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
In an experiment, the variable that is manipulated is called the?
Measurement variable
Explanatory variable
Response variable
Confounding variable
Answer:
Explanatory Variable is the right answer it is the variaable being manipulated and observed.
Step-by-step explanation:
If you earn $13/hour and you work 2 hours overtime at a rate of time and a half, how much will you earn for each hour of overtime?
Answer:
32.50
Step-by-step explanation:
It is simple. You need to know the basics of money, fractions, and well... Math! :)
if you take 13 and multiply it by 2 you get 26
Take the 26 and put it aside -------------> 26
divide 13 in half. that would be 6.50
6.50 + 6.50 = 13
Now get the 26 --------------------------> 26
and add 6.50 to 26.
That would be 32.50!
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Estimate 5,860÷2.1≈
i really need help on it.
Answer: it 2790
Step-by-step explanation:
The value of 5,860÷2.1 is 2790.
What is division?
In easy phrases, the division may be described because of the splitting of a massive institution into smaller companies such that every institution may have the same number of items. it's far an operation used for identical grouping and the same sharing in math.
What are the terminologies used in the division?dividend, divisor, quotient remainder.Learn more about division here: https://brainly.com/question/25289437
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The original price of a ski jacket was $220. It was on sale at a 25% discount. Arianna had a coupon for an additional 10% off the sale price.
What price did Arianna pay for the ski jacket?
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!
Write an equation for the line with slope -5 and point (2,4).
"The output is 5 less than twice the input
Answer:
x=2x-5
Im pretty sure that's it
which expression is equivalent to the given expression? 3x^2+5x-7(x^2+4)
Answer:
-(4 x^2 - 5 x + 28)
-4 x^2 + 5 x - 28
-1\/16 (8 x - 5)^2 - 423\/16
Step-by-step explanation:
any of these equations are equal to 3x^2+5x-7(x^2+4)
The equivalent expression is -4 x² + 5 x - 28.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given:
3x²+5x-7(x²+4)
Now,
-(4 x² - 5 x + 28)
-4 x² + 5 x - 28
-1\/16 (8 x - 5)² - 423\/16
Hence, the equivalent expression is -4 x² + 5 x - 28.
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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
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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need rn! please help, thx :)
Answer:
square root 8
Step-by-step explanation:
trust bro
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
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
how are ASA and AAS used to show that triangles are congruent?
Answer:
If two pairs of corresponding angles and the side between them are known to be congruent, the triangles are congruent. This shortcut is known as angle-side-angle (ASA). Another shortcut is angle-angle-side (AAS), where two pairs of angles and the non-included side are known to be congruent.
In ASA, two angles and one common side is equal and in AAS one not common side and two angles are equal.
What is triangle?Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes is represented by the symbol and consists of three connected vertices.
The ASA congruence means, there will be two corresponding angles and one side between them will be equal, then the triangles are congruent.
The AAS congruence means, there will be two corresponding angles and one side excluded from them will be equal, then the triangles are congruent.
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1
Which fraction is equivalent to 7?
ool
CON
3
24
4
24
Answer:
its 4/24 :)))))))))))))))))
how many does this have
Need help please!!!!!
Answer:
0 or 5/12
Step-by-step explanation:
with everything subtracted its 0 but with only subtracting 1/6 its 5/12
(umm can anyone help me please) I’ll give brainlist <3
Answer:
12
Step-by-step explanation:
8 times 1.5
If f(x) = 3x + 2, what is f(5)?
Answer:
f(5)=3(5)+2 = 17
Step-by-step explanation:
Click on photo if neccessary
What are the coordinates of the x-
intercept of the line in the graph
shown below?
Help me plssss Which inequality is represented by the graph below? Check all that apply.
O x>9
O x<9
O any rational number greater than or including 9
O any rational number less than or including 9 O any rational number greater than 9
O any rational number less than 9
Answer:
B
Step-by-step explanation:
im sorry if its wrong, but it's an open circle and the values that the arrow is including are less than 9.
Answer: 2,4,5
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:
a new pair of shoes for 60% off. what expression represents the total cost
Answer:
What was the origainal price?
Step-by-step explanation:
Given the function
f(x)=-1/2(1-x)^2,
find f(-5).
Answer:
f(x)= -1/2(1-x)^2
replacing x with -5 since -5 was given as the function
f(-5)=-1/2(1-5)^2
according to bodmas we solve what is in the bracket first
f(-5)=-1/2(-4)^2
f(-5)=-1/2(16)
-1/2*16/1
-16/2=-8
find the answer and when you find it you get 10 point.
Answer:
5
Step-by-step explanation:
can someone please help me with this whole page asap !!!
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)
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