Answer:it’s C
Step-by-step explanation:
The system of inequalities can be used to determine, if The selling price of model A was less than $8,000, The selling price of model B was at most $10,000, are x < 8000 × 0.88, and y < 1000 × 0.85.
What is the selling price?The selling price of a good or service is the final cost to the seller, or what the buyer actually pays. A commodity or service in a specific amount, weight, or measurement can be exchanged.
It is one of the most crucial things for a business to decide. It is significant since it determines whether it will survive. Sales of a product are directly impacted by its price.
Given:
The selling price of model A was less than $8,000,
The selling price of model B was at most $10,000,
The price of model A is decreasing at a rate of 12% each year,
The price of model B is decreasing at a rate of 15% each year,
Write the inequality as shown below,
Assume the selling price of A is x,
x < 8000
Assume the selling price of B is y,
y < 1000
The decreased selling price of A,
x < 8000 × (1 - 0.12) = x < 8000 × 0.88
The decreased selling price of B,
y < 1000 × (1 - 0.15) = y < 1000 × 0.85
To know more about the selling price:
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Find f(-3) if f(x) = x^2
6
-9
9
-6
Answer:
B. -9
Step-by-step explanation:
The equation would be f(-3)=-3^2
3*3 is 9
Add the - back on, and you get -9
I hope this helps!
PLEASE HELP !!!!! Which type of conic section is described by the following equation?
(y - 3)2/4^2- (x+2)^2/6^2=1
A. Circle
B. Parabola that opens up
C. Parabola that opens down
U O
D. Hyperbola opening left and right
E. Ellipse
E Hyperbola opening up and dow
Answer:
F
Step-by-step explanation:I just took the test
How would the expression x2 -9 be rewritten using Difference of Squares?
Answer:
(x + 3) (x - 3)
Step-by-step explanation:
[tex]a^{2} -b^2=(a+b)(a-b)[/tex] where a = x and b = 3
x^2 - 3^2 =
x^2 - 9 =
(x + 3)
(x - 3)
Answer:
Step-by-step explanation:
x²-9=x²-3²
What expression represents the product of b and 34
Answer:
b + 24
Step-by-step explanation:
b and 24 would be b + 24
A larger number is double the sum of 3 and a smaller number. The larger number is 2 less than 3 times the smaller
number. If y represents the larger number and x represents the smaller number, which equations model the situation?
Check all that apply.
Oy - 3x-2
3x-y = 2
3x-y=-2
y=2-3x
Oy=2(x+3)
Answer:
not sure what the O is there for?
if it is zero then Oy would make Oy=2(x+3) not correct
3x-y = 2
y=2(x+3)
Step-by-step explanation:
)
At 2:48, what is the degree measure of the smaller angle formed by the hour and minute hands of a 12 hour clock?
Answer:
The smaller angle will be "156°".
Step-by-step explanation:
According to the question,
Before 12, the minute hand at 48 minutes:
= [tex]60-48[/tex]
= [tex]12[/tex] (minutes to 12)
So,
= [tex]12 \ minutes+14 \ minutes[/tex]
= [tex]26 \ minutes[/tex]
hence,
The smaller angle will be:
= [tex]26\times 6^{\circ} \ each[/tex]
= [tex]156^{\circ}[/tex]
Answer:
The angle is 204 degree.
Step-by-step explanation:
The angle turned by minute hand in 1 minute is 6 degree
The angle turned by the hour hand in 1 hour is
For the hour hand :
The angle turned in 1 hour = 360/12 = 30degree
At 2 : 00 , the angle covered = 30 x 2 = 60 degree
In each minute the hour hand moves = 30 degrees / hour x 1 hour/60 min
= 1/2 degree
So at 2: 48 the hour hand is at 2*30 + 48 * 1/2 = 84 degrees
For the minute hand:
In each minute it turns = 6 degrees
So, at 48 minutes the minute hand is at 48 x 6 = 288 degrees
So, the angle between them is 288 - 84 = 204 degrees
The parallel chord lie on opposite sides of the center of a circle of radius 13cm. Their lengths are 10cm and 24cm respectively. What is the between the chords
We are required to find the distance between both chords.
Answer:
17 cm
Step-by-step explanation:
The two chords are parallel to each other.
This means that a perpendicular line drawn from the centre of the circle will divide both of them into 2 equal sides.
This is depicted in the image attached.
From the Image,the diagonal drawn from one end of either chord through the centre will form the hypotenuse side of either chords.
Thus, using pythagoras theorem, we have for the chord that has a length of 10 cm. Perpendicular distance from centre of chord to centre of circle is;
d = √(13² - 5²)
d = √144
d = 12
Similarly, for chord with length = 24 cm, we have;
d' = √(13² - 12²)
d' = √25
d' = 5
Therefore, distance between chords = d + d' = 12 + 5 = 17 cm
Please someone quick answer this!!!
To find a probability you take the specific parameters divided by the entire set of possibilities.
For example, the specific parameter here is that the drink must be a medium, (no matter the temperature). So, we would add 48 and 12 to get 60.
And we know that the total number of orders is 100.
So, we should divide 60 by 100, and we get 60%.
(r-3)(r-1)
Help me please!!!
Answer:
= r²−4r+3
Step-by-step explanation:
(r - 3) (r - 1)
(r x r) + (r x -1) + (-3 x r) + (-3 x -1)
r² + - r - 3r + 3
= r²−4r+3
I have a goal of getting exactly $100. But I have to pay a tax of 10%. How much money do I need to get in order to have exactly $100 after paying tax? Explain your answer please.
=======================================================
Explanation:
Let's say you earn x dollars.
You pay 10% tax on that, which means you pay 0.10x dollars.
This would drop to x-0.10x = 0.90x which is the amount earned after tax.
So you pay 10% of what you earn, and keep 90% of the rest.
Set this equal to the target $100 you want and solve for x.
0.90x = 100
x = 100/0.90
x = 111.11
Notice that 10% of this is 0.10*x = 0.10*111.11 = 1.11 when rounding to the nearest penny. So you'll pay $1.11 in tax. Therefore, you'd have x-0.10x = 111.11 - 1.11 = 100 left over. So the answer checks out.
luis tiene 3 años más que
Ines. La edad de Antonio
suma de las edades de ambos.
¿ Cuales Son las edades de Luis
e Ine's si antonio tiene 15 años?
Answer:
NMHGJMHBNKJ6T76 5745
Step-by-step explanation:
7657457657776767
Simplify the expression. (6)8 + (6)3
Answer:
66
Step-by-step explanation:
Use the PEMDAS order. Multiplication comes before addition so it simplifies to 6(8)+(6)3
=48+18
=66
Find the area of the parallelogram
[tex]\sqrt{x} 8xyx^{2}[/tex]
Answer:
nom nom
Step-by-step explanation:
nom nommy nom nom
Based on the table below, what is the relationship between cups and tablespoons?
Answer:
the answer is A
Step-by-step explanation:
At a party there are 30 students over the age of 21 and 15 under the age of 21. You select a representative sample of 5to interview about attitude towards alcohol. Explain your method and select ypur sample
Answer:
Stratified sampling
Step-by-step explanation:
Given
[tex]30 \to 21\ and\ above[/tex]
[tex]15 \to Under\ 21[/tex]
Required
The type of sampling method
From the question, we understand that, the sample are divided into two categories. This means that each person in each person do not have the same probability of being selected.
Such method is a stratified sampling
For every 19 litres of petrol a car can run for 50 km . How much petrol do you need ( to 1 DP ) to ensure the car has enough petrol of a trip that is 130 km
Answer:
49.4 liters
Step-by-step explanation:
we have the basic ratio between liters of petrol (gasoline) and distance driven :
19/50
now, the same ratio has to apply, when we talk about 130 km instead of just 50.
so,
19/50 = x/130
x = 130×19/50 = 13×19/5 = 49.4 liters
if I may add, this is a very bad or at least very, very big car based on today's standards ...
Plz help me I don’t understand
Answer:
Step-by-step explanation:
Take two points on the line and find the slope.
(1 , 2) ; (4 , 4)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\[/tex]
[tex]=\frac{4-2}{4-1}\\\\=\frac{2}{3}[/tex]
m = 2/3 & (1 , 2)
Slope point form : y - y1 = m(x-x1)
[tex]y - 2 = \frac{2}{3}*(x - 1)\\\\y - 2 =\frac{2}{3}x - \frac{2}{3}\\\\y =\frac{2}{3}x-\frac{2}{3}+2\\\\y = \frac{2}{3}x-\frac{2}{3}+\frac{2*3}{1*3}\\\\y=\frac{2}{3}x-\frac{2}{3}+\frac{6}{3}\\\\y=\frac{2}{3}x+\frac{4}{3}\\\\Multiply \ equation \ by \ 3\\\\3y = 2x + 4\\\\2x - 3y + 4 = 0[/tex]
Solve the attachment...
Answer:
2 ( Option A )
Step-by-step explanation:
The given integral to us is ,
[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]
Here 5 is a constant so it can come out . So that,
[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]
Now we can write √x as ,
[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]
Simplify ,
[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]
By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,
[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]
On simplifying we will get ,
[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]
Prove that the expression A + B - C is equivalent to the expression C - B - A if A = 2x - 1, B = 3x + 1 and C = 5x.
Answer:
both are equal is 0
Step-by-step explanation:
After substituting, the answer is 0 to both
find missing side of triangle, help!
Answer:
2√10 km
Step-by-step explanation:
By Pythagoras theorem,
x^2 + 9^2 = 11^2
x^2 + 81 = 121
x^2 = 121 - 81
x^2 = 40
= 4 x 10
x^2 = 2^2 x 10
x = 2√10 km
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x ≈ 39.3°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{KL}{KM}[/tex] = [tex]\frac{6.5}{8.4}[/tex] , then
x = [tex]cos^{-1}[/tex] ([tex]\frac{6.5}{8.4}[/tex] ) ≈ 39.3° ( to the nearest tenth )
Step-by-step explanation:
Cos theta =Base/hypotenuse
Base=KL= 6.5
Hypotenuse=KM=8.4
Cos X=
[tex] \frac{6.5}{8.4} \\ [/tex]
X=
[tex] {cos}^{ - 1} \frac{6.5}{8.4} [/tex]
X=39.30 (2decimal)
Brainliest please~
PLZ HELP
Which statement is an example of the reflexive property of congruence?
40 points if helped, question is in the picture
Step-by-step explanation:
0.484848 =x
x=0.48-------1
100x=48.48-----2
2-1
100x-x =48.48-0.48
99x= 48
x =48/99
[tex]x = \frac{48}{99} \\ x= \frac{48 \div 3}{99 \div 3} \\ x = \frac{16}{33} [/tex]
Use the zero product property to find the solutions to the equation x2 + 12 = 7x.
x = –4 or x = 3
x = –4 or x = –3
x = –3 or x = 4
x = 3 or x = 4
Answer:
In a product like:
a*b = 0
says that one of the two terms (or both) must be zero.
Here we have our equation:
x^2 + 12 = 7x
x^2 + 12 - 7x = 0
Let's try to find an equation like:
(x - a)*(x - b) such that:
(x - a)*(x - b) = x^2 + 12 - 7x
we get:
x^2 - a*x - b*x -a*-b = x^2 - 7x + 12
subtracting x^2 in both sides we get:
-(a + b)*x + a*b = -7x + 12
from this, we must have:
-(a + b) = -7
a*b = 12
from the first one, we can see that both a and b must be positive.
Then we only care for the option with positive values, which is x =3 or x = 4
replacing these in both equations, we get:
-(3 + 4) = -7
3*4 = 12
Both of these equations are true, then we can write our quadratic equation as:
(x - 3)*(x - 4) = x^2 + 12 - 7x
The correct option is the last one.
Answer:
d
Step-by-step explanation:
ratio of 55 paise is to 1 rupees
Answer:
You have to equal the unit first,
as 1 Rupee = 100 paise,
so,
55paise: 100paise,
= 11:20
I hope it hepled : )
David is now 4 years more than twice the age of Henry. If Henry will be 18 in 3 years, how old was David 2 years ago?
Answer:
i think its 10.5
Step-by-step explanation:
Answer:
David was 32 two years ago
Step-by-step explanation:
D = 2H + 4
H = 15
D = 30+4
D = 34
David was 32 two years ago
A boy who is 1.4m tall, sighted the top of a flag pole at an angle of elevation of 36°. if the boy is 9.5m away from the flag pole, calculate the height of the flag pole
Answer:
The height of flag pole=8.3m
Step-by-step explanation:
We are given that
Height of boy=1.4 m
[tex]\theta=36^{\circ}[/tex]
Distance of boy from the flag pole=9.5 m
We have to find the height of the flag pole.
BCDE is a rectangle
BC=ED=1.4 m
CD=BE=9.5 m
In triangle ABE
[tex]\frac{AB}{BE}=tan36^{\circ}[/tex]
Using the formula
[tex]tan\theta=\frac{Perpendicular\;side}{base}[/tex]
[tex]\frac{AB}{9.5}=tan 36^{\circ}[/tex]
[tex]AB=9.5tan36^{\circ}[/tex]
AB=6.90 m
Height of flag pole=AB+BC=6.90+1.4
Height of flag pole=8.3m
Which of the following expressions represents the distance between -3.9 and -4.7
Answer:
None of the above
Step-by-step explanation:
Distance is the difference between two positions. That is x1- x2 Since both numbers were negative, you would want the absolute value of one plus the other, because subtracting a negative results in a positive. For this example the distance would look more like this:
| -4.7 - ( -3.9 ) | = .8
A cinema is doing a promotion to celebrate their 50th anniversary for 1 week. They give
away a free drink to every 98th customer, a free bag of popcorn to every 112th customer and
a free cinema ticket to every 224th customer. Which lucky customer will be the first to
receive all 3 items?
Answer:
1,568 customer
Step-by-step explanation:
Find the lowest common multiple of 98, 112, and 224
98 = 98, 196, 294, 392, 490, 588, 686, 784, 882, 980, 1078, 1176, 1274, 1372, 1470, 1568, 1666
112 = 112, 224, 336, 448, 560, 672, 784, 896, 1008, 1120, 1232, 1344, 1456, 1568, 1680, 1792, 1904
224 = 224, 448, 672, 896, 1120, 1344, 1568, 1792, 2016, 2240
The lowest common multiple of 98, 112, and 224 is 1568
Therefore, the 1,568th customer will be the first to receive all 3 iitem