1. Convert fraction into same decimal.
To find this answer, we want to first convert the fraction so that the denominators are the same:
3/4 = ?/8
Divide the original denominator by the needed-to-be denominator.
8 / 4 = 2
Do reversal calculations
4 x 2 = 8
So, now that we know to multiply the original denominator by 2 to get the new denominator, multiple the numeriator by the same.
3 6
_ x 2 = _
4 8
So now, the new equation is:
How many 1/8 teaspoons are equal to 4 6/8 teaspoons.
(The reason why you must convert is because then you can simply say that the fraction is 6 1/8's, which means you just have to worry about the whole numbers.
2. Convert the whole numbers into a fraction to make it easier.
In order to convert whole numbers into fractions, first find the denominator your using. Which in this case, it is 8.
?/8
Now remember, for it to be a whole number, the numeriator and denominator MUST be the same.
8/8 = 1
Now remember, there are four 1's. Multiply the numeriator by 4, but keep the denominator the same or else the equation is ruined.
32/8 = 4
3. Add all your information together.
DO NOT forget to add the information you collected during the equation, or else you will get a wrong answer. Add the equation's final answer to the whole numbers final answer.
32 / 8 + 6 / 8 = ?
32 / 8 + 6 / 8 = 38 / 8
Well now, remember something. It is asking us, how many 1/8's were in the equation 4 3/4. We have transformed 4 3/4 into a whole equation, 38/8.
Now, all you need to do is look at the numeriator.
What number do you see?
You see 38.
The denominator is the correct denominator that you need. So, the number of the numeriator is the answer to the equation.
So, how many 1/8 are in 38/8?
38!
The number of ⅛ teaspoons will equal 4¾ teaspoons is; 38 teaspoons
We want to find how many ⅛ teaspoons will equal 4¾ teaspoons.
To start with, let us convert 4¾ teaspoons from mixed fraction to improper fraction to get;
4¾ teaspoons = 19/4 teaspoons
Now to find out how many ⅛ teaspoons will equal 19/4 teaspoons, all we need to do is to divide 19/4 by ⅛
Thus;
19/4 ÷ 1/8
>> 19/4 × 8/1
>> 38 teaspoons
In conclusion the number of ⅛ teaspoons that are equal to 4¾ teaspoons is 38 teaspoons.
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-3.5 , 2 , -3 , -1 , -1.5
Least to greatest
Answer:
-3.5, -3, -1.5, -1, 2
Step-by-step explanation:
Answer:
-3.5, -3, -1.5, -1, 2
Step-by-step explanation:
negatives to positives
How is the sentence "8 less than y is 2" written as an equation?
A. 8-y = 2
B. y - 2 - 8
C. y - 8 - 2
D. y + 8 - 2
Answer:
y - 8 = 2
thats how you would write it so idk i guess pick c because its the closest
"8 less than y" ==> y-8
"is 2" ==> =2
therefore y-8=2
Chloe bought three pounds of strawberries for $16.80. What is the price, in dollars per ounce of strawberries?
Answer:
$5.60
Step-by-step explanation:
Each pound of strawberries costs $5.60.
To solve: $16.80 divided by 3
Pls help me I will give out points
Answer:
A, the first one
Step-by-step explanation:
On the left side, the graph is going closer to 0, that explains the first coordinate 0. On the right side, the graph approaches positive infinity, so that explains the infinity. I hope this helps!
1/2 + 2 3/4
Help please (◍•ᴗ•◍)❤
Answer:
3 1/4
Step-by-step explanation:
Answer:
3 1/4
Step-by-step explanation:
im going to change the fractions to decimals
1/2 = 0.5
2 3/4 = 2.75
0.5 + 2.75 = 3.25
now im going to switch it back to fraction
3.25 = 3 1/4
A school janitor has my 1/3 of the classroom in five minutes at what rate is he mopping
Answer:
1/15 per min
Step-by-step explanation:
3 times 5 equals 15 and so 1/15.
Try making a visual picture to see yourself.
Preview Activity 2.4.1. Consider the function f ( x ) = tan ( x ) , and remember that tan ( x ) = sin ( x ) cos ( x ) . What is the domain of f ? Use the quotient rule to show that one expression for f ′ ( x ) is f ′ ( x ) = cos ( x ) cos ( x ) + sin ( x ) sin ( x ) cos 2 ( x ) . What is the Fundamental Trigonometric Identity? How can this identity be used to find a simpler form for f ′ ( x ) ? Recall that sec ( x ) = 1 cos ( x ) . How can we express f ′ ( x ) in terms of the secant function? For what values of x is f ′ ( x ) defined? How does this set compare to the domain of f ?
Answer:
Step-by-step explanation:
Given the function f(x) = tan (x)
From trigonometry identity, tan (x) = sin(x)/cos(x)
f(x) = sin(x)/cos(x)
Using the quotient rule to find the derivative of the function, we will have;
f'(x) = cos (x)cos (x) - sin (x)[-sin (x)]/ cos²x
f'(x) = cos²x - sin²x/ cos²x
Divide through by cos²x
f'(x) = cos²x/cos²x + sin²x/cos²x / cos²x/cos²x
f'(x) = 1 + sin²x/cos²x / 1
f'(x) = 1 + (sin²x/cos²x)
f'(x) = 1 + tan²x
From trig identity, 1 + tan²x = sec²x
Hence, f'(x) = sec²x
Hence the expression f'(x) in terms of the secant function is sec²x
f'(x) = 1/cos²x
For the function to be defined, it means that cos²x ≠ 0
cos²x ≠ 0
cos x ≠ 0
x ≠ cos⁻¹0
x ≠ 90⁰
Hence the value of x must not be equal to 90 for the function to be defined. x can be defined at when x = 0 since cos 0 = 1, the equation will becomes f'(0) = 1/cos²0 = 1/1 = 1.
Hence the function is defined at 0≤x<90
Help!!!!!!!! I will give 10 points!
18:
multiply both sides
move the constants to the right
calculate
I added a picture if you need it. I hope this helps
45 2/3 + 30 1/2 + 12 3/4=?
Multiply both sides of the original equation by x, and find the solution set of the new equation.
X+1=2
Answer: (0, 1) Usually, we put the solutions in parenthesis.
Step-by-step explanation: x(x+1) = x(2) which = x²+ x = 2x = x² + x - 2x = 0
x² - x = 0. Now we divide by x which = x(x - 1) = 0 and the new solution set is x = 0 and x -1 = 0 which equals x = 1
PLLSSSS HEELP
Solve and graph this absolute value equation.
|x – 2| – 8 = 7
Step-by-step explanation:
y-8=7 y=15
|x-2|=15 has two solutions
17,-13
Answer:
answer
(x_2)- 8=7
2x=8-7
2x=1
that's the answer
PLEASE HELP ASAP What part of 6 3/5 is 3 /10 ? PLS HELP ASAP
Answer:
the 3/5 part of 6 3/5
Step-by-step explanation:
3/5 is equal to 3/10 because when you find the common denominator of 10, you multiply 3/5 by 2 and 3/10 by 1 because 10 is already 10. 3/5*2=6/10.
what is 1/11 divided by 4?(FRACTION FORM)
Answer: 1/44
Step-by-step explanation:
what function does this graph represent
Answer:
it would be b
Step-by-step explanation:
-.2 will cause reflection so eliminate a and c
if you do -1 than it will translate down so it has to be b
Answer:
f(x)= 0.2 (x - 2)^2 + 1
Step-by-step explanation:
I did the test.
which is the product of 7/9 and 6 in a fraction number
Answer:
4 2/3
Step-by-step explanation:
7/9 multiplied by 6/1 = 42/9
Simplify: 14/3
Turn it into a mixed number: 4 2/3
Math 7 A Unit 4 lesson 2 Please help quick
5/10-3/10
1/2+3/4
1/6+3/8
7/8-5/12
Answer:
2/10, 1 1/4, 13/24, 11/24
Step-by-step explanation:
1. subtract the fractions
2. add the fractions
3. add the fractions
4. add the fractions
The hypotenuse of a right triangle is 5inches long. The shorter leg is 1 inch shorter than the longer leg. Find the side lengths of the triangle.
Length of the shorter leg:
Length of the longer leg:
Length of the hypotenuse:
Answer:
Hypotenuse = 5 in
Longer leg = 4 in
Shorter leg = 3 in
Step-by-step explanation
The longer leg = x
The shorter leg = x - 1
Now through Pythagoras theorem:
hyp^2 = leg1^2 + leg2^2
5^2 = x^2 + (x - 1)^2
25 = x^2 + x^2 - 2 x + 1^2
25 = 2 x^2 - 2 x + 1
2 x^2 - 2 x - 24 = 0
2 ( x^2 - x - 12) = 0
2 (x - 4) (x + 3) =0
then x = 4 or x = - 3
We use the positive answer since we are looking for a length
then longer leg is 4 inches long,
and therefore the shorter one is one inch shorter than 4 in . That is:
shorter leg = 3 inches
ASAP
Which numbers are solutions of 4p+6<3p?
Choose exactly two answers that are correct.
−12
−9
−6
6
Answer:
See below
Step-by-step explanation:
Solving inequality:
4p + 6 < 3p4p - 3p < 6p < 63 of provided answers are correct:
-12, -9, -6If given correct, any combination of two can be shown as answer:
-12, -9-12, -6-9, -6Answer:
-12 and -9
Step-by-step explanation:
I just answered the problem on a quiz
What transformation occurs to the graph f (x) =2x + 3 if the 3 in the equation is changed to a 5?
What is qualitative data? Give an example.
Answer:
it is data that you can see or describe such as he is a boy
Step-by-step explanation:
Please I need help hurry!
Answer:
Step-by-step explanation:
Team B=2.2*4.8= 10.56
Team C : 10.56 *1.5=15.84
If BC = XY and XY = 8, then BC = 8
A Reflexive
B Transitive
Symmetric
none of the above
Answer:
Transitive
Step-by-step explanation:
It's like a train. Since bc is equal to xy and xy is 8.Then the value of xy equals to bc.
Write 0.6 as a percentage.
Answer:
60%
Step-by-step explanation:
all you need to do is multiply this by 100 (move two decimal places to the right).
0.6--> 60
60 percent
Answer: 60%
Explanation: .6 x 100 = 60
6/10 as hundredths in fraction form and decimal form
Answer:
60/100 and .6
Step-by-step explanation:
-6(1/4x-2/3x+5/6x) simplified .
Answer:
[tex]-2\frac{-1}{2}[/tex]
Step-by-step explanation:
To distribute the -6, multiply every numerator by -6, this gets you
-6/4+12/3-30/6
To put these together, they all need to have a common denominator. We can make all of the denomiators 12 by multiplying the numerator by whatever we multiply the denominators by to get 12.
-18/12+48/12-60/12
This gets you -30/12
To make this a proper fraction, divide -30 by 12 and put the whole number to the left of the fraction (-2), making a mixed number. The remainder stays a fraction which is -6/12. This reduces down to -1/2. Put -2 and -1/2 together to get [tex]-2\frac{-1}{2}[/tex]
Write a solution to the equation x^2 = 5 using a radical.
The solution is ± √5
The value of the equation is given by x = ± √5
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
x² = 5 be equation (1)
On simplifying the equation , we get
x² = 5
Taking the radical form , radical notation is the usage of a root in an expression, such as the square or cube root
So , taking square roots on both sides of the equation , we get
The value of x = ±√5
Therefore , the value of A is ±√5
Hence , The value of the equation is given by x = ± √5
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Which of the following functions represents the values in the table below?
x 0 2 4 6
f(x) 2 10 66 218
a f(x) = -3x - 2x 2
b f(x) =x^3/2
c f(x) = 2 + x 3
d f(x) = 3x - 2
Answer:
f(x) = 2 + x^3
Step-by-step explanation:
The function f(x)=2+x^3 satisfies all the values given in the table.
What is a function?
Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
For the third option C we will check all the values of x in the function.
[tex]f(x)=2+x^3\\\\\\f(0)=2+0^3=2\\\\\\f(2)=2+2^3=2+8=10\\\\\\f(4)=2+4^3=2+64=66\\\\\\f(6)=2+6^3=2+216=218[/tex]
Hence the function f(x)=2+x^3 satisfies all the values given in the table.
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evaluate the expression, (g◦f)(3), given the following functions.
f(x)=x+2 and g(x)=x
[tex]f(x) = x + 2\\g(x) = x\\(g \circ f) = g(f(x)) = x + 2\\g \circ f)(3) = 3 + 2 = 5[/tex]
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the endpoints of a diameter are
(
2
,
12
)
(
2
,
12
)
and
(
−
10
,
−
4
)
(
-
10
,
-
4
)
Tia types 66 words in 3 minutes. She wants to know how many words she can type in 5 and 10 minutes if she keeps the same rate. How many words does Tia type in 1 minute? Find the unit rate.
Answer:
Step-by-step explanation:
she can type 22 words in 1 minute and it takes her .045 seconds to type 1 word
she can type 110 words in 5 minutes and 220 words in 10 minutes.