Mr. Jones grades 12 exams
in 2 hours. At that rate,
how many hours would it
take to grade 48 exams?
Answer:
8 hours
Step-by-step explanation:
12/2= 6
He grades 6 exams per hour
48/6= 8
it would take 8 hours to grade 48 exams
Bonus:
it takes him 10 minutes to grade an exam. That doesnt matter for this question but it's good 2 know
Answer:
8 hours
Step-by-step explanation:
To solve this it seems you need to set up a proportion.
12/2=48/x
cross multiply the 2 and 48.
2•48=96.
divide by the remaining number to get x.
96/12=8.
Given circle O lies perfectly within square ABCD. If side BC = 6.84, then what is the area of the orange region?
What we get to know by looking at picture :
There are two figures: 1. square 2. circle inside it touching all square's wall.As O is center of circle (given) ∴ OP is radius of circleAs the sides are of square , therefore AB = BC = DC = AD[tex] \\ \\\\ [/tex]
To find :
Area of orange region[tex] \\ \\ \\ [/tex]
Given:
O is the center of the circle.ABCD is squareLength of BC is equal to 6.84.[tex] \\ \\ \\ [/tex]
Concept:
So as we can orange doesn't lies inside circle. And the wall of circle touches all four sides of circle. So first we have to find area of circle and then Area of square. And then we will subtract the ares. The result will be Area of orange part.
[tex] \\\\ \\ [/tex]
Solution:[tex] \\ \\\\ [/tex]
[tex] \red{ \textsf{ \textbf{Area of circle: }}}[/tex]
[tex] \\ [/tex]
To find area of circle we need radius of it i.e Length of OP.
As BC = AB
∴AB = 6.84
As O is the center of square ∴it's center of circle too
Therefore:
AB = 2 OP6.84 = 2 OPOP = 6.84/2OP = 684/2 × 10OP = 342/10OP = 3.42[tex] \\\\ [/tex]
Now Let's find area :
[tex] \\\\ [/tex]
[tex] \star \boxed{ \rm Area~of~circle = \pi {r}^{2} }[/tex]
here :
r is the radius of circle.[tex] \\ [/tex]
[tex]: \implies\sf Area~of~circle = \pi {r}^{2} \\ \\ \\ : \implies\sf Area~of~circle = \dfrac{22}{7} \times {3.42}^{2} \\ \\ \\ : \implies\sf Area~of~circle = \dfrac{22}{7} \times {3.42}^{2} \\ \\ \\ : \implies\sf Area~of~circle = \dfrac{22}{7} \times11.7\\\\\\: \implies\sf Area~of~circle = \dfrac{257.4}{7} \\ \\ \\ : \implies \boxed{ \orange{\tt{ Area~of~circle = 36.6 \{approx \}}}} \bf \dag[/tex]
[tex] \\ \\ [/tex]
[tex] \red{ \textsf{ \textbf{Area of square: }}}[/tex]
[tex] \\\\ [/tex]
[tex] \star \boxed{ \rm Area~of~square = {side}^{2} }[/tex]
[tex] \\ \\ [/tex]
[tex]: \implies\sf Area~of~square = {side}^{2} \\ \\ \\ : \implies\sf Area~of~square = {6.84}^{2} \\ \\ \\ : \implies\sf Area~of~square = {6.84} \times 6.84 \\ \\ \\ : \implies \boxed{\tt{ \orange{Area~of~square = 46.8 \{aprox \}}}}\bf\dag[/tex]
[tex] \\ \\ [/tex]
[tex] \red{ \textsf{ \textbf{Area of orange \: part: }}}[/tex]
[tex] \\ [/tex]
[tex] \star\sf \boxed{ \rm Area_{(orange \: part)} = Area_{(square)} - Area_{(circle)}}[/tex]
[tex] \\ \\ [/tex]
[tex]: \implies\sf Area_{(orange \: part)} = 46.8 - 36.6 \\ \\ \\ : \implies \boxed{ \blue{\tt{Area_{(orange \: part)} = 10.2}}}\bf\dag[/tex]
What is the value of x?
8 is 80% OF WHAT NUMBER?
155 is 25% of WHAT NUMBER?
Answer:
8 is 80% of 10
155 is 25% of 465
Step-by-step explanation:
the first one is easy, and the second one, 25% is 1/4, so if you multiply 155 by 4, you get 465
what does (5x3)+(4x2) equal
Answer:
23
Step-by-step explanation:
5 x 3 = 15
4 x 2 = 8
15 + 8
= 23
ТУ
Which quadratic function is represented by the graph?
6
5
4
O FUX) = - (x + 1)(x – 5)
O f(x) = - (x – 11x + 5)
3
2-
14
O f(x) = -5(x + 1)(x - 5)
2 3 4 5 x
3 -5 -5 -4 -3 -2 -21
-2
O f(x) = -5(x - 1)(x + 5)
+
-3
4
6
Answer:
the first one
Step-by-step explanation:
because I know the answer
The quadratic function represented in the graph is f(x) = -5 (x - 1) (x + 5).
What are Quadratic Functions?Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.
The general form of a quadratic function is f(x) = ax² + b x + c.
Given a graph of a quadratic function.
The graph is directed downwards. So the leading coefficient is negative.
The function touches the X axis at two points, x = -5 and x = 1.
So -5 and 1 are the zeroes of the function.
So the function can be factored as,
f(x) = (x + 5)(x - 1)
So the quadratic equation is,
f(x) = -5 (x - 1) (x + 5)
Hence the equation of the given quadratic equation is f(x) = -5 (x - 1) (x + 5).
Learn more about Quadratic Equations here :
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Is the vertex of the graph a maximum or a minimum?
Answer:
maximum
Step-by-step explanation:
Concepts
The vertex of a graph represents the turning point in a parabola.
Example: The graph shown in your question first steadily increases, but then at the point (1,3), it begins to go down. The point (1,3) is called the vertex in this case because it symbolizes the turning point.
Application
We are asked to determine if the vertex of this graph is a maximum or minimum. If the vertex is maximum, it's the highest point on the graph. If it's the minimum, it's the lowest point on the graph. Using your stunning eyes, you can see that the vertex is the highest point on the graph, making the answer maximum.
The side lengths of the rectangle are multiplied by 1/3 what is the new area
Answer:
New area is 1/9th the original area
Step-by-step explanation:
Original area = L x W
now reduce the side lengths
1/3 L x 1/3 W
1/3 * 1/3 * L x W
1/9 L x W <===== the new area is 1/9th the original area
PLEASE HELP! URGENT! ASAP! WILL GIVE BRAINLEST!
Answer:
[tex]\frac{\pi }{4}[/tex]
Step-by-step explanation:
Solving :
(2 cos(θ))² = 2
4 cos²θ = 2
cos²θ = 1/√2
cosθ = [tex]\frac{\pi }{4}[/tex]
Factor 6x^2+14x.
Please, help
Factor 2x from 6x².
2x (3x)+14x
Factor 2x from 14x.
2x (3x) + 2x (7)
Factor 2x from 2x (3x) + 2x (7).
2x(3x+7) ====> Answers
Answer:
(2x)(3x + 7)
Step-by-step explanation:
Hello!
We can factor this expression by taking out the GCF of both the terms.
The GCF is 2x, because it is the largest factor that is in common between 6x² and 14x
Factor6x² + 14x2x(3x) + 2x(7)(2x)(3x + 7)The factored expression is (2x)(3x + 7)
Multiply.
(2y+5) (5y + 7)
Simplify your answer
Answer: I think it might be 10y
2
+39y+35
Step-by-step explanation: Apply the distributive property by multiplying each term of 2y+5 by each term of 5y+7. Then, Combine 14y and 25y to get 39y.
hope this helps!
♥ Chen was here
Answer:
10y^2 + 39y +35
Step-by-step explanation:
First distribute (2y+5)(5y+7)-
2y(5y + 7 )+ 5(5y + 7) This turns into:
10y^2 + 14y + 25y +35
Now combine the like terms (14y+25y)
You should get 10y^2 + 39y + 35 which is your final answer. :)
A new TV costs $675 and the finance rate is 9.5%. If a down payment of $75 is made
and the TV is financed for one year, what is the monthly payment?
Answer:
The monthly payment will be $54.75
Step-by-step explanation:
Hope this helps!
Simplify this expression.
8(h-4)-h-(h+7)
Solve step-by-step
Answer:
6h - 39 or 3(2h - 13)
Step-by-step explanation:
Distribute the terms in the parentheses.
8(h - 4) - h - (h + 7)8h - 32 - h - h - 7Combine like terms
8h - h - h - 32 - 76h - 393(2h - 13) [by grouping]8 (h - 4) - h - (h + 7)
8h - 32 - h - h - 7
6h - 39
3 (2h - 13)
What is the volume of the right triangular prism in cubic meters?
Answer:
8×3×2=48
Step-by-step explanation:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Answer:
48 cubic meters
Step-by-step explanation:
The price of a train ticket costs of an initial fee of $5 plus a fee of $2.75 per stop. Julia has $21 and would like to travel 50 kilometers. She wants to know the largest number of stops she can afford to buy on a ticket
Let S represent the number of stops that Julia buys
Which inequality describes the scenario and What is the largest number of stops that Julia can afford?
Answer:
Julia can afford 5 stops including the initial fee
Step-by-step explanation:
Initial Fee = $5
Rate per stop = $2.75
Amount = $21
$21 - $5 ÷ $2.75 = 5 with remainder
The speed of light in a vacuum is 29,980,000,000
centimeters per second. In scientific notation, this
number is written as
A. 2.998 x 10⁹.
B. 2.998 x10¹0.
C.
29.98 x 10⁹.
D. 29.98 x10¹0.
Answer:
[tex]\huge\boxed{\sf 2.998 \times 10^{10}}[/tex]
Step-by-step explanation:
Given number:
29,980,000,000
Rules:
Move the decimal point after the first non-zero digit. (after 2)Here, we will move the decimal point 10 places to the left to move it after the first non-zero digit.Since we move the decimal point 10 places, we will write the number as a multiple of 10¹⁰ (10 being the exponent).The number will become:
2.998 × 10¹⁰
[tex]\rule[225]{225}{2}[/tex]
Answer:
B. 2.998 x 10¹⁰
Step-by-step explanation:
Given :
29,980,000,000Steps in solving :
Take the zeros after the last non-zero digit as a power of 10.Take the non-zero part (in the part) and put a decimal point after between the thousands and hundreds place, and shift the remaining powers of 10 to the previously grouped part.Adjust further if needed to match an answer.Solving :
29,980,000,0002,998 x 10⁷2.998 x 10³ x 10⁷2.998 x 10¹⁰The value of “p” in 1
3
+ p = 2
5
is .............
Answer:
p = 12
Step-by-step explanation:
13 + p = 25 ( subtract 13 from both sides )
p = 12
Answer:
the value of P is 12
Step-by-step explanation:
if 13+P=25 then P must be 12
subtract 13 from both sides
you're left with P=12
Solve equation 2x+7=17
Answer: x =5
Step-by-step explanation:
subtract 7 on both sides than divide by 2
Answer:
x = 5
Step-by-step explanation:
Given: 2x + 7 = 17
1. Subtract 7 from both sides
2x + 7 - 7 = 17 - 7
2x = 10
2. Divide both sides by 2
2x ÷ 2 = 10 ÷ 2
x = 5
Final answer: x = 5
Learn more about solving equations here:
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The coordinates of the vertices of quadrilateral HIJK are H (-2, -1), I (2, 1), J (5, 0), and K (-1, -3). Isabella states that quadrilateral HIJK is a parallelogram. Is Isabella correct? Support your answer and show all work.
Answer: No
Step-by-step explanation:
Which of these scenarios illustrate independent events?
Answer:
A. Only ll
B. only ll
C. Both l and ll
D. Neither l nor ll
Answer:
The answer would be C, Both I and II.
Step-by-step explanation:
You can find an attached file which shows the scenarios incase your confused.
3) You are interested in understanding how often Tacoma residents visit the downtown area.
Tacoma has many residents, but you only survey 248 of the residents.
You asked this sample of 248 people how many times they have visited downtown in the past year.
The mean number of times in the past year that they visited downtown was 5.40, with a standard
deviation of 16.
Based on this information, construct and interval with 95% chance that it contains the true
population mean. (Construct a 95% confidence interval).
2. Which situation does have a final value of 0? A. A jet tose lo a height of 1000 feet ubove the ground. It then descended to a height of 100 feet. B. The tempetature at 1:00 p.m. was 10"F. It dropped another 10 over 4 hours. C Pace deposits $10 in his account and then withdrew $10. D. Keith guinod 8 yards during the first quarter of the football game and then lost 8 yards during the second quarter. pls helpp
You are investing $1500 at 6.2% compounded annually. How much money will you have in 12 years?
Answer:
$3087.35
Step-by-step explanation:
Compound interest formula
[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A = final amountP = principalr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $1500r = 6.2% = 0.062n = 1t = 12 yearsSubstituting given values into the equation and solving for A:
[tex]\begin{aligned}\sf A & =\sf P \left(1+\frac{r}{n}\right)^{nt}\\\\\implies \sf A & = \sf 1500\left(1+\frac{0.062}{1}\right)^{1 \times 12}\\\\& = \sf 1500(1.062)^{12}\\\\& = \sf \$ 3087.35 \: (nearest\:cent)\end{aligned}[/tex]
two squares have a total area of 208cm square and sum of their perimeter is80cm what are the length of sides of square
The length of the sides of the square are 8 centimetres and 12 centimetres respectively
How to finds area of a square?area = l²
where
l = side lengthTherefore,
x² + y² = 208
How to finds perimeter of a square?perimeter = 4l
4x + 4y = 80 cm
x + y = 20
x = 20 - y
(20 - y)² + y² = 208
y² - 40y + 400 + y² = 208
2y² - 40y + 192
y² - 20y + 96
(y - 12)(y - 8)
Therefore, y = 12 and y = 8
when y = 8
x + 8 = 20
x = 12
when y = 12
x + 12 = 20
x = 8
Therefore, the length of the sides of the square are 12 cm and 8 cm.
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George Carrillo
What is the surface area of the sphere?
20 cm
Right
Rectangular S.A. = 2(lwt wh+ hl)
Prism
Right Prism S.A - ph+28
Right
Cylinder
SA. - 2 + 2 trh
Right Cone S.A = x +
Regular
pl
S.A = +8
Pyramid
Sphere SA 4
Cylinder Vrh
Cone
v-garn
Vrh
Pyramid
V-B
A 3207 cm
B 4007 cm
Sphere
VG
C 1600 cm
D 32007 cm
Answer:
1600π cm^2.
Step-by-step explanation:
S. A. of a sphere = 4πr^2
= 4 π 20^2
= 1600π cm^2
9+n=-2
how do i find the unknown exponent n?
In the figure below, what is the value of x?
Answer:
x = 31.
Step-by-step explanation:
93 = x + 62 (External Angle Theorem).
x = 93 - 62
= 31
Choose the best description of the cross section shown in each image.
Answer:
Rectangle
Trapezoid
Square
Triangle.
Step-by-step explanation:
I need help with this equation. Please solve for k
Hey there!
18 = -k + 3
-k + 3 = 18
-1k + 3 = 18
SUBTRACT 3 to BOTH SIDES
-1k + 3 - 3 = 18 - 3
SIMPLIFY IT!
-1k = 18 - 3
-1k = 15
DIVIDE -1 to BOTH SIDES
-1k/-1 = 15/-1
SIMPLIFY IT!
k = 15/-1
k = -15
Therefore, the answer is: k = -15
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
how to make a histogram
