The sum in terms of p of four consecutive even integers with p been the smallest is 4(p + 3)
Even numbers are numbers that can be divided into two equal groups and they can be easily divisible by 2 without any remainder.
p is the smallest of the four consecutive even integers. This means p come first and it is the first term of the numbers.
Therefore, the 4 consecutive even integers is represented as follows;
p, p + 2, p + 4, p + 6
So the sum is equal to:
sum = p + p + 2 + p + 4 + p + 6
sum = 4p + 12
sum = 4(p + 3)
learn more on even numbers here: https://brainly.com/question/21514478?referrer=searchResults
It’s a khan academy problem I have trouble with
5) So far you have a MP3 Player with 0.5 GB of music already stored on the MP3 player and know that each song is about 0.002 GB of memory. What are the possible numbers of additional songs that you can put on the MP3 player if it holds at most 2 GB?
Answer: Any whole number between 0 and 750, including both endpoints.
One example could be 700 additional songs.
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Explanation:
x = number of additional songs, some nonnegative whole number
1 song takes up 0.002 GB, so x of them take up 0.002x GB of memory.
Add on the 0.5 GB already used to get the expression 0.002x+0.5 to represent the total amount of storage taken up. We want this expression to be 2 or smaller.
[tex]0.002x + 0.5 \le 2\\\\0.002x \le 2-0.5\\\\0.002x \le 1.5\\\\x \le 1.5/0.002\\\\x \le 750\\\\[/tex]
This says the most songs we can add are 750.
Because x is the number of songs, it doesn't make sense to have x be negative. This means [tex]x \ge 0[/tex] or [tex]0 \le x[/tex] is the case as well.
Combining [tex]0 \le x[/tex] and [tex]x \le 750[/tex] produces the compound inequality [tex]0 \le x \le 750[/tex]
The number of additional songs is any whole number between 0 and 750, including both endpoints.
The roster notation of this set could look like this: {0, 1, 2, ..., 748,749,750}
The triple dots indicate "keep this pattern going". That way we don't have to fill in all 751 values which would be a tedious process.
So you can add on something like 700 songs because it's between those endpoints mentioned, but cannot add something like 800 songs.
Answer:
0 - 750 additional songs
Step-by-step explanation:
current: 0.5 mb
remaining: 2-0.5=1.5 mb
each song: 0.002 gb
take remainig amount of space: 1.5 mb and divide by how much space each song takes: 0.002 mb to find out how many songs can fit in 1.5 mb of space
work:
(total amount of storage-used amount of storage)/storage per song
(2.0-0.5)/0.002
= 1.5/0.002
= 750 songs
what are the possible number of additional songs?
anything up until 750.
Plzzzz help mee plzzzzz plzzzzz
Answer:
1. B
2. Seven Hundred thousand nine hundred and four
Step-by-step explanation:
someone pls pls help
Answer:
4√2 cm
Step-by-step explanation:
ABCD is a square.
Each side measures 8 cm.
So,
AB = BC = CD = AD = 8 cm
P, Q, R, and S are mid - points of ABCD.
P is the mid - point of AB.
So,
AP = PB
AP + PB = AB
AP + AP = AB
2AP = 8
AP = 8 / 2
AP = 4 cm
S id the mid - point of AD.
So,
DS = SA
DS + SA = AD
SA + SA = AD
2SA = 8
SA = 8 / 2
SA = 4 cm
Property of a square : The angle between two sides is 90°.
So,
The angle between side SA and AP is 90°.
So,
SA, AP and SP forms a right angled triangles.
By Pythagoras theorem,
( SP)² = ( SA )² + ( AP )²
( SP )² = 4² + 4²
= 16 + 16
( SP )² = 32
SP = √32
SP = 4√2 cm
Since PQRS is also a square.
In square, all sides are equal.
So,
PQ = QR = RS = SP
Since SP = 4√2 cm
Hence,
PQ = 4√2 cm
Therefore,
the length of PQ is 4√2 cm.
Answer: 5.7
Step-by-step explanation:
Midpoint means the middle of line. So to find the middle of the line I just need to divide the line by 2.
So the midpoint of AB is:
8/2=4 = BP
Since Q is also a midpoint so BQ is equal to 4.
We know BP=BQ=4. Looking at the diagram we can tell PBQ is a triangle.
The hypotenuse of the triangle is PQ.
Pythagoras's theorem helps us to find the hypotenuse. So we just plug in the values to find PQ.
P's Theorem : a²+b²=c²
basically in the case of this question it means:
(BP)²+(BQ)²=(PQ)²
now we just subsiture the values and solve for PQ:
4²+4²=(PQ)²
16+16=(PQ)²
32=(PQ)²
PQ=5.65...
= 5.7(rounded to one decimal place)
If you don’t answer it correctly then don’t mind answering
The answers are underneath each problem. The reason this makes sense is due to the distributive property.
27. GCF of 27 and 12 is 3
3(4+9)
28. GCF of 12 and 36 is 12
12(1+3)
29. GCF of 16 and 20 is 4
4(4+5)
30. GCF of 2x and 8 is 2
2(x+4)
31. GCF of 30 and 12x is 6
6(5+2x)
32. GCF of 42x and 49 is 7
7(6x+7)
To do this, find the GCF and then divide each number by so. Then, add them in parenthisis and multiply it by the GCF
Gabby took a math quiz last week. There were 28 problems on the quiz and Gabby answered 25% of them correctly. How many problems did Gabby get correct? problems
Answer:
7
Step-by-step explanation:
25% of 28 =
= 0.25 × 28
= 7
Answer: 7
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answer:
Part A: The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' is 1/4
Part B:
P''(-1, 0)
Q''(0, -1)
R''(2, -1)
Part C:
The two Triangles PQR and P''Q''R'' are not congruent.
The sum of Alyssa's age and her sister's age is 48 years. Alyssa's age is 6 years less than twice her sister's age. What is Alyssa's age, and what is her sister's age?
Answer:
Alyssa's Sister = 18, Alyssa = 30
Step-by-step explanation:
48 = 2x-6 + x
54 = 2x + x
54 = 3x
18 = x
2(18) - 6
36 - 6
30
48 = 2(18) - 6 + 18
48 = 36 - 6 + 18
48 = 30 + 18
48 = 48
Please I really need help I’ll give brainliest
Based on the information in the diagram, which triangle
congruence property can be used to justify that triangle ABC is congruent to triangle FGH?
Answer:
In this I would choose C
Step-by-step explanation:
What is the slope of the line containing the point (34,-27) and (14, 37)
Step-by-step explanation:
where slope is equal to y2-y1/x2-x1
Please answer my question
Answer:
y=14x
Step-by-step explanation:
A grocery store sells 25 crates of peaches for $125. How much does 1 crate cost?
Answer: One crate of peaches is $5
Step-by-step explanation:
All you do for this question is divide 125 by 25 gives us 5
Answer:
5
Step-by-step explanation:
Just decide 125 by 25 and get the answer :)
The gas tank of priya pontoon boat can hold 5 gallons it is completely empty Oriya needs a full tank for the days activities she adds 2 1/4 gallons from a gas canister and then takes the boat to a nearby marina to fill it up. She has to pay ahead. Oriya wants the tank as full as possible but does not want to overpay. How many gallons should Oriya ask for?
compare 8/11 to 3/5
PLEASE HELP !!!
Rewrite both fractions with a common denominator:
8/11 x 5 = 40/55
3/5 x 11 = 33/55
40/55 is greater than 33/55 so 8/11 is greater than 3/5
Find the difference.
17 minus 2 and one-third equals what number?
A. 15 and one-third
B. 15 and two-thirds
C. 14 and two-thirds
D. 14 and one-third
Answer:
C. 14 and 2/3
Answer:
C
Step-by-step explanation:
17 - 2 1/3
17 -2 -1/3
15 -1/3
14 2/3
PLZ HELP
Given the side lengths, determine whether the triangle is acute,right, obtuse, or not a triangle.
15,17,21
Not a triangle
A cute
Right
Obtuse
3,9,10
Not a triangle
Acute
Right
Obtuse
Answer:
It is an acute scalene triangle
Step-by-step explanation:
All angles are acute, making it an acute triangle
scalene because all sides are different lengths
PLSS HELP whats 4.922 rounded to the nearest hundredth PLS
Answer:
4.92
Step-by-step explanation:
Answer: 4.92
Step-by-step explanation:
To round a three decimal integer like 4.922, you look at the trailing digit or last decimal (2) in this case.
Then determine if greater or less than 5. If greater or equal to 5, remove last digit 2 and then add 1 to the number before (2) or 2nd decimals place.
So we have 4.922 with last decimals being 2.
Therefore, we do not add and keep last decimals before the same.
Answer is 4.92
a number decreased by 23% equals 123
Answer:
100 is inital value of that decrease
The difference between a number and 16 is 49.
ANYBODY KNOW THE ANSWER?~
Hey there!
GUIDE
• The word “sum” means add
• The word “difference” means subtract
• The word “product” means multiply
• The word “quotient” means divide
• The word “is” means equal to
• The “unknown number” is a variable that is not known. So people usually label it as a variable until they figure out what the unknown value is.
Now that we have that information out the way we can solve for your given question.
“The [DIFFERENCE] between [a number] & 16 [is] 49
Lets break it down
• DIFFERENCE (between) = subtract☑️
• A NUMBER = UNKNOWN (so we will label it is as “n”]☑️
• 16 will stay the same because NOTHING was done to it!
• IS = is equal to☑️
We have the key terms out of the way so now we met our answer
ANSWER:
“n - 16 = 49”
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
ax4 + bx2 + c=0 (a>0) (c>0)
The quadratic equation has two solutions If
1)b2>4ac
2) b2-4ac>0
The quadratic equation has two solutions if b^2 - 4ac > 0
Given the equation ax^4 + bx^2 + c=0
Let P = x^2Substitute into the formula to have:
a(x^2)^2 + bx^2 + c =0The equation becomes aP^2 + bP + c = 0
For us to have a unique solution, the discriminant b^2 - 4ac must be greater than zero. Hence the quadratic equation has two solutions if b^2 - 4ac > 0
learn more on discriminant here; https://brainly.com/question/1537997
(sin^2(0)) I really need help with this asap
Answer:
Asapa
[tex] (sin2(0) [/tex]
Solve -2.5n + 8.7 > 5.45.
Answer:
Solved for n: n < 1.3
Step-by-step explanation:
Are there answer choices included?
triangle ABC rotated 90 degress clockwise about point P to create triangle DEF. Determine the correct orientation and location of triangle DEF
When a triangle is rotated, it must be rotated through a center.
The location of the triangle would be above point P, and the orientation is triangle DEF (the first triangle)
The triangle is given as: triangle ABC.
And the degree of rotation is 90 degrees clockwise.
Given that the triangle is rotated about point P, then the new location after 90 degrees rotation would be above point P.
And the orientation would point to the right of point P.
Hence, the location of the triangle would be above point P, and the orientation is triangle DEF (the first triangle).
Read more about rotation at:
https://brainly.com/question/1616371
Solve and show your work for each question...
[tex]0.\overline{36} = \dfrac{36-0}{99} = \dfrac{36}{99} = \dfrac{4}{11}\\\\\\0.3\overline{6}= \dfrac{36-3}{90} = \dfrac{33}{90} = \dfrac{11}{30}\\\\\\0.36 = \dfrac{36}{100} = \dfrac{9}{25}[/tex]
Plzzzz help meee plzzzzzzz
Answer:
the answer is d
Step-by-step explanation:
Jim’s backyard is rectangular with dimensions of 80 feet by 120 feet. He is planning to designate part of the yard to plant a vegetable garden. The garden will be a similar rectangle, using a scale factor of 3/4. How much fencing will he need if he wants to enclose the garden on all four sides?
How many feet does he need?
Could somebody please help with this?
the x-intercept is the point where the line touches the x-axis. The x-intercept is (4,0)
the y-intercept is the point where the line touches the y-axis. The y-intercept is (0,-2)
John is a mechanic with a technical license. He has worked 40 hours at minimum wage
this week. How much is his gross wage for the week?
Answer:
$290
Step-by-step explanation:
if minimum wage is $7.25
7.25×40= 290
Please answer number 3???
Two vehicles are moving, one with the velocity of 20 m/s towards east and another with 10 m/s towards west. Calculate the distance between them after 20 minutes they are started from the same place and the same time.
Answer:
12 km
Step-by-step explanation:
20 minutes = 20 * 60 = 1200 second
distance = velocity * time
car 1 = 1200 * 20 = 24000 m = 24km
car 2= 1200 * 10 = 12000 m = 12km
so distance between them after 20 minutes is 24 -12 = 12 km