E 4) In the diagram below, the dimensions of the large rectangle are (3x-1) by (3x+7) units. The dimensions of the cut-out rectangle are x by (2x+5) units. Which choice expresses the area of the shaded region, in Square units?
Answer:
Option (D)
Step-by-step explanation:
Area of a rectangle = Length × width
Area of large rectangle = (3x - 1)(3x + 7) square units
= (9x² + 21x - 3x - 7)
= 9x² + 18x - 7
Area of small rectangle = (2x + 5)x
= (2x² + 5x) square units
Area of the shaded region = Area of large rectangle - Area of small rectangle
= (9x²+ 18x - 7) - (2x² + 5x)
= (9x² - 2x²) + (18x - 5x) - 7
= (7x² + 13x - 7) square units
Therefore, Option (D) will be the correct option.
The expression that represents the area of the shaded region is:[tex]7x\² + 13x - 7[/tex]
The dimension of the big rectangle is given as:
Length: 3x - 1Width: 3x + 7So, the area of the rectangle is:
[tex]Area = Length \times Width[/tex]
[tex]Area= (3x - 1) \times (3x + 7)[/tex]
Expand
[tex]Area = 9x\² + 21x - 3x - 7[/tex]
[tex]Area = 9x\² + 18x - 7[/tex]
The dimension of the small rectangle is given as:
Length: 2x + 5Width: xSo, the area of the rectangle is:
[tex]Area = Length \times Width[/tex]
[tex]Area= (2x + 5) \times x[/tex]
Expand
[tex]Area = 2x\² + 5[/tex]
The area of the shaded region is the difference between the area of the big and small rectangles.
So, we have:
[tex]Area = (9x\²+ 18x - 7) - (2x\² + 5x)[/tex]
Expand, and collect like terms
[tex]Area = 9x\²- 2x\² + 18x -5x- 7[/tex]
[tex]Area = 7x\² + 13x - 7[/tex]
Hence, the area of the shaded region is [tex]7x\² + 13x - 7[/tex]
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The ratio of girls to boys in the coed soccer league is 3:7. Choose True or
False for each statement.
The ratio of girls to total students in the league is 3:10.
O Truc
False
Next >
Previous
Answer:
True
Step-by-step explanation:
3:7 is girls to boys, and to find the total, do 7+3. After that, you'd get 10, and the ratio would be 3:10, so TRUE
when dividing 592 by 9.25, how many zeros will be placed in the dividend?
A: one
B: two
C: three
D: four
HELP AND YOU WILL GET BRAINLIEST!!!!!!!!
4 liters of oil cost $10.00. Find the cost per liter of oil.
Group of answer choices
$2.00
$3.00
$10.00
$2.50
$400
Answer: $2.50
$10.00 per 4 liters
10/4=2.5
I hope this is good enough:
Answer: because i just want points and 1 +2= 3
Step-by-step explanation: because if u add 2 with 1 u will get 3
I put it at 50 pts because it will take a while plz help me
Answer:
well i am not that smart sorry i really wish i could help but i know one of the things
Step-by-step explanation:
3. what causes wind
Gases move from high-pressure areas to low-pressure areas. And the bigger the difference between the pressures, the faster the air will move from the high to the low pressure. That rush of air is the wind we experience.
sorry it took so long for me to type it
hope you have a good day sir/ma'am!!!
what is the difference of the fractions? use the number line to help find the answers. 4/7 - 10/7
Answer:
This means that the fraction 3/4 is 3 out of 4 equal parts. So, count 3 parts from 0 and you will get 3/4. That's it! You've shown the fractions 1/4 and 3/4 on a number line!
Step-by-step explanation:
It is.
Answer:
This means that the fraction 3/4 is 3 out of 4 equal parts. So, count 3 parts from 0 and you will get 3/4. That's it! You've shown the fractions 1/4 and 3/4 on a number line!
Step-by-step explanation:
The math is just correct
Organic milk costs $2.52 per half gallon. At this rate, how can the price of 4 gallons of organic milk be determined?
by multiplying $2.52 by 4
by dividing $2.52 by 4
by finding the unit price and multiplying it by 4
by finding the unit price and dividing it by 4
Answer:
Step-by-step explanation:
by finding unit price and multiply
u wouldn't timea by 4
Find the Y intercept of the graph
Answer:
6
Step-by-step explanation:
The intercept would be 6 because that's the point on the Y line or the line going vertically.
Answer:
6
Step-by-step explanation:
Hello!
The y-intercept of the graph is when the graph touches the y-axis.
As you can see the graph intersects the y-axis at point (0,6), indicating the y-intercept of the graph to be 6.
y - intercept: 6The x-intercepts of the graph are when the graph intersects the x-axis. There are three roots for the graph: -1, -3 and 2.
In 2007, the average e-mail user sent 578 personal and business e-mails each week. The number of personal e-mails was 30 fewer than the number of business e-mails. How many personal e-mails were sent?
Answer:
548
Step-by-step explanation:
it would be 578 - 30 which equals 548
Describe the graph of x > 2 and x < 5
Answer:
y=(x−5)2
The graph of y is the standard parabolic, concave up curve of y=x2 shifted ("transformed") by 5 units right ("positive") on the x−axis,
The graph of y is shown below.
graph{(x-5)^2 [-10, 10, -5, 5]}
Answer:
I'm prettyy sure you already figured this out knowing you, so thanks;)
Step-by-step explanation:
What is the area of the triangle?
6
18
units
Answer:
54 units
Step-by-step explanation:
multiply 6 x 18 = 108 and divide by 2 to get 54. The equation for the area of a triangle is base x height divided by 2.
Answer:
A= 1/2 x 6 x 18 = 54 is that right..
i need help plzzzzzzzzz
Answer:
1 2 5 . 6 9
1 2 5 . 6 7 0
125.69 Would be Greater.
Step-by-step explanation:
First number to the right of the decimal is the tenths place 2nd number would be hundredths and you'd increase etc.
i need help with this ^
Answer:
I think it's 3
Step-by-step explanation:
If 2 is c than subtract it and it's 3?
Natalia solved the problem
74
.
4
÷
12
=
6
.
2
. Complete the model with partial products to check Natalia's work using multiplication.
A large rectangle is broken into 4 smaller rectangles The top line is labeled 6 and 0.2. The left side is labeled 10 and 2. The rectangles are divided between those labels. The top left rectangle is labeled A. The top right rectangle is labeled B. The bottom left rectangle is labeled C. The bottom right rectangle is labeled D.
Part A
Drag values to the boxes to complete the partial products. Not all choices will be used.
0.4 1.2 2 4 6 12 20 60
The product for A =
.
The product for B =
.
The product for C =
.
The product for D =
.
Part B
Choose the words to complete the statement.
Natalia's work is
correct
, because the total of the partial products is
Choose...
as the dividend.
Answer:
The product for A = 60
The product for B = 2
The product for C = 12
The product for D=0.4
Choose......correct, Choose.....the same
Step-by-step explanation:
I had the same question on a test and this is the correct answers. Hope this helped!
A+3/4=7/8. Please help solve equation using subtraction
The probability of two events A and B happening simultaneously is 0.17. The probability of only event A happening is 0.34. Find the probability of event B happening, if event A has already happened
Answer:
because is the probability is 0.17 and 0.34 is fair
You can use the multiplication rule of probability.
The probability of event B happening if event A has already happened is 0.5
What does general multiplication rule of probability says for 2 events A and B?[tex]P( A \: \rm and \: B) = P(A)P(B|A) = P(B)P(A|B)[/tex]
Since we've to find the probability of B given that A has already happened, we need [tex]P(B|A)[/tex]
Since the probability of both event A and event B happening simultaneously is 0.17, thus:
[tex]P(A \: \rm and \: B) = 0.17\\
[/tex]
Since the probability of only event A happening is 0.34, thus:
[tex]P(A) = 0.34[/tex]
Thus, from the multiplication rule, we have:
[tex]P(A \: \rm and \: B) = P(A)P(B|A)\\
0.17 = 0.34 \times P(B|A)\\\\
\dfrac{0.17}{0.34} = P(B|A)\\\\
P(B|A) = \dfrac{1}{2} = 0.5[/tex]
Thus, we have the probability of event B happening when A has already happened as 0.5
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20POINTS WILL MARK BRANLIEST PLSS
The layout of a city park is pictured in the figure above. Park managers would like to find the distance of segment DE, in order to build a walkway across the middle of the park. The park managers look up the distance of segments BC and AB in the city records. If the length of segment AB is determined to be 562 feet, what is the distance of mid-segment DE in feet?
Select one:
A. 220
B. 244
C. 276
D. 281
There are 3.9 milligrams of calcium in a ½ ounce of cooked chicken. How many milligrams are in 6 ounces?
Answer:
there are 46.80 milligrams in 6 ounces.
Step-by-step explanation:
A local park is in the shape of a square. A map of the park is made with the scale of 1 inch to 200 feet. If one side of the park on the map is one foot long, how long is the side of the park in real life?
Three times one number is equal to two times the larger one and their difference is 1. What are the numbers?
Answer:
Y=3
X=2
Step-by-step explanation:
A bin at a department store contains blue and red blankets. The ratio of blue blankets to red blankets is 13 to 7. What percent of the blankets in the bin are blue?
Step-by-step explanation:
13=blue blankets 7=red blankets
First, we need to know how many blankets there are in total.
13+7=20
Now, we don't need the seven anymore. Our ratio is blue blankets to total blankets.
13/20
Now, we need to know how many blue blankets there are in percentage.
13/20 = x/100
Next step: 13 times 100 is divided by 20
x= 13(100)÷20
x=1300÷20
x= 65
Therefore there are 65% of blue blankets.
Solve:
5y + 3y +1+1 = 2y + 6y +6 +2
Answer:
0=6
There are no solutions to this answer.
Step-by-step explanation:
Answer:
There is no solution.
Step-by-step explanation:
Help Lesson 11 & 12: A shop sells bagels for $5 per dozen. At this rate, how much would 6 bagels cost? Your answer is a dollar amount, so it must have a number to the left of the decimal and two numbers to the right of the decimal. (Example: $5.50 would be entered as 5.50) *
Find the missing length indicated.
?
12
4
9
28
50
12.
Answer:
28 probably sorry if wrong
Solve for x
2x+5 = 32
Answer:
x=13.5
Step-by-step explanation:
Perform the same operation on each side:
2x+5 = 32
2x = 27
x = 13.5
So, x is 13.5
There are ten toppings available to make an ice
cream sundae. How many ways can Max choose
two?
Answer:
There will be 56 possible combinations if he is allowed to choose the same topping twice.
There will be 47 if he is not allowed to choose the same topping twice.
Step-by-step explanation:
Number of ways max choose two are 45
What are combinations?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of both the selection is irrelevant. You can choose the components of combos in any order;
Permutations and combinations can be mixed up. The sequence in which the chosen components are chosen is crucial in permutations, too. For instance, the configurations ab and ba are distinct in permutations but equivalent in combinations (regarded as one arrangement);
Given;
Toppings available to make an ice cream sundae = 10
The number of ways can Max choose 2;
= 10C2
=10! / [(10-2)! X 2!]
=45
Therefore, Max can choose toppings is 45 by combination
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These two triangles are similar. What are a and b? Note: the two figures are not drawn to scale. Please help with this!!!
9514 1404 393
Answer:
a = 6b = 22.5Step-by-step explanation:
The ratio of smallest sides in the two triangles is ...
smaller / larger = 4/10
To find A and B, we write proportions involving corresponding side lengths.
__
Side A in the smaller triangle is ...
A/15 = 4/10
A = (4/10)(15) = 6
__
The ratio of larger to smaller is the inverse of the above ratio, so ...
B/9 = 10/4
B = (10/4)(9) = 22.5
In AGHI, the measure of
Answer:
yes
Step-by-step explanation:
A child’s wading pool has a diameter of 5 feet and a height of 2 feet. How much water would it take to fill the pool?
Answer:
12.5π or ≈39.27
Step-by-step explanation:
The formula for finding the volume is V=πr^2*d (where h is the height and r is the radius).
Plug in the values: V=π(2.5)^2*2 (Diameter=2*Radius)
Solve: V=6.25π*2
V=12.5π
V≈39.27
Iwefwegweg weg ewgwewegw egwe gwe gwe weg weg w
Answer:
gweew gshbx
Step-by-step explanation:
