A book cost $2.00.
What are variables in maths?In Maths, a variable is an alphabet or term that represents an unknown number or unknown value or unknown quantity. The variables are specially used in the case of algebraic expression or algebra. For example, x+9=4 is a linear equation where x is a variable, where 9 and 4 are constants.
What are the 2 basic types of variables?Variables may be classified into two main categories: categorical and numeric. Each category is then classified in two subcategories: nominal or ordinal for categorical variables, discrete or continuous for numeric variables.
Given the no of books purchased by
Alana =4
Petra =2
Angus = 16
So, the total price of 4 books of Alana =$4
Total price for Petra = $2
Total price of Alana and Petra =4x+2x
=6x
Total price for Angus = 16x
But given Angus received a discount of $15
So price post discount = 16x- 15
According to the question
16x-15 = 6x +5
Adding 15 both sides
16x +15-15 = 6x + 5+15
16x= 6x+20
Subtracting 6x both sides
16x - 6x = 6x - 6x + 20
10x = 20
i.e x=2
Cost of one book = $2
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find the perimeter (p) of a rectangle with a length (1) of 12m and a width (w) of 8.4m using the formula p=21+2w
Answer:
The answer is 40.8 m.
Step-by-step explanation:
To find the perimeter of the rectangle, use the formula P= 2([tex]l[/tex])+ 2([tex]w[/tex]). Plug in the information given in the question, and the equation will look like
P= 2(12m) + 2(8.4m)
Solve the equation, and the final answer will be 40.8 m.
In the figure below the measure of arc AD = 110∘. What is the measure of ∠A in degrees? (4 points) 55 90 70 35
Answer:
35
Step-by-step explanation:
180 - 110 = 70
Arc DB= 70
70 / 2 = 35
A newsletter publisher believes that more than 47% of their readers own a personal computer. Is there sufficient evidence at the 0.05 level to substantiate the publisher's claim?
There is no sufficient evidence that we can use in order to substantiate the claim of the publisher,
How to write the hypothesisThe null hypothesis H0: p = 0.47
The alternative hypothesis is H1: p > 0.47
The question requires us to test the fact that more than 47 percent of the readers have their own personal computer. This is therefore the claim that is to be tested here.
There is no sufficient evidence to substantiate the claim because of the lack of certain details that would have been used to carry out the hypothesis test.
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2, 3, -4, -6, -8
From the list of numbers, write down:
(a) three numbers whose sum is -12
(b) two numbers whose product is -24
I believe this is correct.
A is: -4, -6, 2
B is: -4, 6
Show what you know: Exponents
Find the missing exponent exponent.
32 = 2?
? =
2. The students of a local high school operate the canteen at school to raise
funds for new furniture in the student lounge. Average sales of $245 per
month are needed to reach the goal. The sales for the first three months were
$190, $245, and $210. Since the sales appear to be too low, the students
predict that they will not reach their goal.
a) What were the average sales for the first three months, to the
nearest dollar?
Answer:
215
Step-by-step explanation:
you add all three together and then divide by three to get the average.
NEED HELP ASAP
Find the approximate area of a triangle that has vertices at A(-4, 2), B(6, 4) and C(3,-1).
Answer:
I need more to the question so I can answer it
Step-by-step explanation:
a cylinder has a volume of 24 cubic feet, what is the equation on how to find the volume?
The equation on how to find the volume is πr²h = 24
How to determine the equation on how to find the volume?From the question, we have the following parameters that can be used in our computation:
Volume = 24 cubic feet
The volume of a cylinder can be calculated as
Volume = πr²h
Where
r = radius
h = height
Substitute the known values in the above equation, so, we have the following representation
πr²h = 24
Hence, the equation is πr²h = 24
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HELP PLEASE AND THANKYOU
Answer:
one half of a cup. it is written as a half as 1/2. :)
I need some help on the "round to the next period" part. What exactly is the answer then? Thank you!
The time period it will take a principal of $25000 to grow int $28500 at a rate of 4% is approximately 3 years
What is Compound InterestCompound interest is the interest that is calculated on the initial principal and also on the accumulated interest of previous periods. It is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest.
In the given question, our data is;
P = 25,000r = 4% = 0.04A = 28,500n = ?x = semi-annually = 2The formula is given as
A = P(1 + r/n)^nx
The given expression is
m(n) = 25000(1 + 0.04/ 2)^2n
m(n) = 28500
28500 = 25000(1 + 0.04 / 2)^2n
Solving for n,
n = 3.3
n ≈ 3
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Need answer for b)iii)
Answer:
3.23, -1.23
Step-by-step explanation:
Draw the line y=1
See where it intersects x^2-2x-3
The x coordinates of the intersections are your answer
Help me pls I’m struggling and I can’t solve it
The perimeter of the rectangle is 4y + 6 (cm).
How can the perimeter equation be found?All four side lengths must be added up in order to get the perimeter, or the distance around the rectangle. Since there are two of each side length, it is simple to multiply the total of the length and the breadth by two in order to do this task effectively. The formula for perimeter is perimeter=(length Plus width)2.
The diagram shows a rectangle. All measurements are in centimetres an expression in terms of y, for the perimeter of the rectangle.
The perimeter of the rectangle is
2(y+3)+24
=2y + 6 + 2y = 4y + 6 (cm)
{ the perimeter:
2 * width + 2 * Length}
The perimeter of the rectangle is 4y + 6 (cm).
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Which of the following is equivalent to (X - 2) (x + 9) =0
The equivalent quadratic equation to (x - 2)(x + 9) = 0 is x² + 7x - 18 = 0.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
We know if α and β are the roots of a quadratic equation ax² + bx + c = 0,
Then we can construct the equation by the factors (x - α)(x - β).
Given, We have to construct a quadratic equation with (x - 2)(x + 9) = 0.
Now, Multiply the terms we have,
x² + 9x - 2x - 18 = 0.
x² + 7x - 18 = 0.
So, Our required quadratic equation is x² + 7x - 18 = 0.
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what coordinates apply to y>2+9x
The coordinates that can be applied to the equation y > 2 + 9x is the cartesian coordinate system
What is cartesian coordinate system?
A system that identifies your precise location on a graph is the Cartesian coordinate system.
This system can be used to graph a collection of points that will give your equations' solutions, which makes it handy. Each axis will have its own variable in the equations that are employed with this system.
The x-axis, a horizontal axis, and the y-axis, a vertical axis, are the two axes that make up the Cartesian coordinate system.
The variables x and y will be present in equations for lines in this system.
Hence the cartesian coordinate system is applicable for the equation given as y > 2 + 9x
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How do you solve a linear equation step by step?
Linear equations are mathematical equations that involve one or more variables. These equations can be solved by following a few simple steps:
How to solve linear equationsIdentify the constant and the coefficient of the variable.Use the coefficient to divide both sides of the equation by the same number.Subtract the constant from both sides of the equation.Divide both sides of the equation by the coefficient of the variable.Check your solution by substituting it back into the original equation.Linear equations can be used to solve a wide range of mathematical problems and are an essential part of any mathematics curriculum.
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Here is the other one.................
Answer:
2+2sec2∅tan²∅-sec⁴∅-tan⁴∅2+2sec2∅tan²∅-sec⁴∅-tan⁴∅)2-(sec⁴∅-2sec∅tan∅+tan⁴∅)2-(sec²∅-tan²∅)²2-(1)²1 is a required answer.[Note sec²x-tan²x=1]
If £22 = 500 rubles, how many £ are in 864 rubles? Give your answer to 2 dp.
Answer:
£ 38
Step-by-step explanation:
If you take 500 divided by 22 you get 22.7272727272 or if you round 22.73
Then you take 864 divided by 22.73 and get 38.0114386274 the you round to 2 decimal places and get 38
Hope this helps
GeneralGranato777
When writing a number in scientific notation, why is it always written "X 10 to a power"?
Answer:
Because that is how you move the decimal point multiplying by ten will move the decimal pin to and the power tells you how many times and the direction
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
Find the value of x.
Use statement and reason format.
By using properties for angles we can find and solve some linear equations, there we can see that x = 30°.
How to find the value of x?Remember that the sum of the interior angles of a triangle must give 180°, and we also know that the angle defined by a line is 180°.
Let's define N as the angle located at vertex N of the right triangle in the left side, we then can write:
2x + 90° + N = 180°
And we also can write the linear equation:
105° + 45° + N = 180°
Solving this one, we can find the value of N.
N = 180° - 45° - 105° =30°
N = 30°
Replacing that in the equation with x we will get:
2x + 90° + 30° =180°
2x = 180° - 90° - 30°
2x = 60°
x = 60°/2 = 30°
The value of x is 30°.
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2x3x5 is equivalent to which number below
Answer:
180
Step-by-step explanation:
2 squared is 4
3 squared is 9
4 x 9 x 5 = 180
PLEASE HELP I AM DESPERATE I WILL GIVE THANKS, 5 STARS, AND THE BRAINLIEST!!!
Answer:
g(-3) = 2
Step-by-step explanation:
g(x) = |x| - 1, x < 1 You would use this equation for finding g(-3). Since -3 is less than 1.
g(x) = |x| - 1, x < 1 ← You can ignore the x<1 part.
g(-3) = |-3| - 1 Input the value -3 as x. The absolute value of x is always g(-3) = 3 - 1 positive.
g(-3) = 2 Simplified
Next,
g(x) = x²- 10, 1 ≤ x ≤ 3 You would use this equation for finding g(3). Since 3 is equal to 3.
g(x) = x²- 10, 1 ≤ x ≤ 3 ← You can ignore the 1 ≤ x ≤ 3 part.
g(3) = (3)²- 10 Input the value 3 as x.
g(3) = 9 - 10 Simplify
g(3) = - 1
Then,
g(x) = [tex]\frac{1}{6}[/tex]x, x > 3 You would use this equation for finding g(6). Since 6 is greater than 3.
g(x) = [tex]\frac{1}{6}[/tex]x, x > 3 ← You can ignore the x > 3 part.
g(6) = [tex]\frac{1}{6}[/tex](6) Input the value 6 as x.
g(6) = [tex]\frac{6}{6}[/tex] Simplify
g(6) = 1
Answer: g(-3) = 2 results in the largest value/output.
A company has two manufacturing plants with daily production levels of 5x +14 items and 3x - 5 items, respectively. The first plant produces how many more items daily than the second plant?
Answer:
21x
Step-by-step explanation:
5x+14=19x
3x-5=-2x
-2x-19x=21x
PROBLEMA DE NUMEROS ENTEROS : Un buzo se encuentra a 4000 metros de profundidad. ¿Si desciende 2000 metros para atrapar mantarrayas, a que profundidad del nivel del mar se encuentra?
Answer:
Tras descender 2000 metros para atrapar mantarrayas el buzo se encontrará a 6000 metros bajo el nivel del mar.
Step-by-step explanation:
Dado que un buzo se encuentra a 4000 metros de profundidad, si desciende 2000 metros para atrapar mantarrayas, para determinar a que profundidad del nivel del mar se encuentra se debe realizar el siguiente cálculo:
4000 - 2000 = X
6000 = X
Por lo tanto, tras descender 2000 metros para atrapar mantarrayas el buzo se encontrará a 6000 metros bajo el nivel del mar.
Awatch which loses a half a minute was set to read the correct time at 0445h on Monday. determine the time in 12 hour clock system,the watch will show on the following Friday at 1845h
The Correct answer is 5.50 p.m
ExplanationTime between Monday 0445h and Friday 1845h
= 4 x 24 + 14 = 110h
Time lost = 0.5 x 110
= 55min
Time shown in 12 hour system
1845 – 55 = 1750 h
= 5.50 p.m
What is a 12-hour Clock system?On an analogue clock, the 12-hour clock is most frequently displayed as the digits 1 through 12; on a digital clock, it is typically followed by either a.m. (ante meridiem, Latin for "before noon") or p.m. (post meridiem, Latin for "after noon").
What is a 24-hour Clock system?Digital clocks are more frequently used to display the 24-hour clock, which is printed in a 4-digit format with the first two numbers denoting the hour and the final two denoting the minutes.
No need for a.m. or p.m. is necessary because each time represents one of the 24 hours in a day. For instance, 0300 is the third hour of the day, or 3am; 1400 is the fourteenth hour of the day, or 2pm; and 1830 is the thirty-minute mark after the eighteenth hour of the day, or 6.30pm.
How can we change 12-hour time format into a 24-hour clock format?Children can be taught to add 12 to the hours after noon in order to change a 12-hour clock to a 24-hour one. For instance, 3pm becomes 15:00 since 3 + 12 = 15.
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The time shown on 19:45h Fridays is 06: 55 pm Friday.
What is meant by clock system?A collection of synchronized clocks that can communicate with one another and display the exact same time every single time is known as a clock network or clock system. A constant pulse known as a system clock or system timer aids the computer clock in maintaining accurate time. It keeps track of how many seconds have passed since the epoch and utilizes that information to determine the current date and time.
A piece of electronic equipment inside a computer that continuously emits a high-frequency signal to keep everything in sync. electrical gadget type. a piece of equipment that operates electronically. a computerized time-of-day clock.
Given: Watch loses = 1/2 minute every hour
Time difference = 19: 45 h Friday - US:45 h Monday
=4 days 14 hours
=24 × 4+14 hours
=96+14
=110 hours
Time lost [tex]$= & 144^{55} \times \frac{1}{2} \mathrm{~min} \\[/tex]
= 55 min
Time shown on 19:45h Fridays
= 19: 45 - 0: 55
= 18: 55 h Friday
= 06: 55 pm Friday
Hence, 06: 55 pm Friday
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Solve this equation for x.
4x+3=5x-4
Answer:
Step-by-step explanation:
X=7
Eddie is reading a novel for English class. He read 173 out of 480 pages. About what percent of the book has he read? Round to the nearest whole number.
Answer:
the answer would be 36.04,
Step-by-step explanation:
im gonna just leave this blank
Use the number line to find the difference of 4 1/2-8
Using the number line, the difference between 4 1/2 and 8 will come to -31/2.
What is a number line?A number line is a depiction of a graded straight line that serves as a visual representation of real numbers in primary mathematics. Every point on a number line is presumed to be a real number, and every real number is assumed to be a point.
Subtraction on a number line makes it much easier to subtract smaller values. When subtracting numbers from a number line, we must leap (move) to the left side of the number line.
Thus, moving to the left, 8 times from 4.5 will help us arrive at -3.5. See attached Number line.
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A refrigerator is priced at $3,800 plus value-added tax at 15%. What amount does the refrigerator actually cost the customer?
Answer: 3800 + 15% =.....DUN DUN DUNNNN 3.800.15
Step-by-step explanation:
Hello can someone help me with this please
Answer:
Below
Step-by-step explanation:
x - 6 = 12 add 6 to both sides of the equation
x - 6 + 6 = 12 + 6 simplify
x = 18
3x-1 = 11 add 1 to both sides of the equation
3x -1 + 1 = 11 + 1
3x = 12 now divide both sides by 3
3x/3 = 12 / 3 simplify
x = 4
Find the value of x.
2x-8
6
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
Angles opposite congruent sides in a triangle are congruent.
[tex]6=2x-8 \\ \\ 2x=14 \\ \\ x=7[/tex]