Answer:
On the highway, the cost to drive per mile is $2.21
Step-by-step explanation:
In the city the average distance per gallon is 15 miles
On the highway, he can drive 47% farther;
The distance he can cover on the highway per gallon will be;
15 + 47% of 15
= 15 + 0.47(15)
= 15 + 7.05 = 22.05
So on the highway, he can travel a distance of 22.05 miles
So the cost per mile on the highway would be;
$3.25 for 15 miles
$x for 22.05 miles
so we have the cost to drive per mile on the highway as;
(3.25 * 15)/22.05 = $2.21
Two angles of a triangle measure 55° and 20° What is the measure of the third angle of the triangle?
Jennifer and Joshua meet for dinner at a restaurant. After dinner, Joshua drives 15 miles south while Jennifer drives 12 miles west. How far apart are they when they stop? Round to the nearest tenth of a mile if necessary.
Answer:
19.209 miles from each other.
Step-by-step explanation:
[tex]{a}^{2} + {b}^{2} = {c}^{2} [/tex]
Using this we get:
[tex] {15}^{2} + {12}^{2} = {x}^{2} [/tex]
[tex]225 + 144 = 369 = {x}^{2} [/tex]
[tex] \sqrt{369 } = 19.209[/tex]
(ii) factorize 9x^2 - y^2 + 4y - 4
Answer:
(3x - y + 2)(3x + y - 2).
Step-by-step explanation:
9x^2 - y^2 + 4y - 4
= 9x^2 - (y^2 - 4y + 4)
= 9x^2 - (y - 2)^2
= (3x - (y - 2))(3x + (y - 2)
= (3x - y + 2)(3x + y - 2).
Alexis needs to buy 300 sheets of paper. The office store sells construction paper in the following packages
which of the following is the least expensive way for alexis to buy 300 sheets of paper
GIVING BRAINLIEST
Answer: i think it is 45.2
Step-by-step explanation:
Match each vocabulary word to the picture.
A - Linear Pair
B - Vertical Angles
C - Angle Bisector
D - Parallel Lines
E - Ortho Center
F - Centroid
Answer:
p1 = F
p2 = D
p3 = B
p4 = A
p5 = E
p6 = C
Step-by-step explanation:
The following are matched.
P4 - Linear Pair
P3 - Vertical Angles
P6 - Angle Bisector
P2 - Parallel Lines
P5 - Ortho Center
P1 - Centroid
What is a triangle?
It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
P1.
It is the centroid of the triangle.
P2.
AB and CD are parallel lines.
P3.
∠AEB and ∠CED are vertical angles.
P4.
∠AEB and ∠AEC sum is 180.
It is a linear pair.
P5.
Point P is the orthocenter.
P6.
ABC and CBD are angle bisector.
Thus,
P4 - A
P3 - B
P6 - C
P2 - D
P5 - E
P1 - F
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PLEASE HELP I'LL GIVE BRAINLIEST URGENT
In a scale drawing of a car, 2 centimeters represents 7 inches.
In the scale drawing, the length of the car is 41 centimeters. What is the length of the real car? If necessary, round your answer to the nearest tenth.
Answer:
287 inches so rounding its 290 inches
Randy saves money using an account which earns interest over the course of several years. Which statement is true?
Answer:
Step-by-step explanation:
What are the options?
Answer:
C. The value of money increases over time.
Step-by-step explanation:
Randy saves money using an account which earns interest over the course of several years. Which statement is true?
A.
The future value of his account is equal to the present value.
B.
The present value of money in his account is greater than the future value.
C.
The value of money in his account remains constant over time.
D.
The value of money in his account increases over time.
The slope of the line is m=3/4. One point is (x, 2) and (3,-4)
Find X
Answer:
x is 11
Step-by-step explanation:
We know the slope (3/4) and a point (3,-4), so we can use point-slope form (y-y1=m(x-x1)
Substitute the numbers into the equation
y--4=3/4(x-3)
simplify
y+4=3/4(x-3)
do the distributive property
y+4=3/4x-9/4
subtract 4 from both sides
y=3/4x-25/4
this is the equation of the line.
Since it says that (x,2) is a point in the equation, we can substitute it into the equation
2=3/4x-25/4
add 25/4 to both sides
33/4=3/4x
multiply by 4/3
11=x
we can double check by plugging (11,2) into the equation of the line.
2=3/4(11)-25/4
2=33/4-25/4
2=2
it works! :)
Hope this helps!
Which of the following of appropriate units of measure to use when finding the mass of a pencil?
a. kilograms
b. meters
c. Grams
d. centimeter
Answer:
Grams
Step-by-step explanation:
Mass is the amount of matter present inside a solid. Kilograms and grams are the units to measure mass of an object.
For pencil, the unit to measure its mass is grams. As its mass is less, we can use smaller unit.
Hence, the correct option is (c) "grams"
Help Please!
Find the ratio (red to blue) of the perimeters of the similar triangles. Write your answer in simplest form.
Find the probability of getting a numbered card when a card is drawn from the pack of 52 cards.
Answer:
[tex]\frac{9}{13}[/tex]
Step-by-step explanation:
1. the formula is: p=(number_of_numbered_cards)/(total_number_of_cards);
2. the number of total numbers of the cards is 52 (according to the condition); the number of the numbered cards is:
4*(10-2+1)=36 (min is '2'; max is '10').
3. after the substitution:
p=36/52=9/13≈0.692
Which description best fits the graph?
Answer:
decreasing, then increasing
Answer:
always increasing
Step-by-step explanation:
i did the iready lesson
How many different phone numbers are possible in the area code 503, if the first number cannot start with a 0 or 1
Answer:
8 X 10^(9)
Step-by-step explanation:
Originally we have 10 digit phone numbers excluding the area code.
For each face value we have these in store: 0,1,2,3,4,5,6,7,8,9 (total 10)
But if we exclude 1 and 0 for the first digit, we are left with 8 digits.
8P1 X .......
In a phone number, digits can repeat so we can choose out of these 10 numbers freely after this.
8P1 X 10P1 X 10P1 X...
Adding the area code while assuming 10P1 is just 10...we get:
1 X 1 X 1 X 8 X 10^(9)
= 8000000000
Very interesting question, thanks for the opportunity!
The number of different phone numbers in the area code 503, if the first number cannot start with a 0 or 1 should be considered as the [tex]8 \times 10^{(9)}[/tex]
Calculation of the number of different phone numbers:Since
we have 10 digit phone numbers that does not include the area code.
So,
For each face value we have these in store:
0,1,2,3,4,5,6,7,8,9 (total 10)
Now
if we exclude 1 and 0 for the first digit, So it left with 8 digits.
So, it be like
8P1 X .......
Likewise
8P1 X 10P1 X 10P1 X...
Now if add this,
1 X 1 X 1 X 8 X 10^(9)
= 8000000000
hence, The number of different phone numbers are possible in the area code 503, if the first number cannot start with a 0 or 1 should be considered as the [tex]8 \times 10^{(9)}[/tex]
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Please Help answer has much as you can
the circle below is centered at the point 8.4 and has a radius of length 4 what is its equation
Answer:
16
Step-by-step explanation:
(x-8)^2 + (y-4)^2= 16
A printer need to make a poster that will have a total poster area of 200 in^2 and will have 1 inch margins on the sides, a 2-inch margins on both the top and the bottom. What dimensions will give the largest printed area?
Answer:
The dimensions that will give the largest printed area of 132.1669 in^2 are
= Length x Width
= 15.20829 * 8.69045
Step-by-step explanation:
a) Data and Calculations:
Total poster area = 200 in^2
Side margins = 1 inch each
Top and bottom margins = 2 inches each
Let x = length of the full poster
then 200/x = width of the full poster
Therefore, the length of the printed area = x - 3.5
and the width of the printed area = (200/x)-2
Therefore, the Area of the Printed space = (x-3.5)((200/x)-2)
Solving for the Area (A) of the printed space, we have
A = (x-3.5)(-200/x2) + ((200/x)-2)
A = 700 -2x2
If the derivative is set to 0, we have:
0 = 700 -2x2
700 = 2x2
350 = x2
x = 18.70829 The original length
width = 10.69045
Therefore, the area of space available for printing is
15.20829 * 8.69045
= 132.1669 in^2
It’s estimated that 800 people would attend the play, but 752 people actually attend.
What is the percent error, to the nearest percent, of the estimate? Enter the answer in the box.
*has blank box* percent error
Answer:
6
Step-by-step explanation:
752/800=0.94
0.94x100=94
100-94=6
The percent error, to the nearest percent, of the estimate is 6%
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
We need to Write the percent as a fraction in simplest form
16.24%
So, we can rewrite it as;
16.24 / 100
16 and 24/100 or 16 6/25
So the percent as a fraction is 16 6/25
Given:
Expected value = 800
Actual value = 752
Now, Percent error
Computation;
Percent error = [(Actual value - Expected value)/Expected value]100
= [(800 -752) / 800]100
= 6%
Therefore, the percentage error will be 6%
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Hello can you help me the question is:write two equivalent fractions?
Answer:
Step-by-step explanation:
1)8/12=12/18
2)12/20=18/30
3)4/16=6/24
Liana is making muffins.she uses 2 cups to make 12 muffins. How much flour is needed for each muffin
Solution is in image
Answer:
6 cups
Step-by-step explanation:
Whit is (1/4x + 3/4x + -1/2x) + 1 + -2/3) =
Answer:
[tex]\dfrac{x}{2}+\dfrac{1}{3}[/tex]
Step-by-step explanation:
We need to find the value of [tex]((\dfrac{1}{4}x+\dfrac{3}{4}x-\dfrac{1}{2}x)+1+(\dfrac{-2}{3}))[/tex]
We can solve it as follows :
[tex]((\dfrac{1}{4}x+\dfrac{3}{4}x-\dfrac{1}{2}x)+1+(\dfrac{-2}{3}))\\\\=(\dfrac{x+3x-2x}{4})+1-\dfrac{2}{3}\\\\=\dfrac{2x}{4}+\dfrac{1}{3}\\\\=\dfrac{x}{2}+\dfrac{1}{3}[/tex]
Hence, the value of [tex]((\dfrac{1}{4}x+\dfrac{3}{4}x-\dfrac{1}{2}x)+1+(\dfrac{-2}{3}))[/tex] is equal to [tex]\dfrac{x}{2}+\dfrac{1}{3}[/tex].
In the figure, ABCD
Answer:
<AEB and <CED are congruent by vertical angles theorem.
Step-by-step explanation:
Given that AB and CD are parallel bro each other, and two straight lines intersect at E, therefore, <AEB and <CED that are formed are congruent to each other because they are vertical opposite angles.
Thus, the answer would be:
<AEB and <CED are congruent by vertical angles theorem.
..................Hot Cheetos...................
Answer:
I like lots of chips!
Step-by-step explanation:
What two words describe the result set of a FULL OUTER JOIN minus the INNER JOIN result set in set theory parlance
Answer:
CROSS JOIN (/^\s*symmetric\s*difference\s*$/)
Step-by-step explanation:
Remember, in SQL (Structured Query Language) operations, we can use the CROSS JOIN function to take data from one row of a table in the database and join it with each row of another table.
In other words, the result of FULL OUTER JOIN minus the INNER JOIN of the data set would require a CROSS JOIN operation which would the two different rows into one row.
Find the inverse of the Function
[tex]f(x)=\sqrt[3]{\frac{x}{9} } -4[/tex]
9514 1404 393
Answer:
D
Step-by-step explanation:
Solve x = f(y) for y.
x = ∛(y/9) -4
x +4 = ∛(y/9) . . . . . add 4
(x +4)³ = y/9 .. . . . . cube
9(x +4)³ = y . . . . . . multiply by 9
The inverse function is ...
f⁻¹(x) = 9(x +4)³ . . . . . matches the last choice
In which order would the following numbers come from least to greatest?
3/4, 0.5, 2/3, -7/3, 1.2
Answer:
-7/3, 0.5, 2/3, 3/4, 1.2 valued least to greatest
Step-by-step explanation:
-7/3 is negative then 0.5 then 2/3 is .6666 as a decimal then 3/4 which is .75 as a decimal and then 1.2
what is the equation of a line that passes through the points -3,5 and has the slope of zero
Answer:
All lines with zero slope is a horizontal line.
y=mx+c slope is m. If m were zero, any x value substituted in would make y=(0)x+c, y=c.
Sub in the values 5=(0)(-3)+c, c would then be 5. So the equation would be y=5.
The following is known about three numbers: If the second number is subtracted from the sum of the first number and 3 times the third number, the result is 2. The third number plus 3 times the first number is -1. The first number plus 3 times the second number plus the third number is -16. Find the sum of the three numbers.
Answer:
-6
Step-by-step explanation:
Let the first, second and third number be x, y and z respectively.
We are told that the second number is subtracted from the sum of the first number and 3 times the third number, the result is 2.
Thus;
(x + 3z) - y = 2 - - - (eq 1)
The third number plus 3 times the first number is -1.
Thus;
z + 3x = -1 - - - (eq 2)
The first number plus 3 times the second number plus the third number is -16.
Thus;
x + 3y + z = -16 - - - (eq 3)
From eq 2, we can rearrange to get;
z = -1 - 3x
Putting -1 - 3x for z in eq(1) and (eq 3),we have;
(x + 3(-1 - 3x)) - y = 2
x -3 - 9x - y = 2
-8x - y = 2 + 3
-8x - y = 5
y = -5 - 8x
Putting y = -5 - 8x and z = -1 - 3x into eq(3), we have;
x + 3(-5 - 8x) + (-1 - 3x) = -16
x - 15 - 24x - 1 - 3x = -16
-26x - 16 = -16
-26x = 16 + 16
x = 0
Since y = -5 - 8x, then y = -5 - 8(0)
y = - 5
Also, since z = -1 - 3x, then;
z = -1 - 3(0)
z = -1
The sum of the three numbers are;
x + y + z = 0 + (-5) + (-1) = -6
don't exactly understand how to solve this equation
Please help me fast
You don’t need to explain just send the answer
Answer:
70.5 it is the answer. I hope I am helpful please mark brainlist
Help me please give brainlyest
Answer:
the correct order is 0, then 1/13 then 49/100 then 1/2 then 11/20 then 8/9 and the greatest is 1
Step-by-step explanation: