HELP ME
On a Saturday, Tyler earned $97.20 waiting tables at a restaurant. He earned $9.25 an hour, and an additional $60.20 in tips. How many hours did he work that day? (Write and solve an equation to solve this problem.)
sorry my writing is messy
Answers
Related Questions
A juice company produces 8,064 cartons of juice in 21 days. Each day, they produced the same number of cartons and delivered those cartons to 16 area coffee shops. The cartons were delivered in cases of six cartons per case, and each coffee shop received an equal number of cases in each delivery. How many cases were delivered to each coffee shop each day?
Answers
the cartons were delivered in cases of 6.....384 / 6 = 64 cases
each of 16 coffee shops received an equal number of cases..
64/16 = 4.....so each coffee shop received 4 cases per day <==
Answer:
[tex]4\ cases[/tex]
Step-by-step explanation:
Step 1
Divide the total cartons of juice that the company produces in [tex]21[/tex] days by the total days
so
[tex]\frac{8,064}{21}\frac{cartons}{days}=384\frac{cartons}{day}[/tex]
Step 2
Divide the total cartons of juice that the company produces in one day by the total coffee shops
so
[tex]\frac{384}{16}\frac{cartons}{coffee-shop}=24\frac{cartons}{coffee-shop}[/tex]
Step 3
Divide the total cartons of juice that the company delivered per day to each coffee shop by six (number of cartons per case)
so
[tex]\frac{24}{6}=4\ cases[/tex]
The sampling distribution of the proportion follows the normal distribution when the values np and nq are greater than or equal to
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The sampling distribution of the proportion follows the normal distribution when the values np and nq are greater than or equal to 5.
Explanation:For the sampling distribution of the proportion to follow a normal distribution, the values np and nq must both be greater than or equal to 5.
For example, if you are performing a hypothesis test of a single population proportion, the conditions np >= 5 and nq >= 5 must be met to approximate the binomial distribution by the normal distribution.
Remember that np represents the number of successes in the sample and nq represents the number of failures in the sample.
78 million converted in scientific notation
Answers
The correct answer is:
7.8 × 10⁷
Explanation:
To write a number in scientific notation, we want the decimal behind the first non-zero digit in the number. The first non-zero digit in 78 is 7; this means we want 7.8. In order to have the decimal point behind the 7, we need to move the decimal 7 places. This is the exponent of 10 in our scientific notation, which gives us
7.8 × 10⁷
Choose the correct simplification of the expression b5 ⋅ b4. b b9 b20 b−1
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b^5 · b^4 = b^(5+4) = b^9
FYI - when dividing like terms, subtract the exponents.
The only time we multiply exponents is when they distribute across parentheses:
(x³)² = x^6
For this case we have the following expression:
[tex]b ^ 5b ^ 4[/tex]
We must consider the following property of the exponents.
In multiplication, when we have the same base, the exponents are added.Rewriting the given expression we have:
[tex]b ^ 5b ^ 4 = b ^ {(5 + 4)}\\b ^ 5b ^ 4 = b ^ 9[/tex]
Answer:
the correct simplification of the expression is:
[tex]b ^ 5b ^ 4 = b ^ 9[/tex]
Write a 2 column proof
Prove x=45
Answers
Opposite angles are equal, so
2x + 6 = 96
2x = 96 - 6
2x = 90
x = 90÷2
x= 45
Answer:
Look at the below steps.
Step-by-step explanation:
We have been given two intersecting lines:
The given angles are vertically opposite angles:
[tex]2x+6=96[/tex]
On simplification we get:
[tex]2x=90[/tex]
On further simplification we get:
[tex]x=\frac{90}{2}[/tex]
[tex]x=45[/tex]
Hence proved that x=45.
On a blueprint, a wall that is 45 feet long is 6 inches long. How long should a girder appear on the blueprint if the girder is actually 30 feet long?
Answers
Answer:
4 inches
Step-by-step explanation:
1 foot = 12 inches
45 feet --- 6 inches
From this we can conclude that the scale of the Blueprint is:
1 foot in actual = 1/90 foot on blueprint
If the girder is actually 30 feet long, then
30 feet --- (1/90*30*12) inches
30 feet --- 4 inches
Each side of a square is increasing at a rate of 5 cm/s. At what rate is the area of the square increasing when the area of the square is 25 cm2?
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da/dt=2sds/dt
we know each side increases at 5cm/s
da/dt=2s(5cm/s)
note, when a=25cm2, s=5cm
so da/dt=2(5cm)(5cm/s)=[50cm2/s]
"is it possible for four consecutive even numbers to have a sum that is ten more than the sum of the smallest two numbers"
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4 consecutive even numbers...x, x + 2, x + 4, x + 6
x + x + 2 + x + 4 + x + 6 = (x + x + 2) + 10
4x + 12 = 2x + 12
4x - 2x = 12 - 12
2x = 0
x = 0........no, it is not possible <==
Use the formula to evaluate the series -3+6-12+24-...-a7
Formula:Sn=a1(1-r^n)/1-r
In the formula for a finite series, a1 is the first term, r is the common ratio and n is the number of terms.
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-3 , +6 , -12 , +24 ,.... <---- to get the next term's value, you multiply it by -2
thus, is a geometric sequence, and -2 is the "common difference", and the first term is -3 of course.
so... what's the sum of the first 7 terms?
[tex]\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ a_1=-3\\ r=-2\\ n=7 \end{cases}[/tex]
[tex]\bf S_7=\sum\limits_{i=1}^{7}\ -3\cdot (-2)^{i-1}\implies S_7=-3\left( \cfrac{1-(-2)^7}{1-(-2)} \right) \\\\\\ S_7=-3\left( \cfrac{1-(-128)}{1+2}\right)\implies S_7=-3\left( \cfrac{129}{3} \right)\implies S_7=-3(43) \\\\\\ S_7=-129[/tex]
Data were collected on monthly sales revenues (in $1000s) and monthly advertising expenditures ($100s) for a sample of drug stores. the regression line relating revenues (y) to advertising expenditure (x) is estimated to be modifyingabove y with caret equals negative 48.3 plus 9.00 xy=−48.3+9.00x. what is the interpretation of the slope?
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Answer:
The interpretation of the slope is that for each $1000 you spend, your revenue increases by $900.
Step-by-step explanation:
We have that:
The revenue y is a function of the advertising expediture x, and the relationship is given by the following function:
y = -48.3 + 9x.
However, since y is in thousands and x in hundreds, i am going to rewrite
y = -48.3 + 0.9x
This means that if you spend no money in advertising, you lose -48.3 thousands of dollars. However, for each $1000 you spend, your revenue increases by $900.
So the interpretation of the slope is that for each $1000 you spend, your revenue increases by $900.
Write 96 39/40 as a decimal
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[tex] 96\frac{39}{40} = \frac{3,879}{40} = 96.975 \\ \\ Answer: 96.975[/tex]
How I got my result: Solve the mixed fraction: [tex] 96\frac{39}{40} [/tex] by multiplying the outer number ( [tex]96[/tex] ) by the denominator ([tex]40[/tex] ) then whatever [tex]96(40)[/tex] equals we add the numerator ([tex]39[/tex] ) to it, then get the answer and keep the denominator the same. Lastly, divide our new number by [tex]40[/tex] and it'll give you your result
Anyhow!
Good luck on your assignment and enjoy your day!
~[tex]MeIsKaitlyn:)[/tex]
Help and get 6 points!
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15b. 3
15c.
[tex]2 \frac{1}{2} [/tex]
Find the circumference of a circle with a diameter of 6 cm. Leave your answer in terms ofmc149-1.jpg.
9mc149-3.jpg cm
12mc149-4.jpg cm
24mc149-5.jpg cm
6mc149-2.jpg cm
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C = 6Pi
That looks like the last option, but I can't tell because the question looks funny with the mc149-2.jpg in the middle.
Answer:
D. [tex]6\pi\text{ cm}[/tex].
Step-by-step explanation:
We are asked to find the circumference of a a circle with a diameter of 6 cm.
We will use circumference of circle to solve our given problem.
[tex]C=\pi\cdot D[/tex], where,
C = Circumference of circle,
D = Diameter of circle,
Upon substituting [tex]D=6\text{ cm}[/tex] in above formula we will get,
[tex]C=\pi\cdot 6\text{ cm}[/tex]
[tex]C=6\pi\text{ cm}[/tex]
Therefore, circumference of our given circle would be [tex]6\pi\text{ cm}[/tex] and option D is the correct choice.
You randomly select one card from a standard deck. event a is selecting a fivea five. determine the number of outcomes in event
a. then decide whether the event is a simple event or not.
Answers
In a standard deck of cards, there are a total number of 52 different card. From those 52 cards, 4 cards are numbered as five. Therefore the probability of selecting a card of five is:
Probability = 4 / 52 = 1 / 13
Assuming that no replacement is made, so the probability changes with each draw, since the total number of cards decreases from 52 to 51 to 50 and so on. Therefore this is not a simple event.
a quarterback made 345 pass completions during one football season. if this was 60% of his attempts,how many passes did he attempt?
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divide completions by percentage
345 / 0.60 = 575 pass attempts
0.60x = 345
x = 345 / 0.60
x = 575 <== total attempts
working together Katherine and Julianna can plant new trees on there recently divorced land in 4 days working alone it would take Giuliana to days longer than it would take Catherine to plant the trees how long would it take Katherine working alone to plant the trees
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Two people = 1/4
One person = 1 / x + 2
The other person = 1 / x
Solve for x and you can find other person’s rate:
1 / x + 1 / x + 2 = 1 / 4
x = 3 + (sqrt17), 3 – (sqrt17)
x = 7.21
the other solution would be:
Let t be the time necessary by the 1st person to do the job alone
then
(t + 2) is the time required by the 2nd person alone
Let the completed job = 1
A classic work equation:
Each person will do a fraction of the job, the two fractions add up to 1
4/ t + 4 / t + 2 = 1
multiply by t(t+2), results
4(t+2) + 4t = t(t+2)
4t + 8 + 4t = t^2 + 2t
Arrange them as a quadratic equation
t^2 + 2t -8t - 8
t^2 -6t - 8 = 0
then use the quadratic equation, the answer will be 7.21.
It will take Katherine approximately 7 days working alone to plant the trees.
A line passes through the points (–1, –5) and (4, 5). The point (a, 1) is also on the line.
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The value of "a" is 2.
To find the value of "a," we can use the formula for the equation of a line, which is y = mx + b.
First, we need to find the slope, represented by "m," using the given points (-1, -5) and (4, 5). The slope formula is (y2 - y1) / (x2 - x1).
Substituting the coordinates, we have:
m = (5 - (-5)) / (4 - (-1))
m = 10 / 5
m = 2
Now that we have the slope, we can substitute it into the equation of the line with the point (a, 1):
1 = 2a + b
To solve for "a," we need to find the value of "b." We can substitute one of the given points into the equation and solve for "b."
Using (-1, -5):
-5 = 2(-1) + b
-5 = -2 + b
b = -3
Now we can substitute the values of "b" and "a" into the equation:
1 = 2a - 3
To isolate "a," we add 3 to both sides:
1 + 3 = 2a
4 = 2a
Dividing both sides by 2, we find:
2 = a
Therefore, the value of "a" is 2.
Joseph needs to find the quotient of 3216 divided by 8. In which place is the first digit of the quotient?
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Your bird feeder holds 3⁄4 quarts of birdseed. Your scoop holds 3⁄8 of a cup. How many scoops of birdseed will fill the feeder?
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[tex] \frac{3}{4} [/tex] ÷ [tex] \frac{3}{8} [/tex]
Next, since you are dividing, you would flip the second fraction and change it to multiplication.
[tex] \frac{3}{4} [/tex] × [tex] \frac{8}{3} [/tex]
Now, you would cross simplify it (you can also do this at the end instead, but this way is easier).
[tex] \frac{1}{1} [/tex] × [tex] \frac{2}{1} [/tex]
The last step would be to solve it.
[tex] \frac{1}{1} [/tex] × [tex] \frac{2}{1} [/tex] = [tex] \frac{2}{1} [/tex] = 2
You would need 2 scoops of birdseed to fill the feeder.
I hope this helps!
Answer
It is 2 scoops
Step-by-step explanation:
3⁄8 x 1⁄4 = 3⁄32 quart
3⁄4 ÷ 3⁄32 = 8 scoops
x2= 121 can anyone solve it
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I hope this helps :D
A contractor is building a circular swimming pool. The radius of the circle 12 feet. He needs to know the circumference in order to buy tile to put around the edge of the pool. What is the circumference if he uses =22/7 ?
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Diameter is twice the radius so that would be 24 feet
C = Pi X 24
C = (22/7) X 24
C = 75.428 Feet.
How does the graph of y=-(2x+6)^2+3 compare to the graph of the parent function?
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[tex]\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\ \bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the y-axis}[/tex]
[tex]\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by }{{ D}}\\ \left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\ \left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{{{ B}}}[/tex]
now, with that template in mind, let's see,
[tex]\bf y=\stackrel{parent~function}{x^2}\implies y=\stackrel{A}{1}(\stackrel{B}{1}x\stackrel{C}{+0})^2\stackrel{D}{+0} \\\\\\ y=\stackrel{A}{-1}(\stackrel{B}{2}x\stackrel{C}{+6})^2\stackrel{D}{+3}\quad \begin{cases} A=-1&\textit{reflection over x-axis}\\ B=2\\ C=6&\textit{horizontal shift of }\frac{C}{B}\to \frac{6}{2}\to 3\\ &\textit{to the left}\\ D=3&\textit{vertical shift upwards of 3 units} \end{cases}[/tex]
all the types of shapes that can be created by taking cross-sections of a cube
Answers
Answer:
✅ triangle
✅ pentagon
✅ hexagon
✅ trapezoid
❌ octagon
Step-by-step explanation:
please help. Wire is 12.5 cents a foot. How many feet can you buy for a dollar?
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***ANSWER ASAP****
Use synthetic division to solve (x^3-x^2-17x-15)/(x-5)
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5 | 1 -1 -17 -15
. | 5 20 15
- - - - - - - - - - - - - - - -
. | 1 4 3 0
which translates to
[tex]\dfrac{x^3-x^2-17x-15}{x-5}=x^2+4x+3[/tex]
Answer: [tex]1x^2+4x+3[/tex]
Step-by-step explanation: Given expression (x^3-x^2-17x-15)/(x-5).
We need to divide it x^3-x^2-17x-15 by x-5 using synthetic division .
In order to solve by synthetic division, we would write all the coefficients of given divisor polynomial:
And we divide them by 5 using synthetic division method.
______________
5 | 1 -1 -17 -15 Getting first number down.
| 5 20 -15 Multiplying each down number by
- - - - - - - - - - - - - - - - divisor 5.
1 4 3 0 5×1=5 , 5×2=20, 5×2=15
Subtracting those products from coefficients.
Now, writing the final polynomial degree 1 less than 3, that is 2.
So, [tex]1x^2+4x+3[/tex] would be our quotient.
Laura was making a recipe that said the ingredients were for 6 people, but she needed to make it for 8 people. The recipe called for 2 2/3 cups of milk and 1/4 cup of oil. How many cups of liquid ingredients did she need for 8 people?
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Milk:
2 2/3 cup are to 6 people as x cups are to 8 people
(2 2/3)/6 = x/8
(8/3)/6 = x/8
6x = 8 * 8/3
6x = 64/3
x = 32/9 = 3 5/9
3 5/9 cups of milk
Oil:
1/4 cup is to 6 people as x cups are to 8 people
(1/4)/6 = x/8
6x = 8 * 1/4
6x = 2
x = 2/6 = 1/3
1/3 cup of milk
Laura needs 35/9 cups (approximately 3.89 cups) of liquid ingredients for 8 people.
To find how many cups of liquid ingredients Laura needs for 8 people, follow these steps:
Therefore, Laura needs 35/9 cups (approximately 3.89 cups) of liquid ingredients for 8 people.
Raquel throws darts at a coordinate grid centered at the origin. Her goal is to create a line of darts. Her darts actually hit the coordinate grid at (–5, 0), (1, –3), (4, 5), (–8, –6), (0, 2), and (9, 6). Which equation best approximates the line of best fit of the darts? y = 0.6x + 0.6 y = 0.1x + 0.8 y = 0.8x + 0.1 y = 0.5x + 0.6
Answers
Solution:
The points at which Raquel Darts hit the coordinate grid having center at the origin are (–5, 0), (1, –3), (4, 5), (–8, –6), (0, 2), and (9, 6).
As we can see that not all points are collinear.
As line of best fit is the the line which passes through some points , may be not through the single point, or all the points.
Plotting all the options on coordinate grid i.e on a scatter plot and then determining , the line of best fit of the darts is
y= 0.6 x + 0.6 →→Option (A), the reason being it passes through a point (9,6).
Use the distributive property to create an equivalent expression to 54+18x
Answers
Just take out 18 from each term to get a binomial. Multiply what you factored out, 18, by the remaining binomial.
Answer:
An equivalent expression to 54+18x, using the distributive property is 18(3+x)
Step-by-step explanation:
In the problem we have the binomial (54+18x), and we are asked to use the distributive property, this means that we can find a factor wich is distributed in both terms of the binomial.
We know that any number, or in this case any polinomial (or binomial), can be multiplied times 1 and will stay the same number, and we only need to write this 1 in a way that could resolve our problem, in particular we can say that
[tex]1=\frac{18}{18}[/tex]
then we can distribute the denominator, so we calculate:
[tex](54+18x)=1(54+18x)=\frac{18}{18}(54+18x)=18(\frac{54}{18}+\frac{18x}{18})=18(3+x)[/tex]
And the equivalent expression to (54+18x) is 18(3+x).
You just won a contest! you will receive $100,000 a year for 20 years, starting today. if you can earn 12 percent on your investments, what are your winnings worth today?
Answers
C × {{1 - [1/(1 + r)t]}/r} +c
C = 100,0000
r = .12
t = 20
= 100000 * {{1 - [ 1/ (1 + .12)^19]}/ .12} + 100000
approximately 836,577.69
I am using a scientific calculator so just insert right the number and you will come up with the correct answer. The answer in this question is $836,577.69
a baseball team has 13 players; how many possible batting orders can the coach make if there are 9 players in the batting lineup ?
A. 514,874
B. 235,368
C. 259,459,200
D. 879,523
Answers
To answer this question, you will need to understand how to use permutation in probability. In this question, there will be 9 people out of 13 people that make an order for batting. In this case, if same people used but the batting order is different that could be considered different ways. Then the answer would be: P(13,9)= 13! / (13-9)!= 13!/4!= 259,459,200
Final answer:
The number of possible batting orders a coach can make with 13 players for 9 positions is found by calculating [tex]^{13}P_9[/tex], which equals 518,918,400. Thus, the correct answer is C. 259,459,200.
Explanation:
To determine how many possible batting orders a baseball coach can make with 13 players to fill 9 positions, we use the concept of permutations since the order in which the players are arranged matters. The formula for permutations of n items taken r at a time is [tex]^{n}P_r[/tex] = n! / (n - r)!, where the exclamation point indicates a factorial. In this case, we have 13 players and want to find out the number of ways to arrange 9 of them, so we calculate-
[tex]^{13}P_9[/tex]= 13! / (13 - 9)!.
We can simplify this by calculating the factorials: 13! = 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 and 4! = 4 × 3 × 2 × 1, so [tex]^{13}P_9[/tex] = 13! / 4!.
Instead of multiplying out both factorials completely, we can cancel out the common terms: (13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / (4 × 3 × 2 × 1) = (13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5) / 1.
Calculating the above gives us 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 = 518,918,400 ways to arrange the batting order. Therefore, the correct answer to how many possible batting orders can be made is C. 259,459,200.