Answer:
2625
Step-by-step:
Charles is planning on driving his car to the family reunion. The distance to
the meeting place is 1243 miles. If his car gets 30 mpg, how many gallons of
gas will he need?
A. 41.4
B. 51.4
C. 31.4
D. 21.4
Answer: 41.4
Step-by-step explanation:
1243/30=41.4
For example, Emily received a 67 on her first economics exam, which counts for 20% of her grade; an 84 on her second exam, which counts for 30% of her grade; and a 78 on her third exam, which counts for 50% of her grade. What is her weighted average in the class
Answer:
77.6
Step-by-step explanation:
Given the data:
Weighting :
First exam = 20% ; second exam = 30% ; third exam = 50%
Scores :
First exam = 67 ; second exam = 84 ; third exam = 78
Weighted Average :
Σ(Weight * Score)
Σ[(0.2 * 67) + (0.3 * 84) + (0.5 * 78)]
13.4 + 25.2 + 39
= 77.6
Based on the weights assigned to these grades, Emily's weighted average in the class would be 77.6 marks.
Emily's weighted average= ∑ (Percentage of grade x Score in exam)
Solving gives:
= (20% x 67) + ( 30 % x 84) + (50% x 78)
= 13.4 + 25.2 + 39
= 77.6
Emily's weighted average is 77.6 marks.
Find out more on weighted average at https://brainly.com/question/14432034.
Determine whether the function f(x) = -920 + 6 + 2 is even, odd or neither.
Answer:
Even
Step-by-step explanation:
The answer is -912 which is even because it ends with a 2.
I hope this helps. Your Welcome:)
First person to answer will get 100 points & Brainliest!
Answer:
heyyyyyy
Step-by-step explanation:
John read 1/3 of his book on the first day and 1/4 of the book on the second day. What fraction of the book does John have left to read?
Answer:
5/12
Step-by-step explanation:
The whole book is 1.
So This will be your equation.
1/3 + 1/4 = 1
4/12 +3/12 = 1
7/12 = 1
Now you minus 7/12 from 1
1-7/12 is how much is left
12/12-7/12= 5/12
The fraction that represents the book john has left to read is 5/12.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is that John read 1/3 of his book on the first day and 1/4 of the book on the second day.
Assume that the fraction that represents the book john has left to read is [x/y]. Then, we can write -
1/3 + 1/4 + x/y = 1
x/y = 1 - 7/12
x/y = 5/12
Therefore, the fraction that represents the book john has left to read is 5/12.
To solve more questions on Equation Modelling, visit the link below -
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Select the correct answer. Which graph represents this inequality? 3x+y<1
Answer:
the answer is c the one above d
Step-by-step explanation:
In ΔFGH, f = 83 inches, g = 11 inches and ∠H=60°. Find the length of h, to the nearest inch.
Answer: 78
Step-by-step explanation:
The length of h to the nearest inch is 78 inches.
What is Law of Cosines?Law of cosines of triangle states that for three length of sides of the triangle, a, b and c opposite to the angles A, B and C respectively can be related as,
a² = b² + c² - 2bc cos(A)
Given that, In ΔFGH,
f = 83 inches, g = 11 inches and ∠H = 60°.
Using the law of cosines,
h² = f² + g² - 2fg cos(H)
Substituting,
h² = 83² + 11² - (2 × 83 × 11) cos (60°)
= 7010 - (1826 × 1/2)
= 7010 - 913
= 6097
h = √6097 = 78.083 inches ≈ 78 inches
Hence the length of h is 78 inches.
Learn more about Law of Cosines here :
https://brainly.com/question/17289163
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Parallelogram PQRS is rotated 90° clockwise about the origin to create parallelogram P'QʻR'S'. Which rule describes this transformation? (Please leave a small explanation)
Oceanside Bike Rental Shop charges a 15 dollar fixed fee plus 9 dollars an hour for renting a bike. Dan paid 69 dollars to rent a bike. Which equation when solved would show how many hours the bike was rentented? Let h = hours
Answer:
Step-by-step explanation:
Dan paid 69 divided by 9 = H - 15
The coordinates of the vertices of △XYZ are X(−5, 5), Y(−3, −2), and Z(4, 0). The slope of XZ is __, the slope of YZ is __, and the slope of XY is __. △XYZ __ a right triangle because ____________.
-7/2 -5/9 -2/7 2/7 9/5 is is not no two of these slopes have a product of -1 two of these problems have a product of -1
Answer:
Slope of XZ = -5/9
Slope of YZ = 2/7
Slope of XY = -7/2
Step-by-step explanation:
Slope is expressed as;
m = y2-y1/x2-x1
For XZ
X(−5, 5), and Z(4, 0)
Slope of XZ = 0-5/4-(-5)
Slope of XZ = -5/4+5
Slope of XZ = -5/9
For YZ
Y(−3, −2), and Z(4, 0).
Slope of YZ = 0-(-2)/4-(-3)
Slope of YZ = 2/4+3
Slope of YZ = 2/7
For XY
X(−5, 5), Y(−3, −2)
Slope of XY = -2-5/-3-(-5)
Slope of XY = -7/-3+5
Slope of XY = -7/2
For two lines to be perpendicular, the product of their slope must be -1
Taking the product of XY and YZ
mXY * mYZ = -7/2 * 2/7
mXY * mYZ = -1
since the product of mXY and mYZ is -1. this shows that line XY is perpendicular to YZ and showing that the triangle XYZ is right triangle
A 8 − 4π
B. 8 - 8π
C. 4π − 8
D 8π − 8
E 16π - 8
Please tell me how to do this
Answer:
4.56637
17.13274
4.56637
17.13274
42.26548
Step-by-step explanation:
math
Add the two expressions.
−4.2x+3 and 2.5x−6
Is the graph proportional or nonproportional number of chores and age
Answer:
where is the graph??
Step-by-step explanation:
2.
The PE teacher is ordering equipment for the next school year. There are 156 students. She needs enough basketballs so that there is 1 basketball for every 12 students. How many basketballs does she need to order?
a.
312 basketballs
c. HELP PLSSSS
13 basketballs
b.
12 basketballs
d.
11
Answer:
13 basketballs
Step-by-step explanation:
What word describes the slopes of the line
Answer:
Positive
Step-by-step explanation:
There are a couple ways we can go about this.
First, we can see that as x increases, so does y, so that means its positive
For perspective, if x is the amount of time and y is the number of sales, we can see that the sales are going up and not going down or staying at the same place
If you wanna check your work on that, you can plot two points and find the slope using y1-y1/x1-x2 and the slope will be positive.
We can also use the process of elimination, we know it can't be zero because it's not a straight, horizontal line and we know its not undefined because it isn't a straight vertical line, so it's between negative and positive, and since the line is going up, that means that it's positive.
What is the difference between 3 more than 1/3 and 3
Answer:
Step-by-step explanation:
3 more than 1/3 represents 3 + 1/3 Which would equal 3 and 1/3 or 10/3. This is different than 3 since it equals 9/3. They don’t equal each other due to it being 3 added to 1/3
What decimal represents 1/4
Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9.955% annually. Which, if any, of the following loans meet Melanie’s criteria?
Loan A: 9.265% nominal rate, compounded weekly
Loan B: 9.442% nominal rate, compounded monthly
Loan C: 9.719% nominal rate, compounded quarterly
a.
B only
b.
A and C
c.
A and B
d.
None of these fit Melanie’s criteria.
Answer:
The correct answer is C.
Step-by-step explanation:
Giving the following information:
Loan A: 9.265% nominal rate, compounded weekly
Loan B: 9.442% nominal rate, compounded monthly
Loan C: 9.719% nominal rate, compounded quarterly
To calculate the effective annual rate, we need to use the following formula:
Effective annual rate= [(1+i)^n] - 1
Loan A:
i= 0.09265/52= 0.001782
Effective annual rate= [(1.001782^52) - 1]
Effective annual rate= 0.097 = 9.7%
Loan B:
i= 0.09442/12= 0.007868
Effective annual rate= [(1.007868^12) - 1]
Effective annual rate= 0.0986 = 9.86%
Loan C:
i= 0.09719/4= 0.02439
Effective annual rate= [(1.02439^4) - 1]
Effective annual rate= 10.11%
Answer:
c
Step-by-step explanation:
Select the equation that is true.
6,714 ÷ 103 = 6.714
6,714 ÷ 103 = 67.14
6,714 ÷ 103 = 671.4
6,714 ÷ 103 = 6,714
Answer: None of the choices is correct.
6,714÷103 is about 65.184
Step-by-step explanation:
The closest answer is the second choice. But there must be a typo in the question.
6,714÷100 = 67.14
I hope this helps. You might be able to ask your teacher about the mistake in the question.
At the gym, Jasper was able to bench press 224 pounds, which was StartFraction 7 over 8 EndFraction of the weight that Balin was able to bench press. Which shows the correct equation and value of x, the weight that Balin could bench press
Answer:
Balin could bench press 256 pounds.
Step-by-step explanation:
Jasper was able to bench press 224 pounds, which is 7/8 of x, which is the weight that Balin was able to bench press. So, mathematically:
[tex]\frac{7}{8}x = 224[/tex]
[tex]7x = 224*8[/tex]
[tex]x = \frac{224*8}{7} = 256[/tex]
Balin could bench press 256 pounds.
Answer:
d
Step-by-step explanation:
the height of a shed is 6cm. a ladder leans agaisnt the shed with its base 4.5 m away, and its top just reaching the roof. what is the length of the ladder?
Answer:
4.5m
Step-by-step explanation:
The set up is a right angles triangle
Height of the shed = opposite side = 6cm
Distance of the ladder from the shed = adjacent = 4.5m
Lenght of the ladder = Hypotenuse = x
Using pythegoras theorem to find the length of the ladder
hyp² = opp²+adj²
hyp² = 0.06² + 4.5²
hyp²= 0.0036+20.25
hyp² = 20.2536
hyp = √20.2536
hyp = 4.50m
Hence the length of the ladder is 4.5m
Jodie bought a refrigerator on sale for 35% off the original price, for $97. What was the price of the refrigerator before the sale?
$97 = (Original Price) - (35% of Original Price)
$97 = (Original Price) - (0.35 of Original Price)
$97 = (1 - 0.35) of (Original Price)
$97 = (0.65) of (Original Price)
$97 = 0.65 · (Original Price)
Divide each side by 0.65 .
$97/0.65 = Original Price
$149.23 = Original Price
The Corner Cafe recently served 8 pastries, including 4 blueberry scones. Considering this data, how many of the next 18 pastries served should you expect to be blueberry scones? blueberry scones
Answer:
9
Step-by-step explanation:
because half of the 8 pastries served were blueberry. so you would divide 18 by 2
2x + 4y − 6z = 44
x + 2y + 3z = −2
3x − 4y + 4z = −16
(x, y, z) =
Answer:
x,y,z=4,3,-4
Step-by-step explanation:
2x+4y-6x=44 = x+2y-3z=22
x+2y-3z=22
x+2y+3z=-2
x+2y-3z=22
3x-4y+4z=-16
x+2y-3z=22 ------>
2x+4y=20
x+2y+3z=-2 ------>
x+2y-3z=22 ------>
13x-4y=40
3x-4y+4z=-16 ------->
2x+4y=20
13x-4y=40
y=3
x=4
4+2x3-3z=22
z=-4
(x,y,z)=(4,3,-4)
2x4+4x3-6x(-4)=44
4+2x3+3x(-4)=-2
44=44
-2=-2
-16=-16
(x,y,z)=(4,3,-4)
I am so sorry if it is incorrect I tried :<
3x+8=35 Show your work
Answer:
x=9
Step-by-step explanation:
So first subtract 8 on both Sides
3x+8-8=35-8
3x=27
Now divide 3 on both sides to isolate the variable x
x=9
So x=9
Answer:
so to do this you need to subtract 8 from 35 to get 27 now do 27 divide by 3 to get 9
3x+8=35
3x=35 - 8 = 27
3x = 27
3x divided by 27 = 9
Step-by-step explanation:
-8x-6 pls holpp :((((
Answer:
The answer is 48.
Step-by-step explanation:
None.
solve the literal equation
6/p=x+a for p
Find the slope and the y-intercept of the line.
y=-2
5
Ex+6
slope:
.
08
Х
$
y-intercept: 0
Answer:
Slope = -⁵/2
y-intercept = 6
Step-by-step explanation:
The equation, [tex] y = -\frac{5}{2}x + 6 [/tex], is given in the slope-intercept form, y = mx + b
Where:
m = slope
b = y-intercept
Therefore:
Slope of the equation = -⁵/2
y-intercept if the equation = 6
The graph of a system of linear equations with the same slope and the same y-intercepts will have no solutions.
Always
Sometimes
Never
Answer:
Never
Step-by-step explanation:
If two equations have the same slopes and the same y-intercepts they are equivalent to each other
Here's why:
The formula for a linear equation is y= mx +b
b= y- intercept
m= slope
m and b are only variable that have to be replaced by a number for the equation to be complete
Therefore, when m and b (or the slope and the y-intercept) of both equations are the same, the two equations are the same
The answer would be allrealnumbers, not nosolutions
Hope this helps!!!
plz help need this! pic in bottom!
Answer:
Step-by-step explanation:
13d + 8 = -1
subtract 8 from both sides
13d = -9
d = -9/13
either keep it in fraction form or if you divide it out it is -0.6923