jalen drew a rectangle with a perimeter of 20 inches. the smaller side measured 3 inches. jalen said the longer side of the rectangle had to be 7 inches. is jalen correct?
Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(3 + 7)
20 = 2(10)
20 = 20 (True).
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What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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it's C. y = 1/2x + 2
Answer: what are you asking im lost
Step-by-step explanation:
(blank)+(7x+24)=180
7x + (blank)+ = 180
7x =
x =
Answer:
first blank: 72°
2nd blank: 96
next line: 84
last: 12
Step-by-step explanation:
The two marked angles are called same-side interior angles or consecutive angles.
They add up to 180°
Thats how you know how to set up the equation.
72° + 7x + 24 = 180
Add the plain numbers (the 72 and 24)
7x + 96 = 180
subtract 96 from both sides.
7x = 84
Divide both sides by 7.
x = 12
Construct an equation for the expression: 3 less than 2 times a number is 7. Show the solution to the equation and prove your solution to be true through your work.
Answer:
2x - 3 = 7
Step-by-step explanation:
Equation:
2x - 3 = 7
-------------------------
Solution:
Add 3 to both sides
2x = 10
Divide bothsides by 2
x = 5
-------------------------------
Proof
2x - 3 = 7
plug in x = 5
2(5) - 3 = 7
10 - 3 = 7
7 = 7
3
It takes 9 minutes to fill an empty aquarium to a depth of
5
meters.
What is the unit rate in minutes per meter?
Write your answer in simplestorm.
Answer:
The rate is 15 minutes per meter.
Step-by-step explanation: please give brainliest
The angles opposite the congruent sides of an isosceles triangle are congruent. Find the value of x in the triangle. Show all your work.
The figure shows a triangle with 2 congruent sides. The angle between the congruent sides measures x degrees and a different angle measures 70 degrees.
Answer:
40
Step-by-step explanation:
Angles opposite congruent sides in a triangle are congruent, so the other base angle is also 70 degrees.
This means that the interior angles are 70, 70, and x
Since the sum of the measures of the angles of a triangle is 180 degrees,
70+70+x=180
140+x=180
x=40
In a right-angled triangle the ratio of the two smaller angles is 3:2. Find the sizes of each of the angles.
Answer:
36° , 54° , 90°
Step-by-step explanation:
since the triangle is right then one angle is 90°
the ratio of the smaller angles = 3 : 2 = 3x : 2x ( x is a multiplier )
the sum of the 3 angles in the triangle is 180° , that is
3x + 2x + 90 = 180
5x + 90 = 180 ( subtract 90 from both sides )
5x = 90 ( divide both sides by 5 )
x = 18
Then
3x = 3 × 18 = 54°
2x = 2 × 18 = 36°
the 3 angles measure 36° , 54° , 90°
I NEED HELP!!!
Sid has a baseball cap collection. 55% of his caps have sports team symbols. If 33 of the caps have the team symbols, how many total caps does Sid have?
55% of x = 33
x = (33 * 100)/55
x = 60
The number of caps Sid will have is 60.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Sid has a baseball cap collection. 55% of his caps have sports team symbols. If 33 of the caps have the team symbols.
The total number of caps will be,
55% of x = 33
x = (33 x 100)/55
x = 60
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A population of crawfish in a section of the Louisiana bayou increased from 900,000 to 1.2 million between 2010 and 2011. If the population increases by the same percentage between 2011 and 2012, what will the population be in 2012
Answer: 1,599,960
Step-by-step explanation:
Since the population of crawfish in a section of the Louisiana bayou increased from 900,000 to 1.2 million between 2010 and 2011. The percentage increase in population will be:
= (1.2 million - 900000) / 900000 × 100
= 300000/900000 × 100
= 33.33%
Since the population increases by the same percentage between 2011 and 2012, then the population in 2012 will be:
= (100% + 33.33%) × 1.2 million
= 133.33% × 1.2 million
= 1.3333 × 1.2 million
= 1,599,960
The population in 2012 is 1,599,960
need help asap please
Ali's strategy is essentially the same as Mary's strategy. Both strategies estimate the HST as 15% of the price. However, Mary's strategy involves taking half of 10% of the price.
How to explain the strategies usedMary suggests estimating the HST in Ontario as finding 10% of the price, taking half of this answer and adding the two. Ali proposes finding 10% of the price, then 5% of the price and adding the two answers.
Their strategies differ in the way they approach finding the estimate, but both methods can be used to arrive at the same result.
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The HST in Ontario is 13%, which can be estimated using 15%. Mary tells Ali that it can be estimated as: find 10% of the price, take a half of this answer and add the two. Ali tells Mary that he thinks they should find 10% of the price, then 5% of the price and add the two answers. Compare their strategies.
At a video game store an animal game costs $45.00. If the sales tax is 5%, what is the total amount Blake will pay for the game?
Answer:
$47.25
Step-by-step explanation:
First we find how much the tax will be
45x0.05
2.25
and now we add to find the total
45+2.25
47.25
hopes this helps
2 3/4 of 500grams in step by step calculator
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
Does this table represent a function? Why or why not?
O
X
2
3
3
4
5
y
1
4
3
2
5
A. Yes, because there are different y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
C.
No, because the y-values are positive.
D. No, because one x-value corresponds to two different y-values.
SUBMIT
The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.
To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:
x | y
-------
O | 1
X | 4
2 | 3
3 | 2
3 | 5
4 |
5 |
From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.
This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).
Therefore, the given table does not represent a function.
The correct answer is D. No, because one x-value corresponds to two different y-values.
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Can I get help with this one too?
Using the concept of simple interest and compound interest, the first equation is \(S = 200(1.1)^t\), while the second is S = 250 + 20t
c. It will take over 7 years for the accounts to be equal.
What is the similarities and difference between simple interest and compound interest?The similarities between simple interest and compound interest is that both deals with saving of money over certain period of time with a fixed rate. While the difference between both is that in compound interest, the interest are compounded while in simple interest it is not. This implies that compound interest is an exponential function while simple interest is a linear function.
Simple interest = P(1 + rt)
P = principalr = ratet = timeCompound interest = P(1 + r/n)ⁿˣ
x = time in this casen = number of times compoundedTo solve this, we can write equations;
For the first scenario;
\(S = 200(1.1)^t\)
S = amount in accountt = timeFor the second scenario;
S = 250 + 20t
NB: The first case is a compound interest while the second is a simple interest.
c. To determine when the two accounts will be equal;
\(250 + 20t = 200(1.1)^t\)
Solving for t;
t = 7.01 ≈ 7 years
Therefore, it will take over 7 years for the accounts to be equal
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Find the common denominator 2/3 and 3/10
Answer:
Common denominator is 30Step-by-step explanation:
As,
\( \frac{2}{3} = \frac{2 \times 10}{3 \times 10} = \frac{20}{30} \)
and,
\( \frac{3}{10} = \frac{3 \times 3}{10 \times 3} = \frac{9}{30} \)
Your daughter found three pieces of ribbon in all different colors. Their lengths were 2 meters and 1 decimeter; 3 meters and 9 decimeters; and 6 meters and 4 decimeters. What was the length of the ribbons in all? Give a decimal answer in meters.
Answer:
convert the lengths to meters
10dm=1m
1dm=0.1m
hence, firs ribbon
2m+0.1m=2.1m
Second Ribbon
3m and 9dm
convert 9dm into Metres we get 0.9m
hence, 3m+0.9m=3.9m
Third Ribbon
6m+0.4m=6.4m
Solve 60 ÷ 5(1 + 1(1 + 1))
Answer:
Creo que es 36
Step-by-step explanation
:D
Answer:
36
Step-by-step explanation:
Given the diagram below, what is mD?
Answer:
A
Step-by-step explanation:
Answer:
A. 72
Step-by-step explanation:
There are two ways to solve this problem. First of all, this quadrilateral is a trapezoid because the top two angles are congruent and there is one pair of parallel lines. One way to solve the problem is to remember all trapezoids have a measure of 360. So, mD=360-(108+108+72); this equals 72. Additionally, in a trapezoid, the bottom two angles are always congruent; therefore, angle D must equal 72 degrees.
For #10 – 12, use the diagram to the right.
10)
m 2 =
11)
m2 3 =
419
2
3
4
12)
m2 4=
Answer:
What is the value of x in the product of powers below?
6 Superscript 9 times 6 Superscript x = 6 squared
Negative 11
negative 7
7
11
Step-by-step explanation:
(Stock Level). A.S. Ltd. produces a product 'RED' using two components X and Y. Each unit of 'RED' requires 0.4 kg. of X and 0.6 kg. of Y. Weekly production varies from 350 units to 450 units averaging 400 units. Delivery period for both the components is 1 to 3 weeks. The economic is 600 kgs. and for Y is 1,000 kgs. Calculate: (1) Re-order level of X; (ii) Maximum level of X; (iii) Maximum level of Y.
Answer:
Step-by-step explanation:
To calculate the reorder level of component X, we need to find out the average weekly consumption of X.
Average consumption of X per unit of 'RED' = 0.4 kg
Average weekly production of 'RED' = 400 units
Average weekly consumption of X for producing 400 units of 'RED' = 0.4 kg/unit x 400 units/week = 160 kg/week
Assuming lead time of 3 weeks for delivery of X, the reorder level of X would be:
Reorder level of X = Average weekly consumption of X x Lead time for delivery of X
Reorder level of X = 160 kg/week x 3 weeks = 480 kg
To calculate the maximum level of X, we need to take into account the economic order quantity and the maximum storage capacity.
Economic order quantity of X = Square root of [(2 x Annual consumption of X x Ordering cost per order) / Cost per unit of X]
Assuming 52 weeks in a year:
Annual consumption of X = Average weekly consumption of X x 52 weeks/year = 160 kg/week x 52 weeks/year = 8,320 kg/year
Ordering cost per order of X = 600
Cost per unit of X = 1
Economic order quantity of X = Square root of [(2 x 8,320 kg x 600) / 1] = 2,771.28 kg (approx.)
Maximum storage capacity of X = Economic order quantity of X + Safety stock - Average weekly consumption x Maximum lead time
Assuming a safety stock of 20% of the economic order quantity and a maximum lead time of 3 weeks:
Maximum storage capacity of X = 2,771.28 kg + (0.2 x 2,771.28 kg) - (160 kg/week x 3 weeks) = 2,815.82 kg (approx.)
To calculate the maximum level of Y, we follow the same approach as for X:
Annual consumption of Y = Average weekly consumption of Y x 52 weeks/year
Average consumption of Y per unit of 'RED' = 0.6 kg
Average weekly consumption of Y for producing 400 units of 'RED' = 0.6 kg/unit x 400 units/week = 240 kg/week
Annual consumption of Y = 240 kg/week x 52 weeks/year = 12,480 kg/year
Economic order quantity of Y = Square root of [(2 x Annual consumption of Y x Ordering cost per order) / Cost per unit of Y]
Ordering cost per order of Y = 1,000
Cost per unit of Y = 1.5
Economic order quantity of Y = Square root of [(2 x 12,480 kg x 1,000) / 1.5] = 915.65 kg (approx.)
Maximum storage capacity of Y = Economic order quantity of Y + Safety stock - Average weekly consumption x Maximum lead time
Assuming a safety stock of 20% of the economic order quantity and a maximum lead time of 3 weeks:
Maximum storage capacity of Y = 915.65 kg + (0.2 x 915.65 kg) - (240 kg/week x 3 weeks) = 732.52 kg (approx.)
What is 0.5x10^2??????????????????
Answer:
0.5 x 10^2 = 50
Step-by-step explanation:
Hope this helped
Brainliest?
During the day, Lola's dog is tied by rope to a tree in the center of her yard. The scale drawing below shows the area that the dog has to run. If the actual length of the rope is 12 1/2 feet, what is the scale used in the drawing?
Answer:
\(\frac{1}{96}\)
Step-by-step explanation:
First convert the feet two inches.
12.5 * 12 = 150 inches.
To find the scale used in the drawing, we divide the radius of the circle in the drawing, by the actual radius.
1\(\frac{9}{16}\\\) / 150 = 1/96
The scale of the drawing is 1/96 of the actual length
24 is less than m .
Please help
The linear equation for the 24 is less than m is 24 = m - 8 here m is the number.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that a linear equation in one variable:
24 is less than m:
Here m is the number:
24 = m - 8
Where m is the number.
Thus, the linear equation for the 24 is less than m is 24 = m - 8 where m is the number.
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If triangle ABC is reflected across the line y = x, are the pre-image and image congruent? Why, or why not?
OYes, distance and angle measure are preserved
OYes, angle measure is preserved and distance is not
O No, distance is preserved but angle measure is not
O No, neither distance nor angle measure are preserved
The correct answer is: O Yes, distance and angle measure are preserved.
When a triangle ABC is reflected across the line y = x, the pre-image and image are congruent.
This is because the line y = x is the perpendicular bisector of the segment joining each corresponding point of the pre-image and image.
Reflection across the line y = x is a type of transformation known as an isometry, which preserves both distance and angle measure.
Here's why:
Distance preservation:
When a point is reflected across the line y = x, the distance between the original point and its reflection remains the same.
This holds true for all corresponding points of the triangle.
Therefore, the distance between any two corresponding points in the pre-image and image triangle will be equal, resulting in distance preservation.
Angle preservation: When a line segment is reflected across the line y = x, the angle between the line segment and the line y = x is preserved. This means that the corresponding angles in the pre-image and image triangle will be congruent.
Since both distance and angle measure are preserved during reflection across the line y = x, the pre-image and image triangles are congruent.
It's important to note that congruence under reflection across a line holds only when the line of reflection is the same for both the pre-image and image.
If the line of reflection were different, the triangles would not be congruent.
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A store purchased a stylus for $22.00 and sold it to a customer for 20% more than the purchase price. The customer was charged a 6% tax when the stylus was sold. What was the customer’s total cost for the stylus?
Answer: $27.98
Step-by-step explanation:
22.00 × .2= 4.40
22 + 4.40 = 26.40
26.40 × .06 = 1.584
26.40 + 1.584 = 27.984
Round to the nearest hundred so the total paid by the customer would be 27.98
Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.
Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.
To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.
Let's start with the first equation:
2 + x = 5
Subtract 2 from both sides:
x = 3
Now let's move on to the second equation:
x + 1 = 4
Subtract 1 from both sides:
x = 3
Notice that we got the same value of x for both equations, so they are equivalent.
Next, let's look at the third equation:
9 + x = 6
Subtract 9 from both sides:
x = -3
Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.
Now, let's move on to the fourth equation:
x + (-4) = 7
Add 4 to both sides:
x = 11
This value of x is also different from the first two equations, so it is not equivalent to them.
Finally, let's look at the fifth equation:
-5 + x = -2
Add 5 to both sides:
x = 3
Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.
So, correct options are A, B and E.
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Complete question is:
Which of the following equations are equivalent? Select three options.
2 + x = 5
x + 1 = 4
9 + x = 6
x + (- 4) = 7
- 5 + x = - 2
Solve the attached sum (Trigonometry)
Answer: \(\sec \theta\)
Step-by-step explanation:
The period of \(\sec \theta\) is \(2\pi\), so \(\sec(4\pi -\theta)=\sec(-\theta)\)
Also, as \(\sec \theta\) is an even function, \(\sec(-\theta)=\boxed{\sec \theta}\)
Can please someone help with this two problems?
Answer:
A and C
Step-by-step explanation:
20) Since the triangles are similar, you can say that 98 corresponds to 42 and 77 corresponds to 3x+6, because of this you can write an equation ((98/77)(3x-6) =42) and then simplify to get x = 13.
21) Since ABC and DFE are similar, we can say that 2x+2 corresponds to x+3 and 24 corresponds to 16. You can write this as the equation (24/2x+2)(x+3) = 16 and simplify to get x=5.
I hope this helps :)
If there are 7 values in a data set, which value is the median?
Hello!
Answer:The value that is in the middle of the data set will be the mean. (So, there will be three numbers on the left of it, and three to the right).
Explanation:Let's say the numbers are 7, 9, 3, 6, 2, 1, 5 (Just as an example)
Because the amount of numbers in this data set is seven, it is an odd number. This means to find the median, we simply have to look at the number in the middle of the set. (In this case, that would be six).