Answer:
Equal.
Step-by-step explanation:
The volume of the rectangular prism is:
V = length x width x height
V = 3a x 2b x c
V = 6abc
The volume of the pyramid is:
V = (base area x height)/3
V = (a x b x 18c)/3
V = 18abc/3
V = 6abc
The two volumes are equal.
Plzzzzzz answer fast I need help
Answer:2,3,4
Step-by-step explanation:
Write a rule for the linear function in the graph
(0, 1) , (5, 3)
Answer: x = 5, y = 2
Step-by-step explanation
x = 0, x = 5
5 - 0 = 5
y = 1, y = 3
3 - 1 = 2
Use factoring to solve. *
x^2-4x-12=0
please only give me the right answer I really need it
Answer:
(6, -2)
Step-by-step explanation:
x^2-4x-12=0. 1 from 1x. -4 from -4x
(x - 6)(x + 2) = 0 1 * -12 = -12. -4
x - 6 = 0 -6 * 2 = -12. -6 + 2 = -4
+ 6 +6
x = 6
x + 2 = 0
-2. -2
x = -2
Please help?
1: The x-intercepts of a quadratic function are -3 and 5. What is the equation of its axis of symmetry?
#2: The solutions to a quadratic equation are x = 2 or x = -3. What are the x-intercepts of the related quadratic function?
Answer:
see explanation
Step-by-step explanation:
(1)
The axis of symmetry is situated midway between the x- intercepts, thus
x = [tex]\frac{-3+5}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1
Equation of axis of symmetry is x = 1 → d
-----------------------------------------------------
(2)
The x- intercepts of a quadratic are the solutions, thus
x = 2 and x = - 3 → b
the cost to rent skis at a local sporting goods store is $15 plus $20 per day. which equation models the relationship between the total cost to rent, c, and the length of the rental in days, d ?
Answer:
c = 20d + 15
Step-by-step explanation:
answer choices may help if the answer is not one of the choices; but here is the answer that it should be:
20 dollars per day is 20 times the length of rental.
15 is a cost that is added and does not change.
c = the total cost therefore:
c = 20d + 15
Reid's Hardware discounts all riding lawnmowers 6% to customers paying in cash. If Trey paid $1,278.75 in cash for a riding lawnmower, then what was the original price of the lawnmower?
Answer:
$ 1360.37
Step-by-step explanation:
Suppose we call the original price of the lawnmower x.
That means, to get a discount, the equation would be,
x * 1 - x * 6% = 1278.75
= (94/100) * x = 1278.75
= (47/50) * x = 1278.75
x = 1278.75 * 47 / 50
= 1360.37
Please answer !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer & Step-by-step explanation:
[tex]\frac{1}{4}(x+5)^2-1=3[/tex]
Add 1 to both sides.
[tex]\frac{1}{4}(x+5)^2=4[/tex]
Multiply both sides by 4.
[tex](x+5)^2=16[/tex]
Take the square root of both sides.
[tex]\sqrt{(x+5)^2} =\sqrt{16}[/tex]
[tex]x+5=4[/tex]
Subtract 5 from both sides.
[tex]x=-1[/tex]
is (1,8) a solution of the equation 3x + 5 = y ?
A True
B False
Answer:
A.
Step-by-step explanation:
Plug it in:
3 + 5 = 8
TRUE
Let f(x) = 4x3 + 3x2 − 20x − 15 and g(x) = 4x + 3. Find f of x over g of x.
x2 − 5
4x2 + x
x2 − 5x
4x2 + 12
Answer:
not B
Step-by-step explanation:
I took the test
Jada is solving the equation shown below.
Negative one-half (x + 4) = 6
Which is a possible first step to begin to simplify the equation? Select two options.
Divide both sides of the equation by –2.
Subtract 4 from both sides of the equation.
Multiply both sides of the equation by –2.
Distribute –2 over (x + 4).
Distribute Negative one-half over (x + 4).
Answer:
Distribute -1/2 over (x - 4)
Divide both sides of the equation by -2
The first step to begin to simplify the equation is to multiply both sides of the equation by -2
To find the first step to simplify the equation.
Given:The given equation
=-1/2(x + 4) = 6
Simplification:First, we will multiply both sides of the equation by -2
we get,
x + 4 = -12
x = -12-4 = -16
Hence, the value of x is -16.
Therefore, the first step is to multiply both sides of the equation by -2.
To learn how to find the first step to simplify the equation, refer:
https://brainly.com/question/4411741#SPJ2
Divide 40 kg in the ratio 3:2.
Answer:
24:16
Step-by-step explanation:
to find 1 part = 40/5 (you add the total of the ratio: 3+2)
so 8 and then times 8 by 3 and 8 by 2 to get the parts
Answer:
24 and 16
Step-by-step explanation:
First find the number of parts: 3+2 = 5.
then, divide 40 by 5 to find how much is available for each part. This way, you get 8.
Then to find the value for each section of the ration, multiply eight by the corresponding side.
8 x 3 = 24
8 x 2 = 16
Hope this helps.
Please mark brainiest
One number is 5 more than twice another and their sum is 23.
Which of the following system of equations represents the word problem?
y= 2( x + 5) and x + y= 23
x + y = 23 and y= 2 x + 5
y=x+ 5 and y + 2(x+5) = 23
Answer:
x + y = 23 and y= 2 x + 5
Step-by-step explanation:
The number is 5 more than twice another so 2x + 5 = y
The two numbers have a sum of 23 so x + y = 23.
Please state the like terms in each group:
a) 4w,5w^2, 5z, x^2, -x, 3w, 3v
b) 4x^2, -3x^2, 4z, 2y, y^2, 4w
i will give the brainliest to whoever answers correctly:))
a) 4w and 3w
b) 4x^2 and -3x^2 and y^2
Answer:
a ) 4w and 3w
b ) 4x^2 and - 3x^2
Step-by-step explanation:
Like terms are considered to have similar variables, such as say 1abc and 22abc. Note that the " 1 " and " 22 " are coefficients ;
[tex]a ) 4w, 3w\\\\b ) 4x^2, - 3x^2[/tex]
As you can tell, the part a ) has terms with the like variable w, and part b ) has terms with the like variable x^2
Solution above
solve the question 2 (3x plus 5) Square - 16 = 0 buy completing the square
Answer:
1/3(4√2/2- 5)
-1/3(4√2/2 + 5)
Step-by-step explanation:
2(3x+5)² -16=0
2(3x+5)²=16
(3x+5)² = 4²/2
3x+5= 4/√2 ⇒ 3x= 4/√2- 5 ⇒ x= 1/3(4√2/2- 5)
3x+5= -4√2 ⇒ x= -1/3(4√2/2 + 5)
Mrs. Schroeder, a school principal, drove her own car for a class trip, taking a different route. The principal’s car can travel 32 miles per gallon of gas, and it used 12 gallons for the trip. How many miles did the principal drive? ____miles
Answer: 384 miles
Step-by-step explanation:
From the question, Mrs. Schroeder, a school principal, drove her own car for a class trip, by taking a different route and we are told that the principal’s car can travel 32 miles per gallon of gas, and it used 12 gallons for the trip.
Since it used 1 gallon of gas for 32 miles, 12 gallons will be for:
= 32miles × 12
= 384 miles
The principal drove for 384 miles.
What is the value of y?
Write a rational expression that simplifies to (x-1)/(x+2), x≠-4, -2
Answer: [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)}[/tex] which is the same as [tex]\frac{x^2+3x-4}{x^2+6x+8}[/tex]
If the math notation does not load properly, or the font size is too small, then it says ( (x+4)(x-1) )/( (x+4)(x+2) ) which is the same as (x^2+3x-4)/(x^2+6x+8)
==========================================================
Explanation:
We see that x cannot equal -2, as this prevents the denominator (x+2) from becoming zero. If x = -4, then x+4 = 0. So x not allowed to be -4 means (x+4) is prevented in being zero, and this is the missing factor in the denominator. We can never divide by zero.
Multiply top and bottom of this given fraction by (x+4) to get [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)}[/tex]
Note how the (x+4) terms divide and cancel to get back to the original fraction given. The portion [tex]x \ne -4[/tex] sticks around to make sure the domains line up properly.
----------
Optionally you can expand out each product in the numerator and denominator to get
(x+4)(x-1) = x^2-x+4x-4 = x^2+3x-4
(x+4)(x+2) = x^2+2x+4x+8 = x^2+6x+8
I used the FOIL rule
So, [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)} = \frac{x^2+3x-4}{x^2+6x+8}[/tex]
profit on the dead
(a) A man bought two books for Rs 1040. He sold one at a loss of 15% and other at a profit of
36%
then he found that each book was sold for the same price. Find the cost price of each book.
Answer:
640 and 400
Step-by-step explanation:
Cost of books: x and 1040 -x
x sold at a loss of 15%= 0.85 x
1040 -x sold at a profit of 36% = (1040 - x)*1.36
x*0.85= (1040-x)*1.360.85x+1.36x= 1040*1.362.21x= 1414.4x= 1414.4/2.21x= Rs. 640Rs. 1040 - x= R. 400(THIS IS 90 POINTS!!!)
Solve the following system of equations:
x − 2y = 5
2x − 4y = 10
A. Infinitely many solutions
B. No solutions
C. (0, 0)
D. (5, 10)
Answer:
A. Infinitely many solutions
Step-by-step explanation:
x − 2y = 5 | × (- 2)
2x − 4y = 10
- 2x + 4y = - 10
2x - 4y = 10
----------------------- +
- 2x + 2x + 4y - 4y = - 10 + 10
0 = 0
A. Infinitely many solutions
what is the area of the circle?
Answer:
A = 90.25π
Step-by-step explanation:
Area of a circle = [tex]\pi r^2[/tex]
r = 9.5
A = 90.25π
Answer:
[tex]\pi \times 9.5 {?}^{2} [/tex]
What is a reasonable product of 3 9/10× 4 1/5?
Answer: 16.38
Step-by-step explanation: I had this same math problem a while ago and got it right.
Answer:
hello 55
Step-by-step explanation:
What is the name of the line of reflection for the pair of figures? Enter your answer in the box.
Answer:
the line of symmetry. It's like a mirror.
Step-by-step explanation:
3a² . 2a³ find the product
Answer:
[tex]6a^{5}[/tex].
Step-by-step explanation:
To multiply exponents, you will need to begin by multiplying the coefficients as normal. In this instance:
3 · 2 = 6.
When multiplying exponents, however, remember that you must ADD the exponents. Therefore:
3a² · 2a³ = [tex]6a^{5}[/tex]
step 1
a) Suppose you are able to download 1 free song to your tablet daily and each additional download costs $0.59. If your monthly bill is $15.34, how many songs did you download if you downloaded 28 free songs? Write an equation and solve for the unknown variable.
b) Your uncle Jim lives in England, where the current exchange rate is 1.64 US dollars for each British pound. Solve for the amount of your monthly bill, to the nearest hundredth, if you lived in England.
c) If you had an additional 1.65 pounds to download songs, how many more songs could you have downloaded? Write and solve an equation to solve the problem. Describe the step-by-step process you used to solve the problem.
Answer:
a. 54
b. 9.35
Step-by-step explanation:
a. First, divide 15.34 by 0.59 to find the number of songs you had to pay for.
15.34/0.59 = 26
then add it to the number of free songs you downloaded
26 + 28 = 54
b. divide 15.34 by 1.64
15.34/1.64 = 9.35
for c I would just multiply 1.65 by the usd exchange rate (1.64) which is 2.10 so you could afford 3 more songs but I don't know what equation exactly you would use or if what I did works.
Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side BC at point
M.
What is the length of MC?
16 mm
0 24 mm
O 32 mm
O 48 mm
Answer:
Correct option: First one -> 16 mm
Step-by-step explanation:
The equilateral triangle has its three sides with the same length.
So if the perimeter is 96 mm, we have:
[tex]Perimeter = 3*side[/tex]
[tex]3*side = 96[/tex]
[tex]side = 32 mm[/tex]
The segment MA is the height of the equilateral triangle, and its length can be calculated with the equation:
[tex]height = \frac{side * \sqrt{3}}{2}[/tex]
[tex]height = 16\sqrt{3}[/tex]
Using the Pythagoras' theorem in the triangle ACM, we have:
[tex]side^2 = MC^2 + height^2[/tex]
[tex]1024 = MC^2 + 768[/tex]
[tex]MC^2 = 256[/tex]
[tex]MC = 16\ mm[/tex]
Correct option: First one
Answer:
(A) 16mm
Step-by-step explanation:
What is the value of b in the equation b + 8 = 13? a 5 b 8 c 13 d 21
Answer:
a
Step-by-step explanation:
b+8=13.
first,you have to make b the subject of the formula (stand alone) and for that to happen +8 will have to cross the equality sign.when a positive sign crosses over the equality sign it changes to a negative sign.
so that would be b=13-8
Therefore,b=5(a)
PLEASE HELP MEEEEE ITS VERY UGRENT
Answer:
4.75
Step-by-step explanation:
u = 10 a = -2 t = 0.5 (half)
need to work out u times t add 0.5 times a times t ^2
so 10 x 0.5 + 0.5 x -2 x 0.25
= 4.75
Answer:
s=4.5 m
Step-by-step explanation:
in the equation s=ut+1/2at squared, u=10, a=-2, and t==1/2. So substitute the given values by the units u, a and t.
[tex]s=ut+\frac{1}{2} at^{2} \\s=10*\frac{1}{2}+-2*\frac{1}{2}^{2}\\ s=5+(-2)*\frac{1}{4}\\ s=5+\frac{-2}{4}\\ s=\frac{5*4-2}{4}\\ s=\frac{20-2}{4}\\ s=\frac{18}{4}\\ s=4.5 m[/tex]
Simplify: (-4/15) - (9/10) *
Answer:
Given
Step-by-step explanation:
(-4/15)-(9/10)
LCM = 150
(-4/15)= (-40/150)
(9/10)= (135/150)
So the equation becomes
= (-40/150)-(135/150)
= (-40-135)/150
= (-40+-135)/150
= -175/150
= -7/6 ( divide both by 25 to simplify)
The simplified value of (-4/15) - (9/10) is -7/6
How to simplify step by step using BODMAS rule?
The given question is (-4/15) - (9/10)
⇒first take L.C.M 15 and 10 which is 30.
⇒divide 30 by both the denominator 10 and 15 which is 3 and 2 respectively.
⇒multiply 3*-9 and 2*-4
⇒now solve using sign.
(-4/15) - (9/10)
⇒[tex]\frac{(-4*2)-(9*3}{30}[/tex]
⇒[tex]\frac{-35}{30}[/tex]
⇒ [tex]\frac{-7}{6}[/tex]
Learn more about Simplification here: https://brainly.com/question/723406
#SPJ2
Which function is graphed on the right?
There is no picture ; - ;
Answer:
its C
Step-by-step explanation:
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integ