Answer:
27.4%
Step-by-step explanation:
Step one:
given
original cost $69
seling price $52
Required
The percent reduction
Step two:
% reduction= change in price/original price*100
% reduction= 69-52/62*100
% reduction=17/62*100
% reduction= 0.274*100
% reduction= 27.4%
Given the relation y = −4x2 − 8, if the input is 2, what is the output? (4 points) 8 −8 −16 −24
Answer:
-4x^2 - 8......input (x) = 2
Step-by-step explanation:
-4(2^2) - 8 =
-4(4) - 8 =
-16 - 8 =
- 24 <==
i hope this helps you :)
20 points each math answer with optional explination
Which of the following is not a condition that must be met before you can use the quadratic formula to find the solutions of an equation?
Options in picture
Alex helps his father milk cows on their dairy farm. They are paid $2.25
per gallon of milk, that they get from their cows. Together, Alex and his
father are able to milk 12 gallons over a 2-hour period. How much money
could Alex and his father expect to earn if they worked for 10 hours?
А
$22.50
B
$54.00
C
$135.00
D
$270.50
y is inversely proportional to the square of x.
A table of values for x and y is shown.
Х| 1 2 3 4
Y| 4 1 4/9 1/4
a) Express y in terms of x.
b) Work out the positive value of x when y = 25
Answer:
[tex]a) \: y = \frac{4}{ {x}^{2} }[/tex]
[tex]b) \: x = \frac{2}{5} [/tex]
Step-by-step explanation:
Please see the attached pictures for the full solution.
Under his cell phone plan, Elijah pays a flat cost of $64.50 per month and $5 per gigabyte. He wants to keep his bill at $87.50 per month
Divide 3ab by 2c in algebraic expression
Answer:
[tex]\frac{3ab}{2c}[/tex]
Step-by-step explanation:
An algebraic expression is an expression consists of constants, variables, and the algebraic operations: addition, subtraction, multiplication and division.
Given: algebraic expressions are [tex]3ab,2c[/tex].
To divide: [tex]3ab[/tex] by [tex]2c[/tex]
Solution:
[tex]\frac{3ab}{2c}[/tex]
There are no common terms in numerator and the denominator.
So, answer is [tex]\frac{3ab}{2c}[/tex]
Which expression is equivalent-3(6x+7)+4(7x+2)
Answer: are there choices?
Step-by-step explanation:
Please help!!!!!!!!!!!!!!!
Answer:
x = 48.59 degrees
Step-by-step explanation:
Do sin-1(12/16) and put it in a calculator. After that, you will get your final answer as 48.59 degrees. This requires sin because the opposite angle is 12 for x. The adjacent angle is something else.
pleaseeee helppppp correctly !!!!!!!!!!!!!! will mark Brianliesttttt !!!!!!!!!!!!!!
Answer:
probably 25
Step-by-step explanation:
Helplsieedgoodgradeplspls
Answer:
He would need to walk the dog 6 more times because 8 times 11 is 88 and if he has already walked the dog 5 times you would subtract that from 11 to get 6. So the answer would be 6
Step-by-step explanation:
8·11= 88
11-5= 6
9. Determine which of the following sequences is a geometric sequence. Check all that apply.
3,9, 27, 81, ...
100, 90, 80, 70, ...
5, 10, 20, 40, ...
2, 10, 18, 26,...
625, 125, 25, 5, ...
-2, 6, -18, 54, ...
Step-by-step explanation:
first geometric sequence
3^1, 3^2 ,3^3, 3^4,......
3, 9, 27, 81.......
second
5^1, 5^2, 5^3, 5^4,........
5, 25, 125, 625,........
third
2, 10, 18, 26,.....
which has the difference of 8
fourth
100, 90, 80, 70,......
Which equation is equivalent to 3 + 5(x + 2) = 12? A 8x + 16 = 12 B 8x + 2 = 12 C 5x + 5 = 12 D 5x + 13 = 12
Answer:
D 5x + 13 = 12
Step-by-step explanation:
3 + 5(x + 2) = 12
3 + 5x + 10 = 12
5x = -1
x = -1/5
D) 5x + 13 = 12
5x = 12 - 13 = -1
x = -1/5
PLEASE HELP ME ASAP!! ILL GIVE YOU POINTS AND BRAINLIEST IF YOU ANSWER ALL 3 TRUE OR FALSE QUESTIONS CORRECTLY.
A) Slope=8 True or False?
B) Unit Rate= $8/hour True or False?
C) The equation of this relationship is y= 1/8x True or False?
Answer:
True, True, False.
Step-by-step explanation:
A) Rise/Run is 8/1
B) 8 dollars are earned every hour
C) Correct equation is y=8x
John's Mathematics exam mark this year is increased by 5% to 84. Find his Mathematics exam mark
last year.
Answer:
80%
Step-by-step explanation:
Let's call the past exam mark m,
m*105%=84
m*105/100=84
m=84/(105/100)
m=80
Hope this helps!
Answer:
80
Step-by-step explanation:
new value = 84
old value = n
can use percent change formula: (new value - old value) / old value = 5/100
[tex]\frac{84-n}{n}[/tex] = [tex]\frac{5}{100}[/tex]
cross-multiply (you can simplify 5/100 to be 1/20 first): 20(84 - n) = n
1680 - 20n = n
1680 = 21n
n = 80
The regular price of a jacket is $62.00. If the discount rate is 15%, how much was the discount?
Discount amount = price x discount percentage as a decimal:
Discount amount = 62.00 x 0.15 = 9.30
Discount = $9.30
Answer:
$52.70
Step-by-step explanation:
TJ rented a truck to move to a apartment the regular price of a Truck Rental is $200 TJ has a 50% off coupon he wants to know the sale tax of the truck rental
Answer:
$100
Step-by-step explanation:
From the question, we are given the following
Rental price of the truck
percentage off coupon = 50%
Required
Sale tax of the truck rental
Sale tax of the truck rental = 50% of the truck price
Sale tax of the truck rental = 50% of $200
Sale tax of the truck rental = 50/100 * 200
Sale tax of the truck rental = 0.5 * 200
Sale tax of the truck rental = $100
Hence the sale tax of the truck rental is $100
Gill had less money than Roddy had
After Roddy spent 40% of his money,
he had $14 less than Gill. How much
money did Gill initially have?
Answer:
50
Step-by-step explanation:
Answer: the answer is 50
Step-by-step explanation:
the value of a second-hand car is £8000. Each year it loses 20% of its value at the start of this year. work out its value in 5 years time
pls answer,I will also mark the brainest and I will rate 5 out of 5 stars pls show working out
Answer:
the value in the five years is £2,621.44
Step-by-step explanation:
The computation of the value in the five years is given below:
= The value of the second car × (1 - losses percentage)^number of years
= £8,000 × (1 - 0.20)^5
= £8,000 × 0.80^5
= £8,000 × 0.32768
= £2,621.44
Hence, the value in the five years is £2,621.44
We simply applied the above formula so that the correct value could come
And, the same is to be considered
Figure ABCD is a trapezoid. Find
the value of x.
Answer:
Step-by-step explanation:
because we have a kite,
AB=AD
4x=x+15
4x-x=15
3x=15
x=5
Solve for V in V= s^3, if s= 4.
V=
Answer:
64
Step-by-step explanation:
v = s^3
v = (4)^3 [4x4x4]
v = 64
At the end of a football season a coach is adding up everyone's scores nathan has scored 11 more than harry harry has scored 10 more then jack. If the total of their scores is 91, how much did harry score
Answer:
Harry has a score of 30
Step-by-step explanation:
Let us represent their scores as:
Nathan = x
Harry = y
Jack = z
At the end of a football season a coach is adding up everyone's scores
Nathan has scored 11 more than harry
x = y + 11
Harry has scored 10 more then jack.
y = z + 10
z = y - 10
If the total of their scores is 91
x + y+ z = 91
y + 11 + y + y - 10 = 91
3y + 1 = 91
3y = 91 - 1
3y = 90
y = 90/3
y = 30
Since Harry's score is represented as y, Harry has a score of 30
Which is the equation of a hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6)?
Given:
Hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6).
To find:
The equation of hyperbola.
Solution:
We have, directrices at y = ±2 so this hyparabola is along the y-axis.
The standard form of hyperbola is
[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex] ...(i)
where, (h,k) is center, foci are [tex](h,k\pm c)[/tex] and directrix are [tex]y=k\pm \dfrac{a^2}{c}[/tex].
On comparing foci, we get
[tex](h,k\pm c)=(0,\pm 6)[/tex]
[tex]h=0,k=0,c=6[/tex]
On comparing directrix we get
[tex]k\pm \dfrac{a^2}{c}=\pm 2[/tex]
[tex]\dfrac{a^2}{c}=2[/tex]
[tex]\dfrac{a^2}{6}=2[/tex]
[tex]a^2=12[/tex]
Now,
[tex]a^2+b^2=c^2[/tex]
[tex]12+b^2=(6)^2[/tex]
[tex]b^2=36-12[/tex]
[tex]b^2=24[/tex]
Putting [tex]h=0,k=0,a^2=12,b^2=24[/tex], we get
[tex]\dfrac{(y-0)^2}{12}-\dfrac{(x-0)^2}{24}=1[/tex]
[tex]\dfrac{y^2}{12}-\dfrac{x^2}{24}=1[/tex]
Therefore, the equation of hyperbola is [tex]\dfrac{y^2}{12}-\dfrac{x^2}{24}=1[/tex].
Answer:
the person above has the right answer. I took the test.
Step-by-step explanation:
The person above is correct.
A sum of money amounts to ₹9800 after 5 years and ₹12005 after 8 years at the same rate of simple interest. What will be the rate of interest?
[Irrelevant answers will be reported]
Answer:
12%
Step-by-step explanation:
We can get SI of 3 years = 12005 - 9800 = 2205
SI for 5 years = (2205/3)*5 = 3675 [so that we can get principal amount after deducting SI]
Principal = 12005 - 3675 = 6125
So Rate = (100*3675)/(6125*5) = 12%
Is 4/5 greater than 5/6?
Answer:
5/6 is greater than 4/5
Step-by-step explanation:
4/5 = 0.8
5/6 = 0.833333
Answer:
no
Step-by-step explanation:
5/6 is greater than 4/5
A school club wants to collect at least 500 canned goods for a school food drive. The club has already collected 30 canned goods
Part A
If 10 club members each collect the same number of canned goods, which inequality represents the minimum number of canned goods, n, each club
member must select for the club to meet the goals?
Answer:
The correct answer is 10n ≥ 470.
Step-by-step explanation:
Since, the school club wants to collect at least 500 canned goods, then we know that they don't want to collect any less: they must collet 500 or more canned goods.
They already collected 30 canned goods, therefore we can subtract this quantity from out goal.
500 - 30 = 470
Since there are 10 club members, the number of members multiplied by "n" the minimum amount of canned goods that they can collect, will equal the total amount of canned goods that they need.
Hope this helps! :D
The area of a rectangular warehouse measures 4,288 square feet. The width of the warehouse is 64 feet long. Draw a model to represent the problem, and then solve for the length of the warehouse.
Answer:
67 feet
Step-by-step explanation:
Step one:
given
The area of a rectangular warehouse measures 4,288 square feet
The width of the warehouse is 64 feet long.
Required:
the length of the warehouse
Step two:
The expression for the area of a rectangle is
A= L*W
so, for the situation
4,288= L*64
solve for L
divide both sides by 64
L= 4,288/64
L=67 feet
What are the roots of the polynomial equation: 4k - 144 = 0 Show all of your work!
Answer:
k = ±6
Step-by-step explanation:
guess your question is 4k²–144 = 0??
4k² = 144
k² = 36
k²–36 = 0
(k+6)(k–6) = 0
k+6 = 0 | k–6 = 0
k = –6, k = 6.
Alternatively; k = ±6.
How many sides does a regular polygon have if each of its interior angles is 140 degrees?
- Step by step explanation
A plant is already 8.75 meters tall, and it will grow 25 centimeters every month. the plants height, H (in meters), after x months is given by the following function H(x)=0.25x+8.75 What is the plants height after 40 months?
Answer:
18.75 meters
Step-by-step explanation:
8.75 + 0.25(40) = 18.75
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-15x^2+801x-5900
Answer:
The widgets should be sold for $26.7 for the company to make the maximum profit.
Step-by-step explanation:
Given the quadratic equation
[tex]f\left(x\right)=-15x^2+801x-59000[/tex]
As the leading coefficient is (-3), so the graph would be a downward Parabola.
Thus, the maximum profit would be at the vertex.
The selling price 'x' can be determined by determining the x-coordinate of the vertex.
In order to calculate the x-coordinate of the vertex, we can find this by
x = -b/2a
where a = -15 and b = 801
x = -801 / 2(-15)
x = -801/-30
x = 801/30
x = 267/10
x = 26.7
Therefore, the widgets should be sold for $26.7 for the company to make the maximum profit.