Answers
Answer:
1. [tex]\frac{6}{11}[/tex] × [tex]\frac{1}{4}[/tex] = [tex]\frac{3}{22}[/tex]
2. [tex]4\frac{1}{3}[/tex] × [tex]\frac{9}{14}[/tex] = [tex]\frac{13}{3}[/tex] × [tex]\frac{9}{14}[/tex]
= [tex]\frac{39}{14}[/tex]
= [tex]2\frac{11}{14}[/tex]
3. [tex]3\frac{3}{6}[/tex] × [tex]\frac{2}{3}[/tex] = [tex]\frac{21}{6}[/tex] × [tex]\frac{2}{3}[/tex]
= [tex]\frac{7}{3}[/tex]
= [tex]2\frac{1}{3}[/tex]
4. [tex]\frac{6}{15}[/tex] ÷ [tex]\frac{2}{5}[/tex] = [tex]\frac{6}{15}[/tex] × [tex]\frac{5}{2}[/tex]
= 1
5. [tex]1\frac{4}{5}[/tex] ÷ [tex]\frac{3}{25}[/tex] = [tex]\frac{9}{5}[/tex] × [tex]\frac{25}{3}[/tex]
= [tex]\frac{45}{3}[/tex]
= 15
Related Questions
Please help me I will Venmo you I’m confused
Answers
S=66
T=81
R=65
And here is the full work open image only lets me put one so for r its 99 degrees + 16 degrees +r = 180 degrees
Give the guy above me a brainliest!!
in the exponential function g(x)=a(b)^x it is known that g(3)=25 and g(7)=3
Answers
By solving a system of equations we will see that the exponential function is:
g(x) = 122.347*(0.589)^x
How to find the exponential function?We know that our function is of the form:
g(x) = a*(b)^x
We also know that g(3)=25 and g(7)=3, then we can write:
a*(b)^3 = 25
a*(b)^7 = 3
So we have a little system of equations.
Taking the quotient between the second and first equations we get:
(a*(b)^7)/(a*(b)^3) = 3/25
b^4 = 3/25
b = (3/25)^(1/4) = 0.589
Replacing that in the first equation we get:
a*(b)^3 = 25
a*(0.589)^3 = 25
a = 25/(0.589)^3 = 122.347
The exponential function is:
g(x) = 122.347*(0.589)^x
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How many liters each of a 45% acid solution and a 85% acid solution must be used to produce 40 liters of a 80% acid solution? (Round to two decimal places if necessary.)
Answers
You need 5 gallon of the 45% acid solution 35 gallon of the 85% solution to get 40 gallon at 80%.
How to find the number of liters?Let x represent the number of liters
0.45x+0.85(40-x) = 0.8(40)
0.45x+34-0.85x = 32
-0.4x = -2
Divide both sides by -0.4
x = -2/-0.4
x = 5
You need 5 gallon of the 45% acid solution
Gallon of the 85% solution to get 40 gallon at 80% = 40-5 = 35 gallon
Therefore 5 gallon and 35 gallon are needed.
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Malik has a compound interest savings account that she initially deposited $7,550. What is the balance in her account after 2 years if the account paid an annual interest rate of 1.95% and the interest was compounded annually.
Answers
The balance (future value) in Malik's account after 2 years of investing $7,550 at 1.95% compounded annually is $7,847.32.
What is the future value?The future value is the compounded present value of an investment or periodic deposit.
The future value can be determined using the FV formula, FV table, or an online finance calculator as below.
N (# of periods) = 2 years
I/Y (Interest per year) = 1.95%
PV (Present Value) = $7,550
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $7,847.32
Total Interest = $297.32
Thus, Malik's account balance (future value) after 2 years will be $7,847.32.
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Darbi and Su had sushi for lunch Su's Sushi was $2 more than Darbi sushi. Darbi and Su split the cost of the sushi lunch evenly and each paid at 20% tip if the cost of Su's sushi is represented by s, which of the following expressions represents the amount in dollars that each paid?
a)1.2s-1.2
b)1.8s
c)2.4s-2.4
d)0.2s-0.2
Answers
The expression that represents the amount in dollars that each paid is (a) 1.2s - 1.2.
What is the percentage?The percentage is a ratio that can be expressed as a fraction of 100.
Given that, Su's Sushi is $2 more than Darbi sushi and the cost of Su's sushi is represented by s.
Let the price of Darbi's sushi is $x.
Then, the price of Su's sushi is
s = x + 2
x = s -2
The total cost is:
x + s
= s -2 + s
= 2s -2
Since they divided the total cost evenly, the cost each paid is:
(2s-2)/2
= s -1
Now, the cost after paying a 20% tip is:
(s - 1) + 20% of (s - 1)
= s- 1 + 20(s-1)/100
= s-1 + 0.2s - 0.2
= 1.2s - 1.2
Hence, the expression that represents the amount in dollars that each paid is (a) 1.2s - 1.2.
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DUE TOMORROW HELP PLEASE :)
Answers
Answer:
54°
Step-by-step explanation:
These are supplemental angles. Supplemental angles add to 180
180-126 = 54
Which equation demonstrates the distributive property?
A 2 (5+7)=2 (7+5)
B 2 (5+7)=2x5+2x7
C7x (2 × 5) = 7 x (5 × 2)
D(2 x 5) x 7 = 2 × (5 × 7)
Answers
Answer:B
Step-by-step explanation:
A: Commutative property because the numbers in the parentheses change
B: Distributive property because you multiply the numbers out.
C: Commutative property because you change the numbers in the parentheses.
D: Associative property you move the parentheses to different numbers.
Can someone help me I have to verify the trig identities.
Answers
The trigonometric identities are verified that they are true.
What are trigonometric expressions?
Trigonometric identities are, by definition, reciprocal. These formulas show the connections between the sine/cosine functions and tangents.
1. LHS = sec x [ sec x - cos x]+(sin x+ cos x)/sin x- cot x
= sec²x - sec x cos x +(sin x+ cos x)/sin x - cos x/sin x
= sec²x - cos x/cos x +(sin x+ cos x- cos x)/sin x
= sec²x - 1 + sin x /sin x
= sec²x - 1 +1
= sec²x
= RHS
2. LHS = cos (π-Θ)+ sin (π/2 + Θ)
= - cos Θ + cos Θ
= 0
= RHS
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Please answer both questions:
A container holds 5 pounds of peanuts. How many ounces of peanuts are in the container? (1 pound = 16 ounces)
Ronnie had 64 at-bat opportunities to hit the ball this spring season in baseball. He hit the ball 75% of the time. How many times did Ronnie hit the ball?
Answers
Answer:
Ounces of peanuts in the container
= 5 pounds × 16 ounces
= 80 ounces
Number of times Ronnie hit the ball
= 75% × 64 at-bat opportunities
= 48 times
4x + 5 + 3x - x = 7x - 8
Answers
Answer:
x = -1
Step-by-step explanation:
6x +5 = -7x - 8
6x +7x = -8 -5
13x = -13
13/13 x = -13/13
x = -1
What is the range of the equation?
5x + 3y = 30
Answers
Answer:
Range is all real numbers.
Interval notation:
Range is
(-infinity,infinity)
Step-by-step explanation:
The range is all the y's on a graph of a function or all of the y's allowed to be used in an equation or able to be produced by the equation.
5x + 3y = 30
is a line. Except for a horizontal line, the range of any line is all real numbers. Somewhere on that line every single y value exists somewhere. You may put literally ANY value for y into that equation.
The range is all real numbers.
ryan paid $133 for 7 pizzas. how much would he have paid for 88 pizzas
Answers
Answer: 1672
Step-by-step explanation:
133 divided by 7 = 19
19 x 88 = 1672
19*88=$1,672
Select the correct answer.
What is the completely factored form of this polynomial?
x³+3x² - 6x-18
O A. (x-2)(x − 3)(x+3)
O B. (x²-6)(x+3)
O C. (x²+3)(x-6)
O D. (x+6)(x - 1)(x+3)
Answers
(x² - 6 ) ( x + 3 ) is the completely factored form of this polynomial .
What is polynomial in maths?
Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an equation made up of variables, constants, and exponents (No division operation by a variable). Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials. In this video, basic terms such terms, degrees, standard form, monomial, binomial, and trinomial are covered.= x³+3x² - 6x-18
= x² ( x + 3 ) - 6( x + 3 )
= (x² - 6 ) ( x + 3 )
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What is the rate of change (slope) of this graph? Explain how you found the answer.
Answers
The rate of change(slope) of the graph is 7 / 5.
How to find the rate of change(slope)?The rate of change function is defined as the rate at which one quantity is changing with respect to another quantity.
The slope(rate of change) is change in the dependent variable with respect to the change in the independent variable.
The slope is rise over run.
Therefore, let's find the slope of the graph as follows:
slope = y₂ - y₁ / x₂ - x₁
Therefore, using (0, -7) and (5, 0)
slope = 0 - (-7) / 5 - 0
slope = 7 / 5
Therefore, the slope of the graph is 7 / 5.
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Maru makes an initial down payment of \${3000}
$3000
, then repays \${70}
$70
per week.
Calculate how many weeks it takes Maru to fully pay off $43000.
pls help me with this asap
Answers
The number of weeks that it'll take Maru to fully pay off $43000 is 571.4 weeks.
How to calculate the value?From the information, Maru makes an initial down payment of $3000 then repays $70 per week and the total amount is $43000.
Let the number of weeks be represented as w.
This will be illustrated as:
3000 + (70 × w) = 43000
3000 + 70w = 43000
Collect like terms
70w = 43000 - 3000
70w = 40000
Divide
w = 40000 / 70
w = 571.4
The number of weeks is 571.4 weeks
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#p is invested at 10% and#q is invested at 12% . The annual income from these investment is #3800.if these investments are interchanged the annual income will be#3900. find p and q
Answers
Can I get a Brainly pls
Guys! What is w+2/3=5 1/4
Answers
Answer:
Rewrite the equation as w+ 2/5= 3/4
Move all terms not containing w to the right side of the equation.
so if u do that you should get your answer 7/20
Step-by-step explanation:
subtract the sum of 9t*3-3t+8 and t*2-8t+4 from the sum of 12t+8 and t*2 - 10t +3.
Answers
Answer:
[tex]-9t^3+13t-1[/tex]
Step-by-step explanation:
Answer is attached.
write the following as unit rate 1200 words to 40 minutes
Answers
Answer:
30 Units
Step-by-step explanation:
1200 units ÷ 40
40 units ÷ 40
=
30 units
1 unit
=
30 units
unit
= 30 units per unit
Does the quadratic function
f(x) = 4x² + 5x – 29 have one,
two, or no real zeros? Utilize the
quadratic formula to determine
the answer.
[?] real zero(s)
Answers
The given quadratic function has two real zeros.
We are given a function. The function is quadratic in nature. We need to check whether the given quadratic function has one, two, or no real solutions. We will use the quadratic formula to determine the answer. The equation of the quadratic function is given below.
f(x) = 4x² + 5x - 29
The general form of a quadratic equation is ax² + bx + c. The values of the variables a, b, and c for the given equation are 4, 5, and -29, respectively. The quadratic formula is given below.
x = (-b ± √D)/2a
The variable "D" represents the discriminant of the quadratic equation. If the value of D is less than zero, then no real roots exist. If the value of D is equal to zero, then only one real root exists. If the value of D is greater than zero, then two real roots exist. The formula for discriminant is D = b² - 4*a*c. We will calculate the discriminant for the given equation.
D = b² - 4*a*c
D = 5² - 4*(4)*(-29)
D = 25 + 464 = 489
The value of the discriminant is positive, so the function has two real roots.
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x² -2(x-y), for x = 7 and y = 4
Answers
The value of given expression for x = 7 and y = 4 is 43
In this question, we have been given an expression x² -2(x - y)
We need to find the value of given expression for x = 7 and y = 4
x² -2(x - y)
= 7² -2(7 - 4)
= 49 - 2(3)
= 49 - 6
= 43
Therefore, the value of given expression for x = 7 and y = 4 is 43
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Employees wage please help me!
Answers
Answer:
I think it is $10.50 per hour. Hope this helps!!
Decide whether the experiment is a binomial experiment. If it is not, explain why. Surveying 900 prisoners to see how many crimes in which they were convicted. The random variable represents the number of crimes in which each prisoner was convicted.
Answers
The experiment is a binomial experiment as it had two outcomes which are success and failure.
What is a binomial experiment?A binomial experiment is one that has a fixed number of independent trials with only two outcomes. For example, the outcome could be a yes or no response.
A binomial experiment is a statistical test that has the following characteristics: The experiment consists of n trials that are repeated. Each trial has only two possible outcomes. One of these outcomes is referred to as a success, while the other is referred to as a failure. On each trial, the probability of success, denoted by P, is the same.
Tossing a fair coin n times, for example, with success defined as "heads up":
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the graph shows the average number of days of rainfall per month in Rome, Italy.
in which of the following intervals is the relationship between the month and average number of days of rainfall decreasing? Select all that apply.
A. June to August
B. August to October
C. December to February
D. February to April
Answers
In the interval June to August and December to February rainfall decreasing.
What is average number of days?
7 days make up a week, there are roughly 365 days in a year, and there are 24 hours in a day. By adding all of your numbers together and dividing by the total amount of numbers, you can arrive at an average. Thus, 132 is the average amount of time periods when joined together.
From the given graph, in the interval June to August and December to February the average number of days of rainfall are decreasing.
Hence, June to August and December to February rainfall decreasing.
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What is the range of f(x) = 3x + 9?
{y | y < 9}
{y | y > 9}
{y | y > 3}
{y | y < 3}
Answers
The range of this function f(x) = 3x + 9 is: B. {y | y > 9}.
What is a range?In Mathematics, a range can be defined as the set of all real numbers that connects with the elements of a domain.
This ultimately implies that, a range simply refers to the set of all possible output numerical values (real numbers), which are shown on the y-coordinate (y-axis) of a graph.
Based on the given function f(x) = 3x + 9, we can reasonably infer and logically deduce that the range of this function in interval notation is given by:
Range = [10, ∞]
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you are currently scheduled to work monday through friday of next week. I need you to try to assist 9 more customers per day to hit your goal for the week. i currently assist 52 customers per day. so the total of customers i assist per week would be
Answers
The total number of customers you will assist per week would be 366
Let Total number of customer you assist per week be variable "x"
We have to calculate the value of this variable now,
Given ,
you work Monday to Friday,
Total working days = 6
Number of customer you usually assist = 52 customers per day
This week to hit your goal you have to assist more customers
Number of more customer you need assist = 9 customers per day
So, Total customer you'll assist per day to hit goal = 52 + 9
=> 61 customers per day
Customer you will assist per week = customer assist per day × 6
x = 61 × 6
x = 366
Hence , you will assist 366 customers per week.
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Find the volume of the figure. Round to the nearest hundredth, if necessary. (figure is not to scale)
Answers
The volume of the figure is 296 [tex]ft^{3}[/tex].
Volume of a cuboid = Length * breadth * width
Volume of figure = 4*5*2 + 4*5*2 + 4*18*3
= 40 + 40 + 216
= 296
Hence, the volume is 296 [tex]ft^{3}[/tex].
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Suppose $7000 is invested at an annual interest rate of 4% compounded daily for 3 yr. What is the accumulated amount in the account at the end of the 3 yr?
Answers
The accumulated amount in the account after 3 years, if $7000 was invested is $7892.43.
What is compound interest?Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
To calculate the the accumulated amount in the account at the end of the 3 years, we use the formula below.
Formula:
A = P(1+R/n)ⁿˣ................ Equation 1Where:
A = Accumulated amount in the accountP = PrincipalR = Raten = Number of times the interest is compounded per yearx = Number of yearsFrom the question,
Given:
P = $7000R = 4% = 0.04x = 3 yearsn = 365Substitute these values into equation 1
A = 7000(1+0.04/365)³ˣ³⁶⁵A = 7000(1.12749)A = $7892.43Hence, the accumulated amount in the account is $7892.43.
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Josh needs to buy plastic spoons. Brand A has a box of 25 spoons for$1.99 . Brand B has a box of 42 spoons for$3.89 .
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Answers
The units price are:
For brand A: $0.0796For brand B: $0.0926Then brand A is the better option.
How to find the unit price?If you know that a set of N items has a price P, then the unit price is given by the quotient between the price and the number of items that you get, N.
For Brand A, we know that there are 25 spoons for $1.99, then in this case the unit price is:
a = $1.99/25 = $0.0796
For Brand B the set has 42 spoons for $3.89, then the unit price is:
b = $3.89/42 = $0.0926
So we can see that Brand A has a lower unit price, meaning that is a better option.
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Use and algebraic equation to find the measure of each angle that is represented in terms of x
Answers
The measurement of each angle represented in terms of x is 156°
What is the angle measurement?Here given the two angles : (13x-26)° and (9x+30)°.
We have to find each angle measurement.
From the given figure, it is clear that two angles are just vertically opposite angles.
So , we know that vertically angles are equal
So to find angles , we have to find x.
13x - 26 = 9x + 30
13x - 9x = 30 + 26
4x = 56
x = 56 / 4
x = 14
So the value of x = 14
Then we have to substitute the value of x in any of the given measurement.
By substituting x in (13x - 26)°
13 x 14 - 26
182 - 26
= 156
Similarly by substituting x in (9x + 30) °
9 x 14 + 30
= 126 + 30
= 156°
Therefore, the measurement of each angle is 156°.
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