Answer: (a-7b)(a+8b)
Step-by-step explanation:
a² + ab - 56b²=
a² + 8ab -7ab - 56b²=
a(a+8b) -7b(a+8b)=(a-7b)(a+8b)
A rectangle has a length of 3x+ 1 and a width of 2x - 9 write an expression for the perimeter of the rectangle
Given the length and width, the expression for the perimeter of the rectangle is 10x - 16.
What is the expression for the perimeter of the rectangle?The perimeter of rectangle is expressed as;
P = 2( l + w )
Where l is length and w is width.
Given the data in the question;
Length l = 3x+ 1Width w = 2x - 9Plug the given values in the equation above
Perimeter = 2( l + w )
Perimeter = 2( (3x+ 1) + ( 2x - 9) )
We can go on and simplify.
Perimeter = 2( (3x+ 1) + ( 2x - 9) )
Perimeter = (6x+ 2) + (4x - 18)
Perimeter = 6x+ 2 + 4x - 18
Perimeter = 10x - 16
Given the length and width, the expression for the perimeter of the rectangle is 10x - 16.
Learn more about rectangles here: brainly.com/question/17043956
#SPJ1
What is the greatest common factor of 18 12 16
The greatest common factor of 18 12 16 is the number 2.
When the admission price for a baseball game was $4 per ticket, 50,000 tickets were sold. When the price was raised to $5, only 45,000 tickets were sold. Assume that the demand function is linear and that the variable and fixed costs for the ball park owners are $0.10 and $75,000 respectively.
The profit function is P(x) = ( - x² / 5000 ) + 13.9x - 75000.
50,000 baseball game tickets were sold at $4 per ticket.
When the price is raised to $5, then 45,000 tickets were sold.
The variable and fixed costs for the ballpark owners are $0.10 and $75,000 respectively.
Let's say x is the number of tickets sold, and P is the profit.
Then,
P = ax + b
At P = 4,
4 = (50000)a + b ---------(1)
At P = 5,
5 = (45000)a + b --------(2)
Subtracting (2) from (1),
4 - 5 = (50000)a + b - (45000)a - b
- 1 = 5000(a)
a = ( - 1/5000)
So if a = ( - 1/5000),
Then,
4 = (50000)a + b
4 = (50000)( - 1 / 5000 ) + b
4 = -10 + b
b = 14
Therefore,
p(x) = ( - x /5000) + 14
Now, the profit function is:
Profit = Revenue - Costs
P(x) = R(x) - C(x)
Now, R(x) = xp(x)
R(x) = x[ ( - x/5000) + 14]
R(x) = ( - x² / 5000 ) + 14x
The fixed cost is F(x) = $75000
Hence, the costs will be:
C(x) = 75000 + (0.10)x
Therefore the profit function is:
P(x) = R(x) - C(x)
P(x) = ( - x² / 5000 ) + 14x - 75000 - (0.10)x
P(x) = ( - x² / 5000 ) + 13.9x - 75000
Learn more about profit function here:
https://brainly.com/question/21497949
#SPJ9
The complete question is mentioned below:
When the admission price for a baseball game was $4 per ticket, 50,000 tickets were sold. When the price was raised to $5, only 45,000 tickets were sold. Assume that the demand function is linear and that the variable and fixed costs for the ballpark owners are $0.10 and $75,000 respectively.
Find the profit P as a function of x, the number of tickets sold
How many points are represented in the graph below? Enter a number or 'oo' if there are an infinite number
of points.
There are how many
points on the graph?
Answer:
Infinite
Step-by-step explanation:
The graph is continuous, so it passes through infinitely many points.
Ross has $2 and $5 notes.
There are 15 more $2-notes than $5-notes.
The total amount of $5-notes is $90 more than the total amount of $2-notes.
What is the total value of all the $5-notes that Ross has?
p.s. get the qn right i will mark u brainliest
By solving a system of equations we can conclude that ross has a total of $200 in $5-notes.
What is the total value of all the $5-notes that Ross has?
Let's define the variables:
x = number of $5-notes that Ross has.y = number of $2-notes that Ross has.We know that there are 15 more $2-notes than $5-notes, then:
y = x + 15
And the total amount of $5-notes is $90 more than the total amount of $2-notes.
x*5 = 90 + y*2
Then we have a system of equations:
y = x + 15
x*5 = 90 + y*2
Replacing the first equation into the second one we get:
x*5 = 90 + (x + 15)*2
Now we can solve this for x:
x*5 = 90 + x*2 + 30
5*x - x*2 = 90 + 30
3*x = 120
x = 120/3 = 40
x = 40
In this way, we conclude that Ross has 40 of the $5-notes, then the total value is:
40*$5 = $200
If you want to learn more about systems of equations:
https://brainly.com/question/13729904
#SPJ1
A rectangular piece of metal is 5 in. longer than it is wide. Squares with sides 1 in. long are cut from the four corners, and the
flaps are folded upward to form an open box. Which equation indicates that the volume of the box is 56 in.³?
The equation which shows the volume of rectangular box is w² + 5w - 56 = 0.
What is defined as the rectangle?A rectangle is a two-dimensional (2D) shape with opposite sides that are parallel as well as equal to each other and four right angles.
The breadth (width) of a rectangle is the shorter side, and the length is the longer side.
The metal's length is 5 inches longer than its width. However, we fold up 1-inch flaps on every side, resulting in a 1-inch box height and an 2-inch decrease in length and width (1 inches on each side). Because the length and width both decrease in the same amount, the length remains 5 inches longer than that of the width.Then, the equations are as follows:
l = w + 5
The height of the box will be 1 inch which is cut and folded upward.
vol = l x w x h = 56 in³
Substitute the value of l in the equation.
56 = (w + 5)(w)(1)
56 = w² + 5w
w² + 5w - 56 = 0
Therefore, the equation which represent the volume of the rectangular box on 56 in.³ is w² + 5w - 56 = 0.
To know more about the rectangle, here
https://brainly.com/question/24438517
#SPJ9
Graph g(x) = |x| − 3.
The graph shows an upward opening v-shaped graph with a vertex at negative 3 comma 0, which passes through negative 4 comma 1 and negative 2 comma 1.
The graph shows an upward opening v-shaped graph with a vertex at 3 comma 0, which passes through 2 comma 1 and 4 comma 1.
The graph shows an upward opening v-shaped graph with a vertex at 0 comma 3, which passes through negative 1 comma 4 and 1 comma 4.
The graph shows an upward opening v-shaped graph with a vertex at 0 comma negative 3, which passes through negative 1 comma negative 2 and 1 comma negative 2.
The graph of g(x) is gotten by translating the function f(x) = |x| down by 3 units to get to function g(x)
How to graph the equation of the function?The equation of the function is given as
g(x) = |x| - 3
The above function is an absolute value function.
The parent function of an absolute value function is
f(x) = |x|
This means that the function f(x) is translated to get to function g(x)
In this case, the function is f(x) is translated down by 3 units to get to function g(x)
So, the graph of g(x) is gotten by translating the function f(x) = |x| down by 3 units to get to function g(x)
See attachment for the graph of g(x)
Read more about transformation at
https://brainly.com/question/1548871
#SPJ1
Any help would be appreciated.
What is that for?
??????????????????????????????????????????????????????????????????????
help out plsssssssssssssss
Answer: as a decimal 1.6
as a fraction 8/5 hope this helps
Step-by-step explanation:
What is 9.06 divided by 6?
Answer:
9.06 ÷ 6 = 1.51
Hope this helps :)
Check:
1.51
× 6
-------
9.06
Move decimal 2 times to the left un 9.06 because in the number 1.51 there are 2 numbers behind the decimal.
I cannot do this help me to this
The corresponding angles of both triangles are not congruent to each other, therefore: B. ΔRST is not similar to ΔUVW.
What are Similar Triangles?If two triangles are similar to each other, their corresponding interior angles measures would be congruent to each other, while their corresponding side lengths would be proportional to each other.
Angle R = 55°
Angle T = 45°
Angle S = 180 - 55 - 45 = 80°.
Angle U = 55°
Angle V = 75°
Angle W = 180 - 55 - 75 = 50°
Thus, we can state that, the corresponding angles of both triangles are not congruent to each other, therefore: B. ΔRST is not similar to ΔUVW.
Learn more about similar triangles on:
https://brainly.com/question/14285697
#SPJ1
Julie got 21 of the 23 questions on her math test correct she got 29 of the 32 questions on her science test correct on which test did she get a higher score can you compare the fractions 21/23 and 29/32 by comparing 29 and 21 explain how can Julie compare her scores
Answer:
Math was higher
Step-by-step explanation:
Her math score percentage wise was 91 while science a 90 21 out of 23 is better than 29 out of 32
A game show airs on television five days per week. Each day, a prize is randomly placed behind one of two doors. The contestant wins the prize by selecting the correct door.
The probability that exactly 2(two) out of the 5(five) contestants win a prize is 31.25%.
What is probability?
Probability is the(one) branch of mathematics concerning numerical descriptions of how probable a (one) event is to do, or how likely it's that a(one) proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.The more advanced the probability of an event, the more likely it's that the event will do. A simple illustration is the tossing of a fair( unprejudiced) coin. Since the coin is fair, the two issues(" heads" and" tails") are both inversely probable; the probability of" heads" equals the probability of" tails"; and since no other issues are possible, the probability of either" heads" or" tails" is 1/2( which could also be written as 0.5 or 50).The probability that exactly 2(two) out of the 5(five) contestants win a price is given by,
P(x = 2)(two) = 5/16
This is equivalent (equal) to 31.25%.
Learn more about probability here: https://brainly.com/question/24756209
#SPJ9
to construct a rectangle you must have one side and :
(1) it’s opposite sides
(2) it’s adjacent sides
(3) two angles
(4) four angles
If u answer this question i will give brainlyest and 40 marks
Answer:
Adjacent sides.
Step-by-step explanation:
Answer:
To construct a rectangle, you must have the measurement of one side and it's adjacent side.
Step-by-step explanation:
to construct a rectangle you must have one side and :
(1) it’s opposite sides
(2) it’s adjacent sides
(3) two angles
(4) four angles
Connie and Sadie are having a conversation and are talking about how good looking Mark is. Sadie says to Connie, "Mark is SO hot!" The word "hot" in this phrase is an example of what type of meaning of the word?
Answer:
he is just so scrumptious
The word "hot" in this phrase is an example of the connotative meaning of the word.
What is a connotative word?A connotative word is a word that carries additional meanings or associations beyond its literal or denotative meaning.
These additional meanings are often subjective and depend on the individual's cultural, emotional, or personal associations with the word
We have,
Connotative meaning refers to the subjective, cultural, or emotional associations that a word carries beyond its literal definition.
In this context, "hot" is being used to express a positive and attractive quality of Mark, rather than referring to his actual temperature.
The connotative meaning of "hot" in this context is subjective and depends on the cultural and personal associations that people have with the word.
Thus,
The word "hot" in this phrase is an example of the connotative meaning of the word.
Learn more about connotative word here:
https://brainly.com/question/11944901
#SPJ2
Guided Practice #1
Damaya is baking pies. For every 2 cups of flour, she uses 3
cups of sugar. How many cups of sugar will she need if she
uses 12 cups of flour? Model your answer on the double
number lines below.
0
O.
G
E
Answer:
18 cups of sugar
Step-by-step explanation:
I don't see any answer choices in your post but assuming it she has to use 3 cups of sugar for every 2 cups of flour, then that would mean she has to use 3/2 cups of sugar for every 1 cup of flour.
So if she uses 12 cups of flour she will have to use (3/2) x 12 = 18 cups of sugar
Consider the following linear program.
Min 3A + 4B
s.t.
1A + 3B ≥ 9
1A + 1B ≥ 7
A, B ≥ 0
Answer:
Minimum z =22 at A =6, B=1
See the graph below variable A is on the horizontal axis and variable B on the vertical axis
Step-by-step explanation:
We can solve using the graphical method
Min z = 3A + 4B
s.t.
1A + 3B ≥ 9
1A + 1B ≥ 7
A, B ≥ 0
Draw two lines using the constraint equations
1A + 3B = 9
1A + 1B = 7
The feasible region for the inequality constraints is the region that satisfies all 4 constraints below
1A + 3B ≥ 9
1A + 1B ≥ 7
A, B ≥ 0
This is the heavily shaded region in the graph. The minimum will be at one of the corner points
There are three corner points on the graph
(0,7), (6,1) and (9,0)
Plug in these coordinate values with A being the first and B being second in the parentheses and see which set of values makes the objective function the minimum
Point (7,0) ==> z = 3(0) + 4(7) = 28
Point (6,1) ==> z = 3(6) + 4(1) = 22
Point (9,0) ==> z = 3(9)+4(0) = 27
Solve for x. 6x-10≤8 or 1/3x+6>12 PLEASE HELP and show work
The value of x in 1st equation is x ≤ 3 i.e. x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e. x ∈ (18,infinity)
Given two equations 1)6x-10<8 and 2) [tex]\frac{x}{3}[/tex]+6 > 12
Solving the above equations
1) 6x-10≤8
⇒6x ≤ 18
⇒X≤ 3
⇒x ≤ 3 i.e. x ∈ (-infinity,3]
2)[tex]\frac{x}{3}[/tex]+6 > 12
⇒[tex]\frac{x}{3}[/tex] > 6
⇒x>18
⇒ x > 18 i.e. x ∈ (18,infinity)
Therefore,The value of x in 1st equation is x ≤ 3 i.e. x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e. x ∈ (18,infinity)
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ9
What percent of the days were sunny?
Two adjacent angles are in the ratio 5 ratio 3 and they together form an angle of 128 degree find these angles
Answer:
The angles are 80° and 48°.==============================
Let the angles be x and y.
Their ratio is 5/3:
x/y = 5/3Their sum is 128:
x + y = 128Solve the system by substitution:
x = 5y/3x + y = 1285y/3 + y = 1288y/3 = 128y = 3*128/8y = 48Find x:
x = 128 - 48 = 80Solve the problem please.
∑ Hey, shadowwolf9764 ⊃
Answer:
x = - 7.5
Step-by-step explanation:
Given:
[tex]\frac{1}{5}x+\frac{1}{4}=\frac{1}{2}\left(x+5\right)[/tex]
Solution~:
[tex]\frac{1}{5}x+\frac{1}{4}=\frac{1}{2}\left(x+5\right)[/tex]
Distribute:
[tex]\frac{1}{5}x+\frac{1}{4}=\frac{1}{2}x+\frac{5}{2}[/tex]
Subtract 1/4 from both sides:
[tex]\frac{1}{5}x+\frac{1}{4}-\frac{1}{4}=\frac{1}{2}x+\frac{5}{2}-\frac{1}{4}[/tex]
[tex]\frac{1}{5}x=\frac{9}{4}+\frac{1}{2}x[/tex]
Subtract 1/2x from both sides:
[tex]\frac{1}{5}x-\frac{1}{2}x=\frac{9}{4}+\frac{1}{2}x-\frac{1}{2}x[/tex]
[tex]-\frac{3}{10}x=\frac{9}{4}[/tex]
Multiply both sides by 10:
[tex]10\left(-\frac{3}{10}x\right)=\frac{9\cdot \:10}{4}[/tex]
[tex]-3x=\frac{45}{2}[/tex]
Divide both sides by -3:
[tex]\frac{-3x}{-3}=\frac{\frac{45}{2}}{-3}[/tex]
x = -15/2
x = -7.5
xcookiex12
9/4/2022
#learnwithxcookiex12
62° 18’23” + 21° 47’57” =
Answer:
Note: Numbers are blocked in groups of two digits for convenience only. In using this table you can read numbers of any number of digits in any way you want.
Step-by-step explanation:
09/14/2022 9 ‑ 10 ‑ 20 ‑ 22 ‑ 52 25 3 $206 Million Roll
09/12/2022 6 ‑ 14 ‑ 16 ‑ 34 ‑ 66 25 3 $193 Million Roll
09/10/2022 38 ‑ 42 ‑ 56 ‑ 68 ‑ 69 4 2 $186 Million Roll
Marie is having trouble finding the answer to a math problem, so she asks her older brother for
help. He gives her a hint that the correct answer is a rational number. Assuming the hint is
accurate, which value is most likely the correct answer?
OA 1.4142135623...
OB. 2.7182818284..
OC 3.1415926535.
OD 4.1818181818...
The number 4.1818181818... is a rational number because the number is terminating. Then the correct option is D.
What is a rational number?If the value of a numerical expression is terminating then they are the rational number then they are called a rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
Let's check all the options, then we have
A 1.4142135623..., the number is an irrational number because the number is non-terminating.
B. 2.7182818284..., the number is an irrational number because the number is non-terminating.
C 3.1415926535..., the number is an irrational number because the number is non-terminating.
D 4.1818181818..., the number is a rational number because the number is terminating.
The number 4.1818181818... is a rational number because the number is terminating. Then the correct option is D.
More about the rational number link is given below.
https://brainly.com/question/9466779
#SPJ5
Find the slope of the line that passes through (10,8) and (-5,8). Enter the slope as a whole number, a fraction (a/b), or undefined.
Answer:
y=8
Step-by-step explanation:
Divide. Please help 10 points.
Answer:
The answer to the question is the third answer
Given f(x)=x²-3x+ 3, find the value(s) for x such that f(x) = 13
The solution set is
Answer:
putting values,
13*13-3*13+3
=169-39+3
=133
76,161,555 rounded to the nearest ten million
Answer:
80,000,000
Step-by-step explanation:
76,161,555 is higher then 75,000,000 so it must round up.
Answer: 80,000,000
Step-by-step explanation:
since it's the ten million place you look at place value behind which is the millions place you see if the number is above or below 5. For this instance, since 6 is larger or above 5 you would round up. So, instead of 76,161,555 it would be 80,000,000
Josie has a 1,364-page book to read over summer vacation. She wants to read the
same number of pages each day for 62 days. What is the total number of pages
Josie will need to read each day?
A. 28
B. 27
C. 22
D. 17
Does anyone know the answer to 0.038 ounces to mg? Please
Answer:
1,077.281879 mg is the answer
PLEASE HELP thank you
Answer:
I'm pretty sure the answer is 90
Step-by-step explanation:
27.7 rounded up is 28 and 2.8 rounded up is 3, and the product of those 2 numbers is 84 and 90 is the closest number so that should be the answer :)
Answer:
The answer is 90
Step-by-step explanation:
27.7 rounded up is 28 and 2.8 rounded up is 3 so 28 times 3 is 84 and the closest number to 84 is 90
