Answer:
The answer is
[tex] \frac{48}{64} [/tex]
Step-by-step explanation:
Equivalent fractions are set of fractions which have the same value when simplified.
The equivalent fraction to 6/8 whose numerator is 16 less than its denominator can be obtained through two basic methods below.
Method 1
Multiply the numerator and denominator by 8 respectively.
[tex] \frac{6}{8} = \frac{6 \times 8}{8 \times 8} = \frac{48}{64} [/tex]
The numerator being 16 less than the denominator is:
[tex]48 - 64 = - 16[/tex]
Method 2
Find the equivalent fraction to 6/8 whose numerator is 16 less than its denominator by continuous multiplication approach. In other words, multiply 6/8 till you arrive at an equivalent fraction whose numerator is 16 less than its denominator. Simply multiply 6/8 by 2, 3, 4, 5, 6, 7, 8. Thus:
[tex] \frac{6}{8} = \frac{12}{16} = \frac{18}{24} = \frac{24}{32} = \frac{30}{40} = \frac{36}{48} = \frac{42}{56} = \frac{48}{64} [/tex]
The difference between the numerator and denominator of the equivalent fractions are: -2, -4, -6, -8, -10, -12, -14, -16
Hence, 48/64 is the equivalent fraction to 6/8 whose numerator and denominator difference is less than 16.
That is,
[tex] \frac{6}{8} = \frac{48}{64} [/tex]
Such that 48 - 64 = -16.
The fraction equivalent to 6/8 with a numerator 16 less than the denominator is 48/64, which simplifies to 3/4.
Explanation:To find an equivalent fraction to 6/8 where the numerator is 16 less than the denominator, we use an equation to represent the relationship between the numerator (N) and the denominator (D): N = D - 16. Since 6/8 can be simplified to 3/4 by dividing both the numerator and denominator by 2, we set up the following equation: N/D = 3/4.
By substituting N with (D - 16), we get (D - 16)/D = 3/4. To find the value of D, we cross multiply: 4(D - 16) = 3D. Solving for this, we have 4D - 64 = 3D, and therefore D = 64. Since N is 16 less than D, N = 64 - 16, which gives us N = 48. So, the fraction we are looking for is 48/64.
We can check that 48/64 is indeed equivalent to 3/4 by simplifying. Dividing both numerator and denominator by 16, we get 48/64 = 3/4. Thus, the student's fraction is 48/64 which simplifies to 3/4.
I don’t understand how to solve it
Answer:
$3.19
Step-by-step explanation:
so he starts with $18.90 and we know that he spent $2.95. So we will subtract $2.95 from $18.90. So we are left with $15.95. But now its says he bought 5 items with $15.95. So we will divide 15.95 by 5. So the price of the item that he bought 5 of is $3.19
If you are at a higher level you can use this method:
make and equation of: 5x + 2.95 = 18.90
with this you would subtract 2.95 and then divide by 5 just like we did above.
Answer:
d. 15.95
Step-by-step explanation:
So if one item cost $2.95 and he bought 5 other items that were the same price, we first have to subtract $2.95 from the total which is $18.90.
18.90 - 2.95 = 15.95
Now, to find the cost of the other five items we divide the amount of money left by 5.
15.95 / 5 = 3.19
So each of the other five items costs $3.19.
To find the total cost of the five items together, we multiply 3.19 by 5.
3.19 x 5 = 15.95
The product of 6.3 and g increased by 14
Answer:
Step-by-step explanation:
6.3g + 14
Answer:
6.3g + 14
Step-by-step explanation:
2/5 with an exponent of 3
Answer:
2/5 with an exponent of 3 is 8/125 or 0.064
Step-by-step explanation:
Given:
A fraction = 2/5
Exponent = 3
To find the value of the fraction using the exponent.
We know that :
⇒ [tex](a)^3=a\times a\times a[/tex]
The exponents is the number of times a number is multiplied.
So,
⇒ [tex](\frac{2}{5})^3[/tex]
⇒ [tex]\frac{2\times 2\times 2}{5\times 5\times 5}[/tex]
⇒ [tex]\frac{8}{125}[/tex]
On further division the number can be written as 0.064
PLZZZ HELP ASAP!!!!! Part A: Explain how to write an equivalent expression for 3(4x + 2) using the distributive property. Part B: Prove the 2 expressions are equivalent by substituting x = 2 into both expressions. *
3(4x + 2)
= 3 . 2(2x + 1)
= 6(2x + 1)
proof
• 3(4x + 2)
= 3(4(2) + 2)
= 30
• 6(2x + 1)
= 6(2(2) + 1)
= 30
Fully simplify. −3x2y5(5x5y4)-3x^2y^5(5x^5y^4) −3x 2 y 5 (5x 5 y 4 )
PLEASE HELP MEE
Examine this system of equations. Which number can be multiplied by each equation so that when the two equations are added together, the y term is eliminated?
Three-fourths x + two-thirds y = 6
StartFraction 5 Over 8 EndFraction x + five-sixths y = 12
A) 15 times the first equation and 12 times the second equation
B) 15 times the first equation and –12 times the second equation
C) 30 times the first equation and –6 times the second equation
D) 30 times the first equation and 6 times the second equation
Answer:
The answer is b
Step-by-step explanation:
I took the test
Answer:
B
Step-by-step explanation:
10. Calculate 18% of 75 to one decimal place.
First write 18% as a decimal by moving the decimal point two places to the left to get .18.
The word "of" means multiply, so we have (.18)(75) which is 13.5.
Answer:
13.5
Step-by-step explanation:
18% of 75
18% /100% x 75
0.18 x 75
13.5
Which of the following linear equations has the steepest slope?
Answer:
D
Step-by-step explanation:
Increase 750 g by 20%.
Answer:
900 g
Step-by-step explanation:
Increase by 20% means 120% of the value
120/100 × 750
900g
Please give me the answer and explain how you got it.
The measure of m∠KPN is 68°.
Step-by-step explanation:
From the given diagram, we are given with lines passing through a point P creating different angles.
Data given,
m∠KPN = 4x°.
m∠NPO = (x+5)°.
And m∠KPO= 90°.
The m∠KPO is spitted into m∠KPN and m∠NPO.
Thus the sum of m∠KPN and m∠NPO will be m∠KPO.
⇒m∠KPN + m∠NPO =m∠KPO.
Substitute the values to find x value.
4x°+(x+5)°= 90°.
(°5x+5)=90°.
5x°=90°-5°.
5x°=85°.
x=[tex](\frac{85}{5} )[/tex].
x= 17.
⇒m∠KPN = 4x°.
=4(17)°.
m∠KPN =68°.
Thus the measure of m∠KPN is 68°.
I WILL MARK BRAINLIEST TO WHOEVER GETS IT FIRST.
Convert 2000 ft per minute to miles per hour. Round to the nearest tenth.
Answer:
22.7
Step-by-step explanation:
Ami is having a pizza party on Saturday night. She ordered 8 pizzas. If the average person eats 1/3 of a pizza, how many persons will 8 pizzas serve
Answer:
The answer is 24
Step-by-step explanation:
If each person eats 1/3 of the pizza then that means it takes 3 people to eat a whole pizza so you multiply three times 8 and you get twenty four.
What is 4c + 8c = -55 + 3c
To solve this, you need to isolate/get the variable "c" by itself in the equation:
4c + 8c = -55 + 3c You can first combine like terms (4c and 8c)
12c = -55 + 3c Subtract 3c on both sides
9c = -55 Divide 9 on both sides
[tex]c=-\frac{55}{9}[/tex]
3. Robert let 100 students listen to his Ipod. After listening to his Ipod 75 students said they
liked his music while 25 students said they did not like his music. Johnny says that for every
3 students who liked Robert's music, there was 1 person who did not like his music. Is this
true?
Answer: has because 1/4 is 25 and 3/4 is 75
Step-by-step explanation:
Which of the following relations is a function? A. (11, 5), (3, -9), (9, 0), (11, -6) B. (0, 11), (-9, 3), (0, 9), (-9, -6) C. (5, 11), (-9, 3), (0, 9), (-6, 11) D. (5, 11), (-9, 3), (0, 9), (0, -6)
The relation {(5 , 11) , (-9 , 3) , (0 , 9) , (-6 , 11)} is a function ⇒ C
Step-by-step explanation:
Let us revise the relation and the function:
A relation is a set of inputs and outputsA function is a relation with one output for each inputIn the function every input has only one output, that means the input can not be repeatedEx: {(-1 , 3) , (0 , -1) , (-1 , 0)} is not a function because the input -1 has two outputs 3 and 0A. {(11 , 5) , (3 , -9) , (11 , -6)
∵ The input 11 has two outputs 5 and -6
∵ In the function each input has only one output
∴ The relation is not a function
B. {(0 , 11) , (-9 , 3) , (0 , 9) , (-9 , -6)
∵ The inputs 0 and -9 have two outputs 11 , 9 and 3 , -6
∵ In the function each input has only one output
∴ The relation is not a function
C. {(5 , 11) , (-9 , 3) , (0 , 9) , (-6 , 11)}
∵ Each input has only one output
∵ In the function each input has only one output
∴ The relation is a function
D. {(5 , 11) , (-9 , 3) , (0 , 9) , (0 , -6)}
∵ The input 0 has two outputs 9 and -6
∵ In the function each input has only one output
∴ The relation is not a function
The relation {(5 , 11) , (-9 , 3) , (0 , 9) , (-6 , 11)} is a function
Learn more:
You can learn more about the functions in brainly.com/question/10382470
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Answer:
D
Step-by-step explanation:
Multiply the algebraic expression using a Special Product Formula and simplify.
(x − 7y)^2
The simplified expression is x^2 - 14xy + 49y^2.
To multiply the expression (x - 7y)^2 using the Special Product Formula, we can use the formula (a - b)^2 = a^2 - 2ab + b^2.
In this case, a = x and b = 7y. Plugging these values into the formula, we get:
(x - 7y)^2 = x^2 - 2(x)(7y) + (7y)^2
Simplifying further:
= x^2 - 14xy + 49y^2
So, the simplified expression is x^2 - 14xy + 49y^2.
Two angles are supplementary. The larger angle is 15 more than 10 times the smaller angle. Find the measure of each angle
15° and 165°
Step-by-step explanation:
Step 1 :
Let x and y denote the angles with x as the smaller angle and y as the larger angle
When 2 angles are supplementary, the sum of both the angles is 180 degrees.
Hence x + y = 180
Step 2:
Given that the larger angle is 15 more than 10 times the smaller angle
Hence y = 15 + 10 x
Step 3 :
Solving for the 2 equations we have
11x = 165 => x = 15
=> y = 180-15 = 165
Hence the 2 angles are 15 and 165 degrees.
A bakery uses ounces of icing for every of a cake. What is the unit rate in ounces of icing per cake?
A.
ounces of icing per cake
B.
ounces of icing per cake
C.
ounces of icing per cake
D.
ounces of icing per cake
Answer:
Here is a similar question:
A bakery uses 10 1/5 ounces of icing for every 1/4 of a cake. What is the unit rate in ounces of icing per cake.
The unit rate in ounces of icing per cake = 40 4/5 ounces
Step-by-step explanation:
Given:
Ounces of ice used for every 1/4 cake = 10 1/5
We have to find the unit rate.
Let the unit rate be 'x' .
Unit rate is the rate when we use unit 'one' as our reference to find any value.
Lets convert the mixed fraction of ounces.
⇒ [tex]10\frac{1}{5} = \frac{(10\times 5)+1}{5} =\frac{51}{5}[/tex]
Portion of the cake used = [tex]\frac{1}{4}[/tex]
To find the unit rate here we must divide :
⇒ [tex]x=\frac{number\ of\ ounces\ used}{portion\ of\ the\ cake}[/tex]
⇒ [tex]x=[/tex] [tex]\frac{51}{5}[/tex] ÷ [tex]\frac{1}{4}[/tex]
⇒ [tex]x=[/tex] [tex]\frac{51}{5}\times \frac{4}{1}[/tex]
⇒ [tex]x=[/tex] [tex]\frac{51\times 4}{5}[/tex]
⇒ [tex]x=[/tex] [tex]\frac{204}{5}[/tex]
⇒ [tex]x=[/tex] [tex]40\frac{4}{5}[/tex] Or [tex]40.8[/tex]
Hence, the unit rate in ounces of icing per cake = 40 4/5 ounces.
Answer:
Another similar question:
A bakery uses 10 3/5 ounces of icing for every 1/4 of a cake. What is the unit rate in ounces of icing per cake?
Step-by-step explanation:
Answer is 42 2/5
10 3/5 ÷ 1/4 = 53/5 ÷ 1/4
= 53/5 x 1/4
= 212/5
= 42 2/5
What are the dimensions of the rectangle shown on the coordinate plane? On a coordinate plane, a rectangle has points (1, -1), (10, -1), (10, -5), (1, -5). The base is 3 units and the height is 9 units. The base is 9 units and the height is 4 units. The base is 10 units and the height is 4 units. The base is 11 units and the height is 6 units.
The dimensions of the rectangle shown on the coordinate plane is The base is 9 units and the height is 4 units.
Option: B.
Step-by-step explanation:
We are given with the coordinate points of a rectangle.
The points are (1, -1), (10, -1), (10, -5), (1, -5).
From the given graph, the bigger side is the base and the height is the smaller side.
The points (1, -1), (10, -1) and (1, -5), (10, -5) can be used to find the base of the rectangle.
The points (10, -1), (10, -5) and (1, -1), (1, -5) can be used to find the height of the rectangle.
Let us find the base using coordinate point (1, -5), (10, -5) .
Since the base runs horizontally on the x-axis, we have to find the run.
run = [tex]x_2-x_1[/tex].
run = 10-1.
run (base)= 9 units.
Let us find the base using coordinate point (10, -1), (10, -5) .
Since the height runs vertically on the y-axis, we have to find the rise.
rise = [tex]y_2-y_1[/tex].
rise = -5-(-1).
rise=-5+1.
rise (height)= 4 units. ( Units are always measured in positive.)
∴ The base is 9 units and the height is 4 units.
how to solve 3(x+4)-2(x+4)
Answer:
1.Distribute values
(3x+12)-(2x+8)
2.Add common terms
x+4
.
.
Tessa had $90 in her checking account. She paid her cable/internet bill for $75. She
deposited $50 from her part-time job before writing a check for $80 to pay her
credit card bill. What is Tessa's account balance?
Answer:
I believe the answer is -15, I calculated it and thats what i got
Step-by-step explanation:
Tessa's account balance is $-15.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that Tessa had $90 in her checking account. She paid her cable/internet bill for $75.She deposited $50 from her part-time job before writing a check for $80 to pay her credit card bill.
The remaining amount is calculated as:-
Balance = 90 + 50 - 75 -80
Balance = $-15
Hence, the account balance is $-15.
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A pot of boiling water at 212 degrees Fahrenheit on the stove has less thermal energy than a hot tub full of water at 100..4 degrees. true or false
Answer:
False
Step-by-step explanation:
Whichever has more heat (in this case the stove) has more thermal energy
• Determine the coordinates of the vertices of the rectangle to compute the area of the rectangle using the distance formula (round
to the nearest integer).
A) 35units B) 50units C) 60units D) 70units
Answer:
the correct answer is d
Step-by-step explanation:
The Area of rectangle is 30 sq. unit.
What is Distance Formula?The distance between two points A( a,b) and B(c, d) in coordinate plane is
D= √(c- a)² + (d- b)²
Given:
From the figure the coordinates of rectangle are A(3, 8), B(6, 11), C(11, 6) and D(8, 3).
Using Distance Formula
length: l = √(8-3)² + (3-8)² = √25 + 25 = √50
width: w= √(6-3)² + (11- 8)² = √9+9 = √18
So, the area of rectangle = l x w
= √50 x √18
= √50 x √18
= √900
= 30 sq. unit.
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As, the Questions figure is not given. So, this question is solved with different figure but with same method of solving.
Given f(x) = x² + 8x and g(x) = x4, choose
the expression for (fºg)(x).
The expression for the new function (fog(x)) = x⁸ + 8x⁴
What is a composite function?
A composite function some called function of a function is a process whereby two functions produce a third function.
Let assume there is a function f(x) and g(x), a composite function fog(x) read as f of g of x, produces a third function h(x).
In the given question, we are to find (fog) (x), we will replace the value of the function g(x) for x in f(x).
i.e.
f(g(x) = x² + 8x
[tex]f(g(x) = (x^4)^2+8(x^4)[/tex]
[tex]f(g(x)) = x^8+8x^4[/tex]
Help please!!! Show how you go the answer too
Answer:
Step-by-step explanation:
If QPS is a right angle we know a right angle equals 90 degrees. so you can find your answer by doing 90-35.
Therefore getting 56.
Hope this helps :)
please help i will mark brainliest 50 points
Mr. Wilson is giving his students a vocabulary test tomorrow over all the terms they have learned from this semester. Today, he wants to determine how prepared the students are for the test. So, he writes each term on a note card and puts all the note cards in a paper bag. Then, he asks each student to come to his desk, select five note cards out of the bag, define those five terms, and then put the note cards back in the bag. He records the number of terms each student is correctly able to define.
What is the population in this situation? What is the sample? Use complete sentences in your answer.
Do you think the data from the sample Mr. Wilson is collecting is representative of the population? Explain your reasoning using complete sentences.
The population in this situation is all the terms that the teacher taught this semester and that are represented in the note cards and put in the paper bag.
Explanation:
The population in this situation of Mr Wilson is all the terms that the teacher taught this semester and that are represented in the note cards and put in the paper bag. The sample is every set of 5 note cards that is selected by the students.
The data is representative of the population because they are selected randomly without bias. Every of term has the same probability of being selected. Also it given that the cards are replaced every time, so all the students will face the same population when they are going to select a sample.
What is 1 1/3 times 1 4/9 in fraction form
Answer:
52 / 27
Step-by-step explanation:
To multiply mixed numbers, convert them into improper fractions. Multiply the two improper fractions together and simplify the result.
Explanation:To multiply mixed numbers, we first convert them into improper fractions. To convert 1 1/3 into an improper fraction, we multiply the whole number (1) by the denominator (3) and add the numerator (1). This gives us 4/3. Similarly, to convert 1 4/9 into an improper fraction, we multiply the whole number (1) by the denominator (9) and add the numerator (4). This gives us 13/9.
Now, we can multiply the two improper fractions together. 1 1/3 times 1 4/9 equals (4/3) * (13/9). To multiply fractions, we multiply the numerators together and multiply the denominators together. So, (4/3) * (13/9) equals (4 * 13) / (3 * 9), which simplifies to 52/27.
Therefore, 1 1/3 times 1 4/9 in fraction form is equal to 52/27.
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To add 547+ 327, would you need to regroup ?
Answer:
yes
Step-by-step explanation:
when addi g the ones place it would result in 14 so u would need to regroup the 1 into the tens place
Which equation best describes the graph of the line that has slope-1/3 and passes through point
(3.-9)?
Answer:
y=-1/3x-8
Step-by-step explanation:
y-y1=m(x-x1)
y-(-9)=-1/3(x-3)
y+9=-1/3x+3/3
y+9=-1/3x+1
y=-1/3x+1-9
y=-1/3x-8
Use properties of rational numbers to multiply the following.
6/7 x 42.21
Step-by-step explanation:
We have,
[tex]\dfrac{6}{7} \times 42.21[/tex]
To find, the value of [tex]\dfrac{6}{7} \times 42.21[/tex] = ?
∴ [tex]\dfrac{6}{7} \times 42.21[/tex]
= [tex]\dfrac{6}{7} \times \dfrac{4221}{100}[/tex]
We know that,
The properties of rational numbers,
[tex]\dfrac{a}{b} \times \dfrac{c}{d} =\dfrac{a\times c}{b\times d}[/tex]
= [tex]\dfrac{6\times 4221}{7\times 100}[/tex]
= [tex]\dfrac{25326}{700}[/tex]
= 36.18
Thus, the value of [tex]\dfrac{6}{7} \times 42.21[/tex]= 36.18