Answers
The base here is 8 and the height is 3.
8*3=24
24/2=12
The answer is B, 12 yd^2
Related Questions
Two pools are being filled with water. To start, the first pool contains 922 liters of water and the second pool contains 1300 liters of water. Water is being added to the first pool at a rate of 33.75 liters per minute. Water is being added to the second pool at a rate of 20.25 liters per minute.
After how many minutes will the two pools have the same amount of water?
How much water will be in each pool when they have the same amount?
Answers
After 28 minutes, both pools will have the same amount of water, which will be 1653 liters in each pool.
Explanation:To find out after how many minutes the two pools will have the same amount of water, we can set up an equation where the volume of water in the first pool plus the water added over time equals the volume of water in the second pool plus the water added to it over the same period.
Let x represent the number of minutes after which both pools will have the same amount of water. The equation can be expressed as:
922 + 33.75x = 1300 + 20.25x
To solve for x, we subtract 20.25x from both sides:
922 + 13.5x = 1300
Now, subtract 922 from both sides to isolate the term with x:
13.5x = 378
Divide both sides by 13.5 to solve for x:
x = 28
So, it will take 28 minutes for both pools to have the same amount of water.
To calculate how much water will be in each pool at that time, we can multiply the rate by the number of minutes and add the initial amount of water for either pool:
For the first pool: 922 + (33.75 * 28) = 1653 liters
For the second pool: 1300 + (20.25 * 28) = 1653 liters
Therefore, after 28 minutes, each pool will contain 1653 liters of water.
What are the roots of the equation y=x^2 -5x-24
Answers
(x-8)(x+3)
Check:
-8+3=-5
-8*3=-24
Use ZPP
x-8=0
x=8
x+3=0
x=-3
Final answer: x=-3, x=8
How many ways are there to select 7 countries in the united nations to serve on a council if 1 is selected from a block of 56, 3 are selected from a block of 63 and 3 are selected from the remaining 70 countries?
Answers
The drawing below is an example of what kind of perspective?
One-point
Two-point
Three-point
Four-point
Five-point
Answers
Answer:
Two-point
Step-by-step explanation:
"Orthogonal" lines intersect the horizon at two points. This is an example of 2-point perspective.
You need to buy 5 notebooks for your classes at school. Each notebook costs $2.79. What is the total costs of 5 notebooks Before tax?
Answers
multiply 2.79 x 5
2.79*5 = 13.95 before tax
What is the point-slope equation of a line with slope -4 that contains the point (-2, 7)?
A. y + 7 = -4(x + 2)
B. y + 7 = -4(x - 2)
C. y - 7 = -4(x - 2)
D. y - 7 = -4(x + 2)
Answers
y - y1 = m(x - x1)
m = -4
(-2, 7)
y - 7 = -4(x + 2)
answer is D
NEED ASAP
Which linear inequality is represented by the graph?
y ≤ 1/3x − 1
y ≥ 1/3x − 1
y < 3x − 1
y > 3x − 1
Answers
Answer:B
Answer:
[tex]y\geq \frac{1}{3}x -1[/tex]
Step-by-step explanation:
To find linear inequality, first we find the equation of the line.
LEts pick two points (3,0) and (0,-1)
To get equation of a line [tex]y=mx+b[/tex], use slope formula to find slope m
[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{0+1}{3-0} =\frac{1}{3}[/tex]
y intercept is (0,-1) . so b=-1
The equation of the line becomes
[tex]y=\frac{1}{3}x -1[/tex]
now we look at the shaded region.
the graph is shaded at the top and also we have solid line . so we use >= symbol
[tex]y\geq \frac{1}{3}x -1[/tex]
The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.
Which model best represents the data?
A.) y = 47(1.191)x
B.) y = 34(1.204)x
C.) y = 26.9x – 1.3
D.) y = 27x – 4
Answers
Answer:
Hence, the model that best represents the data is:
[tex]y=26.9x-1.3[/tex]
Step-by-step explanation:
We are given a table that shows the estimated number of lines of code written by computer programmers per hour when x people are working.
We are asked to find which model best represents the data?
So for finding this we will put the value of x in each of the functions and check which hold true that which gives the value of y i.e. f(x) as is given in the table:
We are given 4 functions as:
A)
[tex]y = 47(1.191)^x[/tex]
B)
[tex]y=34\times (1.204)^x[/tex]
C)
[tex]y=26.9x-1.3[/tex]
D)
[tex]y=27x-4[/tex]
We make the table of these values at different values of x.
x A B C D
2 66.66 49.3 52.5 50
4 94.57 71.44 106.3 104
6 134.14 103.57 160.1 158
8 190.27 150.14 213.9 212
10 269.91 217.64 267.7 266
12 382.85 315.5 321.5 320.
Hence, the function that best represents the data is:
Option C.
y=26.9x-1.3
The coordinates of quadrilateral FGHJ are F(-5, -3), G(-3, 3), H(3, 5), and J(7, -1).
Find the midpoint of FJ
A) (0,4)
B) (1, -2)
C) (-4, 0)
D) (5, 2)
This is a question from my math chapter 20: Figures in the Coordinate Plane
Answers
i think that is C i had that one but i forget
hope that help
BMK
Answer:
B. [tex](1,-2)[/tex]
Step-by-step explanation:
We have been given that coordinates of quadrilateral FGHJ are F(-5, -3), G(-3, 3), H(3, 5), and J(7, -1). We are asked to find the coordinates of mid-point of segment FJ.
We will use mid-point formula to solve our given problem.
[tex]\text{Mid-point}=\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]
Upon substituting the coordinates of points F and J in mid-point formula we will get,
[tex]\text{Mid-point}=\frac{-5+7}{2},\frac{-3+-1}{2}[/tex]
[tex]\text{Mid-point}=\frac{2}{2},\frac{-4}{2}[/tex]
[tex]\text{Mid-point}=1,-2[/tex]
Therefore, the coordinates of mid-point of segment FJ are [tex](1,-2)[/tex] and option B is the correct choice.
Simplify the expression
Answers
D.
How many 6-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed?
Answers
Final answer:
There can be 900,000 unique 6-digit numbers formed using the digits 0-9 with repetitions allowed, considering the first digit cannot be 0.
Explanation:
Calculating 6-Digit Numbers with Repetitions
The question pertains to the number of unique 6-digit combinations that can be made from the digits 0-9 when repetitions are allowed. Since the first digit of a 6-digit number cannot be 0 (as it would make the number a 5-digit number), there are 9 possibilities for the first digit (1-9). For each of the five remaining positions, all 10 digits (0-9) are possibilities because we are allowing repetitions. Therefore, the total number of combinations is calculated by multiplying the possibilities for each digit place.
The solution is as follows: 9 possibilities for the first digit times 10 possibilities for each of the second, third, fourth, fifth, and sixth digits.
9 (first digit) * 10 (second digit) * 10 (third digit) * 10 (fourth digit) * 10 (fifth digit) * 10 (sixth digit) = 900,000 unique 6-digit numbers that can be formed.
You pick 3 digits (0-9) at random without replacement, and write them in the order picked. what is the probability that you have written the first 3 digits of your phone number? assume there are no repeats of digits in your phone number.
Answers
P = 1/720
The required probability of the numbers picked of the first three digits of the mobile number is 0.037.
Given that,
Pick 3 digits (0-9) at random without replacement, and write them in the order picked. what is the probability that you have written the first 3 digits of your phone number? assume there are no repeats of digits in your phone number is to be evaluated.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
From 0 to 9 we have 10 numbers,
For the number to be picked,
There must be no repetition,
So the number of ways to 1 pick 1st number is 10,
The number of ways to pick 2nd number is 9
The number of ways to pick 3rd number is 8
Total number of ways = 10 + 9 + 8 = 27
Now probability, that this three-digit would be a mobile number,
= 1 / 27
= 0.037
Thus, the required probability of the numbers picked of the first three digits of the mobile number is 0.037.
Learn more about probability here:
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convert this percent into decimal form
3
82-- % same as 82 3/4%
4
Answers
82% = 0.82
823/4% = 0.8275
$5.50 markup 75% what is the selling prize
Answers
To calculate the selling price with a 75% markup on a $5.50 item, multiply the original cost by 0.75 to find the markup amount and then add it to the original cost. The final selling price is $9.63.
Calculating the Selling Price with a Markup
To determine the selling price of an item with a 75% markup, follow these steps:
Determine the original cost of the item, which is $5.50 in this case.Calculate the markup amount by multiplying the original cost by the markup percentage. Express the percentage as a decimal:Markup Amount = Original Cost × Markup Percentage
Markup Amount = $5.50 × 0.75 = $4.125Add the markup amount to the original cost to get the selling price:
Selling Price = Original Cost + Markup Amount
Selling Price = $5.50 + $4.125 = $9.625Optionally, round the selling price to two decimal places (if necessary):
Selling Price ≈ $9.63
Therefore, the selling price for the item with a 75% markup on an original cost of $5.50 is $9.63.
Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) lim t → −2 t4 − 3 2t2 − 3t + 3
Answers
Final answer:
To evaluate the limit of the given function, substitute the value that t is approaching into the expression. In this case, t is approaching -2. Plugging -2 into the function, we get 0.7647.
Explanation:
To evaluate the limit of the given function, we can substitute the value that t is approaching into the expression. In this case, t is approaching -2. Plugging -2 into the function, we get:
lim t → -2 t^4 - 3 / 2t^2 - 3t + 3 = (-2)^4 - 3 / 2(-2)^2 - 3(-2) + 3 = 16 - 3 / 8 + 6 + 3 = 13 / 17 = 0.7647
Therefore, the limit is approximately 0.7647.
Melinda has 1 seashell, and Jun has 9 seashells. If Melinda and Jun put their seashells together and then divide them up equally, how many will each one of them have? 3 5 8 10
Answers
Answer:
B.) 5
Step-by-step explanation:
Just did this :3
Raina wants to paint the ceiling of her restaurant. The ceiling is in the shape of a square. Its side lengths are 55 feet. Suppose each can of paint will cover 275 square feet. How many cans will she need to paint the ceiling?
Answers
area of the ceiling = 55 x 55 = 3025 square feet
3025/275 = 11 cans
If i want to be a real boy whats the equation?
Answers
225-(7.5²•3.14)=48.375 or 48.38 :)
Answer: 15²=225
225-(7.5²•3.14)=48.375 or to the nearest form 48.38.
Step-by-step explanation: In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=".
If a circle has a diameter of 30 meters, which expression gives its area in square meters?
A.15^2 x π
B. 30 x π
C. 30^2 x π
D. 15 x π
Answers
Radius of a circle is half of the diameter
We have the diameter 30 meters, so the radius is 30÷2=15 meters
Area of the circle = [tex] \pi (15)^{2} [/tex]
Note: The option given doesn't show the [tex] \pi [/tex] symbol but it seems like the correct answer is option A
Answer:
A.15^2 x π (APEX)
Step-by-step explanation:
At the movie theatre, child admission is $6.20 and adult admission is $9.80 . On Monday, twice as many adult tickets as child tickets were sold, for a total sales of $593.40 . How many child tickets were sold that day?
Answers
a=2c
6.2c+9.8a=593.4, using a from above in this equation gives you:
6.2c+9.8(2c)=593.4 perform indicated multiplication on left side
6.2c+19.6c=593.4 combine like terms on left side
25.8c=593.4 divide both sides by 25.8
c=23
So 23 child tickers were sold that day.
Simplify 1/x-10 divided by 9x/x^2-9x-10
Answers
[tex] \frac{1}{x-10} / \frac{9x}{ x^{2} -9x-10} [/tex]
When dividing, the first term is the dividend, the second term is the divisor and the answer is the quotient. When you divide fractions, you multiply the dividend with the reciprocal of the divisor. In this case
[tex] \frac{1}{x-10} * \frac{x^{2} -9x-10}{9x } [/tex]
The answer is
[tex] \frac{ x^{2} -9x-10}{9 x^{2} -90x} [/tex]
Furthermore, we can simplify the terms through factoring, The numerator could be factored into (x+1)(x-10). The denominator could be factored to 9x(x-10). Since the term (x-10) is common, you can cancel them to get to the final answer which is
(x+1)/9x
Answer:(x+1)/9x
Step-by-step explanation: Hope this helps
The formula F=9/5(K−273.15)+32
converts a temperature from kelvin K to degrees Fahrenheit F
a. Solve the formula for K
Answers
K=5/9(F-32)+273.15
The formula for K in terms of F is [tex]K = \frac{5}{9} (F - 32) + 273.15[/tex]
The given expression:
[tex]F = \frac{9}{5} (K - 273.15) + 32[/tex]
To find:
the formula for KThe formula for K is obtained by making K the subject of the formula as shown below;
[tex]F = \frac{9}{5} (K - 273.15) + 32\\\\subtract \ 32 \ from \ both \ sides \ of \ the \ equation\\\\F - 32 = \frac{9}{5} (K - 273.15)\\\\multiply \ both\ sides \ by \ 5\\\\5(F - 32) = 9(K - 273.15)\\\\divide \ both\ sides \ by \ 9\\\\\frac{5}{9} (F - 32) = K - 273.15\\\\add \ 273.15 \ to \ both\ sides \ of \ the \ equation\\\\\frac{5}{9} (F - 32) + 273.15 = K\\\\[/tex]
Thus, the formula for K in terms of F is [tex]K = \frac{5}{9} (F - 32) + 273.15[/tex]
Learn more here: https://brainly.com/question/15469690
Use the Remainder Theorem to determine which of the following is a factor of p(x) = x 3 - 2x 2 - 5x 6.
Answers
Answer:
x-3
Step-by-step explanation:
He measures of the angles of a triangle are in the extended ratio 4 : 5 : 6. what is the measure of the smallest angle?
Answers
4x + 5x + 6x = 180
15x = 180
x = 180/15
x = 12
the measure of the smallest angle = 4x = 4*12 = 48°
Evaluate the expression m + o for m = 9 and o = 7.
Answers
o = 7
m + 0 = 9 + 7 = 16
Hence, the answer is 16.
If tan theta = -4/3 in quadrant II, what is cos theta?
A. -4/5
B. 3/5
C. 4/5
D. -3/5
Answers
notice, the tangent has a negative sign, for that to happen, either the numerator or denominator must be negative, who may that be? well, we know the angle is in the II quadrant, on the II quadrant, the cosine or x-coordinate (adjacent side) is negative, so, is the adjacent.
that means, the opposite side is 4 and the adjacent one is -3
well, let's find the hypotenuse
[tex]\bf \textit{using the pythagorean theorem}\\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}\qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{(-3)^2+4^2}\implies c=\sqrt{25}\implies \boxed{c=5}\\\\ -------------------------------\\\\ cos(\theta)=\cfrac{adjacent}{hypotenuse}\qquad \qquad cos(\theta )=\cfrac{-3}{5}[/tex]
bear in mind that, the square root will give use +/- roots, however, in the case of the hypotenuse, is just the radius unit, thus is never negative.
Answer:
The answer is:
D. -3/5
what is x
3x = 0.5x2
Answers
What is the approximate difference in the amount of wax needed to make a candle from each of these molds? use π = 3.14. 16.75 cubic inches 20.93 cubic inches 24.25 cubic inches 33.49 cubic inches?
Answers
what is the question ?????
What is the approximate difference in the amount of wax needed to make a candle from each of these molds? use π = 3.14. 16.75 cubic inches 20.93 cubic inches 24.25 cubic inches 33.49 cubic inches? what are we taking the diffference from
The slope of a line running through points (2, 3) and (1, 7) is:
4.
-4.
2.
-2.
Answers
Which is the equation of the trend line that can be generated by using the data from year 1 and 5?
Answers
y = 6.75x + 81.25
you can double check by plug in x values (year) into the equation to find out y values (# of participants)
For those looking for the letter the answer is C
Your welcome :)