Which property is used in the following expression ? 8(2 + 7) = 16 + 56
Answers
Answer:
Distributive property
Step-by-step explanation:
Related Questions
How do I solve this equation and check the solutions?
Answers
Answer:
10+√3=4x²
Step-by-step explanation:
Answer:
{12}
Step-by-step explanation:
isolate the radical expression
[tex]\sqrt{3x} = x-6[/tex]
raise both sides to the index of the radical in this case 2
[tex](\sqrt{3x} )^{2} = (x-6)^2[/tex]
[tex]3x = (x-6)^2[/tex]
foil the right hand side or multiply (x-6)(x-6)
[tex]3x = x^{2} -6x-6x+36[/tex]
subtract 3x from both sides and combine like terms
[tex]0=x^{2} -15x+36[/tex]
factor
[tex]0=(x-12)(x-3)[/tex]
set each factor equal to zero and solve for x
x - 12 = 0 and x - 3 = 0
x = 12 and x = 3
Check each answer by plugging them individually into the original equation if the come out true they are a solution.
Check :
[tex]\sqrt{3(12)}+10=12+4\\\sqrt{36}+10 = 8\\6+10 = 16\\16=16[/tex] [tex]\sqrt{3(3)}+10=3+4\\\sqrt{9}+10=7\\3+10=7\\13\neq 7[/tex]
So the only solution is 12.
A bowl contains blueberries and strawberries. There are a total of 20 berries in the bowl. The ratio of blueberries to strawberries is 4 : 1. How many of each berry are in the bowl?
Answers
Answer:
4 strawberries
16 blueberries
Step-by-step explanation:
Given that:
Berries in bowl = strawberries and blueberries
Total number of berries = 20
Ratio of blueberries to strawberries = 4 : 1
Number of each berries in bowl:
Total ratio = (4 +1) = 5
Number of Blueberries :
(Ratio of blueberries / total ratio) * number of berries
(4/5) * 20
= 16 blueberries
Number of strawberries :
(Ratio of strawberries / total ratio) * number of berries
(1/5) * 20
= 4 strawberries
What is the slope of a line parallel to the line that passes through (4, -3) and (3, -1)?
Answers
Answer:
-2
Step-by-step explanation:
find rise over run with y1-y2/x1-x2 = -2/1 = -2
The slope m of the line passing through the points A ( 4 , -3 ) and B ( 3 , -1 ) is m = -2
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the first point be A ( x₁ , y₁ ) = A ( 4 , -3 )
Let the second point be B ( x₂ , y₂ ) = B ( 3 , -1 )
Now , the equation for the slope of the line is given by ,
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( -1 - ( -3 ) ) / ( 3 - 4 )
Slope m = 2 / -1
Slope m = -2
Hence , The slope m of the line passing through the points A ( 4 , -3 ) and B ( 3 , -1 ) is m = -2
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HEELLPPP I WILL GIVE BRAINLIEST AND POINTS THANK YOU!!!This year, 450,000 animal lovers are expected to visit a zoo. By the end of February, only 0.064 of the expected number of visitors actually toured the zoo. How many visitors would have to come to the zoo in the months of March through December to fulfill the prediction for this year?
The correct answer is 421,200. How do I reach that answer?
Answers
450,000-28800= 421,200.
sorry if this is your second time answering or seeing this but my ads arent loading.
forty five children attend a preschool the number of two year olds is one half the number of three year olds the number of four year olds is the same as the number of three year olds
how many two year olds attend
how many three year olds attend
how many four year olds attend
Answers
Answer:
a=9
b=18
c=18
18+18+9=45 total children
What is the ratio of green stars to red stars? 4 green stars and 6 red stars
Answers
Answer:
2:3
Step-by-step explanation:
we have 4 green stars
and six red stars
as a ratio, it's
4:6
simplified
2:3
A movie theatre marks up the price of popcorn 12 3/4 times the original cost. express 12 3/4 as a percent and decimal.
Answers
Answer:
Answer: F. 1,275% and 12.75.
Step-by-step explanation:
Ratios
Ratios are usually expressed as decimals, fractions, colon notation, and percentages.
For example, if the ratio of two quantities is 2, it can be expressed as:
2, 2/1, 2:1, 200%
To obtain the percentage expression, just multiply by 100%.
The price of the popcorn sold at a movie theatre was marked up as 12 3/4 times the original cost.
The mixed fraction can be converted to a decimal by just adding their parts as follows:
12 + 3/4 = 12.75
Now to express it as a percentage, multiply by 100%:
12.75 * 100% = 1,275%
Answer: F. 1,275% and 12.75.
WILL GIVE BRAINLY IST TO WHOEVER answers correctly and QUICK
Lucinda is writing a coordinate proof to show that a diagonal of a parallelogram partitions the parallelogram into two equal areas.
Enter your answers in the boxes to complete Lucinda's proof.
Since KLMN is a parallelogram and a parallelogram's opposite sides are parallel and congruent, the coordinates for M are (4x,__).
In △KMN, the length of the base is ___ and the height is ___. So an expression for the area of △KMN is ___.
In △KLM, the length of the base is 3x and the height is 2y. So an expression for the area of △KLM is ___.
Comparing the area of the two triangles that are formed by a diagonal of the parallelogram shows that a diagonal of a parallelogram partitions the parallelogram into two equal areas.
Answers
Answer: Do you have a picture or a diagram
Step-by-step explanation:
Not the answer but I need help .. it’s the same question but I’ve added the diagram if anyone can help?
x + 2x + 12y + 4 = ?
Answers
Answer:
3x +12y+4
Step-by-step explanation:
Pls help me....3x+4+2x+6yb+9×+1
NEED HELP RIGHT NOW I'M AT SCHOOL PLSSSSS
Answers
Answer:6yb+14x+1 is it Simplify ok
Step-by-step explanation:
ANOTHER MATH QUESTION, PLEASE HELP !
( WILL MARK BRAINLIEST !!!! )
Answers
Look I saw you post like a million of these. Functions are time consuming, especially rate of change, I suggest you ask a tutor!
In the diagram below, which two rays are opposite one another?
A. XM and XN
B. PX and XN
C. XQ and MN
D. MN and PQ
answer as fast as you can
Answers
Answer:
A. XM and XN
Step-by-step explanation:
Because they are opposite of each other on the same line.
XM and XN are opposite to one another.
What is a ray?Rays are lines that have only one end point.
How to tackle the problem?Observe the below-given figure to understand the answers.
The redline PQ has two rays XP and XQ which are opposite to one another, they have opposite directions and are parallelly opposite to each other.
Similarly, the black line MN has two rays XM and XN opposite to one another. they have opposite directions and are parallelly opposite to each other.
So, from the given options only one option is true which is
A. XM and XN are opposite one another.
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WILL MARK BRAINIEST!!!
(AMC8, 2008) In square ABCE, __ = 2FE and CD = 2DE. What is the ratio of the area △BDF to the area of square ABCE?
Answers
Answer:
5/18
Step-by-step explanation:
(36-12-12-2)/36=5/18
The measurement system used by most scientists and engineers known as the international System of
Units is represented by the two letters.
Answers
Find −523−16. Write your answer as a mixed number in simplest form.
Answers
Answer:
(-523) - 16 is -539
Step-by-step explanation:
mathmathmathmathmsthmatj
The equation w = 6m+4, relates how a dog's weight varies with age, where m represents its age in months, and the w represents its weight in pounds. How many months before the dog weighed 58 pounds?
Answers
Answer:
9 monthsStep-by-step explanation:
Given the relationship of the dogs weight ang its age modeled by the equation;
w = 6m+4
m represents its age in months, and;
w represents its weight in pounds
Given
w = 58pounds
Required
number of months m before the dog weigh 58pounds;
Substitute w = 58 into the function and get m as shown;
w = 6m + 4
58 = 6m + 4
subtract 4 from both sides
58-4 = 6m+4-4
54 = 6m
divide both sides by 6
54/6 = 6m/6
9 = m
m = 9
Hence it will take 9months before the dog will weigh 58 pounds
HELP!!!plzzzzzzzzzzz!!!!!!!!!!!!!!
Answers
Answer:
m∠2 = 47°
Step-by-step explanation:
m∠1 + m∠2 = 90°
3x + 13 + 5x - 3 = 90
8x + 10 = 90 ⇒ x = 10
m∠2 = 47°
Help me plz. The sides of a rectangular terrain are given by the expressions (x - 5) y
(x – 7) meters. Determine an algebraic expression that represents its area.
Once the expression is obtained, what are the measures of the terrain, so its
area is 195 m² ? What is the perimeter of the terrain?
Answers
Area = (x - 5)(x – 7)
Area = x(x - 7) - 5(x - 7)
Area = x^2 -7x -5x + 35
Area = x^2 -12x + 35
algebraic expression that represents its area: x^2 -12x + 35
x^2 - 12x + 35 = 195
x^2 - 12x + 35 - 195 = 0
x^2 - 12x - 160 = 0
x^2 - 8x - 20x - 160 = 0
x (x + 8) - 20 (x + 8) = 0
(x + 8) (x - 20) = 0
(x + 8) = 0
(x - 20) = 0
x = - 8 (not a solution)
x = 20
hence,
length = x - 5
length = 20 - 5
length = 15 m
width = x - 7
width = 20 - 7
width = 13 m
perimeter = 2(13) + 2(15)
perimeter = 26 + 30
perimeter = 56 m²
The perimeter of the terrain is 56 m²
What is Area of Rectangle?The area of Rectangle is length times of width.
Given,
The sides of a rectangular terrain are given by the expressions (x - 5) and
(x – 7) meters.
Given area of rectangle is 195 m²
Area of rectangle= (x - 5) (x - 7)
195=x(x-7)-5(x-7)
195=x²-7x-5x+35
195=x²-12x+35
x²-12x+35-195=0
x²-12x-160=0
x²-8x-20x-160 = 0
x (x+8)-20(x+8)=0
(x-20)(x+8)=0
x=20 and x=-8
Length x-5=20-5=15
x-7=20-7=13
So length is 15m and width is 13m
the perimeter of the terrain =2(Length + width)
=2(15+13)
=2(28)
=56 m²
Hence the perimeter of the terrain is 56 m²
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In a company, 95% of the workers are men. If 125 people work for the company who aren't men , how many workers are there in all? Use pencil and paper. Show two different ways that you can solve this problem.
ill give you brainliesttttt
Answers
Based on the percentage of men workers in the company, the total number of workers is 2,500.
What is the percentage?The percentage is the fractional value of a variable concerning another.
Percentages are like ratios and proportions, which show the numerical relationship between the independent and dependent variables.
The percentage of men workers = 95%
The number of non-men workers = 125
The percentage of non-men workers = 5% (1 - 95%)
If 5% of the workers are 125, the total number of workers, 100% = 2,500 (125/5% x 100%).
Check:
Men workers = 95% = 2,375
Non-men workers = 5% = 125
Total = 2,500
Thus, given the percentage of men workers as 95%, the total number of workers in the company is 2,500.
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The total number of workers in the company is 2,500.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
In a company, 95% of the workers are men.
125 people work for the company who aren't men.
We need to find number of workers working in the company.
The percentage of men workers = 95%
The number of non-men workers = 125
The percentage of non-men workers = 5% (1 - 95%)
Men workers = 95% = 2,375
Non-men workers = 5% = 125
If 5% of the workers are 125
the total number of workers, 100% = 2,500 (125/5% x 100%).
Total = 2,500
Thus, given the percentage of men workers as 95%, the total number of workers in the company is 2,500.
Hence the total number of workers in the company is 2,500.
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6
4.
2
74-22
2
4-
6
Slope
Answers
Wayne has 2 pet spiders. Each spider has 8 legs. What is the ratio of spiders to the total number of legs?
Answers
Answer:
2:8
Step-by-step explanation:
Answer: 2:8
but yeah its 2:8
Investors buy a studio apartment for $120,000. Of this amount, they have a down payment of $12,000 . Their down payment is what percent of the purchase price? What percent of the purchase price would a $42,000 down payment be?
Answers
Answer:
The percentage for both the cases would be 100% and 35% respectively
Step-by-step explanation:
The computation of the percentage of down payment to the purchase price would be:
In the first case, the percentage would be
= Down payment ÷ Total amount
= $12,000 ÷ $120,000
= 100%
For the second case, the percentage would be
= Down payment ÷ Total amount
= $42,000 ÷ $120,000
= 35%
The percentage for both the cases would be 100% and 35% respectively
Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway. 30x + 30y = 450 20x + 25y = 345 How much more can Paula shovel in 1 minute than Melinda? 3 square feet per minute 6 square feet per minute 9 square feet per minute 15 square feet per minute
Answers
Answer: A: 3 square feet per minute
Step-by-step explanation:
The square feet more that Paula can shovel in 1 minute more than Melinda is 3 square feet per minute.
System of equations
30x + + 30y = 450 equation 1
20x + 25y = 345 equation 2
Where:
x = square feet shovelled by Melinda
y = square feet shovelled by Paula
What is the square feet shovelled by Paula?The first step is to multiply equation 1 by 20 and equation 2 by 30
600x + 600y = 9000 equation 3
600x + 750 y = 10,350 equation 4
Subtract equation 3 from equation 4
150y = 1350
Divide both sides by 150
y = 9 square meters
What is the square feet shovelled by Melinda?Substitute for y in equation 1
30x + 30(9) = 450
30x + 270 = 450
30x = 450 - 270
30x = 180
x = 6 square meters
How much more can Paula shovel in 1 minute than Melinda?9 - 6 = 3 square meters
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use the zero-exponent rule to simplify the expression:
-3^0+5^0-2^0-1^0
Answers
Answer:
-2
Step-by-step explanation:
The value of sin35∘ is equivalent to which value?
A. cos65∘
B. cos55∘
C. cos90∘
D. cos45∘
Answers
Answer:
B
Step-by-step explanation:
We can use the following co-function identity:
[tex]\sin(x)=\cos(90-x)[/tex]
Substuting 35 for x yields:
[tex]\sin(35)=\cos(90-35)[/tex]
Subtract:
[tex]\sin(35)=\cos(55)[/tex]
Hence, our answer is B.
What is the value of X
Answers
Answer:
10 degrees
Step-by-step explanation:
What is the slope of the line that passes through the points (-2, 7) and (2, -5)?
Write your answer in simplest form
Answers
Answer:-3
Step-by-step explanation:
A bag contains 2 blue marbles, 3 green marbles, 1 white marble and 4 red marbles.
What is the probability of selecting a red marble? Your answer should be in simplified
form.
Answers
Answer:
2/5
Step-by-step explanation:
add all marbles together: 10 marbles
since only 4 are red, the fraction would be 4/10
4/10 can be simplified to 2/5
Answer:
1/45
Step-by-step explanation:
2/10 * 1/9 = 1/45
2/10= 2 red marbles and 10 marbles in total.
the length of a rectangle is four times its width. the rectangle has an area of 1024cm. work out the width of the rectangle
Answers
A 2-column table with 4 rows. Column 1 is labeled Item Sold with entries Microwave Oven, Refrigerator, Dishwasher, Washing Machine. Column 2 is labeled Sale Price with entries 130 dollars, 600 dollars, 300 dollars, 350 dollars.
Rashad works at an appliance store. He earns 10 percent of the total amount he sells. The table shows the amount of sales he made in one day.
What is the total amount of Rashad’s sales?
How much does Rashad earn from his sales?
Answers
Answer:
1.) 1,380
2.) 138
Step-by-step explanation:
I know i'm 5 days late but why let the question go to waste
If He earns 10 percent of the total amount he sells, He would Get-
The total amount of Rashad’s sales- 1,380
How much does Rashad earn from his sales- 138
Have a Nice day!
Answer:
1380
138
Step-by-step explanation: