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Related Questions
A trapezoid has a height of 10 feet, and base measurements of 20 feet and 8 feet. What is the area?
The answer must be in square feet
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Step-by-step explanation
To find the area of a trapezoid, you can use the formula: A = 1/2 * (b1 + b2) * h, where b1 is the length of the longer base, b2 is the length of the base, and h is the trapezoid's height.
In this case, the longer base (b1) is 20 feet, the shorter base (b2) is 8 feet, and the height (h) is . We obtain the following result as soon as we insert these values into the formula:
A = 1/2 * (20 + 8) * 10
A = 1/2 * 28 * 10
A = 140 square
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Two questions in one.
Question 1: Josiah ran ⅘ of a mile in 1/10 of an hour. How long will it take Josiah to run 3 ½ miles?
Question 2: You can mow ½ lawns in ⅗ of an hour. How many laws can you mow in 1 ¼ hours? Explain your answer and show your steps/thinking.
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I need help againnnn, the 2nd and 3rd pics are supposed to be together
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Answer:
umm what do you mean can like you explain
Answer:
Question 15: The length of the 3rd side is a-2 units. (I will answer Question 16 as a comment, by the way)
Step-by-step explanation:
Question 15:
Perimeter is the sum of all the side lengths of a shape, in this case, the shape is a triangle. Two side lengths and the perimeter is given, and you have to find the length of the 3rd side.
First, you'll need to add both of the given side lengths together. You do that by making an equation, where you can say that a question mark represents the unknown side.
2(a+3) + (3a-1)+ ? =6a+3
Then, you will need to use the distributive property for the first side. You have to distribute the 2 to the expression inside the parentheses. You need to multiply 2 by a, and by the 3. So, the expression becomes 2a+6.
Next, we'll work on the second side. We have to open up those parentheses that hold 3a-1 inside them. You can do that by distributing the plus sign in front of the parentheses to the expression inside the parentheses. You are just trying to either change or keep the sign in front of the expressions inside the parentheses.
We distribute the + to the 3a by multiplying, and it stays as 3a because the 3a is already a positive expression. If there is no minus sign in front of the 3a, that means that it is positive, and a positive sign multiplied by a positive number gives you a positive product. Now, we need to distribute the plus sign to the second term in the parentheses. Attention, the second term is a -1, not a positive 1. We can get that by changing 3a-1 to 3a+ -1. It is the same thing, it just looks a bit different. In words, the expression would be 3a plus a negative 1, instead of 3a minus 1. After that, we finally multiply the + by -1, which would be -1. That is because a positive sign multiplied by a negative sign will give you a negative product. Finally, after distributing the plus sign to the terms inside the parentheses, the expression becomes 3a-1. It stayed the same as it was, but it is still important to understand why it was not +1.
Now, it's time to re-write the whole expression.
2a+6+3a-1+?=6a+3
The next step is to combine the like terms on the left side of the equal sign. The terms that include the variable "a" come together, and the numbers (or constants) are combined. We combine by adding or subracting the terms. 2a+3a=5a. 6-1=5. This is why it was so important to open up those parentheses in the beginning and distribute, to not get the signs confused. If you skip that step, your answer could be incorrect. We leave the ? alone because there are no other terms that have a ? in them.
The new equation now looks like this: 5a+5+?=6a+3
Then, you need to simplify this equation by moving all of the terms that have an "a" in them to the same side of the equal sign, and the same thing to the constants (the numbers). We need to separate the terms from the question mark because that's what we're solving for. As we move the terms from the left side to the right, their sign changes to the opposite. So, 5a becomes -5a, and +5 becomes -5.
The new equation looks like this: ?=6a+3-5a-5
The next step is to again, combine the like terms, but on the right side of the equal sign. We leave the ? alone for now. 6a-5a=a. +3-5= -2.
The last step would be to just re-write the equation.
?=a-2 That is your answer. The length of the 3rd side is a-2 units.
Key take-aways of this problem:
- Perimeter is the sum of all of the lengths of all of the sides of a shape.
- It's important to look at the sign in front of the parentheses to know how to distribute it to the expresssion inside.
- To simplify an expression, you need to combine the like terms that are in it. The same variables go together, and the numbers do, too.
- When moving terms in an equation to the other side of the equal sign, the term's sign changes to the opposite.
Which is the independant variable and which is the dependant variable?
For every cupcake, c, that she sells, she raises money, m, for her club.
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what is the nearest whole percent of 31?
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A real estate agent expected 18 people to show up for an open house, but 25 attended. Calculate the percent error. Show your work.
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Answer:
72
Step-by-step explanation:
just look up 25 out of 18 percentage
1. Which is the better buy? Which one gives you a lower price per pound (lb.)?
3 1/3 lb. of turkey for $10.50
2 1/2 lb. of turkey for $6.25
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1. Use the distributive property to simplify -5(k + 4) =
2. Use the distributive property to simplify 3(a + 2b) =
3. What is the coefficient of the 3rd term of this expression?
4x + 5y + 7z + 6 + 2x
4. What is the coefficient of the 3rd term of this expression? (This is NOT the same question as the one before. Look closely.)
4x + 5y - 7z + 6 + 2x
5. Put these expressions in order from LEAST to GREATEST.
a = 5
b = -3
1.a + 2b
2.a2 + b
3a - b
Collect like terms to simply the expression
3r + (-3r) =
Blank 1:
Question 8 (1 point)
Collect like terms to simplify the expression
2j + (-9j) =
Blank 1:
Question 9 (1 point)
Collect like terms to simplify the expression
12 + 4b - 3 + 2c =
Blank 1:
Question 10 (1 point)
Collect like terms to simplify the expression
7y + 8 - 2y + 4 =
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2. 3a+6b
3. 7z+6x+5y+6
4. 6x+5y-7z+6
5. C,B,A
Blank 1:
Question 8. -7j
Blank 1:
Question 9. 4b+2c+9
Blank 1:
Question 10. 5y+12
George is putting trim around his rectangular deck, including the gate. He will need 46 feet of trim to do the entire deck. If the deck is 15 feet long, how wide is the deck?
A.
6 feet
B.
16 feet
C.
8 feet
D.
23 feet
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Answer:
C: 8 feet
Step-by-step explanation:
You have to find the parameter.
To do that you add all the side lengths together.
15+15=30 now you have to subtract 30 from 46 to find how much room is left.
46-30=16 now divide your answer by 2 to get the 2 remaining sides of the deck.
16/2=8 so the answer is 8!
Answer:
C
Step-by-step explanation:
Plz help me and explain too thanks
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alan is converting large and small numbers from standard notation to scientific notation. group the numbers according to their powers of 10
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Answer:
i am kind of confused by the question but i would say to but all the numbers below 1 in the 10^-4 section and the numbers above 1 in the 10^6.
i might be wrong i don't what the question is really.
Step-by-step explanation:
Alan is converting large and small numbers from standard notation to scientific notation
10⁶ = 4.03 x 10⁶, 2.93 x 10⁶, 5 x 10⁶
10⁻⁴ = 1.2x 10⁻⁴, 6 x 10⁻⁴, 5.9 x 10⁻⁴
What is the scientific notation of a number?The standard form for a number is a method by which we write number in a format like b×10ˣ. The value of b should be in between 0 to 10.
Given that,
The numbers,
0.00012, 4030000, 2930000, 0.0006, 5000000, 0.00059
Taking number, 0.00012
To convert it into scientific notation,
It should be in from of b×10ˣ,
So, now dividing and multiplying 10000 into the number 0.00012,
⇒ 0.00012 x (10000/10000)
⇒ (0.00012 x 10000)/10000
⇒ 1.2/10000
⇒ 1.2x 10⁻⁴
Similarly,
0.0006 can be written as 6 x 10⁻⁴
And 0.00059 can be written as 5.9 x 10⁻⁴
Now taking number, 4030000
To convert it into scientific notation,
It should be in from of b×10ˣ,
So, now dividing and multiplying 1000000 into the number 4030000,
⇒ 4030000 x (1000000/1000000)
⇒ (4030000 / 1000000) x 1000000
⇒ 4.03 x 1000000
⇒ 4.03 x 10⁶
Similarly,
2930000 can be written as 2.93 x 10⁶
And 5000000 can be written as 5 x 10⁶
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A game has purple and orange pieces. The ratio of purple game pieces to total pieces is 7:16.
Select all the statements about the game pieces that are correct.
A.
The ratio of purple pieces to orange pieces is 9:7.
B.
The ratio of total pieces to orange pieces is 16:9.
C.
The ratio of total pieces to purple pieces is 16:9.
D.
There must be 9 more orange pieces than purple pieces.
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Answer:
D
Step-by-step explanation:
it is true that there are 9 more orange pieces than orange pieces
please help me with these two questions, i will give brainliest
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Answer:
5. No, Triangle J K L is a Reflection, not a translation
6. Its 11 to the right, and 2 up
Answer:
5. No, it is a translation across the Y-Axis
6. The translation is 11 units right, and 2 units up.
Step-by-step explanation:
Hope this helps, Have a great day!!
PLEASE HELP I WILL GIVE YOU BRAINLIEST
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Answer:
Step-by-step explanation:
Mayebe. E
(repost) Help Please I will Give brainliest If Correct!!
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Answer:
There are about 7 x 10^6
Step-by-step explanation:
3.5*2029249= 7102347
rounds to 7000000= 7 x 10^6
Answer:
7.102347 times [tex]10^{6}[/tex].
Step-by-step explanation:
Alright. This is an inanely large amount of words, as a drill for scientific notation. The first step is, since the mystery book has 2,029,242 words, to turn this into a single digit multiplied by a power of ten - 2.029242 times [tex]10^{6}[/tex] (apologies for the weird font change in the middle). The science fiction book is 3.5 times larger - multiply 2.029242 on a calculator (unless you really like suffering for some reason; then do it by hand) - it comes out as 7.102347. Thus, the answer is 7.102347 times [tex]10^{6}[/tex].
juan says that the probability of picking two white marbles without replacing from a bag containing 3 solid white marbles and 5 striped marbles is equal to 1/64 is juan correct explain.
A-juan is correct the probability of drawing any marble is 1/8 and 1/8 ×1/8=1/64
B-juan is incorrect the probability of drawing a white marble is 3/8 and 3/8×3/8=9/64
C-juan is incorrect since one of the marbles is taken after the first draw 3/8×2/8=6/64=3/32
D-juan is incorrect the marble draw are not independent events.removing one marble affects probability for the next draw because the number of marbles in the sack decreases.
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A band expects to put 12 songs on their next CD. The band writes and records 25% more songs than they expect to put on the CD. During the editing process, 20% of the songs are removed. How many songs will there be on the final CD?
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Awarding brainliest again!!!!
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Answer:
0 = 4
Step-by-step explanation:
Add two to both sides of the equation:
credits to the other person above me!
Find the perimeter.
32 in.
24 in.
36 in.
28 in.
Find the area.
48 in. 2
64 in. 2
84 in. 2
36 in. 2
The patio at the back of the house is to be extended into the backyard in a semi-circle. What will be the area of the yard after the patio is done?
927 square ft.
456 square ft.
613 square ft.
314 square ft.
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A rectangular prism has a length of 8 inches and a width of 6 inches. The lateral area is 84 square inches. What is the height of the prism?
What is the height of the prism??
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Answer:
3
Step-by-step explanation:
A rectangular prism has a length of 8 inches and a width of 6 inches. The lateral area is 84 square inches. What is the height of the prism?
Find the perimeter of the base.
P = 2l + 2w Perimeter of a rectangle
P = 2(8) + 2(6) Substitute: l = 8 and w = 6
P = 28
Use the formula for lateral area.
L = Ph
84 = (28)h Substitute: L = 84 and P = 28
h = 3 Solve for h.
The height of the prism is 3 inches.
Identify the common difference in each arithmetic sequence. List 2 answers.
A. 21, 15, 9, 3, -3, …
B. 22, 26 1/2, 31, 35 1/2, 40, ...
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Answer:
B
Step-by-step explanation:
A teacher surveys a sample of students from Lake Middle School. He asks the students where they’d like to go for a field trip. He records these results:
80 choose the aquarium.
60 choose the science center.
30 choose the planetarium.
40 choose the farm.
The teacher wants to figure out the relative frequency of a student choosing the aquarium. He will then estimate how many students out of all 1000 at the school are likely to choose the aquarium.
4) Write and solve a proportion that the teacher can use to estimate how many students in the whole school would choose the aquarium. Show your work.
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Answer:
210 student's
Step-by-step explanation:
80 students chose the aquarium.
60 students chose the science center.
30 students chose the planetarium.
40 students chose the farm.
The students can't vote for more than one place, so you just add all the numbers together.
80 + 60 + 30 + 40 = 210 students
After 5 new students joined a class, the class had 35 students. Which equation can be used to find n, the number of students in the class before the 5 new students joined?
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Hope this helps
Answer:
35-5=n or n=35-5
Step-by-step explanation:
when you take the new students away, you get the number of students before. 35-5 equals the number of students before.
n=30
For each diagram, decide if y is an increase or a decrease of x. Then determine the percentage.
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In A: y is a 25% decrease of x
In B: y is a 25% increase of x
Step-by-sep explanation:
For A:
The diagram in A shows that x = 4, while y = 3.
Thus, this means that y decreased by 1, relative to x.
The percentage decease would be:
Therefore, y is a 25% decrease of x.
For B:
The diagram for B shows that x = 4, while y = 5.
Thus, this means that y increased by 1, relative to x.
The percentage increase would be:
Therefore, y is a 25% increase of x.
pls explain how to do this
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find the value of x. if x is 2 for example multiply that 6 times to find the numerator. 2 x 2 x 2 x 2 x 2 x2 = 64. multiply that with 3 which is 192. now to find the denominator you are going to multiply 2 three times. 2 x 2 x2 = 8. now divide the denominator with the numerator which equals 8.
is x^3 and since there is not another 3 in the denominator the 3 stays at the top
Mrs. Cerruti uses 7.7 gallons to drive 245 miles. How far could she drive with 10.3 gallons?
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Answer:
about 327.7 miles
Step-by-step explanation:
Proportions :
7.7 gallons / 245 miles = 10.3 gallons / x miles
x is about 327.7 miles
Please help me, thank you!
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Answer:
The answer would be 275 not 375. so ig C
Step-by-step explanation:
Just help me x.x
And pls explain how you got the answer .-.
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Step-by-step explanation:
Distribute -1 across
-t-8=-7.1
-8+7.1=t
t=-0.9
Answer:
-0.9
Step-by-step explanation:
1
Distribute
-1(t+8) = -7.1
-t - 8= -7.1
2
Add 8 to both sides of the equation
3
Simplify
4
Divide both sides of the equation by the same term
5
Simplify
Ms. Gartland bought x number of shirts for the new members of her chorus. The cost for x number of shirts, including $3.99 shipping, was $77.49. Each shirt cost $12.25. There was no sales tax on this purchase. Which equation could be used to find x?
A) 3.99(x + 12.25) = 77.49
B) 3.99x + 12.25 = 77.49
C) 12.25(x + 3.99) = 77.49
D) 12.25x + 3.99 = 77.49
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a 5-lb bag of oranges costs 3.80. there are 3 oranges to a pound. how much does a dozen oranges cost?
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Answer:
$3.04
Step-by-step explanation:
one orange costs about 25 cents (because 15 x .25333 equals 3.80, and round up to .25) so .25 x 12 is about $3.04