Answer:
C
Step-by-step explanation:
The number of hours to fill the pool will be 180. Then the correct option is C.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
The table below shows how the number of hours needed to fill a pool depends on the flow rate of the hoses used to fill it.
Flow rate (gal/hr) Time (hours)
x y
60 300
45 400
36 500
30 600
Then the amount of liquid in the pool will be
⇒ 60 x 300
⇒ 18,000 gallons
If this much liquid is filled with hose that has a rate of 40 gallons per hour, then the number of hours will be
⇒ 18,000 / 40
⇒ 450 hours
Then the number of hours if two hoses are used to fill the pool that one has a rate of 40 gallons per hour and one has a rate of 60 gallons per hour will be
1/T = 1/450 + 1/300
1/T = 1 / 180
T = 180 hours
Then the number of hours to fill the pool will be 180.
Then the correct option is C.
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7X -6Y=-3 what is the slope of the parallel and perpendicular line
Answer:
parallel: 7/6perpendicular: -6/7Step-by-step explanation:
You want the slopes of the lines parallel and perpendicular to 7x -6y = -3.
SlopeThe slope is the x-coefficient when the equation is in slope-intercept form:
y = mx +b
Solving for y gives ...
-6y = -7x -3
y = 7/6x +1/2 . . . . . divide by -6
The slope of the given line is 7/6.
ParallelA parallel line will have the same slope: 7/6.
PerpendicularA perpendicular line will have opposite reciprocal slope: -6/7.
29) Which is a counterexample that shows the following conjecture is false: "If 21 and 22 are complementary, then one of the angles is obtuse" ? A. m/1 = 90° and m42 = 90° B. m/1 = 53° and m42 = 127° C. mz1 = 100° and m42 = 80° D. mz1 = 45° and mz2 = 45
D. mz1 = 45° and mz2 = 45 are complementary angles (mz1 + mz2 = 90°), but neither angle is obtuse (greater than 90°), so the guess is wrong. This is a counter-example to show.
What are supplementary angles?A supplementary angle is an angle where the sum of two angles is 90 degrees. That is, if angle A and angle B are complementary, angle A measurement + angle B measurement = 90 degrees. Supplementary angles may be adjacent (having a common vertex and edge) or non-adjacent (having no common vertex or edge), but they always complement each other.
There are various kinds of angles to study.
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John needs to print 36 copies of his colored poster. His HP printer can print 16 copies in 5 minutes. His Epson printer can print 4 copies in 1 minute.
9a) Enter an equation that can be used to find the number of minutes, t, John would take to make 36 copies if he used both printers. Enter your response in the first response box. (DO NOT PUT SPACE IN YOUR ANSWER. USE t AS YOUR VARIABLE. Write fractions using the correct order of operations.)Plz help
Answer:
It would probably be 36t
Step-by-step explanation:
because if you think about It.
It is mainly asking you how long it is going to take, so you need a a equation to find the answer.
-John needs 36 copies
- Hp printers out 16 in 5 minutes
- Epson printer out 4 in 1 minutes
so 36 x t or 36t
 !!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING THAT IS NOT AN ANSWER!!!
Twice a number, decreased by 4, Is at least 12.Which of the following is a solution?
Image above
Answer:
2x-8=1/2-2
Step-by-step explanation:
Answer: 8
So, the first approach with this problem you should take is writing out the mathematical expression in association to what is being described.
To help break down the statement, let's look over it "twice a number (i.e., the number we are looking for multiplied by 2), decreased by 4 (subtraction), is at least 12 (equals that value).
Therefore,
2(x) - 4 = 12
Using algebra to isolate the x variable, we find that:
x = 8
I hope that I understood what was being asked enough to help!
What is the length of the altitude of the equilateral triangle below? A. 6 B. 2 C. 2/3 D. /48 E. 36 F. 6 /3
Answer:
Step-by-step explanation:
It’s A
The length of the altitude of the right triangle given is 6.
What is Right Angled Triangle?Right angled triangle are those triangle for which one of the angle is 90 degrees.
The given triangle is an equilateral triangle.
All the sides are equal.
Each of the side = 4√3
Altitude divides one of the side in to two equal halves.
Using Pythagoras theorem,
Altitude = √(4√3)² - (2√3)²
= √(16×3) - (4 × 3)
= √48 - 12
= √36
= 6
Hence the altitude of the triangle is 6.
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If I ate 300 apples and there were 29 left how many were there in the start. Or before I ate the apples.
 what’s the y intercept and slope of all of them? I give Brainly
9514 1404 393
Answer:
slope: 6; y-intercept: -3slope: 11; y-intercept: -1slope: 2; y-intercept: -13slope: 1; y-intercept: -6Step-by-step explanation:
The slope is found using the slope formula. It works well to choose ordered pairs that only differ by 1 in their x-value.
m = (y2 -y1)/(x2 -x1)
The y-intercept is the y-value when x=0. If it is not in the table, it can be found from one point and the slope.
b = y1 -m·x1
__
1) slope = (9 -3)/(2 -1) = 6
y-intercept = -9 -6(-1) = -3
__
2) slope = (21 -(-1))/(2 -0) = 22/2 = 11
y-intercept = -1 . . . from table for x=0
__
3) slope = (-9-(-11))/(2-1) = 2
y-intercept = -11 -(2)(1) = -13
__
4) slope = (-4 -(-5))/(2 -1) = 1
y-intercept = -7 -1(-1) = -6
how to figure out how many data points are in a data set
Answer:
Step-by-step explanation:
read the data numbers
How many solutions does the system of linear equations represented in the graph below have?
A. One solution
B. Infinitely many solutions
C. No solution
D. None of the above
In the diagram , r = 3 and x = 45. What is the volume of the remaining part of the hemisphere to the nearest tenth of a cubic unit? HINT subtracting 45 degrees leaves about % of the Hemisphere
to solve 2/5 x = 14, you multiply both sides of the equation by 5/2. your friend divides both sides of the equation by 2/5. who is right? explain.
Answer:
both are right
Step-by-step explanation:
2/5x = 14
multiply both sides by 5/2:
(5/2)(2/5)x = 14(5/2)
x = 70/2 = 35
However, dividing by 2/5 is the same as multiplying by 5/2, so you are BOTH right. Dividing by a fraction is the same as multiplying by the reciprocal of the fraction.
please help will give brainliest
Answer:
V = 170 in³
Step-by-step explanation:
The volume of a triangular pyramid
V = (1/3)Ah
where A = area of the triangular base, and H = height of the pyramid
---------------------------
A = (1/2)(12)(5)
A = 30
V = (1/3)(30)(17)
V = 170 in³
Pls help me answer the question down in the image below
Using the concept of proportion to find the value of x in the similar triangle, x is equal to 6.67
What is Similar Triangle TheoremSimilar triangle theorem states that if two triangles have corresponding angles that are equal, then the sides of the triangles are proportional to each other. This theorem can be used to solve problems involving triangles, such as finding the lengths of missing sides.
We can use the concept of ratio to find the value of x.
12 / 5 = 16 / x
Cross multiply both sides and solve for x
12 × x = 16 × 5
12x = 80
x = 80 / 12
x = 6.67
The value of x is 6.67
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checking account a charges a montly service fee of 3 and a per check fee of .02 while checking account b charges a montly service fee of 2 and a per check fee of .03 how many checks would a person have to write for the two accounts to cost the same
Answer:
good morning I was just asking when will I be
Ramon invested a total $9,700 into two accounts, account 1 earns 6% simple interest and account 2 earns 4% simple interest. After one year, the total interest earned from both accounts was $466. Let X be the amount you invested in account 1 and y be the amount invested in account 2
Answer:
In the account that paid 3% Ramon put $800
In the account that paid 6% Ramon put $1,600
Step-by-step explanation:
Answer:
x+y= 9700 & 0.06x + 0.04y=466
Step-by-step explanation:
let X & Y be each account. Together, they are $9,700.
So, x+y=9700
thus, account 1 (x) earns 6 %. which converted to decimal is 0.06
account 2 (y) earns 4 % which converted is 0.04
It also said that both accounts were $466, after 1 year.
0.06x+0.04y=466
Find y'' for x² + y⁴ = 20
now, this is implicit differentiation, so it comes with the assumption that "y" is a function in "x terms", as opposed to a plain vanilla variable, whilst "x" is just that, so
[tex]\cfrac{d}{dx}[x^2+y^4=20]\implies 2x+\stackrel{chain~rule}{4y^3\cdot \cfrac{dy}{dx}}=0\hspace{5em}\cfrac{d}{dx}\left[ 2x+4y^3\cdot \cfrac{dy}{dx}=0 \right] \\\\\\ 2+\stackrel{product~rule}{\left( 12y^2\cdot \cfrac{dy}{dx}+4y^3\cdot \cfrac{d^2y}{dx^2} \right)}=0\implies 2+12y^2\cdot \cfrac{dy}{dx}+4y^3\cdot \cfrac{d^2y}{dx^2}=0 \\\\\\ 2+12y^2\cdot \cfrac{dy}{dx}=-4y^3\cdot \cfrac{d^2y}{dx^2}\implies {\Large \begin{array}{llll} \cfrac{2+12y^2\cdot \frac{dy}{dx}}{-4y^3}=\cfrac{d^2y}{dx^2} \end{array}}[/tex]
The baby giraffe weighed 132 pounds at birth. He gained weight at a steady rate for the first 7 months until his weight reached 538 pounds. How much did he gain each month? Need an equation
Answer: 58lbs
Step-by-step explanation:
Calculate the difference between 132 and 538. You can do this by subtracting.
538
- 132
Help me with this question
9514 1404 393
Answer:
A. (0, -1)
Step-by-step explanation:
The x-coordinate of the y-intercept is always zero (eliminates choices B and D. Here, we can see that extending the given line will make it cross the y-axis below the x-axis, where y-values are negative (eliminates choice C).
We can see that the slope of the line is a rise of 1 for a run of 2 units to the right. The point that is 1 above and 2 right of (-2, -2) is (0, -1), the y-intercept.
Use the picture below to answer the question.
6 ft
The angle of elevation from the swimmer to the lifeguard is 35*
Find the distance x from the swimmer to the base of the lifeguard chair.
Find the distance y from the swimmer to the lifeguard.
Round to the nearest tenth as needed.
Select the correct response
x=7.3ft, y= 3.4ft
x=8.6 ft y=10.5 ft
x=3.4ft, y=73 ft
x=10.5 ft, y= 8.6 ft
Answer: x = 8.6 y=10.5
Step-by-step explanation:
This is a question about trig identities, familiarize yourself with sin, cos, tanIn this problem, our value for degrees is 35 and our opposite side is 6ftOur variables to solve are x and y, x being the adjacent size and y being the hypothenusey has to be the longest size, it being the hypothenuse, so eliminate the first and last optionstan = opposite/adjacent so, tan(35)=6/x.solve this equation for x, yielding 8.6For y, using the fact that sin=opposite/hypothenusesubstitute and get the equation sin(35)=6/ysolve and get y =10.5x=8.6 and y= 10.5An initial amount of $1300 is invested in an account at an interest rate of 1% per year, compounded continuously. Find the amount in the account after five years. Round your answer to the nearest cent.
Answer:
65, given the amount of $1300 times 0.01 percent times 5 years would equal $65 over 5 years, to break it down, multiply 1300 times 0.01 times 5.
Step-by-step explanation:
What is 1/6 divided by 4
Answer: 1/24 or 0.0416
Step-by-step explanation:
this is so easy its 4.5
What’s the answer ?
Solve |2x - 3| ≥7
Answer:
x ≤ −2 or x ≥ 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
which of the expressions below has a 6 in the tenths place if the difference a) 17.45 - 8,81 b) 12.35 - 1.76 c) 5.78 - 2.16 d) 19.34 - 1.69
Part B
Omar uses the information in the table and the following steps to estimate the
number of blue marbles in the jar.
• He considers the smallest ratio of blue marbles: 58/200.
He considers the largest ratio of blue marbles: 82/200.
• He estimates that there are most likely between 580 and 820 blue marbles in the jar
Is Omar's estimate reasonable? Explain.
Answer:140
Step-by-step explanation: It is a really big number not the most reasonable answer for the low amount of marbles their are in the jar adding 58 and 82 gives you your answer
The guidelines for a wheelchair ramp suggest that the ratio of the rise to the run be no greater than 1 : 12
A. Which wheelchair ramps follow the guidelines
A. A ramp with a length of 30 feet and a height of 3 feet
B. A ramp with a length of 20 meters and a height of 0.5 meters
C. A ramp with a length of 384 inches and a height of 32 inches
D. A ramp with a length of 1 feet and a height of 12 feet
B. A wheelchair ramp provides access to a building with a front door that is 2.5 feet above the sidewalk. Which best describes the possible length(s) for the ramp that will follow the guidelines.
Let x represent the length (in feet) of the ramp
A. X < 30
B. X > 30
C. X ≥ 30
D. X ≤ 30
Answer:
Q1. Answer: According to the guidelines, the ratio of the rise (height) to the run (length) of a wheelchair ramp should be no greater than 1:12.
Option A: A ramp with a length of 30 feet and a height of 3 feet. The ratio of the rise to the run is 3/30 = 1/10, which is less than 1:12, so this ramp follows the guidelines.
Option B: A ramp with a length of 20 meters and a height of 0.5 meters. The ratio of the rise to the run is 0.5/20 = 1/40, which is less than 1:12, so this ramp follows the guidelines.
Option C: A ramp with a length of 384 inches and a height of 32 inches. The ratio of the rise to the run is 32/384 = 8/96 = 2/24, which is less than 1:12, so this ramp follows the guidelines.
Option D: A ramp with a length of 1 feet and a height of 12 feet. The ratio of the rise to the run is 12/1 = 12, which is not less than 1:12, so this ramp does not follow the guidelines.
Therefore, the ramps that follow the guidelines are options A, B, and C.
Q2. Answer: The guidelines for a wheelchair ramp suggest that the ratio of the rise (height) to the run (length) of the ramp should be no greater than 1:12. In this case, the rise is 2.5 feet and the run is the length of the ramp (x feet). The ratio of the rise to the run is 2.5/x.
To follow the guidelines, the ratio of the rise to the run should be no greater than 1:12, or 1/12. Therefore, the length of the ramp (x) should be greater than or equal to 2.5/1/12 = 30 feet.
Therefore, the correct answer is C: X ≥ 30.
Step-by-step explanation:
A 94-ft tree casts a shadow that is 110 ft long. What is the angle of elevation of the sun?
Answer:
Step-by-step explanation:
Setting up a diagram would be helpful here, so we should have the vertical leg representing the 84-ft. tree and the horizontal leg representing the 120 ft. shadow. With the two measurements we are given, we should use the tangent ratio, opp/adj, to set up an equation to solve for the angle of elevation. So the equation will be:
tan θ = 84/120. Using the tan inverse function on the calculator, we have tan-1( 84/120) = θ and, rounding our decimal value to the nearest 10th, we have θ =35°.
What is the greatest common factor for 27 and 51
Answer:
27:-3×9
51:-3×17
In 27 and 51 the common one is 3 and hence it is the greatest common factor.✓✓
if you want smallest or lowest common factor then you have to take the common 3 as one and multiply like this:-3×9×17=459 is the Lowest common factor.
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consider the trinomial 15x² - 34x - 16.
List all the factor pairs for -240.
Answer: To find the factor pairs for -240, we can use the following steps:
Find the prime factorization of -240: -240 = (-2) * (-2) * (-2) * (-3) * (-5)
For each prime factor, there are two possible factor pairs: (-1) and (1), and (-n) and (n). For example, for the factor -2, the possible factor pairs are (-1) and (1), and (-2) and (2).
The factor pairs for -240 are: (-1) and (1), (-2) and (2), (-3) and (3), (-5) and (5), (-6) and (6), (-10) and (10), (-15) and (15), (-30) and (30).
Thus, the factor pairs for -240 are: (-1, 1), (-2, 2), (-3, 3), (-5, 5), (-6, 6), (-10, 10), (-15, 15), and (-30, 30).
Step-by-step explanation:
Select all of the following that are quadratic equations.
3x ^2 + 5x - 7 = 0
x ^3 - 2x ^2 + 1 = 0
2x - 1 = 0
5x ^2+ 15x = 0
6x - 1 = 4x + 7
x ^2 - 4x = 4x + 7
Answer:
3x ^2 + 5x - 7 = 0
5x ^2+ 15x = 0
x ^2 - 4x = 4x + 7
Step-by-step explanation:
Just find a equation with a degree of 2 and boosh
Read the situations in the table below. Then drag a graph and equation to represent each situation. Indicate whether each of the relationships is proportional or non-proportional.
The equation for situation 1 is y=4x and is directly proportional and the situation two will have equation y=x+4 and is not proportional.
What are linear equations?
Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here, graph 1 varies 4 times the x value every time there is an increase of 1 in the x-axis and in graph 2 it is a linear equation with intercept at 4 and thus the graph increases with +4 and A proportional relationship exists between two values x and y when they can be expressed in the general form y = kx,
Hence, The equation for situation 1 is y=4x and is directly proportional and the situation two will have equation y=x+4 and is not proportional.
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