Answer:C=8
Step-by-step explanation:
32 divided by 4 = 8
Which of these ordered pairs is a solution to the inequality?
1/4x ≤ 7/3y +2
Responses
A (80, 6)
B (48, 9)
C (40, 3)
D (2, –6)
Please show step by step as I need to learn how to do these problems. Thank you
Answer: D
Step-by-step explanation:
To determine which ordered pair is a solution to the inequality, we can substitute the values of x and y into the inequality and check if it is true.
Let's start with ordered pair A (80, 6):
1/4x ≤ 7/3y + 2
1/4(80) ≤ 7/3(6) + 2
20 ≤ 14 + 2
20 ≤ 16
This is not true, so ordered pair A is not a solution to the inequality.
Now let's try ordered pair B (48, 9):
1/4x ≤ 7/3y + 2
1/4(48) ≤ 7/3(9) + 2
12 ≤ 21 + 2
12 ≤ 23
This is also not true, so ordered pair B is not a solution to the inequality.
Next, let's try ordered pair C (40, 3):
1/4x ≤ 7/3y + 2
1/4(40) ≤ 7/3(3) + 2
10 ≤ 7 + 2
10 ≤ 9
This is false, so option C is not a solution to the inequality.
Finally, we have option D: (2, -6)
1/4(2) ≤ 7/3(-6) + 2
1/2 ≤ -14 + 2
1/2 ≤ -12
This is true, so option D is a solution to the inequality.
Therefore, the answer is D: (2, -6).
Indigo went shopping for a new pair of sneakers. Sales tax where she lives is 3.75%. The price of the pair of sneakers is $20. Find the total price including tax. Round to the nearest cent.
Step-by-step explanation:
price=$20tax rate=$3.75multiply the price with rate and you will get tax the add it to the real pricetotal price incl. tax= 20+(20*3.75/100)=20.75there is your answer...The total price of sneakers including tax will be equal to $20.75.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Price of sneakers = $20
Tax on sneakers = 3.75%
Then, the amount of tax will be,
(20 × 3.75)/100
= 75/100
= $0.75
Then, the total price of the sneakers will be,
$20 + $0.75
= $20.75
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Simplify the expression 2³ × 2² A. 4⁵ B. 2⁶ C. 4⁶ D. 2⁵
Answer:
2^5
Step-by-step explanation:
The base is the same
2^3 * 2^2
We are multiplying, so we can add the exponents
2^3 * 2^2 = 2^(3+2) = 2^5
Answer: \(2^{5}\)
Explanation: I have written this problem on the whiteboard.
For the problem on the board, since our two powers have like bases of 2, we can multiply them together by simply adding their exponents.
So 2³ · 2² is just \(2^{5}\).
A common mistake in this problem would
be for students to say that 2³ · 2² is \(4^{5}\).
It's important to understand however that when applying your
exponent rules, your base in this case 2 will not change.
some helps plssss i need help
Answer:
Yess
Step-by-step explanation:
If you multiply all the numbers together you get 39690000. And the square root of that number is 6300. So it is a perfect square. If you did 6300² = 39690000.
We started with five gallons of an orange drink that was 90% water and 10% syrup. We added 1 gallon of concentrate and ended up with a resulting mixture that was 86% water and 14% syrup. Determine what percent of the concentrate was water and what percent was syrup.
Answer:
The gallon of concentrate was 66% water and 34% syrup.
Step-by-step explanation:
- The first thing is to know how much water and how much syrup have the 5 gallons.
90% water and 10% syrup.
- If we have 5 gallons with the same percentages then:
Where X is the percentage that we do not know.
(90 + 90 + 90+ 90 + 90 + X) / 6 = 86
(90 + 90 + 90+ 90 + 90 + X) = 516
X = 66
The answer is 66% water in the gallon added.
If the farmer has 648 feet of fencing, what are the dimensions of the region which enclose the maximal area?
Answer:
Length = 162 feet and Width = 108 feet.
Step-by-step explanation:
The area of a 2D form is the amount of space within its perimeter. The area of this region will cover is 26,244 feet².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
A four-sided figure covers the maximum area when the length of its four sides is equal. Therefore, the length and the width of the region will be equal. Thus, we can write the length of the fence as,
4x = 648 feet
x = 648/4 feet
x = 162 feet
Now, the area this region will cover is,
Area = 162 feet x 162 feet
= 26,244 feet²
Hence, the area of this region will cover is 26,244 feet².
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Solve for x. 7.5x/11=4.8/5
The value of the variable is 1. 40
How to determine the valuewe need to know that algebraic expressions are described as expressions that are made up of term, variables, constants, factors and coefficients.
these algebraic expressions are also made up of arithmetic operations.
These arithmetic operations are listed as;
BracketDivisionAdditionSubtractionMultiplicationParenthesesFrom the information given, we have that;
7.5x/11=4.8/5
cross multiply the values, we get;
7.5x(5) = 4.8(11)
multiply the values
37. 5x = 52. 8
Divide both sides by the coefficient of x, we get;
x = 1. 40
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Swornima is an unmarried nurse in a
hospital. Her monthly basic salary is Rs
48,000. She has to pay 1% social
security tax on her income up to Rs
5,00,000 and 10% income tax on Rs
5,00,001 to Rs 7,00.000. She gets 1
months' salary as the Dashain
allowance. She deposits 10% of her
basic salary in Citizen Investment Trust
(CIT) and gets 10% rebate on her
income tax. Answer the following
questions. (i) What is her annual
income? How much tax is rebated to
her? (iii) How much annual income tax
should she pay?
To calculate Swornima's annual income and the amount of tax she should pay, let's break down the information provided:
Monthly basic salary: Rs 48,000
Social security tax rate: 1%
Income tax rate on income up to Rs 5,00,000: 0% (no tax)
Income tax rate on income from Rs 5,00,001 to Rs 7,00,000: 10%
Dashain allowance: 1 month's salary
Deposit in Citizen Investment Trust (CIT): 10%
Rebate on income tax: 10%
(i) Annual Income:
Swornima's monthly basic salary is Rs 48,000, so her annual basic salary would be:
Annual Basic Salary = Monthly Basic Salary x 12
= Rs 48,000 x 12
= Rs 5,76,000
Additionally, she receives 1 month's salary as the Dashain allowance, which we can add to her annual income:
Annual Income = Annual Basic Salary + Dashain Allowance
= Rs 5,76,000 + Rs 48,000
= Rs 6,24,000
Swornima's annual income is Rs 6,24,000.
(ii) Tax Rebate:
Swornima receives a 10% rebate on her income tax. To calculate the rebate, we need to determine her income tax first.
(iii) Annual Income Tax:
First, let's calculate the income tax for the range of income from Rs 5,00,001 to Rs 7,00,000. The tax rate for this range is 10%.
Taxable Income in this range = Rs 6,24,000 - Rs 5,00,000
= Rs 1,24,000
Income Tax in this range = Taxable Income x Tax Rate
= Rs 1,24,000 x 0.1
= Rs 12,400
Now, let's calculate the total annual income tax:
Total Annual Income Tax = Income Tax in the range Rs 5,00,001 to Rs 7,00,000
= Rs 12,400
Next, we calculate the rebate on income tax:
Tax Rebate = Total Annual Income Tax x Rebate Rate
= Rs 12,400 x 0.1
= Rs 1,240
Swornima's annual income tax is Rs 12,400, and she receives a tax rebate of Rs 1,240.
To summarize:
(i) Swornima's annual income is Rs 6,24,000.
(ii) Swornima's tax rebate is Rs 1,240.
(iii) Swornima should pay an annual income tax of R
749/d * d/749 = 1
d=?
Answer:
D=1
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1
Answer:
I honestly don't know but I think its all real numbers but not zero
Step-by-step explanation:
Question 9
The probability that a vehicle will change lanes while making a turn is 55%.
Suppose a random sample of 7 vehicles are observed making turns at a
busy intersection.
Calculate the expected value.
Answer:
3.85 (rounded to 4 cars)
Step-by-step explanation:
Let X be the discrete random variable the number of vehicles changing lanes
X~B(7, 0.55)
The expected value is found by:
E(X) = 7 × 0.55
E(X) = 3.85
I need help with this please:
Answer:
B and C
Step-by-step explanation:
4/7 = 0.57
2/3 > 4/7
is this khan academy?
Answer:
C
Step-by-step explanation:
Because 2/5 equal .4 in decimal. .57 is equal to 4/7 and 2/3 is .666 repeating
Round the number 8899.50241201 to the nearest whole number.
Answer:
8900
Step-by-step explanation:
pls mark brainliest once other person replies
Answer:
8900 bcoz 8899's nearest whole number is 8900
plz mark me brainliest
Determine the validity of the converse and give a counterexample if the converse is not valid.
If it is sunny, then it is 80° Fahrenheit. The converse is valid.
If it is 80° Fahrenheit, then it is sunny. The converse is valid.
If it is not sunny, then it is not 80° Fahrenheit. The converse is invalid; a counterexample is a day that is not 80° Fahrenheit and not sunny.
If it is 80° Fahrenheit, then it is sunny; The converse is invalid; a counterexample is a day that is 80° and cloudy.
Your analysis is correct. Here's a summary:
If it is sunny, then it is 80° Fahrenheit. (Original statement)
Converse: If it is 80° Fahrenheit, then it is sunny. (Valid)
If it is 80° Fahrenheit, then it is sunny. (Original statement)
Converse: If it is sunny, then it is 80° Fahrenheit. (Valid)
If it is not sunny, then it is not 80° Fahrenheit. (Original statement)
Converse: If it is not 80° Fahrenheit, then it is not sunny. (Invalid)
Counterexample: A day that is not 80° Fahrenheit and not sunny (e.g., 70° and cloudy).
If it is 80° Fahrenheit, then it is sunny. (Original statement)
Converse: If it is sunny, then it is 80° Fahrenheit. (Invalid)
Counterexample: A day that is 80° Fahrenheit and cloudy.
In cases 1 and 2, the original statements and their converses are valid because the relationship between "sunny" and "80° Fahrenheit" holds in both directions. However, in cases 3 and 4, the converses are invalid because there are counterexamples where the second part of the statement (either "not 80° Fahrenheit" or "cloudy") does not necessarily imply the first part ("not sunny" or "80° Fahrenheit").
two planes travel a constant speed. plane A travels 2.800 miles in 5 hours plane B travels 3.885 miles in 7 hours. which plane is faster?
How are triangleABC and triangle ADE related? How do you know pls explain.
Triangle ABC and ADE are similar triangles
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths.
This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.
It has been shown that angles in ABC and ADE are equal.
To show that the ratio of corresponding sides are equal
6/12 = 8/16 = 10/20
The ratios all give a value of 1/2
Therefore we can say that the triangles ABC and ADE are similar.
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Simplify:
x2 +5x-14
x2+10x+21
Answer:
4x + 15x + 7
Step-by-step explanation:
x2 + x2 = 4x
5x + 10x = 15x
-14 + 21 = 7
If the two spinners below are spun, what is the probability that the numbers will add to less than six?
Answer:
3/4 or 75%
Step-by-step explanation:
There are twelve possible outcomes. (4 green for each of the three orange).
The only combinations that add up to six or more are 2&4, 3&3 and 3&4.
That’s 3 out of 12. So 9 out of 12 combinations will add up to less than 6.
9/12=3/4 or 75%
Answer:
3/4
Step-by-step explanation:
what is the volume of the cone if the volume of the cylinder is 51L.
Answer:
17L
Step-by-step explanation:
Volume of cone = 1/3(Volume of cylinder )
= 1/3 * 51L
= 17L
Find the measure of the missing angle
Answer: a=
Answer:
31(given degree) + a(unknown degree) = 90 degrees(right angle shown is equal to 90 degrees)
31 + a = 90
-31 -31
A = 59 degrees.
Miss Rose went shopping with 120 she spent 78. What percentage of her money did she spend
Miss Rose spent 65 percentage of her money.
Define percentagePercentage is a way of expressing a fraction or a proportion as a fraction of 100. It is a number or ratio expressed as a fraction of 100, denoted by the symbol "%".
To find the percentage of Miss Rose's money that she spent, we can use the formula:
percentage = (part/whole) x 100
where "part" is the amount she spent, and "whole" is the initial amount of money she had.
In this case, Miss Rose had 120 and spent 78, so the percentage of her money that she spent is:
percentage = (78/120) x 100 = 65
Therefore, Miss Rose spent 65% of her money.
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(i) Write the zeroes of the polynomial by using above graph.
(ii)Form a quadratic polynomial for above graph.
(iii)If a,1/a are the zeroes of polynomial 2x² -x +8k, then find the value of k.
please answer
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There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.
(i) Zeroes of the polynomial:
In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:
From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.
We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:
We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.
The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a
Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,
we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0
Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))
Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.
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Brainliest be good peeps Calculate the missing term in each and for 2 its not 6/7 it cant be okay? thanks tho if you try and get that.
proportion.
2/11= /55
36/42= /
9/ = 21/28
6/9= /15
Answer:
The missing term is 10
Step-by-step explanation:
2/11=x/55
cross multiply
2*55=11x
x=10
I hope this helps :)
To pay for a home improvement project that totals $20,000, a homeowner is choosing between two different credit card loans with an interest rate of 9%. The first credit card compounds interest quarterly, while the second credit card compounds monthly. The homeowner plans to pay off the loan in 10 years.
Part A: Determine the total value of the loan with the quarterly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part B: Determine the total value of the loan with the monthly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part C: What is the difference between the total interest accrued on each loan? Explain your answer in complete sentences. (2 points)
Please only responded if you know how to do it, will give the brainiest to however answers it correctly
The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.
Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:
A = P(1 + r/n)^(nt),
where:
A is the total value of the loan,
P is the principal amount (initial loan amount),
r is the interest rate (in decimal form),
n is the number of times interest is compounded per year,
and t is the number of years.
Given:
P = $20,000,
r = 9% or 0.09,
n = 4 (quarterly compounding),
t = 10 years.
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/4)^(4*10).
Calculating this value, we find:
A ≈ $45,288.38.
Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.
Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:
n = 12 (monthly compounding).
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/12)^(12*10).
Calculating this value, we find:
A ≈ $45,634.84.
Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.
Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.
For the loan with quarterly compounding:
Total interest = Total value - Principal
Total interest = $45,288.38 - $20,000
Total interest ≈ $25,288.38.
For the loan with monthly compounding:
Total interest = Total value - Principal
Total interest = $45,634.84 - $20,000
Total interest ≈ $25,634.84.
The difference between the total interest accrued on each loan is approximately $346.46.
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como resolver:
"los ceros son 0, -1, 1, 3/2, P(-3) = 300"
The polynomial with the given zeros is:;
P(x) = (300/108)*x*(x + 1)*(x - 1)*(x - 3/2)
How to find the polynomial?Remember that if a polynomial has the zeros a, b, c, and d, then we can write it as:
P(x) = K*(x - a)*(x - b)*(x - c)*(x - d)
Where K is a coefficient.
Here the zeros are 0, -1, 1, 3/2
Then we can write:
P(x) =K*(x - 0)*(x + 1)*(x - 1)*(x - 3/2)
P(x) =K*x*(x + 1)*(x - 1)*(x - 3/2)
We also know that when x = -3, P(x) = 300
Then we can write:
300 = K*(-3)*(-3 + 1)*(-3 - 1)*(-3 - 3/2)
300 = K*(-3)*(-2)*(-4)*(-9/2)
300 = K*108
300/108 = K
Then the polynomial is:
P(x) = (300/108)*x*(x + 1)*(x - 1)*(x - 3/2)
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19 tenths plus 11 tenths
Answer:
3
Step-by-step explanation:
19 tenths=1.9
11 tenths=1.1
So 19 tenths+11 tenths=1.9+1.1=3
Find the value of x, for which : (81) -4 ÷ (729) 2-x = 9 /4x
Answer:
\(\huge{x = \frac{236164}{9477} = 24 \frac{8716}{9477}} \)
Step-by-step explanation:
\((81) - 4 \div (729)2 - x = \frac{9}{4} x\)
\(81 - \frac{4}{729} \times 2 - x = \frac{9}{4} x\)
\(81 - \frac{8}{729} - x = \frac{9}{4} x\)
\( \frac{59041}{729} - x = \frac{9}{4} x\)
\(236164 - 2916x = 6561x\)
\( - 2916x - 6561x = - 236164\)
\( - 9477x = - 236164\)
\(\boxed{\green{x = \frac{236164}{9477} = 24 \frac{8716}{9477}}} \)
what is 1/4 x 1/4 x 1/4 do the answer in fraction form
3 (1/4)s
(1/4)³1/4³1/64"Seven less than
twice a number
İS 5
Answer:
x=6
Step-by-step explanation:
2x-7=5
2x=12
x=6
Answer:
In explanation.
Step-by-step explanation:
Let "a number" be represented by n.
"twice a number" →2n.
"twice a number and k" →2n+k.
"7 less than twice a number and k" →(2h+k)−7.
Complete form.
2x-7=5
2x=12
x=12/2
x=6
Simplified form.
2x-7=5
2x=12
x=6
Hope this helps.
Which rational number is positive?
A) -1/+2
B) +2/-5
C) -2/+5
D) -3/-2
E) -3/+2
Answer:
\( \frac{ - 3}{ - 2} is \: \: a \: \: positive \: \: rational \: \: numnber\)
Step-by-step explanation:
\( \frac{ - 3}{ - 2} = \frac{3}{2} \)
\( (\frac{negative}{negative} = positive)\)
Answer:
D. -3/-2
Step-by-step explanation:
Which of the x-values are solutions to both of the following inequalities? 60 > X and x > 57. Also, Please hurry I will give brainliest to whoever answers 1st.
Answer:
B
Step-by-step explanation:
x must be a number between 60 and 57 and those numbers are 58 or 59
60 is greater than 59, and 59 is greater than 57
Answer:
x = 59
Step-by-step explanation:
The number must be less than 60 from the first inequality and greater than 57 from the second inequality
so the integers allowed are 58,59