Answer:
A.
Step-by-step explanation:
She would receive $11.67
A is the correct math
Helppop!!A car and van are driving on a highway. The table shows the amount y (in gallons) of gas in the cars gas tank after driving x miles. The amount of gas in the van’s gas tank after driving x miles is represented by the equation y=- 1/5x + 31. Which vehicle uses less gasoline per mile? How many miles must the vehicles travel for the amount of gas in each tank to be the same?
Answer:
The car uses less gas
They use the same amount of gas after [tex]\frac{640}{7}[/tex] miles
Step-by-step explanation:
Given
The table represents the car mileage
[tex]y = -\frac{1}{5}x + 31[/tex] --- The van
First, calculate the car's slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the table, we have:
[tex](x_1,y_1) = (60,13.5);\ \ (x_2,y_2) = (180,10.5)[/tex]
So, we have:
[tex]m = \frac{10.5 - 13.5}{180 - 60}[/tex]
[tex]m = \frac{-3}{120}[/tex]
[tex]m = -\frac{1}{40}[/tex]
Calculate the equation using:
[tex]y = -\frac{1}{40}(x - 60)+13.5[/tex]
[tex]y = -\frac{1}{40}x + 1.5+13.5[/tex]
[tex]y = -\frac{1}{40}x + 15[/tex]
[tex]m = -\frac{1}{40}[/tex] implies that for every mile traveled, the car uses 1/40 gallon of gas
Also:
[tex]y = -\frac{1}{5}x + 31[/tex] --- The van
By comparison to: [tex]y = mx + b[/tex]
[tex]m = -\frac{1}{5}[/tex]
This implies that for every mile traveled, the van uses 1/5 gallon of gas.
By comparison:
[tex]1/40 < 1/5[/tex]
This means that the car uses less gas
Solving (b): Distance traveled for them to use the same amount of gas.
We have:
[tex]y = -\frac{1}{5}x + 31[/tex] --- The van
[tex]y = -\frac{1}{40}x + 15[/tex] --- The car
Equate both
[tex]-\frac{1}{5}x + 31 =-\frac{1}{40}x + 15[/tex]
Collect like terms
[tex]\frac{1}{40}x -\frac{1}{5}x =-31 + 15[/tex]
[tex]\frac{1}{40}x -\frac{1}{5}x =-16[/tex]
Take LCM
[tex]\frac{x - 8x}{40} = -16[/tex]
[tex]\frac{- 7x}{40} = -16[/tex]
Solve for -7x
[tex]-7x = -640[/tex]
Solve for x
[tex]x = \frac{640}{7}[/tex]
Each side of a square is (7 + 3x) units. Which is the perimeter of the square?
Answer:
28 + 12xStep-by-step explanation:
Given,
Sides of a square is = 7 + 3x
Therefore,
Perimeter of a square = 4 × side
= 4 × (7 + 3x )
= 28 + 12x (Ans)
Please help me i need help
Answer:
H
E
A
R
T
S
Step-by-step explanation:
easy
PLEASE HELP !!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT !!
Answer:
-2 and 0
Step-by-step explanation:
EZ
Use the method of least squares to solve the following problem.
Given the data set below, find the line of best fit? Then find the y-value for when x=7. Yes, there are supposed to be
two 6's.
Х
1
2
4
5
6
6
8
9
Y
14
10
12
8
9
6
3
4
(2+5i)+(-3-4i) what is the answer to this question?
Answer:
-1+i
Step-by-step explanation:
(2+5i)+(-3-4i)
=(2-3)+i(5-4)
=-1+i
Answer:
[tex]−1+i[/tex]
Step-by-step explanation:
[tex](2+5i)+(−3−4i)[/tex]
[tex]2+5i−3−4i[/tex]
[tex]−1+5i−4i[/tex]
[tex]−1+i[/tex]
Hope it is helpful.....please help picture included
Match the verbal expression (term) with its algebraic expression (definition). Match Term Definition Some number A) a = 2 increased by two A variable decreased B) b + 2 by two Product of an C) y2 unknown value and two D) X - 2 Quotient of some number and two An unknown value E) 22 squared
9514 1404 393
Answer:
B, D, E, A, C
Step-by-step explanation:
The main idea here is to use your English comprehension skill to determine the meaning of the phrase, then use your math understanding to write it in symbols. Turning off your brain at the sight of a "word problem" will not be productive.
The wording "some number" or "a variable" or "unknown value" all refer to a variable, typically represented by a single letter. Letters commonly use are {a, b, c, x, y, z}, but variables are not restricted to that set (nor to single letters, nor lower case letters).
In most cases, the math expression is a direct translation of the English expression using the usual math symbols. Values are generally increased by addition, decreased by subtraction, squared using an exponent of 2. A product is the result of multiplication, and a quotient is the result of division.
Top-to-bottom, the boxes on the left will be filled with B, D, E, A, C.
If JK is formed by J(-7,-8) & K(1,4), determine if L(-9,5), lies on the perpendicular bisector.
Part A: What elements do you you need to know to confirm that Point L is on the perpendicular bisector of JK?
Part B: Find the elements you described in Part A , explain your work.
Part C: Verify if Point L is on the perpendicular bisector of JK. Justify your conclusion.
Answer:
Following are the responses to the given question:
Step-by-step explanation:
For point a:
Bisector Theorem: When a point has been on the perpendicular bisector of a segment, the perpendicular bisector is equivalent towards the segment endpoints. They understand that conversation also valid in addition to the Theorem including its perpendicular bisector. So the distance b/w L and J, L, and k must be found. Examine it then.
For point b:
Calculating the distance among two point:
[tex]d_0 = \sqrt{(x_1-x_2)^2 +(y_1-y_2)^2}[/tex]
Calculating the distance among J and L
[tex]d_1 = \sqrt{((-9)-(-7))^2 + (5)-(-8))^2}[/tex]
[tex]=\sqrt{(-2)^2+(13)^2}\\\\ = \sqrt{173}[/tex]
Calculating the distance among K and L
[tex]d_2 = \sqrt{((-9)-(1))^2 + (5)-(4))^2}[/tex]
[tex]=\sqrt{(10)^2+(1)^2}\\ = \sqrt{101}[/tex]
For point c:
As these two distances are not equal, L doesn't really lie on the JK bisector.
What is the midpoint of a line segment with endpoints at (-1,-1) and (3,3)?
Find the distance between the points ( 19,-5) and ( 11, 10).
Answer:
Let the given two points be A & B. Let A ( 19 , - 5 ) be ( x₁ , y₁ ) & B ( 11 , 10 ) be ( x₂ , y₂ ) Remember : The formula to find out the distance between any two points is [tex] \tt{ \sqrt{( x_{2} -x _{1}) ^{2} + (y _{2} - y_{1}) ^{2} }} [/tex] .[tex] \large{ \tt{✺ \: SOLUTION}} : [/tex]
[tex] \large{ \boxed{ \tt{AB = \sqrt{(x_{2} - x_{1} ) ^{2} + (y_{2} - y_{1}) ^{2} } }}}[/tex]
[tex] \large{ \tt{⟶ \sqrt{(11 - 19)^{2} + (10 - ( - 5) ^{2} } }}[/tex]
[tex] \large{ \tt{⟶ \sqrt{ {8}^{2} + {15}^{2} } }}[/tex]
[tex] \large{ \tt{⟶ \: \sqrt{64 + 225} }}[/tex]
[tex] \large{ \tt{⟶ \sqrt{289}}} [/tex]
[tex] \boxed{ \large{ \tt{⟶ \: 17 \: \text{units}}}}[/tex]
And we're done! Let me know if you have any questions regarding my answer :)▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
simplify 2p/3 ×5p/12
Answer:
After simplify answer will be :[tex]\frac{5p}{18}[/tex]
Step-by-step explanation:
Given data:
[tex]\frac{2p}{3} *\frac{5p}{12}[/tex]
Now,
[tex]\frac{10p}{36}[/tex]
Final answer would be :
[tex]\frac{10p}{36}=\frac{5p}{18}[/tex]
Write an equation of a line that passes through the point (7, 3) and is parallel to the line y = - ⅔ x + 3. (10 points)
A. y = 3 over 2x − 3
B. y = 3 over 2x + 3
C. y = -2 over 3 x + 23 over 3
D. y = -2 over 3 x - 23 over 3
Answer:
below
Step-by-step explanation:
that is the procedure above
Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a king and then, without replacement, a face card? Express your answer as a fraction or a decimal number rounded to four decimal places
Answer:
0.0181 probability of choosing a king and then, without replacement, a face card.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of choosing a king:
There are four kings on a standard deck of 52 cards, so:
[tex]P(A) = \frac{4}{52} = \frac{1}{13}[/tex]
Probability of choosing a face card, considering the previous card was a king.
12 face cards out of 51. So
[tex]P(B|A) = \frac{12}{51}[/tex]
What is the probability of choosing a king and then, without replacement, a face card?
[tex]P(A \cap B) = P(A)P(B|A) = \frac{1}{13} \times \frac{12}{51} = \frac{1*12}{13*51} = 0.0181[/tex]
0.0181 probability of choosing a king and then, without replacement, a face card.
I need help with this fast
Answer:
1. positive
2. No
(for number 3, I'm not sure if my answer to it is going to be correct)
Step-by-step explanation:
1. the dots look like they are going up
2. there are no outlying dots that look unusual
An earthquake with a rating of 6.5 is
considered a major earthquake that can
cause damage over a large area.
Answer:
it is not considered a major earthquake, for it to be considered a major earthquake it has to have a rating of 8.0 or higher
How do you do?????????
Answer:
Where is the full questions?
pls answer! Dylan spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 6400 feet.
Dylan initially measures an angle of elevation of 16° to the plane at point A. At some
later time, he measures an angle of elevation of 36° to the plane at point B. Find the
distance the plane traveled from point A to point B. Round your answer to the
nearest foot if necessary.
Answer:
13510 ft
Step-by-step explanation:
I have attached a triangle diagram to depict this situation.
From the diagram, we see that distance between A and B is denoted by x.
Now, from trigonometric ratios in this type of triangle, let's first find y.
6400/y = tan 36
y = 6400/tan 36
y = 8808.84 ft
Now, we can find x from;
6400/(8808.84 + x) = tan 16
6400/tan 16 = 8808.84 + x
22319.452 = 8808.84 + x
x = 22319.452 - 8808.84
x ≈ 13510 ft
The distance the plane traveled from point A to point B is 13510 ft
Calculation of the distance:Here we assume the distance between A and B should be x.
Now the y value should be
[tex]6400\div y = tan 36\\\\y = 6400\div tan 36[/tex]
y = 8808.84 ft
Now, we can find x
[tex]6400\div (8808.84 + x) = tan\ 16\\\\6400\div tan\ 16 = 8808.84 + x[/tex]
22319.452 = 8808.84 + x
x = 22319.452 - 8808.84
x ≈ 13510 ft
Learn more about distance here: https://brainly.com/question/785292
Please quickly need this before 30 mimutes
Answer:
x = 4.48
Step-by-step explanation:
read the picture
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Answer:
~~~~~~~~~~~~~~~~~~~~~~~~~.~~~~~~~~~~~~~~~~~~~~~~~~~
Step-by-step explanation:
Write the product in its simplest form : 6c • (-7c^6)
Answer:
Step-by-step explanation:
(-7*6)(c*c^6) = -42c^7
(05.06 MC)
Choose the function to match the graph.
-6
5
3
3
2.
1
-2
0
2.
3
4
5
6
-1
-21
9514 1404 393
Answer:
(b) f(x) = log(x) +4
Step-by-step explanation:
The x-intercept of any log function is (1, 0). The graph here has been shifted 4 units up from that, so is a graph of ...
f(x) = log(x) +4
Do u know this question
Answer:
a rectangle
Step-by-step explanation:
because 2 sides are the same the other 2 arent it has four sides with straight angles
Answer:
B.
Step-by-step explanation:
Help help help help
answer: 116⁰
z⁰ for y⁰ because it's
equal
Please help me! I will give you Brainlist if you get it right!
Answer:
B
Step-by-step explanation:
Have a nice day
Answer:
B as well
Step-by-step explanation:
As you can work out the area of rectangle by l ×w
which is 18×36 =648
and you can also work out the area of a segment which is
[tex]\pi \times {r}^{2} \div 2[/tex]
so pi ×18^2÷2 and then add 648 you get 1156.9.
Csikszentmihalyi & Figurski (1982) conducted a study to determine the degree to which people find out about themselves through the process of introspection (thinking about themselves). They gave people beepers and asked them to write down what they were thinking about when the beepers went off randomly throughout the day. The results indicated that:
Answer:
We think about ourselves way less than we think 8% of the time.
Step-by-step explanation:
In a self-awareness: introspection research study conducted by Mihaly Csikszentmihalyi and Thomas Figurski in 1982, to determine the degree to which people find out about themselves through the process of introspection (thinking about themselves).
The research involved an arrangement where participants were given beepers and asked to write down what they were thinking about when the beepers went off randomly throughout the day. The results indicated that "We think about ourselves way less than we think 8% of the time."
Compute 7,953,000 / 1000.
Answer:
The answer is 7,953.
Step-by-step explanation :
When you divide like this you are basically being asked how many times something can go into something else. In this case, we are being asked to calculate how many times 1000 can go into 7,953,000. You can use basic math skills or do long division.
I'm going to go with the easier way, basic math skills.
There are three 0's in the back of the number 7,953,000, and notice 1000 has three 0's as well in the back. When you divide those three 0's in the back of both numbers basically cancel out. Well, what does that leave us with?
7953 is what were left with. The answer is 7,953.
3x+2y=4 and -2x+2y=24
Answer:
1x= 28
y= v7vub8b9nf7v6v
find the additive inverse and multiplicative inverse of a 5
Answer:
ans: additive inverse is -5
multiplicative inverse is 1/5
Step-by-step explanation:
adding what value to 5 makes it 0 i.e
5 + (- 5)= 0 ( so additive inverse is -5)
multiplying what value to 5 makes it 1 i.e
5×( 1/5)=1 ( so multiplicative inverse is 1/5)
Which of these would be the opposite of a progressive tax?
Answer:
b
Step-by-step explanation:
the perimeter of a rectangular painting is 304 CM. If the width of the paint is 63 cm what is the length
Answer:
The PERIMETER P is the distance around the rectangle.
Let's call the width of the rectangle W and the length of the rectangle L.
As you go around the edge there two equal lengths and two equal widths.
The formula for the perimeter of a rectangle is P=2*L+2*W.
P=2L%2B2W
Substitute 290 for P and 62 for the width.
290=2L%2B2%2862%29
Solve for L.
290=2L%2B2%2862%29
290=2L%2B124
290-124=2L
2L=166
L=83
The equation L=83 means that the length is 83 cm.
CHECK your work.
2(62)+2(83) = 124+166 = 290cm.
The length of the rectangle is 83cm.
