A system of linear equations to describe this situation is given by:
A + O = 11.
0.80A + 0.95O = 9.95.
Harry bought six (6) apples and five (5) oranges from this store.
How to write a system of linear equations?In order to write a system of linear equations to describe this situation, we would assign variables to the amount of apples and oranges respectively, and then translate the word problem into algebraic equation as follows:
Let the variable A represent the amount of orange Harry bought.Let the variable O represent the amount of apple Harry bought.Since Harry bought a total of 11 pieces of fruit, we have:
A + O = 11 .....equation 1.
Since the cost of apples is $0.80 each and oranges cost $0.95 each, we have:
0.80A + 0.95O = 9.95 .....equation 2.
Part B.From equation 1, we have:
O = 11 - A .....equation 3.
Substituting equation 3 into equation 2, we have:
0.80A + 0.95O = 9.95
0.80A + 0.95(11 - O) = 9.95
Apples, A = 0.90/0.15
Apples, A = 6.
For the number of oranges, we have:
Oranges, O = 11 - A
Oranges, O = 11 - 6
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Complete Question:
At a store, apples cost $0.80 each and oranges cost $0.95 each. Harry buys some apples and oranges and spends $9.55 . He buys a total of 11 pieces of fruit.
Part a. Write a system of linear equations to describe this situation.
Part b. How many of each fruit did Harry buy?
PLEASE PLEASE HURRY What is −12÷2/3? Responses −36 negative 36 −24 negative 24 −18 negative 18 −8 negative 8
Answer: -18
Step-by-step explanation:
im not 100% sure but good luck :)
Answer: -12/2/3=-2
Step-by-step explanation:
How far up the wall does the ladder reach (round your answer to the nearest tenth) enter only the numerical answer no label
Answer: 8.7m
Step-by-step explanation:
We can use the Pythagorean theorem to solve this,
[tex]a^2+b^2 = c^2[/tex]
We have a (5m) and c (10m) so we're looking for b.
We can rearrange the equation to find b into,
[tex]b^2 = c^2-a^2[/tex]
[tex]b^2=10^2-5^2[/tex]
[tex]b^2 = 100-25[/tex]
[tex]b^2=75[/tex]
[tex]b=8.66025404[/tex]
Rounded to the nearest tenth is 8.7m.
See picture-multiple choice.
From the given graph the correct statement is option (B) " As x approaches - ∞, f(x) approaches - ∞ and x approaches + ∞, f(x) approaches - ∞
From the given graph
The x axis represents the values of x, and the y axis represents the value of y
From the graph,
When the value of x moves from 0 to - ∞, then the value of f(x) is moves from 0 to - ∞
Similarly, when the value of x moves from 0 to ∞, the the value of f(x) is increased to positive values and then decreased to - ∞.
Hence, from the given graph the correct statement is option (B) " As x approaches - ∞, f(x) approaches - ∞ and x approaches + ∞, f(x) approaches - ∞
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b) On the grid draw the graph of x+y=6 for values of c between -2 and 3
I need help please and thank you.
The inequality that relates [tex]LN[/tex] and [tex]OQ[/tex] is [tex]LN>OQ[/tex].
Question 10
Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A
pollster contacts 93 people in the 18-21 age bracket and finds that 79 of them respond and 14 refuse to
respond. When 251 people in the 22-29 age bracket are contacted, 219 respond and 32 refuse to respond.
Assume that 1 of the 344 people is randomly selected. Find the probability of getting someone in the 18-21
age bracket or someone who responds.
Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.
P(18-21 or responds) =
(Hint: It might be helpful to organize the data into a table first.)
Submit Question
%
The probability of getting someone in the 18-21 age bracket or someone who responds is 28.7%.
The total number of people in the 18-21 age bracket is 93. The number of people in this bracket who responded is 79. The number of people in this bracket who refuse to respond is 14. The total number of people in the 22-29 age bracket is 251. The number of people in this bracket who responded is 219. The number of people in this bracket who refuse to respond is 32.
A person is randomly selected from all the people surveyed. We need to find out the probability of getting someone in the 18-21 age bracket or someone who responds. Let the variables E1 and E2 represent the events.
E1 is the event of getting a person from the 18-21 age bracket.
E2 is the event of getting a person who responds.
P(E1∪E2) = P(E1) + P(E2) - P(E1∩E2)
P(E1∪E2) = (93/344) + [(79 + 219)/344] - (79/93)
P(E1∪E2) = 0.27035 + 0.86628 - 0.84946
P(E1∪E2) = 0.28717
Hence, the probability of getting someone in the 18-21 age bracket or someone who responds is 28.7%.
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A shelf and bracket are shown below. The shelf is
perpendicular to the wall.
Note: The figures is not drawn to scale
What angle (x), in degrees, does the bracket make with the wall?
60 degrees is he angles which are made by bracket with the wall
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The shelf is perpendicular to the wall.
The shelf makes an angle of 90 degree to the wall because when the shelf is perpendicular then the wall and shelf should be ninety degrees.
From the shelf edge to wall there creates an angle x.
We need to find the angle x.
As it forms a right angle triangle one angle is 90 degrees and the other angles should be 60 degrees and 60 degrees.
Hence 60 degrees is the angles which are made by bracket with the wall
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Define the formula for a parabola (a quadratic function) that has horizontal intercepts (roots) at x=9.9 and x = 8.7 and passes through the point ( 0, 8.5 )
Answer:
ft HD st he do it to we if do ks do just bc
Carter shared his post with 10 friends, who each share with only 2 people each day. Carter shared his post with 10 friends, who each share with only 2 people each day.
write an exponential function to represent the spread of carters social media post.
The exponential function will be equal to y = 20ˣ.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Carter shared his post with 10 friends, who each share with only 2 people each day.
The exponential function will be written as,
y = abˣ
y = 10(2)ˣ
y = 20ˣ
Therefore, the exponential function will be equal to y = 20ˣ.
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Answer:
f(x) = 10(2)^x
Step-by-step explanation:
Rule for solving: The first number is the first part of the equation, and the second number is in parenthesis.
Cheng is thinking a of a number
what number is Cheng thinking of ?
cheng thinking ;
I multiply my number by 100,hen divide by 10,then multiply by 1000.
My answer is 170'000
Is Cheng's answer is correct or incorrect
The number is 17
Let the number = x
From the question, we have
(x*100)/10*1000 = 170000
x = 17
Multiplication:
Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.
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Find three even numbers less than 400, each of which can be expressed as a sum of consecutive positive odd numbers in at least six different ways.
Answer:
394, 396 and 398
Step-by-step explanation:
which represents a rotation of 189
degrees?
(X,y) -> (-X,-y)
(X,y) -> (X,-y)
(X,y) -> (y,X)
(X,4) -> (-X,4)
The required rotation of the 180° is given by, (X,y) -> (-X,-y), option A is correct and the required translation is given by (x + 6, y - 2), option D is correct.
Given that,
To determine which option shows the rotation of 180°, and translation of right 6 units and down 2 units.
Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
Here,
For the rotation of the 180°, the given coordinate undergoes the change in direction so the required coordinate after 180° rotation is given as (-x, -y).
Now, for the translation of 6 units right we must add x with 6 and for 2 units down we must subtract y by 2, the required translation is given as(x + 6, y -2).
Thus, the required rotation of the 180° is given by, (X,y) -> (-X,-y), and the required translation is given by (x + 6, y - 2).
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let f(x) = x-1 graph g(x)=f(3/4x)
The graph of the function g(x) after putting the value in function f(x) is attached with the answer.
What is function?
A relation b/w a collection of inputs and outputs is known as a function. A function is a relationship between inputs in which each input is connected to precisely one output.
Given function: f(x) = x-1
we have to find: g(x)=f(3/4x)
Putting the value of f(x) in g(x),
g(x) = 3/4x - 1
Now, the graph of the function (3/4)x - 1 is attached in the question.
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The temperature gauge in your car records the temperature to be 27°C. What is that temperature to the nearest degree Fahrenheit?
===============================================
Work Shown:
F = (9/5)*C + 32
F = (9/5)*27 + 32
F = 80.6
F = 81
Side note: 9/5 = 1.8
Answer:
81 degrees Fahrenheit.
Step-by-step explanation:
Using the standard Fahrenheit-Celsius conversion formula.
27 * 9/5 = 48.6.
48.6 + 32 = 80.6.
Rounded to 81.
Therefore 81 degrees Fahrenheit.
find the values of x, y, and z.
To find x, you would do 180-36-63, which would be 81.
Then you would do 180-81 to find z, which is 99.
To find y, would do do 180-99-13, which is 68.
Answer:
x=81
y=68
Z=99
Step-by-step explanation:
to find x we have to remember the rule that all 3 angles sum up to be 180 in a triangle
So we use this to find x
180-(63+36)=x
180-99=x
81=x
Now to find z since it is on a flat plane you just subtract 81 from 180 to find z
180-81=z
99=z
Now to find y we add all the angles of the second triangle and then subtract that sum by 180
180-(13+99)=y
180-112=y
68=y
Hopes this helps please mark brainliest
will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest
Answer:should be 40 because WxL=area soooo try 40
Step-by-step explanation:
Answer:
Area = width x height
Area = 4cm x 10cm
Area = 40 cm²
Apply the distributive property to the following expression: 2n (5m -1)
I need HELP!! ASAP!!
By using the distributive property, we will rewrite the expression as:
2n*(5m -1) = 10*n*m - 2n
How to apply the distributive property?
The distributive property of the multiplication says that the product:
A*(B + C)
Can be rewritten as:
A*(B + C) = A*B + A*C
So we are "distributing" the product.
In this case, we have the expression:
2n*(5m - 1)
If we apply the distributive property, then we will get:
2n*(5m - 1) = (2n)*(5m) + (2n)*(-1)
Now we can simplify this expression to get:
(2n)*(5m) + (2n)*(-1) = 10*n*m - 2n
That is what we wanted to get.
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hi thank you for seeing this
Each pair of angles should be matched with the correct property (theorem) as follows:
e. Vertical Angles: Angles 7 and 6.
a. Alternate Exterior Angles: Angles 1 and 8.
g. Alternate Interior Angles: Angles 4 and 5.
h. Corresponding Angles: Angles 2 and 6.
d. Supplementary Angles: Angles 6 and 8.
What are parallel lines?Parallel lines simply refers to two (2) lines that always have the same or equal distance apart and never meet.
What is the alternate exterior angle theorem?The alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed are congruent or angles of equal measure and magnitude such as Angles 1 and 8.
What is the alternate interior angles theorem?The alternate interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent such as Angles 4 and 5.
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I earn $285/week. There are 4 pays in most months. So, my monthly pay is $285 x 4 or $1140 per month.
Is my calculation of my monthly income accurate? Please explain.
Answer: Yes
Step-by-step explanation: Most month have 4 weeks so your right.
Hi can someone please help me? Thank you so much have a good day/night! ;)
Answer:
136 cm
Step-by-step explanation:
area of rectangle-- width x length--- 112
area of triangle-- base x height divided by 2--- 24
please mark brainiest
U= {2, 3, 4, 5, 7}
C= {2, 4}
D= {2, 7}
(a) (C n D)’=
(b) C’ U D=
The value of (CnD)'= {3,5} and the valueof C' U D = { 2,3,5,7}
What is complement of a set?The complement of a set is the set that includes all the elements of the universal set that are not present in the given set. Let's say A is a set of all coins which is a subset of a universal set that contains all coins and notes, so the complement of set A is a set of notes (which do not includes coins).
if U = { 2,3,4,5,7}
C= { 2,4}
D= { 2,7}
therefore (CnD)= { 2,4,7}
the complement of set (CnD) that is, (CnD)' = {3,5}
complement of set C (C')= { 3,5,7}
Therefore the union of C' and D(C' U D) = { 2,3,5,7}
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I don't know what I'm doing! HELP!!!
Booker's father amount of commission earned is 668.31 dollars.
Sophia needs to make sells of 16744 dollars in order to earn at least 1800 dollars in commission.
How to find how much commission Booker's father will earn?Booker's father sells computer software and earns a 4.25% commission on every software package he sells.
The amount of commission he will earn after selling a software package of $15, 725 can be calculated as follows:
amount of commission earned = 4.25% of 15725
amount of commission earned = 4.25 / 100 × 15725
amount of commission earned = 66831.25 / 100
Therefore,
amount of commission earned = 668.3125
amount of commission earned = 668.31 dollars
Sophia needs to earn at least 1800 dollars each month to cover her living expenses.
The minimum she needs to sell in order to earn at least 1800 dollars if she earns 10.75% commission can be calculated as follows:
let
x = amount she needs to sell
Therefore,
10.75% of x ≥ 1800
10.75 / 100 x ≥ 1800
multiply both sides by 100
10.75x ≥ 180000
divide both sides by 10.75
x ≥ 16744.1860465
x ≥ 16744
Therefore, she needs to sell 16744 dollars worth of goods.
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What is 1 2/3 of 32 in fractions?
Answer:
53 1/3
Step-by-step explanation:
[tex]1\frac{2}{3} =\frac{3+2}{3} =\frac{5}{3}[/tex]
[tex](32)(\frac{5}{3} )=\frac{(32)(5)}{3} =\frac{160}{3}[/tex]
[tex]\frac{160}{3} =53 +\frac{1}{3} =53\frac{1}{3}[/tex]
Hope this helps
The value of the expression is [tex]\frac{160}{3}[/tex].
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
[tex]1\frac{2}{3}[/tex] of 32
= [tex]\frac{5}{3}[/tex] x 32
[ 5 x 32 = 160 ]
= [tex]\frac{160}{3}[/tex]
Thus,
The value of the expression is [tex]\frac{160}{3}[/tex].
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The figure is cut into 12 equal pieces. Shade 2/3 of the figure.
Answer:
Step-by-step explanation:
OK:
I won't be able to draw this but if I can I will
1. Find 2/3 of the 12 pieces
2/3*12=
24/3=
8
2. Answer: Shade 8 out of 12 pieces
In QRS, RS QR and m/Q = 46°. Find m/S.
In triangle QRS, ∠S=67⁰ if ∠R =∠S and ∠Q=46⁰
What is meant by an angle?An angle is a figure in Euclidean geometry made up of two rays that share a vertex, or common endpoint, and are referred to as the sides of the angle. Two planes intersecting at an angle also produces an angle.
A measure of an angle or of a rotation is also referred to as an angle. The ratio of a circular arc's length to radius is known as this quantity. When it comes to a geometric angle, the arc's vertex serves as its center and its sides as its boundaries. When there is a rotation, the arc is defined by the rotation's image and any other point other than the rotation's center.
In triangle QRS,
And from the figure,
∠R=∠S
Therefore,
∠R+∠S+∠Q=180⁰
2∠S+46⁰=180⁰
2∠S=134⁰
∠S=67⁰
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or Each morning, Sleepwell Hotel offers its guests a free continental breakfast with pastries and orange juice. Last year, the hotel served a total of 490 gallons of orange juice to its guests. This year, the hotel served 931 gallons of orange juice. What is the percent of increase in the amount of orange juice served yearly?
Answer:
90% increase
Step-by-step explanation:
490-931=-441
931-490=441
931/490=1.9
therefore, 190% of 441=931
Answer:90% increase
Helppp!
Triangle FJE and GKH are similar right triangles. Which statements about the slopes of FE and GH is true?
What is answer? Tell me pls :)
Answer:
when y=20
x=unknown number
x-y=16
x=16+y
x=16+20
x=36
Step-by-step explanation:
Which of the following is an example of the identity property of 1?
1.11(0)=0
0+2 4/5=2 4/5
11/15(1)=11/15
3-2=1
Answer:
i think third answer is write
4.8 is what percent of 12
Answer:
40%
Step-by-step explanation:
4.8 * 100 = 480
480 / 12 = 40
= 40%
I hope this helps.