At a college bookstore, Tanisha bought a Math Textbook and a Novel for $54. If the price of the Math Textbook is $8 more than 3 times the price of the Novel, then how much is the price of each book?
Answer: Price of Math Textbook= $42.5, Price of the Novel= $11.5
Step-by-step explanation:
Let x = price of the Novel.
Price of Math Textbook = 8+3x
As per given , we have
Price of Math Textbook + Price of the Novel = $54
⇒ 8+3x+x = 54
⇒ 8+4x=54
⇒ 4x = 46 [subtract 8 from both sides]
⇒ x = 11.5
Price of Math Textbook = 8+3(11.5) = 8+34.5= $42.5
Hence, Price of Math Textbook= $42.5, Price of the Novel= $11.5
Determine if the pair of lines are parallel perpendicular or intersecting
Answer:
1. y= 2/3x + 4, and y = 2/3x - 1 are parallel
2. y = 1/3x - 3 and y = 2x + 5 are perpendicular
3. y =2/5x +4 and y = 0.2x - 1 are intersecting
4. y = -x + 13 and y = x-14 are perpendicular
Step-by-step explanation:
The equation of lines are solved and parallel lines are
a) y = 2/3x + 4 , y = ( 2/3 )x - 1
Perpendicular lines , y = -( 1/2 )x - 3 , y = 2x + 5
Intersecting lines
a) y = ( 2/5 )x + 4 , y = 0.2x - 1
b) y = -x + 13 , y = x - 14
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
y = 2/3x + 4 , y = ( 2/3 )x - 1
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = 2/3
So , the slopes of the two lines are same and they are parallel lines
And , y = -( 1/2 )x - 3 , y = 2x + 5
The slopes are negative reciprocals of each other , so they are perpendicular lines
Now , the intersecting lines are a) y = ( 2/5 )x + 4 , y = 0.2x - 1
b) y = -x + 13 , y = x - 14
Hence , the equation of line is solved
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tom started his hike at 2:15pm. he arrived at his destination at 4:30pm. how long did he hike??
Answer:2:15 minutes is how long he hiked
Step-by-step explanation:
Answer: 2 hours and 15 minutes
Step-by-step explanation:
Please helpppp !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!
Answer:
6.3
Step-by-step explanation:
7squared - 3squared
49-9= 40
square root of 40 = 6.3
Parallel lines r and s are cut by two transversals, parallel lines t and u.
How many angles are alternate interior angles with angle 9?
Answer:
2
Step-by-step explanation:
Alejandro uses the steps below to convert StartFraction 5 over 8 EndFraction to a percent. Five-eighths right arrow 8.0 divided by 5 = 1.6. 1.6 = 160 percent. Which best explains Alejandro’s error? The division was computed incorrectly. The division was completed in the incorrect order. The decimal was moved to the right too many times. The decimal was moved to the right instead of the left.
Answer:
A
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
If f(x) = 3x + 2, what is f(5)?
Answer:
f(5)=3(5)+2 = 17
Step-by-step explanation:
Plz help me out I’m so confused
Answer:
b
Step-by-step explanation:
Answer:
The correct answer would be the second option y-2=1/3(x-3)
Find the measure of <1
Consider the triangle (in which angle4 is present)
by angle sum property,
20 + 40 + angle4 = 180
60 + angle4 = 180
angle4 = 180 - 60
angle4 = 120
Also,
angle2 = 120 (vertically opposite angles)
angle1 + angle2 = 180 (linear pair)
angle1 + 120 = 180
angle1 = 180 - 120
angle1 = 60
aaaaaaaaaaaaaaaaaaaaahhhhhhhhhhhhhhhhh help
Answer:
x = 27
STEP BY STEP:
3 = x/9
3 = x/3 x 2
9 x 3 = x
27 = x
x = 27
Hope this helped! Have a good day!
The Dubois family has $5000 set aside for an upcoming vacation in the family plans to spend 1/4 of this amount on gasoline for the drive and motel rooms along the way and 1/2 of the remainder on meals how much does the Dubois family spend on meal
Answer:
$1875
Step-by-step explanation:
Money available with Dubois family = $5000
Money to be spent on gasoline and motel room = [tex]\frac{1}{4}[/tex] of the total amount
Therefore,
Money to be spent on gasoline and motel room = [tex]\frac{1}{4} \times 5000 = \$1250[/tex]
Remaining amount of money = Total amount - Money spent on gasoline and motel room
Remaining amount of money = $5000 - $1250 = $3750
As per question statement:
Half of the remaining money is to be spent on meals.
i.e. Money to be spent on meals = [tex]\frac{1}{2}\times \$3750 = \bold{\$1875}[/tex]
Therefore, the answer is:
$1875
Your family goes out for dinner on Sunday night. If the total bill came out to $175 but your parents had a 20% off coupon. How much will the entire meal cost if you also must pay 8% sales tax and a 18% tip?
Answer:
Step-by-step explanation:
175-20%= 35 off
175-35=140
140*8% tax= 11.20 tax
140+11.20= 151.20
151.20*18% tip= 27.216
151.20+27.22=178.42 total
if f(x)=9x-2 find the value of expression f(5)
Answer:
f(x)=43
Step-by-step explanation:
you put the 5 in the places where the x is so
F(5)=9(5)-2
45-2=43
A company makes steel rods shaped like cylinders. Each rod has a radius of 2 centimeters and height of 70 centimeters. How much steel will the company need to make 243 rods? Use 3.14 for pie, and round your answer to one decimal
Answer:
213,645.6cm³
Step-by-step explanation:
Area of a cylinder is expressed as;
V = πr²h
r is the radius = 2cm
h is the height = 70cm
Get the volume of one rod;
V = πr²h
V = (3.14)(2)²(70)
V = (3.14)(4)(70)
V = 879.2cm³
one steel = 879.2cm³
243 rods = x
Cross multiply;
x = 879.2 * 243
x = 213,645.6
The company will need 213,645.6cm³ volume of steel to make 243 rods
Which scenario could be represented by this graph?
Answer:
its is (b) turns the oven on
Answer:
D
Step-by-step explanation:
I did the test
One ninth of the students in Mr. Beck’s class list red as their favorite color. Twice as many students call blue their favorite, and three times as many students prefer pink. The rest name green as their favorite color. If 6 students call blue their favorite color, how many students are in Mr. Beck’s class?
Answer:
27
Step-by-step explanation:
this is because 6 students is 2/9th of the class and if we divide that by two we get 3. 3 is 1/9th od the class so we multiply it by 9 to get 27 which is how many students should be in his class if i am right
can someone please help me with this whole page asap !!!
Abdul buys dress pants from a clothing Company for P dollars he sells each pair of pants in his men's clothing shop at 40% markup select all the expressions below represent the new retail price of a pair of dress pants
Answer:
$P + 0.4P or 1.4P
Step-by-step explanation:
Given that:
Cost of dress pants = $P
Markup on cost price = 40%
The new retail price of a pair of dress pant :
(Cost price of the dress pant + markup on cost price)
$P + 40% of P
$P + 0.4P
New retail price = $P + 0.4P = 1.4P
Somebody help me.. Make sure it's right.
I am the one who commented on your question "Who's good at Math", I am the locrival one to be specific but for me, the answer would be the first choice which is the "f(x)=400+15(x-40)". The first choice is my answer because if you compute it the equivalent is 13.3, it is also my answer because for all the choices, it is the only one positive.
Brainliest? Thanks!Click on photo if neccessary
A recipe for pizza dough calls for 3 teaspoons of salt for every 4 cups of flour how many teaspoons of salt will be needed for 28 cups of flour.
Please show a tape diagram for this too
a rectangle has vertices (0,0), (2k,0) and (0,k) find the fourth vertex
If a rectangle has vertices (0,0), (2k,0), and (0,k) the fourth vertex will be (4,8).
What is a rectangle?It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
It is given that the rectangle has vertices (0,0), (2k,0), and (0,k).
A(0,0)
B(2k,0)
C(0,k)
D(x,y)
Since the opposite of the rectangle is the same it will be opposite to one of the coordinates shown in the graph.
To uniquely identify points on a plane, use ordered pairs and the rectangular coordinate system (x,y). Pairs that are ordered show position in relation to the origin.
The x-coordinate shows the left and right sides of the origin. Y-coordinate positions are above or below the origin.
Thus, if a rectangle has vertices (0,0), (2k,0), and (0,k) the fourth vertex will be (4,8).
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Work out the value of x! Will award brainiest
Answer:
X=67.5
Step-by-step explanation:
90+X +3x =360
4x=360-90
X=270/4=67.5
Raju took 5/6 h to complete his mathematics homework. He took 1/5 h less to complete his english homework. how many hours did raju take to complete his english homework? what was the total time spent by raju on his homework?
Answer:
English homework = 19/30h or 38 minutes
Total time spent = 22/15h or 88 minutes
Step-by-step explanation:
Mathematics homework = 5/6h
= 5/6 × 60
= 300/6
= 50 minutes
He took 1/5 h less to complete his english homework.
English = 5/6h - 1/5h
= 25h-6h/30
= 19/30h
= 19/30 × 60
= 1,140/30
= 38 minutes
English homework = 19/30h or 38 minutes
Total time spent on his homework = mathematics homework + English homework
= 5/6h + 19/30h
= 25h+19h/30
= 44/30h
= 22/15h
= 22/15 × 60
= 1,320 / 15
= 88 minutes
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Answer:
y=2x-1
Step-by-step explanation;
First step you have to do is get you desmos graphing calculator
input the equation- 1/2x+4 when you put it you get your line
from there you have to find one of the equations from the answer choices which one is parallel from there input your four answer choices on your graphing calculator then look which of the equations is parallel to the equation -1/2x+4 when you do that you get y=2x-1
Hope this helps :)
Please help me I need an answer fast
what is the slope of the 2 points (10,15) (6,23)
Answer:
The slope is -2.
Step-by-step explanation:
m=y2-y1/x2-x1 (also, y1-y2/x1-x2 is also true.)
=23-15/6-10 m=15-23/10-6
= 8/-4 =-8/4
=4/-2 =-4/2
= 2/-1 =-2/1
m=-2 m=-2
"The output is 5 less than twice the input
Answer:
x=2x-5
Im pretty sure that's it
Determine the slope of each line.
1.
ТУ
2.
8
ty
8
115,7)
4
(6,5)
4
Х
0
-4
-8
0
-8
4 8
(
2-2)
4
-
-4, -3)
-8
S
Answer:
The slope of the given line is -4
Step-by-step explanation:
The formula of the slope of a line passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]
In the given figure
∵ The line passes through the points (-6, 5) and (-4, -3)
∴ x1 = -6 and y1 = 5
∴ x2 = -4 and y2 = -3
→ Substitute them in the formula of the slope above
∵ m = [tex]\frac{-3-5}{-4--6}[/tex]
∴ m = [tex]\frac{-8}{-4+6}[/tex]
∴ m = [tex]\frac{-8}{2}[/tex]
∴ m = -4
∴ The slope of the given line is -4
find the answer and when you find it you get 10 point.
Answer:
5
Step-by-step explanation: