Given :
When price is $2 dollars he sells 2400 units .
When price is $8 dollars he sells 600 units .
To Find :
If x represents the price of trucks and y the number of items sold, write an equation for the demand curve.
Solution :
Two points are given :
[tex](x_1,y_1)=(2,2400)[/tex]
[tex](x_2,y_2)=(8,600)[/tex]
Now , slope is given by :
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{2400-600}{2-8}\\\\m=\dfrac{-1800}{6}\\\\m=-300[/tex]
Now , the equation of line containing these two points and slope -300 is :
[tex](y-y_1)=m(x-x_1)\\\\y-600=-300(x-8)\\\\y=-300x+2400+600\\\\y=-300x+3000[/tex]
Therefore , equation for the demand curve is [tex]y = -300x +3000[/tex] .
Hence , this is the required solution .
Solve the equation using the Properties of Equality.
Answer:
m = 11/36
Step-by-step explanation:
6/7 m - 1/7 = 5/ 42
Multiply each side by 42 to clear the fractions
42(6/7 m - 1/7) = 5/ 42 *42
36m - 6 = 5
Add 6 to each side
36m -6+6 = 5+6
36m = 11
Divide each side by 36
36m/36 = 11/36
m= 11/36
A zoo is creating a new fenced living area for its tortoises. The zookeeper estimates that they will need a space that is about 40 feet by 50 feet to accommodate the animals. Which type of formula should the zoo use to determine how much fencing they will need to construct the pen? a.) Volume b.) Perimeter c.) Profit d.) Area
Answer:
I'd use perimeter. Will determine how much feet of materials will be needed.
Answer:
Perimeter
Step-by-step explanation:
You're finding the distance around a two-dimensional shape.
After taxes, Alexandra's take home pay is 7 10 of her salary before taxes. Enter and solve an equation to find Alexandra's salary before taxes for the pay period that resulted in $378 of take-home pay. Let s represent your variable.
Answer:
$540
Step-by-step explanation:
Let s be Alexandria's salary before taxes.
Let t be her take-home after taxes = $378
The question says her take-home is 7/10 of her salary before taxes
So to calculate what her salary was before taxes:
s x (7/10) = $378
We divide both sides by 7/10
S = 378 ÷ 7/10
S = 378x10/7
S = 3780/7
S = 540
Therefore from the calculations above, her salary before taxes was $540
a die is thrown once find the probability of getting number 3
Answer:
0.5
Step-by-step explanation:
there are 6 sides the probability of getting 3 is 3/6=1/2=0.5
Answer as a fraction = 1/6
This is because there is one side labeled "3" out of 6 sides total.
If you need the decimal form, then that is approximately 1/6 = 0.167
Simplify 7(x + 3).
7x + 3
7x + 21
Ox+ 21
07x + 10
Answer:
The answer is 7x+21
Step-by-step explanation:
You just multiply 7 by both x and 3 but keep them separate
What is the opposite of 5.98
Answer:
[tex]\huge\boxed{-5.98}[/tex]
Step-by-step explanation:
The opposite of 5.98 is the negative one.
Since 5.98 is a positive integer, it's opposite would be the negative integer having a "-" sign.
So, the opposite of 5.98 is:
=> -5.98
Hi there!
~
An opposite number of n is the exact same number as n on the other side of the number line. The opposite of n = -n.
⇒ Since 5.98 is positive, it's opposite must be negative.
⇒ We multiply 5.98 by -1 to find the opposite:
Opposite of [tex]5.98 = -(5.98) = -5.98[/tex]
↓
∴Good luck∴
What is the 5th term in the following sequence:
2, 5, 11, 23...
Helpppp
Answer:The first few Thabit numbers are: 2, 5, 11, 23, 47, 95, 191, 383, 767, 1535, 3071, 6143, 12287, 24575, 49151, 98303, 196607, 393215, 786431, 1572863, ...
...
Thabit number.
Named after Thābit ibn Qurra
First terms 2, 5, 11, 23, 47, 191, 383, 6143, 786431
Largest known term 3×211,895,718 − 1
OEIS index A007505
Step-by-step explanation:
[tex]2(x + 7) + 10[/tex]
A. Two times the sum of x and seven plus ten
B. Two times the difference of x and seven plus ten
C. Two times x minus seven plus ten
D. Two times x plus the sum of seven and ten
Answer:
2(x+7)+10
A. Two times the sum of x and seven plus ten
B. Two times the difference of x and seven plus ten
C. Two times x minus seven plus ten
D. Two times x plus the sum of seven and ten ✓
[tex] \huge \purple {\tt {2(x + 7) + 10}} [/tex]
A. Two times the sum of x and seven plus ten
B. Two times the difference of x and seven plus ten
C. Two times x minus seven plus ten
D. Two times x plus the sum of seven and ten✓✓✓
PLEASE HELP ME! AND THANK YOU!
Answer:
Real Numbers, Rational Numbers, Integers
Step-by-step explanation:
A security guard uses 20 minutes of every hour to walk outside the school, leaving the remaining
40 minutes for monitoring inside the school. Write the ratio that represents the time the
security guard spends outside to the time spent inside.
Answer:
40/20, 40:20, 40 to 20
Step-by-step explanation:
20min/1hr
40min/1hr
Question order asks ratio from outside time to inside time so the 40 would come first. also, all the above are correct. You can write a ratio as a fraction, with a colon, or with the word to.
Evaluate the expression for y=17
y+15=
Answer: 32
Step-by-step explanation:
y = 17
and you are give the expression y + 15
so substitute the value of y into the expression and add them
17 + 15 = 32
Which of the following options have the same value as 20% of 45?
Answer:
[tex]B. \: \frac{1}{5} \cdot 45[/tex]
[tex]E.\: 0.2 \cdot 45[/tex]
[tex]D. \: \frac{20}{100}\cdot 45[/tex]
Step-by-step explanation:
% means /100
[tex]20\% = \frac{20}{100} \\\\20/100 =0.2\\= 0.2\cdot 45\\\\\frac{20}{100}=\frac{1}{5} \\\\= \frac{1}{5} \cdot 45[/tex]
Answer:
B, D, and E.
Step-by-step explanation:
20% is 20/100, or 0.2
so, if we put 20/100 instead of 20%, we get 20/100*45
the same goes for the rest of them. (remember, 1/5 is the same as 0.2)
please help me :((
Which ordered pair is a solution to the system of inequalities?
Answer: D (-3,5)
Step-by-step explanation:
Using both inequalities input the values for x and y to see if it fits the inequality .
y > - 2
x + y < 4
The first coordinates are (1,3) Where 3 is the y value and 1 is the x value.
3 > -2 so this works because 3 is greater than -2
4 < 4 This does not work because 4 is not greater than 4 .
So the first point is not a solution to the systems of inequalities.
Now try the second point.
(0,4)
4 > -2 4 is greater than -2 so it works for the first inequality.
0+ 4 < 4 0 plus 4 is 4 and 4 is not greater than 4 so the second points does not also work for the inequalities so it is not a solution.
Third point
(-2,-3)
-3 > -2 -3 is not greater than -2 so this means the points will not work for the system of inequalities.
Last point
(-3,5)
5 > -2 5 is indeed greater than -2 so it fits the first inequality now try the second one.
-3 + 5 < 4 -3 +5 is 2 and 2 is less than 4 so it does work for both inequalities so D is the answer.
541.3 x 3.9 what is the answer pls write with explanation
Answer:
2111.07
Step-by-step explanation:
541.3 ×
3.9
Multiply each number by the number above it and the result will appear
Answer:
2111.07
Step-by-step explanation:
hope this will help you
28mn/7n anmd 4m are these expressions equvialent
Answer:
yes; see below
Step-by-step explanation:
28mn / 7n
the n's cancel out
28m / 7
28/7 = 4
you are left with 4m
4m = 4m
A submarine is cruising at 25m below sea level. It descends 15m. What is the new depth?
Answer:
40m below sea level
Step-by-step explanation:
25m+15=40
Answer:
40 m below sea level
im assuming 25m+15m because the submarines decending
Point P is in the interior of ∠OZQ. If m∠OZQ = 125 and m∠OZP = 62, what is m∠PZQ?
Answer:
63°Step-by-step explanation:
If point P is in the interior of ∠OZQ, then ∠OZQ = ∠OZP+∠PZQ. Given m∠OZQ = 125 and m∠OZP = 62, to get m∠PZQ, we will substitute the value of the angles given into the expression above as shown;
∠OZQ = ∠OZP+∠PZQ.
125 = 62 + ∠PZQ.
subtract 62 from both sides;
125 - 62 = 62 + ∠PZQ -62
63 = ∠PZQ
Hence the angle m∠PZQ is 63°
XY has a length of 20 and contains a point Z in between. If XZ = -5x+1 and ZY = 3x+5, find ZY.
Answer:
10.25 or 10 and 1/4
Step-by-step explanation:
Answer:
10.25
Step-by-step explanation:
Assuming that XZ = 5x + 1 (not -5x + 1)
XY = XZ + ZY
20 = 5x + 1 + 3x + 5
20 = 8x + 6
14 = 8x
8x = 14
x = 14/8 = 1.75
ZY = 3x + 5
ZY = 3 * 1.75 + 5
ZY = 5.25 + 5
ZY = 10.25
2(x^2-7)+8=40 just answer pls
Answer:
x = +- sqrt 23
Step-by-step explanation:
positive and negative square root of 23.
Answer:
x=√ 23 and x=-√ 23
Step-by-step explanation:
2(x^2-7)+8=40
2x^2-6=40
2x^2=46
x^2=23
x=√ 23
x=-√23
Samantha has $48 to spend on used video games. Single player games cost $6 each and multi player games cost $12 each. What equation, in standard form, determines the number of single player games (x) and the number of multi player games (y) Samantha can buy?
Answer:
The equation is
6x + 12y = 48
Step-by-step explanation:
Standard form another way of writing a linear equation. It is in the form
Ax + By = C
Total amount with Samantha = $48
Single player games = $6 each
Multi player games = $12 each
Let
Number of Single player games = x
Number of Multi player games = y
The number of single player games (x) and the number of multi player games (y) Samantha can buy is
6x + 12y = 48
That is price × quantity of single player games + price × quantity of multi player games = Total amount with Samantha
Do 3 lines always, sometimes or never intersect at one point?
Answer:
Sometimes
Step-by-step explanation:
Three line sometimes intersect
16 of the 22 students in Mrs. Burnham's class passed a quiz. About what part of the students passed the quiz?
Answer: about 3/4
Step-by-step explanation:
Either guess it by looking at the two numbers, or do it mathematically:
( 100 / 22 ) x 16 = 72%
72% is about 75% or 3/4
Find f(−2) given that f(x)=2x2−3x+7.
Answer:
21.
Step-by-step explanation:
f(x) = 2x^2 - 3x + 7.
When x = -2,
f(-2) = 2(-2)^2 - 3(-2) + 7
= 2(4) - (-6) + 7
= 8 + 6 + 7
= 21.
Answer:
21
Step-by-step explanation:
So we have the function:
[tex]f(x)=2x^2-3x+7[/tex]
And we want to find f(-2).
To do so, substitute -2 for x. Thus:
[tex]f(-2)=2(-2)^2-3(-2)+7[/tex]
Square:
[tex]f(-2)=2(4)-3(-2)+7[/tex]
Multiply:
[tex]f(-2)=8+6+7[/tex]
Add:
[tex]f(-2)=21[/tex]
And we're done!
Vincent ran 24 laps on Monday. This is 66 and two-thirds percent of the maximum number of laps he has run in one day. What is the maximum number of laps Vincent has run in one day?
Number of Laps
33 and one-third percent
33 and one-third percent
33 and one-third percent
Answer:
36
Step-by-step explanation:
it just is just trust me its right
Answer:
36.
Step-by-step explanation:
I Took The Quiz (On Edge) and I Solved It and it happened to be 36. Hope This Helps :).
A trail map has a scale of 3 inches to 2 miles. On the map, a trail is
5 1/4 inches long.
How long is the actual trail?
A. 1 and 3/4 miles
B. 2 and 5/8 miles
C. 3 and 1/2 miles
D. 7 and 7/8 miles
Answer:
it is not c. that is what I know
Step-by-step explanation:
The length of the actual trail will be 3 and 1/2 miles. The correct option is C.
The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that a trail map has a scale of 3 inches to 2 miles. The length of the actual trail will be calculated as:-
3 inches = 2 miles
1 inch = 2 / 3 miles
5¹/₂ inches = 5¹/₂ x ( 2 / 3 )miles
5¹/₂ inches = 5.2 x ( 2 / 3 )
5¹/₂ inches = 3.5 miles = ( 2¹/₂) miles
Therefore, the length of the actual trail will be 3 and 1/2 miles. The correct option is C.
To know more about an expression follow
https://brainly.com/question/10724285
#SPJ2
Find 5 consecutive numbers whose sum is 65.
Answer:
11, 12, 13, 14 and 15.
Step-by-step explanation:
This is because these numbers are consecutive and add up to 65
PLEASE GIVE BRAINLIEST
Answer:
11 + 12 + 13 + 14 + 15 = 65
consecutive numbers are numbers that don't have gaps in between
Point S is the midpoint of AK. AS = 5x - 3, and AK = 9x + 9. What is the length of AS?
Choose Yes or No to tell whether the number is a
perfect cube.
a. 27
Yes
O No
b. 100
Yes
No
C. 125
Yes
No
d. 1,000
Yes
No
Answer:
A. Yes
B. No
C. Yes
D. Yes
Using the quadratic formula to solve x2 = 5 - X, what are the values of X?
-1 √21
2
-13 19
51-421
1119
2
Mark this and return
Save and Exit
Next
Submit
Answer:
The answer is
[tex]x = \frac{ - 1 + \sqrt{21} }{2} \: \: \: or \: \: \: x = \frac{ - 1 - \sqrt{21} }{2} [/tex]Step-by-step explanation:
x² + x - 5 = 0
Using the quadratic formula
That's
[tex]x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]From the question
a = 1 , b = 1 , c = - 5
Substitute the values into the above formula and solve
We have
[tex]x = \frac{ - 1\pm \sqrt{ {1}^{2} - 4(1)( - 5) } }{2(1)} \\ x = \frac{ - 1\pm \sqrt{1 + 20 } }{2} \\ x = \frac{ - 1\pm \sqrt{21} }{2} [/tex]We have the final answer as
[tex]x = \frac{ - 1 + \sqrt{21} }{2} \: \: \: or \: \: \: x = \frac{ - 1 - \sqrt{21} }{2} [/tex]Hope this helps you
help me with this please
Answer:
C. 7.5m
Step-by-step explanation:
[tex]8m \: up= 3m \: above \\ 12m \: up = x \: above[/tex]
Cross multiply
[tex]8x = 12 \times 3 \\ 8x = 36[/tex]
Divide both sides of the equation by 8
[tex] \frac{8x}{8} = \frac{36}{8} \\ x = 4.5 \\ 3 + 4.5 = 7.5m[/tex]