Answer:
[tex]\frac{17}{2}[/tex]
Step-by-step explanation:
To convert a mixed fraction to a improper fraction, you have to multiply the denominator (2) by the whole number (8). 8 multiplied by 2 is 16. Then add the numerator (1). 16+1=17. That becomes your numerator, the denominator (2) stays the same.
I hope this helps!
A rectangle has a length of (2m - 5) inches and a width of (4m - 2) inches. If the rectangle has a perimeter of 382 inches, then what is the length & width of the rectangle?
Answer:
length = 56.33 inches
width =120.64 inches
Step-by-step explanation:
answer attached
solve the equation x over 4 = 12 over 6
Answer:
x = 8
Step-by-step explanation:
Solve for x:
x/4 = 12/6
Hint: | Reduce 12/6 to lowest terms. Start by finding the GCD of 12 and 6.
The gcd of 12 and 6 is 6, so 12/6 = (6×2)/(6×1) = 6/6×2 = 2:
x/4 = 2
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of x/4 = 2 by 4:
(4 x)/4 = 4×2
Hint: | Cancel common terms in the numerator and denominator of (4 x)/4.
(4 x)/4 = 4/4×x = x:
x = 4×2
Hint: | Multiply 4 and 2 together.
4×2 = 8:
Answer: x = 8
A bag contains red and blue pens in the ratio 2:7. There are 18 red pens in the bag. How many blue pens are in the bag?
blue pens= 63
Step-by-step explanation:
answer of question
Answer:There are
49
blue balls in the bag.
Explanation:
The ratio of red balls and blue balls in a bag is
2
:
7
i.e for every
2
red balls there are
7
blue balls. So for
14
red balls there are
14
----
2
⋅
7
=
49
blue balls.[Ans]
You and your friend each have some pennies. If you give your friend 1 penny, then you and your friend
will have the same number of pennies. If your friend gives you 1 penny, then you will have twice as many
pennies as your friend. How many pennies did you each start with?
Answer:
You have 3 pennies and your friend has 1 penny
Step-by-step explanation:
The given parameters are;
Let friend A = you
friend B = Your friend
The number of pennies with friend A when he gives friend B 1 penny = Equal number of pennies between friend A and B
The number of pennies with friend A when he is given 1 penny by friend B = 2 times the number of pennies with friend B
Let the number of pennies with friend A = X and the number of pennies with friend B = Y, therefore, we have;
X - 1 = Y + 1.....................(1)
X + 1 = 2 × Y...................(2)
Subtracting equation (1) from equation (2), we get;
X + 1 - (X - 1) = 2·Y - (Y - 1)
X - X + 1 + 1 = 2·Y - Y + 1
2 = Y + 1
Y = 2 - 1 = 1
Y = 1
From equation (1), X - 1 = Y + 1 gives;
X - 1 = 1 + 1
X = 1 + 1 + 1 = 3
Friend A has 3 pennies and friend B has 1 penny.
Therefore, you have 3 pennies and your friend has 1 penny
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.
Could someone please help me asap!! Pleasseeeee and thanks.
Answer:
Step-by-step explanation:
a² - b² = (a + b) (a - b)
1)x² - 36 = x² - 6² = (x + 6)(x-6)
2) 4x² - 16 = 4x² - 4*4 = 4(x² - 4)
= 4(x² -2²)
= 4(x + 4)(x-4)
3) 9x² -1 = 3²x² - 1² = (3x)² - 1²
=(3x + 1)(3x - 1)
10a -5ab+ 4b
(if a = 2/5 and b =-1/6)
Answer:
11/3 or 3 2/3 (sry if its wrong)
Step-by-step explanation:
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.
Lake Victoria has the largest surface area of Lakes in Africa. Surface area is 26,828 Square miles. How much larger is the surface area of lake superior then that of like Victoria
Answer:
1.18 times
Step-by-step explanation:
Given that :
Surface area of Lake Victoria = 26,828 sq miles
How much larger is the surface area of lake superior than that of like Victoria?
The surface area of Lake Superior = 31,700 sq miles
Hence, taking the ratio of the surface area of the two Lakes :
Lake Superior / Lake Victoria
31,700 / 26,828
= 1.1816013
Hence, the surface area of Lake Superior is 1.18 times larger than the surface area of Lake Victoria.
What is the acceleration of a car that travels in a straight line at a constant speed?
Answer:
zero
Step-by-step explanation:
Answer:
Average acceleration = (change in velocity)/(time it takes)Step-by-step explanation:
I do not know the answer to this question, could someone help me?
Answer:
a) {-1, 4}
b) {-1, 1, 2, 3, 4, 5, 7, 8}
Step-by-step explanation:
a) The intersection of M and D is all values in M that are also in D. In this case, it is only -1 and 4.
{-1, 4}
b) The union of M and D are all of the distinct numbers in both of the sets.
{-1, 1, 2, 3, 4, 5, 7, 8}
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.
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
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
Expand (6 − )(6 + ). *
Every month, Rachel gets a basic salary of $4000. He also get a bonus of $200 for each policy she sells and a bonus of $50 for each client's complaint she resolves. Write an expression for her total salary for a month if she sells n policies and resolves x complaints.
Answer: $4000 + $200n + $50x
Step-by-step explanation:
From the question, we are informed that every month, Rachel gets a basic salary of $4000 and also get a bonus of $200 for each policy she sells and a bonus of $50 for each client's complaint she resolves.
The expression for her total salary for a month if she sells n policies and resolves x complaints will be:
= $4000 + ($200 × n) + ($50 × x)
= $4000 + $200n + $50x
Write the slope intercept form of this equation.
Y=Mx+b
PLEASE SHOW WORK
Answer:
The answer should be:
y = (6/7)x + 1
A Student built a tent-shaped like a rectangular box for science experimentation, The tents is 3 yards wide, 5 yards long 2 yards high, what is the volume of the tent in cubic meters (m^3)?
Answer:
30 meters^3
Step-by-step explanation:
volume is l x w x h
so the formula would be 5x3x2
which is 15x2
therefore the answer is 30
What does this tell us about the sum of 7 and its opposite, -7?
Answer:
it is a naughtiest number
Answer:
0
Step-by-step explanation:
Draw a number line. Start at -7 and add 7 to it. The result will be zero.
Solve 2(x + 1) = 2x + 5
Answer:
no solution
Step-by-step explanation:
Given
2(x + 1) = 2x + 5 ← distribute parenthesis on left side
2x + 1 = 2x + 5 ( subtract 1 from both sides )
2x = 2x + 4 ( subtract 2x from both sides )
0 = 4 ← not possible
This indicates the equation has no solution
Answer:
See below
Step-by-step explanation:
● 2(x+1) = 2x +5
Multiply 2 by (x+1)
● 2x + 1×2 = 2x+5
● 2x + 2 = 2x+5
Substract 2x from both sides
● 2x+2-2x = 2x+5-2x
● 2 = 5
This is impossible, so this equation has no solution.
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.
1. If the measure of an angle is 38°, find the measure of its complement.
O 38°
O 52°
O 142
62°
Answer:
52
Complementary Angles:
Two angles that add up to 90.
What is the value of m in the equation 1/2m -3/4n=16,when n=8?
A:20
B:32
C:44
D:48
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!
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.
hey please!! Thank you <33
Answer:
h÷2
Step-by-step explanation:
[tex]2\:gallons =1\:hour\\2 \: gallons = h \:hours\\2h = 2\\\frac{h}{2} = \frac{2}{2}[/tex]
1/4 > 1. Order the following rational numbers from greatest to least: 25% - 0.17 3 5 1.2 - 12 First convert these numbers to decimal form. Show your work below. You can write on the screen! Next, grab the numbers in the list and place them in order from GREATEST to LEAST!
Answer:
1.2, 3/5, 25%, 0.17, -12
Step-by-step explanation:
In order to put these from greatest to least, you must put these in like terms.
Since there are more decimals that other terms, we're going to convert them all to decimals.
25%= 0.25
0.17= 0.17
3/5= 0.60
1.2= 1.20
-12= -12.00
Now that we see which numbers are greater, we convert them back to their original terms and place them in order from greatest to least.
1.2, 3/5, 25%, 0.17, -12
Which expression models the following
phrase: "an hourly wage of $12.75"?
Answer:
h = number of hours worked
m = total wage of worked hours
12.75h = m
In the expression 11 + 3n, the coefficient is 11.
(1 point)
O This statement is false. In the expression 11 + 3n, the coefficient is 3.
This statement is true.
This statement is false. In the expression 11 + 3n, the coefficient is n.
This statement is false. In the expression 11 + 3n, the coefficient is +
Answer:
This statement is false. In the expression 11 + 3n, the coefficient is 3.
Step-by-step explanation:
Given
Expression: 11 + 3n
Required
Is 11 the coefficient?
In the given expression, there are two expression;
11 and 3n
Explaining 11
11 is just a constant as it doesn't have any variable attached to it
Explaining 3n
This can be expressed as 3 * n
As such;
[tex]3[/tex] is the coefficient and [tex]n[/tex] is the variable
Hence;
Option A answers the question
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".
For more about the number system,
https://brainly.com/question/22046046
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