Answer:
C. 20
Step-by-step explanation:
105 + 9.5x = 14.75x
105 = 5.25x
20 = x
Haley and her 4 friends decide to go out to dinner at Applebee's. The bill for their table came to $65.30. If they want to split
the bill evenly between them, how much will each person pay?
Answer:
$13.06
Step-by-step explanation:
There are five people so 65.30/5 = 13.06
Simplify the expression.
5^2 - 4 x 4
Answer:
Simplified equation: 25 - 16=9
Step-by-step explanation:
Evaluate the power
25 - 4 * 4
Multiply the numbers
25 - 16
Subtract the numbers
9
A water trough is 8 m long and has a cross-section in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 100 cm wide at the top, and has height 60 cm. If the trough is being filled with water at the rate of 0.1 m3/min how fast is the water level rising when the water is 30 cm deep?
Answer:
1.785 cm / min
Step-by-step explanation:
We have to the following equation:
V = A * L
The volume is equal to the area times the length, now, if we derive with respect to time we have:
dV / dt = dA / dt * L
Now, the area of a trapezoid is:
A = (Upper base + Lower base) / 2 * height
Now we have:
Upper base = 40 + h
Lower base = 40
Replacing we have:
A = (40 + h + 40) / 2 * h
A = (h ^ 2) / 2 + 40 * h
Now, we derive and we are left:
dA / dt = d [(h ^ 2) / 2 + 40 * h] / dh * dh / dt
dA / dt = (h + 40) * dh / dt
we replace dA / dt:
dV / dt = [(h + 40) * dh / dt] * L
We have that dV / dt is equal to 0.1 m ^ 3 / min, we know that 1m ^ 3 is equal to 10 ^ 6 cm ^ 3, therefore:
dV / dt = 10 ^ 5 cm ^ 3 / min
in addition L is equal to 8 m or what is equal to 800 cm, and also h at the required moment is 30 cm
we replace everything and we have:
10 ^ 5 = 800 * (30 +40) * dh / dt
dh / dt = 10 ^ 5/56000
dh / dt = 1.785 cm / min
What is the measure of ED (the minor arc) in the diagram below?
HELPPP ASAP PLS
Answer:
C
Step-by-step explanation:
The measure of the inscribed angle DEF is half the measure of its intercepted arc, that is
[tex]\frac{1}{2}[/tex] ∠ DEF = arc ED , that is
arc ED = 2 × 78° = 156° → C
Option c 156 is correct.
Angle of the arc at tangent EF = 78
Area of circle is given by the pie times square of radius.
Since Angle made by chord with tangent is equal to halve the angle made by cord with its radius.
So
2 ∡DEF = measure of arc ED
= 2 x 78
= 156
Thus, the measure of are ED is 156°
Learn more about circle here:
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80 POINTS!!!!
The table shows how much Eric earns for pruning trees. Write an equation that relates t, the number of trees Eric prunes to p, the amount he earns. Solve your equation to find how much Eric earns if he prunes 7 trees.
Answer:
Equation: 15t
Solution: 105
Step-by-step explanation:
You multiply 15 and 7 to get your solution.
i) A fish tank measures 1m long by 40cm wide and 60cm height.
What is the capacity of the fish tank?
ii) How many litres of water does it take to fill it three quarters full ?
Answer:
1. The capacity of the water tank = 240 litres
2. So it will take 180 litres to fill it three quarters full.
Step-by-step explanation:
Dimensions of a water tank:
1 Meter=100 CM
Length (l) = 100 cm,
wide (w) = 40 cm,
Depth (h)= 60 cm,
Volume of the tank (V)
LWH
100 cm × 40 cm × 60 cm
240,000 cm³
The capacity of the water tank = 240,000 cm³ / 240 litres
(240,000*3)/4 = 180,000 cm3
So it will take 180 litres to fill it three quarters full.
The exponent in “8n5” is:
Answer:
The exponent in "8n^5" is 5. We already know that the base is 8 and the variable is n, so that leaves the exponent to be 5. Hope this helps! Good luck on your assignment! (Brainliest would be appreciated if possible)
Simplify the following polynomial expression.
3x(-2x + 7) - 5(x -1) (4x -3)
The simplest polynomial expression is
-26x^2+56x-15
Answer: -26x^2 + 56x -15
Step-by-step explanation:
3x(-2x + 7) - 5(x -1) (4x -3)
-6x^2 + 21x - (5x + 5)(4x-3)
-6x^2 + 21x -20x^2 +15x + 20x -15
= -26x^2 + 56x -15
pls pls pls pls help
Answer:
the answer is option A
Step-by-step explanation:
How many dimes are in $25.00
Answer:
250 dimes
Step-by-step explanation:
A skier slides down a 750 m slope in 12.5 s. What is the average
velocity for the trip?
Answer:
The average velocity for the skier is exactly 60 meters per second.
Step-by-step explanation:
Divide the distance which is 750 meters and 12.5 seconds and you get 60 meters per second. Velocity formula --> 750 meters / 12.5 seconds = 60 m/seconds.
Plz mark brainliest if u r cool
Which of the following is a rational function?
Answer:
the answer is A
Step-by-step explanation:
a rational function is a ratio of two polynomial that has a denominator and numerator and can not be zero
So this isn’t a test I just want to make sure I’m writing this correctly.
I have written 2x-18=-2y+12
Then I added 18 is that correct so far.
Answer:
[tex]3[/tex]
Step-by-step explanation:
[tex]2x-18=-2y+12[/tex]
[tex]y=12[/tex]
[tex]2x-18=-2(12)+12[/tex]
[tex]2x-18=-24+12[/tex]
[tex]2x-18=-12[/tex]
[tex]2x-18+18=-12+18[/tex]
[tex]2x=6[/tex]
[tex]\frac{2x}{2} =\frac{6}{2}[/tex]
[tex]x=3[/tex]
Answer:
x = 3
Step-by-step explanation:
=> 2x-18 = -2y+12
Given that y = 12
Putting in the above equation to get the value of x
=> 2x-18 = -2(12)+12
=> 2x-18 = -24+12
=> 2x-18 = -12
Adding 18 to both sides
=> 2x = -12+18
=> 2x = 6
Dividing both sides by 2
=> x = 3
Help! Please show work and identify the solution or how many solutions there are to the system
Answer:
Step-by-step explanation:
the two given lines are parallel.
Hence they do not intersect.
or they have no solution.
Solve for the missing value x 3:9=x:81
Answer:
x=27
Step-by-step explanation:
So let's look at the ratio
3:9
x:81
x is proportional to 3 the same way that 81 is to 9
How would we get 9 to 81?
We would multiply by 9
So what is 3*9?
27
The formula for finding the surface area of a triangular prism is SA = 2 B + Ph . TrueFalse PLZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPP MMMMMMMMMMMMEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEe
Answer:
The Surface Area = 2 B + p h. So True
Step-by-step explanation:
Find the value of y.
Answer:
Step-by-step explanation:
DB=√(y²-25)
again DB=√(x²-36)
so √(y²-25)=√(x²-36)
squaring
y²-25=x²-36
x²=y²-25+36
or x²=y²+11
also x²+y²=(6+5)²
x²+y²=121
y²+11+y²=121
2y²=121-11
2y²=110
y²=110/2=55
y=√55
please answer neat will mark brain.
Answer:
9.110° and y are the same(alternate angles)
thus y=110°. 110+x=180(seplementary angles). thus x=180-110=70°
z(alternate)=70°
10.y=78°. x=(180-78)=102°. z=102°
11.x=83°. y=(180-83)=97°. z=97°
12.y=37°. x=(180-37)=143. z=143°
to confirm the answers all angles in a circle at the centre add up to 360°
.
The table below shows the fees David
charges for yard work.
David's Yard Work Fees
Hours
2
4
6
Fee ($)
70
140
210
How much money does David charge for
yard work that takes 4.5 hours?
Please help! Read the question down below!
Which of these values could be the slope of the line? Select
two options.
-2
-8/5
0
7/4
3
Answer:7/4 and 3
Step-by-step explanation:
Just took the test
Answer:
I think that the answer is D E
HELPPPPP ASAPPPPP 30 pointsss!!!!!
A It is lunch time at I.S. 237 and the table below lists the lunches that have
been served so far. Based on the results in the table, what is the
probability the next student will choose pizza?
Answer:
3/10
Step-by-step explanation:
reduce to simplest form -1/3-(-3/5)
Answer:
4/15
Step-by-step explanation:
-1/3-(-3/5)
Subtracting a negative is like adding
-1/3 + 3/5
We need to get a common denominator of 15
-1/3 *5/5 + 3/5 *3/3
-5/15 + 9/15
4/15
Answer:
4/15
Step-by-step explanation:
-1/3 + 3/5 (2 negatives make a positive)
Taking the lowest common multiple, we get:
= (- 5 + 9)/15
= 4/15
Hope this helps!
The figure shows a carpeted room. How many square feet of the room is carpeted?
Answer:
40
Step-by-step explanation:
So split it into two shapes. Two rectangles.
Rectangle 1 = 4 * 5 = 20
Rectangle 2 = 2 * 10 = 20
20 + 20 = 40
Answer:
40 square feet
Step-by-step explanation:
we can cut the carpeted space into 2 parts for easier calculation.
we can do 4 x 5 to find the first part, which equals to 20 square feet.
then, to find the side length of the left over rectangle, you can do 6 - 4, making it the length of the side length, which is 2. then all you must do is multiply 2 by 10, which also equals to 20 square feet.
Just add up both of the calculations(20 +20) then you'll get your answer!
the answer is 40 square feet.
Hope this helps and you understand now!
Answer the statistical measures and create a box and whiskers plot for the following set of data. You may optionally click and drag the numbers into numerical order.
3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17
3,4,5,6,6,7,7,12,13,14,14,15,15,16,17
Min:
Q1:
Med:
Q3:
Max:
For the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.
What is box and whiskers plot?
Box and wishkers plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.
The minimum and the maximum values in the box plot is plotted at the end points.
The following set of data which i s given in the problem.
3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17
Min: 3The minimum value in the given data is 3. Thus, the min is 3.
Q1:6First quartile appears at 6. Thus, the value of Q1 is 6.
Med:12The middle value of the given data is 12 which appears at the center of all the values. Thus the med is 12.
Q3:14.5Second quartile appears at 14.5. Thus, the value of second quartile Q2 is 6.
Max: 17The minimum value in the given data is 17 as shown in the image attached below. Thus, the min is 17.
Hence, for the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.
Learn more about the box and whiskers plot here;
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The smallest number by which 192 should be multiplied to make it a perfect cube is __
Answer: 9
Step-by-step explanation:
192 * 9 = 1728
Cube root of 1728 is 12
The diameter of a circle is 40 m. Find the area of the circle in terms of π. 40π m2 80π m2 400π m2 160π m2
Answer:
[tex]400\pi m^2[/tex]
Step-by-step explanation:
If the diameter is 40, the radius is 20.
The area is 400π
A smart-phone is thrown upwards from the top of a 240-foot building with an initial velocity of 32
feet per second. The height h of the smart-phone after t seconds is given by the quadratic equation
h = - 16t2 + 32t + 240. When will the smart-phone hit the ground?
Answer:
t = 5 sec
Step-by-step explanation:
h = - 16t² + 32t + 240
On the ground h = 0.
- 16t² + 32t + 240 = 0 / : (- 16)
t² - 2t - 15 = 0
(t-5)(t+3) = 0
t = 5, t = - 3
Time can be only positive, so t = 5 sec
17n=0.5n what is the value of n
Answer:
N=0
Step-by-step explanation:
If we wanted to answer the question mathematically, we could solve like so:
17n=0.5n
17n-0.5n=0.5n-0.5n
16.5n=0
n=0
The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will 3:4. Find their present ages..................pls help me
Answer: 8:11
Step-by-step explanation:
5 and 3 is Hari's ages.
5+3=8 (Now Hari is 8 ages)
7 and 4 is Harry's ages.
7+4=11 (Now Harry is 11 ages)
Ratio is 8:11
Answer:
Harry is 11 and Hari is 8
Step-by-step explanation:
5:7+3:4=8 and 11