The minutes it will take for the tank to be 3/5 full is 720 minutes.
When the tank be 3/5 full?A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below. An example of a fraction is 3/5.
The first step is to determine how many gallons the tank would have when it is 3/5 full. To determine this value, multiply the volume of the tank by 3/5.
Gallons when the tank is 3/5 full = 3/5 x 48,000 = 28,800
Now, divide the speed of the water by the gallons in the tank when it is 3/5 full.
28,800 / 40 = 720 minutes
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Prove that:
(A cos x + B sin x)^2 - (B cos x + A sin x)^2 = (A^2 - B^2) (cos^2x - sin^2x)
Answer:
see explanation
Step-by-step explanation:
Consider the left side
(Acosx + Bsinx)² - (Bcosx + Asinx)² ← expand factors using FOIL
= A²cos²x + 2ABsinxcosx + B²sin²x - (B²cos²x + 2ABsinxcosx + A²sin²x)
= A²cos²x + 2ABsinxcosx + B²sin²x - B²cos²x - 2ABsinxcosx - A²sin²x
= A²cos²x - Bcos²x + B²sin²x - A²sin²x ← factor first/second and third/fourth terms
= cos²x(A² - B²) - sin²x(A² - B²) ← factor out (A² - B²) from each term
= (A² - B²)(cos²x - sin²x)
= right side ⇒ proven
Can anyone help with this?
Answer: D. 4x² + 3/2x - 7
Step-by-step explanation:
How do you know if you have to divide or multiply in a ratio problem?
Answer: you looking for ways to calculate ratio problems quickly and accurately? Learn the best methods here, with useful diagrams – and find out what to avoid too. … Ratios can be scaled up or down by multiplying both parts of the ratio … the ratio by the largest number that they can both be divided by
Step-by-step explanation:
you looking for ways to calculate ratio problems quickly and accurately? Learn the best methods here, with useful diagrams – and find out what to avoid too. ... Ratios can be scaled up or down by multiplying both parts of the ratio ... the ratio by the largest number that they can both be divided by[tex]did this help[/tex]write a system of linear equations in which (3,-5) is a solution of equation 1 but not a solution of equation 2 and (-1,7) is a solution of the system
Answer:
Examine this system of linear equations.
y – 3x = –2,
y = 4
Which is a solution of the system of equations?
(0, 4)
(2, 2)
(2, 4)=this is the correct answer
(4, 2)
Step-by-step explanation:
thats the answer
(2,4)
Find the missing value. 7/8 = x/28.8 Please help, I clearly have no brain cells left, and I have the brain capacity of a Carrot ;-;
============================================
Work Shown:
7/8 = x/28.8
7*28.8 = 8*x .... cross multiply
201.6 = 8x
8x = 201.6
x = 201.6/8 ... divide both sides by 8
x = 25.2
The missing value of x is 25.2.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Let the missing value is x.
Given:
7/8 = x/28.8
7(28.8) = 8x
Cross multiply;
201.6 = 8x
8x = 201.6
x = 201.6/8
Divide both sides by 8;
x = 25.2
Hence, The missing value of x is 25.2.
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Solve for X the mini box in the corner is 90 degree angle
A cylinder shaped container is used to hold watef . This cylinder has a height of 12 inches and a diameter of 7 inches . A spherical ball with a diameter of 6 inches is dropped into the container . Explain how the ball changes the volhme of the water the container can hold and calculate the amount of water the cylinder can hold after the ball is dropped into the cylinder . Let pi = 3.14
Answer:
423.9 inches³
Step-by-step explanation:
First we will calculate the volume of the cylinder using the formula
Vc = hπr²
Vc = 12π(3.5)² [radius is 1/2 diameter]
Vc = 147π
Next we calculate the volume of the sphere using 4/3*πr³
Vs = 4/3 πr³
Vs = 4/3π3³
Vs = 12π
Finally, we subtract the volume of the cylinder by the volume of the sphere to get the remaining volume in the cylinder that can be filled with water.
147π - 12π = 135π
Using the approximate 3.14, the answer is 423.9 inches³
four and seventy-two thousandths
Answer:
4.072
Step-by-step explanation:
Answer:
72,004Step-by-step explanation:
Brainliest? Thanks!
NEED HELP ASAP!!! 50 pts (Algebra 2, Systems of Equations)
The Smith family is trying to decide what theme park to visit on their vacation. Family Fun Land costs $12 per person and $40 for parking. Blue Jay Bay costs $22 per person and $12 for parking. Explain their different options depending on how many people go.
Answer: For groups with over 3 people, Family Fun Land is the best option. It's cheapest for groups of 1 or 2 to go to Blue Jay Bay.
Step-by-step explanation:
Family Fun Land | y = total $, x = # of people
y = 12x + 40
Blue Jay Bay
y = 22x + 12
2 People
y = 12(2) + 40
y = 64
y = 22(2) + 12
y = 56
3 People
y = 12(3) + 40
y = 76
y = 22(3) + 12
y = 78
A customer purchased a total of 10 hats and scarves. Each hat cost $4.50 and each scarf cost $3.00. The customer spent $36.00 all together.
How many hats did the customer buy?
Enter your answer in the box.
Answer:
The customer bought 4 hats, and 6 scarves.
Step-by-step explanation:
$4.50x4 = $18
$3.00x6 = $18
$18 + $18 = $36!
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- Pricespidey
Find the value of c that completes the square for the function f(x)= x2 + 4x + C.
Your answer:
- 4
4
16
81/
4
Answer:
[tex] = - 4 \times 2 + 4 \times ( - 4) + c \\ = - 8 - 16 + c \\ = 24 + c \\ \frac{ - c}{ - 1} = \frac{24}{ - 1} \\ c = - 24[/tex]
Determine the slope of
the line that passes
through (2,5) and (3, 7).
Answer:
1/2
Step-by-step explanation:
treating prostate disease a large study used records from canada’s national health care system to compare the effectiveness of two ways to treat prostate disease. the two treatments are traditional surgery and a new method that does not require surgery. the records described many patients whose doctors had chosen each method. the study found that patients treated by the new method were sig- nificantly more likely to die within 8 years.38
The cost and the patient's condition are other factors. For instance, a doctor might decide against suggesting surgery if a patient has very bad health because of the potential for additional difficulties. Then, we won't be able to tell if a higher death rate is a result of the therapy or the participants' pre-existing health.
What distinguishes surgical treatment from medicinal treatment? What distinguishes surgical procedures from nonsurgical ones?What Kinds of Practices Are Not Surgical?Any condition that necessitates a localised treatment, such as surgery or one of the many vascular procedures or radiation methods, is referred to as a surgical disease. A more comprehensive, pharmacological strategy to treat a medical issue is required.
"Non-surgical" treatments are also referred to as "non-invasive" procedures in the cosmetic industry. These techniques don't need cutting the skin or inserting tools into the body, in contrast to "invasive" surgical therapies.
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Find the equation of line that passes through the points (2.0) and (4.6). Write the equation in slope-intercept form
Answer:
y = 3x - 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (4, 6)
m = [tex]\frac{6-0}{4-2}[/tex] = [tex]\frac{6}{2}[/tex] = 3, then
y = 3x + c ← is the partial equation
To find c, substitute either of the 2 points into the partial equation
Using (2, 0 ) , then
0 = 6 + c ⇒ c = 0 - 6 = - 6
y = 3x - 6 ← equation of line
2.010010001
is this rational or irrational?
Answer:
It is irrational
Step-by-step explanation:
is a non-terminating & non-recurring decimal
Marsha Lynch opened a savings account on January 1st with a lump sum $625.00 deposit. Interest is compounded on a quarterly basis at a rate of 5.7%. What is her balance at the end of 2 years?
Answer:
698.28
Step-by-step explanation:
Shane has a piece of fabric that is 4 1/3 yards long. He plans to cut the fabric into 3 pieces, each measuring 3/5 of a yard. What is the length of fabric left over after Shane cuts the 3 pieces.
Answer:
Is it 2 and 8/15 for the answer?
Step-by-step explanation:
3/5 times 3/1 = 9/5 = 1 4/5, then 4 1/3 - 1 4/5= 2 8/15
Please help!!!!
A 1 and 3 only
B 2 only
C 1 and 2 only
D 1 only
Step-by-step explanation:
D I think sorry if it's wrong :(
can someone help me with this pls no bull sh answers
Answer:
(x-1)(-3x-7)
Step-by-step explanation:
To find this answer I used this method:
help me plz and thanks
Answer:
A, the solutions are x=3,2
Step-by-step explanation:
Which expression represents each mathematical phrase?
Drag the answer into the box to match each phrase.
(1) the product of 7 and a number
(2) the sum of 7 and a number
(3) 7 less than a number
(4) 7 more than twice a number
(a) 2+x+7
(b) 7+x
(c) 2x+7
(d) x-7
(e) 7x
(f) 7-x
Answer:
(1) = (e) 7x. (2) = (b) 7+x. (3) = (d) x-7. (4) = (c) 2x+7
During a round of golf, Tim's score on hole eights is -7. After hole eighteen, Tim's score increases by 18. What is Tim's score after whole eighteen? show your work
Answer:
man went from 7 under to 11 over. tuff. its 11
Step-by-step explanation:
Ms Lucas has 9 cases of crayon with 52 boxes in each case Ms Bruns has 6 cases of crayon with a 104 in each case How many boxes of crayons do both teachers have? Use RDW strategy to solve.Write your answer as a statement.
Answer:
1092
Step-by-step explanation:
Step one:
given data
Ms Lucas has 9 cases of crayon with 52 boxes in each case
total crayon is
9*52= 468
Ms Bruns has 6 cases of crayon with a 104 in each case
total crayon is
6*104= 624
The total crayon is
468+624= 1092
Consider the triangle. Which statement is true about the length of the sides?
Each side has a different length.
Two sides have the same length, which is less than the length of the third side.
The three sides have the same length.
The sum of the lengths of two sides is equal to the length of the third side.
Answer:For this case we observe that the 2 angles of the triangle are equal. Also, we have by definition:
A triangle is , when the three sides are connected(in addition, the three internal angles measure 2 angles 45 degrees and 1 angle 90
Step-by-step explanation:
2 3/4 devided by 1/6
Step-by-step explanation:
16.5
I'm pretty sure that this is the correct answer.
please help me with y-intercept and slope
Hurry please I’m being timed
Which equation represents the function shown on the
graph?
O y=1/4x
O y=1/2x
O y=2x
Oy=4x
I'm pretty sure it is c I dknt remember
Answer:
The Answer is D, not C I just took the test and got it wrong!
Step-by-step explanation:
The correct test answers are:
1: B 7: A
2: C 8: B
3: C 9: D
4: D 10: A
5: D
6: B
Hope This Helps!
Need help with this ASAP and all you have to do is match the siblings with the options and the options are group a, group b, and group c. Please
Answer: oldest sibling is B, middle sibling is C, youngest sibing is A
I need help on thuss ASAP!
LaTeX: \frac{25}{35} 2535 in simplest form is _______
Answer:
:] go 2 circle's to the right and go to circles to the left
Step-by-step explanation:
you'll get the right answer, it works good