B.match illustrate by using rectangular regions then solve
C.complete each number sentence by writing the missing fraction then use the shaded regions to show the number sentence
WARNING:
I'LL DELETE YOUR ANSWER IF ITS NOT CORRECT
also theres a picture above
(WITH STEP BY STEP EXPLANATION )
Answers
Fractions can be represented by shading parts of a rectangular region
The simplified expressions are:
\(\frac 28 + \frac 24 = \frac 34\).\(\frac 9{10} - \frac 35 =\frac{2}{5}\).\(\frac 46 -\frac{2}{6}=\frac{2}{6}\).\(-\frac{2}{12} + \frac 26 = \frac{2}{12}\).\(\frac{9}{18} - \frac{3}{9} = \frac{1}{6}\)Complete number sentenceTo start with, we simplify the fraction expressions as follows:
(1) \(\frac 28 + \frac 24 =\)
Take LCM
\(\frac 28 + \frac 24 = \frac{2 + 4}8\)
\(\frac 28 + \frac 24 = \frac{6}8\)
Simplify
\(\frac 28 + \frac 24 = \frac 34\)
(2) \(\frac 9{10} - \frac 35 =\)
Take LCM
\(\frac 9{10} - \frac 35 =\frac{9 - 6}{10}\)
\(\frac 9{10} - \frac 35 =\frac{4}{10}\)
Simplify
\(\frac 9{10} - \frac 35 =\frac{2}{5}\)
(3) \(\frac 46 - [\ ]=\frac{2}{6}\)
Replace the blank with x
\(\frac 46 -x=\frac{2}{6}\)
Collect like terms
\(x = \frac 46 -\frac{2}{6}\)
Take LCM
\(x = \frac{4 - 2}{6}\)
\(x = \frac{2}{6}\)
Simplify
\(x = \frac{1}{3}\)
(4) \(\frac{}{12} + \frac 26 = \frac{2}{12}\)
Replace the blank with x
\(\frac{x}{12} + \frac 26 = \frac{2}{12}\)
Collect like terms
\(\frac{x}{12} = \frac{2}{12} -\frac 26\)
Take LCM
\(\frac{x}{12} = \frac{2 - 4}{12}\)
\(\frac{x}{12} = -\frac{2}{12}\)
Multiply both sides by 12
\(x=-2\)
(5) \(\frac{9}{18} - \frac{3}{9}\)
Take LCM
\(\frac{9}{18} - \frac{3}{9} = \frac{9 - 6}{18}\)
\(\frac{9}{18} - \frac{3}{9} = \frac{3}{18}\)
Reduce fraction
\(\frac{9}{18} - \frac{3}{9} = \frac{1}{6}\)
Missing fractionsSo, the simplified expressions that contain the missing fractions are:
\(\frac 28 + \frac 24 = \frac 34\).\(\frac 9{10} - \frac 35 =\frac{2}{5}\).\(\frac 46 -\frac{2}{6}=\frac{2}{6}\).\(-\frac{2}{12} + \frac 26 = \frac{2}{12}\).\(\frac{9}{18} - \frac{3}{9} = \frac{1}{6}\)Shaded regionsSee attachment for the shaded regions
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Related Questions
Movie tickets cost $9.95 for adults and $6.75 for students. The Ryder family buys 2 adult tickets, 3 student tickets, and then popcorn and drinks for $26. What is the total amount that they spend?
Answers
Answer:
$66.15
Step-by-step explanation:
(9.95x2)+(6.75x3)+26=66.15
Answer:
The Answer is 66.15 By the person above
Recall that with base-ten blocks: 1 long 10 units, 1 flat 10 longs, and 1 block 10 flats. What is the fewest number of multibase blocks that can be used to represent the corresponding numeral in the given base?
a. 20 longs in base seven
b. 10 longs in base three
Answers
a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.
In base seven, we have the following conversions:
1 long = 1 unit
1 flat = 10 units
1 block = 10 flats
To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.
So, the fewest number of multibase blocks required would be 2 flats.
Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.
In base three, we have the following conversions:
1 long = 1 unit
1 flat = 3 units
1 block = 3 flats
To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.
So, the fewest number of multibase blocks required would be 3 flats and 1 unit.
Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
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A cylinder has a radius of 4 millimeters. Its volume is 200.96 cubic millimeters. What is the height of the cylinder?
Answers
Answer:
3.999 millimeters.
Step-by-step explanation:
To find the height of the cylinder, we can use the formula for the volume of a cylinder:
V = πr²h
Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).
200.96 = π(4²)h
200.96 = 16πh
To solve for h, we can divide both sides of the equation by 16π:
200.96 / (16π) = h
Using a calculator, we can calculate the approximate value of h:
h ≈ 200.96 / (16 × 3.14159)
h ≈ 3.999
Therefore, the height of the cylinder is approximately 3.999 millimeters.
Use a geometric tool to draw a circle. Draw and measure a radius and a diameter of the circle .
Answers
Answer:
Attached is an example of a circle with a radius of 5 and a diameter of 10.
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A triangle has two sides of length 7 and 9. What value could the length of the third side B? Check all that apply.
A.8
B.5
C.22
D.13
E.2
F.10
Answers
Answer:
8, 5, 13, 10
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
Answer:
A ; B ; D ; E ; F
Step-by-step explanation:
Triangle Inequality TheoremThe sum of the lengths of any two sides of a triangle is greater than the length of the third side.
7 + 9 = 16
16 > 8 ; 5 ; 13 ; 2 ; 10
Jerica has $4,000 in assets and $2,500 in liabilities. Calculate her net worth.
Answers
Jerica's net worth is $1500.
Net worth is asset minus the liabilities. Assets include savings account, retirement account and so on or items like car or property which you can sell for cash. Liabilities include money that you owe to another person or entity.
According to the question we have been Jessica's
Assets = $4000
Liabilities = $2500
The formula for the net worth is given as below :
Net worth = Asset - Liabilities
Putting the required values in above formula we get
Net worth = $4000 - $2500
Net worth = $1500
Hence Jerica's net worth is $1500.
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Which fraction is closest to 1/2
?
Answers
The fraction which is closest to 1/2 is, 3/8. So option B is correct
What is a fraction?Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.
Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.
Given that,
A fraction number 1/2
In decimal form = 0.5
Closest fraction number = ?
Most closest number is that number from which we subtract the given number and the magnitude of result we get is very less,
Lets take, A fraction 1/6
In decimal form it can written as, 0.167
Difference 1 = 0.5 - 0.167
= 0.333
Similarly, For numbers 3/8, 3/4, -1/2
Difference 2 = 0.5 - 0.375 = 0.125
Difference 3 = 0.5 - 0.75 = -0.25
Difference 4 = 0.5 - (-0.5) = 1.0
It can be seen that,
Magnitude of difference in case of 3/8 is very less
Hence, the closest number is 3/8
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BRAINLIEST ANSWER GIVEN Without actually solving the problem, choose the correct solution by deciding which choice satisfies the given conditions. The length of a rectangle is 2 feet longer than the width. The perimeter is 20 feet. Find the dimensions of the rectangle. Length= ?; width=?
Answers
Answer:
length = 6 feetwidth = 4 feetStep-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where l is the length
w is the width
The length of the rectangle is 2 feet longer than the width is written as
l = 2 + w
Perimeter = 20feet
So we have
20 = 2( 2 + w ) + 2w
20 = 4 + 2w + 2w
4w = 16
Divide both sides by 4
w = 4
Substitute w = 4 into l = 2 + w
That's
l = 2 + 4
l = 6
length = 6 feetwidth = 4 feetHope this helps you
Answer:
w = 4 and L = 10
Step-by-step explanation:
perimeter of a rectangle = 2(l+w)
p = 20
L = 2 + w
w = ?
20 = 2(2 + w + w)
20 = 2(2 + 2w)
20/2 = 2 + 2w
10 = 2 + 2w
10 - 2 = 2w
8 = 2w
w = 8/2 = 4
L = w + 2
L = 4 +2 = 6
w = 4 and L = 10
Student Enrollment
The enrollment at a local college has been decreasing linearly. In 2004, there where 975 students enrolled. By
2009, there were only 730 students enrolled. Determine the average rate of change of the school's enrollment
during this time period, and write a sentence explaining its meaning.
The average rate of change=
The enrollment at the college has been [Select an answer at a rate of
Select an answer v
Answers
The average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.
To determine the average rate of change of the school's enrollment during the given time period, we can use the formula:
Average rate of change = (Change in enrollment) / (Change in time)
The change in enrollment is calculated by subtracting the initial enrollment from the final enrollment, while the change in time is calculated by subtracting the initial year from the final year.
Given that in 2004 there were 975 students enrolled and in 2009 there were 730 students enrolled, we can calculate the change in enrollment:
Change in enrollment = 730 - 975 = -245 students
The change in time can be calculated as:
Change in time = 2009 - 2004 = 5 years
Now we can calculate the average rate of change:
Average rate of change = (-245 students) / (5 years) = -49 students per year
Therefore, the average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.
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An object is dropped off a building that is 144 feet tall. After how many seconds does the object hit the ground? (
Answers
Answer:
t = 3 seconds
Step-by-step explanation:
16t^2=144
Simplify by dividing both sides by 16:
t^2=9
t=3
Hope this helped!
If cos alpha = - 5/13 and tan a < 0 , then find sin 2 alpha
Answers
Recall the Pythagorean identity,
cos²(x) + sin²(x) = 1
and the definition of tangent,
tan(x) = sin(x) / cos(x)
Given that tan(α) < 0 and cos(α) = -5/13 < 0, it follows that sin(α) > 0. Then using the identity above, we find
sin(α) = √(1 - cos²(α)) = 12/13
Now recall the double angle identity for sine,
sin(2x) = 2 sin(x) cos(x)
Then
sin(2α) = 2 sin(α) cos(α) = 2 • 12/13 • (-5/13) = -360/169
A human hair was measured to be 8.0•10-4 inch thick. A cat hair is measured to be 4.0•10^-1. How much greater is the thickness of the cat hair than the human hair? Writ this in standard form.
Whoever gets this right I will mark brainiest and 60 points!!
Answers
Answer:
500 times
Step-by-step explanation:
Divide the thickness of a cat hair by the thickness of a human hair.
4.0 × 10^-1 / 8.0 × 10^-4 =
= 0.5 × 10^3
= 500
500 times
THE FIRST ANSWER GETS 5 STARS AND BRANLIEST
The floor plan for a modern home is modeled by the composite of the regular nonagon and triangle shown.
picture below
Answers
Answer:
D. 160°
Step-by-step explanation:
The triangle has 60° angles. We can calculate the angle thats inside the nonagon using the formula (n-2)180° and dividing by 9.
see image.
The angle inside the nonagon is 140°.
If you spin around point K, its 360°. And we know 2 pieces of that, 140° and 60° The angle we are being asked to find is last piece.
x + 140 ° + 60° = 360°
x + 200° = 360°
x = 160°
Find the quotient. (12x 2 - 13x - 4) ÷ (4x + 1)
Answers
Answer:
3x-4
Step-by-step explanation:
\((12x^2-13x-4)\div(4x+1)= \\\\(3x-4)(4x+1)\div (4x+1)= \\\\3x-4\)
Hope this helps!
HELP PLS!!!!!!!!!!!!!!!!!!!!!!!!!!! n
Answers
We can split 200 into 100 x 2.
100 is a perfect square and its square root is 10. The 2 will remain under the radical.
ANSWER: 10 sqrt(2)
(Option 2)
Hope this helps!
Section 1 - Question 3 Which expression would produce the greatest product? A 10 × 1/2 10 × 1/ 10 × 100 10 × 3 B C
Answers
Answer:
A: 10 x 1/2 = 15
Step-by-step explanation:
dfghj
QUICK PLS 30 POINTS
For a quadratic function, f, f(0) = 15.
Which equation could represent f?
A: f(x)=x²-8x+15
B: f(x)=(x-3)(x+5)
C: f(x)=x²+3x+5
D: f(x)=(x-15)²
Answers
f(0)=(0)^2-8(0)+15
= 15
Answer:
The answer is A
Step-by-step explanation:
You can use a graphing calculator (geogebra) It works
Given f(x)=2x+2 and g(x)=x+7, find (f⋅g)(x)
.
Answers
Answer:
2x+16
Step-by-step explanation:
2(x+7)+2 = (f⋅g)(x)
2x+14+2=
2x+16= (f⋅g)(x)
Where would -(-3) be on a number line?
Answers
prove that there is a 1-1 correspondence between the set of all positive integers and the set of all rational numbers
Answers
A one-to-one correspondence between the set of all positive integers and the set of all rational numbers exists.
By definition, any rational number can be expressed as a fraction a/b, where a and b are integers and b is nonzero. Since any positive integer can be expressed as the fraction a/1, each positive integer can be associated with a rational number a/1.
Thus, there is a one-to-one correspondence between the set of all positive integers and the set of all rational numbers. Furthermore, since any rational number a/b can be expressed as the product of a and b, it can also be associated with the product of two positive integers a and b.
Thus, there is also a one-to-one correspondence between the set of all rational numbers and the set of all positive integers.
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The points (-7,r) and (5,1) lie on a line with slope 1/2. Find the missing coordinate r.
Answers
Answer:
r = -23
Step-by-step explanation:
A slope of 1/2 means that for every y-value increase of 1, the x value will increase by 2.
Between -7 and 5, there was an increase of 12. So, the x value will increase by 24.
To find r, subtract 24 from 1
1 - 24
= -23
So, r = -23
What’s the correct answer for this question?
Answers
Answer:
21/100
Step-by-step explanation:
By looking at the table, we can find the box that has information on people who have dogs but do not walk. The number is 21. The total number of people is 100. To find probability, divide 21 by 100.
21/100
This fraction is in its simplest form and cannot be simplified any further.
The figure shown is composed of two cubes.
Which equation shows the surface area
ne figure?
SA = 6(5-5)+6(3-3)-2(3-3)
What is the surface area of
the figure shown?
cm²
3cm
5c
Answers
186 cm³ will be the surface area of the given figure.
To calculate the surface area of the given figure, we need to add the surface area of two cubes and reduce the area of the hidden part.
Thus,
Total surface area = Surface area of bigger cube + surface area of the smaller cube - 2* surface area of the hidden part.
So,
Total surface area = 6*(5*5)+6*(3*3)-2*(3*3)
Total surface area = 150+54-18
Total surface area = 186
Therefore, the surface area of the given figure will be 186 cm³.
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Mario needs a loan to buy a tractor for his farm. He qualified for a loan at 2 different banks.
.
First Bank of Trust
Loan Amount: $25,000
Annual Simple Interest
Rate: 6.5%
Loan Length: 4 years
What is
.
Enter your answer in the box.
.
Valor Bank
Loan Amount: $25,000
Annual Simple Interest
Rate: 4%
Loan Length: 6 years
total amount Mario will pay, including loan amount and interest, for the First Bank of Trust loan?
Answers
Answer:$31,500
Step-by-step explanation:
To calculate the total amount Mario will pay, including the loan amount and interest, for the loan from First Bank of Trust, we need to calculate the interest and add it to the loan amount.
The formula to calculate simple interest is:
Interest = (Loan Amount) x (Interest Rate) x (Loan Length)
Let's plug in the values given:
Loan Amount = $25,000
Interest Rate = 6.5% (or 0.065 as a decimal)
Loan Length = 4 years
Interest = $25,000 x 0.065 x 4 = $6,500
Now, let's calculate the total amount Mario will pay:
Total Amount = Loan Amount + Interest = $25,000 + $6,500 = $31,500
Therefore, the total amount Mario will pay, including the loan amount and interest, for the First Bank of Trust loan is $31,500.
I NEED HELP PLEASE Thank youuuu
Answers
Answer:
number 8 is b
Step-by-step explanation:
Distance Formula
\(d = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^2 }\)
(-2,-3) (2,1) Midpoint (2,1)
\(d = \sqrt{(2--2)^2 + (1--3)^2} \\\\d = \sqrt{(4)^2 + (4)^2\\} \\\\d = \sqrt{ 32}\\\\d = 5.7\\\)
Then find the slope.
1- - 3 / 2 - -2 = 4/4 = 1
(or use an online graphing calculator)
The Points are (6,5)
2. When people decide what makes a fair trade, like exchanging 2 chickens for 2 sheep, they are
(1 point)
Onegotiating
O exporting
O importing
O rating
Answers
Answer:
negotiating
Step-by-step explanation:
negotiating
Answer:
B. negotiating
Step-by-step explanation:
PLEASE HELP ME WORTH ALOT OF POINTS
Answers
Am not sure though
please help asap (answer only if you know the question)
Answers
The Equation of bisector 5x-7y+3=0 which is a straight line.
What is bisector?A straight line that divides an angle of a triangle in equal value.
What is perpendicular bisector?The line that lies perpendicular to a side and goes through the midpoint of its length.
Given, coordinate H (-7,2), K (3, -4) and L (5,4)
we plot a triangle HKL with this point.
midpoint of side HK is found by (-7+3)/2 and (2-4)/2
hence, midpoint of HK is (-2,-1) is denoted by P
the perpendicular bisector of side HK means a straight line from the midpoint of HK to the point L(5,4). The bisector line PL divide the angle HLK.
so, the equation of bisector is y-y₁ = (y₂-y₁)/(x₂-x₁)[x-x₁] because the bisector line passes through the point P(-2,-1) and L(5,4)
y-(-1) = [4-(-1)]/[5-(-2)]× [x-(-2)]
y+1 = 5/7×(x+2)
7y+7= 5x+10
5x-7y+3=0
hence, the equation of bisector is 5x-7y+3=0
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M has 3 hours and 48 min of songs on his I pod.
P has 8 hours and 49 min of songs on his phone.
How much more time does P have than M?
Answers
can someone please help? i need to find the slope of a line. it’s for a test!
Answers
Answer:
Step-by-step explanation: To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
Answer:
The slope is 2/3
Step-by-step explanation:
The equation that the graph gives us is y = 2/3x + 3.
With this equation, we know that the slope is 2/3.
Bonus:
With this equation, we also know that the y-intercept is 3.