Answer: 4.5 hours
Step-by-step explanation: i used cross multiplication.
2.5/x=60,000/108,000
60,000x=270,000
divide 270,000 by 60,000
x=4.5
An equation is formed when two equal expressions. The time the same pump will take to empty a tank containing 108,000 gallons of water is 4.5 hours.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that the amount of time it takes a water pump to empty a tank varies directly with the capacity of the tank. Therefore, the relationship can be written as,
V ∝ T
V = kT
Substituting the volume and time in the equation,
60,000 gallons = 2.5 hours × k
Solving the equation for k,
k = 60,000 gallons / 2.5 hours
k = 24,000 gallons per hour
Now, the equation for the relationship can be written as,
V = 24,000 gallons per hour × T
Now, the time the same pump will take to empty a tank containing 108,000 gallons of water is,
V = 24,000 gallons per hour × T
108,000 gallons = 24,000 gallons per hour × T
108,000 gallons / 24,000 gallons per hour = T
T = 4.5 hours
Hence, the time the same pump will take to empty a tank containing 108,000 gallons of water is 4.5 hours.
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Write 27 as a product of primes.
Use index notation when giving your answer.
Answer:
3, 9, 3 and 3
Step-by-step explanation:
27
3 and 9
3 and 3
I don't know how to do index notation. I apologize.
A line has slope m=3/4 and passes through the point (0,-5) what is the equation of the line?
Can someone please help?!
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If you have less than $10.00 in dimes and quarters. Which of the following is a
possible combination of dimes and quarters that satisfy the inequality. *
a. 50 dimes and 20 quarters
b. 20 dimes and 50 quarters
c. 50 dimes and 30 quarters
d. 40 dimes and 20 quarters
Answer:
D. 40 dimes and 20 quarters
Step-by-step explanation:
40 dimes= $4 because 10 dimes= $1
20 quarters= $5 because 4 quarters= $1
The other options are above $10. I hope this helps!!!! :D
Papyrus or Undyne? YEET
Answer:
Papyrus. it is the only thing to pick! :) also YEET TO YOU TO
Answer:
:)
Step-by-step explanation:
Papyrus
lol
yeet to you too my good sir/madam
Pls help me it is a simple function
Answer:
blank 1 = 4
blank 2 = 1
Step-by-step explanation:
The slope is how much the y changes for each x value.
have a great day!!!
A rectangular computer monitor is measured by the length and width of its display resolution. Three different monitors are described below. Monitor A has a display resolution of 640 pixels by 480 pixels. Monitor B has a display resolution of 800 pixels by 600 pixels. Monitor C has a display resolution of 1,280 pixels by 800 pixels. Which of the monitors are similar, based on their display resolution
Answer: Monitors A and B
Step-by-step explanation:
The similar monitors based on display resolution are those with similar ratios.
Take the ratios to their simplest forms to see which are similar.
Monitor A
= 640 : 480
= 16 : 12
= 4 : 3
Monitor B
= 800 : 600
= 8 : 6
= 4 : 3
Monitor C
= 1,280 : 800
= 32 : 20
= 8 : 5
Monitors A and B are similar as they have the same display ratio.
plzplPzlpzlzpzl .......i beg u do this easy question for me ....
Answer: [tex]-p^2-(q+r)^2[/tex]
Work Shown:
I'm assuming your teacher wants you to factor as much as possible.
[tex]-p^2-q^2-r^2-2qr\\\\-p^2-q^2-2qr-r^2\\\\-p^2-(q^2+2qr+r^2)\\\\-p^2-(q+r)^2\\\\[/tex]
In the last step, I used the rule that [tex](a+b)^2 = a^2+2ab+b^2[/tex]
We cannot factor any further. If the first term was [tex]p^2[/tex] instead of [tex]-p^2[/tex], then we could use the difference of squares factoring rule.
Please help i need to get this done asap !
Answer:
Step-by-step explanation:
Equation of line k is y = (-4/7)x + 1
point (-5,-10); m = -4/7
Line L is perpendicular to k so the perpendicular slope will be 7/4
Equation of line L is (y - y1) = m(x-x1)
y+10 = (7/4) (x +5)
4y + 40 = 7x + 35
4y = 7x - 5
y = (7/4)x - (5/4)
x2 + 13x = -22 solve for x
The temperature in Quebec City was 5 degrees Celsius at 4 pm. By midnight, the temperature dropped 15 degrees. A number line has points negative 20, blank, A, B, 0, 5, C, blank, D. Which point is a representation of the colder midnight temperature in degrees Celsius?
Answer: Point A
Step-by-step explanation:
The temperature at midnight is;
= 5 - 15
= -10°C
Looking at the number line, one can surmise that the scale is in multiples of 5. This means that C is 10, B is -5 and A is -10.
With point A being -10°C, it represents the colder midnight temperature.
Answer:
Point A
Step-by-step explanation:
We know that the temperature dropped 15 degrees, and that it was initially of 5°C. So, by midnight, the temperature will be of -10°C (5-15=-10).
We also know that the distance between points is of 5°C. So, the point that we have to mark is point A, which represents -10°C.
Using a layaway plan, Bill bought a set of golf clubs for $1700. He has 6 months to pay off his balance after paying a down payment. The store does not charge a fee for their program. If Bill makes payments of $201 a month, how much did he need to use as a down payment in order to pay for the clubs
Answer:
$494
Step-by-step explanation:
Given that:
Cost of golf club = $1700
Number of months taken to balance payment after down payment = 6 months
Amount paid per month = $201
The down payment made :
Cost of golf clubs - (monthly payment * number of months)
$1700 - ($201 * 6)
$1700 - $1206
= $494
Hence, the downpayment made = $494
i need help!
number 14
Answer:
I’m gonna edit This answer give me a sec to do the work
Step-by-step explanation:
Answer:
1. One Solution
2. No Solution
3. Infinitely Many
Hope this helps :)
HELP 17 POINTS Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. What value of p makes the equation true?
Answer:
0.125
Step-by-step explanation:
First, remove the 1/8 by subtracting 1/8 on both sides
-3p = -3/8
Then, isolate the variable by diving each side by -3
p = 0.125
Answer:
0.125
Step-by-step explanation:
did the test and got it right!!
Write an equation in point slope form of the line that passes through the point (2,-8) and had a slope of 4
The equation of a line in point-slope form is (y + 8) = 4(x - 2).
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A line passes through the point (x₁, y₁) ⇒ (2,-8) and had a slope of 4.
We know the equation of a line in point-slope form is (y - y₁) = m(x - x₁).
∴ The equation of this line is (y + 8) = 4(x - 2).
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help if you have time !
Answer:
72 Bricks would be needed.
Step-by-step explanation:
24 * 2 = 48
12 * 2 = 24
48 + 24 = 72
Why is the first step when solving
2x – 15 - 4x = 3 to combine like terms?
Answer:
-9 is the final answer
Step-by-step explanation:
2x-4x=-2x
so the equation would be -2x-15=3
add 15 to both sides -2x=18
divide both sides by -2
one number is two more than triple a second number. Their sum is 30. what is the smaller number
Answer:
7
Step-by-step explanation:
We can solve this problem by making an equation.
Let x represent the second number
3x + 2 will be the first number because it is 2 more than triple x
This makes our equation:
3x + 2 + x = 30
Combine like terms
4x + 2 = 30
Subtract 2 from both sides
4x = 28
Divide both sides by 4
x = 7
The smaller number aka the second number is 7
Increase 130 by one fifth
Answer:
sorry i cant help
Step-by-step explanation:
Answer:
156.
Step-by-step explanation:
130/5 = 26.
130 + 26 = 156.
When a number is decreased by 4%, the result is 66. What is the original number to the nearest tenth?
Answer:
68.8
Step-by-step explanation:
100% = x number
96% = 66
so 100%
= 68.75
to the nearest tenth is 68.8
Which fraction is the largest?
Answer:
17/30
Step-by-step explanation:
-3x + 7 (-6 – 5c)
C= 7
x = -9
Answer:
=−260
Step-by-step explanation:
To the nearest tenth, what is the value of x?
A. 3.5
B. 4.8
C. 5.9
D. 7.3
E. 9.8
Answer:
D, I think, pls don't report if im wrong
Step-by-step explanation:
how to solve -2(v-2)=-3-2v i need it step by step
Answer:O0
Step-by-step explanation:
2*(v-2)-(-3-2*v)=0
STEP
1
:
Equation at the end of step 1
(0 - 2 • (v - 2)) - (-2v - 3) = 0
STEP
2
:
Equation at the end of step 2
7 = 0
STEP
3
:
Equations which are never true:
3.1 Solve : 7 = 0
Answer:
No solution
Step-by-step explanation:
Given: -2(v-2)=-3-2v
Distribute -2 at the left side of the equal sign:
-2v+4=-3-2v
Put all like terms in one side:
-2v+2v=-3-4
Combine all like terms:
0=-12
Answer: No solution
What is the r-value of the following data to three decimal places?
Answer:
.953
Step-by-step explanation:
took it on a test and got it right
Answer:
.953
Step-by-step explanation:
How can you determine the sale price if you are given the regular price and the percent of markdown? (List the steps)
Answer:
The sale price is $34
Step-by-step explanation:
If we are given the regular price P and the markdown percentage r, we follow these steps:
1) Calculate the markdown or discount amount M.
M = P*r/100
2) Subtract it from the regular price:
S = P - M
S is the sale price.
Example: The regular price is $40 and the markdown percentage is 15%. Thus:
1) M = $40*15/100 = $6
2) S = $40 - $6 = $34
The sale price is $34
solve for the equation 3r = -24
Answer:
yes
Step-by-step explanation:
bc Quick maths
Answer:
r=-8
Step-by-step explanation:
Please help with these two questions.
Answer/Step-by-step explanation:
✔️<1 can be named in two ways using letters, with the middle letter being the letter of the vertex of the angle. Thus is can be named as:
[tex] \angle ADB [/tex] or as [tex] \angle BDA [/tex]
✔️It is unclear to name <1 as <D because <2 can equally be named as <2 since both angles share a common point or vertex D.
Can someone answer my English question, please :/ I will mark you brainliest
Answer:
Step-by-step explanation:
Which angle or side combinations can make a triangle? Select all that apply. Angles measuring 90°, 45°, and 45°. Angles measuring 27°, 35°, and 108°. Angles measuring 82°, 41°, and 57°. Sides measuring 8 cm, 12 cm, and 5 cm. Sides measuring 7 in., 4 in., and 13 in. Sides measuring 43 cm, 41 cm, and 58 cm.
Answer:
Angles measuring 90°, 45°, and 45°: Can make triangle
Angles measuring 27°, 35°, and 108°: Can not make triangle
Angles measuring 82°, 41°, and 57°: Can make triangle
Sides measuring 8 cm, 12 cm, and 5 cm: Can make triangle
Sides measuring 7 in., 4 in., and 13 in: Can not make triangle
Sides measuring 43 cm, 41 cm, and 58 cm: Can make triangle
Step-by-step explanation:
For the angles to form a triangle, there sum must be equal to 180°
Angles measuring 90°, 45°, and 45°
Sum of Angles = 90° + 45° +45° = 180°
Hence, this combination can make triangle.
Angles measuring 27°, 35°, and 108°
Sum of Angles = 27° + 35° + 108° = 170° ≠ 180°
Hence, this combination can not make triangle.
Angles measuring 82°, 41°, and 57°
Sum of Angles = 82° + 41° +57° = 180°
Hence, this combination can make triangle.
For three sides to form a triangle the sum of the two sides must be greater than the length of third side.
Sides measuring 8 cm, 12 cm, and 5 cm
(8 cm + 12 cm) > 5 cm (True)
(8 cm + 5 cm) > 12 cm (True)
(12 cm + 5 cm) > 8 cm (True)
Hence, this combination can make triangle.
Sides measuring 7 in., 4 in., and 13 in
(7 in + 4 in) > 13 in (False)
Hence, this combination can not make triangle.
Sides measuring 43 cm, 41 cm, and 58 cm
(43 cm + 41 cm) > 58 cm (True)
(43 cm + 58 cm) > 41 cm (True)
(41 cm + 58 cm) > 43 cm (True)
Hence, this combination can make triangle.
Answer:
A- Angles measuring 90°, 45°, and 45°.
C- Angles measuring 82°, 41°, and 57°.
D- Sides measuring 8 cm, 12 cm, and 5 cm
F- Sides measuring 43 cm, 41 cm, and 58 cm.
Step-by-step explanation:
I got it wrong for you guys :D
There is the picture for proof, Have a Wonderful day to anyone who see's this
:)