Answer:
7x-y=-3
-y=-7x-3
divide by -1 through out
therefore : y=7x+3
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You are at a restaurant and the check comes to a total of $29. If you want to
leave a 19% tip, how much total money should you pay, to the nearest cent?
Answer:
Submit Answer
attempt 1 out of 2
(hp
Answer:
$34.51
Step-by-step explanation:
Okay, to find percentage of numbers in problems, all you have to do is multiply 29 by 0.19 to get 5.51, that's the tip
you then add 29 and 5.51 to get $34.51
the square root of 50
Answer:
The square root of 50 is approximately 7.07.
Answer:
7.07106781187...
Step-by-step explanation:
its an irrational number
Find the values of x for which g(x) = 5.
Answer:
The question is meaningless without the definition of the function g(x).
Match the system of equations with the number of solutions.
y = 6z+8
y = 6x-4
y = 3x + 2
y + 3x = -7
4z - 2y = 10
2z-y = 5
4z + y = 8
y=-2z+8
No Solution
Answer:
Step-by-step explanation:
The system of equations with no solution is:
y + 3x = -7
4z - 2y = 10
The system of equations with exactly one solution is:
y = 6z+8
y = 6x-4
y = 3x + 2
2z-y = 5
y=-2z+8
The system of equations with infinitely many solutions is:
4z + y = 8
A school supervisor wants to determine the percentage of students that bring their lunch to school. What method would assure random selection of a sample population?
To assure the random selection of a sample population for determining the percentage of students who bring their lunch to school, a method known as simple random sampling can be employed.
Simple random sampling is a technique that provides each member of the population an equal chance of being selected for the sample. Here's an explanation of how simple random sampling can be implemented in this scenario:
Define the population: The school supervisor needs to clearly define the population of interest, which would be all the students in the school.Assign a unique identifier: Each student should have a unique identifier, such as a student ID number, to differentiate them from one another.Generate a sampling frame: A sampling frame is a list of all the unique identifiers of the students. This could be obtained from the school's records or databases.Determine the sample size: The school supervisor needs to decide on the desired sample size, ensuring it is representative of the population while being practical to manage.Use a random selection method: Employ a random selection method, such as using a random number generator or a random number table, to select the required number of unique identifiers from the sampling frame.Contact selected students: Once the sample has been selected, the chosen students can be contacted to participate in the survey or data collection regarding whether they bring their lunch to school.know more about percentage here:
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A high school robotics club sold cupcakes at a fundraising event.
They charged $2.00 for a single cupcake, and $4.00 for a package of 3 cupcakes.
They sold a total of 350 cupcakes, and the total sales amount was $625.
The system of equations below can be solved for , the number of single cupcakes sold, and , the number of packages of 3 cupcakes sold.
Multiply the first equation by 2. Then subtract the second equation. What is the resulting equation?
x + 3y = 350
2x + 4= 625
Type your response in the box below.
$$
The resulting equation after multiplying the first equation by 2 and subtracting the second equation is:
-5y = -375
1. Given equations:
- x + 3y = 350 (Equation 1)
- 2x + 4y = 625 (Equation 2)
2. Multiply Equation 1 by 2:
- 2(x + 3y) = 2(350)
- 2x + 6y = 700 (Equation 3)
3. Subtract Equation 2 from Equation 3:
- (2x + 6y) - (2x + 4y) = 700 - 625
- 2x - 2x + 6y - 4y = 75
- 2y = 75
4. Simplify Equation 4:
-2y = 75
5. To isolate the variable y, divide both sides of Equation 5 by -2:
y = 75 / -2
y = -37.5
6. Therefore, the resulting equation is:
-5y = -375
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What rule can you come up with if you have to multiply to get a positive number and add to get a negative number?
Answer:
Two signs
When adding positive numbers, count to the right.
When adding negative numbers, count to the left.
When subtracting positive numbers, count to the left.
When subtracting negative numbers, count to the right.
Step-by-step explanation:
Fondue pot
Regular price: $92
Discount: 45%
Sales tax: 6%
Final price:
The cost of the fondue pot after the 45% discount and 6% sales tax is calculated using the following equations:
$92 × 0.45 = $41.40 $41.40 × 0.06 = $2.48$41.40 + $2.48 = $43.88In this example, the original price of the fondue pot is $92 and the discount is 45%, which would make the discount amount $41.40. The sales tax is 6%, which would be $2.48
Therefore, the final price of the fondue pot would be $43.88
Hope this helps! Have a great day. :)midpoint (-4.-27), endpoint (-5, -19)
Answer:
(-3,-35), and the slope is -8/1
Step-by-step explanation:
If you're trying to find the other endpoint, that's it, and the slope is -8/1
Ejemplo: catalina compro una piscina para
ponerla en el jardín de su casa.
-Piscina cilíndrica 206cm de diámetro y 60cm
de profundidad además construirá una zona de
cemento y cerco de seguridad alrededor de la
piscina.
¿Cuál es el volumen máximo de agua que
puede contener la piscina? (considere T=3)
¿cuál es la extensión del cerco de seguridad?
(considere П=3)
The length of the fence must be 618cm
The volume that it can hold is 1,909,620 cm³
How to find the volume and the length of the fence?First, the fence is just equal to the circumference of the cylinder, remember that the circumfernce of a circle of diameter D is:
C = П*D
Here we use П = 3, then:
C = П*206cm
C = 3*206cm = 618cm
Now the volume, for a cylinder of diameter D and height H, the volume is:
V = П*(D/2)²*H
Replacing the values that we know we will get:
V = 3*(206cm/2)²*60cm = 1,909,620 cm³
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Help me!! Show work too please!!
Alyssa buys a package of balloons for a party. She has 22 red balloons, 18 blue balloons, and 24 green balloons. What
is the ratio of green balloons to the total number of balloons?
11 to 32
3 to 5
3 to 8
1 to 3
The ratio of green balloons to the total number of balloons is 3 to 8.
What is Ratio?
By comparing two amounts of the same units, the ratio can be used to calculate how much of one item is included in the other. There are two different categories for ratios. The first is a part-to-part ratio, whereas the second is a part-to-whole ratio.
Given, the number of red balloons = 22
the number of blue balloons = 18
the number of green balloons = 24
Total number of balloons = 22 + 18 + 24 = 64
Now,
the ratio of green balloons to the total number of balloons =
= (the number of green balloons)/(Total number of balloons)
= 24/64
= 3/8
= 3:8
Hence, the required ratio is 3 to 8.
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The following table (Table C2.1) is a partial listing of the sales transactions for the Watson Distributing Company for the year ended December 31, 200X. Select the first three sample items from the population using the following techniques. a. The systematic selection technique with a random starting point of 13 and a sampling interval of 30. b. The probability-proportional-to-size sampling selection technique with a random starting dollar of $17,240 and a sampling interval of $220,000. c. The random-number table selection technique using Figure 2.1 on pp. 24-25. Using the last four digits of the invoice number, begin at row (0004) and column (01), continuing across the row and then down to the beginning of the next row.
The three methods are used to select a sample from a larger population in order to make inferences about the population as a whole.
Probability-proportional-to-size sampling is a method where the probability of an item being selected is proportional to its size. In this case, the size is represented by the dollar amount of the sale.
Systematic selection involves selecting items at regular intervals. In this case, the starting point is 13 and the interval is 30. Every 30th item is selected, starting from the 13th item.
The starting dollar is $17,240 and the interval is $220,000. Every item with a sales amount that falls within the interval is selected with a probability proportional to its size.
The random-number table selection technique involves using a random number table to select items. The last four digits of the invoice number are used to determine which item is selected.
The selection process starts at row (0004) and column (01) and continues across the row and then down to the next row.
The probability of an item being selected in each method differs and is important in ensuring a representative sample is obtained.
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Answer for brainliest
jane and her friends are diving to explore a wreckage from a ship that is 40 meters below sea level the platform they dive from is 10 meters above sea level how far do they have to go to reach wreckage
Answer:
They have to go 30 m below sea level to reach wreckage.
Step-by-step explanation:
jane and her friends are diving to explore a wreckage from a ship that is 40 meters below sea level the platform they dive from is 10 meters above sea level.
Below sea level means = -40 m
Above sea level means = +10 m
It means,
-40 m + 10 m
= -30 m
Hence, they have to go 30 m below sea level to reach wreckage.
A lamp has a height of 28 inches. About how many centimeters tall is the lamp? (One inch is approximately 2.5 centimeters.)
Answer:
70cm
Step-by-step explanation:
Given height of the lamp;
Height of lamp = 28inches
Unknown:
The height in cm;
Solution:
1 inch = 2.5cm
So;
28 inches will be 28 x 2.5 = 70cm
What is the period of y=-3cos(1/4x)
Answer:
Step-by-step explanation:
The standard form is y = a cos(bx + c) + d
the amplitude = |a| = 3
The period = \(\frac{2\pi }{b}\) = \(\frac{2\pi }{\frac{1}{4} }\) = \(8\pi\)
Three students that share a townhouse find that their electric bill for October is $2.23 less than the September bill. The
total of both bills is $292.43, and each bill is split evenly among the roommates. How much did each owe in September?
Answer:
$47.48
Step-by-step explanation:
Let x = the amount owed Sept.
x + x - 2.23 = 292.43 Combine like terms
2x -2.23 = 292.43 Add 2.23 to both sides
2x - 2.23 + 2.23 = 292.43 + 2.23
2x = 294.66 Divide both sides by 2
\(\frac{2x}{2}\) = \(\frac{294.66}{2}\)
x = 147.33 this is the bill for September
Oct. 147.33 -2.23 = 145.10 This is the Bill for Oct.
Total:
147.33 + 145.10 = 292.43
292.43 ÷ 3 = 97.48 This is what each will owe rounded to the nearest penny.
The complex numbers u and v are given by u = 1 + 2sqrt3i and v = 3 + 2i. In an Argand diagram,
u and v are represented by the points A and B. A third point C lies in the first quadrant and is
such that BC = 2AB and angle ABC = 90Å. Find the complex number z represented by C, giving
your answer in the form x + iy, where x and y are real and exact
Simplify: |5.74 + 2.89| – |16.20 + 41.32|
Answer:
-48.89
Step-by-step explanation:
|5.74 + 2.89| – |16.20 + 41.32
|8.63| – |57.52|
= - 48.89
(x+5)(x-2) please solve this equation fast
\( \large \bf \implies{ {x}^{2} + 3x - 10}\)
Step-by-step explanation:\((x + 5)(x - 2)\)
Step 1) : Using the identity
\( \bf \longrightarrow{(x+a)(x+b) = x² + (a+b)x + ab}\)
Step 2) : Simplify it with using the identity told earlier in step 1) .
\( \bf \longrightarrow(x + 5)(x - 2) \\ \\ \bf \longrightarrow{x}^{2} + (5 + ( - 2))x + (5)( - 2) \\ \\\bf \longrightarrow {x}^{2} + (5 - 2)x + ( - 10) \\ \\\bf \longrightarrow {x}^{2} +3x - 10\)
Step 3) : We have got the answer in step 2) .
\( \large\bf \longrightarrow { {x}^{2} + 3x - 10}\)
A chopstick model of a catapult launches a marshmallow in a classroom. The path of the marshmallow can be modeled by the quadratic y=−0.07x2+x+2.2,
where y represents the height of the marshmallow, in feet,
and x represents the horizontal distance from the point it is launched, in feet.
When the marshmallow hits the ground, what is its horizontal distance from the point where it was launched?
The horizontal distance from the point where it was launched is 7.143.
We have given that,
The path of the marshmallow can be modeled by the quadratic y=−0.07x^2+x+2.2,
x represents the horizontal distance from the point it is launched, in feet.
What is the horizontal distance?Horizontal distance means the distance between two points measured at a zero percent slope.
(1) Put x = 7.143 in given equation
y= -0.07(7.143)^2+7.143+2.2
y= 2.2
y= 5.771
We have to determine the what is its horizontal distance from the point where it was launched.
The value of x is called horizontal distance.
Therefore the horizontal distance from the point where it was launched is 7.143.
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Katrina buys a 76-ft roll of fencing to make a rectangular play area for her dogs. Use
2({+w) = 76 to write a function for the length, given the width. Graph the function.
What is a reasonable domain for the situation? Explain.
Therefore , As a result 5, 10, and 15 make up the reasonable domain for the function 2 (l + w) = 64..
The definition of functionA connection between a group of sources and one output for each input is referred to as a function. A function is, to put it simply, a collection of equation connected to a single, unique output. In mathematics, a function is a statement, rule, or law that describes the connection between two variables (the dependent variable). One input leads to one output when a rule of this type is used. by Alex Federspiel, the photographer. This statement gives an example of y=x2. There is just one output for y from any input for x. According to our definition, y is a function of x since x is the input value.
Here,
We have the following for the rectangle's perimeter:
2 ( l + w ) = 64
Here,
W = width, and L = length.
We must determine the length and breadth values necessary to make the rectangle's perimeter 64.
Now,
2 ( l + w ) = 64
l + w = 32
Thus, the sum of the length and breadth measurements must equal 32.
The possible widths are 5, 10, 15, 20, and 25.
Now,
l + 5 = 32
l = 27
l + 10 = 32
l = 22
l + 15 = 32
l = 17
l + 20 = 32
l = 12
l + 25 = 32
l = 7
We think about
The domain has widths of 5, 10, 15, 20, and 25.
The range for length is: 27, 22, 17, 12, and 7.
Values for width and length are used as the x- and y-axes, respectively.
Below is a graph of the data.
The following is the reasonable domain for the aforementioned situation:
5, 10, 15, 20, and 25
Below is a graph of the function 2 (l + w) = 64.
Therefore , As a result, 5, 10, and 15 make up the reasonable domain for the function 2 (l + w) = 64.
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PLEASE HELP SOON Find the value of x. Round to the nearest tenth. 27° х 34° 11 X = ? [?] 9 Law of Sines: sin A sin C sin B b a Enter
The picture of the problem has been attached below :
Answer:
13.5
Step-by-step explanation:
Applying the sine rule to solve for x
SinA /a = SinB / b = SinC/ c
Sin 34 / x = Sin 27/11
Cross multiply :
11 * sin34 = x * sin 27
6.1511219 = 0.4539904x
Divide both sides by 0.4539904
6.1511219/0.4539904 = x
13.549 = x
x = 13.5
7) First factor out the greatest common factor from each term. Then factor the remaining polynomial.
3x2+6x-24
Answer please
Answer: -138
Step-by-step explanation:
pls help me with this on my account
gaston is making a tent for boy scout camp. he has been instructed to use canvas on all of the sides except the bottom, which will be made out of a different material. how much canvas will gaston need?
On question 4 what does it mean by that I’m confused on the concept
I'll draw the situation, so you can understand it:
The black line is the pole, the violet line represents the 7ft from the base of the pole, and the green line is the string, which we need to calculate the length.
To solve this, we can use the pythagorean theorem:
\(\begin{gathered} x=\sqrt[]{10^2+7^2} \\ x=\sqrt[]{149}\approx12.2 \end{gathered}\)The string is approximately 12.2 ft long
The length of a rectangle is four less than twice its width. If the perimeter of the rectangle is 76 units, what is its width?
a
13
b
14
c
20
d
26
e
28
7 students are running for student council. how many different ways can their names be listed on the ballot
Step-by-step explanation:
7! = 5040 ways
the length of a mathematical text book the is approximately 18.34cm and its width is 11.75 calculate ?
the approximate perimeter of the front cover?
the approximate area of the front cover of the book?
Answer:
Perimeter=60.18cm
Area=215.495cm^2
Step-by-step explanation:
Given:
Length of book=18.34cm
Breadth=11.75cm
Solution:
Perimeter=2(l +b)
P=2(18.34+11.75)
P=2 x 30.09
P=60.18cm
Area=l x b
A=18.34 x 11.75
A=215.495 cm^2
Thank you!
elements discovered by marie curie
Answer:
in 1898 the Curies discovered two new radioactive elements: radium (named after the Latin word for ray) and polonium (named after Marie's home country, Poland).
Step-by-step explanation:
Radium
Polonium