Answer:
72
Step-by-step explanation:
9 x 8 = t
t = 72
A 12 1/2 mile stretch of road needs repaving . A company bids on the repaving project saying they could replace 2 1/4 miles of road per week. How many weeks will the company take to completely replace the stretch of road?
2 1/4 miles => 1 week
1 mile => 1 ÷ 9/4
( 9/4 is an improper fraction of 2 1/4 )
12 1/2 miles => ( 1 ÷ 9/4 ) × 25/2
= 50/9
= 5 5/9 weeks
( 25/2 is an improper fraction of 12 1/2 )
Therefore, it will take 5 5/9 weeks for the company to replace the stretch of road.
( you can round it off to 6 weeks if the qn specify to give to the nearest whole number )
Determine the domain and range of the quadratic function. \(f(x)=2x^{2}-4x+2\)
The domain of a quadratic function is (-∞, +∞), and the range depends on the coefficient a and can be [c, +∞) or (-∞, c] depending on the direction of the parabola.
To determine the domain and range of a quadratic function, we consider the characteristics of the function and its graph.
The domain of a quadratic function, represented by the variable x, is the set of all possible input values for which the function is defined. Since quadratic functions are defined for all real numbers, the domain of a quadratic function is (-∞, +∞) or the set of all real numbers.
The range of a quadratic function, represented by the variable y or f(x), is the set of all possible output values that the function can take. For a quadratic function in the form f(x) = ax^2 + bx + c, where a ≠ 0, the range depends on the coefficient a. If a > 0, the parabola opens upward, and the range is [c, +∞). If a < 0, the parabola opens downward, and the range is (-∞, c].
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HELP ME PLEASE DUE TODAY !!! FIRST PERSON TO GIVE ME THE ANSWER I WILL GIVE YOU BRAINILYEST OR WHATEVER!!!!
Answer:
12
Step-by-step explanation:
30/25 = X/10
X equals 12
2. The prices, in dollars per unit, of the three commodities X, Y and Z are x, y and z,
respectively
Person A purchases 4 units of Z and sells 3 units of X and 3 units of Y.
Person B purchases 3 units of Y and sells 2 units of X and 1 unit of Z.
Person C purchases 1 unit of X and sells 4 units of Y and 6 units of Z.
In the process, A, B and C earn $40, $50, and $130, respectively.
a) Find the prices of the commodities X, Y, and Z by solving a system of linear
equations (note that selling the units is positive earning and buying the units is
negative earning).
Answer:
Price of X is $24.81
Price of Y is $3.66
Price of Z is $11.36
Step-by-step explanation:
for person A, we know that earns $40, then we can write the equation:
-4*z + 3*x + 3*y = $40
For person B, we know that earns $50, then:
1*z + 2*x - 3*y = $50
For person C, we know that earns $130, then:
6*z - 1*x + 4*y = $130
Then we have a system of equations:
-4*z + 3*x + 3*y = $40
1*z + 2*x - 3*y = $50
6*z - 1*x + 4*y = $130
To solve the system, we need to isolate one of the variables in one of the equations.
Let's isolate z in the second equation:
z = $50 - 2*x + 3*y
now we can replace this in the other two equations:
-4*z + 3*x + 3*y = $40
6*z - 1*x + 4*y = $130
So we get:
-4*($50 - 2*x + 3*y) + 3*x + 3*y = $40
6*($50 - 2*x + 3*y) - 1*x + 4*y = $130
Now we need to simplify both of these, so we get:
-$200 + 11x - 9y = $40
$350 - 13*x + 28*y = $130
Now again, we need to isolate one of the variables in one of the equations.
Let's isolate x in the first one:
-$200 + 11x - 9y = $40
11x - 9y = $40 + $200 = $240
11x = $240 + 9y
x = ($240 + 9y)/11
Now we can replace this in the other equation:
$350 - 13*x + 28*y = $130
$350 - 13*($240 + 9y)/11 + 28*y = $130
Now we can solve this for y.
- 13*($240 + 9y)/11 + 28*y = $130 - $350 = -$220
-13*$240 - (13/11)*9y + 28y = - $220
y*(28 - (9*13/1) ) = -$220 + (13/11)*$240
y = ( (13/11)*$240 - $220)/(28 - (9*13/1) ) = $3.66
We know that:
x = ($240 + 9y)/11
Replacing the value of y, we get:
x = ($240 + 9*$3.66)/11 = $24.81
And the equation of z is:
z = $50 - 2*x + 3*y = $50 - 2* $24.81 + 3*$3.66 = $11.36
Then:
Price of X is $24.81
Price of Y is $3.66
Price of Z is $11.36
Two brothers, Charles and David, each inherit $5000. Charles invests his inheritance in a savings account with an annual return of 2.1 %, while David invests his inheritance in a CD paying 5.4 % annually. How much more money than Charles does David have after 1 year?
Answer: $165
Step-by-step explanation:
It appears that the interest rate is simple interest, that is calculated at the end of each year.
if that is the case, then Mark will receive an interest payment of $5000 x 2.1 = $105
Charles will receive an interest payment of $5000x 0.054 = $270
so, Charles will receive $270 - 105 = $165 more than Mark
An equilateral triangle forms a semi-regular tessellation with which of the following regular polygons
Answer:
Square and hexagon
Step-by-step explanation:
Makayla has 2 yards of ribbon to use for a craft project she cuts the ribbon into pieces that are 1/4 yard long how many pieces of ribbon does Makayla have
Answer:
8
Step-by-step explanation:
2/ 1/4 = 8
Answer: 8
Step-by-step explanation: 2 / 1/4 = 8
A ski club charges $70 for a lift ticket and $20 per hour to ski. Jim paid at least $130 last week to ski. How many hours would he have skied.
Answer:
Step-by-step explanation: $130-$70 lift = $60/$20 per hour= 3 hours ski time
The table shows conversions of common units of capacity.
Answer:
Could you add an image plz? ty
Answer:
The conversion factor to convert cups to liters is 0.237
Step-by-step explanation:
Given : A table showing conversions for common units of capacity.
Units of capacity
Customary System Units Metric System Units
1 gallon 3.79 liters
1 quart 0.95 liters
1 pint 0.473 liters
1 cup 0.237 liters
We have to find the conversion factor to convert cups to liters.
Consider the given table.
Since, given One cup is equal to 0.237 liters.
So , the conversion factor to convert cups to liters is 0.237
For example to convert 10 cups to liters, we can multiply the number of cups by 0.237 to get cups in liters.
That is 10 cup = 10 × 0.237 = 2.37 liters.
Thus, 10 cups is equal to 2.37 liters.
Hence, The conversion factor to convert cups to liters is 0.237
Please give me brainliest
Write down the correct type of angle for angles A to E. A Obtuse angle Reflex angle B Right angled tr Obtuse angle B Acute angle Submit Answer
Katie make the cake her brother a 1/8 of the cake her father ate one fourth of the cake and her mother eat 1/8 of the cake how much cake is left
Answer:
1/2
Step-by-step explanation:
Well first lets break it down into steps!
We have 1 cake.
Brother ate: 1/8
Mom ate: 1/8
Dad ate: 1/4
Now we know that 1/8 + 1/8 = 1/4.
So her brother and mom combined ate 1/4th of the cake.
Her dad also ate 1/4th.
So we have 1 - (1/4) - (1/4) = 2/4 = 1/2.
1/2 of the cake is left.
A waitress sold 11 ribeye steak dinners and 14 grilled salmon dinners, totaling $551.11 on a particular day. Another day she sold 15 ribeye steak dinners and 7 grilled salmon dinners, totaling $581.47. How much did each type of dinner cost?
Answer:
A ribeye steak dinner costs $32.23 and a grilled salmon dinner costs $14.04.
Step-by-step explanation:
Let's use variables to represent the cost of each dinner. Let's say that the cost of a ribeye steak dinner is "r" and the cost of a grilled salmon dinner is "s".
From the first day's sales, we know:
11r + 14s = 551.11From the second day's sales, we know:
15r + 7s = 581.47We now have two equations with two variables, which we can solve using elimination or substitution.
Let's use elimination. If we multiply the first equation by 15 and the second equation by 11, we can eliminate the "r" variable:
165r + 210s = 8266.65165r + 77s = 6396.17Subtracting the second equation from the first, we get:
133s = 1870.48Dividing both sides by 133, we get:
s = 14.04So a grilled salmon dinner costs $14.04.
We can substitute this value back into one of the original equations to solve for "r". Let's use the first equation:
11r + 14(14.04) = 551.1111r + 196.56 = 551.1111r = 354.55r = 32.23So a ribeye steak dinner costs $32.23.
Therefore, a ribeye steak dinner costs $32.23 and a grilled salmon dinner costs $14.04.
A bowl contained 59.16 grams of salt. Then, Omar poured in another 13.2 grams. How much salt does the bowl contain now?
Answer: 72.36
Step-by-step explanation:
To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.
The initial amount of salt in the bowl was 59.16 grams.
Omar added 13.2 grams of salt to the bowl.
To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36
Therefore, the bowl contains 72.36 grams of salt now.
a quadrilateral has diagonals that are perpendicular but not congruent. This quadrilateral could be
Answer:
Rhombus
Step-by-step explanation:
This could be a rhombus since in a square, the lines are congruent and perpendicular, so we move on to a broader shape, rectangles. the diagonals are congruent but not perpendicular, so we go to rhombus, and in a rhombus the diagonals are not congruent but they are perpendicular.
how to convert h(x)=(x - 2)^2 - 4 to standard form
To convert a function to standard form, we move all terms to the right hand side and simplify. Since all terms in this function are all on the right side already, we can begin to simplify as follows;
\(\begin{gathered} (x-2)^2-4 \\ (x-2)(x-2)-4 \\ (x^2-2x-2x+4)-4 \\ x^2-4x+4-4 \\ x^2-4x \\ \text{The function now can be expressed in standard form as;} \\ h(x)=x^2-4x \\ \text{The y-intercept is derived at the point where x equals zero} \\ \text{That is, where the function crosses the y-axes} \\ \text{When x = 0, then;} \\ h(0)=0^2-4(0) \\ h(0)=0-0 \\ h(0)=0 \\ \text{Therefore the y-intercept is 0} \end{gathered}\)PLS HELPS WILL GIVE BRAINLIEST
Answer:
It is the top right graph.
solve for h h and 26 is −52
Answer:
If you mean h multiplied by 26 is -52 then h is -2
If it is added to 26 then h is -78
If it is subtracted then h is -26
Step-by-step explanation:
A survey of 65 customers was taken at a bookstore regarding the types of books purchased. The survey found that 41 customers purchased mysteries, 33 purchased science fiction, 25 purchased romance novels, 19 purchased mysteries and science fiction, 15 purchased mysteries and romance novels, 10 purchased science fiction and romance novels, and 5 purchased all three types of books.
a) How many of the customers surveyed purchased only mysteries?
b) How many purchased mysteries and science fiction, but not romance novels?
c) How many purchased mysteries or science fiction?
d) How many purchased mysteries or science fiction, but not romance novels?
e) How many purchased exactly two types of books?
Answer:
a) 41 customers purchased only mysteries.
b) 19 customers purchased mysteries and science fiction, but not romance novels.
c) 19 customers purchased mysteries and science fiction.
d) 19 customers purchased mysteries and science fiction, but not romance novels.
e) 15 and 10 customer purchased mysteries
ANSWER FAST AND I WILL MARK 100 BRAINLIEST!!!
Question 2 (2.02, 2.05): The linear function f(x) represents the average test score in your language arts class, where x is the number of the test taken. The linear function g(x) represents the average test score in your social studies class, where x is the number of the test taken.
Answer:
A) 80.6, B) 83----------------------
Part AUse the equation f(x) = 0.3x + 80 and find its value at x = 2f(2) = 0.3*2 + 80 = 0.6 + 80 = 80.6Part BUse the table and find the value of g(x) when x = 2g(2) = 83Answer:
A. 80.6
B. 83
Step-by-step explanation:
Part AAverage Test Score (Language Arts class) function:
\(f(x)=0.3x+80\)
To determine the test average after completing test 2, substitute x = 2 into the given function:
\(\begin{aligned} \implies f(2)&=0.3(2)+80\\&=0.6+80\\&=80.6\end{aligned}\)
Part BAverage Test Score (Social Studies class) table:
\(\begin{array}{|c|c|}\cline{1-2} x&g(x)\\\cline{1-2} 1&85\\\cline{1-2} 2&83\\\cline{1-2} 3&81\\\cline{1-2} \end{array}\)
To determine the test average after completing test 2, find the value of the function from the table when x = 2:
\(\implies g(2)=83\)
i think it’s c because it doesn’t have any decimals or it ain’t a negative. I WILL MARK BRAINLIEST. pls answer asap
Answer: C is the answer
In the figure, angle ESY is vertical to angle TSL. Find the value of x given that M angle ESF=125 degrees. Then find m Angle ESY, m Angle TSL, m Angle EST, m Angle YSF, and m Angle FSL.
Find the value of X
The measure of Angle YEA is 70 degrees in the given parallelogram
Given Parallelogram EASY with diagonal ES
∠AES = 40
∠Y = 110
∠ESY = 40 by Z theorem of a parallelogram
∠A = ∠Y by property of parallelogram
∠A = <110 as ∠Y=110
∠YES = 180 - ∠Y
∠YES = 180 - 110 - 40
∠YES = 30
∠YEA = ∠YES + ∠AES
∠YEA = 30 + 40
∠YEA = 70
Hence, the measure of Angle YEA is 70 degrees
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In a particular year, the mean score on the ACT test was 19.6 and the standard deviation was 5.2. The mean score on the SAT mathematics test was 546 and the standard deviation was 126. The distributions of both scores were approximately bell-shaped. Round the answers to at least two decimal placesFind the z-score for an ACT score of 26. The Z-score for an ACT score of 26 is ______ .
Answer:
0.11
Step-by-step explanation:
Let the random variable score, X = 26; mean, ∪ = 19.6; standard deviation, α = 5.2
By comparing P(0≤ Z ≤ 26)
P(Z ≤ X - ∪/α) = P(Z ≤ 26 - 19.6/5.2)
= P(Z ≤ 1.231)
Using Table: P(0 ≤ Z ≤ 1) = 0.39
P(Z > 1) = (0.5 - 0.39) = 0.11
∴ P(Z > 26) = 0.11
The PTO is selling raffle tickets to raise money for classroom supplies. A raffle ticket costs $4. There is 1 winning ticket out of the 280 tickets sold. The winner gets a prize worth $62. Round your answers to the nearest cent.
What is the expected value (to you) of one raffle ticket? $
Calculate the expected value (to you) if you purchase 12 raffle tickets. $
What is the expected value (to the PTO) of one raffle ticket? $
If the PTO sells all 280 raffle tickets, how much money can they expect to raise for the classroom supplies? $
The expected values of the raffle ticket for you are given as follows:
One ticket: -$3.76.12 tickets: -$45.12.For the PTO, the expected values are given as follows:
One ticket: $3.76.12 tickets: $45.12.What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
For you, the distribution is given as follows:
P(X = 62) = 1/280.P(X = -4) = 279/280.Hence the expected value for one ticket is given as follows:
E(X) = 62/280 - 4 x 279/280
E(X) = -$3.76.
For twelve tickets, the expected value is given as follows:
12 x -3.76 = -$45.12.
For the PTO, we use the inverse signals, as the distribution is the inverse, that is:
P(X = -62) = 1/280.P(X = 4) = 279/280.More can be learned about the expected value of a discrete distribution at https://brainly.com/question/27899440
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Laura is bowling 5 games. Her first 4 scores were 118, 82, 134, and 85.
To end up with an average score of at least 116, what is the lowest score Laura will need in the fifth game?
New York City is 2.727272.% of the United States' population. NYC's population is 9 million people. What is the population of the United Sates?
The population of US is 330 million approx.
What is percent?A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." The number "%" is used to symbolize it.
Given
population of new york = 2.727272% population of US
population of new york = 9 million
population of US = 1/2.727272% of new york
population of US = 36.6666 x 90,00,000
population of US = 33,00,00,087.9 = 330 million approx
Hence population of US is approx 330 million.
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I am a number. If you square the product of 3 and 4 you will know what I am. I am __________.
Answer:
144
Step-by-step explanation:
product of 3 and 4 = 12
square of 12 = 144
Please help me to do this i really need it.
First correct Answer gets Brainliest.
Answer:
Step-by-step explanation:
-3≤ x = graph 6
-3 > x = graph 3
x≥ 3 = graph 2
x ≤ 3 = graph 4
3 > x = graph 1
x > 3 = graph 5
the closed circles means greater/less than or equal to
the open circle means greater/less than
the direction of the arrow tells you if the number is greater than x or less than x
write a quadratic equation in the form x^2+bx+c=0 that has the following roots: {-7,6}
Answer:
f(x) = x^2 -12x + 85
reverse engineer this, like Prof. Sheldon Cooper figuring out Howard's card trick
x=6+or - 7i
x-6 = + or - 7i
square both sides
(x-6)^2 = -49
x^2 -12x + 36 = -49
x^2 -12 + 85
giving brainliest plz answer
Answer:
Surprisingly someone asked the same question.
Step-by-step explanation:
Credit to the person who actually answered.
The tables of ordered pairs represent some points on the graphs of two lines. What is the solution to the system of equations represented by the two lines? There are no zeroes on the chart. What do I do
To find the solution to the system of equations represented by the two lines based on the given tables of ordered pairs, you can follow these steps:
Examine the tables and identify a pattern or relationship between the x-values and y-values for each line.Determine the slope (rate of change) of each line by calculating the difference in y-values divided by the difference in x-values for any two points on the line.Once you have the slopes, compare them to see if they are equal or different.If the slopes are different, the lines intersect at a single point, which represents the solution to the system of equations.If the slopes are equal, the lines are parallel, and there is no solution to the system of equations.If the slopes are different, you can find the intersection point by solving the system of equations using either substitution, elimination, or another suitable method.For such more question on equations
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