Answer: The correct option is A: $2.00
Step-by-step explanation:
The question should be:
"The bill at the restaurant was $18.79 estimate the amount to leave as a 10% tip. A. $2.00 B. $3.00 C. $9.00 D. $21.00"
The general case is:
When we have a quantity A (where A is the 100%) the X% of A is:
(X%/100%)*A
In this problem, we have a bill of $18,79 and we want to leave a 10% tip.
Then $18,79 is the 100% we want to see how much is the 10% of $18,79
If we use the above equation we get:
Tip = (10%/100%)*$18,79 = $1,879
The option that approaches the best to this amount is option A, $2.00
Then the tip should be $2
The correct option is A.
Rewrite each equation without absolute value for the given conditions.
[tex]y=/x-5/+/x+5/ if -5\ \textless \ x\ \textless \ 5[/tex]
Answer: 10
Step-by-step explanation:
If [tex]-5 < x < 5[/tex], then [tex]|x-5|=5-x[/tex] and [tex]|x+5|=x+5[/tex].
So, the expression is equal to 10.
BRANIEST + 15 POINT QUESTION
Let the missing number x
So, ATQ
[tex] \frac{3}{14} \times x = 6[/tex]
[tex] \frac{14}{3} \times \frac{3}{14} x = 6 \times \frac{14}{3} [/tex]
[tex] \frac{1}{3} \times 3x = \frac{14}{3} \times 6[/tex]
[tex]x = \frac{14}{3} \times 6[/tex]
[tex]x = 14 \times 2[/tex]
[tex]x = 28[/tex]
Therefore, 3/14 of 28 is 6...
Answer:
28
Step-by-step explanation:
Let the number we are looking for = [tex]x[/tex]
∴ [tex]\frac{3}{14}[/tex] of [tex]x[/tex] is 6
⇒ [tex]\frac{3}{14}[/tex] × [tex]x = 6[/tex]
• Divide both sides of equation by [tex]\frac{3}{14}[/tex] :
⇒ [tex]x = 6 \div \frac{3}{14}[/tex]
⇒ [tex]x = 28[/tex]
∴ The missing part is 28.
In a right triangle the length of the hypotenuse is a and the measurement of one of the
acute angle is a. Find the measurement of the other acute angle and the lengths of the
legs.
Answer:
The measure of the acute angle = 90 - a
Leg 1 = a cos(a)
Leg 2 = a sin(a)
Step-by-step explanation:
In a right triangle ,the two acute angles are complementary
We are given that the measure of one of the acute angles is ‘a’
Then
The measure of the other one is ‘90 - a’
Now, we use the law of sine to determine the length of the legs :
Let x and y be respectively the length of the two legs.
[tex]\frac{x}{\sin \left( 90-a\right) } =\frac{a}{\sin \left( 90\right) }[/tex]
[tex]\Longleftrightarrow \frac{x}{\sin \left( 90-a\right) } =a[/tex]
[tex]\Longleftrightarrow x = a \times\sin \left( 90-a\right)[/tex]
[tex]\Longleftrightarrow x = a \times\cos \left( a\right)[/tex]
On the other hand,
[tex]\frac{y}{\sin \left( a\right) } =\frac{a}{\sin \left( 90\right) }=a[/tex]
Then
[tex]y = a \times \sin(a)[/tex]
In the 30-60-90 triangle below, side s has a length of
length of
30
90°
S
60
OA. 16√3, 5
B. 4√2, 4√2
OC. 4, 4√3
OD. 8.5, 16
OE. 16√3, 16√3
OF. 4, 8√3
and side q has a
Answer:
4, 4√3
Step-by-step explanation:
In a 30-60-90 triangle:
The leg opposite of the 30-degree angle is 1/2 of the hypotenuse: 8/2 = 4
The longer leg is √3 times the shorter leg: 4*√3 = 4√3
Check work: 4^2+(4√3)^2 = 8^2 --> 16+48 = 64 --> 64 = 64
Nani needs to buy 8 cups of fresh pineapple for a fruit cocktail. the table shows the unit prices of pineapple at different stores. if nani only has $4, from which stores could she purchase her pineapple?
Nani could purchase her pineapple from stores A, D, and E.
Given Information
It is given that Nani needs to purchase 8 cups of pineapple.
The unit prices of pineapple at each store is as follows,
Store A : 0.49
Store B : 0.51
Store C : 0.55
Store D : 0.48
Store E : 0.45
Amount that Nani has = $4
Reason Behind Purchasing From Either A, D, or E
Since Nani has amount of $4, she can purchase pineapple only from the stores where the total cost of 8 pineapple cups adds up to less than $4. The purchase of 8 pineapple cups at each store would be given as,
Store A : 0.49(8) = $3.92
Store B : 0.51(8) = $4.08
Store C : 0.55(8) = $4.40
Store D : 0.48(8) = $3.84
Store E : 0.45(8) = $3.60
As it can be seen, Nani can purchase from the store A, D, and E as it falls within her budget of $4.
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Levi rented a movie for $3.20 and bought a package of candy for $2.55. How much money did Levi spend in total?
$5.25
$5.50
$5.75
$6.00
The total amount of money Levi spent on renting movie and buying candy is $5.75
EquationAmount Levi rented movie = $3.20A package of candy = $2.55Total = Amount Levi rented movie + A package of candy
= $3.20 + $2.55
= $5.75
Therefore, the total money spent by Levi is $5.75
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Of the 17 students in a programming class, 6 own 1 computer, 3 own 2 computers, 3 own 3 computers, 2 own 4 computers, and 3 own 5 computers
The median number of computers owned by the 17 students is 2.
What is median in statistics?A dataset's median represents the midpoint; half of the data points are smaller and half are greater than the median.
Identifying the median: The data points should be arranged from smallest to largest. The median is the middle data point in the list if the number of data points is odd.
The total number of students are 17.
The data can be arranged in the following table
number of students number of computers
6 1
3 2
3 3
2 4
3 5
Arrange the given frequencies in the increasing order-
1 1 1 1 1 1 2 2 2 3 3 3 4 4 5 5 5
The middle term of the arrange frequencies is 17/2 = 8.5
Median = (8 term + 9 term)/2
= (2 + 2)/2
= 2
Therefore, the median number of computers owned by the 17 students is 2.
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The correct question is -
Of the 17 students in a programming class, 6 own 1 computer, 3 own 2 computers, 3 own 3 computers, 2 own 4
computers, and 3 own 5 computers. What is the median number of computers owned by the 17 students?
Help please, will give brainliest
Answer: The answer is D
Step-by-step explanation:
Explain why the following form linearly dependent sets of vectors. (solve this problem by inspection.)
u1 = (3, -l), u2 = (4, 5), u3 = (-4, 7) in r2
A set of vectors {v1,v2,...,vk} is linearly independent if the vector equation x1v1 + x2v2 + .......... + xkvk = 0 has only the trivial solution
x1 = x2 = .... = xk =0. Then the set {v1,v2,...,vk} is linearly dependent otherwise.
So putting in the formula we get
x1u1 + x2u2 + x3u3 = 0
x1u1 + x2u2 = -x3u3
au1 + bu2 = u3 ∵ (-x1/x3 = a & -x2/x3 = b)
On putting in the values
a(3,-1) + b(4,5) = (-4,7)
(3a+4b,-a+5b) = (-4,7)
On comparing we get
3a + 4b = -4 -(1)
-a + 5b = 7 -(2)
on solving these equations we get
b = 17/19 and a= -48/19
which is non trivial.
Thus the following form linearly dependent sets of vectors.
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suppose cos(A) = 4/5. use the trig identity sin^2(A)+cos^2(A)=1 to find sin(A) in quadrant IV. round to the ten-thousandth.
a. -0.3954
b. -0.6000
c. 0.6485
d. 0.4500
In quadrant IV, [tex]\sin(A)[/tex] is negative. So
[tex]\sin^2(A) + \cos^2(A) = 1 \implies \sin(A) = -\sqrt{1-\cos^2(A)} = -\dfrac35 = \boxed{-0.6000}[/tex]
ok more of a question not like a equation or anything but when do you know when there is a extraneous answer and how do you solve it (please provide an example equation)
One can know if an equation is extraneous if after plugging it in the original equation, it shows a false meaning or the value is undefined.
What is an extraneous equation?It should be noted that an extraneous equation means a root of a transformed equation that isn't the root of the original equation due to the fact that it's excluded from the domain of the original equation.
In this case, one can know if an equation is extraneous if after plugging it in the original equation, it shows a false meaning or the value is undefined.
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The triangles are similar. Find the value of the variable.
what should be added to 3x³-5x²+7x-4 to get 7x³+2x²-3x+9
Answer:
Let the number be a.
==: a + (5x³-2x²+3x+7) = (7x³+7x-5)
==: a = (7x³+7x-5) - (5x³-2x²+3x+7)
==: a = 7x³ + 7x - 5 - 5x³+ 2x² - 3x - 7
==: a = 2x³ + 2x² + 4x - 12
i guess this is the process if you don't understand i can explain more
A polypay sheep produces an average $9.9$ pounds of wool annually. This wool is cleaned, spun into yarn and then packaged into skeins of $175$ yards of yarn each. One pound of wool makes $10.95$ miles of yarn. If farmer Bill has a flock of $200$ polypay sheep, to the nearest thousand skeins, how many skeins of yarn is his flock expected to produce in one year
Answer:
218,048. skeins
Step-by-step explanation:
Break down the process into proper order.This question is built to throw you off by not telling you about the information in order.
First, the polypay sheep produces 9.9 pounds of wool.
Then, each pound produces 10.95 miles of yarn.
And finally, the yarn is packaged into skeins that are 175 yards each.
Step 1: Outline the workEach polypay sheep is 9.9 pounds. And we will use that total weight to find the amount of yarn in miles.
Then we will split up that yarn into equal pieces to make skeins.
BUT, the pieces are measured in yards, so we will have to convert the miles of yarn into an equivalent amount in yards as well. (Unmatched units of measurements don't mix well).
So, our equation will look like this:
(#of sheep) [tex]\times[/tex] (9.9 pounds per sheep) [tex]\times[/tex] (10.95 miles per yarn) [tex]\times[/tex] (1760 yards per mile) [tex]\div[/tex] (175 skeins per yard)
Step 2: Plug and ChThe number of sheep Bill has is 200.
So, we plug that into the number model we made.
[tex]200\times9.9\times10.95\times1760\div175[/tex]
We end up with:
218,048.914
The decimal indicates that there is a remaining amount of yarn that couldn't be properly packaged into a skein.
Since, that remainder is not a complete skein, we must ignore its existence.
So the number of skeins expected is:
218,048
The number of skeins of yarn is Bill's flock expected to produce in one year is 1819.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, a polypay sheep produces an average 9.9 pounds of wool annually.
Farmer Bill has a flock of 200 polypay sheeps
So, total weight of wool is 9.9×200
= 1980 pounds
One pound of wool makes 10.95 miles of yarn.
So, the number of yarns = 1980/10.95
= 180.82 miles of yarn
We know that, 1 mile =1760 yards
Then, 180.82 miles
= 318243.2 yards
This wool is cleaned, spun into yarn and then packaged into skeins of 175 yards of yarn each.
Number of skeins = 318243.2/175
= 1819
Therefore, the number of skeins of yarn Bill's flock expected to produce in one year is 1819.
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Given the graph of the function, f(x) , what is the value of f (-2)?
The value of f(-2) is 0
How to evaluate the function?The graph of the function is added as an attachment
The graph is given as:
y = f(x)
When x =-2. we have
y = f(-2)
From the graph, we have:
x = -2 and y = 0
So, we have
f(-2) = 0
Hence, the value of f(-2) is 0
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The vertex of a parabola is (0,0)and the focus is (1/8, 0) . What is the equation of the parabola?
The equation of a parabola whose vertex is (0, 0) and focus is (1 / 8, 0) is equal to x = 2 · y².
How to derive the equation of the parabola from the locations of the vertex and focus
Herein we have the case of a parabola whose axis of symmetry is parallel to the x-axis. The standard form of the equation of this parabola is shown below:
(x - h) = [1 / (4 · p)] · (y - k)² (1)
Where:
(h, k) - Coordinates of the vertex.p - Distance from the vertex to the focus.The distance from the vertex to the focus is 1 / 8. If we know that the location of the vertex is (0, 0), then the standard form of the equation of the parabola is:
x = 2 · y² (1)
The equation of a parabola whose vertex is (0, 0) and focus is (1 / 8, 0) is equal to x = 2 · y².
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A company makes rubber rafts. 12% of them develop cracks within the first month of operation. 27 new rafts are randomly sampled and tested, by being used for one month, under standardized conditions that mimic typical operating conditions. Calculate the probability that the number of tested rafts that develop cracks is no more than 3. Round your answer to four decimal places.
The probability that the number of tested rafts that develop cracks is no more than 3 is .00006.
The true proportion, p for the population is given to 0.12.
Thus, the mean, μ, for the sample = np = 27*0.12 = 3.24.
The sample size, n, given to us is 27.
Thus, the standard deviation, s, for the sample can be calculated using the formula, s = √{p(1 - p)}/n.
s = √{0.12(1 - 0.12)}/27 = √0.003911 = 0.0625389.
We are asked to calculate the probability that the number of tested rafts that develop cracks is no more than 3, that is, we need to calculate P(X ≤3).
P(X ≤ 3)
= P(Z ≤ {(3 - 3.24)/0.0625389) {Using the formula z = (x - μ)/s}
= P(Z ≤ -3.8376114706)
= .00006 {From table}.
Thus, the probability that the number of tested rafts that develop cracks is no more than 3 is .00006.
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help me please 10 points
Answer:160ft^3
Step-by-step explanation:
Volume=(bh/2)h
V=(5ftx8ft/2)8ft
V=20x8=160
Volume=160ft^3
HOPE YOU GET IT RIGHT:)!
When figuring out the sign of a fraction as a
whole, you use the rules for dividing negatives.
The points (-3,2) (5,2) and (5,1) are three vertices of a rectangle what is the fourth vortex?
The slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -2x + 6. What is the
point-slope form of the equation for this line?
O y-3=-%(x + 8)
y+3=-2(x-8)
y+8=-%(x-3)
D y-8 = -2(x + 3)
Answer: [tex]y-8=-2(x+3)[/tex]
Step-by-step explanation:
See attached image, it's direct formula substitution.
The weight of football players is normally distributed with a mean of 180 pounds and a standard deviation of 20 pounds. what is the probability of a player weighing less than 215 pounds?
Answer:
Given:
mu = 200 lb, the mean sigma = 25 the standard deviation
For the random variable x = 250 lb, the
z-score is z = (x - mu) / sigma = (250 - 200) / 25 = 2
From standard tables for the normal distribution, obtain
P(x < 250) = 0.977
Answer: 0.977
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 2 more than 5 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 110
Mark and Don have 18 and 92 marbles respectively.
What is the solution of the equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.
Let the number of marbles Mark has be x.
According to the question,
Don has (5x+2) marbles.
Total number of marbles=110
Thus, the required equation is:
x+5x+2=110
6x=108
x=108/6
x=18
Mark has 18 marbles.
Don has (5*18+2)=92 marbles.
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Solve the system of equations 4x+5y=-1 and -5x-8y=10 by combining the equations.
The solutions to the given system of equations are x = 6 and y = -5
Simultaneous linear equationsFrom the question, we are to solve the given system of equations
The given system of equation is
4x+5y=-1
-5x-8y=10
Multiply the first equation by 5 and the second equation by 4
5× (4x+5y=-1)
4× (-5x-8y=10)
20x + 25y = -5
-20x - 32y = 40
------------------------
0x + (-7y) = 35
-7y = 35
y = 35/-7
y = -5
Substitute the value of y into the first equation to find x
4x + 5y = -1
4x + 5(-5) = -1
4x -25 = -1
4x = -1 +25
4x = 24
x = 24/4
x = 6
Hence, the solutions to the given system of equations are x = 6 and y = -5
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Use trig to find the height of the hot air balloon. Write an equation and show work. Round answer to the nearest tenth
Answer:
x = 753.6 ft
Step-by-step explanation:
One leg is x.
The other leg is given.
The trig function that relates the two legs of a right triangle is the tangent.
tan A = opp/adj
tan 37° = x/1000ft
x = 1000 ft × tan 37°
x = 753.6 ft
Answer: 753.6 feet
Step-by-step explanation:
The angle, theta, is 37 degrees. However, we're not given the length of the hypotenuse in this case. So sine would be x by the hypotenuse and cosine would be 1,000 by the hypotenuse. In this case, we can use tangent, which is sine/cosine. In this case, tan 37 = x/1,000.
Hence,
tan 37 = x/1,000
x = tan 37 * 1000
x is approximately 753.6, rounded to the nearest tenth.
Which of the measurements of triangleBAC are correct
Answer:
yes
no
yes
Step-by-step explanation:
sin C = opp/hyp = 9/15 yes
tan B = opp/adj = 12/9 no
tan B = 12/9; B = tan^-1 12/9 = 53.13°
Please someone helpp
Due to length restrictions, we cannot summarize the results of the three parts about the quadratic equations of the form x² + b · x + c = 0. We kindly invite to check the explanation for further details.
How to apply algebra properties to solve quadratic equations of the form x² + b · x + c = 0In this question we have several exercises with quadratic equations of the form x² + b · x + c = 0 and, to be more exactly, quadratic equations with the following characteristics:
x² - (r₁ + r₂) · x + r₁ · r₂ = 0 (1)
Please notice that the first grade coefficient is equal to the inverse of the sum of the two roots and the zero grade coefficient is the product of the two coefficients.
Now we proceed to resolve all the points:
Part I
a) (x + 17) · (x + 1) = x² + 18 · x + 18, r₁ = - 17, r₂ = - 1
b) (x + 5) · (x + 4) = x² + 9 · x + 20, r₁ = - 5, r₂ = - 4
c) (x - 11) · (x - 1) = x² - 12 · x + 11, r₁ = 11, r₂ = 1
d) (x - 18) · (x - 2) = x² - 20 · x + 36, r₁ = 18, r₂ = 2
Part II
a) x² - 12 · x + 27
b) (x + 4) · (x + 8)
c) (x - 5) · (x - 7)
d) (x - 4) · (x - 5)
Part III
a) (x - 18) · (x + 3) = x² - 15 · x - 54
b) (x + 18) · (x + 3) = x² + 21 · x + 54
c) (x + 18) · (x - 3) = x² + 15 · x - 54
d) (x - 18) · (x - 3) = x² - 21 · x + 54
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In ΔPQR, find the measure of ∡P. Hypotenuse is 57.6 and the opposite side is 33.8.
Step-by-step explanation:
pythogoras theorem = Q²=P²+R²
P=P
Q= 57.6
R=33.8 =
(57.8)²=(P)²+(33.8)²
=3,340.84=(P)²+1142.44
=3340.84-1142.44=P²
=2,198.4=P²
[tex] = \sqrt{2198.4} = p \\ = 46.8 = p[/tex]
Express tan D as a fraction in simplest terms. 40 B 24 32 C
Answer:
[tex]\sf Tan \ D = \dfrac{4}{3}[/tex]
Step-by-step explanation:
Trigonometry ratios:
[tex]\sf \boxed{\bf \tan \ D =\dfrac{opposite \ side \ of \ \angle \ D}{adjacent \ side \ of \ \angle D}}[/tex]
[tex]\sf =\dfrac{BC}{DC}\\\\ =\dfrac{32}{24}\\\\=\dfrac{4}{3}[/tex]
Please help me
better be worth my 57 points
Answer: a
Step-by-step explanation:
The slope is the rate at which a line goes up or down (i.e., how steep it is). It is measured by the slope formula, which is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where (x1, y1) and (x2, y2) are two points on the line.
Below, (x1, y1) are (c, d) and (x2, y2) are (a, b).
When all variables are plugged in, the slope is
[tex]\frac{b-d}{a-c}[/tex]