A school flag consists of three rectangular sections that each have a different color.
In the diagram, a represents the width of the green section in inches
2
3
Write an expression to represent the
area of the flag as the sum of the areas
of each section.
Green
2x+21
+3
Purple
11
Orange
1) Write an expression to represent the area
of the flag as the product of the flag's
length and width
7
&
9
2+
?)
4
56
Answers
Answer:
[tex]Area =\frac{10x + 15}{2}[/tex] in both cases
Step-by-step explanation:
See attachment for complete question.
From the attachment, we have the following given parameters
Green Section: Dimension: x by 2
Orange Section: Dimension: 2 by [tex]1\frac{1}{2}[/tex]
Purple Section: Dimension: 3 by (x + [tex]1\frac{1}{2}[/tex])
Solving (a): Area of the flag as a sum of each section
We simply calculate the area of each section.
[tex]Area = Length * Width[/tex]
For the green section;
[tex]Area = x * 2[/tex]
[tex]Area = 2x[/tex]
For the orange section
[tex]Area = 2 * 1\frac{1}{2}[/tex]
[tex]Area = 3[/tex]
For the purple section
[tex]Area = 3 * (x + 1\frac{1}{2})[/tex]
[tex]Area = 3 * (x + \frac{3}{2})[/tex]
[tex]Area = 3x + \frac{9}{2}[/tex]
Total Area = Sum of the above areas
[tex]Area = 2x + 3 + 3x + \frac{9}{2}[/tex]
Collect Like Terms
[tex]Area = 2x + 3x+ 3 + \frac{9}{2}\\[/tex]
[tex]Area = 5x+ \frac{6+9}{2}[/tex]
[tex]Area = 5x+ \frac{15}{2}[/tex]
[tex]Area =\frac{10x + 15}{2}[/tex]
Solving (b): Area of the flag as a product
From the attachment,
[tex]Length = 2 + 3[/tex]
[tex]Length = 5[/tex]
[tex]Width = x + 1\frac{1}{2}[/tex]
[tex]Area = Length * Width[/tex]
[tex]Area = 5(x + 1\frac{1}{2})[/tex]
[tex]Area = 5(x + \frac{3}{2})[/tex]
[tex]Area = 5x + \frac{15}{2}[/tex]
Take LCM
[tex]Area = \frac{10x + 15}{2}[/tex]
Related Questions
You want to know the opinions of dog owners across America on the issue of establishing a law requiring individuals who own pit bulls to obtain insurance for their dogs. You obtain a list of all registered dog owners and mail a survey to a random sample of 5,000 owners. Of those, 2,389 responded and 22% say that they favor the law. Which of the following statements is true?
Because random sampling is used, we can feel confident the percentage of all dog owners who say they favor insurance for pit bulls is close to 22%.
Because less than half of those who were mailed the survey actually responded, we can feel fairly confident that the actual percentage of all dog owners who say they favor pit bull owners getting insurance for their dog is close to 22%.
We cannot trust these results because the survey was mailed. Only survey results from face-to-face interviews are considered valid.
The results of this survey may be affected by nonresponse bias.
Answers
Answer:
The results of this survey may be affected by nonrepsonse bias
Step-by-step explanation:
Just took this test
Answer:
The results of the survey may be affected by no response bias
Step-by-step explanation:
Which of the following is equivalent to (8-5) ÷ 2 to the third power?
A. 3/8
B. 19/8
C. 27/8
D. 1/125
Answers
Work:
8-5=3
3/2=1.5
1.5 to the 3rd is 3.375
Put 3.375 into a fraction you get 27/8
The required value is 27/8, which is determined when we compute the expression (8-5) ÷ 2 raised to the third power. Thus, the option (C) is correct.
To find the equivalent expression to (8-5) ÷ 2 raised to the third power, we first simplify the expression inside the parentheses:
(8-5) ÷ 2 = 3 ÷ 2.
Next, we raise this simplified expression to the third power:
(3 ÷ 2)³
To evaluate this, we cube both the numerator and denominator:
(3^3) ÷ (2³) = 27 ÷ 8.
Therefore, the expression (8-5) ÷ 2 to the third power is equivalent to 27/8.
Hence, the correct answer is option C: 27/8.
This means that 27/8 is the value we get when we compute the expression (8-5) ÷ 2 raised to the third power.
Learn more about expressions here :
brainly.com/question/21751419
#SPJ4
How do you write -2.16 as a fraction?
The choices are up there
Answers
Answer:
i got -2 4/25
Step-by-step explanation:
i think i might be wrong
Answer:
the answer is the 1st its a positive and if not then its the 2nd one
Step-by-step explanation:
in the grid below, the vertices of triangle ABC are A(-1,9), B(7,2), and C(-1,2). Which is closest to the area of triangle ABC? ASAP
Answers
Answer:
28
Step-by-step explanation:
I need help with number 20 please help!!!
Answers
These algebraic expressions are not equivalent. Explain
why they are not equivalent.
1
x2
2
+ 8.x-x2 - 6x
222 - 2x
Answers
Answer:
in the 1st row, one x^2 is positive while the other is negitive, making the total zero. also in the top row 8x+(-6x) = 2x, but in the 2nd row is says -2x, showing they are not the same. Also there is no -1/2 in the 2nd row like there is in the 1st row
Step-by-step explanation:
Preston uses 2 cups of nuts for every 3 cups of raisins to make trail mix. How many cups of
nuts will he need if he uses 12 cups of raisins?
9 Cups
8 Cups
10 Cups
5 Cups
Answers
Answer:
I'm pretty sure it's B. 8 cups
What is the image point of (-8, 7) after a translation right 5 units and up 5 units?
Answers
Answer:
(-3,12)
Step-by-step explanation:
What is 345 divied by 189 remander2
Answers
Answer:
37
4 remander
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 5 on the left side and the dividend 189 on the right side like this:
5 ⟌ 1 8 9
Step 2:
The divisor (5) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:
0
5 ⟌ 1 8 9
Step 3:
Multiply the divisor by the result in the previous step (5 x 0 = 0) and write that answer below the dividend.
0
5 ⟌ 1 8 9
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
0
5 ⟌ 1 8 9
- 0
1
Step 5:
Move down the 2nd digit of the dividend (8) like this:
0
5 ⟌ 1 8 9
- 0
1 8
Step 6:
The divisor (5) goes into the bottom number (18), 3 time(s). Therefore, put 3 on top:
0 3
5 ⟌ 1 8 9
- 0
1 8
Step 7:
Multiply the divisor by the result in the previous step (5 x 3 = 15) and write that answer at the bottom:
0 3
5 ⟌ 1 8 9
- 0
1 8
1 5
Step 8:
Subtract the result in the previous step from the number written above it. (18 - 15 = 3) and write the answer at the bottom.
0 3
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3
Step 9:
Move down the last digit of the dividend (9) like this:
0 3
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
Step 10:
The divisor (5) goes into the bottom number (39), 7 time(s). Therefore put 7 on top:
0 3 7
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
Step 11:
Multiply the divisor by the result in the previous step (5 x 7 = 35) and write the answer at the bottom:
0 3 7
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
3 5
Step 12:
Subtract the result in the previous step from the number written above it. (39 - 35 = 4) and write the answer at the bottom.
0 3 7
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
- 3 5
4
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 189 divided by 5 calculated using Long Division is:
37
4 Remainder
At a dinner the meal costs $22 and a sales tax of $1.87 was added to the bill ow much would the sales tax be on $66 meal What is the tax rate for meals in the city At a dinner the meal costs $22 and a sales tax of $1.87 was added to the bill At a dinner the meal costs $22 and a sales tax of $1.87 was added to the bill At a dinner the meal costs $22 and a sales tax of $1.87 was added to the bill how much would the sales tax be on $66 meal What is the tax rate for meals in the city
Answers
Answer:
$5.61
8.5%
Step-by-step explanation:
Cost of meal = $22
Sales tax = $1.87
How much would the sales tax be on $66 meal
= $66/$22 × $1.87
= 3 × $1.87
= $5.61
What is the tax rate for meals in the city
Tax rate = sales tax / cost of meal × 100
= $1.87/$22 × 100
= 0.085 × 100
= 8.5%
Tax rate = 8.5%
I bet no one can solve this
(+)^=∑24_(=0)^▒〖(¦) ^ ^(−) 〗
HAHAHAAAAAAAAAAAAA
Answers
Answer:
free points nice
Step-by-step explanation:
What's this? Cute. Thnx for the freee pointttssss <3
Dndbksndbdkwkdbdkdndnfbbdjff
Answers
Answer:
The third Number line = C
P = - 1 ; Q = 7
Step-by-step explanation:
P = - 1 ; as the tick marks are 1 unit apart ; hence the point P is located either side of - 2 and 0 ; therefore, the point Q is either :
(-2 + 1) = - 1 or (0 - 1) = - 1
Q = 7 ; Q is position on between 6 and 8 ; therefore, the number which falls in the middle of both numbers is 7.
Answer:
C. the third one
Step-by-step explanation:
have nice day
HELPPPP PLEASEEEE dfuij bfsv
Answers
Answer:
7
Step-by-step explanation:
16+5+16+5+16+5
Answer: 6.875 If it aks you to round it is 7 gallons.
Step-by-step explanation:
Which is the graph of f(x) = 3
?
})?
Answers
Answer:C
Step-by-step explanation:
Mount Mauna Kea is the tallest mountain when measured from its base. It rises from 5854m below sea level to 4349m above sea level. How tall is Mount Mauna Kea? Use numbers and words to explain your thinking. *
Answers
Answer:
10,203 meters tall
Step-by-step explanation:
Sea Level is given a value of 0 and is measured as the starting point. Anything below sea level would be a negative value. Therefore, to calculate the total height of Mount Mauna Kea we would need to add the height below sea level with the height above sea level as both positive values.
5854m + 4349m = 10,203m
Finally, we can see that Mount Mauna Kea is 10,203 meters tall.
THIS IS MY LAST QUESTION OF MY HOMEWORK PLEASE HELP WITH THESE 2 I'LL GIVE BRAINLIEST
Answers
Step-by-step explanation:
Diameter of base of cone = 30 cm .
Hence its radius = 30/2 cm = 15 cm
So , here the figure consists of a hemisphere and a cylinder . Now , here radius of the hemisphere is 15 cm . So , height of the Cylinder = ( 85 - 15 ) cm = 70 cm
→Volume of Cylinder :-
[tex]\large\boxed{\red{ Volume_{cylinder}=\pi r^2 h }}[/tex]
→ Volume = π r²h
→ Volume = 22/7 * ( 15 cm)² * 70 cm
→ Volume = 49,500 cm³ .
Volume of hemisphere :-
[tex]\large\boxed{\green{Volume_{hemisphere}=\dfrac{2}{3}\pi r^3}}[/tex]
→ Volume = ⅔ π r³
→ Volume = ⅔ * 22/7 * (15 cm)³
→ Volume = 10,607.14 cm³ ≈ 10 , 607 cm³ .
Hence Volume = ( 10 , 607 cm³ + 49,500 ) cm³ = 60,107 cm³
What is the first step in isolating the variable in this equation?
(2) p + 75 = 100
D
Subtract 75 from both sides.
B
Subtract 1/2 from both sides.
с
Divide both sides by 75.
D
Divide both sides by 1/2
Answers
Answer:
Subtract 75 from both sides.
Write down the solution to these simultaneous equations.
y = 2x + 1
y=0.5x – 2
Answers
Step-by-step explanation:
2x +1= 0.5x - 2
X = - 2
y = 0.5x (- 2) - 2
y = - 3
( x, y ) = ( -2 , -3 )
hope it helps!
I've been stuck on this for like 20 minutes ;-;
Answers
Answer:
3+2
Step-by-step explanation:
Answer:
3+2
Step-by-step explanation:
True or False. Exponential Functions will create a straight line on a graph
Answers
Answer:
False
Step-by-step explanation:linear functions will create a straight line on a graph, exponentials will not.
What is the ratio of 4 red apples and 3 green apples
Answers
Answer:
4:3 8:6 12:9 so on
Step-by-step explanation:
Answer:
4 to 3 or 3 to 4
Step-by-step explanation:
depending on how the question is worded if its red the green then 4 to 3 but if it green to red then its 3 to 4.
Pls help I’m timed on my test
what is the y- intercept of the linear function?
Y = -1/3 x + 1
Answers
Answer:
+1
Step-by-step explanation:
the last number is the y intercept
Answer:
The y-intercept is (0,1).
Step-by-step explanation:
y=mx+b
b is the y-intercept
What is 30% off $14.16
Answers
Answer:
Step-by-step explanation:
14.16*30%= 4.248 or 4.25 off
2-1/3x=1/6x+1
x=?
Merry Christmas
Answers
Answer:
x=2
Step-by-step explanation:
Thanks sweetheart <3
what is the area if b=16mm and h=12mm
Answers
Answer: 96
Step-by-step explanation: the formula for area of a triangle is 1/2 (b)(h)
so 1/2 (16)(12)
= 96
Can somebody please tell me the value of x
Answers
Answer:
x=-4
Step-by-step explanation:i think this is is i hope it helps
8. Find the x and y intercepts. 6x + 12y = 24
Answers
12y = -6x + 24
Divide by 12
Y = -1/2x + 2
Plug in 0 for x, y intercept = 2
Plug in 0 for y, x intercept = 4
X int = 4, y int = 2
Answer:
x - intercept: 4
y - intercept: 2
Step-by-step explanation:
The way you find the x-intereceppt is to pretend that the 12y isnt there. Therfore making the equation 6x=24. Then 24 divided by 6 equals 4.
The same thing but for the y-intercpt. Take away the 6x making the equation 12y=24. 24 divivded by 12 equals 2.
I need help please Will mark brainliest
Answers
Answer:
which ones do you need answered
Step-by-step explanation:
Maria tenia 6.500kg de patatas. Las envaso en sacos de 25kg y los puso a la venta a 30$ cada uno. Vendio la mitad de los sacos a ese precio y el resto los vendio todos a 2$ menos cada saco. ¿ Cuanto dinero obtuvo?
Answers
Responder:
$ 7540
Explicación paso a paso:
Dado que:
Kilogramos totales de papa = 6500
Número de kilogramos por paquete = 25
Precio por paquete = $ 30
La mitad se vendió a $ 30
El resto se vende a ($ 30 - $ 2)
Número total de paquetes de 25 kg:
6500 kg / 25 kg = 260 paquetes
Por lo tanto, paquete total = 260 paquetes
La mitad se vende a $ 30:
(260/2) * 30
130 * $ 30 = $ 3900
Resto vendido a $ 28:
(260 - 130) * $ 28
130 * $ 28 = $ 3640
Cantidad total realizada:
$ (3640 + 3900) = $ 7540
mr brown and his 2 children are going to london by train
an adult ticket costs £24.
an child ticket costs £12
mr brown has a family railcard
family railcard gives : 1/3 off adult tickets
60 percent off child ticket
work out the total cost of the tickets when mr brown uses his family railcard
Answers
Answer:
The total cost will be equal to 25.6£
Step-by-step explanation:
In order to solve this question we will have to figure out the cost of the adult ticket and the children tickets when the railcard is used. For this we do the following.....
Let "a" be the cost of the adult ticket after using the railcard
Let "b" be the cost of the children ticket after using the railcard.
a = 24£ - (24£ x [tex]\frac{1}{3}[/tex]) = 24£ - 8£ = 16£
b = 12£ - (12£ x [tex]\frac{6}{10}[/tex]) = 12£ - 7.2£ = 4.8£
Now the total cost will be equal to the sum of an adult ticket and two children tickets after the railcard is used, so .....
Total cost = a + 2b = 16£ + 2(4.8£)= 16£ + 9.6£ = 25.6£