Answers
Related Questions
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
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.
Write [tex](2a)^3[/tex] without exponents.
Answers
(2a)^3 =(2)^3 (a)^3 = 8(a)^3
what is x
3x = 0.5x2
Answers
Jordan is cutting a 2 meter by 1 1/4 meter piece of rectangular paper into two pieces along its diagonal. what is the area of each of the pieces?
Answers
area = 1/2 * b * h=
1/2 * 2 * 1 1/4 = 1 1/4 square meters each
Answer: area = 1/2 * b * h=
1/2 * 2 * 1 1/4 = 1 1/4 square meters each
The slope of a line running through points (2, 3) and (1, 7) is:
4.
-4.
2.
-2.
Answers
use any method to solve the equation. If necessary, round to the nearest hundredth. 11x^2=8
Answers
x^2 = 8/11
x = +/- sqrt (8/11)
x = 0.85 , -0.85
Answer:
x = + 0.85 , -0.85
Step-by-step explanation:
Given : 11x² = 8.
To find : use any method to solve the equation. If necessary, round to the nearest hundredth.
Solution : We have given that : 11x² = 8.
First we divide both sides by 11,
x² = [tex]\frac{8}{11}[/tex].
Now taking square root both sides .
x = [tex]\sqrt{\frac{8}{11}}[/tex].
x =± 0.8528.
Therefore, x = + 0.85 , -0.85
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.
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
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.
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
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
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°
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
Lou has 3 over 4 of an hour to do his math homework, play video games and help with dinner. If he splits his time equally between the three activities, how much time will he spend on each?
_____ of an hour
Answers
3/4 divided by 3
3/4 *1/3 = 3/12 = 1/4
Simplify the expression
Answers
D.
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 "=".
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
Find x and the measures of the indicated parts.
BC and AC
Answers
you can make a proportion:
5÷10=6÷(x+3+9)
and then find ac=12 then find the values of x and bc
If 3 consecutive integers sum to 63, the largest of the 3 = ?
Answers
3x+3=63
3x=60
x=20
Consecutive integers are: 20, 21, 22
Answer: 22
This problem states that the sum of 3 consecutive integers is 63 and it asks us to find the largest integer.
Three consecutive integers can be represented as followed.
X → first integer
X + 1 → second integer
X + 2 → third integer
Since the sum of our three consecutive integers is 24, we can write an equation.
X + X + 1 + X + 2 = 63
We can simplify our equation on the left and it will read...
3x + 3 = 63 -3 -33x = 60 ÷3 ÷3 ← divide both sides by 3X = 20Largest integer = X + 220 + 2 = 22Largest integer = 22If 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:
How do you do this problem?
Answers
HELP ASAP PLEASE QUESTION IS
Answers
9*12=108
128+108=236
236 is the answer
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 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.
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
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
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
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 :)
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