Answer:
B. 23/5 simplified to 4 3/5
Answer:
B. 23/5
Step-by-step explanation:
4 (whole number) ×5 (denominator) =20
20 + 3 (numerator) = 23
Ans = 23/5
what does 2(3x+5) simplify to?
Answer:
6x+10
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
6x + 10
Step-by-step explanation:
2(3x + 5)
Distribute the 2.
When distributing, multiply the outside term(s) by the inside term(s).
2 * 3x = 6x
2 * 5 = 10
Combine them to get
6x + 10.
3. Birr 6,500 was divided equally among a certain number of persons. Had there been 15 more persons, each would have got Birr 30 less. Find the original number of persons.
If the population grows by 15 people. The original number of people was 50, hence the new share of each person was Rs. (which is refused).
What is meant by Mathematical equation?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."
Let no. of persons = x
Each person get
= 6500/x
If there 15 persons were added more
= 6500/(x + 15)
(6500/x) - 6500/(x + 15) = 30
[tex]\Rightarrow 6500\left[\frac{(\mathrm{x}+15)-(\mathrm{x})}{\mathrm{x}(\mathrm{x}+15)}\right]=30[/tex]
[tex]\Rightarrow 6500\left[\frac{x+15-x}{x^2+15 x}\right]=30[/tex]
[tex]& \Rightarrow 1625\left[\frac{15}{x^2+15 x}\right]=3 \\[/tex]
Then,
[tex]& \Rightarrow \frac{24375}{x^2+15 x}=3 \\[/tex]
Simplifying the above equation,
[tex]& \Rightarrow 3 x^2+45 x=24375 \\[/tex]
[tex]& \Rightarrow 3 x^2+45 x-24375=0 \\[/tex]
[tex]& \Rightarrow x^2+15 n-3250=0 \\[/tex]
[tex]& \Rightarrow x^2+(65 n-50 n)-3250=0 \\[/tex]
Then we get,
[tex]& \Rightarrow x^2+65 n-50 n-3250=0 \\[/tex]
[tex]& \Rightarrow x+65)-50(x+65)=0[/tex]
[tex]\Rightarrow(\mathrm{x}-50)(\mathrm{x}+64)=0[/tex]
x = 50, x = -65
Since the number of people cannot be zero,
the number of people is 50.
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In a market survey, 100 traders sell fruits. 40 sell apples, 46 oranges, 50 mangoes, 14 apples and oranges, 15 apples and mangoes and 10 sell all three fruits each of the 100 traders sell at least one of the three fruits. (A) how many traders sell only one fruit. (B) how many traders sell only two fruits.
a) The number of traders who sell only one fruit is given as follows: 88.
b) The number of traders who sell only two fruits is given as follows: 9.
How to obtain the amounts?The amounts are obtained using Venn sets in the context of this problem.
The sets are given as follows:
Set A: sells apples.Set B: sells oranges.Set C: sells mangoes.10 sell all three fruits, hence:
A ∩ B ∩ C = 10.
15 vendors sell apples and mangoes, hence:
(A ∩ C) + (A ∩ B ∩ C) = 15
(A ∩ C) = 5.
14 vendors sell apples and oranges, hence:
(A ∩ B) + (A ∩ B ∩ C) = 14
(A ∩ B) = 4.
Hence the number who sell two of them is of:
(A ∩ B) + (A ∩ C) = 4 + 5 = 9.
50 vendors sell mangoes, hence:
C + (A ∩ C) + (A ∩ B ∩ C) = 50
C = 35.
46 vendors sell oranges, hence:
B + (A ∩ B) + (A ∩ B ∩ C) = 46
B = 32.
40 vendors sell apples, hence:
A + (A ∩ B) + (A ∩ C) + (A ∩ B ∩ C) = 40.
A + 9 + 10 = 40
A = 21.
Hence the number of vendors who sell only one fruit is given as follows:
A + B + C = 21 + 32 + 35 = 88.
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Find the 7th term of the geometric sequence whose common ratio is 3/2 and whose first term is 5
The 7th term of the geometric sequence is 3675/64.
A geometric sequence is a sequence of numbers where each term is found by multiplying the previous term by a constant called the common ratio.
The 7th term of a geometric sequence can be found using the formula:
a_n = a_1 * (r)^(n-1) where a_1 is the first term of the sequence, r is the common ratio, and n is the position of the term in the sequence.
Given that the common ratio is 3/2 and the first term is 5, we can substitute these values into the formula:
a_7 = 5 * (3/2)^(7-1)
After solving the expression we get:
a_7 = 5 * (3/2)^6 = 5* (243/64) = 15*243/64 = 3675/64
So the 7th term of the geometric sequence is 3675/64.
Therefore, the 7th term of the geometric sequence is 3675/64.
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Kourtney and Kayla are sisters who are taking the same classes this semester: MAT 003, CHM 131/3131A, and ACA 122. If kourtney earns a pee a P in MAT 003, a B in CHM 131A, and an A in ACA, then what will her GPA be?
A. 3. 5
B. 3. 2
C. 2. 58
D. 3. 8
the GPA for the current semester will be 3.5.
What is GPA?
A metric used to assess your performance throughout the course of your complete degree program is your grade point average.
The average grade point average (GPA) is a figure that represents your typical performance in classes over the course of a semester, term, or year. In line with how much you raise your overall grade point average over your time at the university, your typical GPA score will fluctuate (or, in some cases, how much you fall behind).
A pass grade is a P, an A is a grade of excellent performance worth 4 points per credit, and a B is a grade of good performance worth 3 points per credit. The grade averages do not take P grade into account.
MAT 003, CHM 131a, and ACA 122 each have three, one, and two credits. Thus, the final score is 3 + 1 + 1 = 5. P in MAT 003, B in CHM 131a, and A in ACA 122 are the grades she receives.
GPA can be calculated by
GPA = ( 3 × 1 + 4 × 1)/ 5
GPA = ( 3 + 4)/ 5
GPA = 3.5
Hence the GPA for the current semester will be 3.5.
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Mr. Nunez brought 2 1/2 cake to chool for her cla. If there are 15 people in the cla ,including Mr. Nine, how much of the cake will each peron receive
Each person present in Mrs. Nunez's class is going to receive 1/6th part of the cake when they get it cut.
Mr. Nunez brought 2 ½ cakes for 15 people which means, 2 ½ cakes will be equally divided into 15 pieces and distributed to each person. Since 2 ½ is a mixed fraction we have to convert it into a regular fraction which will be equal to 5/2. So, the amount of cake a person will receive is equal to (5/2)/15 which is 1/6, which is roughly 0.167 part of the whole cake.
The given problem has been solved by using the properties of fractions.
The complete question that you might be looking for is-
Mrs. Nunez brought 2 1/2 cake to school for her class. If there are 15 people in the class, including Mr. Nine, how much of the cake will each person receive?
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If radii of two concentric circle are 28 cm and 18 cm respectively if the perimeter and the area of the circle are numerically equal then find the radius of the circle
1. The area of two concentric circles with radii 28 cm and 18 cm is 460π cm^2.
2. If the perimeter and the area of the circle are numerically equal then find the radius of the circle is 2 units.
What are concentric circles?
Concentric circles are those that share a common centre but have differing radii. It is described as two or more circles with the same centre, in other words.
The radii of two concentric circles are 28 cm and 18 cm.
The bigger circle has a radius of r1=28 cm and the smaller circle has the radius of r2=18 cm.
Area of two concentric circles is -
A = π[(r1)^2-(r2)^2]
A = π[(28)^2-(18)^2]
A = π[(28+18)(28-18)]
A = π[46 × 10]
A = 460π cm^2
Therefore, the area of concentric circle is 460π cm^2.
The formula for perimeter of the circle is 2πr, and the formula for the area of the circle is πr^2, where r is the radius of the circle.
Now, according to the data given the perimeter and area of the two circles are equal.
So, the equation will be 2πr = πr^2.
2πr = πr^2
2π = πr
r = 2 units
Therefore, the radius is 2 units.
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1. If radii of two concentric circle are 28 cm and 18 cm respectively. Find the area of the concentric circles.
2. If the perimeter and the area of the circle are numerically equal then find the radius of the circle.
For what value of k is 4x 2 8xy k * y 2 9 The equation of a pair of straight lines?
The value 'k' for which '4x^2 + 8xy + ky^2 = 9' is the second degree equation of a pair of straight lines is 4.
Therefore the answer is 4.
A general second-degree equation of a pair of straight lines is given by:
ax² + 2hxy + by² + 2gx + 2fy + c = 0
Where a, b, c, d, e, and f are constants, x and y are variables.
For the equation to represent a pair of straight lines, the following conditions must be met :
abc + 2fgh - af² - bg² - ch² = 0
In the equation 4x^2 + 8xy + ky^2 = 9, a = 4, h = 4, b = k, g = f = 0 and c = -9.
That is 4×k×(-9) + 2×0×0×4 - 4×0² - k×0² + 9×4² = 0
4×k×9 = 9×4²
k = 4
--The question is incomplete, complete question is given below--
"For what value of k is 4x^2 + 8xy + ky^2 = 9 the equation of a pair of straight lines?"
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Consider the system of equations.
x = 8 - 2y
x + 3y = 12
What value of x satisfies the system of equations?
ΟΑ.4
ОВ. 0
OC. 16
OD. 5
Answer:
B
Step-by-step explanation:
The answer is 0, trust me
Multiply = 4/7 x 5 1/4
please help me
Answer:
3
Step-by-step explanation:
[tex]\displaystyle \frac{4}{7}*5\frac{1}{4}=\frac{4}{7}*\frac{21}{4}=\frac{21}{7}=3[/tex]
If triangle NPZ ~ triangle HBZ find the measure of angle B.
Please show the steps
The measure of angle B is 107°.
What do similar triangles mean?
If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.
Given a triangle, NPZ is similar to triangle HBZ.
Which can also be written as ΔNPZ ≈ ΔHBZ
So, by equating the corresponding angles that are angle P = angle B:
8x-37°=180-(2x-5+42)°
10x=180
x=18°
So, H=36-5=31°
Since the sum of all angles in a triangle is 180°, angle B can be calculated as
B= 180°-(42+31)°
B=107°
Therefore the measure of angle B is 107 degrees
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The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let
x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget of
$500 and wanteho purchase as many DVDs as possible, which values of x and y could represent the number of new
release and classie movies bought?
O x= 8, y = 45
O x= 10, y = 22
O x = 16. Y = 22
Ox= 18, y=18
Mark this and return
Save and Exit
Next
Submit
The Correct answer is option (C) x = 16. Y = 22 . number of new-release movies on DVD is 16 and the number of classic movies on DVD is 22 .
What is linear equation?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.
Given,
To find the values of X and Y,
Let x = number of new releases
Let y = number of classics.
The equation to solve the question is ,
20x + 8y = 500
When x= 16 and y = 22
= 20x + 8y
= 20(16) + 8(22)
= 320 + 176
= 496
Therefore, the number of new-release movies on DVD is 16 and the number of classic movies on DVD is x= 16, y = 22
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Fifteen percent of the cars in a parking lot are green. If there are 45 green cars, how many cars are there in the parking lot?
Which transformations can be used to map a triangle with vertices A(2, 2), B(4, 1), C(4, 5) to A’(–2, –2), B’(–1, –4), C’(–5, –4)?
Please help!!!!! Look at picture, question 3. Links and silly answers will be reported. I’ll mark brainliest to whoever explains how they got their answer.Please please help!!
Answer:
72
Step-by-step explanation:
Ratio:2:3=2x:3x
2x+3x=180
5x=180
x=36
m ABD=36x2=72
Find the reciprocal form of 12/24
Answer:
24/12 = 2/1 = 2
Step-by-step explanation:
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Reciprocal :-[tex] \frac{12}{24 } \\ = \frac{24}{12} [/tex]
Reciprocal in simplified form :-[tex] \frac{24}{12} \\ = \frac{2}{1} \\ = 2[/tex]
____________________
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Marcus bought a rug for a hallway. The rug measures 0.5 meter by 2.5 meters. Which is the area of the rug?
Answer:
1.25 meters
HOPE THIS HELPS
-Todo ❤️
Step-by-step explanation:
.5*2.5=1.25
b.94 inches?
2. At a hardware store, a tool set normally costs $80. During a sale this week, the toc
set costs $12 less than usual. What percentage of the usual price is the savings?
Explain or show your reasoning.
Answer:
12%
Step-by-step explanation:
IS this statement true. When two conjugates are multiplied, the product is a
difference of two squares
Therefore the product of two conjugates is a difference of two squares.
What are conjugates?When two binomials have the same terms but different arithmetic operators in the center of these related words, they are said to be conjugate. For instance, the conjugate of p + q is p - q.
Define binomial numbers.An integer known as a binomial number is produced by evaluating a homogeneous polynomial with two terms, also known as a binomial.
This statement is true.
The conjugates of a complex number are two complex numbers that differ only in their signs. They are of the form a + bi and a - bi.
When two conjugates are multiplied, the product is (a + bi)(a - bi) = a^2 + (bi)^2 = a^2 - b^2 + (2abi) = (a^2 - b^2) + (2ab)i.
which is in the form (a^2 - b^2) + (2ab)i = (a^2 - b^2) + (2ab)i = (a+b)(a-b)
So the product of two conjugates is a difference of two squares.
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Blake uses 2 gallons of gas to drive 34.6 miles in his car. Find the rate of change.
Answer:
17.3 miles / gallon
Step-by-step explanation:
RatesRates can be represented in different forms, such as speed (meters per second) or water flow rate (liters per minute or second)
SolutionGiven information from the question,
2 gallons = 34.6 miles
1 gallon = 34.6 ÷ 2 = 17.3 miles / gallon
The third pistachio Farm Top Choice Ponce intends to set up shop next weekend at the farmers market in order to immediately win over all the customers who shopped there talk to a sponge promises are pistachios will cause 20% less when the next cheapest Farm it will cost talk to his Farms $125 to rent a booth at the farmers market in Top Choice Farm sell out of their food 3520 ounces of pistachios at their promise low low price how much profit will they make after paying for Farmers Market booth ?
If it cost them $125 to rent a booth at the farmers market, then their profit will be $2816 - $125 = $2691.
Top Choice Ponce farm wants to set up a booth at a farmers market next weekend, they promise to sell their pistachios at 20% cheaper than the next cheapest farm. They plan to sell 3520 ounces of pistachios at $0.8 per ounce.
The booth rent cost them $125. To calculate the profit, they will subtract the booth cost from the total revenue of pistachios which is $2816. Therefore, their profit will be $2691. They will make this profit after paying for the Farmers Market booth.
If Top Choice Farm's pistachios are 20% cheaper than the next cheapest farm, and the next cheapest farm's pistachios cost $1 per ounce, then Top Choice Farm's pistachios will cost $1 - $1 × 20% = $0.80 per ounce.
If they sell 3520 ounces of pistachios at $0.80 per ounce, then their total revenue from pistachios will be 3520 × 0.8 = $2816
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(-1,1) ,(-1,4) and (1,4) are the vertices of which traingle
Answer:
(-1, 1), (-1, 4), and (1, 4) are the vertices of a right triangle.
Step-by-step explanation:
If you were to graph these three points on a coordinate plane, you'll notice that two of the sides form a right angle together, which means this triangle will be a right triangle. If you're looking for something more specific, it would be a right scalene triangle, where all sides are different in a right triangle.
The length of a rectangle is 2.72 feet and the width is 3.81 feet. Find the area
Answer:
area of rectangle = length× width
2.72×3.8110.3632feet²hope it helps.What is the length of bc in the right triangle below
Answer:
C 82
Step-by-step explanation:
18^(2)+80^(2)=c^(2)
solve the inequality. -7x < 35
[tex]-7x < 35[/tex]
Divide both sides by -7:
[tex]\dfrac{-7x}{-7} < \dfrac{35}{-7}[/tex]
Since we are dividing by a negative number, the sign will reverse.
[tex]\fbox{x} > \fbox{-5}[/tex]
The solution to the given inequality is x > -5 which represents a set of all real numbers x that are greater than -5.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The inequality is given in the question, as follows:
-7x < 35
To solve the inequality -7x < 35, we first need to isolate the variable (x) on one side of the inequality.
We will divide both sides of the inequality by -7 (since -7 is being multiplied by x on the left side).
However, when we divide or multiply both sides of an inequality by a negative number, we must reverse the inequality symbol. So the inequality becomes:
x > -5
This inequality can be read as "x is greater than -5." It is the solution set of all real numbers x that is greater than -5.
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what is 5 divided by 1/4
WILL GIVE BRAINLIEST,THANKS,FIVE STARS BUT ONLY IF YOU SHOW HOW YOU GOT ANSWER PLS PLS HELP <33
Ruby buys a jacket. She saves $48 with a 30% off coupon.
a) What was the original price of the jacket?
b) How much did Ruby pay for her jacket?
Show or explain your work.
Answer: see below...
Step-by-step explanation:
a)
48 = 30%
100/30 = 10/3
48 x (10/3) = 160
$160 = 100%
b)
160 - 48 = $112
PLEASE HELP!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
11 73/78 ≈ 11.9359 (not 14)
Step-by-step explanation:
The similarity statement tells us ...
QS/QR = FG/FH
QS = QR·FG/FH
13x -14 = 154(55/60) = 847/6
Adding 14 = 84/6, we have ...
13x = 931/6
x = 931/78 = 11 73/78 . . . . . . . divide by 13
__
Comment on the question
You get a nice integer answer for x if the similarity statement is written ...
∆FGH ~ ∆QRS . . . . . . . note the letters are in alphabetical order
Then you have ...
QS/QR = FH/FG
13x -14 = 154(60/55) = 168
13x = 182
x = 14
This nice answer to a nice similarity statement leads us to believe the question has an error in it.
We suspect you are expected to provide x=14 as the answer, even though that is NOT the answer to the question as written. You may want to discuss this with your teacher.
5. In the diagram below, AB is tangent to circle C at point D and AC is perpendicular to BC. If mA = 28 then which of the
following is the measure of DCB
(1) 14
(2) 28
(3) 56
(4) 62
The steepness of a ramp is graphed using the points (0,3) and (36,0). The steepness of a second ramp is represented by the function g(x)= -1/4x+2. What is the slope of the ramp?
The slope of a line is a measure of its steepness and can be calculated using the formula:
slope = (y2 - y1) / (x2 - x1)
In this case, the points (0,3) and (36,0) represent the coordinates of two points on the ramp. To find the slope of the ramp, we can plug these values into the formula:
slope = (0 - 3) / (36 - 0) = -3 / 36 = -1/12
The slope of the ramp is -1/12. This indicates that the ramp is relatively flat, as a negative slope means that the line is sloping downward.
To find the slope of the second ramp, represented by the function g(x) = -1/4x + 2, we can take the derivative of the function. The derivative of a function represents the slope of the function at any given point, and it is calculated using the formula:
derivative = f(x) = -1/4
The derivative of the function g(x) is a constant value of -1/4, which means that the slope of the second ramp is also -1/4. This is a steeper slope than the first ramp, as the value of the derivative is larger in magnitude.