Answer:
2.a. The price of 2.75 kg of pears is $4.62
2.b. The price of 0.19 kg of Pears is $ 0.3192
Step-by-step explanation:
The given parameters are;
The price of each kilogram of Pears = $1.68
Therefore, we have;
The price of a given mass of Pears = The mass in Kg of the Pears × The price per kg of Pears
2.a. The price of 2.75 kg of pears = The mass × The price per Kg = $1.68/kg × 2.75 kg = $4.62
The price of 2.75 kg of pears = $4.62
2.b. The price of 0.19 kg of Pears = The mass × The price per Kg = $1.68/kg × 0.19 kg = $ 0.3192
On an extremely cold day, the temperature may be
-10°. If the temperature rises 8 degrees, how will you
find the new temperature? Type your thoughts into
the text box below.
Answer:
Ok, so to find this difference, you have to add 8 to the -10, which becomes -2. The answer is -2°.
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words.
This system of equations has been placed in a matrix:
y = 650x + 175
y= 25,080 - 120x
Column 1
Column 2
Column 3
Row 1
-1
Row 2
120
This system of equations has been placed in a matrix:
y = 650x + 175
y = 25,080 - 120x
The option is ( 32.34, 21,196)
A system of equations, also called a set of simultaneous equations or a system of equations in mathematics, is a finite set of equations for which we have found a general solution. Systems of equations can be classified in the same way as individual equations. Systems of equations are applied in our daily life in modeling problems where unknown quantities can be expressed as variables.
Solving a system of equations means finding the values of the variables used in the system. Calculates the value of an unknown variable while balancing both equations. The main reason for solving a system of equations is to find the values of the variables that satisfy the conditions of all given equations. This system of equations can have different types of solutions.
1. unique solution
2. no solution
3. infinite set of solutions
Now,
We can solve the given system by making the equations equal because
y = y .
The equations are y = 650x + 175 and y= 25,080 - 120x, which forms
650x + 175 = 25,080 - 120x
⇒ 650x +120x = 25080- 175
⇒ 770x = 24905
⇒ x = 24905 / 770
⇒ x = 32.344
≈ 32.34
Using this value, we find the other one.
y = 650x + 175
⇒ y = 650 × 32.34 + 175
⇒ y = 21021 + 175
⇒ y = 21196
Therefore, the solution of the system is (32.34 , 21,196).
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A banik foatures a savings account that has an annual percentage rate of r=4.9%6 with interest: compounded weoklyc Arun depesits 510,500 into the account. The account balance can be modeled by the exponential formula S(t)=P(1+ r/n )^nt , where S is the future value, P is the present value, r is the annual percentage rate, n is the number of times each year that the interest is compounded, and t is the time in years. (A) What values shoutd be used for P,r, and n ? (B) How much money will Arun have in the account in 9 years? Answer =5 Pound answer to the nearest penny.
Arun will have $802,064.14 in the account after 9 years at compound interest.
The account balance can be modeled by the exponential formula
S(t)=P(1+ r/n )^nt
where S is the future value,
P is the present value,
r is the annual percentage rate,
n is the number of times each year that the interest is compounded, and
t is the time in years
(A) The annual percentage rate (r) of the savings account is 4.96%, which is equal to 0.0496 in decimal form. n is the number of times each year that the interest is compounded. The interest is compounded weekly, which means that n = 52. The amount of Arun's initial deposit into the account is $510,500, which is the present value P of the account. Based on the information provided, the values to be used in the exponential formula are:
P = $510,500
r = 0.0496
n = 52
(B) S(t) = P(1 + r/n)^(nt)
S(t) = $510,500(1 + 0.0496/52)^(52 x 9)
S(t) = $802,064.14
Arun will have $802,064.14 in the account after 9 years.
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Which is a correct comparison of sandwich prices based on the histograms?
O The interval from $11 to $12 contains the most shops for both college locations.
O More shops charge between $12 and $13 near Main Line University than City College.
O The median price lies between $10 to $11 for both City College and Main Line University.
O Fewer shops sell sandwiches for under $10 near City College than near Main Line University.
Answer:
b
Step-by-step explanation:
A correct comparison of sandwich prices based on the histograms is,
More shops charge between $12 and $13 near Main Line University than City College.
What is price?A price is the quantity of payment or compensation given by one party to another in return for goods or services. In some situations, the price of production has a different name. If the product is a "good" in the commercial exchange, the payment for this product will likely be called its "price".
Here, we have,
from the given conditions, the correct answer is, More shops charge between $12 and $13 near Main Line University than City College.
Hence, A correct comparison of sandwich prices based on the histograms is, More shops charge between $12 and $13 near Main Line University than City College.
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In AOPQ, OQ is extended through point Q to point R, m PQR = (4x -- 10),
mZOPQ = (x +9)", and mZQOP = (x - 5)°. Find mZPQR.
Answer:
114
Step-by-step explanation:
X + 9 + 4x - 10 + x - 5 = 180
6x - 6 = 180
6x = 186
X = 31
4(31) - 10 = 114
does anyone know what the. distance would be ?? plz answer asap only if you are correct:)
Answer:
6 units :)
Step-by-step explanation:
Consider a sample with data values of 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and $2. Compute the mean, median, and mode.
If required, round your answers to two decimal places.
Mean = ________
Median = _________
Mode = _________
The mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)
Given data values are 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and 2. We need to calculate the mean, median, and mode of this sample.So, let's first arrange the data values in ascending order:2, 50, 52, 53, 55, 56, 57, 61, 69, 70, 73
Mean:The mean is the sum of all the data values divided by the total number of data values. So, we can use the following formula to calculate the mean:
Mean = (sum of all the data values) / (total number of data values)Sum of all the data values = 55 + 56 + 70 + 61 + 53 + 57 + 50 + 73 + 52 + 69 + 2 = 598Total number of data values = 11
Therefore,Mean = (sum of all the data values) / (total number of data values) = 598 / 11 = 54.36 (rounded to two decimal places)Therefore, the mean of the given data values is 54.36.
Median:The median is the middle value of a sorted data set. Since the data set has 11 data values, the median is the average of the 6th and 7th values (counting from smallest to largest).
Therefore, the median is :Median = (55 + 56) / 2 = 55.5Therefore, the median of the given data values is 55.5.
Mode:The mode is the data value that appears most frequently in the data set. In this case, there is no data value that appears more than once. So, there is no mode.
Therefore, the mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)
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does anybody know where i can watch baruto DUB all episode for free no downloads not 9 anime, not Hulu,!!!!!
Answer:
Im pretty sure there isnt a way to be able to watch it for free, but good luck!
Step-by-step explanation:
Answer:
i cant give you the link, but it's on for free at animelabs.
Step-by-step explanation:
How is this math?
Given the equation 2
Square root of x minus 5 = 2, solve for x and identify if it is an extraneous solution. (2 points)
Group of answer choices
x = 9, solution is not extraneous
x = 11, solution is extraneous
x = 9, solution is extraneous
x = 11, solution is not extraneous
Answer:
its none
Step-by-step explanation:
one side of a rectangle is 2 inches longer than the other side. find the lengths of both sides if the area of the rectangle is 15 square inches
The dimensions of the rectangle are 3 inches by 5 inches.
Let x be the length of one side of the rectangle. Then the other side is 2 inches longer, so its length is x + 2. The area of the rectangle is given by A = L × W, where L is the length and W is the width.
We are told that the area of the rectangle is 15 square inches, so we can set up the equation:
x(x + 2) = 15
Expanding the left side, we get:
x^2 + 2x = 15
Subtracting 15 from both sides, we get:
x^2 + 2x - 15 = 0
We can factor the left side of the equation to get:
(x + 5)(x - 3) = 0
Therefore, either x + 5 = 0 or x - 3 = 0. Solving for x in each case, we get:
x = -5 or x = 3
Since the length of a side cannot be negative, we must reject the solution x = -5. Therefore, the length of one side of the rectangle is x = 3 inches. The other side is 2 inches longer, so its length is x + 2 = 5 inches. Therefore, the dimensions of the rectangle are 3 inches by 5 inches.
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Answer:
Longer side: 5 in.
Shorter side: 3 in.
Step-by-step explanation:
You can start by looking at the integer values. To do that, we can find the factors of 15.
The factors are:
1, 3, 5, and 15
Is there a pair so that one number is 2 more than the other?
Yes. The pair 3, 5 are 2 numbers away from each other, and they multiply to get 15.
Hope this helps.
How much principal would you have to deposit to earn $700 simple interest in 2 years at a rate of 2%?
Answer:
P = $673.077
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Simple Interest Rate Formula: A = P(1 + rt)
A is final amountP is principle amountr is ratet is time (in years)Step-by-step explanation:
Step 1: Define
A = 700
r = 2% = 0.02
t = 2
Step 2: Solve for P
Substitute [SIRF]: 700 = P[1 + 0.02(2)][Brackets] Multiply: 700 = P[1 + 0.04][Brackets] Add: 700 = P[1.04]Isolate P: 673.077 = PRewrite: P = 673.077Answer:
$673.077
Step-by-step explanation:
Find the area.
These kinds of problems make no sense at all.
Answer:
The area should be 7.
Step-by-step explanation:
Hear me out;
The formula for a parallelogram is A=bh.
The height is 1, so substituting it into the A=bh formula gives you A=7*1, which is 7.
A scale model of a bicycle
has a scale of 1:30. The
reau bicyde has a length
of 1.5m. What is the length
of the model in cm.
Answer:
5cm
Step-by-step explanation:
Convert 1.5m into cm to make it easier to solve.
1.5m --> 150cm (*100)
The real bike length is 30 times larger than the scale. So to undo this we need to divide by 30.
150cm / 30 = 5cm
What is the slope of the line shown?
On a coordinate plane, a line goes through (0, 8) and (2, 2).
slope = −13
slope = 8
slope = 3
slope = -3
The Slope from the given points is 3
The slope of a line:A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are perpendicular, parallel, or none at all.
The slope of a line, m = [y₂ - y₁]/ [x₂ - x₁]Here we have
On a coordinate plane, a line goes through (0, 8) and (2, 2).
As we know Slope of a parallel line is (y₂-y₁)/(x₂-x₁)
Take (x₁, y₁) = (0, 8) and (x₂, y₂) = (2, 2)
Slope of line = [ 2 - 8]/[0 - 2 ] = [ - 6]/[ - 2 ] = 3
Therefore,
The Slope from the given points is 3.
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Is 4.2, 5.6, 7 a right triangle?
I will mark the CORRECT answer Brainiest.
Answer:
Yes
Step-by-step explanation:
Step 1) Remember: Pythagoras' Theorem states that when A^2+B^2 is equal to C^2 then it is a Right Triangle. So you plug in the values: (4.2)^2+(5.6)^2=(7)^2
Step 2) Solve the Exponents: 17.64 + 31.36 = 49
Step 3) Solve via addition: 49 = 49 - since the left side is equal to the right, therefore, this Triangle is a Right Triangle.
find the value of y squared when y is -9
Answer:
81
Step-by-step explanation:
-9^2, or -9 times -9 equals 81, the negatives cancel each other out
Your answer would be 81.
The calculation the question is asking us to do is y², but substitute in y for -9. This gives us (-9)². We know that 9² = 81, but (-9)² also equals 81 because when you multiply 2 negative numbers together, the negative sign cancels out.
I hope this helps!
what is the average rate of change for the line graphed in the figure above
Answer:
5/8
Step-by-step explanation:
I used the slope formula of y2-y1/x2-x1
Can i get help on 1=1/4(2x+8)
Trig work that i don’t understand. pls help
Answer:
B. 642.22 units squared
Step-by-step explanation:
Knowing that QP ║ MN and ∠QLP = ∠MLN, then ΔQLP ~ ΔMLN.
That means corresponding sides and heights have the same ratios.
We know that QP = 25, which corresponds to MN = 34. Also, the height of ΔQLP, LS, corresponds to the height of ΔMLN, LR = LS + SR = LS + 10. Let's say LS = x.
We can now write:
QP / MN = LS / LR
25 / 34 = x / (x + 10)
Cross-multiply:
34 * x = 25 * (x + 10)
34x = 25x + 250
34x - 25x = 250
9x = 250
x = 250/9 ≈ 27.78 units
So, LS = 27.78 units and LR = LS + SR = 27.78 + 10 = 37.78 units.
The area of a triangle is denoted by A = (1/2) * b * h, where b is the base and h is the height.
Here, the base of ΔLMN is MN = 34, and the height is LR = 37.78. Plug these in:
A = (1/2) * b * h
A = (1/2) * 34 * 37.78 ≈ 642.22 units squared
The answer is thus B.
~ an aesthetics lover
Robert can type 360 words in 3 minutes. Jocelyn can type 525 words in 5 minutes.
Who is typing at a faster rate? Explain your reasoning.
Step-by-step explanation:
Robert: 360/ 6 = 62 words per minute
Jocelyn: 525/ 5= 58 words per minute
Jocelyn types faster. I haven't done 5th grade math in so long... lol if wrong please correct me..
El triplo de la suma de dos números es 63, y el número mayor es 6 veces el menor. Entonces, el número mayor es?
x: número más grande
y: número menor
3 (x + y) = 63
x = 6 años
Sustituimos la x = 6y de la segunda ecuación en la primera
3 (6 años + años) = 63
7 años = 63/3
3 años = 21
y = 21/7
y = 3
Este es el número más pequeño y = 7, por lo que el número más grande es x = 6y = 6 * 3 = 18
El número más grande es 18
HELP ASAP! WILL MARK BRAINEST IF YOU ANSWER!
Which property of addition is shown?
-
(4+5) + 6 = 4 + (5+6)
--------------------------------
A. Associative Property
B. Commutative Property
C. Distributive Property
D. Identity Property
Answer: B
Step-by-step explanation:
i used math
What is the equation of this circle?
Circle A is centered at the origin. Each of the four right triangles inside the circle have a hypotenuse of 8 units.
The requreid equation of the circle is x² + y² = 16.
Since each right triangle inside the circle has a hypotenuse of 8, then the radius of the circle is also 8.
The equation of a circle with center (h, k) and radius r is given by:
(x - h)² + (y - k)² = r²
In this case, the center of the circle is (0, 0) and the radius is 8, so the equation of the circle is:
x² + y² = 16
Thus, the requreid equation of the circle is x² + y² = 16.
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5x + 25
25
10
X + 5
Solve for x
Answer:
can you send a pic of the assignment
Step-by-step explanation:
(i will edit answer)
(a^5 ⋅2^3) 3=? khan academy
Answer:
Assuming that the expression is meant to be written as:
(a^5 ⋅ 2^3)^3
We can simplify it using the rules of exponents. First, we can simplify the expression inside the parentheses:
a^5 ⋅ 2^3 = a^5 ⋅ 8 = 8a^5
Now we can substitute this simplified expression into the original expression:
(8a^5)^3
To simplify this, we use the power rule of exponents, which states that when we raise a power to another power, we multiply the exponents:
(8a^5)^3 = 8^3 ⋅ (a^5)^3 = 512a^15
Therefore, the simplified expression is 512a^15.
find the lines slope and a point on the line y+4=-1/2(x-5)
Step-by-step explanation:
y+4 = -1/2(x-5)
y = (-x+5)/2 -4
y= (-x+5-8)/2
y= (-x-3)/2
when x=1
y=(-1-3)/2
y= -2
point on graph = (1,-2)
when x =3
y=(-3-3)/2
y= -3
point = (3,-3)
slope = (-2-(-3))/(1-3)
=1/-2
slope = 1/-2 , a point = (1,-2)
\(y + 4 = -\cfrac{1}{2}(x-5)\implies y-(\stackrel{y_1}{-4})= \stackrel{m}{-\cfrac{1}{2}}(x-\stackrel{x_1}{5}) \impliedby \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill m=-\cfrac{1}{2}\hspace{5em}(5~~,~~-4)~\hfill\)
fill in the blank, somebody help please. will mark brainliest + 20pt
Answer:
c) divide both sides by 8
hope this helps!
Answer:
Its the 3 option
Fill in the following blanks with the appropriate matching words from the "word bank”. Some words may be used more than once.Intersection Union DisjunctionConjunctionWord bank: maybe, mostly, or, for, and, but
Intersection AND
Union AND, MOSTLY
Disjunction OR
Conjunction AND
For these words, we have:
Intersection, when we and the common results between two sets
So, Intersection A ∩ B A and B
A ={1,2,3} B= {3,4,5} A ∩ B ={3}
Disjunction, OR
When some conditions apply either to one set or to another.
A V B = OR
He is American OR He is British
A OR B
Union, AND, Mostly
When we want all the elements that belong to both Sets
So A ∪ B means A and all the elements from A and all the elements from B, no need no repeat the same element.
A = {1,2,3} B= {3,4,5} A ∪ B ={ 1,2,3,4,5}
Conjunction
A ^ B = AND,
In Logic and Set Theory and we have conjunction, we can use the word
He is a New Yorker AND He is American.
Evaluate using suitable identity:
h). 139² - 138²
Step-by-step explanation:
★ Solution :-\(\sf \longmapsto 139^2 - 138^2\)
\(\sf \longmapsto a^2 - b^2 = (a + b)(a - b)\)
Here,
a = 139b = 138\(\sf \longmapsto 139^2 - 138^2 = (139 + 138)(139 - 138)\)
\(\sf \longmapsto (239 + 138)(239 - 138)\)
\(\sf \longmapsto (377)(1)\)
\(\sf \longmapsto 377\)
Hence solved !!
Answer:
277
Step-by-step explanation:
Algebraic Identity: a²-b²=(a-b)(a+b)
Hence,
139²-138²=(139-138)(139+138)
=1×277
=277
If in a city of 1000 households, 100 are watching ABC, 80 are watching CBS, 50 are watching NBC, 70 are watching Fox, 500 are watching everything else, and 200 do not have the TV set on, what is CBS's share
CBS's share of households in the city is 8%.
Out of the 1000 households in the city:
100 are watching ABC
80 are watching CBS
50 are watching NBC
70 are watching Fox
500 are watching everything else
200 do not have the TV set on
To calculate CBS's share, we need to find the percentage of households that are watching CBS out of the total number of households:
CBS's share = (number of households watching CBS / total number of households) x 100%
CBS's share = (80 / 1000) x 100%
CBS's share = 8%
Therefore, CBS's share of households in the city is 8%.
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