Answers
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Calculate the total area of the rectangle:
21 x 12 = 252
Half of the rectangle is unshaded so:
252 ÷ 2 = 126
For clarification, side A is the top, side B is the left hand side and side C is the bottom.
Now, find the area of the unshaded side of the other triangle. As the length of side C is 21 and the shape is a rectangle, side A is also 21. We need to calculate the amount is unshaded on this side so:
21 - 14 = 7
(7 x 12) ÷ 2 = unshaded
84 ÷ 2 = 42
So now we know the total of the shape that is shaded, we can now subtract this from the total area of the shape:
252 - 126- 42 = 84
Which in fraction form is:
[tex]\frac{84}{252}[/tex]
This can be simplified down by dividing both the numerator and the denominator by 3:
[tex]\frac{84 \div 3}{252 \div 3}[/tex]
=[tex]\frac{1}{3}[/tex]
Hope this helps!
Related Questions
Simplify this problem?
Answers
Answer:
-22
Step-by-step explanation:
mark this brainliest and rate 5 stars if it helped :)
pls like it!
Which expression does not have a solution of 14, if w = 9?
a. w + 5
b. 5 + w
c. 23 - w
d. w - 9
Answers
If z=15, what would the expression z2 – 2z + 15 be equal to?
A 205
B 210
C 215
D
220
Answers
(8 points) will mark brainliest!! pls help:)
Answers
Answer:
-0.366666666667
Step-by-step explanation:
that's what you get when you divide -22/5 (-4 2/5) by 4/3 (1 1/3)
Answer:
-24/5 is the correct answer.
Steps:
1) -4 x 2/5 = -8/5
2) 1 x 1/3 = 1/3
3) -8/5 : 1/3 = -24/5
Ahmad bought 11 pounds of sugar for $6.
How many dollars did he pay per pound of sugar?
Answers
See attached question
Answers
Answer:
Its 34 times 87
Step-by-step explanation:
34 times 87 is 2958
please help as fast as you can
Answers
Answer:
x= 32 i think
CD= 51
Step-by-step explanation:
Answer:
9x-15=7x-1. => 2x=14 x=7
CD= 7×7-1=48
Which graph appears to show a linear proportional relationship between x and y?
A,B,C, or D
Answers
Answer:
Step-by-step explanation:
PLEASE HELP!!
What is the equation that represents the sequence shown below?
7/2, 7/4, 7/8, 7/16, ….
Answers
Answer:
7/2(1/2)^(n-1)
Step-by-step explanation:
multiplied by 1/2 each time, and first one is 7/2, so 7/2(1/2)^(n-1)
y’all please help me
Answers
Multiply or divide. write fractions in simplest form.
0.15 x (-0.6)
please help with this problem. i will mark you brainliest !
Answers
Step-by-step explanation:
Multiply
0.15
by
−
0.6
.
−
0.09
0.15x(-0.6)=-0.09
Can someone please help me
Answers
Answer:
Q14. Percentage decrease in price of TV
= (1100-1034)r1100×100%
= 66r1100×100%
= 6%
Q15. 450r9000 × 100% = 5% discount
Answer:
Q14 - 6% decrease
Q15 - 5% decrease
Step-by-step explanation:
how to get your answers;
subtract starting value with final value
divide the sum with the starting value
multiply by 100 and round if needed
hope that helps. ♥️
9÷108 please tell me
Answers
Answer:
108 ÷ 9 = 12
Step-by-step explanation:
Answer:
0.083333333333333
Step-by-step explanation:
A special cereal mixture contains rice and wheat in the ratio of 2:3. If a bag of the mixture contains 3 pounds of rice, how much wheat does it contain?
Answers
20.
Find a quadratic function to model the values in the table.
A. y = -2x^2 - 3x + 3
B. y = 3x^2 + 3x - 3
C. y = -3x^2 - 3x - 3
D. y = 2x^2 + 3x + 2
Answers
Answer:
B. y = 3x^2 + 3x - 3
Step-by-step explanation:
Find the function rule.
y = 3 x ^2 + 3 x − 3
\table[[x,y],[-1,-3],[0,-3],[3,33]]
The quadratic function to model the values in the table is,
⇒ y = 3x² + 3x - 3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The values of x and y in the table are,
⇒ x = - 1, 0, 3
⇒ y = - 3, - 3, 33
Now, We know that;
The standard form of the quadratic equation is,
⇒ y = ax² + bx + c
Put x = - 1, y = - 3;
⇒ - 3 = a (- 1)² + b (- 1) + c
⇒ - 3 = a - b + c .. (i)
Put x = 0, y = - 3;
⇒ - 3 = a (0)² + b (0) + c
⇒ - 3 = c
Put x = 3, y = 33;
⇒ 33 = a (3)² + b (3) + c
⇒ 33 = 9a + 3b - 3
⇒ 36 = 9a + 3b
⇒ 36/3 = 3a + b
⇒ 3a + b = 12 .. (ii)
From (i);
⇒ - 3 = a - b + c
⇒ - 3 = a - b - 3
⇒ a - b = 0 .. (iii)
Solve for (i) and (iii), we get;
⇒ a = 3, b = 3
Hence, The quadratic function to model the values in the table is,
⇒ y = ax² + bx + c
⇒ y = 3x² + 3x - 3
Learn more about the mathematical expression visit:
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A couple goes to a restaurant for dinner. Below is a probability table in which X is the
amount (dollars) on the meal spent by the husband and Y is the amount spent by the
wife.
X = 15
X = 20
X = 25
Y = 15
0.20
0.15
0.05
Y = 20
0.15
0.15
0.10
Y = 25
0.05
0.10
0.05
a. (7 pts) What is the probability that this couple spends 45 dollars or more?
b. (7 pts) Suppose that the restaurant is currently running a promotion with a
10% discount if the total amount spent by a table is 45 dollars or more.
What is expected total amount the couple actually has to pay?
Answers
Using the probability table, it is found that:
a) There is a 0.25 = 25% probability that this couple spends 45 dollars or more.
b) The expected amount the couple actually has to pay is $36.85.
From the table, the probabilities of each total cost are:
[tex]P(X = 30) = P(X = 15|Y = 15) = 0.2[/tex]
[tex]P(X = 35) = P(X = 15|Y = 20) + P(X = 20|Y = 15) = 0.15 + 0.15 = 0.3[/tex]
[tex]P(X = 40) = P(X = 15|Y = 25) + P(X = 20|Y = 20) + P(X = 25|Y = 15) = 0.05 + 0.15 + 0.05 = 0.25[/tex]
[tex]P(X = 45) = P(X = 20|Y = 25) + P(X = 25|Y = 20) = 0.1 + 0.1 = 0.2[/tex]
[tex]P(X = 50) = P(X = 25|Y = 25) = 0.05[/tex]
Item a:
This probability is:
[tex]P(X \geq 45) = P(X = 45) + P(X = 50) = 0.2 + 0.05 = 0.25[/tex]
There is a 0.25 = 25% probability that this couple spends 45 dollars or more.
Item b:
The expected value is the sum of each outcome multiplied by it's respective probability.
For X = 45 and X = 50, the value is multiplied by 0.9, due to the discount.Hence:
[tex]E(X) = 0.2(30) + 0.3(35) + 0.25(40) + 0.9[0.2(45) + 0.05(50)] = 36.85[/tex]
The expected amount the couple actually has to pay is $36.85.
A similar problem is given at https://brainly.com/question/24855677
A sum of money was shared between Joan and Ngozi in the ratio 5:3. If Joan share was 40.00naira how much was the original sum of money
Answers
Answer:
64
Step-by-step explanation:
J : N
5 : 3
40 : x
40×3=120
120÷5=24
24+40=64
to confirm if it's correct:
5:3
5+3=8
(5/8)×64=24
(3/8)×64=40
therefore, it's 64
Elizabeth recently bought a new bike, and she has started biking to and from work. The
round-trip distance is 9 kilometers.
Write an equation that shows the relationship between the number of round trips, x, and
the total number of kilometers Elizabeth has biked, y.
Answers
Answer:
the answer is 9x
Step-by-step explanation:
y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that,
Elizabeth recently bought a new bike, and she has started biking to and from work.
The round-trip distance is 9 kilometers.
We need to find an equation that shows the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.
y=9x
Hence y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Drag the tiles to the correct boxes. Not all tiles will be used. What are the domain and the range of function f? range arrowRight domain arrowRight
Answers
here are the correct answers :)
PLEASE HURRY WILL GIVE BRANLESIT
Function 1 is represented by the equation y = 6x + 25
Function 2 is represented by the table.
x y
5 31
10 41
15 51
20 61
Which statement about the two functions is true?
The rate of change for Function 2 is 5 times the rate of change for Function 1.
The rate of change for Function 2 is three times the rate of change for Function 1.
The rate of change for Function 2 is one third the rate of change for Function 1.
The rate of change for Function 2 is the same as the rate of change for Function 1.
Answers
Answer:
The rate of change for Function 2 is one third the rate of change for Function 1.
Please mark brainliest if possible :)
a
How many seconds are in a day? Use the conversion equivalency 24 hours = 1 day, 60 minutes = 1 hour, 60 seconds
= 1 minute
8640 seconds in one day
b. 1440 seconds in one day
1200 seconds in one day
d. 86,400 seconds in one day
C
Please select the best answer from the choices provided
Ο Α
B
OD
Answers
Answer:
D)86400 seconds
Step-by-step explanation:
In 1 hour there are 60 minutes and in 1 minute there are 60 seconds.
Brainliest?
9th grade math pls help
g(x)=2f(1/2x)
Answers
Answer:
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
g*(x)-(2*f*(1/2*x))=0
f=g
g=f
x=0/-f+g.
Tell me if you want step by step!
Hope this helped! :)
(I just solved for the variables I don’t know if you want be me to solve for something else.)
Janice bought 4 oranges for $3.40. what is the unit price.
Answers
will be 0.85
.85 per unit
Check answer
.85 unit x 4 = 3.40
A baker needs to arrange 487 cookies on plates.
Each plate can hold 8 cookies. How many plates will
the baker need
Answers
Based on the information given the number of plates that the baker will need is 61 plates.
Using this formula
Number of plates=Number of cookies arranged/Each plates number of cookies
Where:
Number of cookies arranged=487
Each plates number of cookies=8
Let plug in the formula
Number of plates=487/8
Number of plates=60.9
Number of plates=61 plates (Approximately)
Inconclusion the number of plates that the baker will need is 61 plates.
Learn more here:https://brainly.com/question/25130978
Coach Eddie ordered baseball gloves 30% of them were left handed. If 24 gloves were left handed, how many total gloves are there
Answers
Answer:
sorry I don't understand
Is there a proportional relationship between x and y? Explain.
Answers
Answer:
c
Step-by-step explanation:
14-11=3
12-9=3
10-7=3
8-5=3
Answer:
A
Step-by-step explanation:
It isn’t proportional because when you graph the coordinates, it doesn’t pass the origin, so it isn’t equivalent. Therefore, making the answer A.
A boy eats ⅝ of a loaf at breakfast and ¼ of it for Lunch. what fraction of the loaf is Left?
Answers
This makes the fractions, 5/8 and 2/8.
5/8 + 2/8 = 7/8
8/8 - 7/8 = 1/8
There is 1/8 of the loaf left.
Please take a look at the picture
Answers
Answer:
C
Step-by-step explanation:
it is none of the above, because
x - (-x) = x + x = 2x
and that is not -x
0 - (-x) = 0 + x = x
and that is not -x
solve the following stystem -4x + 2y = 0 and x + y = -1
Answers
Do y’all know the answer ….???
Answers
Answer:
$500
Step-by-step explanation:
John earns $100 per night.
He works 5 nights a week.
Therefore his weekly gross wage = $100 × 5
= $500