Answer:
d
Step-by-step explanation: 0.2 x 100% = 102.1/ 20%= d
look below and can i have brainlyplus Start with the original price, $80.
If you take 20% off, then you will be paying 80% of the original price. Calculate 80% of $80.
80% of $80 = 80% * $80 = 0.8 * $80 = $64
After applying the 20% discount, the new price is $64.
Now you apply the 10% coupon.
Since you are taking 10% off the discounted price, you will be paying 90% of the discounted price.
90% of $64 = 0.9 * $64 = $57.6
The final discounted price is $57.60
Step-by-step explanation:
can anybody help me solve this please?
Calculate the volume of each shape then add them together.
4 x 32 x 10 = 1280
12 x 16 x 10 = 1920
Total volume = 1280 + 1920 = 3,200 cubic in.
ASAP HELP PLEASE A cylinder and its dimensions are shown. Which equation can be used to find V, the volume of the cylinder in cubic centimeters?
A)
V = π(4.5h)2
B)
V = π(9h)2
C)
V = π(4.5)2h
D)
V = π(9)2h
Answer:
Option A, π(4.5)²
Step-by-step explanation:
Volume of a cylinder is-
V = πr²h
Substitute the value of the radius. (9 is the diameter of the base, so it needs to be half of it)
V = π(4.5)²h
Bring the "h" inside with 4.5
V = π(4.5h)²
Hope this helps
The volume of the cylinder is [tex]\pi (4.5)^{2} h[/tex] and thus option c) [tex]\pi (4.5)^{2} h[/tex] is the correct option
Given: a cylinder of diameter 9 cm and height h cm
To find: equation to find the volume of the cylinder
We know that the volume of a cylinder can be calculate by using the formula:
[tex]\text{volume} = \pi r^{2} h[/tex]
where r is the radius of the cylinder and h is the height
It is given that the diameter of cylinder is 9 cm so radius of the cylinder will be half of the diameter:
[tex]\text{radius} = \frac{9}{2} = 4.5[/tex] cm
Now putting the values in the formula of volume:
[tex]\text{volume} = \pi (4.5)^{2} h[/tex]
Therefore, the volume of the cylinder is [tex]\pi (4.5)^{2} h[/tex] and the option that is same as our answer is option C. So, option C) [tex]\pi (4.5)^{2} h[/tex] is the correct answer
doroteo determined that the correlation coefficient for a set data was -0.9. what percent of the total variation in the y-values is not explained by the regression line?
Answer:
19% of the total variation in the y-values is not explained by the regression line
Step-by-step explanation:
The correlation coefficient, r, is a measure of the degree of association between two variables. It gives information on the direction and strength of the relationship.
On the other hand, [tex]R^{2}[/tex] is the coefficient of determination and is a measure of the percent of the total variation in the y-values explained by the regression line.
[tex]R^{2}[/tex] is simply the square of r;
[tex]R^{2}=r^{2}=(-0.9)^{2}=0.81[/tex]
This implies that 81% of the total variation in the y-values is explained by the regression line. Therefore, only 19% is not explained.
Find the value of each variable
Answer:
x=6.5
Step-by-step explanation:
This question is on intersecting cords and segments that intersect outside the circle
Forming an equation for this relation;
6(x+6)= 5(5+10)
6x+36=5(15)
6x+36=75.............................collect like terms
6x=75-36
6x=39...........................divide both sides by 6
x=6.5
Trig: Which complex number's graph is shown?
ANSWER
[tex]2 \sqrt{2} ( \cos( \frac{7\pi}{4} + i \sin( \frac{7\pi}{4} ) ) [/tex]
EXPLANATION
The complex number shown has coordinates (2,-2)
or
[tex]z = 2 - 2i[/tex]
The modulus is
[tex] |z| = \sqrt{ {2}^{2} + {( - 2)}^{2} } [/tex]
[tex]|z| = \sqrt{ 8} = 2 \sqrt{2} [/tex]
The argument is
[tex] \theta= \tan^{ - 1} ( \frac{ - 2}{2} )[/tex]
[tex] \theta= \tan^{ - 1} ( -1) = \frac{7\pi}{4} [/tex]
The polar form is
[tex]2 \sqrt{2} ( \cos( \frac{7\pi}{4} + i \sin( \frac{7\pi}{4} ) ) [/tex]
The first option is correct.
Answer:
The first option (the one all the way at the top)
Step-by-step explanation:
a.pex
Leila has $360 in twenty-dollar bills. How many twenty-dollar bills does she have?
18 $20 Dollar Bills
5 Bills In 100
10 Bills In 200
15 Bills In 300
18 Bills In 360
I need help with solving this problem. A picture is attached! Ty
[tex]\bf \stackrel{\stackrel{\textit{net income}}{\textit{revenue}}}{f(x)}=9x^2-54x-144\implies \stackrel{\textit{revenue}}{0}=9x^2-54x-144 \\\\\\ 0=9(x^2-6x-16)\implies 0=x^2-6x-16 \\\\\\ 0=(x+2)(x-8)\implies x= \begin{cases} -2\\ 8&\checkmark \end{cases}[/tex]
since the units sold can't be negative, we can't use -2.
When it goes on sale for $1,600, Mikah buys a new plasma television that is valued at $1,800. He takes $300 from his savings account to use as a down payment and finances the rest
Mikah's assets increased by $1,500.
Answer: B
Step-by-step explanation:
help plz i dont know what to do
Answer:
The area of the irregular figure is 140 sq. ft.
Step-by-step explanation:
Triangle:
16-12=4
6 x 4 = 24
24 x 0.5 = 12
Triangle = 12
Rectangle:
16 x 8
= 128
Rectangle = 128
Total figure:
128+12
= 140
Plzz give me brainlist!!!
Pepper Jackie has 5.8 kg of rainbow sprinkles. If she divides them equally into 8 star containers, how much will be in each star?
Answer:
725 grams
Step-by-step explanation:
You divide 5.8 kg by 8 (the star containers)
and the final answer is 0.725 kg or 725 grams
Sandy mixed together 9 gallons of one brand of juice and 8 gallons of a second brand of juice which contains 48% real fruit juice. Find the percent of real fruit juice in the first brand if the mixture contained 30% real fruit juice.
A) 18%
B) 140%
C) 180%
D) 14%
Answer:
D) 14%
Step-by-step explanation:
Let the percent of the real fruit in the first brand = x
Given that number of gallons of real fruit in the first brand = 9 gallons
Given that percent of the real fruit in the second brand = 48%
Given that number of gallons of real fruit in the second brand = 8 gallons
Given that percent of the real fruit in the mixture = 30%
then number of gallons of real fruit in the mixture = (9+8) = 17 gallons
Then we get equation:
[x% of 9 gallons] + [48% of 8 gallons] = [30% of 17 gallons]
9x+48(8)=30(17)
9x+384=510
9x=510-384
9x=126
x=126/9
x=14
Hence final answer is D) 14%
Answer:D
Step-by-step explanation:jus took test
andre drinks 15 ounces of water, which is 3/5 of a bottle. How much does the bottle hold? Use x for the number of ounces of water the bottle holds.
Answer:
25 ounces of water
Step-by-step explanation:
3/5 = 15
Cross multiplying this:
1 = x
3/5 = 15
3/5x=15
x=25
Answer:
The bottle hold 25 ounces of water
Step-by-step explanation:
To find the amount of water the bottle hold, we will follow the steps below;
let x be the number of ounces of water the bottle holds
3/5 of x = 15 ounces
3/5 × x = 15
[tex]\frac{3X}{5}[/tex] = 15
Multiply both-side of the equation by 5
[tex]\frac{3X}{5}[/tex] × 5 = 15×5
At the left-hand side of the equation 5 will cancel-out 5 leaving us with 3x
3x = 75
Divide both-side of the equation by 3
[tex]\frac{3X}{3}[/tex] = [tex]\frac{75}{3}[/tex]
(On the left-hand side of the equation 3 at the numerator will cancel-out 3 at the denominator leaving us with x while on the right-hand side of the equation 75 will be divided by 3)
x = 25 ounce
An Easter basket contains eggs of three different colors. Find the total number of eggs in the basket if 2 7 of all eggs are green, 1 4 of all are blue and the rest 26 eggs are red.
Answer:
Total number of eggs in basket = 56
Step-by-step explanation:
Let z be the total number of eggs
Green eggs = [tex]\frac{2}{7}[/tex] × z ........1
Blue eggs = [tex]\frac{1}{4}[/tex] × z .......2
Rest of eggs = 26 ........3
The addition of 1, 2 and 3 is equal to z
[tex]\frac{2}{7}[/tex] × z + [tex]\frac{1}{4}[/tex] + 26 = z
[tex]\frac{8z + 7 z}{28}[/tex] + 26 = z ∵GCF for 4 and 7 is 28
[tex]\frac{15z}{28}[/tex] + 26 = z
15z + (26 × 28) = 28z ∵ multiply both sides by 28
15z + 728 = 28z
28z - 15z = 728 .......... rearranging above equation
13z = 728 ⇒ z = [tex]\frac{728}{13}[/tex] ⇒ z = 56
Total number of eggs = z = 56
Answer: There are total 56 eggs in the basket.
Step-by-step explanation: Given that an Easter basket contains eggs of three different colors, out of which [tex]\dfrac{2}{7}[/tex] are green, [tex]\dfrac{1}{4}[/tex] are blue and rest 26 eggs are red.
We are to find the total number of eggs in the basket.
Let x be the total number of eggs in the Easter basket.
Then, according to the given information, we have
[tex]\dfrac{2}{7}\times x+\dfrac{1}{4}\times x+26=x\\\\\\\Rightarrow \dfrac{8x+7x}{28}+26=x\\\\\\\Rightarrow \dfrac{15x}{28}+26=x\\\\\\\Rightarrow x-\dfrac{15x}{28}=26\\\\\\\Rightarrow \dfrac{28x-15x}{28}=26\\\\\\\Rightarrow \dfrac{13x}{28}=26\\\\\Rightarrow x=\dfrac{26\times 28}{13}\\\\\Rightarrow x=56.[/tex]
Thus, there are total 56 eggs in the basket.
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Lloyd's Bakery sold one customer 9 dozen chocolate cookies and 8 dozen oatmeal cookies for $110. The bakery also sold another customer 9 dozen chocolate cookies and 5 dozen oatmeal cookies for $89. How much do the cookies cost?
A dozen chocolate cookies cost $___ and a dozen oatmeal cookies cost $___
To describe the situation, we can write a system of equations. The cost of a dozen chocolate cookies and a dozen oatmeal cookies can be found by solving the system of equations.
Explanation:To write a system of equations to describe the situation, let's assign variables to the unknown quantities. Let's say the cost of a dozen chocolate cookies is x dollars and the cost of a dozen oatmeal cookies is y dollars.
The first equation represents the sale of 9 dozen chocolate cookies and 8 dozen oatmeal cookies for $110. This can be written as:
9x + 8y = 110
The second equation represents the sale of 9 dozen chocolate cookies and 5 dozen oatmeal cookies for $89. This can be written as:
9x + 5y = 89
We now have a system of two equations with two variables. We can solve this system using any method, such as substitution or elimination, to find the values of x and y.
Once we find the values of x and y, we can determine the cost of a dozen chocolate cookies and a dozen oatmeal cookies, respectively.
7 example of independent event
8 pieces of fruit are drawn twice with replacement what is P
Answer:
7.
rolling two number cubes
8.
2/25
Step-by-step explanation:
7.
Events A and B are said to be statistically independent if the probability of A happening, P(A), in no way affects the probability of event B occurring, P(B);
P(A∩B) = P(A) P(B)
If A and B are independent the above equation is always true.
From the list given, rolling two number cubes is an example of independent events since the outcome from the first cube does not affect the outcome of the second cube.
8.
We are informed the bag contains 4 apples, 1 plum, 2 apricots, and 3 oranges. We are required to determine the following probability;
P(Apple then Apricot) given that the fruits are drawn with replacement.
The probability of drawing an apple from the bag is;
(number of apples)/(total number of fruits)
= 4/10 = 2/5
The probability of drawing an apricot from the bag given that the apple drawn is replaced is;
(number of apricots)/(total number of fruits)
= 2/10 = 1/5
Now, P(Apple then Apricot) = 2/5 * 1/5 = 2/25
Which number line represents the solution to |-2x|=4
Step-by-step explanation:
l - 2 x l = 4
2 x = 4
x = 2
Answer:
Answer:
-2 & 2
( option C )
Find an equation for the nth term of the arithmetic sequence.
a10 = 32, a12 = 106 (2 points)
an = -301 + 37(n - 1)
an = -301 + 37(n - 2)
an = -301 + 37(n + 1)
an = -301 - 37(n + 1)
I hope this helps witb you.
Final answer:
To find the nth term of the arithmetic sequence, we calculated the common difference to be 37, and deduced the first term as -301. The equation for the nth term is an = -301 + 37(n - 1). Therefore, option a is correct answer.
Explanation:
To find an equation for the nth term of the arithmetic sequence given two terms, a10 = 32 and a12 = 106, we first need to determine the common difference. The common difference d in an arithmetic sequence is the consistent interval between consecutive terms, calculated by subtracting one term from the next. In this case:
d = a12 - a10
d = 106 - 32
d = 74
Since the terms are two positions apart, this common difference corresponds to two steps, meaning the common difference per step is 74 / 2 = 37.
Now, we know that the general formula for the nth term of an arithmetic sequence is:
an = a1 + (n - 1)d
Where a1 is the first term. To find a1, we can plug in the values for a10:
32 = a1 + (10 - 1)×37
32 = a1 + 9×37
32 = a1 + 333
a1 = 32 - 333
a1 = -301
Now, the equation for the nth term of the sequence is:
an = -301 + 37(n - 1)
Therefore, option a is correct answer.
Is this a function, explain answer
No. There are two spots in the vertical line. (Vertical line test)
ANSWER
No, there are two points with the same x-coordinates.
EXPLANATION
The relation in the graph is not a function.
There are two points in the relation that have the same x-coordinates.
These points are (1,1) and (1,3).
As a result of this , a vertical line will intersect the graph of the relation at these two points.
Since the graph of the relation does not pass the vertical line test, it is not a function.
What is the equation !!! Math 3. 10 points HELP NEEDED!!!
ANSWER
B.
[tex]{f}^{ - 1} (x) = {x}^{2} - 3[/tex]
EXPLANATION
Given
[tex]f(x) = \sqrt{x + 3} [/tex]
Let
[tex]y= \sqrt{x + 3} [/tex]
Interchange x and y.
[tex]x= \sqrt{y + 3} [/tex]
Square both sides
[tex] {x}^{2} = y + 3[/tex]
Solve for y
[tex]y = {x}^{2} - 3[/tex]
Therefore the inverse of f(x) is
[tex] {f}^{ - 1} (x) = {x}^{2} - 3[/tex]
Which graph represents the compound inequality? n<-2 or n 24
3 is correct, because for n more than 4 we must have node on x=4 too
The mean of a data is 52.4 and the standard deviation is 11.8.What percent of the data is between 40.6 and 64.2?
A.50%
B.68%
C.95%
D.99.7%
Answer:
B. 68%
Step-by-step explanation:
Any number within 1 positive or negative deviation of the mean represents 68% of normally distributed data.
Math explanation:
52.4+11.8=64.2
52.4-11.8=40.6
Your answer is b, 68%
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
A. 120 metres
B. 180 metres
C. 324 metres
D. 150 metres
Answer:
D. 150 metres
Step-by-step explanation:
speed = (60) times 5/18 = 50/3
lenght of the train = (speed x time)
lenght = 50/3 times (9)
= 150 m.
How do you simplify the expression “3x (2/x + 5) +4”?
Answer:
15x + 10
Step-by-step explanation:
distribute the 3x to the 2/x and 5 inside the parentheses:
3x(2/x) + 3x(5) + 4
multiply:
6x/x + 15x +4
There is x in the numerator and the denominator of 6x/x, so the xs cancel:
6 + 15x + 4
15x + 10
Answer:
15x+10
Step-by-step explanation:
3x (2/x + 5) +4
Distribute the 3x
3x*2/x + 3x*5 +4
6x/x + 15x +4
6+15x+4
Combine like terms
15x+10
Summer camp surveys 40 campus to see if they would take tennis next week. 12 camper say they would. If they were 250 campers. How many campers should the counselors plan on for next week’s tennis lesson
Answer:
76.8
Step-by-step explanation:
40/250 = 0.16 (1 campers vote)
0.16 x 12 = 1.92
1.92 x 40 = 76.8
To estimate the number of campers who might be interested in tennis lessons, a proportion can be used based on a survey of 40 campers, 12 of whom were interested. Scaling this up to the total 250 campers, approximately 75 campers might be interested in the tennis lessons.
The question is asking us to estimate the number of campers who would be interested in taking tennis lessons at a summer camp. From a small survey of 40 campers, 12 said they would take tennis lessons. To find out how many campers out of the total 250 might be interested, we need to use proportion. The proportion of campers interested in the survey is 12 out of 40, which we can set as equal to x out of 250, where x is the number we want to find. The equation is set up as follows:
12 / 40 = x / 250
Multiply both sides by 250 to isolate x:
250 × (12 / 40) = x
Calculate x:
x = 250 × (12 / 40) = 75
Therefore, the counselors should plan on approximately 75 campers attending next week’s tennis lesson.
kayla is sending invitations to 20 of her freinds for a pizza party. if there are 12 invitatons left to end out, how many invitations has she already mailed?
Kayla has mailed out 8 invitations
find the volume of the sphere. express your answer in term of Pie
Answer:
[tex]\large\boxed{36\pi}[/tex]
Step-by-step explanation:
The formula of a volume of a sphere:
[tex]V=\dfrac{4}{3}\pi R^3[/tex]
R - radius
We have R = 3 ?. Substitute
[tex]V=\dfrac{4}{3}\pi(3^3)=\dfrac{4}{3}\pi(27)=(4)\pi(9)=36\pi[/tex]
If the radius is 30, then the volume is:
[tex]V=\dfrac{4}{3}\pi(30^3)=\dfrac{4}{3}\pi(27,000)=(4)\pi(9,000)=36,000\pi[/tex]
If 30 is the length of diameter, then the radius R = 30 : 2 = 15.
Therefore the volume:
[tex]V=\dfrac{4}{3}\pi(15^3)=\dfrac{4}{3}\pi(3,375)=(4)\pi(1,125)=4,500\pi[/tex]
The odometer of a new automobile functions improperly and registers only 2 miles for every 3 miles driven. If the odometer indicates 48 miles, how many miles has the automobile actually been driven?
Final answer:
The odometer reads 2 miles for every 3 actual miles driven. To find the actual distance when the odometer shows 48 miles, a proportion is used, leading to the calculation that the automobile has driven 72 actual miles.
Explanation:
The student is dealing with a proportion problem in mathematics where the automobile's odometer is inaccurate. Given that the odometer registers 2 miles for every 3 miles driven, we can set up a proportion to find the actual distance driven. If the odometer indicates 48 miles, we can write the proportion as follows:
2 miles (odometer) / 3 miles (actual) = 48 miles (odometer) / x miles (actual)
Cross-multiply to solve for x: 2x = 48 × 3
Calculate x: 2x = 144
Divide both sides by 2 to isolate x: x = 144 / 2
Find the value of x: x = 72 miles
Therefore, the automobile has actually been driven 72 miles.
jane lives 1 3/8 miles from the airport. She drove from her house to the airport and back 2 times. How far did Jane drive? Move a number or numbers into the blank to show the answer
Answer:
[tex]5\frac{1}{2}\ mi[/tex]
Step-by-step explanation:
we know that
[tex]1\frac{3}{8}\ mi=\frac{1*8+3}{8}=\frac{11}{8}\ mi[/tex]
She drove from her house to the airport and back 2 times
so
Multiply the distance from her house to the airport by 4
[tex](4)*\frac{11}{8}=\frac{11}{2}=5\frac{1}{2}\ mi[/tex]
-x^1 -10x -24 = 0 I’ll melt your popsicle
I don't have popsicle but I'm sure you will melt by this answer.
[tex]
-x^1-10x-24=0 \\
x+10x+24=0 \\
11x=-24 \\
\boxed{x=\frac{-24}{11}}
[/tex]
Hope this helps. (please don't melt)
r3t40
select the equation of the line that passes through the point (3,-1) and is parallel to the line on the graph
ANSWER
y=-1
EXPLANATION
The given line in the graph has equation
[tex]y = 2.5[/tex]
This line is a horizontal line.
All horizontal line has a slope of 0.
Let the equation of the line that is parallel to this line be
[tex]y = mx + b[/tex]
The slope of this line must also be zero.
We substitute the slope, m=0 and the point (3,-1) into this equation to get:
[tex] - 1 = 0(3) + b[/tex]
[tex] \therefore \: b = 0[/tex]
Hence the required equation is
[tex]y = - 1[/tex]
ANSWER
y= -1
Step-by-step explanation:
The given line in the graph has equation
This line is a horizontal line.
All horizontal line has a slope of 0.
Let the equation of the line that is parallel to this line be
The slope of this line must also be zero.
We substitute the slope, m=0 and the point (3,-1) into this equation to get:
Hence the required equation is