Answers
9514 1404 393
Answer:
36 cm²
Step-by-step explanation:
This shape can be considered to be a 6 cm by 7 cm rectangle with a 2 cm by 3 cm area cut from the lower right corner. Its area is then ...
area of full rectangle - area of cutout
= (6 cm)(7 cm) -(2 cm)(3 cm)
= 42 cm² -6 cm² = 36 cm² . . . . area of irregular figure
Related Questions
Ten years ago, Scott bought a board game for $30. That board game has now increased it's value by 83%.
100
What would be the price of that game now?
Answers
Answer:54.9
Step-by-step explanation:
Factor completely: 5x2 - 2x
Answers
X(5x-2) thats how you factor
Kevin and Doreen each made a fruit salad. The amounts of ingredients they have are shown. Kevin used all of the strawberries, blueberries, and melon to make his fruit salad. Doreen made 2 cups of fruit salad containing all of the bananas, peaches and apples. How much fruit salad did Kevin make? How much more fruit salad did Doreen make than Kevin?
Answers
Answer:
The first thing you should do for this case is to graph the data you have in the statement to see the relationship between grapes and blueberries.
The function represented by the table is
y = 0.25x
Then, as Mandie is making 15 glasses of fruit salad, we have:
y + x = 15
We have two equations and two unknowns that we must solve.
y = 0.25x
y + x = 15
Resolving
For x:
0.25x + x = 15
1.25x = 15
x = 15 / 1.25 = 12
For y:
y = 0.25x = 0.25 (12) = 3
Answer
The ratio of grapes to blueberries she should use is 12: 3
5x - 2y = 15
2x + 4y = 12
Select the solution to the system from the options below:
Answers
Answer:
7/2, 5/4
Step-by-step explanation:
Answer:
x = 7/2 and y = 5/4
Step-by-step explanation:
2(5x - 2y = 15)
2x + 4y = 12
10x - 4y = 30
2x + 4y = 12 (add)
-----------------
12x = 42
x = [tex]\frac{42}{12}[/tex] = [tex]\frac{7}{2}[/tex]
2x + 4y = 12 (subsitute)
2([tex]\frac{7}{2}[/tex]) + 4y = 12
7 + 4y = 12
4y = 5
y = [tex]\frac{5}{4}[/tex]
Jada makes sparkling juice by mixing 2 cups of sparkling water with every 4 cups of apple juice . How much apple juice does Jada need if she uses 6 cups of sparkling water?
Answers
Answer:
3 cups of sparkling water
Step-by-step explanation:
So the ratio is 2:4=?:6
Setting them equal to each other, you'll divide 6 by 4
You get 1.5, then multiply 2 by 1.5 to get 3
10
1 point
Solve the system of linear equations. Check your solution.
2x+y = 3
X-y= 3
Solution type your answer...
type your answer...
Answers
Answer:
x = 2, y = -1.
Step-by-step explanation:
2x + y = 3
x - y = 3
Adding the 2 equations eliminates y:
3x = 6
x = 2.
Substitute for x in the first equation:
2(2) + y = 3
y = 3 - 4
y = -1.
Check the results by substitution in equation 2:
2 - (-1)
= 2 + 1 = 3 .
Checks OK.
Suppose a call center receives 4000 calls on average during their Friday evening shift. Next Friday several people have put in for time off, so the center will be staffed by 178 call center employees. When working continuously, the average call center employee can handle 22 calls per evening shift (with a standard deviation of 5 calls). Assuming the center receives its expected 4000 calls next Friday, what is the probability that the center will have enough employees to handle this call volume
Answers
Answer:
The probability that the center will have enough employees to handle this call volume is 0.2764
Step-by-step explanation:
Probability is defined as the ratio of favorable outcomes to the total number of outcomes.
Here the total mean expected number of outcomes=u = 4000
The favorable expected outcomes are = x= 22* 178= 3916
The standard deviation= σ= 5
The random variable X =178 has normal distribution with mean 4000/22 and standard deviation 5
So z= x-u/σ
Z= (3916-4000)/22/5
z= -0.764
From the table of areas under normal curve
P ( x= 3916)= P( -0.764 ≤ Z≤ 0)
P ( x= 3916)= 0.2764
The probability that the center will have enough employees to handle this call volume is 0.2764
The amount of television viewed by today's youth is of primary concern to Parents Against Watching Television (PAWT). 300 parents of elementary school-aged children were asked to estimate the number of hours per week that their child watched television. The mean and the standard deviation for their responses were 16 and 4, respectively. PAWT constructed a stem-and-leaf display for the data that showed that the distribution of times was a bell-shaped distribution. Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the distribution.
A) between 12 and 20 hours per week
B) between 8 and 24 hours per weelk
C) between4 and 28 hours per week
D) less than 12 and more than 20 hours per week
Answers
Answer:
B) between 8 and 24 hours per week
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 16, standard deviation of 4.
Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the distribution.
Within 2 standard deviations of the mean, so:
16 - 4*2 = 16 - 8 = 8 hours per week.
16 + 4*2 = 16 + 8 = 24 hours per week.
This means that the correcgt answer is given by option B.
large pies cost $5 and small pots cost $2. If $45 pies were sold for $120 how many small pies were sold
Answers
Answer:
I'm assuming that's supposed to just be 45, not $45
Step-by-step explanation:
35 small pies were sold
10 large pies = $50
35 small pies = $70
50 + 70 = 120
larry runs his heater when the temperature, t is no more than 70f
A- t<70
B- t>70
C t ≤ 70
D t ≥ 70
Answers
Answer:
its d i think bc i had that on my quizz
Step-by-step explanation:
ieadfjhnvlkadfsjnglkjvhndkjlfnvba;jdkfnvkl;jn help please
Answers
Answer:
A.
Step-by-step explanation:
It's the closest one to the answer, The answer I got is - 4;2
P varies inversely with the square of Q. When Q is 8, P 9. Find the value of P when Q is 3.
Answers
Answer:
P
[tex] \alpha [/tex]
1/q²
P=k/Q²
K=P×Q²
Where P=9
Q=8
K=?
K=9×8²
K=9×64
K=573
So where K= 573
Q=3
P=?
P=K/Q²
P=573/3²
P=573/9
P=63.67
Solve for x in the triangle below. Round your answer to the nearest tenth. Help please
Answers
Step-by-step explanation:
sin theta =p/h
sin 42=x/13
0.66×13=x
x=8.69
stay safe healthy and happy.A shoe store uses a 60% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of 51
$?
Answers
Answer:
33.33 percent
Step-by-step explanation:
$88
Step-by-step explanation:
55 increase 60%=
55x(1+60%)=55x(1+0.6)=88
Find the surface area of the cube.
5.5 yd
5.5 yd
5.5 yd
The surface area is
square yards.
HELPPPPPP
Answers
Answer:181.5
Step-by-step explanation:
5.5*5.5*6
multiply by six because there are six side
Need help like Right now
Answers
y-int = -5/2
If the band sells 100 series A ticket and 13000 series B tickets they will earn $865000. Write an equation to represent this situation.
Answers
Answer:
100x + 13000y = 865000
Step-by-step explanation:
x = Series A price
y = Series B price
Select all number combinations that COULD make a triangle
4 cm, 5 cm, 7 cm
5 cm, 6 cm, 11 cm
2 cm, 9 cm, 10 cm
3cm, 4 cm, 10 cm
Answers
Answer:
2 cm, 9 cm, 10 cm
Step-by-step explanation:
To know if a combination is a triangle all you have to do is see if the combinations add up to 180
(2)(9)(10)=180 therefore it is a triangle.
All the other angles do not add up to 180 so they can't be triangles!!
(4)(10)(3) =120
(5)(6)(11) =330
(4)(5)(7) =140
A line that includes the point (1,8) has a gradient of 2. What is its equation in
gradient-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit
ere to search
O
acer
Answers
Answer:
y=2x+6
Step-by-step explanation: y=mx+b
substitute in known values y=2x+b gradient is 2 (given)
substitute in coordinate values (1,8) 8=2(1)+b
solve for B 8=2+b
-2 -2
6=b
therefore the answer is y=2x+6
slope of a line that goes through points (-8,0) and (0,6)
Answers
Answer:
3/4
Step-by-step explanation:
slope = rise / run
slope = ∆y/∆x
slope = (y2 - y1) / (x2 - x1)
slope = (6 - 0) / ( 0 - -8)
slope = 6/8
slope = 3/4
Simplify the expression
6:3x4
Answers
Answer:
8
Step-by-step explanation:
6:3=2
six divided by three equals four (hence the ratio)
2*4=8
two times four equals eight.
plot 7/8 and 2 1/4 on a number line
Answers
The given fractions are plotted on number line as given below.
What is number line?A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically.
The given fractions are 7/8 and [tex]2\frac{1}{4}[/tex].
To plot fractions on the number line, follow the steps given below:
Step 1: Draw a number line of a suitable length.
Step 2: If the given fraction is a proper fraction, then mark points 0 and 1 on the number line. Or, if it is an improper fraction, then first convert it into a mixed fraction, and then mark two integers between those the given fraction lies.
Step 3: Draw an equal number of parts of the numbers marked in step 2 which will be equal to the denominator of the fraction.
Step 4: Starting from the left point, count forward the number of parts shown by the numerator.
Step 5: Mark the point on the line.
Hence, the given fractions are plotted on number line as given below.
Learn more about the number line here:
https://brainly.com/question/13425491.
#SPJ2
Write ONLY your numeric answer. You do not need the degree symbol.
B
E
310
D
с
Find mZDEC.
Answers
Answer:
118
Step-by-step explanation:
All angles inside a triangle add up to 180. D and C is the same. 31 x 2 = 62
180 - 62 = 118
what percent of 160 is 56?
Answers
Answer:
35%
Step-by-step explanation:
[tex] \frac{56}{160} = \frac{7}{20} = 0.35 = 35\%[/tex]
A class survey provides the data shown.
1, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 11
Which box plot represents the class?
Answers
Help pls.......asap i have 2 minuets
Answers
Answer:
It would be 3 1/2!
Step-by-step explanation:
Because it is X by Y (Usually) AKA bottom row to side row so, it is in the middle of 3 and 4 so it would be 3 1/2!
Answer:
( 3, 3.5) or 3 1/2
Step-by-step explanation:
The cordinate is ( 3, 3.5) but if it has a fraction form like your question had all you want to do is convert 3.5 into a fraction. 3.5 into a fraction is 3 1/2 the 0.5 becomes 1/2 and the 3 is a 3. So the answer is 3 1/2 or ( 3, 3.5).
Enter in the missing numbers to create equivalent ratios. HELPPPPPPPPPPPPPPPPPPPP
Answers
A customer goes to a bank and gets change for a $100 bill. The change is to be in $1, $5, and $10 bills. There were four times as many $5 bills as $10 bills. If there are 25 bills in all, how many are $5 bills?
Answers
Answer:
12
Step-by-step explanation:
x = number of $1 bills
y = number of $5 bills
z = number of $10 bills
We know that:
x + y + z = 25 (total amount of bills)
x + 5y + 10z = 100 (total amount of money)
y = 4z (Given)
Substitute the third equation into the first one.
x + 4z + z = 25
x = 25 - 5z
Put this into the second equation.
(25 - 5z) + 5 (4z) + 10z = 100
Simplify and solve.
25 - 5z + 20z + 10z = 100
25z + 25 = 100
25z = 75
z = 3
Substitute this into y = 4z
y = 4 * 3
y = 12
So, there are 12 $5 bills.
Answer:
12 $5 bills
Step-by-step explanation:
Represent the number of each kind of bill by x, y and z: there are x $1 bills, y $5 bills and z $10 bills.
According to the problem statement,
x + y + z = 25 and y = 4z (or z = y/4). Also, the values of the bills add up to $100:
($1)x + ($5)y + ($10)z = $100. Eliminate z by typing y/4 in its place:
x + y + (y/4) = 25 and
x + 5y + 10(y/4) = 100
Doing this has reduced the number of variables to two: x and y. Combining like terms in both equations, we get:
1x + (5/4)y = 25 and
1x + (30/4)y =100
Subtracting the 1st equation from the 2nd, we get:
(25/4)y = 75, or
(4/25)(25/4)y = (4/25)(75) , or y = 12.
If y = 12, z = 12/4, or 3.
Then x + 12 + 3 = 25 coins in all; therefore, x = 15 = 25, and x = 10
There are 10-$1 bills, 12-$5 bills and 3-$10 bills.
Use what you know about triangles to classify this triangle.
a triangle with three equal angles and three equal sides
Question 1 options:
Acute isosceles triangle
Obtuse scalene triangle
Equiangular triangle
Obtuse isosceles triangle
Answers
Answer: C equilateral triangle
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
i did the test :)
you buy rice at $0.71 a pound a batch requires 4 pounds or rice how much is one batch
Answers
Answer:
$2.84 for one batch
Step-by-step explanation:
$0.71 x 4 = $2.84
Answer:
$2.84 for one batch
Step-by-step explanation:
I know this how you ask? $0.71 x 4 = $2.84