Answer:
-2n + 2
Step-by-step explanation:
They give you the X value which is 2
All you do is substitute
-2n + 2
Hope this helped
Patricia wishes to have a rectangular garden in her backyard. She has 88 ft of fencing with which to enclose her garden. Letting x denote the width of the garden, find a function f in the variable x giving the area of the garden.
The area of the rectangular garden in terms of a function in x is given by 44x - x²sq. ft.
What is the area of a rectangle?
A rectangle is a closed geometric figure with opposite sides equal to each other. The area of this rectangle is given by the product of its length and width.
Calculating the area of a rectangular garden in terms of a function in x
Let us consider a variable x that denotes the length of a rectangular garden
Given perimeter of a rectangular garden is 88 ft with y as the width of a rectangular garden
Perimeter = 2×(length + breadth)
88 = 2(x + y)
44 = x + y
y = 44 - x
Area of a rectangular garden = xy
= x(44 - x)
= 44x - x² sq. ft
Hence, the area of a rectangular garden in terms of a function in x is given by 44x - x² sq. ft.
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(3x-5) + (x+1) = 180
The value of 'x' for the given expression is calculated as (x = 48).
What is defined as the linear equation in one variable?A linear equation in one variable is an equation that has only one solution.
It is expressed in the form ax+b = 0, where a and b are two integers and x is a variable. The numbers a' and b' are real numbers.'a' and 'b' are both greater than zero.2x+3=8, for example, is a linear equation with a single variable.Now, for the given expression;
(3x-5) + (x+1) = 180
Open the brackets.
3x-5 + x+1 = 180
Add the similar parts;
4x - 4 = 180
Further simplifying;
4x = 180 + 4
4x = 184
x = 184/4
x = 48
Therefore, the value of 'x' is estimated as 48.
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Use properties of exponents and logarithms to evaluate the expression as a rational number.
y= 1/16 is the solution of the equation where y is [tex]e^{-2ln4}[/tex]
The expression is given to be [tex]e^{-2ln4}[/tex]
The formula is given to be [tex]e^{lnx} =x\\[/tex]
also it is given that ln[tex]e^{x}[/tex]=x
Now to find and evaluate [tex]e^{-2ln4}[/tex]
let y=[tex]e^{-2ln4}[/tex]
taking ln both sides,
ln y = ln[tex]e^{-2ln4}[/tex]
ln y= -2 ln4
ln y= ln 4^-2
Removing ln from both sides,
y = 4^-2
y=1/16
Thus , y= 1/16 is the solution of the equation
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Guys can you help me with this FAST!!
Answer:
1/6
Step-by-step explanation:
30+20= 50
200+100= 300
you divide 50÷300 and you get 1/6
In the Student Shoppe, Jackie spent $1 less than twice what Gail spent. If together they spent $11, find the amount of money Gail spent.
Answer:
Gail spent $4 and Jackie spent $7
Step-by-step explanation:
Let j = Jackie
Let g - Gail
j = 2g -1 j + g = 11
substitute 2g - 1 for j in the second equation
j + g = 11
2g - 1 +g =11 Combine the g's
3g -1 = 11 Add 1 to both sides of the equation
3g = 12 Divide both sides by 3
g = 4
Plug 4 in for g to find j
j = 2g -1
j = 2(4) -1
j = 8 -1
j = 7
the inequality always, sometimes, or never true
4x8> 1 + 4(x + 3)
The given inequality is never true which means it has no solutions. If an inequality has no actual solution, then there aren't any numbers that might be used to solve it and make the statement true. An inequality can be made true by substituting any real number into it if the solution to the inequality is all real numbers.
Given the expression is 4x ₋ 8 > 1 ₊ 4(x₊3)
first apply the distributive property.
4x ₋ 8 > 1 ₊ 4x ₊ 12
now combine the like terms.
4x ₋ 8 > 4x ₊ 13
Variables should be moved to the equation's left side.
4x ₋ 4x > 13 ₊ 8
combine like terms.
0 > 13 ₊ 8
calculate the sum.
0>21
This is the solution of inequality which has no solutions.
Hence the inequality of the expression is never true.
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Masha bought red, green, and yellow balloons for a party. She bought 40 red balloons. The number of green balloons Masha 3 bought is of the number of red balloons. The number of green 5
balloons is also 2 3 of the number of yellow balloons.
How many balloons did Masha buy for the party?
Answer:
its 100 ez bro
Step-by-step explanation:
Answer: 100 balloons
Step-by-step explanation:
because it is 100 balloons
What is the converse of the following conditional statement?
"If it is sunny, then it is 80° Fahrenheit."
Determine the validity of the converse and give a counterexample if the converse is not valid.
If it is sunny, then it is 80° Fahrenheit. The converse is valid.
If it is 80° Fahrenheit, then it is sunny. The converse is valid.
If it is not sunny, then it is not 80° Fahrenheit. The converse is invalid; a counterexample is a day that is not 80° Fahrenheit and not sunny.
If it is 80° Fahrenheit, then it is sunny; The converse is invalid; a counterexample is a day that is 80° and cloudy.
The converse of the conditional statement "If it is sunny, then it is 80° Fahrenheit." is "If it is 80° Fahrenheit, then it is sunny".
Given the conditional statement "If it is sunny, then it is 80° Fahrenheit."
and asked for the converse statement if it exists
converse:
A statement's converse is formed by switching the hypothesis and conclusion. "If two lines do not intersect, they are parallel," is the converse of "If two lines intersect, they are parallel." "If p, then q" is the converse of "if q, then p."
Therefore, the converse of conditional statement is "If it is sunny, then it is 80° Fahrenheit."
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Answer: A: If it is sunny, then it is 80° Fahrenheit. The converse is valid.
Step-by-step explanation: Hope that helped!
K
What is 0.514 written as a power of 10??
Answer:
To write this is true scientific notation the decimal point needs to be moved 1 place to the right so the exponent for the 10s term will be negative:
0.514=5.14×10
−1
Answer:5.14
Step-by-step explanation:
Which is an illustration of the associative
property?
a. (b.c) = (b.c).a
α · b = α
a (b.c) = (a.b).c
a.b=b.a
Bill's school is selling tickets to a fall musical.
On the first day of ticket sales the school sold 1 adult ticket
and 6 child tickets for a total of $52.
The school took in $66 on the second day by selling 1 adult
ticket and 8 child tickets.
Find the price of an adult ticket.
•$3
•$10
•$7
•$9
By solving a system of equations, we can see that the adult ticket costs $10.
How to find the price of the adult ticket?
Let's define the two variables:
x = price of the adult ticket.y = price of the child ticket.With the given information, we can write a system of equations:
1*x + 6*y = $52
1*x + 8*y = $66
By taking the difference between the two equations we get:
(1*x + 8*y) - (1*x + 6*y) = $66 - $52
2y = $14
y = $14/2 = $7
Now that we know the value of y, we can find the value of x.
Replacing the value of y in the first equation we get:
1*x + 6*$7 = $52
x = $52 - 6*$7 = $10
With this, we know that the adult ticket costs $10.
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Evan's calculator shows 137.2582774 as the volume of his soccer ball. Evan measure the radius of the ball to be 3.2 inches. Determine to what place the rounding of the volume should oceur and give the rounded answer.
Answer:
Answer is 137.3
Step-by-step explanation:
Since there is one significant digit after decimal, i.e. 2
Therefore, the answer should be rounded off to the nearest tenths digit.
What is the distance between (4, 2) and (8, 5)
The distance between (4, 2) and (8, 5) is 5 units.
The distance between two given points can be calculated using the following formula :
Distance, D = [ ( x2 - x1 )^2 + ( y2 - y1 )^2 ]^1/2
Coordinates of point A = (4,2)
Coordinates of point B = (8,5)
For the above mentioned formula, we get
x1 = 4
x2 = 8
y1 = 2
y2 = 5
Substituting these values in the distance formula, we get
D = [ ( 8 - 4 )^2 + ( 5 - 2 )^2 ]^1/2
=> D = [ ( 4 )^2 + ( 3 )^2 ]^1/2
=> D = [ 16 + 9 ]^1/2
=> D = [25]^1/2
=> D = 5
Therefore, using the distance formula, we get the distance between (4, 2) and (8, 5) as 5 units.
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The table below shows a student's quiz scores on six quizzes.
Scores
15
9
8
13
10
11
Find this student's median quiz score
Landon was making snacks for his family for the week. He used 25/35 of a pound of peanuts. Additionally he use 1/7 of a pound of almonds. At the end of the week, he determined that 3/5 of the snacks were leftover. At the end of the week, how much snacks, in pounds, was used?
Landon used an amount of 4 / 7 of a pound of snacks for his family of the week.
How to estimate the amount of snacks spent per week
In this problem we must determine the total amount of snacks used by Landon in a period of a week, which is found by the summing fractions. Then, we must solve the following linear equation:
(3 / 5) · x = x - 25 / 35 - 1 / 7
(3 / 5) · x = x - 25 / 35 - 5 / 35
(3 / 5) · x = x - 20 / 35
x - (3 / 5) · x = 20 / 35
(2 / 5) · x = 20 / 35
7 · x = 10
x = 10 / 7
And the amount of snack used is determined by the following subtraction:
z = (2 / 5) · (10 / 7)
z = 20 /35
z = 4 / 7
Landon used an amount of 4 / 7 of a pound of snacks for his family of the week.
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an angle measures 85.2 less then the measure of its supplemetary angle . what is the measure of the angle
Answer:
94.8
Step-by-step explanation:
supplementary angle = 180°
180 - 85.2 = 94.8
Answer: 47.4 degrees
Step-by-step explanation:
A=measure of angle
S=Angle A's supplementary angle
Supplementary Angle=180 degrees
A+85.2=S
A+S=180
A+A+85.2=180
2A+85.2=180.0
2A=94.8
A=47.4 degrees
7. There are 7 pairs of green socks, 6 pairs of white socks, 5 pairs of red socks and 4 pairs of blue socks. One person is asked to close his eyes, and draw the socks 1 pair at a time. At least how many pairs of socks should be drawn so that among the drawn socks, 4 pairs of those have the same color?
Answer:
13
Step-by-step explanation:
We can think of this as drawing 3 pairs of each color, and then the next pair will guarantee we have 4 of one color.
This is 3(4)+1=13 pairs.
Step-by-step explanation:
let me see, if I understand this right.
7 pairs of green socks = 14 green socks.
6 pairs of white socks = 12 white socks.
5 pairs of red socks = 10 red socks.
4 pairs of blue socks = 8 blue socks.
in total : 44 socks (or 22 pairs).
the person is pulling socks always 2 at a time. but each sock can be any color.
or are the pairs still connected, and each draw pulls a pair of equal socks ?
and then the question also really is, what is meant by 4 pairs have the same color ? that i find 4 groups of 2 socks each with the save color inside the group (making them pairs), or truly 4 pairs with the same color (e.g. 4 red pairs, or 4 green pairs) ?
if the pairs are still connected, only the second question makes sense.
the worst that can happen in that scenario is drawing
3 pairs of blue socks.
3 pairs of red socks.
3 pairs of white socks.
3 pairs of green socks.
this now like in Baseball : the bases are loaded. any additional runner will cause a score.
because any additional draw must complete one of the groups of 4 pairs.
so, latest after the 4×3 = 12 draws, we get a 13th draw. that gives us 4 equally colored pairs of socks for sure.
so, we need 13 draws.
if each sock is in there individually, and we still want to have 4 pairs of socks all with the same color, then it starts similarly :
the socks get pulled 2 by 2 but that means each drawn pair can have different colors of the individual socks.
in the worst case after drawing 24 socks (12 groups of 2 socks), we have the same situation as in the previous case.
but now, pulling 2 more socks does not guarantee a full set of 4 pairs. we could get 2 different socks that add only half a pair to 2 color groups.
the same with the next pulled group of 2. they fill up the other 2 color groups with half-pairs.
but now the base are loaded. by pulling the next (3rd) additional group of 4, we complete at least one color group with 4 full pairs.
so, we need 12 + 3 = 15 draws to make absolutely sure.
now, if we have individual socks, and want to get 4 pairs of socks that have just the same color inside their pair, we need to think a little bit differently.
after 2 draws (4 socks) we have in the worst case 4 individual socks with different colors.
after the next 2 draws we can be already lucky, but in the worst case we are not but have now either 2.5 full pairs of one color and 3 individual socks, or 2 full pairs in one color, 1 full pair in a second color, and 2 individual socks, or 1.5 pairs in one color, 2×1 full pairs in 2 other colors, and 1 individual sock.
with the next draw in the worst case we could only extend the second case and get 2.5 pairs in one color, 1.5 pairs in the second color and still 2 individual socks.
but now the bases are loaded, and the next draw of 2 socks guarantees that we have 4 real pairs of socks (either 3 and 1 and still 2 individual socks, or 3 and 2 pairs and 2 individual socks, or 2 and 2×1 and wherever the second sock goes, it does not matter, or any other combination where at least one of the individual socks have been combined to a pair.
so, we need
2+2+1+1 = 6 draws.
Which expression shows that 11 + 7 = 5 + 13? A. (5 + 6) + 7 = 5 + (6 + 7) B. 6 + 6 + 6 = 18 C. 5 + 9 + 4 = 6 + 7 + 5 D. (11 + 4) + 3 = (5 + 7) + 6 Please select the best answer from the choices provided A B C D
Answer:
A? maybe because its (5 +6)+7=5
hope it will help
Answer:
The answer is A.
Step-by-step explanation:
a+b=c+d
Given the expression,
11 + 7 = 5 + 13, where a= 11
b= 7
c= 5
d= 13
From the options, taking option A:
(5 + 6) + 7 = 5 + (6 + 7)
5 + 6= 11= a
7 = 7= b
5 = 5= c
6 + 7 = 13= d
Therefore from the comparison above, we can see that option A is the best form of expression that correctly interpretes the given expression
Which expression is equivalent to w + 8w + 2?
a. 11w
b. w + 10
c. 2 + 9w
d. -5w
Answer:
[tex] = 2 + w + 8w \\ = 2 + 9w[/tex]
option C is the solution
Answer:
C. 2+9w
Step-by-step explanation:
Combine Like Terms:
=w+8w+2
=(w+8w)+(2)
=9w+2
7th-grade question
5. Sara used 4 1/2 packs of pencils in the first 1/4 of the year. At what rate
is Sara using pencils?
A. 1 1/8 packs per year
B. 6 packs per year
C. 16 1/8 packs per year
D. 18 packs per year
Given mn, find the value of x
118%
x=62 bec 180-118=62.
Step-by-step explanation:
180=118-x
180-118=x
x=62
( 1/2 x 1/3) x 1/4 = 1/2 x (1/3 x 1/4)
A. Reflexive
B. Commutative
C. Associative
D. Distributive
Answer:
The answer is commutitve
How do I graph this line with slope of 1/3 passing through the point (-1, -1)
Answer: See attached
Step-by-step explanation:
A blueprint of a house shows a dining room wi an area of 7 square inches. If the blueprint' scale is 1 inch : 6 feet, what would be the act area of the dining room? 1
The Actual area of the dining room is: 252 square feet.
How to Find the Actual Area Using Scale?Given that the area of the house on a blue print = 7 square inches.
Scale of the blue print = 1 inch : 6 feet.
Therefore, we would have the following proportion:
Area on blue print/actual area = square of the scale
7/actual area = 1²/6²
7/actual area = 1/36
Actual area = (7)(36)
Actual area = 252 square feet.
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Answer: Actual area (252 square feet).
Explanation:
How to Find the Actual Area Using Scale?
Given that the area of the house on a blueprint = is 7 square inches.
The scale of the blueprint = is 1 inch: 6 feet.
Therefore, we would have the following proportion:
The area on the blueprint/actual area = square of the scale
7/actual area = 1²/6²
7/actual area = 1/36
Actual area = (7)(36)
Actual area = 252 square feet.
Hope it helps!Help with this Problem
Answer:
Step-by-step explanation:
not sure 6
I’ll give points + brainalist!!
Answer:
-8, -7, -5, -4, or 0
Step-by-step explanation:
[tex]\frac{q}{-4} \geq 2[/tex]
[tex]q\geq -8[/tex]
Therefore q has to be greater than or equal to -8.
So q has to be -8, -7, -5, -4, or 0 in the given values.
The equivalent inequality is [tex]q\geq -8[/tex].
If this was helpful pls give me brainliest <3
Divide each number by -4 and if it is greater than 2 then it is on the correct side! For example: -16 Divide it by -4 which is positive 4. And Positive 4 is greater than 2.
4 > 2 (THE REST OF THE ANSWERS I SOLVED LIKE THIS ARE BELOW)
✔ ❌
-16 -5
-9 -8
-12 -4
-11 -7
0
I TRIED VERY HARD AND WOULD LIKE BRAINLIEST 5 OR AT LEAST 4 STARS AND A CLICK ON THE THANKS!
1. Jon waits on tables and is paid $6.75an hour. In a 40-hour period, he earned $310.50 in tips. What were his total earnings?
Answer:
$617.25
Step-by-step explanation:
$617.25 Because, $310.50(tips) + $306.75(hourly wage)=$617.25
Answer:$580.50
Step-by-step explanation:
:)
I started golfing again recently and I've played 5 rounds of golf with the following scores: 92, 88, 85, 90, and 89. What score would I need the next time I play to have an average below 88.
The next score should by less than 84 to have an average below 88.
What is an average?The term average is the sum of all the numbers divided by the total number of values in the set.
Mathematically,
Average = Sum of the observations/number of observations
Now given that,
Scores = 92, 88, 85, 90, and 89
Rounds = 5
Let x be the score the score for next round or sixth round.
So, According to question,
Average < 88
So, Average = Sum of the scores/number of rounds
⇒ Average = (92 + 88 + 85 + 90 + 89 + x)/6
⇒ Average = (444 + x)/6
⇒ (444 + x)/6 < 88
⇒ (444 + x) < 528
⇒ x < 528 - 444
⇒ x < 84
Thus, the next score should by less than 84 to have an average below 88.
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6) What is 1.333... in fraction form?
Answer:
It would be 1333/1000.
A zoo orders food in bulk for its animals. They order enough fresh fruit to last 10 days, enough fresh vegetables for 7 days, and enough dried insects for 5 days. If they last ordered fresh fruit, fresh vegetables, and dried insects on January 1, in how many days will they need to order all three items on the same day?
Answer:
350
Step-by-step explanation:
Answer:
70 days
Step-by-step explanation:
Given that,
→ fresh fruit to last 10 days
→ fresh vegetables for 7 days
→ dried insects for 5 days
Then in how many days will they order all three items on the same day?
Then the LCM of 10, 7 & 5 is,
→ 2 × 5 × 7
→ 10 × 7 = 70
Hence, the answer is 70 days.