Answer:
sale price
Step-by-step explanation:
price of an item that is being offered at a lower price than usual
the dimensions of a rectangle can be represented by the expressions (x+7) and (x-3). if the area of the rectangle is 75 square feet, find the value of x.
Answer:
Step-by-step explanation:
Area of rectangle is b*h
so
a = (x-3)(x+7)
75 = (x-3)(x+7)
75 = x²+4x-21
0 = x²+4x-96
(x+12)(x-8)=0
x = -12, or x = 8
how do u solve this equation? ↓
10 = 7 - m
thanksss
Answer:
17
Step-by-step explanation:
10=7-m
m=???
so if you do 10+7 which equal 17 and then do 17-7 you will get ten
m=17
have a good day
Answer:
the answer is -3
Step-by-step explanation:
10 = 7 -m
swap sides so that all the variable terms are on the left hand side
7 - m =10
subtract 7 from both sides
-m + 10 - 7
subtract 7 from 10 to get 3
multiply both sides by -1
m = -3
Leo needs to write an essay for history class. He estimates that he can write 1.5 pages per
hour, and his essay needs to be 6 pages long.
Write an equation that shows the relationship between the number of hours Leo spends
writing, x, and number of pages he has left to write, y.
========================================================
Work Shown:
x = number of hours
1.5x = number of pages written after x hours
y = 6-1.5x = number of pages left after x hours
--------------
In other words, if Leo can write at a pace of 1.5 pages per hour, and works for x hours, then he has written 1.5x pages so far. The difference of this with 6 will tell us what is left over. So the expression 6-1.5x is the amount of pages left, which is the value of y.
--------------
An example:
x = 2 so 1.5x = 1.5*2 = 3
At the 2 hour mark, Leo has written 3 pages. He has 6-1.5x = 6-1.5*2 = 6-3 = 3 pages left.
lim x→∞ √x²+x(2a+2b)+4ab-x
notice : all coefficients and variables are in the root
AND IF YOU CAN'T ANSWER, DON'T ANSWER THIS QUESTION!!!!!
( WITH THE STEPS!)
[tex]\lim \limits_{x \to \infty} \sqrt{x^2 +x(2a+2b) +4ab-x}\\\\\\=\lim \limits_{x \to \infty} \sqrt{x^2 \left( 1 + \dfrac{2a+2b}{x}+ \dfrac{4ab}{x^2} - \dfrac 1{x} \right)}\\\\\\=\sqrt{\lim \limits_{x \to \infty} x^2 \cdot \lim \limits_{x \to \infty} \left( 1 + \dfrac{2a+2b}{x}+ \dfrac{4ab}{x^2} - \dfrac 1{x} \right)}}\\\\\\=\sqrt{ \infty \cdot (1+0+0-0)}\\\\=\sqrt{ \infty \cdot 1}\\\\=\infty[/tex]
The perimeter of a rectangle is 22,411 inches. The width of the
rectangle is 260 inches. What is the length, in inches, of the rectangle?
Answer:
Step-by-step explanation:
P = perimeter of the rectangle; and w = width of the rectangle.Use the formula:
Length(L) = P/2 - wPlug In:
22,411 ÷ 2 - 260
Solve:
22,411 ÷ 2 = 11205.510945.5Answer is L = 10,945.5 inches
explain: perimeter is all 4 sides added together
We know one side is 260
we know the perimeter is 22,411
260 + 260 + L + L = 22,411
combine like terms
520 + 2L = 22,411
subtract 520 from both sides to isolate 2L
2L = 21,891
divide both sides by 2 to isolate L
L = 10,945.5 inches
Yusof poured some of the lemonade from a jug equally into 16 cups
and had 200 ml of lemonade left. Each cup contained 354 ml of
lemonade. How much lemonade did he make in millilitres?
Answer:
36
Step-by-step explanation:
You multiply354 and 16 then divide
Which is the graph of the inequality?
3y−9x≥9
Number graph ranging from negative ten to ten on the x and y axes. A dotted line passes through (zero, negative two) and (five, negative three). The area above the line is shaded gray.
Number graph ranging from negative ten to ten on the x and y axes. A solid line passes through (negative one, zero) and (zero, three). The area to the left of the line is shaded gray.
Number graph ranging from negative twenty to twenty in increments of two on the x and y axes. A solid line passes through (zero, negative fourteen) and (two, zero). The area to the right of the line is shaded gray.
Number graph ranging from negative twenty to twenty in increments of two on the x and y axes. A dotted line with a positive slope is drawn in the fourth quadrant of the graph. The area above the line is shaded gray.
A solid line passes through (-1, 0) and (0, 3). The area to the left of the line is shaded gray.
How to get the graph of the inequality?
Here we have the inequality:
3y - 9x ≥ 9
First, we should isolate y on one side of the inequality.
3y ≥ 9x + 9
y ≥ 3x + 3
Then, the graph will be a solid line of the form:
y = 3x + 3
Where the line is solid because the points on the line are solutions, and we need to shade all the region above the line.
Also, notice that for the line:
y = 3x + 3
if x = -1 we have:
y = 3*(-1) + 3 = 0
if x = 0 we have:
y = 3*0 + 3 = 3
Then the line passes through (0, 3) and (-1, 0). So the correct option is the second one.
"Number graph ranging from negative ten to ten on the x and y axes. A solid line passes through (negative one, zero) and (zero, three). The area to the left of the line is shaded gray."
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3. the stem-and-leaf plot shows the cost of lamps at a department store.
(a) what is the median cost?
(b) is there a mode? if so, what is it?
(c) what is the difference between the most expensive and least expensive lamps?
(d) how many lamps cost more than $20 but less than $40?
(e) what is the ratio of lamps that cost less than $40 to lamps that cost more than $40? write the ratio in simplest form.
Answer:
I don't know F but if y'all do let me now.
Step-by-step explanation:
(b) the price in the very middle of a data set, with exactly half of the houses priced for less and half priced for more.
(c) The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. Other popular measures of central tendency include the mean, or the average of a set, and the median, the middle value in a set.
(d) The two biggest things that come to mind right away is how is it going to be used and who is going to be using it? While we would all love to get the highest quality that’s just not always possible. So, that’s a good starting point for me is considering the answer to those two questions.
(e) Price and other details may vary based on product size and color.
The difference between the most and least expensive lamps represented on the stem and leaf plot is 66.
The median costThe stem and leaf plot that completes the question is added as an attachment.
The median cost is the leaf element at the middle.
The plot has 18 leaves.
So, the median position is:
Median = (18 + 1)/2 = 9.5th
This means that the median is the mean of the 9th and the 10th items.
So, we have:
Median = (58 + 58)/2
Median = 58
Hence, the median cost is $58
The modal costThis is the element with the highest frequency in the plot.
From the attached plot 65 has the highest frequency of 3
Hence, the modal cost is 65
The difference between the most and least expensive lampsFrom the plot, we have:
Most expensive = 78
Least expensive = 12
The difference (d) is:
d = 78 - 12
d = 66
Hence, the difference between the most and least expensive lamps is 66.
Number of lamps that cost more than $20 but less than $40This means that we check the items in the range 20 to 40 (exclusive)
The elements in this range are:
25, 28, 30, 32 and 34
Hence, 5 lamps that cost more than $20 but less than $40
Ratio of lamps that cost less than $40 to more than $40From the plot, we have:
Less than $40 = 6
More than $40 = 12
The ratio is represented as:
Ratio = 6 : 12
Simplify
Ratio = 1 : 2
Hence, the ratio of lamps that cost less than $40 to more than $40 is 1 : 2
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HELP ASAP PLSS
A local water park has two types of season passes. Plan A costs a one-time fee of $143 for admission plus $8 for parking every trip. Plan B costs a one-time fee of $52 for parking plus $21 for admission every trip. How many visits must a person make for plan A and plan B to be equal in value?
What is it called when your point is right on the Y axis?
Y Intercept
Slope- intercept
Answer:
y intercept
Step-by-step explanation:
Determine the domain of the following graph:
Please help!! Desperate
The domain of the function is D: x ∈ (-3, 7) here the points -3 and 7 are excluded from the domain.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
As we can see in the picture, a graph is shown.
The hollow points denote that at x = -3 and x = 7 the function value is not defined, that's why these points should be excluded from the domain of the functions.
The domain of the function:
D: x ∈ (-3, 7)
Thus, the domain of the function is D: x ∈ (-3, 7) here the points -3 and 7 are excluded from the domain.
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the cost of the items in mindy's shopping cart is 67.39 if the sales tax applied to her purchase is 5% what is the total cost of the items in her cart?
Answer:
$70.76 or 70.7595
Step-by-step explanation:
Here’s the function:
67.39(1+0.05)^1
Hope this helps! ;-)
7. Parallelogram CDEF with vertices C(-4,-4),
D(-2, 0), E(6, 1), and F(4, -3) in the line y = 2.
I need the coordinates after the reflection.
As per the given data, the vertices of the reflected parallelogram are C'(-4,8), D'(-2,4), E'(6,3), and F'(4,7).
What is Parallelogram?A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length and parallel to each other, and the opposite angles are also equal.
To reflect the parallelogram CDEF across the line y=2, we need to reflect each vertex across the line.
The line y=2 acts as a mirror, so the distance of each point to the line will remain the same before and after reflection, but the sign of the y-coordinate will change.
The reflection of point (x, y) across the line y=2 can be found by the formula (x, 2 - (y-2)) or (x, 4 - y).
Using this formula, we can find the coordinates of the reflected parallelogram:
- The reflected image of point C(-4,-4) is (-4, 8).
- The reflected image of point D(-2, 0) is (-2, 4).
- The reflected image of point E(6, 1) is (6, 3).
- The reflected image of point F(4, -3) is (4, 7).
Therefore, the vertices of the reflected parallelogram are C'(-4,8), D'(-2,4), E'(6,3), and F'(4,7).
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Explain how you can determine which angle of a scalene triangle is the largest and which is the smallest.
Answer:
use The Law of Cosines first to calculate the largest angle. then use The Law of Sines to find another angle. and finally, use the angles of a triangle add to 180° to find the last angle.
Step-by-step explanation:
The scalene triangle is a type of triangle with sides of three different lengths and angles of three different measurements. In every scalene triangle, the shortest side is opposite the smallest angle and the longest side is opposite the largest angle.
factor out the ___ from the number to make it positive
Tata's age is 10 years younger than Kaka's age.
Three years from now, the sum of their ages
is 40 years. Tata's current age is
year.
a.12 b.15. c.22. d.25
help me -!
Answer:
c. 22
Step-by-step explanation:
Let x = Tata's age and y = Kaka's age.
x - 10 = y
x+3 + y+3 = 40
Now, we can substitute in x - 10 for y.
x + 3 + (x - 10) + 3 = 40
so 2x = 44
x = 22
Therefore, Tata's current age is 22.
Two cards are drawn from a deck of 52 playing cards. The first card is NOT replaced into the deck before the 2nd card is drawn. What is the probability of first drawing an Ace, then a Two?
Answer:
4/663.
Step-by-step explanation:
There are 4 aces and 4 2's in a pack of cards.
Prob(First drawing an Ace) = 4/52 = 1/13.
After drawing this card there are now 51 cards left, so:
Prob(Next drawing a 2) = 4/51.
Required probability
= 1/13 * 4/51
= 4/663
Answer:
First, we need to keep in mind that there are 52 cards in a deck.
Second, we need the probability of getting an ace.
[tex]\frac{4}{52\\}[/tex] = [tex]\frac{1}{13}[/tex]
Now that that card is taken out of the deck, we need to subtract that card from the total amount of cards. Now there will be 51 cards.
Next, we need to find the probability of getting a 2. Like the Ace, there 4 of them.
So,
[tex]\frac{4}{51}[/tex]
Now, we multiply both of the probabilities.
[tex]\frac{1}{13} * \frac{4}{51} = \frac{4}{663}[/tex]
Since we cannot Reduce, There is your answer!
[tex]\frac{4}{663}[/tex]
∫Maybe·Kuro∫
9. Use the compound-interest formula to find the account balance A, where P is principal, r is interest rate, n is number of compounding periods per year, t is time, in years, and A is account balance.
Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The account balance after a period of 5 years will be $1.63634×10²⁰.
What is compound interest?Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Given the principal amount is $12,385, the rate of interest is 7.5%, and the time period is daily. Therefore, the amount can be written as,
[tex]A = P(1 + \frac{r}{n})^{nt}\\\\A = \$12,385(1 + \frac{7.5}{365})^{(365 \times 5)}\\\\A = \$1.63634 \times 10^{20}[/tex]
Hence, the account balance after a period of 5 years will be $1.63634×10²⁰.
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A bag containing...
I need help on this problem
Answer:
45, 135
Step-by-step explanation:
9x + 12x + 75 = 180
21x + 75 = 180
21x = 180 - 75
21x = 105
x = 105 / 21
x = 5
9 x 5 = 45
12 x 5 + 75 = 135
what is this? please help
Answer:
50
Step-by-step explanation:
to find the mean you have to add all the number up together. then divide that number by how many numbers it is in all:
48+50+5+60+37+50=300
divide 300 by 6= 50
Answer: it is the first choice which is 50 .
Step-by-step explanation: to find the mean it means you have to find the average total so you will have to add them together and divide by 6 as they are 6 numbers . When you add them the answer is 300 , divide by 6 the answer is 50 .
SEE THE PICTURE ATTACHED
HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST . THANKS .
I need help understanding this, please explain it with the answer.
Suppose y varies inversely with x, and y = −3 when x = 14.
What is the value of y when x = −7?
This is the last question on my HW, and I'm tired, so help would be greatly appreciated :)
Using a proportional relationship, it is found that when x = -7, the value of y will be of y = 6.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
When y varies inversely with x, the rule is given by:
[tex]y = \frac{k}{x}[/tex]
y = −3 when x = 14, hence we use this to find k.
[tex]-3 = \frac{k}{14} \rightarrow k = -42[/tex]
Then:
[tex]y = -\frac{42}{x}[/tex]
Then when x = -7, y = -42/-7 = 6.
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4. Arrange these lunch buyers from greatest to least assuming they buy lunch 5 days per week and there are four weeks in a month: Alice: $3 per day, Betty: $25 every two weeks, Cindy: $75 per month
Answer:
greatest to least: cindy, betty, alice
Step-by-step explanation:
multiply each amount by 20- 5 days times 4 weeks
3*20=60 for alice
25*3=75 betty
75*3=225 cindy
PLEASE HELP ME!!!!!!!
Graph the function () = 12 (2) squared on the coordinate plane
The coordinates are
-2,4
-1,1
0,0
1,1
2,4
You want to draw a red then a blue marble. do you have a better chance of drawing a red then blue marble with or without replacing the first marble? explain your answer
Answer: Without replacing
Step-by-step explanation:
If you don't replace the first red marble, it decreases the number of red marbles in the mix, making the proportion of blue marbles relatively larger. For example, if there were 5 red and 5 blue marbles, there would be a 50% chance of drawing a blue marble. If the red drawn is not replaced, there is a 5/9 chance of drawing a blue marble, or a 55% chance of drawing one.
30. The cost of the building materials will depend in part on the surface area of the structure. The larger the surface area to be covered, the more it will cost to build. Which structure has the smallest surface area?
Answer:
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X^2-11x+24
I need to convert the quadratic equation from expanded to factored form
Answer:
[tex](x - 3) \: (x - 8)[/tex]
Step-by-step explanation:
We were given the equation:
[tex] {x}^{2} - 11x + 24 = 0[/tex]
Therefore in order to factorize we first need to find the numbers that add to be equal to -11 and multiply to be equal to 24. The two numbers are:
[tex] - 8 \: and \: - 3 \\ \\ - 8 + ( - 3) = - 11 \\ - 8 \times - 3 = 24[/tex]
So the new equation is
[tex]{x}^{2} - 8x - 3x + 24 = 0 \\ \\ factorize: ( {x}^{2} - 8x) \: ( - 3x + 24) = 0 \\ \\ x(x - 8) \: - 3(x - 8) \\ \\ therefore : (x - 3) \: ( x - 8) = 0[/tex]
Answer:
Step-by-step explanation:
Comment
There are a lot of choices. Luckily the middle term is minus and the third term is plus, so you don't have to juggle minus signs around. Both factors are minus when put together with x.
-3 - 8
-4 - 6
-2 -12
-1 - 14
I think these are all the possible factors.
-4 + - 6 = - 10 Not the answer. It needs to be - 11
-2 + -12 = -14 Not the answer. It needs to be - 11
-1 + - 24 = -25 Just about as far away as you can get. Not the answer
So A must be right
-3 + -8 = - 11
That's what it should be. So the factors are
Answer:
(x -3)(x - 8)= x^2 - 11x + 24
Please answer ASAP! I will give you brain L. #8
Answer:
AC = [tex]3\sqrt{3}[/tex]
BC = [tex]6\sqrt{3}[/tex]
Step-by-step explanation:
AC is [tex]x\sqrt{3}[/tex] and x = 3 so [tex]3\sqrt{3}[/tex] and it [tex]=3\sqrt{3}[/tex]
BC is [tex]2x[/tex] and x = 3 so [tex]2(3\sqrt{3}) = 6\sqrt{3}[/tex]
Hopefully this was what you wanted, and is correct!
What is 10% of 695,000
Answer:
69500
Step-by-step explanation:
[tex]\frac{695000}{x}=\frac{100\%}{10\%}\\\frac{x}{695000}=\frac{10}{100}\\\Rightarrow x=69500[/tex]
9. The number of books in a class library is 17 more than 3 times the number of students in the class. If 5 students are absent, each student can borrow exactly 4 books from the library. Find the number of students in the class.
Answer: 37 students in the class
Step-by-step explanation:
Let n = number of books,
Let s = number of students
We get the following expressions:
n = 3s + 17
4 = [tex]\frac{n}{s-5}[/tex]
Solve this system using substitution:
[tex]4=\frac{3s+17}{s-5}[/tex]
[tex]4(s-5) = \frac{3s+17}{s-5} (s-5)[/tex]
[tex]4s -20 = 3s+17\\[/tex]
[tex]s-37 = 0\\[/tex]
[tex]s=37[/tex]
