Answer:4 • (2x + y)
Step by step solution :
Step 1 :
Step 2 :
Pulling out like terms :
2.1 Pull out like factors :
4x + 2y = 2 • (2x + y)
Final result :
4 • (2x + y)
Step-by-step explanation:
The expression 2(4x+2y) is equivalent to 8x + 4y.
The expression 2(4x + 2y) can be simplified using the distributive property, also known as the distributive law or the distributive property of multiplication over addition.
This property allows you to distribute the factor outside the parentheses to each term inside the parentheses. Here are some equivalent expressions:
Distributing the 2:
2(4x + 2y) = 2 * 4x + 2 * 2y = 8x + 4y
Using the distributive property in reverse:
2(4x + 2y) = 4x(2) + 2y(2) = 8x + 4y
Factoring out a common factor:
2(4x + 2y) = 2 * (2 * 2x + 2 * y) = 2 * 2(2x + y) = 4(2x + y)
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4. A horse is tethered to one corner of a square plot of side 42 m, by a rope 35 m long. Find i) what area it can graze ii) what area will be left ungrazed.
Answers:
i) It can graze an area of approximately 961.625 square meters
ii) The ungrazed area is roughly 802.375 square meters
note: I used pi = 3.14 which is approximate; if you want more accuracy, use more decimal digits in pi
===============================================
Explanation:
Check out the attached image below for a visual diagram.
The area of a circle is the formula
A = pi*r^2
Use r = 35 as the radius and pi = 3.14 as the approximation for pi, to get,
A = pi*r^2
A = 3.14*35^2
A = 3846.5
Then divide this by 4 to get the area of a quarter circle
A/4 = 3846.5/4 = 961.625
This is the approximate area the horse can graze
------------
Subtract this from 42^2 = 42*42 = 1764 because this is the area of the entire square. Doing this will get you the ungrazed area
Ungrazed area = (entire plot) - (grazed area)
Ungrazed area = (entire area of square) - (area of quarter circle)
Ungrazed area = 1764 - 961.625
Ungrazed area = 802.375
How do you solve this ?
Answer:
3y
Step-by-step explanation:
Simplifying
13x + -39y = 0
Solving
13x + -39y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '39y' to each side of the equation.
13x + -39y + 39y = 0 + 39y
Combine like terms: -39y + 39y = 0
13x + 0 = 0 + 39y
13x = 0 + 39y
Remove the zero:
13x = 39y
Divide each side by '13'.
x = 3y
Simplifying
x = 3y
lightning strikes the earth 1000 times every ten seconds. how many seconds does it take forr it to strike 7250 times?
Answer:
72.5 seconds
Step-by-step explanation:
7250 ÷ 1000 = 7.25
7.25 x 10 = 72.5 seconds
Answer:
72.50 s
Step-by-step explanation:
Lightning strikes the earth 1000 times every 10 seconds. First calculate time taken for each lightning to strike the Earth by unitary method:
1000 times lightning takes 10 s
1 time lightning would take [tex]\frac{10s}{1000} = 0.01 s[/tex]
Multiply 7250 with this time. It will yield amount of time in which lightning would strike 7250 times:
[tex]\frac{10s}{1000}\times 7250 =72.50 s [/tex]
is 0.6 a rational number why or why not
Answer:
.6 is a rational number
Step-by-step explanation:
.6 can be written as 6/10
This is the ratio of integers , which is the definition of rational numbers
Answer:
Rational
Step-by-step explanation:
A rational number is a number that can be expressed as a fraction of integers. .6 (or any terminating decimal) can be expressed as a fraction. .6 is the same as 6/10. Since it is able to be expressed as a fraction, it is a rational number.
I need help please show work.
Answer:
The midpoint of the segment is (6,5)
Step-by-step explanation:
To find the midpoint of a segment we use the formula
midpoint = (x1+x2)/2, (y1+y2)/2
= (10+2)/2 , (7+3)/2
= 12/2, 10/2
=6,5
The midpoint of the segment is (6,5)
The table shows the price for different numbers of
ice cream cones:
number of ice cream cones || price (in dollars)
2 4
4 8
5 10
8 16
Does this table of numbers represent a proportional relationship?
a ] No, because the price of 4 ice cream cones should be $6
b ] No, because the price of 5 ice cream cones should be $20
c ] Yes, because the price is 2 times the number of ice cream cones
d ] Yes, because 2 times the price is the number of ice cream cones
Answer: C
Step-by-step explanation:
Each of the number of cones multiplied by two equals the reciprocating number so they are all proportional.
Answer Is:
C Please mark me brainliest
you buy a book for 10.99 dollars and pay $0.91 in sales tax how much change should you receive from a $20 bill explain your work
Answer:
$8.10 would be the change
Step-by-step explanation:
10.99+0.91=11.90 to find the total
$20.00-11.90= 8.10 to find the change
Hope this helped ❤️
Answer:
$8.10
Step-by-step explanation:
The first step is to calculate how much you owe.
10.99 + .91 = 11.90
Change = Cash paid - how much you owe
= 20.00 - 11.90
=8.10
The change is $8.10
A computer takes 12 min to download a 48 min movie. How long will it take to download a 2.5 hour movie? how do i do this?
Answer:
37.5 minutes
Step-by-step explanation:
48/12 = 4 (for every 1 minute, 4 minutes of movie is downloaded.
change 2.5 hours to minutes = 60+60+30 = 150 minutes
150/4 = 37.5 minutes to download the 2.5 hour movie
Divide. Give special attention to the order of division. a. 72 ÷ 9 ÷ 2 b. (18 ÷ 6) ÷ 3 c. 45 ÷ 5 ÷ 3 d. 144 ÷ (12 ÷ 2)
Answer:
a. 4
b. 1
c. 3
d. 24
Step-by-step explanation:
a. 72 ÷ 9 ÷ 2
= (72÷9)÷2
= 8÷2
= 4
b. (18 ÷ 6) ÷ 3
= 3÷3
= 1
c. 45 ÷ 5 ÷ 3
= (45÷5)÷3
= 9÷3
=3
d. 144 ÷ (12 ÷ 2)
= 144÷6
= 24
12a + 12b + 12c + 12d Michael writes the expression shown here as 12(a + b + c + d). He is correctly using the ___________ property.
Answer:
He should be using distributive property
Sorry if im wrong
Step-by-step explanation:
Answer:
Michael used distributive property
Step-by-step explanation: I got it correct on my test and I'm also in K12
2x (y^2+3)-5 (3+y^2)
Use distributive property a(b + c) = ab + ac.
[tex]2x(y^2+3)-5(3+y^2)=(2x)(y^2)+(2x)(3)+(-5)(3)+(-5)(y^2)\\\\=2xy^2+6x-15-5y^2[/tex]
What is the value of X?
X=
B=75
C=50
A=x
Thank u! Sorry i'm dumb:(
Answer:
55
Step-by-step explanation:
70+50=125
180-125=55
When you find 100% of a number, how does your answer relate to the original number?
a. the numbers are equal.
b. it is less than the original number.
c. it is greater than the original number.
Answer:
i think c.
Step-by-step explanation:
The numbers are equal (choice A)
This is because 100% of something is that entire thing, not changed at all. It is not added to, or subtracted from. Example: 100% of 78 is 78. If you had 78 people in a room, and selected 100% of them, then you selected all 78 people.
From a boat on the lake, the angle of elevation to the top of a cliff is 28°16'. If the base of the cliff is 1307 ft from the boat, how high is the cliff (to the nearest foot)
keeping in mind that there are 60 minutes in 1 degree, thus 16' is really 16/60 ≈ 0.2666...., meaning [tex]\bf 28^o16'\implies 28.\overline{27}~^o[/tex].
Check the picture below.
make sure your calculator is in Degree mode.
Solve for the midpoint of the segment with endpoints (5,18) and (-11,2)
Answer:
Midpoint ( -3, 10)
Step-by-step explanation:
To find the midpoint , we use the formula
midpoint = (x1+x2)/2, (y1+y2)/2
Substituting what we know
= (5+-11)/2, (18+2)/2
= (-6/2), (20/2)
=-3,10
p^n/p^8 = p^-6 what is N? the arrows pointing up mean the power of the letter
[tex]\text{Use}\ \dfrac{a^n}{a^m}=a^{n-m}.\\\\\dfrac{p^n}{p^8}=p^{-6}\\\\p^{n-8}=p^{-6}\iff n-8=-6\qquad\text{add 8 to both sides}\\\\\boxed{n=2}[/tex]
Select the property shown by the statement: -2x×7y=-2×7×X×y
A)communitive
B)associative
C)reflective
D)symmetric
Answer:
If I am correct It is Commutative Property
Hope That Helps!
when does the price of an item increase
Final answer:
The price of an item can increase due to inflation, a reduction in supply, or an increased demand. High inflation rates make it challenging to determine the exact causes of price increases and complicate decision-making for both consumers and businesses.
Explanation:
The price of an item can increase due to various factors such as inflation, a decrease in the supply of the good, or an increase in the demand for the good. In situations of high inflation, such as the case in Israel in 1985 with an annual inflation rate of 500%, prices can change so frequently that stores might not post prices directly on items. This makes it challenging for consumers and businesses to respond to economic signals, complicates price comparisons, and makes it difficult to deduce the cause of price increases.
Inflation implies a general increase in prices and can affect all goods and services, leading consumers to spend money quickly before prices rise further. A decrease in supply, perhaps due to production issues or scarcity of resources, can lead to higher prices if demand remains constant. Conversely, an increase in demand for a good without a corresponding increase in supply can also drive prices up. Recognizing the reasons behind rising prices can be complex, especially when high inflation rates obscure the underlying economic indicators.
given m=1/3, what is the parallel slope? what is the perpendivular slope?
Answer:1/3 and -3
Step-by-step explanation:pararel slope is the same as mane slope, and perpendicular is opicite reciprical.
Answer:
parallel: m = 1/3
perpendicular: m = -3
Step-by-step explanation:
Parallel line:
Slopes of parallel lines are equal.
If the given line has slope 1/3, then the parallel line also has slope 1/3.
Perpendicular line:
The slopes of perpendicular lines are negative reciprocals. That means that the product of the slopes is -1. That also means that to find the slope of a perpendicular line to a given line, first find the reciprocal of the slope of the given line (flip the fraction), then change the sign.
The slope of the perpendicular line and the slope of the line must multiply to -1.
Start with the given slope, 1/3. Now flip it to get 3/1 which is simply 3. Now change the sign to -3. The slope of the perpendicular is -3.
Check: multiply the slopes. They must have a product of -1.
1/3 * (-3) = 1/3 * (-3/1) = -3/3 = -1
The product is -1, so the slope of the perpendicular, -3, is correct.
Number 15 please ASAP
With an explanation if possible
Answer:
D 1/40
Step-by-step explanation:
Of the dogs at the show, 1/12 were hounds
Of the hounds, 3/10 were English foxhounds
To determine how many at the show were English foxhounds, we multiply 1/12 by 3/10
1/12* 3/10 = 3/120 = 1/40
If triangle TOY is equal to triangle STU, then what corresponding side is congruent to side US?
A bag contains 6 blue marbles 10 red marbles and 9 green marbles. If 2 marbles are drawn at random without replacement what is the probability that to green marbles are drawn
Answer:
P(1 and 2 are green) = 3/25
Step-by-step explanation:
We need to know the total number of marbles
6 Blue + 10 red + 9 green = 25 marbles
P ( 1st marble is green) = green/ total
= 9/25
Since we don't put it back, there are
6 Blue + 10 red + 8 green = 24 marbles
P ( 2st marble is green) = green/ total
= 8/24 = 1/3
P(1 and 2 are green) = P(1st green) * P(2nd green)
= 9/25 * 1/3
= 3/25
To calculate the probability of drawing two green marbles consecutively without replacement, multiply the probability of drawing a green marble on the first draw (9/25) by the probability of drawing another green marble on the second draw (8/24, or 1/3), which equals 0.12.
Explanation:The question is asking about the probability of drawing two green marbles consecutively from a total of 25 marbles without replacement. The total number of marbles is comprised of 6 blue, 10 red, and 9 green marbles. The probability rule for independent events must be used in this scenario, which states that the probability of both events occurring is the product of the probabilities of each event.
Initially, you have 9 green out of 25 total marbles so the probability of drawing a green is 9/25. After having drawn one green marble, there are now 8 green out of a total of 24 marbles left in the bag, hence the probability of drawing one more green would be 8/24 or 1/3. Therefore, the probability of drawing two green marbles consecutively, without replacement is (9/25) * (1/3) or 3/25 or 0.12.
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what is the following quotient -2 srt8 4+sqrt 12
[tex]\dfrac{-2\sqrt8}{4+\sqrt{12}}=\dfrac{-2\sqrt{4\cdot2}}{4+\sqrt{4\cdot3}}=\dfrac{-2\cdot\sqrt4\cdot\sqrt2}{4+\sqrt4\cdot\sqrt3}=\dfrac{-2\cdot2\sqrt3}{4+2\sqrt3}=\dfrac{-4\sqrt2}{2(2+\sqrt3)}=-\dfrac{2\sqrt2}{2+\sqrt3}\\\\\text{Use}\ (a+b)(a-b)=a^2-b^2\\\\=\dfrac{-2\sqrt2}{2+\sqrt3}\cdot\dfrac{2-\sqrt3}{2-\sqrt3}=\dfrac{-2\sqrt2(2-\sqrt3)}{2^2-(\sqrt3)^2}\\\\\text{Use distributive property and}\ \sqrt{a}\cdot\sqrt{b}=\sqrt{ab}\\\\=\dfrac{-4\sqrt2+2\sqrt6}{4-3}=\dfrac{2\sqrt6-4\sqrt2}{1}=2\sqrt6-4\sqrt2[/tex]
Which is the same as 7/3? A.7 divided by 1/3 B. 3 divided by 7 C.1/7 of3 D. 7 divided by 3
Answer:
D
Step-by-step explanation:
[tex]\frac{7}{3}[/tex] is 7 ÷ 3
Answer:
D. 7 divided by 3
Step-by-step explanation:
A.7 divided by 1/3
7 ÷ 1/3 Copy dot flip 7 * 3/1 = 21 No
B. 3 divided by 7
3 ÷7 = 3/7 No
C.1/7 of3
1/7 * 3 = 3/7 No
D. 7 divided by 3
7÷ 3 = 7/3 Yes
Nate and Laura picked apples. Laura picked 1/2 as many as Nate picked. Together they picked 90 apples. How many did each of them pick?
Let n stand for the number of apples Nate picked.
Equation:____
How many apples did Nate pick?______
How many apples did Laura pick?______
Answer: Nate picked 60 apples and Laura picked 30. (1/2)x+x=90
Step-by-step explanation:
3(-2x-1)=2(x+5)
A) -13/8
B) -3/4
C) 13/8
D) 3/4
a submarine travels 90 kilometers in 4 hours find the submarines rate of speed in kilometers per hour
Answer:
22.5
Step-by-step explanation:
To find the rate of speed per hour, you need to divide the kilometer (90) by the hours (4).
90/4=
22.5
The submarine's rate of speed is found by dividing the distance traveled (90 kilometers) by the travel time (4 hours), resulting in a rate of 22.5 kilometers per hour.
You need to use the formula for speed which is speed = distance ÷ time. In this case, the submarine travels 90 kilometers in 4 hours.
To calculate the rate of speed, divide the distance by the time:
Speed = 90 kilometers ÷ 4 hours = 22.5 kilometers per hour.
This means the submarine's rate of speed is 22.5 kilometers per hour.
Marisa painted one-half of her bedroom in three-fourths of an hour. At this rate, how long would it take her to paint the entire room? three-eighths of an hour eight-thirds of an hour four-sixths of an hour six-fourths of an hour
Answer:
6/4 of an hour hope this helps.
A man bought 8 boxes highlighters, each with 24 highlighter pens inside, for $9 each box. He sold the highlighters for $1 each. Did he earn money or lose money? How much money did he earn or lose?
Answer:
The man earned money:
Step-by-step explanation:
$1 x 24 pieces =$24 revenue per box
$24 - $9 = $15 earning per box
$15 x 8 boxes = $120 total earnings
last weekend,5% of the tickets sold at seaworld were discount tickets. if seaworld sold 60 tickets in all , how many discount ticket did it sell? use the percent proportion
Answer:
3
Step-by-step explanation:
to do this you need to figure out 5 percent of 60
in order to do this you need to find 95 percent of 60 and subtract it from 60
.95x60=57
60-57=3
they sold 3 discount tickets
3/60=5%