Michael earns 12% commission on cell phone sales. He sold $549 worth of cell phones this week. How much did he earn in commission?
Answer:
Michael earns $69.88 in commission.
Step-by-step explanation:
549*0.12=69.88
8,11,14,14,13,15,9 Mean median mode Range
Answer:
Mean:12
Median:13
Mode:14
Range:7
Step-by-step explanation:
The Mean is the average.
8+11+14+14+13+1+9/7=12
The Median is the Middle number when in order from least to greatest.
8,9,11,13,14,14,15
The Mode is the number that appears the most.
14 Appears Twice
The Range is the largest number minus the smallest
15-8=7
Find the value of x and the value of y.
Answer:
B.
Step-by-step explanation:
If you extend the middle line, you will find that the two angles that the line makes are 60° and 40° by alternate interior angles.
Then, you can just make an equation:
2x + 2x - y + y + 60 + 40 = 360
4x = 260
x = 65°
Now you can use same side interior angles to make another equation:
2x - y + 60 = 180
130 + 60 - y = 180
y = 10
Todd has created the following diagram to prove the Pythagorean theorem. He drew (triangle)ABC with leg lengths a and b and hypotenuse length c. Then he drew altitude CZ to the hypotenuse. He determines that c/a=a/z and c/b=b/y. Then he determines that cx=a^2 and cy=b^2. What is the next step in proving the theorem?
Answer:
cx + cy = a² + b²
Step-by-step explanation:
Next step is adding up cx and cy:
cx + cy = a² + b²Then followed by:
c(x+y) = a² + b²c² = a² + b²Answer: cx + cy = a² + b²
Step-by-step explanation:
A 2-year loan of $500 is made with 4% simple interest. Find the interest earned. Please state the answer with a dollar sign followed by a whole number. Example: $32
Answer:
$10
Step-by-step explanation:
4% of 500 is 5 dollars and two years is 10
There are 345 fifth graders enrolled at Wilson Middle School and 15 fifth-grade classrooms. How many students are in each class if each class has the soame number of students?
Answer:23
Step-by-step explanation:
Literally just division
Answer:
23
Step-by-step explanation:
345\15=23
how many twentieths equal three-fifths
Answer:
12
Step-by-step explanation:
It takes twelve 1/20 tiles to exactly cover three 1/5 tiles, so 35=12/20.
The number of twentieths required to make three fifths is required.
Twelve twentieths equal to three-fifths
The question can be rephrased as "How many times do you have to add [tex]\dfrac{1}{20}[/tex] to get [tex]\dfrac{3}{5}[/tex]"
The end result should be [tex]\dfrac{3}{5}[/tex]
Let the number of times be [tex]x[/tex]
[tex]x\times \dfrac{1}{20}=\dfrac{3}{5}\\\Rightarrow x=\dfrac{3}{5}\times 20\\\Rightarrow x=12[/tex]
So, twelve twentieths equal to three-fifths.
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Given a cone 10 feet tall with a diameter of 10 feet, determine the radius of the smaller cone created when a horizontal plane passes through the cone at exactly 4 feet from the base.
Answer:
r=3 ft
Step-by-step explanation:
it is similarity of two triangles
one
perpendicular side=10 ft
base=10/2=5 ft
second
perpendicular side=10-4=6 ft
Base r=?
[tex]\frac{r}{5}=\frac{6}{10}\\r= \frac{6}{10} \times 5=3~ft[/tex]
What is the exponential form of log4 16 = 2?
Explenation:
Logarithm
log
b
x
is the exponent of a power with base
b
which gives the number under
log
sign (
x
).
In this example we can say that:
log
4
16
=
2
because:
4
2
=
16
Step-by-step explanation:
Which of the following sets of points are vertices of a right triangle?
1) A(-1, -3), B(4, -3), C(2, -1)
2) A(-2, 2), B(1, -4), C(4, 2)
3) A(-1, 1), B(3, 5), C(4, -4)
4) A(-1, 3), B(-4, -3), C(-4, 1)
I scanned for a pair of x coordinates that match and a pair of y coordinates that match. That would be a right triangle whose sides are parallel to the axes. It's possible our right triangle is more complicated, but let's start here.
Nope, it doesn't look like our right triangle is oriented to the axes. Let's do the Pythagorean Theorem.
1) A(-1, -3), B(4, -3), C(2, -1)
AB² = (4 - -1)² + (-3 - -3)² = 25
AC²= (2 - -1)² + (-1 - -3)² = 9 + 4 = 13
BC²= (2 - 4)² + (-1 - -3)² = 4 + 4 = 8
25 ≠ 13 + 8, not a right triangle
2) A(-2, 2), B(1, -4), C(4, 2)
AB² = (-2 - 1)² + (-4 - 2)² = 9 + 36 = 45
AC²= (4 - -2)² + (2 - 2)² = 36
BC²= (4 - 1)² + (2 - -4)² = 9 + 36 = 45
not a right triangle, but isosceles
3) A(-1, 1), B(3, 5), C(4, -4)
AB² = 4² + 4² = 32
AC²= 5² + 5² = 50
BC²= 1² + 9² = 82
BC² = AC² + AB², THIS IS A RIGHT TRIANGLE
4) A(-1, 3), B(-4, -3), C(-4, 1)
AB² = 3² + 6² = 45
AC²= 3² + 2² = 13
BC²= 0² + 4² = 16
not a right triangle
Answer: 3) A(-1, 1), B(3, 5), C(4, -4)
Kim works at an ice-cream store. She wants to calculate how much ice-cream one cone can hold. If the cone is 6 inches tall and the circular opening at the top is 2.5 inches across, how much can the cone hold? Round to the nearest tenth at the end.
Answer:
The cone holds 9.8 cubic inches ice cream
Step-by-step explanation:
Height of cone = 6 inches
The circular opening at the top is 2.5 inches across
Diameter of cone = 2.5 inches
Radius of cone = [tex]\frac{2.5}{2}=1.25[/tex]
Volume of cone = [tex]\frac{1}{3} \pi r^2 h[/tex]
Volume of cone = [tex]\frac{1}{3} \times 3.14 \times 1.25^2 \times 6[/tex]
Volume of cone = [tex]9.8125 in^3[/tex]
Hence the cone holds 9.8 cubic inches ice cream.
Which function can be used to find the number of ounces of coffee in the can based on its radius?
Answer:
A
Step-by-step explanation:
The answer is A I hope it helped!
Adding and subtracting radicals
Two triangular faces of a rectangular pyramid each have an area of 7.8 cm2 and the other two faces each have an area of 16.5 cm2. If the area of the base is 60 cm2, what is the total surface area of the pyramid? 84.3 cm2 108.6 cm2 157.2 cm2 168.6 cm2
The total surface area of the rectangular pyramid is the sum of the whole area. Therefore, the total surface area is 108. 6cm²
How to find the surface area of a pyramid?
The surface area of the rectangular pyramid is the sum of the whole areas.
The total surface area is the sum of the whole area.
A rectangular pyramid has 4 triangular faces and a rectangular base.
Therefore,
total surface area = 7.8 cm² + 7.8 cm² + 16.5 cm² + 16.5 cm² + 60 cm²
total surface area = 108.6 cm²
Therefore, the total surface area of the rectangular prism is 108. 6cm²
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Jared makes $133 per hour, but he loses 20% of his pay for a day if his boss catches him on the internet. If Jared works for 8 hours a day for 5 days, and his boss only catches him on the internet once how much money will he make in the five days?
Answer:
$5107.20
Step-by-step explanation:
His pay after he was caught once
133x 8=1064
1064x 20% = 212.8
1064-212.8=851.2
1064x 4= 4256
4256+ 851.2=5107.2
Suzy is shopping at a book sale. The table shows prices for paperbacks.
A two-column table with 3 rows. Column 1 is labeled Books (x) with entries 4, 6, 8. Column 2 is labeled Cost (y) with entries 6, 9, 12.
These points are graphed. Notice the pattern of the points. What is the rate?
The cost is $
for every 2 books.
Answer:
3 bucks
Step-by-step explanation:
The rate of change is 2 and the cost of two books is $3.
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, Suzy is shopping at a book sale. The table shows prices for paperbacks.
The points are, (4, 6), (6, 8), and (8, 12).
Slope(m) = (12 - 8)/(8 - 6).
Slope(m) = 4/2.
Slope(m) = 2.
Now, 4 books cost $6, hence 2 books cost $3.
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help me asap right answer gets most brainlyest
Answer: The answer is 1/4th :)
What is the distance between (6, 2) and (-3,-2)?
09
03
O V97
05
Answer:
√ 97
Decimal Form:
9.84885780 …
The figure below shows the quotient of Fraction 3 over 4 divided by Fraction 3 over 8 .
Rectangle divided into eight equal parts, where the first three-part is shaded dark representing three-eighths, the next three parts are shaded light to complete the three-fourths, and the last two parts are not shaded
The quotient is ____.
HELP PLEASE
The volume of this cone is 376.8 cubic feet. What is the radius of this cone? Height is 10ft
Use ≈ 3.14 and round your answer to the nearest hundredth
Answer:
6.08 ft
Step-by-step explanation:
Volume of cone = [tex]\frac{1}{3}[/tex][tex]\pi[/tex]r²h
Radius = [tex]\sqrt{ \frac{V}{\frac{1}{3}\pi h } }[/tex]
[tex]R = \sqrt{\frac{376.8}{\frac{1}{3} \pi 10} }[/tex]
[tex]R = \sqrt{\frac{376.8}{10.47} }[/tex]
[tex]R = \sqrt{36.98}[/tex]
[tex]R = 6.08[/tex]
Expand and simplify (x + 5) ( x + 6)
Answer:
x^2 + 11x + 30
Step-by-step explanation:
Ming took a cab across town. His fare was $22, and he leaves an 18%tip.
What is the total amount Ming pays the cab driver?
Answer:
$25.96
Step-by-step explanation:
take 18% of 22, which is 3.96. Add it to 22 and that's the amount Ming payed!
Pls help me on this question !
need help quick plz
Below is the graph of a trigonometric function. It has a minimum point at (- 10.4, - 9.8) and a maximum point at (- 3.6, - 1.2) . What is the period of the function?
Answer:
13.6
Step-by-step explanation:
The period is double of the distance (on the x-axis) between the maximum and the minimum. In this case, the x-coordinate of the minimum is -10.4, the x-coordinate of the maximum is -3.6, the distance is -3.6 - (-10.4) = 6.8, and the period is 2*6.8 = 13.6
Answer:
Step-by-step explanation:
4.3 unit from by khan academy
Please help! Choose all that apply.
Answer:
I believe that the answers are B & C
Step-by-step explanation:
Hope this helps! Please pick me as brainliest!
A cylinder and its dimensions are shown. Which equation can be used to find V, the volume of the cylinder in cubic centimeters?
A) V = π(3.5h)2
B) V = π(7h)2
C) V = π(3.5)2h
D) V = π(7)2h
Answer:
The volume of a cylinder is given by the equation:
V = π(R)^^2*h
where π = 3.14, R is the radius and h is the height.
If in the image we see that the radius is 7, then the correct option is D.
If in the image we shee that the DIAMETER is 7 (a linea that goes from end to end of the circle and goes trough the middle) then we know that the radus is half of the diameter, 7/2 = 3.5
in this case he correct option is C.
Answer:
There is no image included, so I cannot give a direct answer. However, you should be able to figure out the answer after my explanation.
Step-by-step explanation:
‼️now pay attention in order to get this question correct‼️
Well, this is a simple problem, since you don’t necessarily need to solve it. First, you need to know the formula of volume for a cylinder. This is: V = πr²h.
Figure out π. Π is a number too long to be written, so we found it up to 3.14.
π = 3.14
Now figure out the radius, for r. This, isn’t my problem to solve because I don’t have a picture of the cylinder so I cant determine so.
The equations don’t specify any height written, so we don’t have to solve for h yet.
This is your job now. So far, I’ve only figured out π, now find the radius, take that number, and fit it in the parentheses. V = π(_)²h. That’s it. Now look at the options, and pick the option that matches what you’ve already written.
I hope I’ve helped, taking time to write this... but I hope you wouldn’t mind brainliest lol c: take care and have a nice day!
which of the following are properties of the circumference of a triangle
Answer:
angle, length height
Step-by-step explanation:
The circumference of a triangle are the lengths of all three sides added together. If you ask yourself what are the properties you need to measre the lengths of a side.
1 gal 3 c= _fl oz
Convert the unit of capacity
Answer:
152 fluid ounces
Step-by-step explanation:
there are 128 fluid ounces in 1 gallon. there are 24 fluid ounces in 3 cups. 128+24 is 152. :)
what is the answer to:
16^3/2
In my view the answer is 2,048
I am not sure about this answer..so if it is mistake then sorry
Answer:
[tex]16^\frac{3}{2} = 64[/tex]
Step-by-step explanation:
[tex]16^\frac{3}{2}[/tex]
Factor the number: [tex]16 = 4^2[/tex]
[tex]= (4^2)^{\frac{3}{2} }[/tex]
Apply exponent rule: [tex](a^b)^c=a^b^c[/tex]
[tex]\left(4^2\right)^{\frac{3}{2}}=4^{2\cdot \frac{3}{2}}=4^3[/tex]
[tex]= 4^3[/tex]
Refine:
[tex]=64[/tex]
Hope I helped, may I get brainliest and a thanks?
Thank you, have a good day! =)
