Answer:
4320 miles
Step-by-step explanation:
distance= speed× time
60 ×72= 4320
A set of 6 art books costs $241.25. A copy of one of the books, bought separately, costs $38.25. About how much less is the cost of the 6 books if you buy the set?
The cost of the 6 books if you buy the set is $11.75 less.
The given parameters:
Total number of books, n = 6Cost of the books, c = $241.25Cost of one book, = $38.25The total cost of the 6 books when bought separately is calculated as follows;
Cost = 6 x $38.25
Cost = $229.5
The difference in price is calculated as follows;
= $241.25 - $229.5
= $11.75
Thus, the cost of the 6 books if you buy the set is $11.75 less.
Learn more about cost price here: https://brainly.com/question/19104371
there were 8000 people at a festival. people bought their tickets online, by phone, or in person.based on a random sample of people at the festival, 60% bought their tickets online, 15% bought their tickets by phone, and the rest bought their tickets in person
Answer:
People who bought tickets = 100%
= 8000
People who bought their tickets in person = (100%-60%-15%) × 8000
= 2000
The number of tickets sold online is 4800, by phone is 1200, and in person is 2000.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that there were 8000 people at the festival. people bought their tickets online, by phone, or in person. based on a random sample of people at the festival, 60% bought their tickets online, and 15% bought their tickets by phone.
The number of the tickets will be calculated as below:-
Total tickets = 8000
Online tickets = 60% of 8000 = 8000 x 0.6 = 4800
By phone = 15% of 8000 = 8000 x 0.15 = 1200
In-person = 25% x 8000 = 0.25 x 89000 = 2000
Therefore, the number of tickets sold online is 4800, by phone is 1200, and in person is 2000.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ2
PLEASE HELP!
Determine the value of X.
Answer:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Step-by-step explanation:
Answer the following questions. Make sure to show all your work.
1. In each case below, show if the point given is a solution to the system of
equations.
a.)
Point (-0.8,-0.6)
Equation 1 - y = 2x + 1
Equation 2 - y = -3x - 3
b.)
Equation 1 - x + y = 3
Equation 2 - y + 2 / 2 = x
POINT - (1/3, 2)
PLZ HELP ME
a) Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of equations
b) since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of equation
In order to show if the given point corresponds to the given function, we will have to substitute the value of x into the function to see if we will have its corresponding y-value
For the point (-0.8, -0.6), substitute x = -0.8 into both functions as shown:
f(x) = 2x + 1
f(-0.8) = 2(-0.8) + 1
f(-0.8) = -1.6 + 1
f(-0.8) = -0.6
Simiarly;
y = -3(-0.8)- 3
y = 2.4 - 3
y = -0.6
Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of equations
For the point (1/3, 2), substitute x = 1/3 into both functions as shown:
x = (y+2)/2
x = (2+2)/2
x = 4/2
x = 2
Simiarly;
x + 2 = 3
x = 3-2
x = 1
Since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of equations
Learn more on systems of equation here: https://brainly.com/question/847634
Prove that the equation x^2+px-1=0 for every p has two different solutions
Answer:
To prove: The equation x2+px−1=0 has real and distinct roots for all real values of p.
Consider x2+px−1=0
Discriminant D=p2−4(1)(−1)=p2+4
We know p2≥0 for all values of p
⇒p2+4≥0 (since 4>0)
Therefore D≥0
Hence the equation x2+px−1=0 has real and distinct roots for all real values of p
What is the area of the parallelogram?
Answer:
24cm
Step-by-step explanation:
because 6 x 4 = 24 centimeters
using the letters from the word equation, how many 5-letter patterns can be formed in which q isfollowed immediately by u?
Using the arrangements formula, it is found that there are 720 words that can be formed.
The number of possible arrangements of n elements is the factorial of n, that is:
[tex]A_n = n![/tex]
In this problem:
The non-qu letters of the word equation will be arranged in 5 positions.The "qu" can be positioned in 6 ways(letters 1-2 to letters 6-7), hence:[tex]T = 6 \times 5! = 6! = 720[/tex]
There are 720 words that can be formed.
To learn more about the arrangements formula, you can take a look at https://brainly.com/question/24648661
I need help PLEASE ILL GIVE YOU BRAINLEST
Answer:
y= 0.75x + -0.50
A or B is what im guessing
HELP HURRY PLS
What is the equation of this line?
A. y= 3/2x -2
B. y=2x+2/3
C. y=2/3x-2
D. y= -2x+3/2
Answer:
The answer is C, y = 2/3x -2
Step-by-step explanation:
Use the rise over run strategy on linear functions such as this one
8 less than the sum of 6 and a number
Answer:
(6 + n) - 8
Hope this helps.
Pls mark brainliest. :D
Answer:x < 2
Step-by-step explanation: 6+x < 8
x < (8-6)
x < 2
help finals study guide please I want to just go on break
Step-by-step explanation:
(note: I'm only answering the ones I know vs giving you wrong answers for the others!)
1. ROS=Obtuse (larger then ninty degrees)
2. octagon has 8 angles (octo means eight, after all!)
3. If a figure has three sides, it is a triagle (not positive on this one)
4. symmetric property of congruence (this one's a simple search :p )
5. N/A (although I believe its angle BEC=124 degrees, as every other choice Is proven to be true)
6. congruent complements theorem (this is because we are given that 3 is a suppliment of 4. we are also given that 2=4. Based on this, then 1=3 is congruent based on 1 being suppliment of 2, 2=4, and 3 being a suppliment of 4)
7. N/A
8. N/A (the picture is too fuzzy for me to make any ideas)
I'm sorry I couldn't solve them all, but I hope this at least gets you somewhere! Have a great day!
HELP ME PLEASE
(NO LINKS PLEASE FOR REAL NO LINKS PLEASE)
1. A student and a teacher work together to make toy cars. The student made 2/7 of the total toy cars, 21 less than the teacher. How many toy cars are there?
The total number of cars both the student and the teacher made is 49
let
total cars = x
cars made by student = s
cars made by teacher = t
Total = student + teacher
x = s + t
s = 2/7x
So,
x = 2/7x + t
x - 2/7x = t
t = (7x - 2x) / 7
t = 5/7x
Similarly,
s = t - 21
s = 5/7x - 21
equate both s equation
2/7x = 5/7x - 21
2/7x - 5/7x = -21
(2x - 5x) / 7 = -21
- 3/7x = -21
x = -21 ÷ -3/7
= -21 × - 7/3
= (-21 × -7) / 3
= 147/3
x = 49
Therefore, the total number of cars both the student and the teacher made is 49
Learn more about fractions:
https://brainly.com/question/11562149
If no denominator equals zero, which expression is equivalent to ? A. B. C. D.
The expression [tex]\rm \dfrac{15}{x-6}+\dfrac{7}{x+6}[/tex] is equivalent to [tex]\dfrac{22x+48}{x^2-36}\\\\[/tex] and it can be determined by using LCM and fraction.
Given that,Expression;[tex]\rm \dfrac{15}{x-6}+\dfrac{7}{x+6}[/tex]
If no denominator equals zero,
We have to determine,Which expression is equivalent to the given expression?
According to the question,Expression;
[tex]\rm \dfrac{15}{x-6}+\dfrac{7}{x+6}[/tex]
If no denominator equals zero,
To determine the equivalent relation of the given equation following all the steps given below.
Step1; First take the LCM,[tex]\rm= \dfrac{15}{x-6}+\dfrac{7}{x+6}\\\\=\dfrac{15(x+6) + 7(x-6)}{(x-6) (x+6)}[/tex]
Step2; Multiply the terms and simplify the equation,[tex]\rm=\dfrac{15(x+6) + 7(x-6)}{(x-6) (x+6)}\\\\= \dfrac{15x+90 + 7x-42}{x(x+6) -6 (x+6)}\\\\= \dfrac{22x+48}{x^2+6x -6 x-36}\\\\= \dfrac{22x+48}{x^2-36}\\\\[/tex]
Hence, The expression [tex]\rm \dfrac{15}{x-6}+\dfrac{7}{x+6}[/tex] is equivalent to [tex]\dfrac{22x+48}{x^2-36}\\\\[/tex] .
For more details about Expression refer to the link given below.
https://brainly.com/question/14610993
Sophia drew a scale drawing of the elementary school. The scale of the drawing was 1 centimeter : 4 meters. The schoolyard is 52 meters wide in real life. How wide is the schoolyard in the drawing
Answer:
13 cm
Step-by-step explanation:
The scale of the drawing was 1 centimeter : 4 meters.
x cm : 52 m Divide by 4
13 cm : 52 m
Please help I don't know how to do this
Answer:
(a) (2x +7), (x -4)
(b) (-7/2, 0), (4, 0)
Step-by-step explanation:
(a)When looking for integer factors of a quadratic of the for ax² +bx +c = 0, it is useful to start by looking for factor pairs whose product is a·c and whose sum is b.
Here, that means you're examining the factors of 2·(-28) = -56, and looking for a pair that have a sum of -1. We can start by examining the ways that -56 can be factored:
-56 = -56(1) = -28(2) = -14(4) = -8(7)
Sums of these factor pairs are -55, -26, -10, -1, so it is the last pair we're interested in.
At this point, you can rewrite the x-term using these factors and then factor the quadratic by pairs.
2x² -8x +7x -28 = 0 . . . . . . . use -x = -8x+7x
(2x² -8x) +(7x -28) = 0 . . . . group into pairs of terms
2x(x -4) +7(x -4) = 0 . . . . . . factor each pair of terms
(2x +7)(x -4) = 0 . . . . . . . . . the factored equation
The factors of this equation are (2x +7) and (x -4).
__
(b)The x-intercepts are the values of x that make the factors zero.
2x +7 = 0 . . . looking for x that makes the first factor zero
2x = -7 . . . . . subtract 7
x = -7/2 . . . . divide by the coefficient of x
__
x -4 = 0 . . . . looking for x that makes the second factor zero
x = 4 . . . . . . add 4
The x-intercepts are x = -7/2 and x = 4.
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{QUESTIONS:}[/tex]
3. Given this quadratic equation, 2x²-x-28= 0.
(a) List the factors of this equation.
(b) Determine the x-intercepts
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{ANSWER:}[/tex]
(a) (x-4) and (2x+7)
(b) x=4 and x=-7/2
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{SOLUTION:}[/tex]
2x²-x-28=02x²+7x-8x-28=02x²-8x+7-28=02x(x-4)+7(x-4)=0(x-4)(2x+7)=0x-4= 0 or 2x+7=0x=4 or 2x=-7x=4 or x= -7/2[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
#CarryOnlearning
y + 4= -6
Find the slope and the Y-intercept of the graph of this equation
=
The line y = 4x + 3 crosses the y-axis at A.
1) What is the coordinates of point A?
Answer:
A(0,3)
Step-by-step explanation:
the line crosses y-axis so its x-coordinates must be zero,
so we subistitute by x=0 in the equation of the line, from this we get y=3
then the coordinates of point A will be (0,3)
"flower, heart, circle." what is The 35th shape is
Answer:
heart
Step-by-step explanation:
Answer:
heart
Step-by-step explanation:
The 36th shape will be the last shape in the 12th repeat of the sequence.
The 35th shape is next-to-last: heart.
Which equation best fits the graphed data?
6+
4+
2+
+X
-6
-4
- 2
2
6
N
-2+
.
.
-4
-6+
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Compare the values.
9 x 10^2 is
?
times as much as 3 x 10^-2.
Answer:
Hopefully this explains o_O, also Merry Christmas!
Step-by-step explanation:
9 x 10^2 = 9 x 100 = 900
3 x 10^-2 = 3 x 1/100 = 0.03
Ratio of 900:0.03
The first one is 30000 bigger than the second
Write an equation of the line that passes through (0,5.2) and (-1.5,1).
y=
Answer:
Step-by-step explanation:
Given:
y1 = 5.2
y2 = 1
x1 = 0
x2 = -1.5
Solution:
m = ( y2 - y1 ) / ( x2 - x1 )
m = ( 1 - 5.2 ) / ( -1.5 - 0 )
m = -4.2 / -1.5
m = 2.8
then
y - y1 = m ( x - x1 )
y - 5.2 = 2.8 ( x - 0 )
y - 5.2 = 2.8x - 0
y = 2.8x + 5.2
Last month, an investor's stock portfolio was worth $46,950. The value of the stock portfolio fell by $2,388.50 each week for 4 weeks. What is the value of the stock portfolio at the end of the 4 weeks?
Answer:
$37,396
Step-by-step explanation:
take 2388.5x4 since there are 4 weeks = $9554
then you subtrct since the portfolio fell.
So $46,950-9554 = $37,396
will mark brainleist
Answer:
Figure a) 2
figure b) 4
figure c) 5
Step-by-step explanation:
can someone help me with this
Answer: i think you should label it with numbers first
maybe??
Step-by-step explanation:
A 3-gallon jug of water costs $16.80. What is the price per cup?
Answer:
$0.35
Step-by-step explanation:
A gallon is equal to 16 cups, so the 3-gallon jug is equal to 48 cups. You when then divide $16.80 by 48, to get $0.35 or the price per cup! Hope this helps :)
Answer:
0.35
Step-by-step explanation:
how many solutions are there for 2x−5=8x+7−6x
Answer:62
Step-by-step explanation:
2 times 5=10-5=5
8 times 7=56+7= 63-6=57+5=62!
No solution. hope this helps
a store pays $60 for the shoes and sells them for $90. What is the percent markup
please help meeee, thank youuuu
Answer:
45
Step-by-step explanation:
I think so i dont know
Answer:
45
Step-by-step explanation:
Just do the regular number sequence (1-44) but add 1 since this specific sequence starts with 2.
Hope this helped! ^^7.098/09.977x979.97878
Answer:
697.19248074 is the answer
Robby took his dog to the pet grooming store. The service costs $30. He tips the groomer 25%.
How much in total does the groomer get?
CAN SOMEONE SHOW ME HOW TO DO THE WORK?
Answer: $37.50
Step-by-step explanation:
You multiply the $30 by the percentage tip so 25% in this case, first make it a decimal that would be 0.25. 30*.25=7.50 then you add the 7.50 to the 30 which is gives you the $37.50
Answer:
$37.50
Step-by-step explanation:
25% of 30 is 7.50 $7.50+$30=$37.50