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The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:
C = 5/9 (F − 32)
Which of the following formulas correctly solves for F?
F = 9/5C + 32
F = 9/5C − 32
F = 9C + 32/5
F = 9C − 32/5
Hugh has to earn at least $400 to meet his fundraising goal. He has only 100 books that he plans to sell at $8 each. Which inequality shows the number of books, x, Hugh can sell to meet his goal?
20 ≤ x ≤ 400
40 ≤ x ≤ 100
50 ≤ x ≤ 400
50 ≤ x ≤ 100
Mike observed that 75% of the students of a school liked skating. If 35 students of the school did not like skating, the number of students who liked skating was ______. (only put numeric values, no other symbols)
Answers
Let's take the first question, we have to turn the equation [tex]C = 5/9 (F − 32)[/tex] into a formula that correctly solves for F. First, let's switch the sides of the equation.
[tex]\frac{5}{9}\left(F-32\right)=C[/tex]
Divide both sides by 5/9. We are doing this to undo the multiplication.
[tex]\frac{\frac{5}{9}\left(F-32\right)}{\frac{5}{9}}=\frac{C}{\frac{5}{9}}[/tex]
[tex]F-32=\frac{9C}{5}[/tex]
Add 32 to both sides.
[tex]F-32+32=\frac{9C}{5}+32[/tex]
[tex]F=\frac{9C}{5}+32[/tex]
We have successfully gotten the formula to get F.
For the second question, we could use a graph for this. Since we want to reach the 400, then the inequality should reach that too. We should be careful though, since the profit will depend on the number of books you will sell, then the profit should be on the y-axis, and the number of books should be on the x-axis. The answer would be 50 ≤ x ≤ 100
For the third question, we can also infer that the 35 students that did not like skating should represent the 25% of the students. So, we could set up a proportion.
[tex] \frac{35}{25} = \frac{x}{75} [/tex]
We would then multiply, and then divide.
[tex](35*75)/25=105[/tex]
Now we know that the number of students who liked skating was 105 students.
-TetraFish
9c + 32/5=f this is the answer
i think
Related Questions
Bill is riding his bicycle. He takes 5 hours to ride 62.5 kilometers. What is his speed?
Answers
or 12.5 kph
or 12 1/2 kph
If the measure of angle is 38 what is the measure of its complement
Answers
Solve the quadratic equation -x^2=4
Answers
[tex](-x)(-x) = 4[/tex]
[tex]x^2 = 4[/tex]
[tex]x = 2[/tex]
So, 2 is the answer.
Which transformations can be used to map a triangle with vertices A(2, 2), B(4, 1), C(4, 5) to A’(–2, –2), B’(–1, –4), C’(–5, –4)? a 180 rotation about the origin a 90 counterclockwise rotation about the origin and a translation down 4 units a 90 clockwise rotation about the origin and a reflection over the y-axis a reflection over the y-axis and then a 90 clockwise rotation about the origin
Answers
Let ABC be first transformed onto A"B"C" by a 90° clockwise rotation.
Notice that B(4, 1) is mapped onto B''(1, -4). So the rule mapping ABC to A"B"C" is (x, y)→(y, -x)
so we are very close to (-y, -x).
The transformation that maps (y, -x) to (-y, -x) is a reflection with respect to the y-axis. Notice that the 2. coordinate is same, but the first coordinates are opposite.
ANSWER:
"a 90 clockwise rotation about the origin and a reflection over the y-axis"
Answer:
C. a 90 clockwise rotation about the origin and a reflection over the y-axis
Step-by-step explanation:
Two integers that vary in sign
Answers
How many terms are in the polynomial abcd + e - h 2? two three five six
Answers
Answer:
The number of terms in the polynomial are:
Three.
Step-by-step explanation:
We are given a polynomial expression in terms of variable a,b,c,d , e and h as:
[tex]abcd+e-h^2[/tex]
We know that in any algebraic expression the number of terms are the number of unlike expressions that are separated by a minus or plus i.e. addition sign.
Hence here by looking at our polynomial expression we see that there are three terms in the expression :
1) [tex]abcd[/tex]
2) [tex]e[/tex]
3) [tex]h^2[/tex]
Subtract 11a2+42a-6 from 14a2-24a+7
Answers
14a^2 - 24a + 7 - 11a^2 - 42a + 6 =
3a^2 -66a + 13 <==
The values of subtraction of 11a²+42a-6 from 14a²-24a+7 is
3a² - 66a + 1.
What is Expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
We have to Subtract 11a²+42a-6 from 14a²-24a+7.
So, the subtraction is as follows
= 14a²-24a+7 - ( 11a²+42a-6)
= 14a²-24a+7 - 11a² - 42a + 6
= 14a²- 11a² -24a - 42a + 7- 6
= 3a² - 66a + 1
Learn more about expression here:
https://brainly.com/question/13947055
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Which statement best describes the graph of x3 − 3x2 − x + 3?
It starts down on the left and goes up on the right and intersects the x-axis at x = −1, 2, and 3.
It starts down on the left and goes up on the right and intersects the x-axis at x = −1, 1, and 3.
It starts up on the left and goes down on the right and intersects the x-axis at x = −1, 2, and 3.
It starts up on the left and goes down on the right and intersects the x-axis at x = −1, 1, and 3.
Answers
It starts down on the left and goes up on the right and intersects the x-axis at x = −1, 1, and 3.
Which statement best describes the graph?
We want to describe the graph of:
[tex]y = x^3 - 3x^2 - x + 3[/tex]
We can see that the y-intercept is y = 3, and the x-intercepts can be seen in the graph below, these are at: x = -1, x = 1 and x = 3.
We also can see that it is cubic, so it starts down.
Then the correct option is the second one:
"It starts down on the left and goes up on the right and intersects the x-axis at x = −1, 1, and 3."
If you want to learn more about cubic functions:
https://brainly.com/question/1972490
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which figure has both line of symmetry and rotational symmetry
Answers
Answer:
A line of symmetry is when you can put a line through a shape and you can fold it and it is identical on both sides, and rotational is when you can rotate it and at some point it is in the same spot as it was before, so yes, you are right. the octogon.
Step-by-step explanation:
Andrea and raleigh are each rolling a fair, six-sided die. they roll their dice simultaneously, individually keeping a sum until someone reaches 100; whoever reaches 100 first wins. (if they reach 100 on the same roll, it's a tie.) andrea's die has sides 1, 2, 3, 4, 5, and 6. raleigh's has sides 1, 1, 1, 6, 6, and 6. who is more likely to win?
Answers
Let An be the likely number of rolls for Andrea to arrive at 100 or more, given that she is n away from the target of 100 (which means her current total is 100 - n ). Then we get the recurrence relation
An = 1 + (1/6) (An-1 + An-2 + An-3 + An-4 + An-5 + An – 6)
and the initial conditions A0 = A-1 = A-2 = A-3 = A-4 = A-5 = 0. This results in A100 = 29.0476 as the amount of expected rolls that Andrea has to make.
Now let Rn to be expected amount of rolls for Raleigh to arrive at 100 or more, given than he is also n away from the target of 100. Now the recurrence relation is:
Rn = 1 + (1/2) (Rn-1 + Rn-6)
with the initial conditions R0 = R-1 = R-2 = R-3 = R-4 = R-5 = 0. This gives us R100 = 29.1837 as the expected amount of rolls for Raleigh.
Therefore Andrea has to make less number of rolls thus she is expected to win.
Winner: Andrea
If only 4.5% of the non- historically protected have a field stone and mortar foundation, how many homes is this?
Answers
0.045(134) = 6.03 which rounds to 6 <=
For the following geometric sequence, find the recursive formula.
{-80, 20, -5, ...}
Answers
[tex]x_n=x_{n-1}* \frac{-1}{4} , x_1=-80[/tex]
or
[tex]x_n=-80*(\frac{-1}{4})^{n-1} [/tex]
Answer:
[tex]x_{n+1}=-\frac{x_{n}}{4}[/tex]
Step-by-step explanation:
We can get geometric sequence dividing each term by -4
So we will have:
[tex]x_{n+1}=\frac{x_{n}}{-4}=-\frac{x_{n}}{4}[/tex]
We can prove it putting the first value in this recursive equation:
x₁=-80
n = 1
[tex]x_{2}=-\frac{x_{1}}{4}=-\frac{-80}{4}=20[/tex]
If x₂ = 20, the next value will be:
[tex]x_{3}=-\frac{x_{2}}{4}=-\frac{20}{4}=-5[/tex]
I hope it helps you!
The profit in manufacturing x refrigerators per day, is given by the profit relation p = ¡3x2 + 240x ¡ 800 dollars. a how many refrigerators should be made each day to maximise the total profit? b what is the maximum profit?
Answers
The maximum of the function is given when [tex]x=- \frac{b}{2a} [/tex] where a and b are the constant of a quadratic form ax²+bx+c
We then have
a = -3
b = 240
Substitute these values into the maximum/minimum formula we have
[tex]x= \frac{-240}{2(-3)} = \frac{240}{6}=40 [/tex]
Which means that the maximum profit is obtained when the number of refrigerators produced is 40 items a day
The maximum profit is
p = -3(40)²+240(40)-800 = $4000
Final answer:
The firm should produce 40 refrigerators per day to maximize profit, resulting in a maximum profit of $4,000. A flat tax would reduce profit without affecting price directly, while a per unit tax could increase prices and alter the profit-maximizing output and profit levels.
Explanation:
Maximizing Profit and Effects of Taxes on a Firm's Profit
The profit that a firm makes from manufacturing x refrigerators per day is given by the profit function p = -3x^2 + 240x - 800, where p stands for profit. To maximize the total profit, we need to find the vertex of this quadratic function, which represents the highest point of the parabola on a graph. The x-coordinate of the vertex can be found using the formula -b/(2a), where a is the coefficient of x^2 and b is the coefficient of x. Substituting the values from the profit function, we get x = -240/(2*(-3)), which simplifies to x = 40. Thus, the firm should produce 40 refrigerators per day to maximize profit.
To find the maximum profit, we substitute x = 40 back into the profit function: p = -3(40)^2 + 240(40) - 800. After calculating, the maximum profit comes out to be $4,000 per day.
If a tax of $1,000 per day is imposed on the firm, this would lower the profit by the amount of the tax, without directly affecting the price. It's uncertain how the firm might react—whether they decide to increase the price to compensate or not is a strategic decision.
A tax of $100 per unit would likely cause the firm to increase the price by at least $100 to maintain their profit margins. The new profit function would be p = -3x^2 + (240-100)x - 800, which would also affect the profit-maximizing output. After recalculating with the new function, the firm would adjust its output and profit accordingly.
Match the following items by evaluating the expression for x=-3.
x^-3 1/9,-3,-1/3,9,1
x^-1 -1/3,1,9,1/9,-3
x^0 -3,9,-1/3,1/9,1
x^1 1/9,-3,-1/3,1,9
x^2 -3,1,9,1/9,-1/3
Answers
could have been -3^-2=1/(-3^2)=1/9
-3^-1=1/(-3^1)=-1/3
-3^0=1
-3^1=-3
-3^2=9
Answer:
The values of given expression at x=-3 are [tex]x^{-3}= -\frac{1}{27}[/tex], [tex]x^{-1}=-\frac{1}{3}[/tex], [tex]x^{0}=1[/tex], [tex]x^{1}=-3[/tex] and [tex]x^{2}=9[/tex].
Step-by-step explanation:
We need to find the value of each expression at x=-3.
The given expression is
[tex]x^{-3}[/tex]
It can be written as
[tex]x^{-3}=\frac{1}{x^3}[/tex] [tex][\because x^{-n}=\frac{1}{x^n}][/tex]
Substitute x=-3 in the above expression.
[tex]x^{-3}=\frac{1}{(-3)^3}\Rightarrow -\frac{1}{27}[/tex]
Similarly,
[tex]x^{-1}=\frac{1}{x}\Rightarrow -\frac{1}{3}[/tex]
[tex]x^{0}=1[/tex] [tex][\because x^{0}=1][/tex]
[tex]x^{1}=(-3)^1=-3[/tex]
[tex]x^{2}=(-3)^2=9[/tex]
Therefore the values of given expression at x=-3 are [tex]x^{-3}= -\frac{1}{27}[/tex], [tex]x^{-1}=-\frac{1}{3}[/tex], [tex]x^{0}=1[/tex], [tex]x^{1}=-3[/tex] and [tex]x^{2}=9[/tex].
Find the zeros of the function. F(x)= cube root of x
Answers
Three times the greater of two consecutive odd integers is five less than four times the smaller. find the two numbers.
Answers
Given,
3(x + 2) = 4x -5
3x + 6 = 4x - 5
x = 11
Hence, the consecutive odd integers are 11 and 13.
Which of the following questions describes the equation w + 9 = -17? What number, A. when decreased by nine, is equal to negative seventeen?
B. What number, when added to negative seventeen, equals nine?
C. What number, when increased by nine, results in negative seventeen?
D. What number, when subtracted from nine, equals negative seventeen?
Answers
First, let's write our equation.
w + 9 = -17
We have "w + 9", which means "a number, w, is added to 9", and we have "= -17", which means "is equal to negative 17".
To solve for this, let's rewrite what's in quotation marks.
w + 9. A number, w, is added to 9 is equal to negative 17.
The answer choice that best matches this is "C.)", as it increases our number by 9 and is equal to negative 17.
I hope this helps!
Simplify (−34.67)0. I'm not really understanding how to do this so please someone help me.
Answers
If it's -34.67^0 = then it's equal to -1 becomes anything to the power of 0 is 1.
But in this case it's a -1 because the base is negative.
Point B is between A and C. If AB = 6 cm and BC = 11 cm, what is AC?
Answers
On an up hill hike Ted climbs at 3 mph. Going back down, he runs at 5 mph. If it takes him forty minutes longer to climb up than run down, then what is the length of the hike?
Answers
Distance traveled = (average)Speed*Time.
i) when Ted Climbs up:
let D be the distance, T the time it takes Ted to climb, S_u=3mph is the speed as Ted climbs up.
then: D=3T
ii) when Ted goes down:
D is the distance, T-40 the time it takes Ted go down, S_d=5mph is the speed as Ted climbs up.
then: D=5(T-40)
equalizing the equations in i and ii:
(D=) 3T=5(T-40)
3T=5T-200
200=2T
T=100 (minutes)
the total length of the hike is T+T-40=100+100-40=160 (minutes)
Answer: 160 minutes
Answer: He hiked 10 miles.
Step-by-step explanation:
3mi/hr x 1 2/3 hr = 5 miles. 5 mi/hr x 1 hr = 5 miles.
When constructing inscribed polygons how can you be sure the figure inscribed is a regular polygon
Answers
Which of the following is unnecessary when multiplying these polynomials?
(2x^3+2x^2-3x)(9x^2-4x+5)
A)use of the distributive property
B)use of the multiplication property of exponents
C)combine like terms
D)find the GCF
Answers
_____________________________________________________________
(02.06 LC)
The figure below shows parallel lines cut by a transversal:
Which statement is true about ∠1 and ∠2?
A. ∠1 and ∠2 are complementary because they are a pair of corresponding angles.
B. ∠1 and ∠2 are congruent because they are pair of corresponding angles
C.∠1 and ∠2 are complementary because they are a pair of alternate interior angles.
D.∠1 and ∠2 are congruent because they are pair of alternate interior angles.
Answers
25 characters
Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true?
Answers
But given your multiple choice...
1) Shape 1 and 2 isn't congruent so false.
2) Shape 1 and 2 don't share the same coordinates because of a prior translation so false.
3) Shape 1 and 2 isn't congruent so false.
4) Shape 1 could be translated onto shape 2, but it still would not be congruent, so true.
Therefore the 4th one is true.
in a batch of 280 water purifiers 12 were found to be defective. What is the probability that a water purifier chosen at random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary. A. 4.3% b. 5.6% c. 95.7% d. 71.8%
Answers
the answer would be 4.3 percent
What is the solution to the system of equations graphed below?
a. (2,-3)
b. (-3,2)
c. (-2,3)
d. (3,-2)
Answers
The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by k(x) = 9x – 2. Which expression represents the profit, (k – h)(x), of producing soccer balls?
Answers
4x-8 , this is your profit function
= 9x -2 - (5x + 6)
= 9x - 5x -2 - 6
= 4x - 8
Carly and janiya put some money into their money boxes every week. the amounts of money (y), in dollars, in their money boxes after certain amounts of time (x), in weeks, are shown by the equations below:carlyy = 60x + 40janiyay = 50x + 80after how many weeks will carly and janiya have the same amount of money in their money boxes and what will that amount be? 5 weeks, $280 5 weeks, $340 4 weeks, $280 4 weeks, $340
Answers
janiya : y = 50x + 80
60x + 40 = 50x + 80
60x - 50x = 80 - 40
10x = 40
x = 40/10
x = 4 <=== so at 4 weeks, they will have the same amount of money <==
The money they have is : y = 60(4) + 40.....y = $ 280 <=
so ur answer is : 4 weeks, $ 280
Find the value of y. Look at image attached
Answers
Noa drove from the Dead Sea up to Jerusalem, and her altitude increased at a constant rate of 740 meters per hour. When she arrived in Jerusalem after 1.5 hours of driving, her altitude was 710 meters above sea level.
Let A(t) denote Noa's altitude relative to sea level A (measured in meters) as a function of time t (measured in hours).
Answers
A(t)=740t+a₀
where a₀ is initial height or the height she started at
we want to find her initial height
after 1.5 hours, she was 710 meters above sea levl
alright
A(1.5)=740(1.5)+a₀=710
740(1.5)+a₀=710
1110+a₀=710
minus 1110 both sides
a₀=-400
so she stared at -400 meters below sea level
and the equation would be (or function)
A(t)=740t-400
She stared at -400 meters below sea level and the equation is A(t)=740t-400
Functions and valuesFunctions are written in terms of variables
From the given question;
Let a₀ is the initial height or the height she started at
Required
Initial height
After 1.5 hours, she was 710 meters above sea level
Substitute the given time into the function
A(1.5)=740(1.5)+a₀=710
740(1.5)+a₀=710
1110+a₀=710
a₀=-400
This shows that she stared at -400 meters below sea level and the equation is A(t)=740t-400
Learn more on functions here: https://brainly.com/question/2833285