Answer:
a) $420 b) $399
Step-by-step explanation:
a) $600 = 100%
$60 = 10%
$60 times 3 gives 30% = $180
$600 - $180 = $420
b) $420 = 100%
$42 = 10%
$21 = 5%
this means, they profitted by $21.
so $420 - $21 = $399
therefore, $399 is the cost price
Write a real-world problem where you would
want to compare rates of change for two different functions.
Answer and Step-by-step explanation:
Let us assume two boys are jogging.
Boy 1 jogging speed is 10 kilometres per hour
Boy 2 jogging speed is 20 kilometres per hour
This can be represented in terms of distance, d and time, t. When we do this, we have:
d = 10t boy 1
d = 20t boy 2
This implies that boy 1 rate of change is 10 kilometers for every one hour and boy 2 is 20 kilometers for every 1 hour.
From here, we can conclude that the rate of change of boy 2 is twice the rate of change of boy 1.
In the equation a = v/r, if a is plotted against v then what will be the shape of the graph? How about if a is plotted against r?
9514 1404 393
Answer:
a) a straight line
b) a hyperbola
Step-by-step explanation:
a) When a = v/r is plotted against v as the independent variable, it will be a straight line through the origin with a slope of 1/r.
__
b) When a = v/r is plotted against r as the independent variable, it will be a hyperbola with a "constant of proportionality" of v. Here, a is inversely proportional to r.
will give brainliest
Answer:
B
Step-by-step explanation:
We can determine that it is sin, not cos, because the equation goes through the origin (0, 0).
The amplitude is 2 and since the amplitude is a for an equation in the form of asinx, the equation must have 2sinx.
Finally, the period is pi. The regular period of sinx is 2pi, so inside of the si, x must be multiplied by 2, which gets us to 2sin(2x).
I hope this helps! :)
Four laps around the track is equal to one mile. It takes Taylor 8 minutes to run 3 laps.
MAP TESTING HELP
How many minutes would it take Taylor to run 6 miles?
A. 16 minutes
B. 36 minutes
C. 48 minutes
D. 64 minutes
Answer:
i think 48 is the correct answer
Maria bought 5 birthday cards from a store. The price of each card was the same. After she bought the cards, her account balance showed a change of -$15.95. What would
have been the change to Marta's account balance had she only bought 1 card from the store?
$3.19
B -$3.19
C $4.50
D -$4.50
Answer:
B
Step-by-step explanation:
If the charge for five cards was -15.95, the charge for one card is -3.19 because (-15.95)/5 = -3.19
answer pleasee been stuck on these type of problems all night! :)
Answer:
ok
[tex]\pi = \frac{22}{7} or \: 3.142[/tex]
Step-by-step explanation:
[tex]c = 2\pi \: r \\ c = 2 \times \frac{22}{7} \times 15 \\ 94.28[/tex]
Answer:
C = 90 units²
Step-by-step explanation:
Since we are using 3 for π, simply substitute the information into the equation:
C = 2(3)(15)
C = 90 units²
The temperatures of Charleston, South Carolina on May 3rd are recorded in the table below. Determine the equation that models this data.
Answer:
Is there more of the problem i dont see the what y and x are equivalent to
Step-by-step explanation:
Identify the solution found in Quadrant IV. Express your answer in the form (x, y) where x and y are both integers.
(A) (-1, -7)
(B) (0,1)
(C) (2, -1)
(D) (3,1)
Answer:
I think it is C you should practice This is easy
Step-by-step explanation:
Amy usually swims 20 laps in 30 minutes. What is her rate in laps per
minute?
I NEED HELP ASAP PLEASE
Answer:2
Step-by-step explanation:
The price of a smart phone is "x" and is discounted 40% for a special promotion. You must also pay 7% sales tax on this purchase. What is the final price for this purchase?
Answer:
0.428x
Step-by-step explanation:
The price of a smart phone is "x" and is discounted 40% for a special promotion.
Step 1
The price after the discount is:
40% of x
= 40x/100
= 0.4x
Step 2
We calculate the exact amount the sales tax is.
You must also pay 7% sales tax on this purchase.
= 7% × 0.4x
= 7/100 × 0.4x
= 0.028x
Step 3
The final price for this purchase is calculated as:
0.4x + 0.028x
= 0.428x
Hence, the final price for this purchase is 0.428x
Without graphing, determine whether the function represents exponential growth or exponential decay.
Then find the y-intercept.f(x)=3(0.67)
Answer:
Decay.
Step-by-step explanation:
It is decay because .67 is less than 1.
A middle school band held a car wash to raise money. if they washed 28 cars in 2 hours. At this rate, how many cars did they wash in 9 hours
A.26
B.252
C.14
D.126
Daryl bought 10 adult tickets and 10 children's tickets to a zombie movie for $110. Rick bought 6 adult and 5 children tickets for $63 to the same movie. How much money does each type of ticket cost
Answer:
Adult tickets = $8
Children's tickets = $3
Step-by-step explanation:
Set up a system of equations;
x = adult tickets
y = children's tickets
Daryl's situation;
10x + 10y = 110
Rick's situation;
6x + 5y = 63
Hence the system is;
[tex]\left \{ {{10x+10y=110} \atop {6x+5y=63}} \right.[/tex]
To solve by elimination, one has to multiply one of the systems by a number such that when one adds the two systems, one variable gets eliminated. One is then left with an expression that can be solved for the other variable. Finally, one can substitute the value of the other variable back, to find the value of the first variable.
[tex]\left \{ {{10x+10y=110} \atop {6x+5y=63}} \right.[/tex]
Multiply Rick's situation by (-2)
[tex]\left \{ {{10x+10y=110} \atop {-12x-12y= -126}} \right.[/tex]
Add the two equations;
-2x = -16
Inverse operations;
-2x = -16
/-2 /-2
x = 8
Substitute back in;
10x + 1y = 110
10(8) + 10y = 110
Simplify;
80 + 10y = 110
Inverse operations;
80 + 10y =110
-80 -80
10y = 30
/10 /10
y = 3
x = 8
y = 3
1. -12(x+4)=60
2. 9(x-4)=81
solve for x
Answer:
1. x=-9
2.x=13
Step-by-step explanation:
how do you text people on here
Answer:
you have to use the comment box brainly wont let you private message people
Step-by-step explanation:
lol U~U
Is the number 12 a monomial?
Hey there!
GUIDE:
MONOMIAL has ONE TERM
BINOMIAL has TWO TERMS
TRINOMIAL has THREE TERMS
POLYNOMIAL has MANY TERMS
Now that we got that information we already found out what your answer should be.
The number 12 is a MONOMIAL because it has ONE term. So therefore, to answer your question. YES 12 is a monomial ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x – 8 y greater than or equal to -5/2x+5
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (5, -8) included in the solution area for the system? Justify your answer mathematically. (4 points)
Answer:
step by step as explained below
Step-by-step explanation:
A) y<4x-8 is the shade area below the dotted line of y=4x-8
y≥-2/5x+5 is the shade area above the solid line y=-2/5x+5
The solution is the dark color shade area
B) point(5,-8) located within the y<4x-8 area while it's not in the solution area of the system.
Please solve and thank you
what is the square number of 4
Answer:
16 is the answer ok .........
Step-by-step explanation:
4*4
A circle is inscribed in a regular hexagon with side length 12 units. Find the value of x.
The image of the inscribed circle is missing so i have attached it.
Answer:
x = 35
None of the given options are correct.
Thus, Option D is the answer.
Step-by-step explanation:
From the attached image, we can see that there are two lines projecting out of the centre of the circle with one having it's endpoint touching the edge of the hexagon while the other is perpendicular to the centre of a side of the hexagon and labeled x has it's endpoint touching both the circumference and the hexagon side.
Since line labeled x projects from the centre of the circle to the circumference, we can say that the radius is x.
The triangle formed is a right angled triangle with the other part touching only the hexagon as the hypotenuse.
We see the remaining part between the circle and the hexagon of this hypotenuse line given as 2.
Thus, hypotenuse = x + 2
This is because from the centre to the circumference is x as earlier discussed and this hypotenuse line crosses the circumference of the circle before touching the edge of the hexagon.
Using pythagoras theorem, we can find x:
x² + 12² = (x + 2)²
x² + 144 = x² + 4x + 4
x² will cancel out to give;
4x + 4 = 144
4x = 144 - 4
4x = 140
x = 140/4
x = 35
PLEASE HELP ME!!!!!
Select the correct answer.
The daytime temperature in Apple Valley is falling by 2.5 degrees each day. What will the net change in the daily temperature be after one calendar week?
A.
-2.5 degrees
B.
2.5 degrees
C.
-4.5 degrees
D.
-17.5 degrees
E.
17.5 degrees
Answer:
D. -17.5 Hope this helps. Pls give me brainliest :)
A rectangle has length 3x^2-5x+1 and width x^2-4. Which expression represents the perimeter of the rectangle? Image shows the options.
Answer: [tex]8x^2-10x-6[/tex]
Step-by-step explanation:
Given : length = [tex]3x^2-5x+1[/tex] , width = [tex]x^2-4[/tex]
Perimeter of rectangle = 2 ( length + width)
Then, Perimeter of given rectangle = [tex]2 (3x^2-5x+1+x^2-4)[/tex]
[tex]=2 (4x^2-5x-3)\\\\= 8x^2-10x-6[/tex]
Hence, the correct expression for perimeter = [tex]8x^2-10x-6[/tex]
Find the minimum value of
C = x + 3y
subject to the following constraints:
(9x + 2y > 35
x + 3y > 14
X>0
y20
C = [?]
The minimum value of C is 14 because the inequality x + 3y ≥ 14 has the minimum value is 14.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have:
C = x + 3y
Subject to constraints:
9x + 2y > 35
x + 3y ≥ 14
X ≥ 0
y ≥ 0
As we can see in the inequality:
x + 3y ≥ 14
Compare with x + 3y = C
The minimum value of x + 3y is 14
Thus, the minimum value of C is 14 because the inequality x + 3y ≥ 14 has the minimum value is 14.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ2
For which sample size (n) and sample proportion (p) can a normal curve be
used to approximate the sampling
It’s D❤️
Answer: Thank you so much !! I had the exact one!!
D. n=35 p =0.7
Step-by-step explanation:
The value of the interval (0.4676, 0.9323) is between (0, 1). Then the correct option is D.
What is a normal distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The sample size should be greater than 30.
Then
[tex]\mu = p = 0.7\\\\n = 35[/tex]
Then we have the sigma
[tex]\sigma = \sqrt{\dfrac{p(1-p)}{n}}\\\\\sigma = \sqrt{\dfrac{0.7*0.3}{35}}\\\\\sigma = 0.0775[/tex]
Then we have
[tex](\mu - 3 \sigma , \ \mu + 3 \sigma)\\\\(0.7-0.2323, \ 0.7+0.2323)\\\\(0.4676, \ 0.9323)[/tex]
The value of the interval is between (0, 1). Then the correct option is D.
More about the normal distribution link is given below.
https://brainly.com/question/12421652
Find the percent increase. Round to the nearest percent.
From 92 books to 131 books.
what is the percent increase?
Answer:
The percent increase should be 42%
Step-by-step explanation:
Subtract 131 from 92, you'll get 39
Divide, 39/92=423913....
Simply, I got 42%
Mike's dog bed is 5 1/4 feet long and 3 1/3 feet wide. What is the area of Mike's dog bed
Answer:
Area of bed = 17.5 ft²
Step-by-step explanation:
Given:
Length of bed l = [tex]5\frac{1}{4}[/tex] = 21/4 ft
Width of bed b = [tex]3\frac{1}{3}[/tex] = 10/3 ft
Find:
Area of bed
Computation:
Area = l x b
Area of bed = 21/4 x 10/3
Area of bed = 17.5 ft²
Which letters Shown below on the number line also have their opposites labeled? (A- A and D) (B- B and C) (C- A B and C) (D- B C and D)
try number 4 I thinks its that one or number 1
x/4 +6 ≤ x+8 inequality
Answer:
Solution in photo
Step-by-step explanation:
What is the total amount owed when $2,500 is borrowed for one year at 6% simple interest?
Answer:
5'506 the answer is 5'506 I because I add 2'500 with 6 and I got that answer
The total amount owed when $2500 is borrowed for one year at 6% simple interest is $2650.
What is Simple Interest?Simple interest is the process of finding the amount of interest if we have some principal value of money. Here a specific interest is charged only for the principal amount.
Formula for calculating the total amount in case of Simple Interest is,
A = p (1 + r t)
where, A is the total amount, p is the principal amount, r is the rate of interest and t is the time period.
Here, p = $2500
r = 6% = 6/100 = 0.06
t = 1 year
So the total amount = 2500 [1 + (0.06 × 1)]
= 2500 [1 + 0.06]
= 2500 × 1.06
= 2650
Hence the total money owed is $2650 when $2500 is borrowed for one year at 6% simple interest.
To learn more about Simple Interest, click on the link given below:
https://brainly.com/question/25845758
#SPJ2