters wide and 8 meters long. If you swim diagonally across the pool, how many meters would you be swimming?
If you swim diagonally across the rectangular pool, the distance you swim is 10 meters.
Given the following data:
Width of rectangle = 6 metersLength of rectangle = 8 metersTo determine the distance you swim in meters, we would apply Pythagorean's theorem since the width is along the x-axis while the length is along the y-axis.
Note: The diagonal side of the rectangular pool represents the hypotenuse.
Mathematically, Pythagorean's theorem is given by the formula:
[tex]Hypotenuse^2 = Opposite^2 + Adjacent^2[/tex]
Substituting the given parameters into the formula, we have;
[tex]Hypotenuse^2 = 6^2 + 8^2\\\\Hypotenuse^2 = 36+64\\\\Hypotenuse^2 = 100\\\\Hypotenuse = \sqrt{100}[/tex]
Hypotenuse = 10 meters.
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1. How can you tell by looking at each graph that a proportional relationship exists between the quantities? 2. Find the constant of proportionality for each graph. Write your answer as y = kx.
Answer:1. How can you tell by looking at each graph that a proportional relationship exists between the quantities?
relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.
2. Find the constant of proportionality for each graph. Write your answer as y = kx.
y = kx or y = k/x, where k determines how the two variables are related to one another. This k is known as the constant of proportionality.
Step-by-step explanation:
One weekend Bill earned 3 times as much as Jim. Tom earned $5 more than Jim. In all, they earned $60. How much did each earn?
Answer:
Step-by-step explanation:
J
B = 3J
T = J + 5
J + 3J + J + 5 = 60
5J = 55
J = $11
B = $33
T = $16
The amount earned by Jim, Bill and Tom is equal to [tex]\boldsymbol{\$ 11},\boldsymbol{\$ 33},\boldsymbol{\$ 16}[/tex].
"Important information"Let .
The amount earned by Jim be [tex]\boldsymbol{x}[/tex].
Amount earned by Bill [tex]=\boldsymbol{3x}[/tex]
Amount earned by Tom [tex]=\boldsymbol{x+5}[/tex]
Total amount earned by all [tex]=\boldsymbol{\$ 60}[/tex][tex]x+3x+x+5=60\\5x=55\\x=11[/tex]
So,
Amount earned by Jim [tex]=\boldsymbol{\$ 11}[/tex]
Amount earned by Bill [tex]=3(11)[/tex] [tex]=\boldsymbol{\$ 33}[/tex]
Amount earned by Tom [tex]=11+5[/tex] [tex]=\boldsymbol{\$ 16}[/tex]
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please someone help me this is the third time i have had to post this question bc of bots
Answer: It,ll increase
Step-by-step explanation:
Answer:
Add all of the numbers together then multipy them by 25
Step-by-step explanation:
35X25=875
how do you convert a whole number to a fraction?
Answer:
Step-by-step explanation:
Example 1: Changing the whole number 5 into a fraction.
Take the whole number (5), add a line below it (/), then add a 1 to the denominator.
5 = 5/1
Example 2: Changing the whole number 5 into a fraction.
Take the whole number (5), multiply it by 2 add a line below it (/), then add a 2 to the denominator.
5 = (5*2)/2 = 10/2
***This can be reduced to 5/1***
Example 3: Changing the whole number 5 into a fraction.
Take the whole number (5), multiply it by 3 add a line below it (/), then add a 3 to the denominator.
5 = (5*3)/3 = 15/3
***This can also be reduced to 5/1***
If you follow the pattern, you will realize all whole numbers are fractions already.
They are fractions with a denominator of 1. This fraction can be manipulated with all of the same standard rules you would traditionally use with fractions, even when the denominator isn’t shown.
A fraction is simply a way to describe portions of a whole. The denominator simply tells you how many pieces to break the whole into. When the denominator is 1, you are breaking the whole into one piece (or not breaking it apart at all.
I hope this helps.
8. There are 18 trumpets in a music room. These trumpets will be placed in 3 equal rows. Which number sentence can be used to find the number of trumpets in each row?
Answer:
18÷3=6
Step-by-step explanation:
18 trumpets have to be DIVIDED into 3 rows so you would divide 18 by three to get 6 trumpets in each row.
Jamal wrote that 9 – 8.4 = 6.
9−8.4=6
0.6≠6
False
I don't know...
Answer:
0.6 his answer is false.
Step-by-step explanation:
...
Two mechanics worked on a car. The first mechanic charged $75 per hour, and the second mechanic charged $45 per hour. The mechanics worked for a
combined total of 25 hours, and together they charged a total of $1425. How long did each mechanic work?
Answer:
First mechanic 10 hours, Second is 15 hours
Step-by-step explanation:
x + y = 25, so y = 25 - x
75x + 45y = 1425
Substitute in the first equation
75x + 45(25 - x) = 1425
75x + 1125 - 45x = 1425
30x = 300
x = 10
Therefore, y = 15
Answer:
they both worked
8 hours
Enter the number that belongs in the green box
Answer:
9 because there the same length
Answer:
the measure of the seg CD is 9
Step-by-step explanation:
It is 9 because the shape is a parallelogram. One of the properties of a parall is that opposite sides are congruent which makes side BA equals side CD
HELp PLeaSE ‼️‼️URGENT
Find the equation of the line of best fit for the points (-4, 10).(-1, 5), (2, -1) (3, (5, --- 7). O
A. y = -2x + 2
B. y = 2x - 2
C. y = 2x - 0.98
D. y = -2x - 0.98
THANKS ^_^ ! ! !
solve each system of linear equations 3x+y=9, 7x+y=32
Answer:
x=23/4, y=-33/4
Step-by-step explanation:
3x+y=9
7x+y=32
3x+y=9
y=9-3x
7x+y=32
7x+(9-3x)=32
7x+9-3x=32
4x+9=32
4x=23
x=23/4
3x+y=9
3(23/4)+y=9
69/4+y=9
y=-33/4
The solution set to the given system of linear equations is -
{x} = 5.75 and {y} = - 8.25.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is a system of linear equations as -
3x + y = 9
7x + y = 32
We can write -
3x + y = 9
y = 9 - 3x
Now, we can write the equation as -
7x + y = 32
7x + 9 - 3x = 32
4x + 9 = 32
4x = 23
x = 5.75 .... (1)
The, we can write {x} as -
y = 9 - 3 x 5.75
y = 9 - 17.25
y = - 8.25 ... (2)
Therefore, the solution set to the given system of linear equations is -
{x} = 5.75 and {y} = - 8.25.
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ASAP ASAP!! HELP!! A supermarket needs to display 64 boxes of detergent.
The boxes need to be stacked with the same number of boxes in each row.
There should be at least 3 rows with at least 4 boxes in each row.
Choose the correct answers from the drop-down boxes to complete all the ways the boxes of detergent can be stacked.
Choose...
rows with 16 boxes in each row;
8 rows with
Choose...
boxes in each row;
16 rows with
Choose...
boxes in each row.
Answer:
Its the first one
Step-by-step explanation:
4x4=16 8x2=16 so its the first
These three lines should say:
4 rows with 16 boxes in each row
8 rows with 8 boxes in each row
16 rows with 4 boxes in each row
what percent of 75cm is 5cm
Answer:
6.67%
Step-by-step explanation:
5 / 75 = 0.066667
(0.066667)(100) = 6.67%
Pls help I’ll brainlest I’m failing
Step-by-step explanation:
why ? you have started it correctly already, as I can see by the margins you made on the graph.
you analyzed the problem correctly, approached the solution correctly and gathered all necessary data.
so, I am not sure, what your problem is.
if you don't know what a slope is, then I don't understand why you did what you did so far.
the slope is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
for these 2 points you marked, you also showed that
x changes by +2 (from 2 to 4).
y changes by +6 (from -4 to 2).
so, the slope is +6/+2 = 3.
that's it. that is all to it.
write me 2 equivalent fractions of 3/4=_=_
Answer:
6/8 and 12/16
Step-by-step explanation:
Important: 3/4 looks like a fraction, but it is actually an improper fraction.
There is an infinity number of equivalent fractions to 3/4. To find an equivalent fraction to 3/4 , or to any other fraction, you just need to multiply (or divide, if the fraction is not yet reduced), both the numerator and the denominator of the given fraction by any non-zero natural number. For example:
By multiplying the original fraction by 2, we get:
3x2/3x2=6/8
List of Equivalent Fractions of 3/4:
3/4, 6/8, 9/12, 12/16, 15/20, 18/24, 21/28, 24/32, 27/36, 30/40, 33/44, 36/48, 39/52, 42/56, 45/60, 48/64, 51/68, 54/72, 57/76, 60/80 ...
What is -6(-3+5r)=-5-7r
Answer:
r = 1
Step-by-step explanation:
Use the distributive property to multiply −6 by −3+5r.
18−30r=−5−7r
Add 7r to both sides.
18−30r+7r=−5
Add −30r and 7r to get −23r.
18−23r=−5
Subtract 18 from both sides.
−23r=−5−18
Subtract 18 from −5 to get −23.
−23r=−23
Divide both sides by −23.
r=−23/−23
Divide −23 by −23 to get 1.
r=1
The cost of a bag of fruits is proportional to the number of pounds. The cost for 1 ⅕ pound of fruit is $6.54. How much does a pound of fruits cost? Write an equation based on your answer.
From the computation done, the cost of the pound of fruits based on the information will be $5.45.
From the information given, it's stated that the cost of a bag of fruits is proportional to the number of pounds and that cost for 1 ⅕ pound of fruit is $6.54.
Therefore, to calculate the cost of a pound of fruit, this will be:
= 6.54 / 1 ⅕
= 6.54 / 1.2
= $5.45
Therefore, the pound of fruits cost $5.45.
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Solve x2 + 5x – 3 = 0 using the quadratic formula.
Solve (2x – 1)2 = 8 using the quadratic formula.
A) x = –1∕2 + , x = –1∕2 –
B) x = 1∕2 + , x = 1∕2 –
C) x = 1∕2
D) x = –1∕2
Answer:
d
Step-by-step explanation:
distribute two through the parentheses
=4x-2
move the constant to the right side and change its sign
=4x=8+2
=4x=10
divide both sides by 4
x=5/2
6/7 divided by 12/14 please show the work
Answer:
1
Step-by-step explanation:
When dividing one fraction by another, the best way to solve it is to multiply by the reciprocal. The reciprocal just flipping the fraction over. So you would leave the 6/7 and the multiply by 14/12( because you are multiplying by the reciprocal). When you do that, you then can just multiply the top and the bottom to form one fraction. The numerator is 6*14 = 84, and the denominator is 7*14 = 84. So you are left with 84/84 which anything over itself is equal to one.
Hope this helps!
Answer all of them plzz
Answer:
a) (2x+3) (x+4)
b) (5x-3) (x-1)
c) (-2x-3) (x-3)
d) 3(x-1) (3x-8)
e) -2(3x+5) (x-2)
f) h(4x-3) (3x-4)
g) -(x-3) (x+7)
h) (3x-2) (x+3)
i) 2(2x+1) (x-2)
j) (3h+2) (h-7)
Step-by-step explanation:
your welcome :)
Answer:
a)
(x+4)(2x+3)
b)
(x-2)(5x-3)
c)
(-x+3)(2x-3)
d)
3(x-1)(3x-8)
e)
2(-x+2)(3x+5)
f)
h(3x-4)(4x-3)
g)
(x+7)(-x+3)
h)
(x+3)(3x-2)
i)
2(x-2)(2x+1)
j)
(h-7)(3h+2)
Hope this helps!
40 in^2 to cm^2
Have to find the cm
Answer:
101.6cm²
Step-by-step explanation:
1 inch = 2.54cm
that means:
40in² × 2.54 = 101.6cm²
HELP ME OUT PLEASE!!!
Determine which graph shows y as a function of x.
16. Use the vertical line test to determine whether the relation is a function.
Answer:
neither of them are
Step-by-step explanation:
log, a Consider the graph of the function f 2- X O -2 2 4 6 8 10 -2 - What are the features of function gif g(t) = -|(r) - 1; oyintercept at (0,-1) X-intercept at (1,0) range of (-1,00) domain of (0, 0) vertical asymptote of g = 0
Answer:
X-intercept at (1/2 ,0)
domain of (0, infinity)
Vertical asymptote of x = 0
Step-by-step explanation:
Plato I got it right on the test
what's a real number?
Answer:
Real Numbers are numerical values that can represent distance on a line. An example of it being one is 15 and an example of it NOT being one is ∞.
You buy 3.9 pounds of trail mix. The mix
costs $2.78 per pound. What is the total
price for the trail mix?
Answer:
Answer:
28+66+86=180
180=180
Step-by-step explanation:
Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°
Write the equation
\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}
x+(2x+10)+(3x+2)=180
Simplify left side of the equation
\begin{gathered}6x+12=180\\\end{gathered}
6x+12=180
Solve equation for x
\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}
6x=180−12
6x=168
x=28
Replace x into the 3 angles and find their respectives values
\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}
A=x
A=28
B=2x+10
B=2∗28+10
B=56+10
B=66
C=3x+2
C=84+2
C=86
Check if the answers are correct
\begin{gathered}28+66+86=180\\180=180\end{gathered}
28+66+86=180
180=180
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someoneplease help me
GIVING BRAINLIST TO FIRST RIGHT ANSWER
A. (4,-2)
B. (0,1)
C. (1,0)
D. (-1,0)
Answer:
C (1,0)
Step-by-step explanation:
Answer:
C. (1,0)
Step-by-step explanation:
When you go 3 to the left, you end up at (0, -2). When you go up 2, you get (1,0).