An irrational number cannot be expressed as a ratio between two numbers and it cannot be written as a simple fraction because there is not a finite number of numbers when written as a decimal. Instead, the numbers in the decimal would go on forever, without repeating.
Answer:
Irrational number does not terminate and do not repeat. I hope this can make you understand what does irrational number is. Hope it helps you
Step-by-step explanation:
Ms. Gantt has a $15 gift card to Starbucks. She buys 2 muffins for $2.65 each, 2 hot chocolates for $1.79 each, and a juice for $3.05. How much remains on her gift card?
PLEASE HELP ME I WILL MARK YOU BRAINLIEST
Answer:
Remains on her gift card:
$3.07
Step-by-step explanation:
15 - ((2*2.65) + (2*1.79) + (1*3.05))
= 15 - (5.3 + 3.58 + 3.05)
= 15 - 11.93
= 3.07
Answer:
$3.07
Step-by-step explanation:
Ms. Gantt has a $15 gift card to Starbucks.
She buys 2 muffins for $2.65 each, = 2 × 2.65 = $5.3
2 hot chocolates for $1.79 each, = 2 × 1.79 = $3.58
and a juice for $3.05. = 1 × 3.05 = $3.05
Now,
$15 - $5.3 - $3.58 - $3.05 = $3.07
Thus, $3.07 remains on her gift card
Write and solve an equation to find the number n.
The sum of twice a number and half the number is 10.
Equation:
= 10
The number is n =
32
Answer:
The number is 4
Step-by-step explanation:
Let the number be n
Twice the number : 2*n = 2n
Half the number : 1/2 n
[tex]2n+ \frac{n}{2}=10\\\\\frac{2n*2}{2}+\frac{n}{2}=10\\\\\frac{4n}{2}+\frac{n}{2}=10\\\\\frac{5n}{2}=10\\\\5n=10*2\\\\5n=20\\\\n=\frac{20}{5}\\\\[/tex]
n = 4
In a communist command economy workers are employed by
the agencies
the consumers
the producers
the state
Answer
D) the state
I took on Test:))))))
In a communist command economy, workers are employed by the state. Hence, option D is correct.
What is communist command economy?A command system, usually referred to as communism, is an economic system in which the government controls the majority of the factors of production, decides how resources will be distributed, and determines what goods and services will be offered. Karl Marx and Frederick Engels were the principal architects of communist theory.
A communist political system includes a command economy, whereas capitalist countries have a free market. A command economy might take the form of socialism or communism. In all three, the government is in charge of the nation's enterprises, resources, and economic activities.
Thus, option D is correct.
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Factor z^2 – 81
z^2-81=
Answer:
(z-9)(z+9)
Step-by-step explanation:
z²-81
(z-9)(z+9)
How dose the product of 40x30 compare to the product of 20x324
Sonya, who is paid time and a half for hours worked in excess of 40 hours, had gross weekly wages of $345 for 44 hours worked. What is her regular hourly rate?
Answer:
$7.5/hour
Step-by-step explanation:
Sonya is paid time and half for hours worked in excess of 40 hours
She has a gross weekly wages of $345 for 44 hours
Let y represent sonya's hourly rate
Since she is paid one and half then it can be represented as 1.5y
Sonya is suppose to work for a period of 40 hours, this means that she has 4 overtime hours
Therefore Sonya regular hourly rate can be calculated as follows
40y + 4(1.5y) = 345
40y + 6y = 345
46y= 345
y = 345/46
y= 7.5
Hence Sonya's regular hourly rate is $7.5/hour
In ΔABC, a = 300 inches, ∠B=45° and ∠C=41°. Find the length of c, to the nearest 10th of an inch.
Answer:
197.3
Step-by-step explanation:
Simplify :
Stepwise answer!
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{14 {x}^{2} - 96}{ {x}^{4} - 13 {x}^{2} + 36}}}}}} [/tex]
Step-by-step explanation:
[tex] \sf{ \frac{2}{x - 2} + \frac{1}{x - 3} - \frac{2}{ x + 2} - \frac{1}{ x + 3}}[/tex]
⇒[tex]\sf{ \frac{2(x - 3)(x + 3)(x + 2) + (x - 2)(x + 2)(x + 3) - 2(x - 2)(x - 3)(x + 3) - (x - 2)(x + 2)(x - 3)}{(x - 2)(x - 3)(x + 2)(x + 3)}} [/tex]
Use the formula : a² - b² = ( a + b ) ( a - b )
⇒[tex] \sf{ \frac{2( {x}^{2} - 9)(x + 2) + ( {x}^{2} - 4)(x + 3) - (2x - 4)( {x}^{2} - 9) - ( {x}^{2} - 4)(x - 3) }{( {x}^{2} - 4)( {x}^{2} - 9)}} [/tex]
Distribute 2 through the parentheses
⇒[tex] \sf{ \frac{(2 {x}^{2} - 18)(x + 2) + ( {x}^{2} - 4)(x + 3) - (2x - 4)( {x}^{2} - 9) - ( {x}^{2} - 4)(x - 3)}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]
Multiply the algebraic expressions
⇒[tex] \sf{ \frac{2 {x}^{3} + 4 {x}^{2} - 18x - 36 + {x}^{3} + 3 {x}^{2} - 4x - 12 - (2 {x}^{3} - 18x - 4 {x}^{2} + 36) - ( {x}^{3} - 3 {x}^{2} - 4x + 12) } {( {x}^{2} - 4)( {x}^{2} - 9)} }[/tex]
When there is a ( - ) in front of an expression, change the sign of each term in the expression
⇒[tex] \sf{ \frac{2 {x}^{3} + 4 {x}^{2} - 18x - 36 + {x}^{3} + 3 {x}^{2} - 4x - 12 - 2 {x}^{3} + 18x + 4 {x}^{2} - 36 - {x}^{3} + 3 {x}^{2} + 4x - 12}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]
Since two opposites add up to zero, it would be better to remove them from the expression
⇒[tex] \sf{ \frac{4 {x}^{2} - 36 + 3 {x}^{2} - 12 + 4 {x}^{2} - 36 + 3 {x}^{2} - 12}{( {x}^{2} - 4)( {x}^{2} - 9)} }[/tex]
collect like terms and simplify
⇒[tex] \sf{ \frac{14 {x}^{2} - 48 - 36 - 12}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]
⇒[tex] \sf{ \frac{14 {x}^{2} - 84 - 12}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]
⇒[tex] \sf{ \frac{14 {x}^{2} - 96}{ ({x}^{2} - 4)( {x}^{2} - 9)} } [/tex]
Multiply : ( x² - 4 ) and ( x² - 9 )
⇒[tex] \sf{ \frac{14 {x}^{2} - 96}{ {x}^{4} - 13 {x}^{2} + 36}} [/tex]
Hope I helped!
Best regards! :D
Simplify the expression c^-6d^4/c^-16d^14
Answer:
c^10 d^18
Step-by-step explanation:
Solve the equation for x. 3/4(x + 21) = 10 1/2
Answer:
x=7
Step-by-step explanation:
3/4(x+21)=10 1/2
3/4x+63/4 = 21/2
3/4x= 21/2-63/4
3/4x= -21/4
x= (-21/4)/(3/4)
x= (-21/4)x(4/3)
x= -84/12
x=-7
The equation for x is -7 .
To find the equation for x.
What is algebra?A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Given that:
The equation are
3/4(x+21)=10 1/2
3/4x+63/4 = 21/2
3/4x= 21/2-63/4
3/4x= -21/4
By cross multiplication
x= (-21/4)/(3/4)
Reverse the numerator and denominator
x= (-21/4)x(4/3)
x= -84/12
x=-7
So, the equation for x is -7 .
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Ralph plans to sell a piece of property for 150,000. Is short-term note and 11% interest and long-term note for 9% interest. Find the amount of each note if the total annual paid it is 15,200
Answer:
Step-by-step explanation:
Short term 166,500 (150000x.11 then add that answer to 150000)
Long term 163,500
If f(x) = x2 + 1 and g(x) = 2x - 5 Find: g(f(3))
Answer:
15
Step-by-step explanation:
f(x) = x^2 + 1
g(x) = 2x - 5
Find: g(f(3))
First find f(3) = 3^2 +1 = 9+1 = 10
The find g(10) = 2*10 -5 = 20-5 =15
Use the diagram below to answer questions 1-6. All rooms are rectangular. 1. What is the value of side A? Explain your thinking. 2. What is the value of side B? Explain your thinking. 3. What is the value of side c? Explain your thinking. 4. What is the area of the vegetable garden? Show your thinking
Answer:
Step-by-step explanation:
1) A = x
Flower garden is in rectangular shape. In rectangle, opposite sides are equal.
2) The entire garden is in rectangular shape. In rectangle, opposite sides are equal.
B + x+ 4 = 10x + 6
Take x and 4 to other side to find the value of B. When taking to other side of equal to sign, the sign of x and 4 will change
B = 10x + 6 - x - 4
B = 10x - x + 6 - 4 {Combine like terms}
B = 9x + 2
3) C + x -2 = 5x -3
C = 5x - 3 - x +2
C = 5x -x - 3 + 2
C = 4x - 1
4) Area of Vegetable garden = length * width
= (5x - 3) * (9x + 2)
Use FOIL method
= 5x *9x + 5x*2 + (-3)*9x + (-3)*2
= 45x² + 10x - 27x - 6
= 45x² - 17x - 6
PLEASE HELP I AM GIVING MORE POINTS THAN I SHOULD PLEASE HELP
Write the equation of the parabola in vertex form. vertex (4,1), point (3,-1)
5x+ 4y = -20
5x + 12y = -10
HELPPPPPP
Answer:
We are to find x and y in this equation.
5x+4y= -20.
- 5x+12y= -10.
which is y=5/4 or 1.25.
then substitute y=1.25 into eqtn I.
5x+4(1.25)=-20.
5x+5= -20.
5x=-20-5.
5x= -25.
x= -5.
12 to the 16th power over 12 to the 4th power simplified.
Answer:
[tex]12^{12}[/tex]
Step-by-step explanation:
Using exponent rules, we know that:
[tex]x^a \div x^b = x^{a-b}[/tex].
Since we are dividing [tex]12^{16}[/tex] by [tex]12^4[/tex], then simplified, this totals out to [tex]12^{16-4}[/tex] or [tex]12^{12}[/tex].
Hope this helped!
Answer:
[tex]12^{12}[/tex]
Step-by-step explanation:
[tex]\frac{12^{16}}{12^4}\\\\\frac{a^b}{a^c}=a^{b-c}\\\\\frac{12^{16}}{12^4}=12^{16-4}=\boxed{12^{12}}[/tex]
Hope this helps.
In a mathematics class, half of the students scored 42 on an achievement test. With the
exception of a few students who scored 78, the remaining students scored 53. Which of the
following statements is true about the distribution of scores?
Answer:
If half the students scored 42 and some scored 53, the median must be (53 + 42)/2 = 47.5.
If the other half all scored 53, the mean would be the same, but the few 78s is going to raise the mean.
The mode is 42.
i hope it helps you
The mean is greater than the median. Then the correct option is B.
What are statistics?Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.
In a mathematics class, half of the students scored 42 on an achievement test.
With the exception of a few students who scored 78, the remaining students scored 53.
We know that if the half of data is the same and the remaining data is greater than that data.
Then the mean is greater than the median.
Then the correct option is B.
The complete options of the question is attached below.
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A car uses 150 litres of petrol in 45 minutes. How many litres of petrol will it use in 1 hour?
Answer: 200 literes will be used in an hour
Step-by-step explanation:
1. 150 divided by 45 mins = 3.3 recurring
2. 3.3 recurring times 60 ( 60 mins in an hour) = 200
The amount of the petrol will be consumed in one hour will be 200 liters.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
A car uses 150 liters of petrol in 45 minutes.
Then the rate at which the amount of petrol is consumed in liters per minutes will be
⇒ 150 / 45
⇒ 10 / 3 Liters per minutes
We know that there are 60 minutes in one hour.
Then the amount of the petrol will be consumed in one hour will be
⇒ (10 / 3) x 60
⇒ 10 x 20
⇒ 200 liters
Thus, the amount of the petrol will be consumed in one hour will be 200 liters.
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please help me on these!!
40 points
Answer:
8: when they added -4x and 8x they didn't carry the negative
9: You add -18x and 5x -13x - 12 = 1
b/3 + 1/7=13 can someone tell me what b is , thanks :))
What is the difference between a rectangle and a cube? A rectangle is a 3-dimensional and a cube is a 2-dimensional. A rectangle and a cube are both 2-dimensional. A rectangle is a 2-dimensional and a cube is a 3-dimensional A rectangle and a cube are both 3-dimensional.
Answer: A rectangle is a 2-dimensional and a cube is a 3-dimensional
Step-by-step explanation:
Write the prime factors of 15. Separate each number with a comma.
Answer:
21
Step-by-step explanation:
21_++_+_+
Answer:
21
Step-by-step explanation:
On Saturday, Querida gave away 416 coupons for a free appetizer at a local restaurant. The next day, she gave away about 52 coupons an hour. Is the number of coupons Querida gave away in Sunday proportional to the number of hours she worked that day? Hours worked on Sunday 1 -2 -3 4 coupons given away on Sunday.
Answer:
The number of coupons Querida gave away in Sunday is proportional to the number of hours she worked that day.
Step-by-step explanation:
It is provided that on Sunday Querida gave away about 52 coupons an hour.
Compute the number of coupons given away for different hours as follows:
Number of hours : 1 2 3 4
Number of Coupons : 52 104 156 208
Compute the number of coupons given away per hour provided that Querida worked 2 hours, 3 hours and 4 hours on Sunday as follows:
[tex]\text{Number of coupons given away per hour}=\frac{104}{2}=52\ \text{coupon/hour}[/tex]
[tex]\text{Number of coupons given away per hour}=\frac{156}{3}=52\ \text{coupon/hour}[/tex]
[tex]\text{Number of coupons given away per hour}=\frac{208}{4}=52\ \text{coupon/hour}[/tex]
Thus, the number of coupons Querida gave away in Sunday is proportional to the number of hours she worked that day.
Your neighborhood deli kept track of the wraps it sold for three months. The deli sold, 13d+25of the Turkey Waldorf Wraps and 16d+14of the Triple-Decker Chicken Wraps. Write and simplify a polynomial expression that represents the total amount of wraps sold.
Answer: 29 d + 39
Step-by-step explanation:
Given : The deli sold, 13d+25 of the Turkey Waldorf Wraps and 16d+14 of the Triple-Decker Chicken Wraps.
Then, the total amount of wraps sold will be
13d+25 + 16d+14
Simplify
13d+16d+25+14 [add like terms]
= 29 d + 39
Hence, the polynomial expression that represents the total amount of wraps sold is 29 d + 39.
The temperature dropped 4°F one hour later. What is the current
temperature if the temperature was 8°F one hour ago?
Answer: 4°F
Step-by-step explanation:
8-4=4
PLEASE HELP 15 POINTS! Which of the following can be used to rewrite the expression (3)(2+c)? There are two correct answers. A) Commutative Property of Multiplication B) Associative Property of Addition C) Associative Property of Multiplication D) Commutative Property of Addition
Answer:
A and D
Step-by-step explanation:
You can switch the orders of the two groups so that it is (2+c)(3) and you can switch the orders of 2 and c and neither would change the answer.
Solve & Justify 3(5x + 1) = 18x
Answer:
x=1
Step-by-step explanation:
First you distribute the 3 to 5x and 1 to get 15x+3=18x
Then you subtract 15x from 18x and get 3x
Lastly you divide 3 by 3 to separate the 3 and x and get x=1.
Answer:
x=30
Step-by-step explanation:
3
Simplify —
5
3
(— • x) - 18 = 0
5
STEP
Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
18 18 • 5
18 = —— = ——————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3x - (18 • 5) 3x - 90
————————————— = ———————
5 5
Pull out like factors :
3x - 90 = 3 • (x - 30)
3 • (x - 30)
———————————— = 0
5
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
3•(x-30)
———————— • 5 = 0 • 5
5
Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
3 • (x-30) = 0
Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : x-30 = 0
Add 30 to both sides of the equation :
x = 30
One solution was found :
x = 30
Solve the equation: 11x - 3 = 5x + 11
Answer:
Hey there!
11x-3=5x+11
6x-3=11
6x=14
x=7/3
Let me know if this helps :)
Answer:
[tex]\boxed{ 2 \frac{1}{3} }[/tex]
Step-by-step explanation:
Hey there!
Given,
11x - 3 = 5x + 11
Single out x
11x - 3 = 5x + 11
11x = 5x + 14
6x = 14
x = 2 1/3
Hope this helps :)
What is the square root of 25⁄4
Answer:
Exact Form:
5/2
Decimal Form:
2.5
Mixed Number Form:
21/2
A rectangular barn door needs to be painted. The door is 74 inches high and
50 inches wide. What is the area of the front of the door?
Answer:
2700 square inches
Step-by-step explanation:
Area of a rectangle is A = lw, where l= lenght, w = widthGiven a rectangular barn door with dimensions:
Height = 74 inWidth = 50 inThe area of front side of the door is:
A = 74 in * 50 in = 2700 square inches