Answer:
6 gallons per minute
Step-by-step explanation:
Let the function that models the quantities of water, Q (in gallons) in a pool over time, t (in minutes), is
Q = a + bt ........... (1)
Now, Q(t = 0) is given to be 50 gallons.
So, a = 50 and b denotes the rate at which the quantity of water in the pool is decreasing and it is given by the slope of equation (1).
Now, two points on the graph are (0,50) and (1,44).
So, the slope = b = = - 6 gallons per minute.
Therefore, the equation of this situation is given by Q = 50 - 6t, where the slope is equal to - 6 gallons per minute. (Answer)
The slope of the line graph representing the data would be described as "negative" or "decreasing."
We have,
The slope of a line represents the rate of change between two variables.
In this case, the variables are "Time in minutes" and "Water in Pool in gallons.
" The slope of the line graph representing this data would be described as "negative" or "decreasing."
This is because as time increases (going from 0 to 5 minutes), the amount of water in the pool is decreasing (going from 50 gallons to 20 gallons).
When the slope of a line is negative, it indicates a decreasing trend or a decrease in the value of one variable as the other variable increases.
Thus,
The slope of the line graph representing the data would be described as "negative" or "decreasing."
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Which pairs of fractions include a fraction equivalent to 1/2 and a fraction equivalent to 3/4?
Answer:
4/8 and 8/16
Step-by-step explanation: Multiply 1/2 and 3/4 to find a common fraction between them (4/8) then multiply that fraction by any number greater than 1 to find another fraction equivalent
The equivalent fraction of the fraction numbers 1/2 and 3/4 will be 4/8 and 6/8, respectively.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.
the fraction numbers are given below.
1/2 and 3/4
The equivalent fraction of the fraction number 1/2 will be
1/2 = 4/8
The equivalent fraction of the fraction numbers 3/4 will be
3/4 = 6/8
The equivalent fraction of the fraction numbers 1/2 and 3/4 will be 4/8 and 6/8, respectively.
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Simplify
√
63
fully, giving your answer in the form
a
√
b
Answer:
3[tex]\sqrt{7}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex] , then
[tex]\sqrt{63}[/tex]
= [tex]\sqrt{9(7)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{7}[/tex]
= 3[tex]\sqrt{7}[/tex]
calculate the number in the middle of -7 and 6
Answer:
I believe 0.5 , if I'm reading this question right.
Step-by-step explanation:
-7, -6, -5, -4, -3, -2, -1, 0.5, 0, 1, 2, 3, 4, 5, 6
7 numbers on ⬆ 7 numbers on
left side. right side.
Please correct me if I'm wrong, and I hope this makes sense.
simplify pls I need help
[tex] \sqrt{5} (8 + 3 \sqrt{6})[/tex]
Answer:
[tex]8\sqrt{5}+3\sqrt{30}[/tex]
Step-by-step explanation:
[tex]\sqrt{5}(8+3\sqrt{6})[/tex]
[tex](\sqrt{5})(8)+(\sqrt{5})(3\sqrt{6})[/tex]
[tex]8\sqrt{5}+3\sqrt{30}[/tex]
4x/5 - 3x/7 = 4x/7 + 5x/7 can anyone please help with explanation...
Answer: x=0
Step-by-step explanation:
Multiply both sides of the equation by 35, the least common multiple of 5,7.
7×4x−5×3x=5×4x+5×5x
Multiply 7 and 4 to get 28.
28x−5×3x=5×4x+5×5x
Multiply −5 and 3 to get −15.
28x−15x=5×4x+5×5x
Combine 28x and −15x to get 13x.
13x=20x+25x
Combine 20x and 25x to get 45x.
13x=45x
Subtract 45x from both sides
13x−45x=0
Combine 13x and −45x to get −32x
−32x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since −32 is not equal to 0, x must be equal to 0.
X=0
there are 175 student innthe cafetra
Answer:
Ok what’s the problem
Step-by-step explanation:
Multiply. Express your answer in simplest form. 6\9 × 3\8
Answer: 1/4
Step-by-step explanation:
6 . 3 = 18 ÷ 18 = 1
9 8 72 ÷ 18 4
what is the perimeter of a rectangle if Length = x + 2 and With = 3x - 7
Answer:
[tex]perimeter= 2((3x - 7) + (x + 2)) \\ = 6x + 2x -14 +4 \\ = 8x-10[/tex]
Answer:
perimeter= 2(L+B)
=2(x+2+(3x -7)= 2(x+2+ 3x -7)
=2(4x -5)
perimeter= 8x -10
PLS MARK BRAINLIEST
Name the property that is shown below.WILL MARK BRAINLIEST
3 x (7 x 9) = (3 x 7) x 9
Question 1 options:
commutative property of multiplication
multiplicative inverse
associative property of multiplication
multiplicative identity
Answer:
C. associative property of multiplicationStep-by-step explanation:
Here we see regrouping of the multiplied numbers.
Relevant property is given below
The associative property of multiplication: the product of three or more numbers remains the same regardless of how the numbers are grouped. a(bc) = (ab)cAnswer:
Your answer is C
Step-by-step explanation:
Help me solve this equation
Answer:
a = n/5 + 3h^2
step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
a = n/5 + 3h^2
Answer:
n+15 to the power of 2=a
Step-by-step explanation:
1.multiply 5 by and and -3h to the power of 2
2. subtract 15h to the power of 2 from both sides
3. divide by 5 on each side
Simplify. Write your answer in standard form with no spaces.
-7a + 3a - a - 12 + 4a
why so i have a smooth brain im just gonna put the questions i dont know
Answer:
-a-12
Step-by-step explanation:
Combine Like Terms:
−7a+3a+−a+−12+4a
(−7a+3a+−a+4a)+(−12)
−a+−12
fill in the y-values for each of the x-values given in the table
Answer:
Look at the work under "Step-by-step explanation"
Step-by-step explanation:
(- 3) - 2y = - 6- 2y = - 3
[tex]y = \frac{ - 3}{ - 2} [/tex]
[tex]y = \frac{3}{2} [/tex]
(- 2) - 2y = - 6- 2y = - 4
y = 2
0 - 2y = - 6- 2y = - 6
y = 3
7(-3) + 2y = - 10- 21 +2y = - 10
2y = 11
[tex]y = \frac{11}{2} [/tex]
7(-2) + 2y = - 10- 14 + 2y = - 10
2y = 4
y = 2
7(0) + 2y = - 102y = - 10
y = - 5
In triangle DEF, the measure of angle E is 90°,
DE = 5, and DF= 13. The dimensions of DEF are
doubled to form triangle GHI with vertices D, E, and
F corresponding to vertices G, H, and I, respectively.
What is the value of tan I?
Answer:
Tan I = 5/12
Step-by-step explanation:
Triangle DEF is a right triangle that corresponds with GHI .
DF = 13; DE = 5 and EF = 12 using a²+ b² = c² meaning the squares of the two side of a right triangle = the square of the hypotenuse. EF = 12 because 5² + x² = 13² ; 25 + x² = 169 ; x² = 169 - 25 ; x² = 144 ; x = 12 .
Now GHI dimensions were doubled, so DE ≅ GH ; DF ≅ GI ; EF ≅ HI
So GH = 10; DF = 26; HI = 24.
Tan I = opposite /adjacent 10/24 = 5/12
4.
Estimate by rounding to the nearest hundred: 268 + 312 = _____
Answer:
580
Step-by-step explanation:
Answer:
it would be 580 but since you round to the nearest 100 is would be 600
Step-by-step explanation:
268
+312
580
Lawrence gives $2.05 to Wayne. If Lawrence started with $67.00, how
much money does he have left?
Answer:
$64.95
Step-by-step explanation:
Answer:
64.95
Step-by-step explanation:
67.00 - 2.05 = 64.95
It took 3.5 hours for an airplane traveling at a constant speed of 550 miles per hour to reach its destination. What distance did the airplane travel until it reached its destination
Answer:
3225 miles in 3.5 hours
Step-by-step explanation:
3 hours x 550 (per hour) = 1650
1/2 of 550 or 30 minutes = 275
275 x 0.5 (30 minutes) = 1375
1650 + 1375 = 3225 miles in 3.5 hours
MATH PLZ HELP SHE NOT GONNA LET ME PASS FAM
Helppp meeee I'm begging anybody
Answer:
Pretty sure the answer is C
Part 2 out of 3 Find the slope for each of the three line segments.
0.5 to 1: m=?
1 to 2: m=?
2 to 3: m=?
Answer:
0.5-1:m=4
1-2:m=2
2-3:m=6
can you please hepl me
Answer:
Step-by-step explanation:
how is 500 divided by 200 = 2.5 please explain
When you divide 500 by 200, the result is 2.5.
To divide 500 by 200 and obtain a result of 2.5, you need to perform the following calculation:
500 ÷ 200 = 2.5
Here's a step-by-step explanation:
Start with the dividend, which is the number being divided.
In this case, the dividend is 500.
The divisor is the number by which you are dividing.
In this case, the divisor is 200.
Divide the dividend by the divisor:
500 ÷ 200 = 2.5
The quotient is the result of the division. In this case, the quotient is 2.5.
To understand how this result is obtained, you can think of division as a way to distribute or allocate the dividend (500) into equal groups defined by the divisor (200).
In this case, if you divide 500 into 200, you can fit 2 whole groups of 200 within 500, leaving a remainder.
The 2 whole groups represent the value of 2, and the remainder represents the fraction part of the result.
The remainder is 100 (500 - (2 x 200) = 100). Since the remainder is less than the divisor (200), you can express it as a fraction of the divisor.
The remainder of 100 can be written as 100/200 or 1/2.
Combining the whole number part (2) with the fractional part (1/2), you get the result of 2.5.
Therefore, when you divide 500 by 200, the result is 2.5.
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Here is a diagram showing triangle ABC and some transformations of triangle ABC .On the left side of the diagram, triangle ABC has been reflected across line AC to form quadrilateral ABCD . On the right side of the diagram, triangle ABC has been rotated 180 degrees using midpoint M as a center to form quadrilateral ABCE. Using what you know about rigid transformations, side lengths and angle measures, label as many side lengths and angle measures as you can in quadrilaterals ABCD and ABCE.
Answer:
hold up lemma check
Step-by-step explanation:
Express equation 6x - 4y = 12 in the form of y=mx + c
Answer:
y = 3/2x - 3, where m is 3/2 and c is -3
Step-by-step explanation:
First, we add 4y on both sides of the original equation. Then, we get
6x = 12 + 4y. Next, we subtract 12 on both sides to get 4y = 6x - 12. We finally divide by 4 to get y = 3/2x - 3
The difference of two numbers is 16. The greater number is 5 less than 4 times the smaller number. Find the product of the two numbers.
Answer: y = 23
Step-by-step explanation:
let x = smaller number
let y = greater number
y = 4x - 5
y - x = 16
replace the value of y in the second equation you get
4x -5 -x = 16 ⇒ 3x - 5 = 16 ⇒ 3x = 21 ⇒ x = 7
finally,
y = 23
Find the slope of the line that passes through (6, 6) and (10, 5).
Which graph shows a function whose inverse is also a function?
Answer:
.
Step-by-step explanation:
The function whose inverse is also a function would pass the horizontal line test. This means that if you place a horizontal line at any y-level in the graph, the line should only pass through the function one or less times.
How much of a 60% orange juice drink must be mixed with 3 gallons of a 10% orange juice drink to obtain a mixture that is 50% orange juice
Answer:
2.1 gallons
Step-by-step explanation:
What is the y-intercept of this graph?
Answer:
0
Step-by-step explanation:
You'll get it right, just trust me on this one.
Answer:
0
Step-by-step explanation:
the answer is 0
yeah-ya
|3(x-2)|=12 Please explain too! Thank you!
Right answer gets brainlyest
Answer:
3+1=5 and 5+3= 9 this is so amazing
Answer:
-4(3x-2y+12)
Step-by-step explanation: