We get 2 complex answers
Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared.
Given that F(x) = 3x2 - 40x + 180
Set F(x) to 0, and you get ax2 + bx + c = 3x2 -40x + 180.
[-b +/- (b2 -4ac)(1/2)] is the quadratic formula. / 2a.
The stuff under the square root / radical (b2 - 4ac) is the KEY to your answer, and it determines whether you have two real, one real, or two imaginary answers. The discriminant is the term (b2 - 4ac).
Obviously, if (b2 - 4ac) > 0, you have two real answers, because the square root of a positive number is also a (positive) real number. And -b multiplied by a real number (and divided by 2a) yields two (real) answers.
If (b2 - 4ac) = 0, you have one correct answer because the square root of 0 is zero. And -b multiplied by a 0 real number (and divided by 2a) yields 1 (real) answer.
(b2 - 4ac) 0 yields two fictitious answers, because the square root of a negative number is a fictitious number. And -b multiplied by an imaginary number (and divided by 2a) yields two (complex) answers.
In this case, (b2 - 4ac) = ((-40)2 - 4(3)(180)) = 1600 - 2160 0 As a result of the discriminant is negative, the quadratic formula yields two complex answers.
Therefore we get two complex answers
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Answer:
[tex]x=\dfrac{20 +2\sqrt{35}\:i}{3}, \quad x=\dfrac{20 -2\sqrt{35}\:i}{3}[/tex]
2 imaginary answers.
Step-by-step explanation:
Given quadratic function:
[tex]f(x) =3x^2 - 40x + 180[/tex]
The zeros of a quadratic function can be found when f(x) = 0:
[tex]\implies 3x^2 - 40x + 180=0[/tex]
[tex]\boxed{\begin{minipage}{3.6 cm}\underline{Quadratic Formula}\\\\$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$\\\\when $ax^2+bx+c=0$ \\\end{minipage}}[/tex]
Therefore:
a = 3b = -40c = 180Substitute the values of a, b and c into the quadratic formula and solve for x:
[tex]\implies x=\dfrac{-(-40) \pm \sqrt{(-40)^2-4(3)(180)}}{2(3)}[/tex]
[tex]\implies x=\dfrac{40 \pm \sqrt{1600-2160}}{6}[/tex]
[tex]\implies x=\dfrac{40 \pm \sqrt{-560}}{6}[/tex]
[tex]\implies x=\dfrac{40 \pm \sqrt{16 \cdot 35 \cdot -1}}{6}[/tex]
[tex]\implies x=\dfrac{40 \pm \sqrt{16}\sqrt{35}\sqrt{-1}}{6}[/tex]
[tex]\implies x=\dfrac{40 \pm 4\sqrt{35}\sqrt{-1}}{6}[/tex]
Apply the imaginary number rule [tex]\sqrt{-1}=i[/tex]:
[tex]\implies x=\dfrac{40 \pm 4\sqrt{35}\:i}{6}[/tex]
[tex]\implies x=\dfrac{20 \pm 2\sqrt{35}\:i}{3}[/tex]
Therefore, the solution is 2 imaginary answers.
Imaginary numbers
Since there is no real number that squares to produce -1, the number [tex]\sqrt{-1}[/tex] is called an imaginary number, and is represented using the letter [tex]i[/tex].
An imaginary number is written in the form [tex]bi[/tex], where [tex]b \in \mathbb{R}[/tex].
Which shows all the critical points for the inequality 2x+5/x-2 => x-1/x-2
x = 1, and x = 2 x = –6 and x = 2 x = –4 and x = 2 x = 2
The critical points of the given inequality are; x=-6 and x=2
What are the critical points of the Inequality?1) When the denominator is equal to zero, at that point, we will have a critical point.
We are given the inequality;
(2x + 5)/(x - 2) ≥ (x - 1)/(x - 2)
Thus, x - 2 = 0
x = 2.
Thus, x = 2 is a critical point
2) Simplify the numerator to get the expression such that p(x) ≥ 0 or p(x) ≤ 0.
Thus, at p(x) = zero, we have other critical point(s)
Multiply both sides by (x - 2) to get;
2x + 5 = x - 1
2x - x = - 1 - 5
x = - 6
Then, the two critical points are x = 2 and x = - 6.
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3. A company’s penetration rate is the percent of the market that uses its product. A market research firm is testing the
penetration rate for ACME widgets. In a random sample of 425 widget consumers, 185 purchased the ACME brand.
(a) Do these data provide good evidence that ACME’s penetration rate for widgets is greater than 40%? Test at the
2.5% level of significance.
(b) Explain the meaning of the P-value in the context of the data.
No, the data provided does not give good evidence that ACME’s penetration rate for widgets is greater than 40%, Test at the
2.5% level of significance
P-value in the data is 40% and this refers to the probability that the assumed penetration rate is greater tan 40 %
How to get the p value penetration rateThe central limit theorem is frequently employed in situations when it is necessary to identify the features of the population but it is challenging to analyze the entire population.
The central limit theorem gives the formula
Z = (X - μ) / σ
Definition of variables
sample mean, X = 185
population mean, μ = ?
standard deviation, σ = ?
sample size, n = 185
significance level = 2.5% = 0.025
confidence level = 1 - significance level = 1 - 0.025 = 0.975 = 97.5%
z score, z
Z score for 97.5% confidence level = 1.96
substituting into the formula
Z = (X - μ) / σ
The given variables are not enough for the calculation
population mean, μ = ?
standard deviation, σ = ?
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Pls help I’m failing
Answer:
{-9,-8,7,8,10}
If angle 1 is 7 degrees in the parallelogram pictured above, what is angle 2
Answer:
m∠2 = 173°Step-by-step explanation:
1 and 2 are supplementary angles and hence sum to 180°.
m∠1 + m∠2 = 180°7° + m∠2 = 180° m∠2 = 180° - 7° m∠2 = 173°Find the volume of the rectangular prism.
8 m
8 m
8 m
Answer:
Step-by-step explanation:
I believe that the volume of the rectangular prism is 512.
Explanation: V = whl = 8 · 8 · 8 = 512
V=Volume
W= Width
H= Height
L= Length
Find the sum: (2x² + x + 3) + (3x² + 2x + 1)
A. 3x² + 5x+4
B. 5x²+3x+4
OC. 6x + 2x + 3
OD. 5x²+2x+4
Answer:
B
Step-by-step explanation:
Combine 2x^2 and 3x^2 to get 5x^2.
5x²+x+3+2x+1Combine x and 2x to get 3x.
5x²+3x+3+1Add 3 and 1 to get 4.
5x²+3x+4The correct option is B.Determine a so that A(t)=A0at describes the amount of nitrogen-16 left after t seconds, where A0 is the amount at time t=0. Round to six decimal places.
using the power rule of logarithm, the value of a is 1.1021.
In the given question we have to determine a so that [tex]A(t)=A_{0}a^t[/tex] describes the amount of nitrogen-16 left after t seconds, where [tex]A_{0}[/tex] is the amount at time t=0.
The given exponential function is [tex]A(t)=A_{0}a^t[/tex].
The amount of nitrogen-16 is approximately 7.13 seconds.
According to the question, [tex]A(t)=A_{0}/2[/tex] and t = 7.13 seconds.
Putting the value in the given function;
[tex]A_{0}/2=A_{0}a^{7.13}[/tex]
Divide by [tex]A_{0}[/tex] on both side, we get
[tex]1/2=a^{7.13}[/tex]
Taking In on both side
[tex]\text{In}(1/2)=\text{In}(a^{7.13})[/tex]
Using the power rule of logarithm
In(1/2)=7.13In(a)
Divide by 7.13 on both side
In(a)= -0.693/7.13
In(a)= -0.0972
Taking exponential on both side
[tex]e^{\text{In}(a)}= e^{-0.0972}[/tex]
a = 1.1021
Hence, the value of a is 1.1021.
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A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (-5, 3). What is the vertex of the function defined as g(x) = f(x) + 2?
Answer:
Submit Answer
Vertex of g(x) is: (-2, -4)
What is vertex?An element of a line is a line segment. A line segment that can be extended endlessly is known as a ray.An angle is created when two line segments or rays cross one another. A vertex is created by definition whenever two lines come together to produce an angle. Thus, we can state that a vertex is formed when two line segments or rays intersect.acc to our question:
Vertex form of a quadratic function:
f(x) = (x - h)² + k
We have (h, k) = (3, -4)
The function f(x) is:
f(x) = (x - 3)² - 4
The function g(x) is: g(x) = f(x + 5) =
(x + 5 - 3)² - 4 = (x + 2)² - 4Vertex of g(x) is:(-2, -4)
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Write the slope-intercept form for the equation of a line with slope m = -9 and y-intercept (0, 5).
The equation of this line is
The equation of the line is ,y= -9x+5.
What is an equation?A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions and express their equality. A well-formed formula consisting of two expressions linked by an equals sign is considered to be an equation in English, but the word's cognates in other languages may have slightly different definitions. For instance, an équation is defined as having one or more variables in French.Finding the variables' values that cause the equality to be true is the first step in solving an equation with variables. The variables for which the equation must be solved are also known as the unknowns, and the unknowns' values that fulfill the equality are known as the equation's solutions. Equations can be categorized as either identities or conditional equations.Acc to our question-,
We should use the slope-intercept formula to solve this problem.
The point-slope formula states:= [ y = mx + c]
Where m is the slope and c is the y-intercept for the point (0,y1)
Substituting the information provided we get the equation: y= -9x+5.
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The Americans with Disabilities Act (ADA) gives businesses and cities requirements, rules, for making sure that people in wheelchairs and scooters can use slopes. The ADA requires a 1:12 slope for wheelchairs and scooters. (This means that for every one unit of vertical distance, the ramp must have 12 units of horizontal distance.) Mrs. Giles has a small business. She wants to make sure she builds the entrance to her building correctly. The entrance to Mrs. Giles's business is 28 inches higher than the parking lot in front of her store. According to the ADA rules, how long (horizontal distance) does the ramp need to be, in feet?
The length of the horizontal distance of the ramp if The entrance to Mrs. Giles's business is 28 inches higher than the parking lot in front of her store is 28 feet.
What is ratio?Comparing one quantity to another is what it is. For instance, the weight ratio is 1:3 if you weigh 30 kg and your father weighs 90 kg.
Given:
The ratio of vertical and horizontal distance = 1:12,
The vertical distance of Mrs. Giles's business = 28 inches,
If for every one unit of vertical distance, the ramp must have 12 units of horizontal distance, so or 28 inches vertical distance the horizontal distance would be = 28 × 12 = 336 inches,
([tex]1 feet = 12inches[/tex])
= 336 / 12 = 28 feet
Therefore, The length of the horizontal distance of the ramp if The entrance to Mrs. Giles's business is 28 inches higher than the parking lot in front of her store is 28 feet.
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For d the question is asking after four months, the heat is turned off. The excess amount, electricity from the solar panels begins to build back up according to the function. E(d)=38d+500. How do you interpret the 38 in the 500 and this model, we’re doing our presents the number of days since the heat was turned off. How would I solve this?
From the equation E(d) = 38d + 500, The initial electricity is 500W and the build up is 38W per day
What is an equation?An equation is an expression showing the relationship between two or more numbers and variables.
The standard equation of a straight line is:
y = mx + b
Where m is the rate of change and b is the y intercept
Let E represent the electricity from the solar panels after d days.
Since:
E(d) = 38d + 500
The y intercept is 500 and the slope is 38
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Andrew solved the following inequality, and his work is shown below:
−4(x + 8) + 25 ≤ −2 + 1(x − 50)
−4x − 32 + 25 ≤ −2 + 1x − 50
−4x − 7 ≤ 1x − 52
−5x ≤ −45
x ≤ 9
What mistake did Andrew make in solving the inequality?
Answer:
Andrew failed to change the direction of the inequality
Step-by-step explanation:
You want to know the mistake in Anderw's work solving the inequality ...
−4(x + 8) + 25 ≤ −2 + 1(x − 50)
Solution−4(x + 8) + 25 ≤ −2 + 1(x − 50)
−4x − 32 + 25 ≤ −2 + 1x − 50
−4x − 7 ≤ 1x − 52
−5x ≤ −45
x ≥ 9
Andrew's mistake was failing to reverse the inequality symbol when dividing by a negative number (-5) at the last step.
__
Additional comment
The last steps of the solution could be written ...
-5x ≤ -45
45 ≤ 5x . . . . . . . add 5x+45 to both sides
9 ≤ x . . . . . . . . . divide by 5 (no reversal of ≤ is needed)
Complete the following ratios: Current assets = $13,000 Inventory = $4,400 Current liabilities = $10,000 Net income = $7,700 Net sales = $24,400 A. Profit margin on net sales (round to nearest tenth percent) B. Acid test (round to nearest tenth percent.)
The completion of the following accounting ratios is as follows:
A. Profit margin on net sales is 31.6%.
B. Acid test is 86.0%.
What are accounting ratios?Accounting ratios enable financial analysts to understand the relative magnitude of one financial statement account to another.
By their nature, accounting ratios compare or represent an entity's financial performance or position in relative terms.
Current assets = $13,000
Inventory = $4,400
Current liabilities = $10,000
Net income = $7,700 Net sales = $24,400
The profit margin on net sales = Net Income ÷ Net Sales x 100
= $7,700 ÷ $24,400
= 31.6%
Acid Test Ratio = (Current Assets - Inventory) ÷ Current Liabilities
= ($13,000 - $4,400) ÷ $10,000
= 0.86
= 86%
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Apples cost 1.85 per kilogram
Work out the cost of 1.6 kilogram of apples
for 20 points
Answer:
1.6 kg = $2.96
Step-by-step explanation:
The given statement is,
→ 1 kg of apple = $1.85
→ a = 1.85
Now the cost of 1.6 kg of apple is,
→ 1.6 × a
→ 1.6 × 1.85
→ $2.96
Hence, 1.6 kg of apple is $2.96.
A relation is shown: {(3, 2), (5, −1), (6, 7), (3, −8), (4, 2)} Which set of information is true about the relation shown?
The set of information that is true about the relation is:
Domain: {3, 4, 5, 6}
Range: {-8, -1, 2, 7}
The relation is not a function.
How to Determine a Relation that is a Function?A relation that represents a function will have each of its domain elements related to exactly one range element.
All the x-values in a relation are referred to as the domain of a function, while all the y-values are called the range of the function,
Therefore, for a relation to be considered a function, a domain element must not correspond to two different range elements or related to two range elements.
Given the relation, {(3, 2), (5, −1), (6, 7), (3, −8), (4, 2)}:
The domain of the relation is: {3, 4, 5, 6}
The range of the relation is: {-8, -1, 2, 7}
The relation is not a function because the domain element, 3, corresponds to two different range elements, 2 and -8.
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Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
2
(13q² +82q - 55) ÷ (q + 7)
The division of the given polynomial is [tex]13q - 9 + \frac{8}{q+7}[/tex].
What is the quotient of polynomials?
Any quotient of polynomials a(x)/b(x) can be expressed as q(x)+r(x)/b(x), where r(x) is a real number and b is a real number (x). For instance, x-2+3 can be used to represent (x2-3x+5)/(x-1) (x-1).
We have,
[tex]\frac{(13q^{2} + 82q - 55)}{ (q + 7)}[/tex]
By dividing,
[tex]\frac{(13q^{2} + 82q - 55)}{ (q + 7)} / \frac{(13q^{2} + 82q - 55)}{ (q + 7)}[/tex]
[tex]= 13q + \frac{-9q - 55)}{ (q + 7)}[/tex]
[tex]\frac{-9q - 55}{q+7} / \frac{-9q - 55}{q+7}[/tex]
[tex]= 13q - 9 + \frac{8}{q+7}[/tex]
Hence, the division of the given polynomial is [tex]13q - 9 + \frac{8}{q+7}[/tex].
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Which expression is equivalent to
-2 + 4/5h -1
Answer:
1/2=0.5
Step-by-step explanation:
-2+4/5°-1=1/2
One number exceeds another by 7. The sum of the numbers is 27. What are the numbers?
The numbers are
(Use a comma to separate answers.)
K
Answer:
10, 17
Step-by-step explanation:
let the number be n then the other number is n + 7 and
n + n + 7 = 27
2n + 7 = 27 ( subtract 7 from both sides )
2n = 20 ( divide both sides by 2 )
n = 10
n + 7 = 10 + 7 = 17
the numbers are 10, 17
A student earned the scores in the data set in one course.
{88, 72, 68, 78, 94}
What is the mean of the scores?
Answer:
80
Step-by-step explanation:
the mean of a data set is calculated as
mean = [tex]\frac{sum}{count}[/tex] = [tex]\frac{88+72+68+78+94}{5}[/tex] = [tex]\frac{400}{5}[/tex] = 80
Which symbol replaces the box to make the statement true? 18÷6+3□6+12÷3 Responses > greater than < less than =
The correct expression of the inequality expression is 18 ÷ 6 + 3 □ 6 + 12 ÷ 3
How to complete the inequality expression?From the question, the expression is given as
18 ÷ 6 + 3 □ 6 + 12 ÷ 3
We start by converting the above expression to the same form
So, we start by solving the quotients
This gives
3 + 3 □ 6 + 4
Next, we evaluate the sum
So, we have
6 □ 10
In the above expression, we have
6 and 10
By convention, the number 6 is less than the number 10
This is so because 6 has a smaller value and 10 has a higher value
When the above numbers are compared, we have
6 is less than 10
This means that we make use of the inequality symbol <
So, we have
18 ÷ 6 + 3 < 6 + 12 ÷ 3
Hence, the complete inequality is 18 ÷ 6 + 3 □ 6 + 12 ÷ 3
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(HELP ASAP) ABC Is Isosceles m
Answer:
m∠A = 55°-----------------------------
A and C are congruent angles opposite to congruent sides of the isosceles triangle.
m∠A = m∠C3x + 40 = x + 503x - x = 50 - 402x = 10x = 5Find the measure of ∠A
m∠A = 3×5 + 40 = 15 + 40 = 55Answer:
The angle A is 55°.
Step-by-step explanation:
We know that,
→ <A = <C
Now the value of x will be,
→ 3x + 40 = x + 50
→ 3x - x = 50 - 40
→ 2x = 10
→ x = 10/2
→ [ x = 5 ]
Then the value of m<A is,
→ A = 3x + 40
→ A = 3(5) + 40
→ A = 15 + 40
→ [ A = 55° ]
Hence, the answer is 55°.
Find the Surface Area for the following:
(Use 3.14 for . Do not round and do not type your units.)
Surface Area = ______ in²
The shape has a surface area of: Surface Area = 282.6 in²
How to determine the surface area?The given parameter is represented on the figure
In this case, the figure is a cone with the following parameters
Radius, r = 5 inches
Height, h = 12 inches
The surface area of the cone is then calculated as
A = πr * (r + √(h² + r²))
Substitute the known values in the above equation, so, we have the following representation
A = 3.14 * 5 * (5 + √(12² + 5²))
Evaluate the expression
A = 282.6
Hence, the surface area is 282.6 square inches
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Given that 150 students were interviewed, 85 signed for mathematics, 70 signed for English, and 50 signed for both. Draw a venn diagram to show.
How many signed for only mathematics
How many signed for English only
English or Mathematics
Neither English nor Mathematics
English and Mathematics
1. 35 signed up for only mathematics
2. 20 signed up for only English
3. 85 or 70 is English or mathematics
4. Neither math or English is 45
5. English and Math is 50
How to solve the Venn diagram1. How many signed for only mathematics
We have to define only mathematics as x
while we have math = m
English as E
Math and English as ME
only math
X = M - ME
= 85 - 50
= 35
2. Only English
E - ME
= 70 - 50
= 20
3. English or mathematics =
85 or 75
4. Neither English nor Mathematics
150 - (85 + 70 - 50)
= 45
5. The number for math and English is what is the intersection = 50
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The price of a technology stock was $9.69 yesterday. Today, the price fell to $9.56. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answer:
1.3% decrease
Step-by-step explanation:
% change = (9.69 - 9.56) / 9.69) x 100 = 1.3% decrease
9.69-9.56 = 0.13
0.13/0.69= 0.0134158972
Multiply by 100 and you get 1.34158927
Round to nearest tenth and you get = 1.3%
Therefore, the percentage decrease is 1.3
Find the difference between -14w - 3 and 5w.
A -9 w - 3
B -19 w + 3
C -19 w - 3
D -22 w
Quick pls
Answer:
c
Step-by-step explanation:
cause -14w-3-(5w)
-14w-5w-3
-19w-3
The maximum distance D(h) in kilometers that a person can see from a height h kilometers above the ground is given
by the function D(h) = 111.7√/h. Find the height that would allow a person to see 40 kilometers.
h=km
(Round to two decimal places as needed.)
...
Answer:
0.13 km
Step-by-step explanation:
Rearrange the formula to solve for [tex]h[/tex]:
[tex]D(h)=111.7\sqrt{h}[/tex]
[tex]\frac{D(h)}{111.7}=\sqrt{h}[/tex]
[tex](\frac{D(h)}{111.7})^2=(\sqrt{h})^2[/tex]
[tex](\frac{D(h)}{111.7})^2=h[/tex]
Then, substitute the distance of 40 km:
[tex](\frac{40}{111.7})^2=h[/tex]
[tex]0.13\approx{h}[/tex]
(A) find the perimeter of triangle BCF, to the nearest hundredth
(B) find the area of triangle BCF
Perimeter of triangle BCF is 19.24 units. Area of triangle BCF is 15 [tex]units^{2}[/tex].
Distance formula = [tex]\sqrt{(x1-x2)^{2}+(y1-y2)^{2} }[/tex]
Perimeter = a + b + c
Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
s = [tex]\frac{a+b+c}{2}[/tex]
Given, B(3,2), C(1,-2), F(-3,5).
BC = a = [tex]\sqrt{(3-1)^{2} +(2+2)^{2} }[/tex]
= [tex]\sqrt{2^{2} +4^{2} }[/tex]
= [tex]\sqrt{4+16}[/tex]
= [tex]\sqrt{20}[/tex]
= 4.47 units
CF = b = [tex]\sqrt{(1+3)^{2} +(-2-5)^{2} }[/tex]
= [tex]\sqrt{4^{2} +7^{2} }[/tex]
= [tex]\sqrt{16+49}[/tex]
= [tex]\sqrt{65}[/tex]
= 8.06 units
BF = c = [tex]\sqrt{(3+3)^{2} +(2-5)^{2} }[/tex]
= [tex]\sqrt{6^{2} +3^{2} }[/tex]
= [tex]\sqrt{36+9}[/tex]
= [tex]\sqrt{45}[/tex]
= 6.71 units
Perimeter = a + b + c
= 4.47 + 8.06 + 6.71
= 19.24 units
s = [tex]\frac{a+b+c}{2}[/tex]
= [tex]\frac{19.24}{2}[/tex]
= 9.62
Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
= [tex]\sqrt{9.62(9.62-4.47)(9.62-8.06)(9.62-6.71)}[/tex]
= [tex]\sqrt{9.62*5.15*1.56*2.91}[/tex]
= [tex]\sqrt{224.91}[/tex]
= 14.99
≈ 15 [tex]units^{2}[/tex]
Hence, perimeter is 19.24 units and area is 15 [tex]units^{2}[/tex].
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A laundromat has a wash-and-fold service for a monthly fee of $28.00. The laundromat will wash and fold clothes at $0.61 per pound for those customers with a laundry service. One customer paid $41.42 in total for the month.
Which equation can be used to determine the pounds of laundry the customer brought in to be washed and folded that month?
A. 0.61x + 28.00 = 41.42
B. 0.61x + 41.42 = 28.00
C. 28.00 - 0.61x = 41.42
D. 41.42 + 28.00 = 0.61x
The required equation can be used to determine the pounds of laundry the customer brought in is A. 0.61x + 28.00 = 41.42
What is an equation?An equation is a mathematical expression that shows the relationship between two variables.
How to find equation can be used to determine the pounds of laundry the customer brought in to be washed and folded that month?To find the given equation,
Let x be the number of pounds of clothes washed and folded at the laundromat.
Given that the laundromat will wash and fold clothes at $0.61 per pound for those customers with a laundry service, the total amount paid for the number of poundsof clothes is P = rate × number of pounds = $0.61 × x = 0.61x
Also, the laundromat has a wash-and-fold service for a monthly fee of $28.00.
So, the total amount paid is T = P + $28.00 = $0.61x + $28.00
Now, since one customer paid $41.42 in total for the month, since this is the total amount paid, then T = $41.42
So, $0.61x + $28.00 = $41.42
So, the required equation is A. 0.61x + 28.00 = 41.42
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17).
A chef has 31 litres of cooking oil. He uses 7, of it during an evenings cooking.
How much does he
a).
use,
b).
have left over ?
Answer:
a) He obviously used 7 liters of cooking oil.
b) He has 24 liters of cooking oil left.
The temperature dropped 2 f every hour for 6 hours.what total number of degrees the temperature changed in the 6 hours?
The total number of degrees the temperature changed in the 6 hours is 12°F
Here,
The temperature dropped 2°F every hour for 6 hours.
We have to find,
The total number of degrees the temperature changed in the 6 hours.
Fahrenheit is a scale for measuring temperature, in which water freezes at 32 degrees and boils at 212 degrees. It is represented by the symbol ° F.
Now,
The temperature dropped 2°F every hour for 6 hours.
1 hour = 2°F
6 hour = 6 x 2 = 12°F
Hence, The total number of degrees the temperature changed in the 6 hours is 12°F.
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