The final statement is: The property of distribution is used in the given expression.
What is a distributive property in math?According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Given here: (x + y)(2 + z) = 2(x +y) + z(x + y)
Clearly 2 and z get distributed over (x+y)
We usually use the distributive property because the two terms inside the parentheses can’t be added because they’re not like terms
Thus this is the distributive property of multiplication.
Hence, Distributive property is the correct option.
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Tori's mathematics test had 75 problems: 10 arithmetic, 30 algebra, and 35 geometry problems. Although she answered 70% of the arithmetic, 40% of the algebra, and 60% of the geometry problems correctly, she did not pass the test because she got less than 60% of the problems right. How many more questions would she have needed to answer correctly to earn a 60% passing grade?
Answer:
She would need 5 more correct answers.
Step-by-step explanation:
This is from the AMC 8 1999 (the question). You can just search up the solution but okay.
70% of 10 is 7 so she got 7 arithmetic questions.
40% of 30 is 12 so she got 12 algebra questions.
60% of 35 is 21 so she got 21 geometry questions.
She got [tex]\frac{7+12+21}{10+30+35} =\frac{40}{75} =\frac{8}{15}[/tex] questions correct.
60% of 75 is 45 questions correct.
She got 40 questions correct.
She needed 5 more correct answers to get 60%.
Answer:
Step-by-step explanation:
problems solved in arithmetic=10×70 %=7
problems solved in algebra=30×40 %=12
problems solved in geometry=35×60 %=21
total problems solved=7+12+21=40
problems required for passing=75×60 %=45
so more questions required for passing=45-40=5
Mira is applying for a mortgage, and the bank wants to know how much she makes per year. She's paid $25 an hour and
works 30 hours a week. She needs to calculate how much she makes per year.
Select the correct answer from the drop-down menu.
Mira's annual income, assuming 52 weeks per year, is $
A- 9,000
B-22,500
C-39,000
Answer:
39,000
Step-by-step explanation:
$25x30=$750
$750x52=$39000
This sphere has a diameter of 5 m. What is the volume of the sphere?
Answer:
65.46 meters cubed
Step-by-step explanation:
Answer: the answer is V= 125/6πm^3
Step-by-step explanation: edge 2021
Please help me, extra points !!
Which of the following is a counter example for the given conjecture?
Conjecture: All student have school pride.
A. Jose goes to school every day.
B. Jessica studies and is attentive in class.
C. Joanna always wears her school colors and attend all school events she possibly can.
D. John does not wear his school colors and does not attend any school event
Please answer this
Answer:
Hey mate, here is your answer. Hope it helps you.
Step-by-step explanation:
D- John does not wear his school colors and does not attend any school event.
Description in mathematics, a conjecture is a conclusion or a proposition which is suspected to be true due to preliminary supporting evidence, but for which no proof or disproof has yet been found.
The counter-example for the given conjecture is "John does not wear his school colours and does not attend any school event". Therefore, option D is the correct answer.
The given conjecture is "All students have school pride."
We need to identify a counter-example for the given conjecture.
What is a conjecture?In mathematics, a conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof. Some conjectures, such as the Riemann hypothesis or Fermat's Last Theorem, have shaped much of mathematical history as new areas of mathematics are developed in order to prove them.
Now, "All students have school pride" is not true, because not all students have school pride.
The counter-example for this conjecture is "John does not wear his school colours and does not attend any school event"
Therefore, option D is the correct answer.
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2|x-7|=8 solve the equation
Answer:
2x - 7 = 8
2x = 8 + 7
2x = 15 (divide both sides by 2 to get x)
2x/2 = 15/2
x = 7.5
Step-by-step explanation:
Answer:
11, 3
Step-by-step explanation:
Substitute 11
2|11-7|=8
2|4|=8
8=8
Substitute 3
2|3-7|=8
2|-4|=8
2x4=8
8=8
Help please! I appreciate all of you people helping me:))
Answer:
∠ b = 12°
Step-by-step explanation:
Complementary angles sum to 90°, thus
a + b = 90 ← substitute a = 78
78 + b = 90 ( subtract 78 from both sides )
b = 12
That is ∠ b = 12°
14 weeks is expressed as a percentage of 50 weeks is?
Answer:
28%
Step-by-step explanation:
Fraction= 14 out of 50 weeks
To find percentage multiply the fraction by 100
14/50 * 100
= 1400/50
= 28 percent
Answer:
28%
Step-by-step explanation:
50 ws ................ 100%
14 ws ......................x%
x = 14*100/50 = 14*2 = 28%
Identify the graph of xy=-8 for theta=pi/4 and write and equation of the translated or rotated graph in general form.
Answer:THE ANSWER IS A
Step-by-step explanation:
CORRECT ON EDGE
Answer:
A
Step-by-step explanation:
edge
A digital scale measures weight to the nearest 0.2 pound. Which
measurement shows an appropriate level of precision for the scale?
A.130.4 pounds
B.124.75 pounds
C.125 pounds
D.120 pounds
Answer:
A
Step-by-step explanation:
This option contains a number that would appear on this scale.
Answer:130.4
Step-by-step explanation:
have good day
find the greatest common factor (3x^4y^2+12x^2y^3+6x^3y4)
Answer:
3x^2y^2
Step-by-step explanation:
the gcf is 3x^2y^2 since it is the common factor in all of the terms
I need a answer for this
Answer:
I think is A but I could be wrong.....But I don't think so because I did the math lol
Step-by-step explanation:
One polygon has a side of length 2 feet. A similar polygon has a corresponding side of length 4 feet. The ratio of the
perimeter of the smaller polygon to the larger is 2/1 or 1/2 or 1/4
A textbook store sold a combined total of 368 psychology and sociology textbooks in a week. The number of psychology textbooks sold was three times the
number of sociology textbooks sold. How many textbooks of each type were sold?
Number of psychology textbooks sold: 1
Number of sociology textbooks sold:
Step-by-step explanation:
Total books = 368.
Sociology books = 92.
Psychology books = 3 times sociology books
= 3 x 92 = 276
Total = 276 + 92 = 368
(25 pts) Between which consecutive years was the decrease in the price of gold per ounce the greatest?
1975-76
1973-74
1972-73
1974-75
Answer:
1975-76
Step-by-step explanation:
On this chart, the price of gold per ounce rises almost continuously, until it suddenly drops from the years 1975 to 76 by a margin of about 40 dollars. Therefore, this these are the years with the most decrease. Hope this helps!
Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.
When Maya biked for 3 hours and then ran for 1 hour and 30 minutes, what was her average speed?
Answer:
6mph
Step-by-step explanation:
Speed = distance/time
so you would do 18/3 and you would get 6
Monyne Phillips three coins. What is the probability that the first second and third Cornwall in the same way (either all heads or or tails) SHOW YOUR WORK
Answer:
1 in 8 chance.
Step-by-step explanation:
When a coin flips is has two outcomes: heads or tails, obviously.
Whenever you have a 50/50 probability, in this case a coin, every time you add another coin the amount of outcomes squares, or multiplies by the number of outcomes, and since we are using a coin, two. To reiterate, say we were using a die, a die is a cube, a six sided shape, so there are six outcomes. The chances of getting all sixes with one die is 1 in 6. Add another die and try to get all sixes, the chances become 1 in 36. We got this by multiplying our out comes by our outcomes
1 coin: 2 outcomes
2 coins: 4 outcomes
3 coins: 8 outcomes
Another thing:
Don't be fooled by questions being specific by saying "all heads" or "all tails"...
This is a wording trick, no matter the outcome, the chances will always be equal.
Good luck :)
15. The set of ordered pairs represents a function.
{(1,3), (2, 9), (k, 12), (5,9), (8,0)}
Which of these could be the value of k?
A. 0
B. 1
C. 5
D. 8
Answer:
A. 0
Step-by-step explanation:
In a function, all x-coordinates must be different.
The given function already shows 1, 2, 5, and 8 as x-coordinates, so you must choose a number other than those.
Answer: 0
The correct option will be Option A : the value of k will be 0.
What is a function?The function is a relation between two sets where one set is called the domain and another set is the codomain which is one one or many one relations.
If the x or input values are different then the relation will become a function.
So we can say if the x values are repeated and their corresponding y or output values are the same, then also the relation becomes a function.
If the x values are repeated and their corresponding y or output values are different, then the relation will not become a function.
Given the ordered pairs are {(1,3), (2, 9), (k, 12), (5,9), (8,0)
As we know the x value is repeated and the y value is different then the relation will not be a function.
So here in the given ordered pair, there is no any second 12. So k value should not be equal to 1,2,5,8 otherwise it will not be a function.
By checking all the options
0 is not present in x value of the given ordered pair.
Therefore the correct option will be Option A : the value of k will be 0.
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Can anyone help me out please
Answer:
5/23
Step-by-step explanation:
if you turn "3 8/5" into a mixed number you would get 23/5 then you would flip the numbers to get 5/23
Hope this helps!!! :)
solve for x
9^x/9^3=9^5
Answer:
9^x =9^5.
9^3
cross multiply
9^x=9^5×9^3
the nine cancel themselves .
x=5+3=8.
Answer:
x=8
Step-by-step explanation:
when dividing, you subtract the indicies (powers) and vice versa
rearrange the equation:
9^x=9^5*9^3
5+3= 8 (add because when multiplying with indicies you need to add the indicies)
check answer:
9^8/9^3=9^5
8-3=5 ✓
HELP WILL DO ANYTHING TO GET ANSWERS
Answer:
24. 40 minutes approximately
25. 8 days
Step-by-step explanation:
24. 40 minutes
Anna: 1 hour
Peter: 3 hours
Maria: 6 hours
A way to solve this kind of question is to think about how much they can perform given the same amount of time.
Anna: 1 hour x 6: 6 hours (In 6 hours Anna can clean 6 houses)
Peter: 3 hours x 2 6 hours (In 6 hours Peter can clean 2 houses)
Maria: 6 hours x 1: 6 hours (In 6 hours Peter can clean 1 house)
Working together they can clean the house 9 times faster.
It is 0.66 hours, or approximately 40 minutes
25. 8 days
It climbs 3 feet up but then it falls 2 feet down while sleeping during
the night. So the snail actually climbs 1 foot every day. It happens in the first 7 days. On the 8th day it goes out before sleep.
NEED HELP :(
Use the commutative or associative property to simplify the expression.
1/4(4y)
Answer:
y
Step-by-step explanation:
Associative Property a(bc)=(ab)c
1/4(4y)=(1/4(4))y
y
What is the surface area of a cylinder with base redius 2 and height 9
Answer:
[tex]138.23units^2[/tex]
Step-by-step explanation:
[tex]A=2\pi rh+2\pi r^2=2*\pi *2*9+2*\pi *2^2=138.23008\\138.23units^2[/tex]
Answer:
44pi
Step-by-step explanation:
Look at the attachment
Which type of graphs allows the reader to view the raw data values?
Select one or more:
A Box Plot
B Stem-and-leaf plot
C Dot plot
D Histogram
Answer:
The correct option is B
B) Stem and Leaf plot
Step-by-step explanation:
The purpose of stem and leaf plot is to show the data distribution while retaining its uniqueness. Stem and leaf plot shows the raw values by retaining the original data. It is usually recommended for batches between 15 and 150 data points.
In Stem and Leaf plot, the leaves are usually the last digit of a data, which stems are the remaining digits. For example if we have 2 number suppose 171 and 176, then in stem and leaf plot, as 17 is common, it can be the stem, while last digits of both numbers i.e 1 and 6 are leaves. It can be written as:
17 | 1 6
Tara's car travels about 25 miles on one gallon of gas. She has between 10 and 12 gallons of
gas in the tank. Identify the independent and dependent quantity in the situation. Find
reasonable domain and range values.
A. number of gallons of gas; distance traveled; 10 to 12 gallons; 100 to 120 miles
B. number of gallons of gas; distance traveled; 10 to 12 gallons; 250 to 300 miles
C. distance traveled; number of gallons of gas; 10 to 12 gallons; 250 to 300 miles
D. distance traveled; number of gallons of gas; 250 to 300 miles; 10 to 12 gallons
Answer:
B
Step-by-step explanation:
The independent value is the number of gallons of gas and the dependent value is the distance traveled, because the distance traveled is affected by how much gas is in the tank.
It is also 250 to 300, because 10 and 12 (numbers of how many gallons of gas are in the tank) multiplied by 25 (miles traveled on one can of gas) equals 250 and 300.
The distance traveled; the number of gallons of gas; 250 to 300 miles; 10 to 12 gallons. Then the correct option is D.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Tara's car travels about 25 miles on one gallon of gas. She has between 10 and 12 gallons of gas in the tank.
The distance traveled in 10 gallons of gas will be
⇒ 25 x 10
⇒ 250 miles
The distance traveled in 12 gallons of gas will be
⇒ 25 x 12
⇒ 300 miles
The distance traveled; the number of gallons of gas; 250 to 300 miles; 10 to 12 gallons. Then the correct option is D.
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The ratio of the lengths of corresponding parts in two similar solids is 4:1.
What is the ratio of their surface areas?
A. 16:1
B. 8:1
C. 4:1
D 641
Answer:
the ratio is 16:1
Step-by-step explanation:
surface area is measured in square units, so you should square both numbers in the linear ratio to get the ratio for the surface area.
[tex]4^{2} : 1^{2} -->16:1[/tex]
Answer:
A.16:1
Step-by-step explanation:
can u pls help me with this thanks
Hey!!!
<a and <b are complementary angles.
Those angles which are exactly 90 degree are called complementary angles.
hope it helps..
A student at a university makes money by buying and selling used cars. Charles bought a used car and later sold it for a 20% profit. If he sold it for $4560, how much did Charles pay for the car? Charles paid $? for the car.
Answer:
He paid $3648
Step-by-step explanation:
If you subtract 20% from 4560 which he sold it for you will get how much he paid for it.
4560 - 20% = $3648
May invested $500 at 8% p.a. for 2 years. How much simple interest did she earn?
Answer:
The simple interest she earns is $80
p=500
r=8
t=2
Now,
SI=p×t×r/100
SI=500×2×8/100
SI=80
Answer:
[tex]\fbox{\begin{minipage}{5.5em}80 dollars\end{minipage}}[/tex]
Step-by-step explanation:
Given:
May invested $500 at 8% p.a. for 2 years.
Solve for:
The simple interest she earned.
Step 1: Define the formula to calculated the simple interest
Interest = Principal x Rate x Year
Step 2: Perform the calculation
With Principal = 500$, Rate = 8% = 8/100 = 0.08, and Year = 2
Interest = 500 x 0.08 x 2 = 80$
Hope this helps!
:)
Please help me!!! :(
Answer:
280
Step-by-step explanation:
7*5*4*2=280
