a) The linear function that models the amount of water after t minutes is given by:
[tex]V(t) = 200 + 12t[/tex]
b) It takes 92 minutes to completely fill the pond.
Item a:
Initially, the pond contains 200 gal of water, that is, the linear function has a y-intercept of 200.Filled at a rate of 12 gallons per minute, thus the linear function has a slope of 12.Then, the function is:
[tex]V(t) = 200 + 12t[/tex]
Item b:
It takes t minutes to fill the pond, t is found for which:
[tex]V(t) = 1304[/tex]
Then
[tex]200 + 12t = 1304[/tex]
[tex]12t = 1104[/tex]
[tex]t = \frac{1104}{12}[/tex]
[tex]t = 92[/tex]
It takes 92 minutes to completely fill the pond.
A similar problem is given at https://brainly.com/question/16302622
-3b+7b+5= -19
I believe the answer is -6
Answer:
B = -6
Step-by-step explanation:
so yes, you're correct.
Plz help it’s due tonight!!!
sorry
Step-by-step explanation:
1/4 x 1/8 and simplify
Answer:
[tex] \frac{1}{4} \times \frac{1}{8} = \frac{1}{32} [/tex]
You and a friend are discussing how many sections you completed so far in algebra one you tell your friend I finish three times as many sections as you your friend replies you’ve only finished four more sections and I have how many sections have you and your friend completed
Answer:
4
Step-by-step explanation:
There are a total of 6 sections that have been completed by him and his friend.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let the section be finished by one is y, and finished by his friend be x.
According to 1st condition,
y = 3x - - - - - (1)
According to the second condition,
y = 4 + x
From equation 1
3x = 4 + x
2x = 4
x = 2
Now,
y = 3x
y = 3 * 2
y = 6
Thus, there are a total of 6 sections that have been completed by him and his friend.
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25 POINTS AND BRAINLIEST
The sets of numbers 6, 8, 10 and 5, 12, 13 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain or show why they are Pythagorean triples. Be sure to show your work for each set of triples!
YALL DONT GIVE ME A COLLEGE ANSWER TRY TO DUM IT DOWN THANKS! <3
Answer:We know that the Pythagorean Theorem is a² + b² = c². First lets start with 6, 8, and 10. There is a simple way to know that these are Pythagorean triples. They make up what is called a 3-4-5 triangle. 3 x 2 is 6, 4 x 2 is 8, and 5 x 2 is 10. Next 5, 12, and 13 are Pythagorean triplets because 5² + 12² = 13². Because both of these form right triangles, we know that they are Pythagorean triplets.
Hope this helps!
Step-by-step explanation:
Plz brainliest
The Pythagorean triples are those three numbers of which the square of a number is the sum of the squares of the other two numbers.
What is Pythagorean Theorem?According to the Pythagoras theorem, in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the base and height.
Given, three numbers are 6, 8, 10.
It is clear that, 6² + 8² = 36 + 64 = 100 = 10². Therefore, these three numbers are Pythagorean triples. Hence, for a right-angled triangle, the hypotenuse is 10 and other two sides are 6 and 8 respectively.
Again, three numbers given: 5, 12, 13.
It is also clear that, 5² + 12² = 25 + 144 = 169 = 13².Therefore, these three numbers are Pythagorean triples. Hence, for a right-angled triangle, the hypotenuse is 13 and other two sides are 12 and 5 respectively.
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0.9x+20=830 Solve for X
Answer:
X = 900
Step-by-step explanation:
0.9x = 830 - 20
0.9x = 810
x = 900
Forty-five people volunteered, but 200% of that number are needed. How
many people are needed?
PLEASE HELP (picture shown)
Answer:
b a c d
Step-by-step explanation:
Simplify: A. 35/6 B. 29/6 C. 12/5 D. 1/6
Answer:
[tex] \frac{49 - 3}{6} + \frac{24 - 17}{3} = \frac{46}{6} + \frac{7}{3} = \frac{46 + 7 \times 2}{6} = \frac{60}{6} = 10[/tex]
PlEASE I REALLY NEED HELP PLEASE I BEG OF YOU PLEASE!
Answer:
sure whats the question ? :)
Step-by-step explanation:
PLEASE PLEASE HELP ILL GIVE U BRAINEST
Answer:
I only / 1 only
Step-by-step explanation:
Function rules: no same x-values and must pass vertical line test
1: all different x-values
2: has two of the same x-values
3: doesn't pass vertical line test
Hopefully this helps!
Brainliest please?
Answer:
1 only (I hope im right)
Step-by-step explanation:
Hope this helps:)
what is the midpoint of (0,0.55) and (-3,6)
Answer:
(-1.5, 3.275)
Step-by-step explanation:
midpoint = ( x1+X2/2 , y1+y2/2)
=(0+(-3)/2, 0.55+6/2)
=( -3/2, 6.55/2)
=( -1.5, 3.275)
What is the value of W in a exterior angle theorem
Answer:
26
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.
so:
30 + 2w - 8 = w + 48
22 + 2w = w + 48 export like terms to the same side of the equation
2w - w = 48 - 22 subtract
w = 26
Sam had $25 more than Mary, and together they had enough money to buy a video game for $57 and to pay $16 for two movie tickets. How much money did Mary have?
Answer:
Mary had $24
Step-by-step explanation:
So to solve this question, we first have to create an equation.
Mary's money=x
Since Sam had $25 more than Mary, $Sam+$Mary is (25+x)+x.
With this money, they can buy something worth $57 and something worth $16, so that means (25+x)+x=57+16
Now we solve the equation-->
(25+x)+x=57+16
Combine x and x to get 2x.
25+2x=57+16
Add 57 and 16 to get 73.
25+2x=73
Subtract 25 from both sides.
2x=73−25
Subtract 25 from 73 to get 48.
2x=48
Divide both sides by 2.
x= 2/48
Divide 48 by 2 to get 24.
x=24
need help with math
702÷2.4
Answer:
Step-by-step explanation:
According to the graph how much money did you start with in your savings? b. How much money will you have after 5 weeks of saving? c. Fill in the table at the right and extrapolate for weeks 6, 7 and 8.
Answer:
A
Step-by-step explanation:
What is the rule when you add a negative number and positive number?
Answer:
a negative plus positive equals a negative-
Answer:
"To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values. The result takes the sign of the integer with the larger absolute value. The sum of any integer and its opposite is equal to zero."
Step-by-step explanation:
Simpler Explanation: If you add a positive number with a negative number, the sign (negative/positive) of the sum is the same as the integer (number) with the largest absolute value. For example;
1. 10 + -12 = -2
Here, the sum has the same sign (negative) as the largest number in the equation (-12).
2. 7 + -3 = 4
Here, the sum has the sign (positive) as the largest number in the equation (7).
pls help asap asap!!!
need an answer now!
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The equation f(x) = g(x) has : (in box 1)
[tex]1[/tex]Box - 2 :
[tex]x = 1[/tex]I need help with 9-11 I’ll mark
Brainliest
Answer: it is 26
Step-by-step explanation:
1. One skater paid $108.00 for
36 fancy jewels to sew on her
costume. What did each
jewel cost?
Answer:
each jewel was 3 $
Step-by-step explanation:
divide 108.00/36= 3
Step-by-step explanation:
$3 for each jewel.
what is 7019 - 1135 plezzzzzz
Answer:
The answer to 7019 - 1135 is 5884
What is the approximate value of 2–√, to the nearest whole number?
[tex]2 - \sqrt{1} \\ = 2 - 1 \\ = 1[/tex]
A scale drawing of an office space uses a scale of 1 in. : 6 yd. The scale drawing has an area of 4 square inches. What is the area of the actual office space?
Answer:
30
Step-by-step explanation:
The scale is 1 in : 6 yd. the drawing was 5 inches. Multiply the drawing measurement (5) times the yards cause that’s the measurement you want and you get 30 yards.
3y = x - 12
Y= 1/3X -4
parallel, perpendicular or neither
Answer:
PARALLEL
Step-by-step explanation:
The second equation, y = (1/3)x - 4, has already been solved for y. To compare the slopes easily, we need now to solve the first equation for y, obtaining y = (1/3)x - 4.
We see that these two lines have the same slope, m = 1/3, and thus conclude that these lines are PARALLEL.
I need help, I can’t find the answer.
Answer:
to get rid of the fraction multiply both sides by six
Answer:
multiply both sides by 6
Step-by-step explanation:
you won't add 2 until you have a whole number, not a fraction.
You don't need to change the direction
and you aren't supposed to change the =, >, <, or any of those signs ever, until you get to where you are multiplying or dividing by a negative number
6
Select the correct answer.
What are closing costs?
ОА. .
various fees paid monthly along with rent
ОВ.
various fees paid every year as part of taxes
Ос.
various fees paid when a home purchase is finalized
Reset
Next
I need help what is the answer?
Answer:
C. Various fees paid when a home purchase is finalized
help!!
A bank building in the downtown area stands 42 feet tall. if the high rise office building is 102 times as tall as the bank building, how tall is the office building
Answer:
4284 feet tall
Step-by-step explanation:
42*102=4284 feet
-
W H EN H_ DRIBBLE_
_ means blank
Answer:
whenhedribbles???
Step-by-step explanation:
what am i to do
Looking at the two terms, 7a4b2c2 and 14abc6, what is the GCF do the coefficients?
Greatest Common Factor is also shortened as G.C.F . Greatest Common Factor can be used as the greatest or highest number that divides exactly into two or more numbers.
The GCF for the coefficients is 7. Option A is the correct option.
From the question, we are given two terms 7a4b²c² and 14abc⁶
The coefficient for 7a4b²c² = 7
The coefficient for 14abc⁶ = 14
Solving for the GCF,
The factors of 7 are: 1, 7
The factors of 14 are: 1, 2, 7, 14
Then the greatest common factor is 7.
Therefore, the GCF for the coefficients is 7 . Option A is the correct option.
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Let C be the event that a randomly chosen person went to college. Let J be the event that a randomly chosen person has a job. Identify the answer which expresses the following with correct notation: Given that the person went to college, the probability that a randomly chosen person has a job.
The probability of event J, followed by event C is occurred is P( J | C)
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
Experiment: A trial or procedure carried out to generate a result is referred to as an experiment.Sample Space: A sample space is the collection of all potential results of an experiment. Tossing a coin, for instance, has two possible outcomes: head or tail.Favorable Consequence: An occurrence is deemed to have generated the desired outcome or an anticipated event if it did so.Trial: To conduct a trial is to conduct a random experiment.The given case is case of Conditional Probability.
As, the probability of random chosen person has a job 'j' followed by the person went to the college 'c'
The, the probability of event J, followed by event C is occurred is
= P( J | C)
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