Answer: 16,250 units.
Step-by-step explanation:
This is a linear function which means that it takes the form of y = mx + c.
Y is the demand
X is the price
Find m.
= (Y₂ - Y₁) / (X₂ - X₁)
= (15,000 - 20,000) / (60 - 40)
= -250
Find c using substitution;
20,000 = -250 * 40 + c
20,000 = -10,000 + c
c = 20,000 + 10,000
c = 30,000
Linear function is;
y = -250x + 30,000
If selling price is $55;
y = -250 * 55 + 30,000
y = 16,250 units.
The demand is 17000 units when the selling price is $55 per unit
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let Q represent the demand and P represent the selling price.
20000 units for selling price of $40, hence (40, 20000). 16000 units for selling price of $60, hence (60, 16000).
Hence:
[tex]Q-Q_1=\frac{Q_2-Q_1}{P_2-P_1}(P-P_1)\\\\Q-20000=\frac{16000-20000}{60-40}(P-40)\\\\Q=-200P+28000[/tex]
For P = 55 unit:
W
Q = -200(55) + 28000 = 17000
The demand is 17000 units when the selling price is $55 per unit
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Whats 100 divided by 25
4 is the quotient of 100 divided by 25.
Here, we have,
given that,
100 divided by 25
now, we have to find the quotient of 100 divided by 25.
so, we get,
100 ÷ 25
now, using the rule of division,
so, we get,
100/25
=> 20/5
=> 4/1
=> 4
Hence, 4 is the quotient of 100 divided by 25.
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Ezra has two weeks to sell popcorn to earn money for camp. For each unit of popcorn that he sells, Ezra will earn $5. He wants to earn at least $250
. During the first week he earned $105.
How many units of popcorn must Ezra sell in the second week to earn at least $250 in the two weeks combined?
The number of units that needs to be sold to earn at least $250 is 20.
What is inequality?
It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
The minimum amount that needs to be earned = $250
One unit cost = $5
The amount earned in the first week = $105
Number of units = x
The number of units to sell in the second week.
150 + 5x ≥ 250
5x ≥ 250 -150
5x ≥ 100
x ≥ 20
Thus,
20 units need to be sold to earn at least $250.
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A French class has a total of 26 students. The number of females is 6 less than the number of males. How many males and how many females are in the class?
Answer:
Step-by-step explain:
total-females=males
26-6=20
there are 20 males in the class.
I got subtraction because it says less females.
Please help!!!!
Which equation is represented by the graph below?
a.) y = e^x +5
b.) y = e^x +4
c.) y = ln x + 4
d.) y = ln x + 5
Answer:
B
Step-by-step explanation:
Mr. Roy was creating bundles for his classes. He had 20 pencils, 80 pens and 55 markers.
He wanted each bundle to contain the same number of pencils, pens and markers.
a) What is the largest number of bundles he could create without any left over?
Answer:
The largest number of bundles he could create without any left over is 5.
Each bundle to contain 4 pencils, 16 pens and 11 markers
Step-by-step explanation:
Pencils = 20
Pens = 80
Markers = 55
a) What is the largest number of bundles he could create without any left over?
Find the highest common multiple of 20, 80 and 55
20 = 1, 2, 4, 5, 10, 20
80 = 1, 2, 4, 5, 8, 10, 16, 20......
55 = 1, 5, 11, 55
The highest common multiple of 20, 80 and 50 is 5
Pencils = 20 / 5
= 4
Pens = 80 / 5
= 16
Markers = 55 / 5
= 11
The largest number of bundles he could create without any left over is 5.
Each bundle to contain 4 pencils, 16 pens and 11 markers
Solve for x
(x+3)^2
A. x^2 + 3x + 2
B. 2x^2 + 3x + 2
C. x^2 + 6x + 2
D. x^2 + 6x + 9
Answer:
D. x²+6x+9
Step-by-step explanation:
—Math(x + 3)² = (x + 3)(x + 3)
= x² + 3x + 3x + 9
= x² + 6x + 9
follow my account ^^
Answer:
D.) just took the Unit Session
Step-by-step explanation:
Can you help me with this plzzzzzzz
Answer:
E: x = 13
F: x = 1.5 or 3/2
Step-by-step explanation:
This is for E:
x + 2/3 = 5
All you do is first multiply 5 * 3
and you will get 15
x + 2 = 15
Then you subtract from 15
15 - 2 = 13
So x = 13
This is for F:
10(x - 1) = 5
So all you do is distribute the 100 with x -1
10 * x = 100x
10 * -1 = 100
10x - 10 = 5
Then you add 10 to 15 because the number is -10
5 + 10 = 15
10x = 15
Now you divide by 10 on both sides
10x/10 = 15/10
10x/10 = x
15/10 = 3/2
So the answer for F is 3/2 or 1.5
ty bought a notebook for $3 and pencils $2 if both items were on 25% off what did tyler spend
Answer: 1.25$
Step-by-step explanation:
25% of 5 dollars (total) is 1.25
What is the rate of change in the table for 2.6(x-7)^2 + 16, please.
Answer:
the rate of change is negative 0.93 since x is 1 and u subtract 0.07 u get my answer. trust me im learning this im right
Step-by-step explanation:
What is the slope of the line that passes through the points -16,0 and -8,2?
Answer:
1/4
Step-by-step explanation:
0 - 2 = -2
-16 - -8 = -8
-2/-8 = 1/4
What is Value of x in the equation 3x+9/2 = x-4/3
Answer: Exact Form:
x= −35/12
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
ASAP PLZ HELP ME WILL MARK AS BRAINLIST IF RIGHT ANSWER
Answer:
28
Step-by-step explanation:
AB
4(7)=28
Answer:
3/4 BC or 3/2 CD
Step-by-step explanation:
AB = 3
BC = 4
4 x 3/4 = 3
CD = 2
2 x 3/2 = 3
WRITE AN EQUATION 331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?
Answer:
probably 331-7=6x
Step-by-step explanation:
cause you take away 7 and have 324, then divide by 6 and end up with 54 soooo
What is the common denominator of 6/7 - 1/3
What is the common denominator of 3/4 + 1/3
What is the common denominator of 5 2/4 + 6 4/10
What is the common denominator of 5 1/2 - 4 1/3
Answer:
its the 3 to second work so 1403424555
Step-by-step explanation:
ik it cus im smart
Answer:
A. 21 B. 12 C. 20 D. 6
Step-by-step explanation:
please help me i need help asap
Answer:
-6
Step-by-step explanation:
Add the positive numbers first which is nine then add a negative like -8 and you get then add -7 which is -6
Grace was driving down a road and after 4 hours she had traveled 66 miles. At this speed, how many miles could Grace travel in 8 hours?
Fill out the table of equivalent ratios until you have found the value of x.
Answer:
132 miles
Step-by-step explanation:
4 is half of 8 so you just have to multiple everything by 2 to get your answer
Answer:
132
Step-by-step explanation:
Since in four hours you can travel 66 miles, 8 hours would be 66x2, which is 132.
1hour=16.5
2hour=33
3hour=49.5
4hour=66
5hour=82.5
6hour=99
7hour=115.5
8hour=132
PLEASE HELP FAST ITS MULTIPLE CHOICE!
Joey bought 8 books. Some books cost $12 each the rest cost $18 each he spent a total of 108 which of the following system of linear equation could represent the given situation?
Answer: It's A
Step-by-step explanation: X + Y is the total books, which should equal 8. Some books treat them as X, while the rest treat them as Y. You end up with 12x+18y=108.
franklin is thinking of two numbers. the sum of the two numbers is 40.the first number x, is 11 less than twice the second number, y. which system of equations can be used to find the two numbers? A) xy=40, x=2y-11 B) x+y=40, x=11-2y C) x-y=40, x=11-y D)x+y=40, x=2y-11
Answer: d) x+y =40
x=2y -11
Step-by-step explanation:
If f(x)=3x^5+2x^4+5, then what is the remainder when f(x) is divided by x−1?
Answer:
The remainder is 10
Step-by-step explanation:
The find the remainder when f(x) divided by g(x), find the value of x when g(x) = 0, then substitute it in f to find the value of the remainder
∵ f(x) = 3[tex]x^{5}[/tex] + 2[tex]x^{4}[/tex] + 5
∵ f(x) is divided by x - 1
∴ g(x) = x - 1
→ Equate g(x) by 0 to find x
∵ g(x) = 0
∴ x - 1 = 0
→ Add 1 to both sides
∵ x - 1 + 1 = 0 + 1
∴ x = 1
→ Substitute x in f by 1
∵ f(1) = 3[tex](1)^{5}[/tex] + 2[tex](1)^{4}[/tex] + 5
∴ f(1) = 3(1) + 2(1) + 5
∴ f(1) = 3 + 2 + 5
∴ f(1) = 10
∵ The remainder is the value of f(1)
∴ The remainder is 10
PLEASE HELP
Complete the proofs below using the most appropriate method, SSS or SAS.
7. Given: AM = CP, CM = GP, C is the midpoint of AG
Prove: A4CM = ACGP
G
M
Statements
Reasons
1.
1.
2.
2.
3.
3.
4.
4.
5.
5.
answer
AM= CP-given
CM=GP-given
C is the midpoint of AG-given
AC=CG- definition of midpoint
ACM=CGP- SSS
The complete proof is as follows:
[tex]\mathbf{AM = CP}[/tex] -- Given[tex]\mathbf{CM = GP}[/tex] -- GivenC is the midpoint of AG -- Given[tex]\mathbf{AC \cong CG}[/tex] --- Definition of Midpoint[tex]\mathbf{\triangle ACM \cong \triangle CGP}[/tex] ---- Congruent by SSSThe given parameters are:
[tex]\mathbf{AM = CP}[/tex] [tex]\mathbf{CM = GP}[/tex] C is the midpoint of AGThis means that, the above statements would represent the first three blanks, and their respective reason is "Given"
Because of (3), above
4. [tex]\mathbf{AC \cong CG}[/tex] --- midpoint definition
(1), (2) and (4) imply that:
The three sides of both triangles are congruent by SSS
Hence, the last statement would be:
[tex]\mathbf{\triangle ACM \cong \triangle CGP}[/tex] ---- Congruent by SSS
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Can yall help me? I will give out brainliest!!!
Can yall find the area of the shape? I'm so confused. Please HELP
Answer:
The total area is 29 cm2
Step-by-step explanation:
The area of the first rectangle (left side) is 4 * 2 = 8
Second rectangle ( right side ) 4 * 3 = 12
The triangle is 3 * (4 + 2) * 1/ 2 = 9
Total area is 29 cm2
The Statue of Liberty, Grand Canyon, and Empire State Building are all examples of __________ good.
A.
private
B.
public
C.
industry
D.
consumer
Please select the best answer from the choices provided
A
B
C
D
Answer:
its c im pretty sure
Step-by-step explanation:
i got it right on my quiz
20 POINTS! PLATO HELP! NUTRITION CLASS!
The Egyptians invented _____ , which they used to store ______ for many years.
Storage silos
Wooden baskets
Glass bottles
Wines
Grains
Vegtables
What value of x will make x to the 2 =9 true
A. 3
B. 3 and -3
C. 81 and -81
D. Square root 3
HELP ASAP!!!
When completing an autobiography template, you should never include which of the following? Accomplishment, Experiences, Family roots, Fictional dates
Answer:
Hello The answer is D
Step-by-step explanation:
Why would you submit FICTIONAL dates for a autobiography about
your REAL life.
Meghan reduced the size of a rectangle to a height of 2 inches. What is the new width if it was originally 24 inches wide and 12 inches tall?
Answer:
Step-by-step explanation:
2/12 = 1/6
24 * 1/6 = 4
or
12/24 = 2/x
12 x = 48
x = 4
or the original width was twice the length
twice 2 is 4
Which of these is an example of driving at an average rate of 20 miles per hour?
A. driving 10 miles in 2 hours.
B. driving 15 miles in 5 hours.
C. driving 25 miles in 5 hours.
D. driving 40 miles in 2 hours.
Answer:
D
Step-by-step explanation:
40/2=20
Answer:
give the other guy the thing
Step-by-step explanation:
Ryan goes the mall with his friends after school. At the mall he purchases four pairs of basketball shorts and a pair of sneakers for $100 if he spends a total of $200 how much money did he spend on each pair of basketball shorts?
Answer:
$25.00
Step-by-step explanation:
200-100=100
100/4=25
Z+3.74➗-2=-1.84
Please help it’s a test for math
your answer is Z equals 3.71
Sue bought a bunch of snacks that each cost $2.50. Let y represent the total cost and x represent the number of snacks she bought. Pick which equation represents the proportional relationship between the total cost and the number of snacks she bought.
a. 2.50(y)=x
b. 2.50+y=x
c. 2.50(x)=y
d. 2.50+x=y
Answer=__________
Please I need this now!!!!!!!!!!!!!
Date : 12/11/2020
Answer:
the answer is letter c 2.50(x)=y