Answer:
2850
Step-by-step explanation:
We know that only 19% of people prefer the sedans, so we have to find 19% of 15,000. Set up a proportion: [tex]\frac{19}{100}=\frac{x}{15000}[/tex], cross multiply and get 2850.
Answer:
2850 sedans per month
Step-by-step explanation:
19 % want sedans
They expect to sell 15000 cars
Take the number of cars and multiply by the percent sedans
19% * 15000
Change to decimal form
.19*15000
2850
What is the solution set of x for the given equation? x^2/3-x^1/3+4=6 A. -2, -1 B. 2, -1 C. -8, -1 D. 8, -1 E. 2, 8
Answer: The answer is D.
Step-by-step explanation: Ok, we start by simplifing the equation to 3√x^2 - 3√x=2. Now, by plugging the possible options in, we can find the answer. You find that -1 is a possible answer for x, so that eliminates E. Since there is no cube root for 2, we elimate A and B. By plugging in C and D, you find that C=6, not C=2. So D must be the answer.
What are the coordinates of the image of L for a dilation with center (0, 0) and scale factor 4?
Answer:
A. (-8, 20)
Step-by-step explanation:
The formula for dilations is
[tex]\left(x_{1}\cdot t_{1},\ y_{1}\cdot t_{1}\right)[/tex] Where t is the scale factor
The first step is to plug in the numbers appropriately
[tex](-2*4,5*4)[/tex]
Then, multiply -2 by 4 and 5 by 4 to get
[tex](-8, 20)[/tex]
So your answer is (-8, 20)
Hope this helps
Have a great day! :)
Allen and Stephan went shopping for Mother's day. Stephan spent $30 for 4 roses and 2 CDs. Allen bought 2 roses and 3 CDs for $40. What was the cost of a rose and a CD?
Answer:
work is shown and pictured
According to the graph, what is the value of the constant in the equation
below?
A. 10
B. 20
C. 100
D. 4
Answer:
C. 100
Step-by-step explanation:
You can rearrange the equation to say ...
(Height)(Width) = Constant
Multiply any of the coordinate values shown, and you will see the constant is 100.
4×25 = 5×20 = 10×10 = 20×5 = 100
The constant is 100.
can someone help me please
Answer:
-3x
Step-by-step explanation:
-3 is the coefficient and x is the variable.
If you wrote the numbers from 1-8, and it equals to three, how do you make the statement true if you can't change the 3 but you could connect two or more numbers to make the statement true if you also can only do subtraction?
Answer:
Just add 6 to the right side of 3 which will make as 36
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36
Hope it helps u...pls mark as brainliest
The speed at which a ball bits the ground is proportional to the
height to which the ball rebounds. If the ball hits the ground at
a speed of 20 miles per hour and rebounds to a height of 10 feet,
then how fast must it be traveling (in miles per hour) to rebound
to a height of 15 feet?
Answer:
30 mph
Step-by-step explanation:
let s represent speed and h represent rebound.
Given that s is proportional to h then the equation relating them is
s = kh ← k is the constant of proportion
To find k use the condition s = 20, h = 10, then
20 = 10k ( divide both sides by 10 )
2 = k
s = 2h ← equation of proportionality
When h = 15 , then
s = 2 × 15 = 30 mph
which equation represents the line that is perpendicular yo y=3/2x+1 and passes through (-12,6)
Answer:
y = -2/3x - 2
Step-by-step explanation:
Step 1: Find slope m of perpendicular line
Simply take the negative reciprocal of the given line
m = -2/3
y = -2/3x + b
Step 2: Find b
6 = -2/3(-12) + b
6 = 8 + b
b = -2
Step 3: Rewrite perpendicular equation
y = -2/3x - 2
Which equation represents a line that has a slope of −2/3 and a y-intercept of 4?
Answer:
y = -2/3x + 4
Step-by-step explanation:
In an equation that represents a line, the number with which no variable is multiplied is the y-intercept.
The number with which "x" is multiplied is the slope.
So in this case, the slope is -2/3; so the equation should be like -2/3x.
The y-intercept is 4, so it is the number with which no variable is multiplied.
So the equation is:
=> y = -2/3x + 4
I need help!
- 7(x + 2) = 21
Answer:
x = -5
Step-by-step explanation:
-7(x + 2) = 21
Divide each side by -7
-7/-7(x + 2) = 21/-7
x+2 = -3
Subtract 2 from each side
x+2-2 = -3-2
x = -5
Answer:
x = -5
Step-by-step explanation:
distribute: -7x-14 = 21
add 14 to both sides
divide by -7
x = -5
Translate into an algebraic expression: How much 50% sugar syrup can you make if you have x grams of sugar ?
Answer:
The algebraic expression is v = 2x
v is the volume of the sugar syrup and
x is the mass of sugar in grams.
Step-by-step explanation:
Let x be the mass of sugar in grams and v be the volume of sugar syrup.
So, mass of sugar in grams/volume of sugar syrup × 100 % = 50 %
x/v × 100 % = 50 %
x/v = 50/100
x/v = 1/2
v = 2x
So, the algebraic expression required is v = 2x where v is the volume of the sugar syrup and x is the mass of sugar in grams.
The base of a regular pyramid is a hexagon.
Answer:
The base of the regular pyramid is a square.
Step-by-step explanation:
An electrician earns $110 after his first hour of working for a client. His total pay based on the number of hours worked can be represented using the sequence shown. 110, 130, 150, 170, ...
Answer:
f(n + 1) = f(n) + 20
Step-by-step explanation:
Let f(x) equals their pay at every hour of X
Where x is the number of hours, then if we go with the trend where f(1)=110, f(2)=130 f(3)=150 f(4)=170 then would see that as they are working every hour they have their pay increased by $20, from f(1)=110+ $20 gives us f(2)=130 and that is after an hour then we can say
1 hour work=$20
Then additional 1hour+ n= $20 + n
Hence,f(n+1)=f(n)+20
Which expression can be used to determine the slope of the linear function represented in the table?
х
0
у
5
9
4
9-5
4-0
O
4-0
9-5
o
5-0
9-4
O
9-4
5-0
Answer:
to find the slope of a linear function, there is only one formula
this formula requires two points, which are stated in tables and graphs alike
these points do not need to be one after the other as it is slope and slope predicts what the next point graphed will be.
Formula for Slope:
y2 - y1______x2 - x1this should help. take any two points and substitute for each; y values in the correct spots and x values in their correct spots
make sure to put the values of second point where it is labelled y2 and x2 And make sure to substitute first point values in those labelled y1 and x1
It is important to remember that if this becomes a fraction, SIMPLIFY
We can write the slope of the function as -
{m} = (9 - 5)/(4 - 0).
What is function?A function is a relation between a dependent and independent variable. We can write the examples of function as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is a table for the function as -
{x} 0 4
{y} 5 9
We can write the slope of the function as -
{m} = (9 - 5)/(4 - 0)
Therefore, we can write the slope of the function as -
{m} = (9 - 5)/(4 - 0).
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formula of minimmum pressure
Ms. delilio borrowed 1,200 from a bank for 3 months at 12% annual interest. How much interest did she pay?
Answer: $36
Step-by-step explanation:
When taking a loan from a bank, we have to pay interest. The Simple Interest Formula is:
Simple Interest (I) = Principal (P) × Interest Rate (r) × Time (t)
Principal (P) is the borrowed amount.
Interest Rate (r) is the percent of the principal to be paid.
Time (t) is the length of time that money is borrowed.
If Ms. Delilio borrowed $1,200 at an interest rate of 12% per year, for 3 months:
First, we have to convert 3 months into years
3 months = 3/12 =0.25 years
Then, find the interest by using the formula
Simple Interest (I) = Principal (P) × Interest Rate (r) × Time (t)
In this example
P = $1200
I = 12%
t = 0.25 years
Then:
I = 1200 × 0.12 × 0.25
I = 36
Answer: $36
Step-by-step explanation:
3/12x1200x0.12=36
SIMPLE INTEREST FORMULA
TIME(ALWAYS IN YEARS)FOR EXAMPLE 4 MONTH WOULD BE 4/12 SINCE THERE ARE 12 MONTH IN 1 YEAR
DIVIDE BY 100 FOR INTEREST SHOWN
AND MULTIPLY TO SOLVE
what happens to 5/x + 5 as x decreases from a large positive number to a small positive number? does it increase, decrease, or stay the same?
Answer:
Increases
Step-by-step explanation:
It increases because, the greater the value of x the smaller the fraction is. If x was 25 the fraction would be 5/25 this makes the value of the equation 5.2. Now if x was a smaller positive number like 5. Then the fraction would be 5/5 which would cause the equation to be equal to 6.
HELP
Kevin has $25 in his checking
account. If Kevin has $2.20
less than 4 times the amount
that Molly has in her
account, what is the
amount of money in
Molly's account?
Answer:
$6.8
Step-by-step explanation:
Let x be the amount of money in Molly's amount
according to question,
4x-25=2.20
4x=2.20+25
4x=27.20
x=27.20/4
x=6.8
So,the amount of money in Molly's amont is $6.8
Answer: $6.80
Step-by-step explanation:
We will represent the amount of money that Molly has with a m. So it tells us the relationship between Kevin's amount and Molly's amount. It is says Kevin has 2.20 less that 4 times Molly's amount so we could represent it by the equation.
25 = 4m -2.20 solve for m.
+2.20 +2.20
27.20 = 4m
m= 6.8
4(6.8) = 27.20 - 25 = 2.20
what is the ratio of the volumes of two similar spheres, given that the ratio of their radii is 5:9?
PLEASE NEED ANSWERS
Answer:
125 : 729
Step-by-step explanation:
Given the ratio of the radii of 2 similar spheres = a : b , then
ratio of volumes = a³ : b³
Here the ratio of radii = 5 : 9 , thus
ratio of volumes = 5³ : 9³ = 125 : 729
.
Look at the table. Is ƒ(x) an exponential function? If so, identify the base. If not, why not?
No, there is no base common to any two successive terms.
yes, the base is 4
Answer:
yes, the base is 4
Step-by-step explanation:
How many pairs of points are reflections across the x-axis?
A)1
B)2
C)3
D)4
Answer:
C. 3
Step-by-step explanation:
C&D, A&F, K&J
The pairs of points are reflections across the x-axis will be 3. The correct option is C.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
In the given graph number of points is given in all four quadrants. The reflections of the points across the x-axis will be of the points C and D, A and F, K and J.
Therefore, the pairs of points that are reflections across the x-axis will be 3.
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PLEASE HELP. I WILL REWARD BRAINLY TO WHO EVER ANSWERS CORRECTLY. (ignore selected answer) Recalling the SAT scores are always expressed as multiples of 10, how many points did you get on the test?
Answer:
C
Step-by-step explanation:
Which is the simplified form of x Superscript negative 12?
Answer:
1/x^12
Step-by-step explanation:
X^-12....simply move x^-12 to the other side of the division and change the sign of the exponent.
The simplified form of the expression x Superscript negative 12 is 1/ x¹².
What is the rule of exponent?The rule of the exponent is defined as the simplified form of the exponents
(aᵇ)ⁿ = aᵇⁿa⁻ⁿ = 1/aⁿaᵇ * aⁿ = aᵇ⁺ⁿaᵇ / aⁿ = aᵇ⁻ⁿwhere a is the base and b and n are the exponent.
Here given in the question is the expression that x superscript negative 12.
As we now superscript is to write the number in exponent position.
here -12 is written in the superscript of x.
then the mathematical expression will be converted as
x superscript negative 12 = x⁻¹²
As we know from the rule of exponent that a⁻ⁿ = 1/aⁿ where a is the base and n is the exponent.
x⁻¹² can be rewritten as x⁻¹² = 1/ x¹²
Therefore the simplified form of the expression x Superscript negative 12 is 1/ x¹².
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{b(1)=-2 {b(n)=b(n-1)-7 What’s the 3rd term?
Answer: the answer is b(5)
Step-by-step explanation:
To find the third term work backwards and plug it in. That was when you plug the solution of b(n-1) everything fits.
Answer:
b(3)=-16
Step-by-step explanation:
We have to figure out the second term
b(2)=b(1)-7
b(2)=-2-7
b(2)=-9
and now the third one
b(3)=b(2)-7
b(3)=-9-7
b(3)=-16
Suppose that the market research department of a famous bakery has determined that the most aesthetically pleasing donut has a thickness that is twice the inner radius of the donut (that is, the radius of the donut’s hole). The formula for the inner radius of the donut is given by the equation , where V is the volume of the donut in cubic centimeters. Use the table of values to help you answer the questions about r(v). -30 -0.80 -20 -0.70 -10 -0.55 0 0 10 0.55 20 0.70 30 0.80
Answer:
The information given are;
[tex]r(V)=\sqrt[3]{\dfrac{V}{6\cdot \pi ^{2}}}[/tex]
Where;
r(V) = The radius of the doughnut (cm)
V = The volume of the doughnut (cm³)
The data are;
V, r(V)
-30, -0.8
-20, -0.7
-10, -0.55
0, 0
10, 0.55
20, 0.7
30, 0.8
From the table of values, the identified key features are;
a) There is a direct relationship between the radius and the volume of the doughnut
b) The correlation between the data increases to direct proportionality from the volume of 20 cm³ and above
c) The data values are symmetric and continuous about the y and x-axis
2) There is a direct linear relationship between radius, r and the volume V at end ends of the data between r and V where V = -30 and-20 at one end and 20 and 30 at the other end
b) The x and y-intercept are
The x -intercept = (0, 0)
The x -intercept = (0, 0)
c) The pivot point is the point about which change occurs, therefore, the pivot point is the (10, 0.55)
d) The domain is a member of the set of real numbers, R while the range is also a member of the set of real numbers, R
Step-by-step explanation:
Which of the following equations have infinitely many solutions? Choose All that apply. A: 37x-37=37x-37 B: 74x-37=74-37 C: 73x-37=73x-37 D: x-37=x-37
Answer:
(A), (C) and (D).
Step-by-step explanation:
An equation will have infinite solutions if both sides of the equal sign are the exact same thing, for instance [tex]4x+4=4x+4[/tex]. (You can test this with any value of x and find that they all work!)
So to find the equations that have infinite solutions, we need to see which have the same exact sides.
[tex]37x-37 = 37x-37[/tex] have the same thing on each side: [tex]37x-37\\[/tex], so this has infinite solutions.
[tex]74x-37 = 74-37[/tex] does not have the same thing on each side, so it doesn’t have infinite solutions (it has 1)
[tex]73x-37 = 73x-37[/tex] has the same thing on each side: [tex]73x-37[/tex], so this has infinite solutions.
And finally, [tex]x-37=x-37[/tex] has the same thing on each side: [tex]x-37[/tex], so it has infinite solutions.
Hope this helped!
Answer:
question is not clear please send clear question
Given a graph for the transformation of f(x) in the format g(x) = f(kx), determine the k value.
ту
g(x)
f(x)
k= -4
k= -1/4
k= 1/4
k= 4
ASAP!!!!
Answer: C
1/4
Step-by-step explanation:
Given a graph for the transformation of f(x) in the format g(x) = f(kx),
This means that for every value of x, f(x) will take the value it would have had at kx, that is, the graph of f(x) is stretched by a factor of 1/k in the direction of positive x-direction.
Therefore, the value of k will be 1/4.
Answer:
k=4
Step-by-step explanation:
I really need help please
Answer:
1. 2.997
2. 29.93
Step-by-step explanation:
1. You gotta multiply the three sides given, to do this, they all have to be the same unit. Either convert them all to inches or feet then do the operation.
2. Same thing, gotta multiply all given values
What are the independent and dependent variables in the relationship?
w is the width and it is the independent variable. You can pick any positive whole number you want (within reason of course; you can't go to infinity or go beyond some set boundary). Whatever you picked for w, the expression 2w-5 will be dependent on it. So the length is dependent on the width.
For instance, if the width is w = 10 feet, then 2w-5 = 2*10-5 = 20-5 = 15 feet is the length. The choice of 10 feet for the width directly affects the length being 15 feet.
Price elasticity of demand for tomatoes is 1.30. If hail storm adversely affects the nation’s production of tomatoes what will be the impact on total revenue from tomatoes and why?
Answer:
The total revenue will decrease.
Step-by-step explanation:
The price elasticity of demand is 1.30 that shows that change in the quantity of tomatoes is greater than the change in the price of tomatoes. The hail storm will decrease the quantity (supply) of tomatoes. However, this decrease in supply will increase the price but the ratio of change in quantity will be more than the ratio of change in price. Thus, total revenue from tomatoes will also fall.