[tex]\bf 3\div \cfrac{3}{4}\implies \cfrac{3}{1}\div\cfrac{3}{4}\implies \cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{1}\cdot \cfrac{4}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies 4[/tex]
Rewrite with common denominator then solve 7/9 subtract 2/3
to write them both with a common denominator, we simply multiply one by the other's denominator, so let's proceed,
[tex]\bf \cfrac{7}{9}\cdot \cfrac{3}{3}\implies \boxed{\cfrac{21}{27}}\qquad \qquad \qquad \cfrac{2}{3}\cdot \cfrac{9}{9}\implies \boxed{\cfrac{18}{27}}[/tex]
What is
110two
+ 111two=
Answer:
13
Step-by-step explanation:
110two
[tex]2 \times ( {1}^{2} ) + 2( {1}^{1} ) + 2 \times ( {0}^{0} ) \times ( {1}^{2} ) + 2 \times ( {1}^{1} ) \times ( {1}^{0} )[/tex]
=2+2+2=6
and
111two=
[tex]2 \times ( {1}^{2} ) + 2( {1}^{1} ) + 2 \times ( {1}^{0} )[/tex]
but
[tex] {1}^{0} = 1[/tex]
now adding the results for that one also
2+2+2 +1=7
adding the total for all
6+7= 13
Final answer:
The sum of the binary numbers 110two and 111two is 1101two, which is equivalent to 13 in decimal form.
Explanation:
The question asks for the sum of two binary numbers: 110two and 111two. To add these two binary numbers, we align them by their least significant bits and perform binary addition:
110
+ 111
-----
1101
This is equivalent to the decimal addition of 6 (110two) + 7 (111two) which equals 13. In binary, 13 is represented as 1101two.
need a answer
1*5-6+7(9x-7a)
Answer:
-1 + 63x - 49a
Step-by-step explanation:
Following order of operations rules:
1*5 = 5
Next, 5 - 6 = -1, and so we now have -1 + 7(9x - 7a).
Apply the distribution rule for multiplication next, obtaining -1 + 63x - 49a
(01.04 LC)Solve (−5) ⋅ (−3). −15 −8 8 15
Answer:
Positive 15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Having Trouble finding the answer.
The fractions models below represent two fractions of the same whole.
how many 7/10s are there in 1/5?
plz help! Thank YOU!
Answer:
3.5
Step-by-step explanation:
Changed them to decimals ( top number divided by the bottom will get you the decimal) and I got the answer. message me if you need more help
There are approximately 2/7 7/10s in 1/5.
The calculation step by step to find out how many 7/10s are there in 1/5.
1. We have two fractions:
[tex]- \( \frac{7}{10} \)[/tex]
[tex]- \( \frac{1}{5} \)[/tex]
2. To compare these fractions, we need to make their denominators the same. The least common multiple (LCM) of 10 and 5 is 10.
3. Convert both fractions to have a denominator of 10:
[tex]- \( \frac{7}{10} \)[/tex] remains the same.
[tex]- \( \frac{1}{5} \) becomes \( \frac{2}{10} \) (since \( \frac{1}{5} = \frac{2}{10} \)).[/tex]
4. Now, let's divide [tex]\( \frac{2}{10} \) by \( \frac{7}{10} \)[/tex]:
[tex]- \( \frac{2}{10} \div \frac{7}{10} \)[/tex]
- Multiply by the reciprocal of the second fraction:
[tex]\( \frac{2}{10} \cdot \frac{10}{7} \)[/tex]
- Multiply the numerators:[tex]\( 2 \cdot 10 = 20 \)[/tex]
- Multiply the denominators: [tex]\( 10 \cdot 7 = 70 \)[/tex]
[tex]- The result is \( \frac{20}{70} \), which simplifies to \( \frac{2}{7} \).[/tex]
5. Therefore, there are approximately 2/7 7/10s in 1/5.
Mr. and Mrs. Khan paid interest on their mortgage this year. They also had deductible home related expenses. The interest and expenses total an amount greater than the standard deduction. Which action can they take to reduce their income tax liability?
A) They can use the interest expense as a credit to reduce the tax they owe.
B) They can itemize deductions and deduct the interest expense.
C) They can request a reimbursement of the interest expense from the IRS.
D) They can add the interest expense to the taxable income.
E) They can reduce their mortgage payment next year by the amount of Interest they paid.
Answer:
B) They can itemize deductions and deduct the interest expense.
Step-by-step explanation:
I just got this right on Plato!
HENCE OPTION B IS CORRECT
What is income tax ?
Income tax is a sort of tax levied by governments on income made by businesses and persons within their jurisdiction. To assess their tax responsibilities, taxpayers are required by law to file an income tax return each year.
How to solve?
Check which statement will help Mr and Mrs khan to reduce income tax liability-
A) They can use the interest expense as a credit to reduce the tax they owe.
- interest expenses are not tax deductible
B) They can itemize deductions and deduct the interest expense.
-itemize will deduction will reduce income tax liability.
C) They can request a reimbursement of the interest expense from the IRS.
-Reimbursement is not part of reduction it is part of cashback as it is type of discount.
D) They can add the interest expense to the taxable income.
- It wi not hep to reduce income tax liability
E) They can reduce their mortgage payment next year by the amount of Interest they paid
-reducing mortgage will infact increase tax liability. if mortgage is removed.
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32 divided by 2(2^3 -4)
3(a+(6x)y)+(x+5) associative property of addition, commutative property of addition, or distributive property
3(a+y(6x))+(x+5) associative property of multiplication
Commutative property of multiplication
Distributive property
3a+y18x+(x+5)
Associative property of addition
Commutative property of addition
distributive property
The original equation was transformed using a series of mathematical properties. The associative and commutative properties of addition were used to rearrange the terms, and the distributive property was used to simplify the equation. This exercise helps to understand how different mathematical properties can be used to simplify algebraic expressions.
Explanation:The student has made changes in the equation by applying different mathematical properties like associative, commutative, and distributive properties. In the first transformation of equation, student applied the associative property of addition and commutative property of addition to rearrange terms inside brackets, then applied distributive property to multiply each term inside the bracket with 3. Similarly, in the second transformation, the associative property of multiplication was used to group certain terms together, then the distributive property was used to multiply these terms. Finally, the equation was simplified using the commutative property of addition.
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Help me please!! Will mark brainliest
Answer:
see explanation
Step-by-step explanation:
Given
F = [tex]\frac{9}{5}[/tex](K - 273.15) + 32
Multiply through by 5 to clear the fraction
5F = 9(K - 273.15) + 160 ( subtract 160 from both sides )
5F - 160 = 9(K - 273.15) ← distribute
5F - 160 = 9K - 2458.35 ( add 2458.35 to both sides )
5F + 2298.35 = 9K ( divide both sides by 9 )
K = [tex]\frac{5F+2298.35}{9}[/tex]
(b)
When F = 180, then
K = [tex]\frac{5(180)+2298.35}{9}[/tex]
= [tex]\frac{900+2298.35}{9}[/tex]
= [tex]\frac{3198.35}{9}[/tex]
≈ 355.37 ( to the nearest hundredth )
4(-8x + 5) = -24x – 16
Answer:
x = 9/2
Step-by-step explanation:
Solve for x:
4 (5 - 8 x) = -24 x - 16
Expand out terms of the left hand side:
20 - 32 x = -24 x - 16
Add 24 x to both sides:
24 x - 32 x + 20 = (24 x - 24 x) - 16
24 x - 24 x = 0:
24 x - 32 x + 20 = -16
24 x - 32 x = -8 x:
-8 x + 20 = -16
Subtract 20 from both sides:
(20 - 20) - 8 x = -20 - 16
20 - 20 = 0:
-8 x = -20 - 16
-20 - 16 = -36:
-8 x = -36
Divide both sides of -8 x = -36 by -8:
(-8 x)/(-8) = (-36)/(-8)
(-8)/(-8) = 1:
x = (-36)/(-8)
The gcd of -36 and -8 is -4, so (-36)/(-8) = (-4×9)/(-4×2) = (-4)/(-4)×9/2 = 9/2:
Answer: x = 9/2
Answer:
x = 9/2
Step-by-step explanation:
-32x+20=-24x-16
-32x+24x+20=-16
-8x=-16-20
-8x=-36
x=9/2
Help please I would appreciate it
Answer:
SORRY DONT KNOW
Step-by-step explanation:
the measure of angle ∠21 must be 55 degrees for line b to be parallel to line a.
In order for line b to be parallel to line a, the measure of angle ∠21 must be 125 degrees. Corresponding angles are angles that are in the same position relative to two intersecting lines. Since lines a and b are parallel, we know that corresponding angles ∠1 and ∠21 are congruent. Therefore, we can set up the following equation to find the measure of ∠21:
∠1 + ∠21 = 180° (because they are supplementary angles)
Substituting 125° for the measure of ∠1, we get:
125° + ∠21 = 180°
Solving for ∠21, we get:
∠21 = 180° - 125°
∠21 = 55°
What is standard form of 7x1+3x(1/10)+4x(1/100)
Answeuse a caculator then write it our
Step-by-step explanation:
The standard form of 7 x 1 + 3 x ( 1/10 ) + 4 x ( 1 / 1000 ) is 0.7304 x [tex]10^{1}[/tex].
Given,
7 x 1 + 3 x ( 1/10 ) + 4 x ( 1 / 1000 )
We need to write this large number in standard form.
What is a standard form?A standard form is a way of expressing a large number as a decimal number between 0 and 1 (including 1) and multiplied by a power of 10.
We have,
7 x 1 + 3 x ( 1 / 10 ) + 4 x ( 1 / 1000 )
7 + 0.3 + 0.004
7.304
Since we need a decimal point between 0 and 1.
We will multiply 7.304 by 10 / 10.
so we have,
7.304 x 10 / 10
(7.304 / 10 ) x 10
0.7304 x 10
Remember that a number to the power 1 is the number itself.
[tex]10^{1} = 10[/tex]
We see that in 0.7304 x [tex]10^{1}[/tex],
0.7304 is a decimal point between o and 1 and we have a power of 10.
It satisfies the standard form of a number.
Thus the standard form of 7 x 1 + 3 x ( 1/10 ) + 4 x ( 1 / 1000 ) is
0.7304 x [tex]10^{1}[/tex].
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PLEASEEEE HELP THANK YOU!!!
Answer:
- 4 < x ≤ 7
Step-by-step explanation:
Given
- 10 ≤ - 5x + 25 < 45 ( subtract 25 from all 3 intervals )
- 35 ≤ - 5x < 20
Divide all 3 intervals by - 5, reversing the inequality signs as a consequence.
7 ≥ x > - 4
Hence - 4 < x ≤ 7
9/10 ÷ 2/10 ansewer
Answer:
4.5 or 4 and a half
Step-by-step explanation:
9/10 divided by 2/10
put 2/10 into it's reciprocal and multiply it by 9/10
10/2 * 9/10
10 9
_ * _
2 10
^ (visualization)
multiple into 90/20, divide numerator and denominator by 10 to get 9/2
9/2 is 4.5
Answer: 4.5 or 9/2
Step-by-step explanation:
9/10 ÷ 2/10
9/10 x 10/2
9 x 10 = 90
10 x 2 = 20
Simplified: 9/2 or 4.5
What’s the answer
To the problem it’s kinda hard
What is the pattern for -5, 10, -15, 20, -25
Answer:
The number 5 multiplied by -1 then by 2 then by -3 then by 4....... (alternating positive and negative
Step-by-step explanation:
5*-1 = -5
5*2 = 10
5*-3= -15
5*4= 20
5*-5 = -25 ......
If 3(x - 4) = x + 4, then x =8
Answer:
Valid
Step-by-step explanation:
3(x-4)=x+4 Given
3x-12=x+4 Distribute
2x=16 Subtract x from both sides and add 12 to both sides
x=8 Divide each side by 2.
Hey there!
3(x - 4) = x + 4
3(x) + 3(-4) = x + 4
3x - 12 = x + 4
3(8) - 12 = 8 + 4
24 - 12 = 8 + 4
12 = 12
Therefore, this makes this statement TRUE
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
four times the difference of b and six is equal to b squared
Answer:
4(b-6)=b^2
Step-by-step explanation:
The difference would mean that it is subtraction and you multiply that difference by 4 and set it equal to b squared
According to the statement, the given equation is 4(b - 6) = b², and the value of b is 2 + 4.472i and 2 - 4.472i.
To solve the equation given: 4(b - 6) = b², we need to first expand and simplify.
4b - 24 = b²
b² - 4b + 24 = 0
b = 2 + 4.472i and 2 - 4.472i.
June bought
3
1
2
gallons of white paint at $17.50 per gallon and
1
3
4
gallons of blue paint at $19.00 per gallon.
What was her total cost?
PLEASE IF ITS RIGHT ILL GIVE ANNY ONE 5 STARS AND A THANKS HELP ME
Answer:
$8006
Step-by-step explanation:
312*17.5=5460
134*19=2546
5460+2546= 8006
Solve for g: 5/8 = 12/g
Answer:
Step-by-step explanation:
[tex]\frac{5}{8} = \frac{12}{g}[/tex]
Multiplying both sides by [tex]g[/tex] gives us the following:
[tex]\frac{5g}{8} = 12[/tex]
Multiplying both sides by 8 gives us the following:
[tex]5g = 108[/tex]
Dividing both sides by 5 gives us the answer:
[tex]g = 21.6[/tex]
Hello.
To do this problem, cross multiply.
(8)(12)= 5g
96 = 5g
g = 96/5
g= 19.2
Hope that helped!
************************
Disclaimer:
Always double check your answer with a reliable source, as mistakes can be made.
Match each polynomial expression to its additive inverse
Answer:
(1, 2, 3, 4) matches (A, C, B, D)
Step-by-step explanation:
The additive inverse of a term is formed by changing the sign. The additive inverse of the polynomial is formed by changing the sign of every term.
If we call the expressions on the left (top-to-bottom) 1, 2, 3, 4, and those on the right A, B, C, D, then the match-up in this presentation of the question is ...
1 - A
2 - C
3 - B
4 - D
_____
YMMV if the expressions are mixed differently
Answer:
Heres an ss of the answers
Step-by-step explanation:
How would you solve this?
Answer:
2 2/3 cups of flour
Step-by-step explanation:
2/3 • 4 = 2 2/3
That's because 2/3 already makes 2 dozen cookies and you need to make 8 dozen so you need to multiply by 4 to get your answer.
which expression is equivalent to -51-(-60)
-51 + 60
51 - 60
-60 + (-52)
60 + 51
Answer:-51+60
Step-by-step explanation: go into debt lose more money go farther into debt
Solve for x: 2/3(x − 2) = 4x.
A. x = -2/5
B. x = -5/2
C. x = 2/5
D. x = −2
Answer:
a
Step-by-step explanation:
Answer:
[tex]\large\boxed{A.\ x=-\dfrac{2}{5}}[/tex]
Step-by-step explanation:
[tex]\dfrac{2}{3}(x-2)=4x\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{2}{3\!\!\!\!\diagup_1}(x-2)=(3)(4x)\\\\2(x-2)=12x\qquad\text{divide both sides by 2}\\\\\dfrac{2\!\!\!\!\diagup^1(x-2)}{2\!\!\!\!\diagup_1}=\dfrac{12\!\!\!\!\!\diagup^6x}{2\!\!\!\!\diagup_1}\\\\x-2=6x\qquad\text{subtract}\ x\ \text{from both sides}\\\\x-x-2=6x-x\\\\-2=5x\qquad\text{divide both sides by 5}\\\\\dfrac{-2}{5}=\dfrac{5\!\!\!\!\diagup^1x}{5\!\!\!\!\diagup_1}\\\\-\dfrac{2}{5}=x\to x=-\dfrac{2}{5}[/tex]
Using =2L+2W, Find L when P is 50 and W is 10
Answer:
L = 15
Step-by-step explanation:
P = 2L + 2W
you know that P = 50, W=10
So you have to replace those values on the equation
50 = 2L + 2*(10) --> Replace P and W
50 = 2L + 20 --> Multiply and now you are going to separate the unknown and the constants.
Remember that if you send a constant to the other side of the equal the sign will change to its opposite
50 - 20 = 2L --> Solve the constants
30 = 2L --> Now for the L, you have to leave it alone, so the 2 that is multiplying you have to send it to the other side of the equal but with the opposite operation, the opposite operation of multiplying is dividing, so you have:
30/2 = L
L= 15
Write an expression to describe the relationship in each table 10,12,15. 7,9,12
The relationship in each table is that each number is obtained by adding 2 to the previous number.
Explanation:The relationship between the numbers in the first table is that each number is obtained by adding 2 to the previous number. The expression to describe this relationship is n + 2, where n is any given number in the table.
The relationship between the numbers in the second table is that each number is obtained by adding 2 to the previous number. The expression to describe this relationship is n + 2, where n is any given number in the table.
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524+920 Enter your answer either as an integer or as a fraction in simplest form
Answer:
1444
Step-by-step explanation:
524 + 920 = 1444
Answer:
1,444/1
Step-by-step explanation:
The answer to the problem is 1,444. To put the answer in fraction form, you can say 1,444/1. If they are asking for the numbers to be put in fraction form, you can say 524/1 + 920/1. If they are asking both, 524/1 + 920/1 = 1,444/1.
i’m stuck on number 8 plz help anyone !!
Answer:
Sally's km/h during the first half hour is 7 .
The lowest average speed is between the 3rd and 4th stops.
Step-by-step explanation:
On the table during the first half hour, Sally traveled 7 km.
From the first stop to the second stop, she traveled 8 km; from the second stop to the third stop, she traveled 6 km; from the third stop to the fourth stop, she traveled 3 km; from the fourth stop to the fifth stop, she traveled 4 km; and from the fifth stop to the sixth stop she traveled 8 km. Therefore The lowest average speed is between the 3rd and 4th stops.
Plz rate Brainliest because this took a long time.
What is the domain of the function graphed ? F(x)=√x+4
A. x≤-4
B. x≥0
C. x≥-4
D. x≥4
The domain of the function F(x) = √(x+4) is all real numbers greater than or equal to -4, which corresponds to option C. x≥-4.
Explanation:The student has asked about the domain of the function F(x) = √(x+4). To determine the domain of this function, we need to consider the values of x for which the expression under the square root, x+4, is non-negative, since the square root of a negative number is not defined in the set of real numbers.
The expression x+4 is non-negative when x ≥ -4. Therefore, any number greater than or equal to -4 is part of the domain of the function.
This means the correct answer to the question is C. x≥-4.
I'LL GIVE BRAINLIEST HELP
~20 pts~
Jim is paid for overtime when he works more than 40 hours per week.
a. Write an expression for the number of hours he works overtime when he works h hours.
b. Find the number of hours Jim works overtime when he works 40, 44, 48, and 52 hours.
Hey!
------------------------------------------
Part A:
h - 40
------------------------------------------
Part B:
40 - 40 = 0 overtime hours.
44 - 40 = 4 overtime hours.
48 - 40 = 8 overtime hours.
52 - 40 = 12 overtime hours.
------------------------------------------
Hope This Helped! Good Luck!
Answer:
The required expression is [tex] O=h - 40[/tex].
For 40 hrs overtime is 0 hrs.
For 44 hrs overtime is 4 hrs.
For 48 hrs overtime is 8 hrs.
For 52 hrs overtime is 12 hrs.
Step-by-step explanation:
Consider the provided information.
Part (A)
It is given that Jim is paid for overtime when he works more than 40 hours per week.
Let Jim works for h hrs and O represents the overtime, Then overtime can be represented as:
O = h - 40
The expression for the number of hours he works overtime when he works h hours is:
[tex] O=h - 40[/tex]
Part (B) Find the number of hours Jim works overtime when he works 40, 44, 48, and 52 hours.
Substitute h=40 in the obtained expression.
[tex] O=40 - 40[/tex]
[tex] O=0[/tex]
Hence, for 40 hrs overtime is 0 hrs.
Substitute h=44 in obtained expression.
[tex] O=44 - 40[/tex]
[tex] O=4[/tex]
Hence, for 44 hrs overtime is 4 hrs.
Substitute h=48 in obtained expression.
[tex] O=48 - 40[/tex]
[tex] O=8[/tex]
Hence, for 48 hrs overtime is 8 hrs.
Substitute h=52 in obtained expression.
[tex] O=52 - 40[/tex]
[tex] O=12[/tex]
Hence, for 52 hrs overtime is 12 hrs.