Answer:
\(\frac{1}{4}\)
Step-by-step explanation:
\(\frac{\frac{7}{8} - \frac{2}{3}}{\frac{5}{6}}\\\frac{7}{8}=\frac{21}{24}\\\frac{2}{3}=\frac{16}{24}\\\frac{21}{24}-\frac{16}{24}=\frac{5}{24}\\\frac{5}{24}*\frac{6}{5}=\frac{1}{4}\)
60 POINT QUESTION. Middle school math, ordered pairs.
Answer:
(0,2)
(3,0)
Step-by-step explanation:
Help please I need it as soon as possible
Answer:
y=1/2+3
Step-by-step explanation:
For the first one, 0 and 3. 0/2 is not possible so we just add 3.
Second, 1/2 is 0.5 of 1/2. Plus 3 is 3 1/2.
Third, 2/2 = 1 + 3 = 4.
And last, 3/2 = 1.5 or 1 1/2. 1 1/2 + 3 is 4 1/2
--
Hope this helps!
A circle has a diameter of 3 meters. Which statement about the circumference and area is true?
A comparison of the area and circumference is not possible since the area cannot be determined
The numerical value of the circumference and area are equal.
The numerical value of the circumference is greater than the numerical value of the area.
O The numerical value of the circumference is less than the numerical value of the area.
Answer:
The numerical value of the circumference is greater than the numerical value of the area.
Step-by-step explanation:
Diameter = 3 meters
The radius is half of diameter so,
Radius = 3 ÷ 2 = 1.5 meters
Circumference = 2πr (r is the radius)
= 2 x π x 1.5 = 9.42 meters (rounded to 3 significant figures)
Area of a circle = π\(r^{2}\)
= π x \(1.5^{2}\)
= π x 2.25 = 7.06 meters
The true statement is
The numerical value of the circumference is greater than the numerical value of the area.
What is Area and Circumference?The space a circle takes up in a two-dimensional plane is known as the area of the circle.
The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area.
we have,
Diameter = 3 m
Radius= D/2 = 3/2 m
So, Area of Circle
= πr²
= 3.14 x 3/2 x 3/2
= 7.065 m²
and, Circumference of circle
= 2πr
= 2 x 3.14 x 3/2
= 9.42 m
Thus, The numerical value of the circumference is greater than the numerical value of the area.
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Mr. Enko wants to buy pizza for the 7th grade. Each pizza cost $11.50 and it will cost $9.50 to get the pizzas delivered.How many pizzas could he buy if he spent at most $90.00
11.5p + 9.5 ≤ 90
11.5p ≤ 80.5
p ≤ 80.5/11.5
p ≤ 7
he can buy at most 7 pizzas
Answer:
Only 7 pizzas can be ordered
Step-by-step explanation:
subtracting the delivery fund
(90.00-9.50=80.50)
so therefore, 80.50/11.50=7
PLEASE HELP
Which of the following sets does not create a right triangle?
A. 5,9,11
B. 8,15,17
C. 18,24,30
D. 12,16,20
Answer:
B i just took the test
Step-by-step explanation:
It's B lol
Answer:
A) 5,9,11 does not create a right triangle
All of the others do. In order for A to be a right triangle it would have to 5,9,10.3; so A is definitely not a right triangle.
Question 1 of 25
2 Points
What can you say about the end behavior of the function f(x) = - In (2x) + 4 ?
A. Both ends decrease
B. Both ends increase
c. One end decreases and one end approaches a constant
D. One end increases and one end decreases
SHIRT
Answer:
D. One end increases and one end decreases
One end increases and one end decreases in the given function f(x) = - In (2x) + 4. Therefore, the correct option is option D.
What is mathematical function?
In mathematics, a function is a phrase, regulation, or statute that establishes the connection between an independent variable and a dependent variable.
In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837. One end increases and one end decreases in the given function f(x) = - In (2x) + 4.
Therefore, the correct option is option D.
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As pointed out, you lose if the pile has 1, 6, 11 or 16 sticks. How many sticks are needed in the next two piles for you to lose
Answer:
21 and 26 totaling 47sticks
Step-by-step explanation:
Th number of sticks form an arithmetic progression
1, 6, 11, 16...
The nth term of an arithmetic progression is expressed as;
Tn = a+(n-1)d
a is the first term = 1
d is the common difference
d = 6-1 = 11-6 = 5
n is the number of terms
The next two terms are the fifth and sixth term
T5 = 1+(5-1)5
T5 = 1+4(5)
T5 = 1+20
T5 = 21
T6 = 1+(6-1)5
T6 = 1+5(5)
T6 = 1+25
T6 = 26
Hence the number of sticks needed in the next two piles are 21 and 26 totaling 47sticks
Please help me with this on the image
Answer:
Step-by-step explanation:
a). Given expression in the question is,
\(\frac{13822\times 623}{14}\)
Exact value of the expression will be,
\(\frac{13822\times 623}{14}=615079\)
b). By using approximations to 1 significant figure,
13822 ≈ 10000
623 ≈ 600
14 ≈ 10
615079 ≈ 60000
Now use the expression,
\(\frac{13822\times 623}{14}=\frac{10000\times 600}{10}\)
= 60000
Six friends went apple picking.
They picked a total of 49 pounds
of apples that they shared equally.
How many pounds of apples did
each one take home?
which is the equation of a line that has a slope of negative 2/3 and passes through Point -3 and -1
Answer:
y=2/3x+1
Step-by-step explanation:
y=mx+b (-3,-1)
subsitute
-1=2/3(-3)+b
solve
b=1
substitute into the original equation:
y=2/3x+1
Which number is divisible by 2. 9, and 10
045
O 60
090
0 150
Answer:
90!
Step-by-step explanation:
even, ends in zero, and 9 times ten! :)
Bennett Griffin and Chula Garza organized Cole Valley Book Store as a corporation; each contributed $71,500 cash to start the business and received 5,600 shares of common stock. The store completed its first year of operations on December 31, current year. On that date, the following financial items for the year were determined: December 31, current year, cash on hand and in the bank, $69,250; December 31, current year, amounts due from customers from sales of books, $43,500; unused portion of store and office equipment, $72,500; December 31, current year, amounts owed to publishers for books purchased, $12,400; one-year note payable to a local bank for $3,200. No dividends were declared or paid to the stockholders during the year.
Required:
Complete the following balance sheet as of the end of the current year. Some information has been given below.
What was the amount of net income for the year? (Hint: Use the retained earnings equation [Beginning Retained Earnings + Net Income − Dividends = Ending Retained Earnings] to solve for net income.)
he net income for the year is $16,550.
Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)
Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500
Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800
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mike ran 1/2 mile during gym class . how many feet did he run.
How much pure acid is in 780 milliliters of a 12% solution?
Answer:
93.6 ml
Step-by-step explanation:
12% of that 780 ml is pure acid: 0.12(780 ml) = 93.6 ml
The amount of pure acid is 93.6 ml.
What is proportion?Proportion is explained majorly based on ratio and fractions. A fraction, represented in the form of a/b, while ratio a:b, then a proportion states that two ratios are equal. Here, a and b are any two integers. The ratio and proportion are key foundations to understand the various concepts in mathematics as well as in science.
The direct proportion formula says if the quantity y is in direct proportion to quantity x, then we can say y = kx, for a constant k. y = kx is also the general form of the direct proportion equation.
Given:
You have 780 ml of a 12% solution
So,
780 ml represents 100%,
x ml represents 12%.
Using proportion:
780/x= 100/12
780*12/100=x
93.6 ml = x
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What is 8,838 rounded to the nearest ten
Answer:
8840
Step-by-step explanation:
Answer:
8,840
Step-by-step explanation:
Which equation can be solved to find one of the missing side lengths in the triangle?
Answer:
Step-by-step explanation:
length x height
Find x, if √x +2y^2 = 15 and √4x - 4y^2=6
pls help soon
Step 1: Rearrange the equation √x +2y^2 = 15 to get x = (15 - 2y^2)^2.
Step 2: Substitute x = (15 - 2y^2)^2 in the equation √4x - 4y^2=6.
Step 3: Simplify the equation to get 4(15 - 2y^2)^2 - 4y^2 = 6.
Step 4: Solve for y^2 by rearranging the equation to get y^2 = (6 + 4(15 - 2y^2)^2)/8.
Step 5: Substitute y^2 = (6 + 4(15 - 2y^2)^2)/8 in the equation x = (15 - 2y^2)^2.
Step 6: Solve for x by rearranging the equation to get x = (15 - (6 + 4(15 - 2y^2)^2)/4)^2.
Step 7: Substitute y^2 = (6 + 4(15 - 2y^2)^2)/8 in the equation x = (15 - (6 + 4(15 - 2y^2)^2)/4)^2.
Step 8: Simplify the equation to get x = (15 - (6 + 60 - 8y^
find the distance travelled by siya if she takes three rounds of a square park if the perimeter is 70m
solve the following exponential equation. express irrational solutions in exact form and as a decimal rounded to three decimal places. 3^1-4x = 4x
The irrational solution of an exponential function, 3⁽¹⁻⁴ˣ⁾ = 4ˣ in exact form, is equals to the 0.190 in a decimal rounded to three decimal places.
Exponential function:The exponential function is a mathematical function of the form f(x) = aˣ , where "x" is a variable and "a" is a constant called the base of the function, which must be greater than 0. The most commonly used exponential base is the transcendental number e, which is approximately equal to 2.71828.
We have given an exponential equation is
3⁽¹⁻⁴ˣ⁾ = 4ˣ
Require to solve this Exponential equation.
Now, 3⁽¹⁻⁴ˣ⁾= 4ˣ
taking logarithm both sides we get,
ln ( 3⁽¹⁻⁴ˣ⁾ ) = ln(4ˣ)
=> (1-4x) ln(3) = xln(4) [using ln( aˣ)= x ln(a) ]
=> ln (3) - 4x ln (3) = x ln (4)
=> ln (3) = x ln(4) + 4x ln(3)
=> ln (3) = x[ ln (4) + 4 ln (3) ]
=> x = ln (3) / [ ln (4) + 4 ln (3) ]
=> x ~ 0.190
Therefore, solution set is ln (3) / [ ln (4) + 4 ln (3) ].
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There are a total of 39 students in fourth grade at school this year. Today, some of the fourth graders have gone on a field trip to be exact 3/4 of the women went and 2/3 of the men went. This leaves 11 fourth graders at the school. How many women and how many men are in fourth grade at your school this year?
Solving a system of equations we wll see that there are are 24 women, and the other 15 students are men in foruth grade.
How many women and men are in fourth grade?We know that there are 39 students in fourth grade, we know that:
3/4 of the women went
2/3 of the men went
And this leaves 11 students at the school, then we can write the equation:
(3/4)*W + (2/3)*M + 11 = 39
Where W and M are the number of women and men respectively.
(3/4)*W + (2/3)*M = 39 - 11 = 28
(3/4)*W + (2/3)*M = 28
And we also know that the total number is 39, then:
M + W = 39
So we can write the system of equations:
(3/4)*W + (2/3)*M = 28
M + W = 39
M = 39 - W
REplacing that on the other equation we get:
(3/4)*W + (2/3)*(39 - W) = 28
(3/4)*W - (2/3)*w + 26 = 28
(3/4)*W - (2/3)*W = 28 - 26 = 2
(9/12)*W - (8/12)*W = 2
(1/12)*W = 2
W = 2*12 = 24
There are 24 women, and the other 15 students are men.
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By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0
By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.
To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.
Let's start by graphing the constraints:
1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.
2. Plot the line -x + 3y = 6 using a similar process.
3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.
Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.
Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.
Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.
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how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
The interest is 16% compounded semi-annually, is Rs. 121,179.10.
To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.
Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)
So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:
Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.
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Could use help on this thank you in advance!
Answer:
what exactly do i need to do ?????
Step-by-step explanation:
Tonya plans to join a fitness club. She researched the costs to join different clubs in her area and found that there is a linear relationship between the total cost of belonging to a club and the number of months that you are a member. Each club charges monthly dues, and some clubs require new members to also pay a one-time membership fee. The total costs of being a member for 6 months, 12 months, and 24 months at each of three clubs are shown in the table. Total Cost of Fitness Club Membership Length of membership Club 1 Club 2 Club 3 6 months $108 $120 $126 12 months $216 $210 $252 24 months $432 $390 $504 How many of the clubs require new members to pay a one-time membership fee? 0 1 2 3
Answer: The correct answer is 1
Step-by-step explanation:
Answer:
The correct answer is B.) 1
Step-by-step explanation:
Hope this helps :)
John wants to make a triangular garden. Which of the following are possible dimensions?
Answer: What are the choices? sorry I had to take up an answer, it wont let me exit out
Is 7-¹ a negative number? Explain.
Answer:
No
Step-by-step explanation:
\(7^{-1}\) is a fraction
using the rule of exponents
• \(a^{-m}\) = \(\frac{1}{a^{m} }\)
then
\(7^{-1}\) = \(\frac{1}{7^{1} }\) = \(\frac{1}{7}\) ← that is a fraction
Help me out please I need help
What is the value of the expression (3a-8)/(6(8-a)) when a = 4? Remember to use PEMDAS.
Answer:
The value of (3a-8)/(6(8-8)) is equal to 1/6.
Step-by-step explanation:
Plug in 4 for a.
(3(4)-8) / (6(8-4))
(12-8) / (6(4)
4 / 24
Now simplify.
4/24 simplifies to 1/6
Answer:
[See Below]
Step-by-step explanation:
\(Hey~There!\)
____________________________
→ Rewrite the equation given the information:
→ \(a=4\)
\((3*4-8)\) ÷ \((6(8-4))\)\(or\)
\(\frac{(3*4-8)}{(6(8-4))}\)→ Solve using PEMDAS:
→ Parenthesis:
\(3*4-8=\bold4\)\((6(8-4))=\bold2\bold4\)
→ Division:
\(4\) ÷ \(24=\bold0\bold.\bold1\bold6\bold\)\(r\) (Repeating)____________________________
So based on the above work we can conclude that your answer is:
Decimal Form: \(\bold0\bold.\bold1\bold6\bold\)\(r\) (Repeating)Fraction Form: \(\frac{\bold1}{\bold6}\)____________________________
\(Hope~this~helps!\)
\(-Shane, SpamIsTheMan :)\)
HELP ASAP!!!
Find the square of 1-4i.
ANSAWER:
−15+8i
Explanation:
First, you can expand the square of the bynomial:
What is the area of this figure?
15 mm
4 mm
Submit
3 mm
3 mm
5 mm
5 mm
7 mm
8 mm
Write your answer using decimals, if necessary.
square millimeters