Answer:
The simplified expression to represent the scenario is Y = 4·X - 0.48·X
Step-by-step explanation:
The given parameters are;
The number of tickets required = 4
The amount of discount offered = 12%
Let the selling price = X
Therefore the amount paid for each ticket = X - X×12 %
Which gives;
The amount paid for each ticket = X - X×0.12
The amount paid for the four tickets = 4 × (X - X×0.12) = 4·X - 4×0.12·X = 4·X - 0.48·X
Whereby the amount paid for the four tickets = Y, we have;
Y = 4·X - 0.48·X
Which gives, the simplified expression to represent the scenario as Y = 4·X - 0.48·X.
7m + 3mn when m = 8 and n = 14
Answer:
392
Step-by-step explanation:
If we have the expression [tex]7m+3mn[/tex] and we know the values of m and n, we can just substitute inside the expression and solve.
[tex]7\cdot8 + 3\cdot8\cdot14\\\\56+336\\\\392[/tex]
Hope this helped!
Answer:
392 is the correct answer
The formula for the area of a triangle is A = 12bh, where b is the base of the triangle and h is the height of the triangle. What is the length of the base if the area is 32 cm2 and the height is 4 cm?
Answer:
The base is 16 cm long.
Step-by-step explanation:
A = 1/2 * bh, we know that A = 32 and h = 4. We are solving for b so we can plug A = 32 and h = 4 into the equation to solve for b.
A = 1/2 * bh
32 = 1/2 * b * 4
32 = 2b
b = 16cm
What is the area of a rectangle with side lengths of 5/12 foot and
2/3 foot?
Answer:
5/18
Step-by-step explanation:
Lets write an equation:
5/12*2/3=5*2/12*3.
5*2=10,
12*3=36.
10/36=5/18
The answer is 5/18.
Hope this helps!
Show the following conjectures are false by finding a counterexample.
13. All prime numbers are odd.
14. If the product of two numbers is positive, then the two numbers must both be positive.
15. If the sidewalk is wet, then it has been raining.
''All prime numbers are odd."
That is incorrect because if we consider the smallest odd number, 2, is an even number. We can say that except 2, all prime numbers are odd.
14. section is wrong. For example, both numbers can be negative, so when we multiple these two, it will equals a positive value.
Write an expression to represent:
Eight more than the product of two and a number
x
xx.
Answer:
2x+8
Step-by-step explanation:
The mathematical expression will be;
⇒ 2x + 8
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The algebraic expression is,
⇒ '' Eight more than the product of two and a number x''.
Now,
Since, The algebraic expression is,
⇒ '' Eight more than the product of two and a number x''.
Hence, We get the mathematical expression as;
⇒ Product of 2 and number x = 2x
And, 8 more than 2x = 2x + 8
Thus, We get the mathematical expression as;
⇒ 2x + 8
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Which value of n makes the equation true?
-1/2n = -8
A. -16
B.-4
C.4
D.16
Answer:
16
Step-by-step explanation:
Lets do a Step-by-step:
You must Solve for n:
-n/2 = -8
Multiply both sides of -n/2 = -8 by -2:
(-2 (-n))/2 = -2 (-8)
-2×(-1)/2 = (-2 (-1))/2:
(-2 (-1))/2 n = -2 (-8)
(-2)/2 = (2 (-1))/2 = -1:
--1 n = -2 (-8)
(-1)^2 = 1:
n = -2 (-8)
-2 (-8) = 16:
Answer: n = 16
Hope this helps
Which solid figure has 10 edges?
Answer:
The answer to this question is pentagonal prism or pentagonal pyramid.
You roll a die 3 times, what is the probability that each time you will roll at least a 5?
Answer:
3/6
Step-by-step explanation:
How do you solve this systems of equations problem
2r +3s=-5
6s=2r
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
2r + 3s = - 5 → (1)
6s = 2r → (2) ( divide both sides by 2 ), then
r = 3s
Substitute r = 3s into (1)
2(3s) + 3s = - 5
6s + 3s = - 5
9s = - 5 ( divide both sides by 9 )
s = - [tex]\frac{5}{9}[/tex]
Substitute this value into either of the 2 equations and evaluate for r
Substituting into r = 3s, then
r = 3 × - [tex]\frac{5}{9}[/tex] = - [tex]\frac{5}{3}[/tex]
Solution is r = - [tex]\frac{5}{3}[/tex] and s = - [tex]\frac{5}{9}[/tex]
Simplify (36/81) raised to the power -1/2
Step-by-step explanation:
Hey, there!!
I hope you mean,
[tex] \frac{ - 1}{2} \: means \: \sqrt{} [/tex]
and
[tex]36 = {6}^{2} \: and \: 81 = {9}^{2} [/tex]
[tex]so \: \: \sqrt{ \frac{ {6}^{2} }{ {9}^{2} } } [/tex]
[tex]or \: ( { \frac{ {6}^{2} }{ {9}^{2} }) }^{ \frac{ - 1}{2} } [/tex]
so, the answer is 6/9 or, 2/3.
Hope you are searching this...
Which mathematical symbol would best fill in the blank to compare the two real numbers?
Answer:
<
Step-by-step explanation:
If we compare the 2 values
[tex]\sqrt{7}[/tex] ≈ 2.65
[tex]\frac{14}{5}[/tex] = 2.8
Thus we can see that 2.65 is less than 2.8, then
[tex]\sqrt{7}[/tex] < [tex]\frac{14}{5}[/tex]
Find mZPQR.
help asap
======================================
Work Shown:
Angle PQR = (far arc - near arc)/2
2x+72 = ( (2x+252) - (2x+108) )/2
2x+72 = 144/2
2x+72 = 72
2x = 72-72
2x = 0
x = 0/2
x = 0
-------------
Angle PQR = 2x+72
Angle PQR = 2(0)+72
Angle PQR = 72 degrees
how do you solve this problem (x+5)²
Answer:
x = -5
Step-by-step explanation:
Solve for x:
(x + 5)^2 = 0
Take the square root of both sides:
x + 5 = 0
Subtract 5 from both sides:
Answer: x = -5
At Little Rock School 476 students ride their bike to school. This is 85% of the total
students in the school. How many total students are in the school?
Answer:
560 students
Step-by-step explanation:
85/100=476
x= 476 x 100/85 x=560
Answer:c560 students is the answer your welcome!!!!!
Step-by-step explanation:
Carlo used this number line to find the product of 2 and −3. A number line going from negative 7 to positive 3. An arrow goes from negative 2 to negative 4, and from negative 4 to negative 6. What errors did Carlo make? Select two options.
Answer:
The errors are;
a. negative 4 to negative 6
b. negative 2 to negative 4
Step-by-step explanation:
The number line is the mathematical representation of numbers in the horizontal line or the x-axis.
The result of the multiplication of a positive 2 and a negative 3 is;
2 x -3 = -6 , gives a negative 6.
So the number line should scale to accommodate the operands and the result, which is from negative 7 to positive 3, in the option given.
Answer:
the answer is a and c :)
Step-by-step explanation:
If you drove a bus with 43 people on board from Chicago and stopped at Pittsburgh to
pick up 7 more people and drop off 5, and then at Cleveland to pick up 4 more people
and drop off 8, and arrive at Philadelphia 20 hours later. How old is the bus driver?
If I'm correct im sure I'd be 41
If you drove a bus with 43 people on board from Chicago and stopped at Pittsburgh. the bus driver is 41 old.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
If you drove a bus with 43 people on board from Chicago and stopped at Pittsburgh.
To pick up 7 more people and drop off 5,
So, 43 + 7
= 50 -5
= 45
then at Cleveland to pick up 4 more people and drop off 8, and arrive at Philadelphia 20 hours later.
= 45 + 4
= 49 - 8
= 41
Therefore, the bus driver is 41 old.
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You Walked around a circle which has diameter of hundred metre how far you worked
Answer:
314.16 metres
Step-by-step explanation:
The answer to this problem is essentially just the circumference of the circle.
The circumference, or perimeter, is denoted by C = 2πr = πd, where r is the radius (and half the diameter) and d is the diameter.
Here, the diameter is 100 metres, so plug this in for d:
C = πd
C = π * 100 ≈ 314.16 metres
The answer is about 314.16 metres.
~ an aesthetics lover
Add. Write your answer as a fraction in simplest form. 9/10+(−4/5)=
Answer:
1/10
Step-by-step explanation:
9/10+(-4/5)
= 9/10-4/5
=9/10-8/10
=1/10
The simplified form of the expression as a fraction is 1/10.
We have,
Expression:
9/10 + (-4/5)
Remove the parenthesis.
9/10 - 4/5
Simplify the fraction.
(9 - 8)/10
1/10
Thus,
The simplified form of the expression is 1/10.
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36+x=12-3x
Plz help quick
Answer:
x = -6
Step-by-step explanation:
36 + x = 12 - 3x
36 + x - 36 = 12 - 3x - 36
x = -3x - 24
x + 3x = -3x - 24 + 3x
4x = -24
4x / 4 = -24 / 4
x = -6
Answer:
x = -6
Step-by-step explanation:
36 + x = 12 - 3x
We need all terms with x on the left side.
Add 3x to both sides.
36 + x + 3x = 12 - 3x + 3x
36 + 4x = 12
We need all terms that are just numbers on the right side. Subtract 36 from both sides.
36 - 36 + 4x = 12 - 36
4x = -24
We have 4x, which means 4 multiplied by x, on the left side. We want x alone. Divide both sides by 4.
x = -6
need help ASP. find the inverse function of f(x)=3x-4
Answer:
f (x) = 1
substitute 1 for x
f (1) = 3 (1) - 4
= 3 - 4
= -1
Answer:
[tex]y = \frac{ x + 4}{3} [/tex]
Step-by-step explanation:
Let f(x) =y
y= 3x-4
[interchanging variables]
x=3y-4
[making y the subject]
3y=x+4
Therefore the inverse of the function is
[tex]y = \frac{x + 4}{3} [/tex]
Solve for w -24=-3w+21
Answer:
w = 11.25
Step-by-step explanation:
To solve this problem, we are going to move all of the terms containing the variable w to the left side of the equation and all of the constant terms (ones with numbers only) to the right side of the equation.
w - 24 = -3w + 21
To do this, we should first add 24 to both sides of the equation.
w - 24 + 24 = -3w +21 + 24
If we simplify, we get:
w = -3w + 45
Next, we should add 3w to both sides of the equation.
w + 3w = -3w + 3w + 45
4w = 45
Finally, we can divide both sides by 4.
4w/4 = 45/4
w = 11.25
Hope this helps!
The crosssectional areas of triangular prism and a night cylinder are congruent. The triangular prism has a helght of 5 units, and the right cylinder height of 3 unitsconclusion can be made from the given Information? The volume of the prism half the volume of the cylinder The volume of the prism is twice the volume of the cylinder The volume of the premis equal the volume of the cylinder. The volume of the is not equal to the volume of the cylinder
Answer:
The volume of the triangular prism is not equal to the volume of the cylinder
Step-by-step explanation:
Given that:
The cross sectional area of triangular prism and a night cylinder are congruent. The term 'congruent' means when two objects or shapes are placed above each other , they should both overlap exactly.
It was given that:
The triangular prism has a height of 5 units
and the right cylinder height of 3 units
The conclusion that can be drawn from this is that:
The volume of the triangular prism is not equal to the volume of the cylinder.
This is because, they do not occur in the same family. A triangular prism is a three - dimensional shape that has identical, parallel ends and parallel faces.
A triangular prism has two triangles at it ends and three rectangular faces.
The volume of the triangular prism is calculate by using the formula:
[tex]V= \dfrac{1}{2}\times b \times h\times l[/tex]
On the other hand, a cylinder is a shape with two circular ends and a curved surface.The two circular ends are congruent and both circular end posses the same cross section from one end to the other in the cylinder.
The volume of a cylinder is calculated by using the formula:
V = πr²h
Thus, we conclude that irrespective of the nature of their congruency, since the heights are different which will definitely affects their volume, the the volume of the triangular prism is not equal to the volume of the cylinder.
You and three friends go to the town carnival. You have a coupon for $20 off that will save your group money! If the total bill to get into the carnival was $100, how much does one regular price ticket cost?
Answer:
Regular price for 1 ticket = $30
Step-by-step explanation:
Given that a total of 4 people went to the carnival.
Total bill for the tickets = $100
Discount coupon used = $20
To find:
Cost of Regular price ticket = ?
Solution:
First of all, we need to find the regular price of tickets for 4 persons as if there was no coupon used.
If no coupon used, total bill of tickets = Total bill with coupon + Amount of coupon
Regular price for 4 tickets = 100 + 20 = $120
So, regular price for 1 ticket = Regular price of 4 tickets divided by 4
[tex]\text{Regular price for 1 ticket }= \$\dfrac{120}{4} = \$\bold{30}[/tex]
So, the answer is:
Regular price for 1 ticket = $30
Write the equation for a parabola with a focus at (-2,5) and a directrix at y=3.
Answer:
(x+2)²=4(y-4)
or y=1/4 (x+2)²+4
Step-by-step explanation:
directrix y=3 and focus (-2,5) to find te equation of parabola we use the equation :
(x-h)²=4p(y-k)
vertex(h,k) : the vertex is half way between the focus and the directrix
y(vertex)=y(focus)+directrix/2
y=5+3/2 ⇒8/2=4
x is the same as the c of the focus =-2
vertex (-2,4)
to find the distance (p) which is the distance between the vertex and focus
p=5-4=1
substitute h=(-2), k=(4) and p=(1) in the equation : (x-h)²=4p(y-k)
(x-(-2)²=4(1)(y-4)
(x+2)²=4(y-4)
What type of graph is this?
not a regular graph
a regular graph
Simplify the following expression: a + 2c − 5b − c + a − b 2a − 6b + 2c 2a − 6b + c a − 6b + c a − 5b + 2c
Answer:
=−ab2+2ac2+2ac+2a−28b+3c
Step-by-step explanation:
a+2c−5b−c+a−b2a−6b+2c2a−6b+ca−6b+ca−5b+2c
=a+2c+−5b+−c+a+−ab2+−6b+2ac2+−6b+ac+−6b+ac+−5b+2c
Combine Like Terms:
=a+2c+−5b+−c+a+−ab2+−6b+2ac2+−6b+ac+−6b+ac+−5b+2c
=(−ab2)+(2ac2)+(ac+ac)+(a+a)+(−5b+−6b+−6b+−6b+−5b)+(2c+−c+2c)
=−ab2+2ac2+2ac+2a+−28b+3c
Answer:
=−ab2+2ac2+2ac+2a−28b+3c
Answer:
B. 2a − 6b + c
Step-by-step explanation:
Took the test :)
Someone help thanksss
Answer:
-9x³(x+3)(x-7)
Step-by-step explanation:
-9x^5+36x^4+189x³=
-9x³(x²-4x-21)=
-9x³(x+3)(x-7)
A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile. A deer is 10 miles per hour faster than a bison. A bison is 10 miles per hour faster than a deer. A deer is 0.66 miles per hour faster than a bison. A bison is 0.66 miles per hour faster than a deer.
Answer:
In 1 minute, bison runs 3520 feet
In 60 minutes, the bison would run
3520*60 feet
211200 feet per hour.
These are equivalent to;
40 miles per hour since 1 mile is equivalent to 5280 feet.
The bison is faster by 10 miles per hour
Answer:
A bison is 10 miles per hour faster than a deer.
i took the assignment
5х + 10 = 24 + 6x – 3х
Answer:
Here, 5x + 10 = 24 + 6x - 3x
or, 5x + 10 = 24 + 3x ( 6x-3x )
or, 5x - 3x = 24 - 10
or, 2x = 14
or, x = 14/2
Hence answer is 7.
Write standard form, expanded form and word form at the top of the page write five numbers that are at least 8 digits long
Answer:
See Explanation
Step-by-step explanation:
1.
Standard Form: 2 * 10^8
The number is expanded as follows:
[tex]10^8 = 100,000,000[/tex]
So: [tex]2 * 10^8 = 2 * 100,000,000[/tex]
[tex]Expanded\ Form: 200,000,000[/tex]
Word Form: Two hundred million
2.
Standard Form: 3.5 * 10^7
The number is expanded as follows:
[tex]10^7 = 10,000,000[/tex]
So: [tex]3.5 * 10^7 = 3.5 * 10,000,000[/tex]
[tex]Expanded\ Form: 35,000,000[/tex]
Word Form: Thirty five million
3.
Standard Form: 9 * 10^9
The number is expanded as follows:
[tex]10^9 = 1000,000,000[/tex]
So: [tex]9 * 10^9 = 9 * 1000,000,000[/tex]
[tex]Expanded\ Form: 9,000,000,000[/tex]
Word Form: Nine billion
4.
Standard Form: 5.5 * 10^7
[tex]10^7 = 10,000,000[/tex]
So:
[tex]5.5 * 10^7 = 5.5 * 10,000,000[/tex]
[tex]Expanded\ Form: 55,000,000[/tex]
Word Form: Fifty five million
5.
Standard Form: 4.3 * 10^7
[tex]10^7 = 10,000,000[/tex]
So:
[tex]4.3 * 10^7 = 4.3 * 10,000,000[/tex]
[tex]Expanded\ Form: 43,000,000[/tex]
Word Form: Forty Three million