Answer:
V = 19200 - 12m
Step-by-step explanation:
The pool contains 19200 gallons of water.
Now we are told that water drains from the pool at the rate of 12 gallons per minutes.
Now, we want to find the volume, V, of the water in the pool, "m" minutes after draining begins.
Since water drains at 12 gallons per minutes, it means that after "m" minutes, the total amount that would have been drained is 12m gallons.
Thus, total volume V left after m minutes can be expressed as;
V = 19200 - 12m
1
A recipe for 6 servings of pudding calls for 2/3 cups of cream. How much cream is needed for 18 servings of
pudding?
Answer:
2 cups
Step-by-step explanation:
18/6 = 3
3 x 2/3 = 6/3
6/3 = 2
Solve for x,
3x+5=14
Answer:
x = 3
Step-by-step explanation:
First, isolate the variable by subtracting 5 on both sides:
3x=9
Then, divide both sides by 3:
x = 3
Find the rate of change
Answer:
6 to 4 or 3 to 2
Step-by-step explanation:
To sove we need to find hypatonuse which you can do by counting across the bottom whichis 4 units and across the top which is 6 units so 6/4 which is 3 to 2 or 6 to 4
please help asap!!!!!!!!
Answer:
y=-3x-5
Step-by-step explanation:
y = mx+b
m= -11 - 1
2 - -2
y=-3x+b
(-2,1) and (2,-11)
is
y=-3x-5
Hope this Helps:)
What is the length of the graphed line segment
Answer:
acc. to me it should be
[tex] \sqrt{50} [/tex]
What is the speed of a car that is traveling at 75,000 meters in 5,400 seconds.
Answer:
13.9
Step-by-step explanation:
Speed=distance/time
S=75,000/5,400
S=13.8 repeating OR (rounded) 13.9 m/s
Can someone help me please
Answer:
y = 119
x = 29
Step-by-step explanation:
A designer determined the annual profit in dollars from selling t- shirts using p (n) = 10n - 50, where n the number t-shirts sold. What is the annual profit if the designer sells 100 t- shirts
F. $8,050
G. 10,000
H. 1,000
J. $950
Answer:
J. $950
Step-by-step explanation:
p(n)= 10n-50
p(n)=10(100)-50
P(n)=1000-50
950
Bella invested $1000 this past year and earned $110 in interest. Bella's investment portfolio was made up of two items: stocks, which earned 15% interest, and bonds, which earned 7% interest. How much money, in dollars, did Bella invest in stocks this year? Enter your answer as a number with two decimal places.
Answer: Bella invested $500 in first and $500 in second stock this year.
Step-by-step explanation:
Given: Total principal amount = $1000
Interest = $110
For first year , interest = P x r , where P= principal , r= rate of interest ( in decimal)
For first bond , interest rate= 15% = 0.15
Let P = x
Interest = 0.15x
For second bond , interest rate= 7% = 0.07
Let P = 1000-x
Interest = 0.07(1000-x)=70-0.07x
Now, [tex]0.15x+70-0.07x=110[/tex]
[tex]\Rightarrow\ 0.8x=40\\\\\Rightarrow x=\dfrac{40}{0.08}\\\\\Rightarrow x=500[/tex]
Also, 1000-x = 1000-500=500
Hence, Bella invested $500 in first and $500 in second stock this year.
Which expression converts 100 inches per minute to feet per minute?
StartFraction 100 inches Over 1 minute EndFraction × StartFraction 60 minutes Over 1 hour EndFraction
StartFraction 100 inches Over 1 minute EndFraction × StartFraction 1 hour Over 60 minutes EndFraction
100 inches Over 1 minute times × StartFraction 1 foot Over 12 inches EndFraction
100 inches Over 1 minute times × StartFraction 12 inches Over 1 foot EndFraction
Answer:
100 inches Over 1 minute times × 1 foot Over 12 inches
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A total of $68.75 was spent on pizza and sodas at the party. Let n be the number of pizzas purchased. Set up an equation involving n that models the scenario. Solve it and state both the number of pizzas and the number of sodas that were bought.
Answer:
n + s = $68.75
Step-by-step explanation:
Amount spent on pizza and soda = $68.75
Number of pizza = n
The soda = s
Then the total amount soe t can be modeled thus :
(number of pizzas + number of soda) = total amount spent
n + s = $68.75
If the price of each slice of pizza and unit of soda was given, we could have been able to calculate the amount spent on each of soda and pizza.
Is anyone good a geometry
Answer:
IT dependsssss
Step-by-step explanation:
what kind?
IF f(x) = -3x – 2; FIND f(3)
Step-by-step explanation:
f(3) = -3(3)-2
=-9-2
=-11
I don’t understand can u please get help
Answer:
If one angel is 74 so the solution is
[tex]74 + 2x = 180 \\ 2x = 180 - 74 \\ x = 106 \div2 \\ \: x = 53 \\ u = 74 \\ v = 53 \\ w = 53[/tex]
Step-by-step explanation:
Please mark as brainliest
Two angles are supplementary. If one of them is 30 degrees, the other is...
150
150
30
30
15
15
60
Answer:
450
Step-by-step explanation:
convet one solar day into second
Answer:
f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)
Step-by-step explanation:
can you tell me the answer
calculate without using tables the values of
(1+√2)⁴ - (1-√2)⁴
=========================================================
Work Shown:
A = 1+sqrt(2)
B = 1-sqrt(2)
-------------------
Using A and B, let's add and subtract those values
A+B = (1+sqrt(2))+(1-sqrt(2))
A+B = 1+sqrt(2)+1-sqrt(2)
A+B = 1+1+sqrt(2)-sqrt(2)
A+B = 2
and
A-B = (1+sqrt(2))-(1-sqrt(2))
A-B = 1+sqrt(2)-1+sqrt(2)
A-B = 1-1+sqrt(2)+sqrt(2)
A-B = 2sqrt(2)
-------------------
Next, square both sides of the A equation
A^2 = (1+sqrt(2))^2
A^2 = (1+sqrt(2))(1+sqrt(2))
A^2 = 1(1+sqrt(2))+sqrt(2)(1+sqrt(2))
A^2 = 1+sqrt(2)+sqrt(2)+sqrt(2)*sqrt(2)
A^2 = 1+2sqrt(2)+2
A^2 = 3+2sqrt(2)
-------------------
Do the same for B
B^2 = (1-sqrt(2))^2
B^2 = (1-sqrt(2))(1-sqrt(2))
B^2 = 1(1-sqrt(2))-sqrt(2)(1-sqrt(2))
B^2 = 1-sqrt(2)-sqrt(2)-sqrt(2)*(-sqrt(2))
B^2 = 1-2sqrt(2)+2
B^2 = 3-2sqrt(2)
There's a bit of nice symmetry going on with A^2 and B^2, due to A and B having similar symmetric structures themselves.
-------------------
Lets add A^2 to B^2
A^2+B^2 = (3+2sqrt(2)) + (3-2sqrt(2))
A^2+B^2 = 3+2sqrt(2) + 3-2sqrt(2)
A^2+B^2 = 3+3+2sqrt(2)-2sqrt(2)
A^2+B^2 = 6
-------------------
Now onto the final event
We'll use the difference of squares rule twice
Afterward, apply substitution using the previous sections above.
A^4 - B^4 = (A^2)^2 - (B^2)^2
A^4 - B^4 = (A^2-B^2)(A^2+B^2)
A^4 - B^4 = (A-B)(A+B)(A^2+B^2)
A^4 - B^4 = (2sqrt(2))(2)(6)
A^4 - B^4 = 2*6*2*sqrt(2)
A^4 - B^4 = 24*sqrt(2)
(1+sqrt(2))^4 - (1-sqrt(2))^4 = 24*sqrt(2)
-------------------
To check this with your calculator, you can type in the following
(1+sqrt(2))^4 - (1-sqrt(2))^4 - 24*sqrt(2)
The result you should get should be 0, or very close to it
I'm using the property that if x = y, then x-y = 0.
Aha:/ help me please
Step-by-step explanation:
y<3x-6,x=0 for y>-3x-5,y=0
y<-6 x<-5/3
y=0,x>2 x=0, y>-5
therefore, values of x will be 2<x>-5/3
and values of y will be -5<y>-6
so the point will be (-9,-1)
hope it helps.
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Answer:
x+2y=-8
Step-by-step explanation:
Slope of given line = 2
Slope of the perpendicular line = -1/2
Equation of perpendicular line is (y-y1)=m(x-x1)
y-(-3)=-1/2(x-(-4))
y+3=-1/2(x+4)
2y+6=-x-2
x+2y=-8
Find the percent of change
if the price of a $10 game is
marked up to $15.
Answer:
50%
Step-by-step explanation:
10 divided by 2 is 5. 5 is 50% of 10, and if you add 5 to 10, you get 15.
find the length indicated
Answer:
ST = 5
Step-by-step explanation:
RT = 7
Subtract the RS, which is 2.
You get, ST = 5.
in a survey, 8 out of 32 students preferred vanilla ice cream if 252 students are surveyed how many should theoretically prefer ice cream
Answer:
63 people
Step-by-step explanation:
Given parameters:
Number of students survey = 32
Number of those that liked ice-cream = 8
Total population size = 252
Unknown:
How many people in the population should prefer ice cream = ?
Solution:
From the survey;
8 out of 32 students prefer ice cream;
8 : 32
1: 4
This shows that 1 out of 4 students will prefer ice cream
NOw to the total population;
If out of 4 students, 1 prefers ice-cream;
Out of 252 students y will prefer ice-cream
Number of students that prefers ice-cream = [tex]\frac{252}{4}[/tex] = 63people
Find the value of f(-6).
y = f(x)
Answer:
i believe the answer is 4
Step-by-step explanation:
Please help me it’s timed! :,(
Answer:
A = 0.5714
basically the answer is option (d)
Please help i’ll give brainliest
Answer:
C
Step-by-step explanation:
Angle Bisector means the line is being split in half evenly. So, when angle 3 is 60, so is angle 4. Angles 1 and 2 are both 30 degrees because 30 + 60 equals to 90 degrees.
I hope this helps!
Answer:
60⁰..................
What is the siope of the line represented by the equation y= 4/5x - 3?
Answer:
4/5
Step-by-step explanation:
Slope is "m" in the formula y=mx+b
in your equation y=4/5x-3, 4/5 is in the "m" spot, so your answer is 4/5
In 1999, Marks & Spencer, a British department store, created the biggest sandwich ever made. The tuna and cucumber sandwich was in the form of a triangular prism. Suppose each slice of bread was 8 inches thick. Find each measure to the nearest tenth. a. The surface area in square feet of the sandwich when filled b. The volume of filling in cubic feet to the nearest tenth
Answer:
A) 19.2 ft^2
B) 28.9 ft^3
Step-by-step explanation:
Thickness = 8 inches
Assuming the triangular prism is made up of an equilateral triangle hence all sides are equal
lets assume the side = 10 inches
lets assume the thickness as the height of the prism = 8 inches
Assume length of the rectangle(l) = 5 feet
A) The surface area of the sandwich triangular prism
total surface area = bh + 2ls + lb
= 10*8 + 2(5*10) + ( 5 * 10 )
= 80 + 100 + 50 = 230 inches = 19.2 ft^2
B ) The volume of filing in cubic feet to the nearest tenth
V = [tex]\frac{1}{4} h \sqrt{-a^4 +2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}[/tex] ------- 1
where : a = b = c = 10 inches
h = 8 inches
input the given values into the equation 1 above
V= 346.41 inches ^3 = 28.9 ft^3
I WILL GIVE BRAINLIEST! Which table of values corresponds to the graph below?
Answer:
the very bottom graph
Step-by-step explanation:
all of the points listed on the table match the graph
x values is found on the x axis (left to right)
y values are found on the y axis (up and down)
Answer:
see below
Step-by-step explanation:
From graph, points (2, 0) and (0, -2).
slope m = (y₂ - y₁) / (x₂ - x₁)
= (-2 - 0) / (0 - 2)
= -2 / -2
= 1
y-intercept using anyone of the above points and m:
y = mx + b
0 = 1(2) + b
0 = 2 + b
b = -2
Equation of line using m and b:
y = 1x - 2
Use y = 1x - 2 to check the points given in tables:
All points in below table seems to work.
(0, -2)
-2 = 0 - 2
-2 = -2
(1, -1)
-1 = 1 - 2
-1 = -1
(2, 0)
0 = 2 - 2
0 = 0
(4,2)
2 = 4 - 2
2 = 2
I need help! yes I’m this dumb
Find The Unit Rate:
150 students for 5 classes. How many students per class?
Answer:
30 student
Step-by-step explanation:
150/5=30
Answer:
he unit rate would be 30 students per class.
Step-by-step explanation: One way to find the unit rate in this scenario, we could divide the total students by the number of classes. (150/5) The simplified fraction would be 30/1, or 30 students per class. Hope this help You!!!!!!!!!!!!!