The model shows the area (in square units) of each part of a rectangle. Use the model to find missing values that complete
the expression.
?
12
?
16
12+16=+D
Explain your reasoning.
Answers
Using the given model, we can complete the expression
12 + 16 = 4 × (4 + 3).
What are the area of a rectangle and a square?
The area of a rectangle having length "l" and breadth "b" is
Area of a Rectangle = l × b.
The area of a square with side "a",
Area of a square = side².
Let the given expression be 12 + 16 = x × (y + x)
For the given figure the area of the square which is displayed in pink portion can be expressed as
Area = y²
16 = y²
Taking square root on both sides, we get
y = 4.
Now for the red part, we get the length of the rectangle i.e., y = 4.
Area of a rectangle = length * breadth
12 = 4 * x
x = 3.
Hence, the expression would look like
12 + 16 = 4 × (4 + 3)
To learn more about the area of a rectangle and square, visit:
https://brainly.com/question/2607596
#SPJ13
Related Questions
THE VALUE OF JOHN'S
BASEBALL CARD
INCREASED BY $5. IT IS
NOW WORTH
$158.
(percent change)
Answers
The percent change of the worth is 3.26%.
Apples were for sale from a fruit vendor. He has 420 apples and sells 40% of them. How many apples did he have in total when he first started?
Solution: Assume a fruit vendor had x apples in stock.
According to the query,
(100 – 40%) of x = 420
60% of x = 420
60/100 x = 420
X = 700
The fruit vendor, therefore, had 700 apples in all.
Let , the worth is $x.
according to the question, $x + $5 =$158
∴ $x= $153
∴ percent change= (5/153)×100
=3.26%
The percent change of the worth is 3.26%.
to learn more about the percentage from the given link,
https://brainly.com/question/24877689
#SPJ13
find the volume of a sphere, if it has a radius of x-1
Answers
The volume of the sphere is [tex]\frac{4}{3}\pi (x-1)^3[/tex]. It can be obtained by using the formula of the volume of the sphere.
What is the formula of the volume of the sphere?
Volume of any object is the amount of 3 dimentional space occupied by that object. Volume of the sphere is given by the following expression:
[tex]V=\frac{4}{3}\pi r^3[/tex]
Here, V is the volume of the sphere and r is the radius of the sphere.
Substitute x-1 for r in the above formula.
[tex]V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}\pi (x-1)^3[/tex]
This is the simplest form.
In the above equation, you can apply the formula [tex](a-b)^3=a^3-3a^2b+3ab^2-b^3[/tex] but that will make the equation difficult and lenthy. Hence, there is no need to apply this formula.
Hence, the volume of the sphere is [tex]\frac{4}{3}\pi (x-1)^3[/tex].
Learn more about the volume of sphere from the following link:
https://brainly.com/question/22807400
#SPJ1
A machine costing $450,000 with a four-year life and an estimated $30,000 salvage value is installed by lux company on january 1. The factory estimates the machine will produce 1,050,000 units of product during its life. It actually produces the following units for the first 2 years: year 1, 260,000; year 2, 275,000. What is the depreciation amount for year 2 under the straight line method?.
Answers
Depreciation expense in year 2 = 2/4 x $225,000 = $112,500.
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc to our question-
Depreciation expense using the double declining method = Depreciation factor x cost of the assetDepreciation factor = 2 x (1/useful life) Depreciation expense in year 1 = 2/4 x $450,000 = $225,000Book value at the beginning of year 2 = $450,000 - $225,000 = $225,000Depreciation expense in year 2 = 2/4 x $225,000 = $112,500hence,Depreciation expense in year 2 = $112,500.
learn more about unitary method click here:
brainly.com/question/24587372
#SPJ4
in a survey of 2480 golfers, 15% said they were left-handed. the survey's margin of error was 3%. construct a confidence interval for the proportion of left-handed golfers.
Answers
The confidence interval for the proportion of left-handed golfers is of:
(0.12, 0.18).
How to obtain a confidence interval?A confidence interval is calculated as the sample mean plus/minus the margin of error, hence the bounds of the confidence interval are given as follows:
Lower bound: sample mean - margin of error.Upper bound: sample mean + margin of error.In the context of this problem, these parameters are given as follows:
Sample mean: 15% as a percentage, 0.15 as a proportion.Margin of error: 3% as a percentage, 0.03 as a proportion.Hence the lower bound of the confidence interval for the proportion of left-handed golfers is:
0.15 - 0.03 = 0.12.
The upper bound of the confidence interval for the proportion of left-handed golfers is:
0.15 + 0.03 = 0.18.
Then the interval is:
(0.12, 0.18).
More can be learned about confidence intervals at https://brainly.com/question/25890103
#SPJ1
Jessica bought 5 yards of fabric, plus 20% extra fabric. Derek bought 3 yards of fabric, plus 25% extra. Who bought more fabric? How much more? SHOW WORK PLEASE AND THANK U !!! <3
A. Jessica bought 1/4 yard more than derek.
B. Jessica bought 2 and 1/4 yards more than derek.
C. Derek bought 1/4 yards more than jessica.
D. Derek bought 2 and 1/4 more than jessica.
Answers
Jessica bought [tex]2\frac{1}{4}[/tex] yards of fabric more than Derek.
According to the question,
We have the following information:
Jessica bought 5 yards of fabric, plus 20% extra fabric. Derek bought 3 yards of fabric, plus 25% extra.
Now, we will find first the extra fabric they both bought:
For Jessica, we have:
20% of 5
20*5/100
1 yard
Now, the total fabric Jessica has:
5+1
6 yards
For Derek, we have:
25% of 3
25*3/100
3/4 yards
Now, the total fabric Derek has:
3 + 3/4
Taking 4 as the least common factor and adding the fractions:
15/4 yards
Now, we will subtract the fabric Derek has from the fabric Jessica has:
6 - 15/4
(24-15)/4
9/4
Converting this into mixed fraction:
[tex]2\frac{1}{4}[/tex] yards
Hence, the correct option is B.
To know more about Jessica bought here
https://brainly.com/question/2551588
#SPJ1
if the probability that a particular event occurs is 7/10, what are the odds favoring the event not occurring? express your answer in the form a:b.
Answers
For the probability of any particular event occurring is 7 /10 then odds of favoring the event which is not occurring in the form of a: b is equal to
7 : 3.
As given in the question,
Probability of any particular event occurring is equal to 7 /10
Probability of any particular event not occurring is = 1- (7/10)
= (10 -7) /10
= 3/10
Probability of the odds favoring the events which are not occurring
= (7 /10) / (3/10)
= ( 7 × 10) / (3 × 10)
= 7 /3
Odds favoring the events which are not occurring in the form a: b
= 7 : 3
Therefore, for the probability of any particular event occurring is 7 /10 then odds of favoring the event which is not occurring in the form of a: b is equal to 7 : 3.
Learn more about probability here
brainly.com/question/11234923
#SPJ4
Please help, for the second variable I couldnt read my own hand writting so im no sure if its f or r, someone please help soon
Answers
Answer:
k = [tex]\frac{fr^2}{90}[/tex]
Step-by-step explanation:
f = k [tex]\frac{90}{r^2}[/tex] ( multiply both sides by r² to clear the fraction )
fr² = 90k ( divide both sides by 90 )
[tex]\frac{fr^2}{90}[/tex] = k
A line that includes the point (5, 17) has a slope of 1. What is its equation in slope -intercept form?
Answers
Answer:
17 = 5 + b
b = 12
y = x + 12
The height of a triangle is 5 m longer than the base. If the area is 150 m2 , how long is the base?.
Answers
The base of the triangle is 15 meters.
Here, we are given that the height of a triangle is 5 m longer than the base.
Let the height of the triangle be h
Then, the base of the triangle will be = h - 5
Further, we are given that area of the triangle = 150 meter square
We know that area of a triangle = 1/2 × base × height
⇒ 150 = 1/2 × h × (h-5)
150 × 2 = h(h-5)
300 = [tex]h^{2}[/tex] - 5h
[tex]h^{2}[/tex] - 5h - 300 = 0
Now, we solve the above quadratic equation by splitting the middle term.
[tex]h^{2}[/tex] + 15h - 20h - 300 = 0
h( h + 15) - 20( h + 15) = 0
(h - 20) (h + 15) = 0
Thus, h = 20 or -15
But since height cannot be negative, h = 20
⇒ base = h - 5
= 20 - 5
= 15 meters
Thus, the base of the triangle is 15 meters.
Learn more about triangles here-
https://brainly.com/question/1058720
#SPJ4
sorry for the bad picture but help needed asap! points!!!
Answers
In a positive correlation, __________.
A.
the independent variable is always negative
B.
an increase in the independent variable has a corresponding increase in the dependent variable
C.
the dependent variable is always positive
D.
a decrease in the independent variable has a corresponding increase in the dependent variable.
Answers
Answer:
B
Step-by-step explanation:
In a positive correlation, an increase in the independent variable has a corresponding increase in the dependent variable.
What is correlation?
Correlation is a statistical measure that expresses the extent to which two variables are linearly related. We know a positive correlation—when the correlation coefficient is greater than 0 signifies that both variables move in the same direction. Also, A positive correlation exists when one variable decreases as the other variable decreases or one variable increases while the other increases.
I would appreciate it if you mark my answer as brainliest.
A camel can drink 15 gallons of water in 10 minutes. At this rate, how much water can the camel drink in 14 minutes?
Answers
Camel can drink 21 gallons of water in 14 minutes.
Given in question,
Gallons of water camel can drink in 10 minutes = 15
Gallons of water camel can drink in 1 minutes = 15/10
= 1.5
Gallons of water camel can drink in 14 minutes = 1.5 * 14
= 21
Hence, camel can drink 21 gallons of water in 14 minutes.
To learn more about gallons here:
https://brainly.com/question/9917229
#SPJ1
Which of the following tables represents the proportional relationship for 6 cups of grape juice for every three fourths cup of rainbow sherbet?
Rainbow Sherbet (cups) 0.75 1.5 2.5
Grape Juice (cups) 6 8 10
Grape Juice (cups) 0.75 1.5 2.5
Rainbow Sherbet (cups) 6 8 10
Grape Juice (cups) 6 8 10
Rainbow Sherbet (cups) 0.75 1 1.25
Rainbow Sherbet (cups) 6 8 10
Grape Juice (cups) 0.75 1 1.25
Answers
Answer:
Step-by-step explanation:
D
three letters are written to three different people and three envelopes are appropriately addressed. if each letter is placed into a randomly selected envelope so that each envelope contains exactly one letter, what is the probability that at least one person will receive the correct letter?
Answers
The probability that at least one person will receive the correct letter is 2/3.
Given data,
Let's say that the letter matching to the envelope is A, B, and C.
Each envelope has exactly one letter inside it once the letters are randomly placed inside.
Aa, Bb, Cc, Aa, Bc, Cb, Ab, Ba, Cc, Ab, Bc, Ca, Ac, Bb, Ca, Ac, Ba, Cb, are all possible combinations.
Thus, the total number of scenarios is 6 (n(S)).
A=(Aa, Bb, Cc), (Aa, Bc, Cb), (Ac, Bb, Ca), (Ab, Ba, Cc), n(A)=4
let A be an event that at least one letter is in its right envelope.
So,
The probability that at least one letter is in the right envelope P(A) = n(S) / n(A) = 4 / 6
= 2 / 3
To learn more about probability click here:
brainly.com/question/11234923
#SPJ4
Write the equation of a line that passes through the points (4,6) and (−8,3)
Answers
Answer:
y= 1/4x+5
Step-by-step explanation:
y=mx+c
to calculate gradient: change in y/change in x
-3/-12 = 0.25
y = 1/4x+c
4 * 1/4 = 1
6-1 = 5
c= 5
Totally:
y= 1/4x+5
Chin has $75.00 in a savings account that earns 5% interest,
compounded annually.
What will the balance be after 4 years?
Round to the nearest cent.
Answers
75÷100=0.75
0.75×5=3.75
3.75×4=15
75+15=90
Comparing Circles
Here are two circles. Their centers are A and F.
E
C
4 cm
A
B
H
F
8 cm
D
1. What is the same about the two circles? What is different?
G
Answers
This is an incomplete question and the complete question is in the image attached.
Both circles A and F have the same radius and diameter.
What is the center of the circle?
It is possible to define a circle as the locus of a point moving in a plane while maintaining a constant distance from a fixed point. The radius of a circle is the distance from any point on the circle to its center. The fixed point is referred to as the center of the circle.
Given:
We have,
Two circles are named A and F.
The radius of circle A is 4cm
So, the diameter of Circle A is 4 x2 = 8 cm
The Diameter of Circle F is 8 cm
Hence, Both circles A and F have the same radius and diameter.
Learn more about the center of the circle here:
https://brainly.com/question/24810873
#SPJ1
A school is arranging a field trip to the zoo. the school spends 683.47 dollars on passes for 38 students and 3 teachers. the school also spends 334.78 dollars on lunch for just the students. how much money was spent on a pass and lunch for each student?
Answers
Answer:
1018.25
----------------------------------------------------------------------
hope you do well on the quiz/test/assignment!
Part-Time Job So far this week, you have worked 10 hours at your part-time job.
This is 80% of the number of hours you work each week. How many hours do you
work each week?
Answers
Answer:
12.5 hours a week
Step-by-step explanation:
So far this week, you have worked 10 hours at your part-time job. This is 80% of the number of hours you work each week. How many hours do you work each week?
10 hours = 80%
80% = 0.8
10/0.8 = 12.5 hours a week
G is the centroid of triangle abc. what is the value of x? what is the length of segment dg? units what is the length of segment ag? units what is the length of segment ad? units
Answers
According to the Centroid Ratio Theorem , we have:
x = 37 , DG = 22,
AG = 44 and AD = 66
Centroid Ratio Theorem:
The Centroid ratio theorem states that the centroid of the triangle is at 2/3 of the distance from the vertex to the mid point of the side.
according to the centroid ratio theorem, we have,
AG = 2/3 (AD) ----------------------------- (1)
AG = x + 7
DG = x - 15
AD = x + 7 + x- 15 = 2x - 8
Putting the values in equation (1)
x + 7 = 2/3 (2x - 8)
⇒ 3(x + 7) = 2( 2x - 8)
⇒3x + 21 = 4x - 16
⇒ -x = -37
⇒ x = 37
Putting the value of x= 37
DG = 37 - 15 = 22
AG = 37 +7 = 44
AD= 2×37 - 8 = 66
Learn more about Centroid ratio of theorem :
https://brainly.com/question/20627009
#SPJ4
pls send the correct answer and show work!
Answers
x=140°
Explanation:
A 5-sided shape has a sum of 540°.
120+118+73+89+x=540
400+x=540
x=140°
Answer: x = 140°
Step-by-step explanation:
The sum of all interior angles in a pentagon is 540°.
Since you have every other angle except for one, you can subtract them from the total:
540°-120°-118°-89°-73° = 140°
Therefore the x angle is equal to 140°.
The side lengths of triangle ABC are written in terms of the variable p, where p≥ 3. p+4 4p-1 3p B
Which is correct regarding the angles of the triangle? mm mzB O m/B>m/A> mZC Omze>m/A> m/B Omzc>m/B> m/A
Answers
The correct statement that regarding the angles of triangle is option (C) m∠C > m∠A > m∠B
The value of p ≥ 3
Consider the value p = 3
The length of the side AB = 4p - 1
= 4×3 - 1
= 12 - 1
= 11 units
The length of side BC = 3p
= 3×3
= 9 units
The length of the side AC = p + 4
= 3 + 4
= 7 units
Then length of AB > length of BC > length of AC
The angles opposite to the side AB, BC and AC are m∠C , m∠A and m∠B
Then m∠C > m∠A > m∠B
Hence, the correct statement that regarding the angles of triangle is option (C) m∠C > m∠A > m∠B
Learn more about triangle here
brainly.com/question/17738167
#SPJ1
If you put aside $25 each month for 12 months in a CD, how much will you have saved?
Answers
Find the simplified product where x20: √5x (√8x²-2√x)
√10x
2x √40x-2x
O 2x10x-2√5x
O2x10x-2x√√5
DONE
Answers
The solution of the expression is 2√5x(√2-1).
From the question, we have
√5x ( √8x² - 2√x)
= √5x ( 2√2x - 2√x)
= √5x(√2-1)(2√x)
= 2√5x(√2-1).
The solution of the expression is 2√5x(√2-1).
Multiplication:
Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.
To learn more about multiplication visit: https://brainly.com/question/5992872
#SPJ1
Answer: ITS D
Step-by-step explanation:
2x sqrt 10x - 2x sqrt 5
Two angles are complementary to each other. one angle measures 18°, and the other angle measures (8x − 28)°. determine the value of x. 12.5 20 44.5 16
Answers
The value of x in complementary angle is 12.5⁰.
We need to know about complementary angles to solve this problem. The complementary angle is the angle that can make another angle has a value of 90⁰. It can be written as
A + B = 90⁰
where A and B are the complementary angles.
From the question above, the given parameters are
A = 18⁰
B = (8x - 28)⁰
By substituting the given parameters, we can calculate the x value
A + B = 90⁰
18⁰ + (8x - 28)⁰ = 90⁰
8x = 90 - 18 + 28
8x = 100
x = 12.5⁰
Find more on complementary angle at: https://brainly.com/question/20428380
#SPJ4
Answer: 12.5
Step-by-step explanation:
18+8x-28=90
18-18
90-18
8x-28=72
28+28
72+28
8x=100
8x/8
100/8
x=12.5
determine the smallest integer value of x in the solution of the following inequality
4x-9>=17
Answers
Step-by-step explanation:
4x - 9 ≥ 17
4x ≥ 17 + 9
4x ≥ 26
4x/4 ≥ 26/4
x ≥ 13/2
x ≥ 6.5
What is the solution to this system of linear equations 2x y 1 3x y 6 1 3?.
Answers
The solution to the linear equation is (-1, 3).
What is a linear equation ?
Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable.
2x + y = 1 …… (1)
3x - y = -6 …… (2)
To solve the linear equations in two variables
By adding both the equations
5x = -5
x = -1
Substitute the value of x in equation (1)
2 (-1) + y = 1
-2 + y = 1
y = 1 + 2 = 3
y = 3
Therefore, the solution to the linear equation is (-1, 3).
Learn mlore about linear equation here;
https://brainly.com/question/25858757
#SPJ4
Mickey simplified the expression below. He then checked his work by substituting 4 for x. He noticed his two values were not equal. What was Mickey’s error when simplifying?
Expression
Simplified Expression
2 x squared minus 4 x minus 9 minus x squared + 2 x + 3
x squared minus 6 x minus 6
Mickey should have added –4 and 2 when combining the coefficients of the x terms.
Mickey should have added 2 and 1 when combining the x squared terms.
Mickey should have added 9 and 3 when combining the constant terms.
Mickey should have added –4 and –1 when combining the x terms.
Answers
The correct option is, Mickey should have added –4 and 2 when combining the coefficients of the x terms.
Given,
The expression; 2x² - 4x - 9 - x² + 2x + 3
We have to simplify the expression;
To group and arrange an expression in such a way that it is easier to understand and solve is to simplify the expression.
We first group and find like terms and then add and cancel out
2x²-x²- 4x+2x - 9+ 3
=x²-2x-6
Mickey did not add the coefficients -4 and +2 for x terms in the expression, instead it looked like he added 4+2 as the coefficients
Therefore the correct option is
Mickey should have added –4 and 2 when combining the coefficients of the x terms.
Learn more about simplifying the expression here;
brainly.com/question/19579628
#SPJ1
solve for x
3(-7x-3)+4x= -(x-3)
it doesnt accept 3/4 as an answer
thanks in advance
Answers
Answer:
[tex]3( - 7x - 3) + 4x = - (x - 3)[/tex]
[tex] - 21x - 9 + 4x = - x + 3[/tex]
[tex] - 21x + 4x + x = 9 + 3[/tex]
[tex] - 16x = 12[/tex]
[tex] - 16 \div ( - 16x = 12)[/tex]
[tex]x = - \frac{3}{4} [/tex]
Step-by-step explanation:
it is negative 3/4 not positive 3/4
Lydia buy 5 pound of apple and 3 pound of banana for a total cot of $8. 50. Ari buy 3 pound of apple and 2 pound of banana for a total cot of $5. 25. Thi ytem of equation repreent the ituation, where x i the cot per pound of apple, and y i the cot per pound of banana
Answers
We need to multiply equation 2 with 3 and result is x = 1.25. The cost of one apple and one banana is $1.25 and $0.75 respectively.
Forming the equation using given variables x and y. Firstly writing the equation based on Lydia's items.
5x + 3y = 8.50 : Equation 1
Now writing the equation based on Ari's items.
3x + 2y = 5.25 : Equation 2
Now we need to equate one variable to find the other variable. So, multiplying equation 1 with 2 and equation 2 with 3.
10x + 6y = 17 : Equation 3
9x + 6y = 15.75 : Equation 4
Subtracting equation 4 from equation 3. We get the result -
x = 1.25
Keep the value of x in equation 1 to find the value of y
5×1.25 + 3y = 8.50
6.25 + 3y = 8.50
3y = 8.50 - 6.25
3y = 2.25
y = 2.25/3
y = 0.75
Thus, the cost of one apple is $1.25 and cost of one banana is $0.75.
Learn more about equation -
https://brainly.com/question/21405634
#SPJ4
The complete question is -
lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25. this system of equations represents the situation, where x is the cost per pound of apples, and y is the cost per pound of bananas. 5x 3y = 8.5 3x 2y = 5.25 if you multiply the first equation by 2, what number should you multiply the second equation by in order to eliminate the y terms when making a linear combination? complete the multiplication and add the equations. what is the result? what is the price per pound of apples? what is the price per pound of bananas?
