Step-by-step explanation:
A playing card is in the form of a rectangle whose perimeter is equal to 28 cm and area is 45 cm².
If l and b are length and breadth of the rectangle.
Area,
[tex]A=lb[/tex]
[tex]45=lb\\\\l=\dfrac{45}{b}\ .....(1)[/tex]
Perimeter,
[tex]P=2(l+b)\\\\28=2(l+b)\\\\14=(l+b)\ ....(2)[/tex]
Put the value of l from equation (1) to equation (2). So,
[tex]14=\dfrac{45}{b}+b\\\\14=\dfrac{45+b^2}{b}\\\\14b=45+b^2\\\\b^2-14b+45=0\\\\b^2-9b-5b+45=0\\\\b(b-9)-5(b-9)=0\\\\b=5\ cm, 9\ cm[/tex]
Put the value of b in equation (1),
If b = 5 cm
[tex]l=\dfrac{45}{5}=9\ cm[/tex]
If b = 9 cm
[tex]l=\dfrac{45}{9}=5\ cm[/tex]
So, the dimensions of the playing card is 9 cm by 5 cm.
Moving the decimal point to the right 4 places in a number is the same as _____. multiplying by 10 -4 multiplying by 4 multiplying by 10 4 multiplying by 10
Answer:
10^4
Step-by-step explanation:
lets say the number is 1.0 if you where to move the decimal to the right 4 place the number would then be 10,000.0. basically if it says 10^4 add 4 0's
Moving the decimal point to the right 4 places in a number is the same as multiplying by 10⁻⁴.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Let's consider a decimal number
2.23456 now multiply and divide by 10⁴
⇒ 2.23456 × 10⁴/10⁴
⇒ 22345.6/10⁴
⇒ 22345.6 × 10⁻⁴
Hence"Moving the decimal point to the right 4 places in a number is the same as multiplying by 10⁻⁴".
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What is the difference between (-5) to the second power to -5 to the second power
Answer:
the negative
Step-by-step explanation:
if you do -5 to the second power it will give you -25 and if you do (-5) it will give you 25.
Point estimate is Select one: a. A statistical that estimates a population parameter b. A range of possible values for a population parameter. c. Always equal to the number or samples d. Equal to the population mean
Answer:
a. A statistical that estimates a population parameter
Step-by-step explanation:
A point estimate is a mathematical or statistics term that describes that is used as a means of revealing an estimated value of some parameter. It utilizes a single value, which can sometimes be the statistic mean to carry out the process of point estimation.
Hence, in this case, the correct answer is Option A: A statistical that estimates a population parameter
Fractions: three oil tankers together contain 37 5/7 litres of oil. If two tankers have 11 3/14 litres and 12 3/7 litres of oil. Find the oil in the third tanker
Step-by-step explanation:
It is given that, three oil tankers together contain 37 5/7 litres of oil.
Total volume of oil is [tex]\dfrac{264}{7}\ L[/tex]
If two tankers have 11 3/14 litres and 12 3/7 litres of oil.
Oil in first tanker is [tex]\dfrac{157}{14}\ L[/tex]
Oil in second tanker is [tex]\dfrac{87}{7}\ L[/tex]
Oil in first and second tanker is :
[tex]\dfrac{157}{14}\ L+\dfrac{87}{7}\ L=\dfrac{331}{14}\ L[/tex]
Noo, oil in the third tanker = total volume - (Oil in first tanker + second tanker )
[tex]=\dfrac{264}{7}\ L-\dfrac{331}{14}\ L\\\\=\dfrac{197}{14}\ L[/tex]
Hence, this is the required solution.
two complementary angles have a difference of 36°. Find the measure of each angle. (Complementary angles are angles that add up to 90°) Show ur work
Answer:
27°,63°
Step-by-step explanation:
Let the two angles be a and b.
They are complementary, meaning they add up to 90. Thus:
[tex]a+b=90[/tex]
And we are told their difference is 36. Therefore:
[tex]a-b=36[/tex]
Solve for the system of equations. Add b to both sides in the second equation:
[tex]a=b+36[/tex]
Substitute this into the first:
[tex](b+36)+b=90[/tex]
Combine like terms;
[tex]2b+36=90[/tex]
Subtract 36:
[tex]2b=54[/tex]
Divide by 2:
[tex]b=27[/tex]
So, b is 27 degrees.
Use the second equation again:
[tex]a-b=36[/tex]
Now that we know b is 27, substitute:
[tex]a-27=36[/tex]
Add 27 to both sides:
[tex]a=63[/tex]
So, a is 63 degrees.
And we're done :)
Answer:
27 and 63
Step-by-step explanation:
x - y = 36
x + y = 90
add the equations together
2x = 126
x = 63
substitute x for x in the first equation
63 - y = 36
y = 27
Solve 9/11 + 3/13 × 26/33 - (21/121÷ 71/111
refer to the attached image
The value of the give expression is, 6260/8591
What is expression?An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.
Given an expression, 9/11 + 3/13 × 26/33 - (21/121÷ 71/111)
9/11 + 3/13 × 26/33 - (21/121÷ 71/111) =
= 9/11+3x2/33-(21/121x111/71)
= 9/11+6/33-2331/8591
= 9/11+2/11-2331/8591
= 1-2331/8591
= 6260/8591
Hence. the value of the give expression is, 6260/8591
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Jenna calculated several numbers in her calculator. The result displayed 1.8E-4 on the calculator screen. Which equivalent number(s) does this represent? Select all that apply.
-0.00018
1.8 × 10 -4
18 × 10 4
0.00018
1800
Step-by-step explanation:
It is given that the result displayed on the calculator screen is [tex]1.8E 10^{-4}[/tex]. We need to say out of all options, which options represent the equivalent number.
[tex]1.8\times 10^{-4}=\dfrac{1.8}{10^4}\\\\=\dfrac{1.8}{10000}[/tex] .....(1)
Option (2) is correct i.e. [tex]1.8E10^{-4}=1.8\times 10^{-4}[/tex]
From eq2uation (1)
[tex]\dfrac{1.8}{10000}=\dfrac{18}{100000}\\\\=0.00018[/tex]
Option (4) is correct.
Help please? I’m so dumb
Answer: Choice C
[tex]y \ge 4x-5[/tex]
===============================================
Explanation:
First we need to find the equation of the boundary line. This is the line that separates the shaded region versus the non-shaded region.
The boundary line goes through (0,-5) so this is the y intercept, so b = -5
Another point on the boundary line is (1,-1). The slope of the line through (0,-5) and (1,-1) is m = 4. You can use the slope = rise/run idea or you could use the slope formula to get m = 4.
With m = 4 and b = -5, the y = mx+b equation updates to y = 4x-5
The boundary line has the equation y = 4x-5
Because it is a solid boundary line (instead of dashed) and the shading is above the boundary, this means we change the equal sign to "greater than or equal to"
Therefore we get [tex]y \ge 4x-5[/tex]
Note: a solid boundary line means that points on this boundary are included in the solution set. A dashed boundary line would mean you don't include boundary points in the solution set. So that's why there is a "or equal to" portion in the inequality sign.
2ab - ab + 2a + 3b + 2ab
what is this simplified ?
Answer: The answer is 3ab + 2a + 3b.
Step-by-step explanation:
So we are given this equation:
2ab - ab + 2a + 3b + 2ab
First we have to add like terms:
2ab + 2ab - ab + 2a + 3b
4ab - ab + 2a + 3b
3ab + 2a + 3b
Here is your answer!
2/3 - 1/2 simplist form
Math
Answer:
1/6 in fraction or 0.166 in decimal
A number with the same value but written differently
Answer:
√ 4 has the same value as 2.
Step-by-step explanation:
Square root means "a number which produces a specified quantity when multiplied by itself." Therefore, square root 4 and 2 have the same value! Hope this helps!
Use the diagram below to find the value of x
{NO} =17
{NP} =5x-6
Answer : The value of 'x' is 8.
Step-by-step explanation :
As we are given that :
NO = 17
NP = 5x - 6
From the given diagram we conclude that NO and OP are equal and RO and OQ are equal. That means,
NO = OP and RO = OQ
That means,
NO = OP = 17
And we know that:
NP = NO + OP
So,
5x - 6 = 17 + 17
5x - 6 = 34
5x = 34 + 6
5x = 40
x = 8
Thus, the value of 'x' is 8.
Anyone up? 10 points for anyone that can help on this PRE-ALGEBRA question. see attachment below
Answer:
1. I= $36, NB = $336
2. R = 5%, NB = $517.50
3. T= 5 YEARS, NB = $612.50
4. P= $675, NB = $783
Step-by-step explanation:
1. p= 300, r=3% t=4year
I= p*r*t
i= 300 * (3/100) * 4
i = 300 * 0.03 * 4
i = 36
New Balance = 300+36 = $336
2. r = (i*100)/(p*t)
= (67.50*100)/(450*3)
= 6750/1350
= 5%
New Balance =450+67.50 = $517.50
3. t= (i*100)/(p*r)
= (112.50*100)/(500*4.5)
= 11250/2250
=5
New Balance = 500+112.50 =$612.50
4. p= (i*100)/(r*t)
= (108*100)/(8*2)
= 10800/16
= $675
New Balance = $675+$108 = $783
bob makes $6 dollars and hour. write an expression that will represent his total pay for h hours of work
Answer:
y = 6x
Step-by-step explanation:
pay = $6 per hour
y = 6x
Answer:
total pay = 6h
Step-by-step explanation:
total pay = pay per hour *hours worked
total pay = 6h
Jane Had 3777 apples she added 3997 apples
Answer:
7774
the answer for the problem you are stuck in
ng
In 40 baseball games, Juan's team has
scored 50 runs. If the team continues at
this rate, how many runs could the team
expect to score in 180-game season?
II
Answer:
225 runs
Step-by-step explanation:
180/40 = 4.5
50 × 4.5 = 225
The graph of y=-1/2x+2 is positive over the interval negative infinity and 4 and negative over the interval 4 and infinity. What happens on the graph when ? Explain.
Answer:
The information that we have is:
"The graph of y=-1/2x+2 is positive over the interval negative infinity and 4 and negative over the interval 4 and infinity."
Now, i guess that the question is:
"What happens on the graph when x = 4 ?"
Well, if for values of x smaller than 4 the graph is negative and for values of x larger than 4 the graph is positive, this must that the graph must cross the x-axis at some point, then with only that information, we can conclude that the graph is equal to zero when x = 4.
But we could also test it with the equation:
y = -(1/2)*x + 2
if we replace the x by a 4.
y = -(1/2)*4 + 2 = -2 + 2 = 0.
Then our previous hypothesis was correct.
Write an expression to represent the product of -3 and the square of a number decreased by 8.
How many terms are in your expression?
4
3
2.
1
Answer:2
Step-by-step explanation:
The expression contains two terms .
What is expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.
According to the question
The product of -3 and the square of a number decreased by 8
i.e ,
Let square number = [tex]x^{2}[/tex]
=> -3[tex]x^{2}[/tex]-8
Hence, The expression contains two terms -3[tex]x^{2}[/tex] and -8 .
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Which number has a thousands digit that is ten times greater than the hundreds digit?
A. 134,561
O B. 367,244
O C. 552,673
D. 706,623
please help
Answer:
B
Step-by-step explanation:7 is greater than 2
The correct answer is 367,244.
What is number system?Number System is a method of representing Numbers on the Number Line with the help of a set of Symbols and rules. These symbols range from 0-9 and are termed as digits. Number System is used to perform mathematical computations ranging from great scientific calculations to calculations.
Positive Numbers: Numbers that are represented on the right side of the zero are termed as Positive Numbers. The value of these numbers increases on moving towards the right. Positive numbers are used for Addition between numbers. Example: 1, 2, 3, 4, …
Negative Numbers: Numbers that are represented on the left side of the zero are termed as Negative Numbers. The value of these numbers decreases on moving towards the left. Negative numbers are used for Subtraction between numbers. Example: -1, -2, -3, -4, …
as per the situation given,
we have number has a thousands digit that is ten times greater than the hundreds digit.
So, the number is 367244 because 7 is 5 greater than 2.
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a) 2.5x + 1.25 < 3.75
b)5.12 2.4x + 0.3
help!!!
Answer:
a) 1
b)I would like to help u but i don't understand the question I think something is missing there plus sign or minus sign sry
Step-by-step explanation:
2.5x + 1.25 < 3.75
2.5x < 3.75 - 1.25
2.5x < 2.5
[tex] \frac{2.5x}{2.5} = \frac{2.5}{2.5} [/tex]
x = 1
I hope u like it ❤️❤️
For any question comment me
Really sorry for the second question
Will tried to convert 72 ounces/second into pounds/minute. He determined the answer to be 270 lbs/min. Is he correct? If so, what was one correct step? If no, what did he do wrong?
Answer:
Yes, he is correct. One correct step is that he divided 72 ounces by 16 (16 ounces in a pound) and multiplied it by 60, to make it pound/minute.
Step-by-step explanation:
72/16=4.5
4.5x60=270
Write the slope intercept form of this equation.
Y=Mx+b
PLEASE SHOW WORK
Answer:
The answer should be:
y = (6/7)x + 1
1/5 + 2/5 + 3/5= what
Answer:
Step-by-step explanation:
1.2
Answer:
1 1/5
Step-by-step explanation:
Since the denominators are already all the same, just add the numerators.
What does n equal in the equation that I've typed out 5n+21?
Answer:
n does not have a defined value, but it has only one value, it is only possible to determined it in an equality let's say that 5n+21=26 there n =1
but we don't know the value
so it stays as 5n+21
Which number is an irrational number? 3 3/4 3 3/4 √64 √, 64 √91 √, 91 10.25
Answer:
[tex]\sqrt{91}[/tex] is irrational
Step-by-step explanation:
A rational number is a number that can be written as a ratio. Any whole number is rational number because it can be turned into a ratio.
The [tex]\sqrt{91}[/tex] is irrational.
3 (or 3/1) is rational.
3/4 is rational
[tex]\sqrt{64}[/tex] = 8 and thus, is rational.
[tex]\sqrt{91}[/tex] = 9.539392014...... and is irrational
10.25 can be written as 41/4 so it's also rational.
This is based on my assumption you mistyped the 2 with the commas.
the sum of 2 prime numbers is 61, find the difference
Answer:
Answer = 57
Step-by-step explanation:
Two prime numbers
whose sum is 61 = 59 , 2
= 59 + 2
= 61
Diffrence = 59 - 2
= 57.
Hope it helps.
PLEASE HELP!!! WILL MARK BRAINLIETST!!! THANK YOU SO MUCH!!!!
Answer:
1. x=2 2. x=23
Step-by-step explanation:
1: 7(x+3) = 39-2x
7x+21 = 39-2x
9x=18; x=2
2. 2x-5 = 1/2(3x-13)
2x-5 = 1.5x-13/2
0.5x=11.5; x=23
In the formula d = r x t, d is the distance traveled and t is the time traveled. If d = 63 and t = 9, then r =
Answer:
7
Step-by-step explanation:
D=r*t
r=d/t
r=63/9
r=7
C. Write the value of the expression on the blank.
1. 1-561 =
2. I+181 =
3. 1+751 =
4. I+311 =
5. 1+571 =
6. I+831 =
7. 1-3451 =
8. 1-5981 =
9. l-1121 =
10. I-1431 =
Answer:
1. = -560
2. = I181
3. = 752
4. = I311
5. = 572
6. = I831
7. = -3450
8. = 5980
9. = -I1121
10. = -I1431
Simplify the expression 9/(-3)+4/(-8)
Answer:
21/(-6)
Step-by-step explanation:
9/(-3) + 4/(-8) [find the common denominators]
72/(-24) + 12/(-24)
84/(-24) [simplify]
21/(-6)