SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Represent the two coins
Let N represents Nickels
Let Q represents quarters
STEP 2: Get the first equation
Equation 1: Eric has 130 coins consisting of quarters and nickels. This is given as:
[tex]N+Q=130------Equation\text{ 1}[/tex]STEP 3: Get the second equation
The total value of all of the coins is $15.90. Each quarter represents .25 and each nickel represents .05, then the second equation is:
[tex]0.25Q+0.05N=15.90------Equation\text{ 2}[/tex]STEP 4: Multiply Equation 2 by 100 to remove the decimals
[tex]\begin{gathered} Equatio\text{ 2}\times100\text{ will give:} \\ 25Q+5N=1590----Equation\text{ 3} \end{gathered}[/tex]STEP 5: Make N the subject of Equation 1
[tex]undefined[/tex]Create an equation that is perpendicular to the line y = -¾ x - 14 and goes through the point (0, 13).
The required equation that is perpendicular to the line y = -¾ x - 14 and goes through the point (0, 13) is 3x + 4y = 52 .
Given equation is y = - 3/4 - 14
this is of the form y = mx + c
on comparing, m= - 3/4
And the points given are x = 0 and y =13
thus as we know that the equation of the line is
y - y₁ = m ( x- x₁ )
On substituting the values mentioned above we see that
y - 13 = - 3/ 4 ( x - 0 )
4 y - 52 = - 3 x
and on rearranging we get :
3x + 4y = 52
Thus the required equation that is perpendicular to the line y = -¾ x - 14 and goes through the point (0, 13) is 3x + 4y = 52 .
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I'm dead, help Khan academy was due yesterday
Answer:
B.
Step-by-step explanation:
34-15 goes into paratheses because it goes first.
Then multiply by 4.
(34 - 15) x 4
Hope this helps!
If you get this right, giving me brainliest would mean a lot! Thanks!
A group of friends wants to go to the amusement park. They have no more than $280 to spend on parking and admission. Parking is $20, and tickets cost $40 per person, the including tax. Write and solve an inequality which can be used to determine x, number of people who can go to the amusement park.
The inequality will be written as 40x + 20 < 280.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Given that a group of friends wants to go to the amusement park. They have no more than $280 to spend on parking and admission. Parking is $20, and tickets cost $40 per person, including tax.
The inequality will be written as:-
40x + 20 < 280.
Here, x is the number of persons.
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I NEED IT FAST!!! HURRY PLEASE Which equality represents y = 3x2 + 2 written in function notation?f(y) = 3x2 + 2f (x) = 3x2 + 2f(3) = x2 + 2f(2) = 3x2
y =3x^2+2
In the function notation we write f(x) instead of y.
So, for this case:
f(x)=3x^2+2
Keilantra is a waitress at a restaurant. Each day she works, Keilantra will make a guaranteed wage of $40, however the additional amount that Keilantra earns from tips depends on the number of tables she waits on that day. From past experience, Keilantra noticed that she will get about $14 in tips for each table she waits on. How much would Keilantra expect to earn in a day on which she waits on 17 tables? How much would Keilantra expect to make in a day when waiting on t tables?
HURRY AND NO BAD ANSWERS!
If Keilantra will make a guaranteed wage of $40 and she will get about $14 in tips for each table she waits on,
Part 1
If Keilantra waits on 17 tables, the she will earn $278
Part 2
If Keilantra waits on t tables, the she will earn 40+14t
The guaranteed wage she earn = $40
The amount she earn for each table she waits as tip = $14
Part 1
The number of table she waits on = 17 tables
Then the amount she earn in a day = The guaranteed wage she earn +The amount she earn for each table she waits as tip × The number of table she waits on
= 40+14×17
= 40+238
= $278
Part 2
The number of table she waits on = t tables
Then the amount she earn in a day = 40+14t
Hence, if Keilantra will make a guaranteed wage of $40 and she will get about $14 in tips for each table she waits on,
Part 1
If Keilantra waits on 17 tables, the she will earn $278
Part 2
If Keilantra waits on t tables, the she will earn 40+14t
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Which relation is also a function?
check the pic!!
PLEASE HELP!
Answer:
B
Step-by-step explanation:
I cannot see option D but regardless, C is a function for the following reasons
A function y = f(x) is a relationship in x such that f(x) has only 1 value for a value of x.
In A, we see that for x = -1 we have y = 2 and y = 4 for a single value of x = -1
That alone is sufficient to dismiss this as a function. If that wasn't bad enough you see that y = -3 and -4 for x = 2
In C we see the same problem
For x = 5 there are two value of y = -3 and -2
So we can disregard C
In B we can see a definite pattern
Between x = -2 and x = 0 we see that y increases by 1 unit for every increase of 1 unit in x. This is a linear relationship with a slope of + 1
Between x = 0 and x = +2, for every increase of 1 unit in the x-value, the y-value decreases by 1 unit. This is also a linear relationship but with a slope of -1
In particular this is what is known as a piecewise function. Its function expression is different for different intervals of x value
It can be expressed as follows
f(x) = x + 2 for -2 ≤ x ≤ 0
= -x + 2 for 0 ≤ x ≤ 2
Identify the graph that shows the feasible region for the following constraints.
X≥0
yzo
4x + 2y ≤ 40
2x + 4y ≤ 32
Answer:
The feasible region is bounded by the corner points:
(0, 0)(0, 8)(8, 4)(10, 0)Step-by-step explanation:
Given constraints:
[tex]\begin{cases}x \geq 0\\y \geq 0\\4x+2y \leq 40\\2x+4y \leq 32\end{cases}[/tex]
Rewrite the third and fourth inequalities to isolate y:
[tex]\begin{aligned}\implies 4x+2y & \leq 40\\2y & \leq -4x+40\\y & \leq -2x+20\end{aligned}[/tex]
[tex]\begin{aligned}\implies 2x+4y & \leq 32\\4y & \leq -2x+32\\y & \leq -\dfrac{1}{2}x+8\end{aligned}[/tex]
When graphing inequalities:
< or > : dashed line.≤ or ≥ : solid line.< or ≤ : shade under the line.> or ≥ : shade above the line.Therefore:
Draw the line x = 0 and shade above it (to the right).Draw the line y = 0 and shade above it.Draw the line y = -2x + 20 and shade below it.Draw the line y = -¹/₂x + 8 and shade below it.The feasible region is the set of all possible values of the variables which satisfy the constraints.
Therefore, the feasible region is bounded by the corner points:
(0, 0)(0, 8)(8, 4)(10, 0)x^2-y=7 and y-5x=-11 The system of equations above has two solutions. The solution in Quadrant 1 is (A,B) and the solution in Quadrant 4 is (C,D) . Find the values of (A,B), (C,D)
By solving the system of equations, and seeing in which quadrant is each solution, we conclude that:
(A, B) = (4, 9)(C, D) = (1, -6).How to solve the system of equations?Here we get the following system of equations:
x^2 - y = 7
y - 5x = -11
If we isolate the same variable in both of the equations, then we can equate them, so I will isolate "y" in both of the equations of the system.
y = x^2 - 7
y = -11 + 5x
Now we can write:
x^2 - 7 = -11 + 5x
So we have the quadratic equation, this can be rewritten as:
x^2 - 7 + 11 - 5x = 0
x^2 - 5x + 4 = 0
Using the Baskhara's formula (or the quadratic formula), we will get the two solutions for x.
[tex]x = \frac{5 \pm \sqrt{(-5)^2 - 4*1*(4)} }{2*1}[/tex]
The solutions are:
[tex]x = \frac{5 \pm \sqrt{(9} }{2} \\\\x = \frac{5 \pm 3}{2}[/tex]
So we get:
x = (5 + 3)/2 = 4
x = (5 - 3)/2 = 1
Evaluating the linear equation in these values of x:
y = -11 + 5*4 = -11 + 20 = 9
y = -11 + 5*1 = -6
So we get the coordinate pairs (4, 9) which is on the first quadrant because both values are positive, and (1, -6) which is on the fourth quadrant because the x-value is positive and the y-value is negative.
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I need help solving the following systems of equations.
a.
y = 5 − x
4x + 2y = 10
b. x = −5y − 4
Please and thank :)
The solution for the system of linear equations y = 5 − x and 4x + 2y = 10 are x = 0 and y = 5
What are linear equations?Linear equations are equations that have constant average rates of change.
How to determine the solution to the system?A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
y = 5 − x
4x + 2y = 10
Substitute y = 5 − x in the equation 4x + 2y = 10
So, we have the following equation
4x + 2(5 - x) = 10
Open the brackets
4x + 10 - 2x = 10
Evaluate the like terms
2x = 0
Divide through by 0
So, we have
x = 0
Substitute x = 0 in y = 5 - x
y = 5 - 0
Evaluate the like terms
y = 5
Hence, the solution of the equations are x = 0 and y = 5
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What is the slope of the linear equation that has the values shown in the table? Show your work.
X
-4
-2
0
2
4
y
15
9
3
-3
-9
Answer: -3
Step-by-step explanation:
The slope can be calculated by the equation
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
So choosing any two points, we can find the slope.
I'll chose (0,3) and (2,-3).
-3 - 3 = -6
2 - 0 = 2
So, the slope is -6/2 which simplifies to -3.
Orlando makes a trail mix for his hiking trip. He uses 1 \frac{5}{6}1 6 5 pounds of cashews, 1.6 pounds of sunflower seeds, 1 \frac{1}{8}1 8 1 pounds of raisins, and 1.625 pounds of pecans. Which answer choice shows these weights in order from least to greatest ? DUE TODAY NEED NOW WILL GIVE BRAINLIEST
The ordering of the weight from the least to greatest will be 1 1/8, 1.6, 1.625 and 1 5/6.
How to illustrate the information?From the information, Orlando uses 1 5/6 pounds of cashews, 1.6 pounds of sunflower seeds, 1 1/8 pounds of raisins, and 1.625 pounds of pecans..
It should be noted that 1 5/6 will be 1.833.
It should be noted that 1 1/8 will be 1.125
Therefore, it van be seen that the least of the pounds of raisins and the greatest is pounds of cashew.
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What is the area of the shaded sector of the circle?
Answer: Where is the picture
Step-by-step explanation:
can you send some math sums under 13
Some of the math sums in which the result is under 13 are (5+2), (6+3), (7+5), etc.
According to the question,
We have the following information:
Math sums under 13
Now, we have to find mathematical expressions involving addition but the condition is that the result should be under 13.
Now, we know that we can have 2 or more than 2 numbers in sums but to make it easy we will have only two numbers.
Now, we will take some first numbers in some math sums to be 5, 6 and 7.
Now, the second digit can be found easily by subtracting the numbers from 13.
So, the digits should be less than the result we get.
13-5 = 8
So, it can be less than 8.
13-6 = 7
So, it can be less than 7.
In this way, we can take any digit less than these numbers.
Hence, some of the math sums in which the result is under 13 are (5+2), (6+3), (7+5), etc.
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Find the equation of the line that isperpendicular to the line y = 5x + 6 and pass through the point (-3,3). Write the equation in point slope form.
The equation of line perpendicular to the given line is 5x - y = - 18 OR y = 5x + 18
Given: The line y = 5x + 6 and it passes through the point ( -3, 3)
And we know the general equation of line is y = mx+c
On comparing the above mentioned two equations we get;
m = 5 that is slope is 5.
Also to find a equation of line perpendicular to the given line
we know the general equation
that is y - y₁ = m ( x - x₁ )
y - 3 = 5 ( x - ( -3) )
y - 3 = 5 ( x + 3 )
On further calculating we get
y - 3 = 5x + 15
5x - y = - 18 Or y = 5x + 18
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What is 7c+12=-4c+78
Answer:
c = 6
Step-by-step explanation:
7c + 12 = -4c + 78
subtract 12 from both sides:
7c + 12 - 12 = -4c + 78 - 12
7c = -4c + 66
add 4c to both sides:
7c+ 4c = -4c + 66 + 4c
11c = 66
divide both sides by 11:
11c/11 = 66/11
c = 6
The solution set of the quadratic equation x2 + 2x – 15 >O is
To find the set of a quadratic inequation, we first need to find the roots of the quatradic equation. The roots can be found by using the same inequality but changing the inequality sign the euqal sign:
[tex]\begin{gathered} x^2+2x-15>0 \\ x^2+2x-15=0 \end{gathered}[/tex]Let's use the Bharkara Equation to find the roots:
[tex]\begin{gathered} x=\frac{-2\pm\sqrt[]{2^2-4\cdot1\cdot(-15)}}{2\cdot1} \\ x=\frac{-2\pm\sqrt[]{4+60}}{2} \\ x=\frac{-2\pm\sqrt[]{64}}{2} \\ x=\frac{-2\pm8}{2} \\ x=-1\pm4 \\ x_1=-1+4=3 \\ x_2=-1-4=-5 \end{gathered}[/tex]So we get the roots x = 3 and x = -5. This are the point at which the graph changes its sign.
The quadratic term (the one multiplying x²) is 1, which is positive. Because of that, the parabola of the quadratic expression has a minimum vertex:
For the drawing, it can be seen that when x is between -5 and 3, the equation has a negative sign, while when x is lower than -5 or greater than 3 the expression has positive sign. We want the expression:
[tex]x^2+2x-15>0[/tex]So, when it is greater than 0, meaning positive. Then, the set that solves the quadratic inequation is:
[tex]\begin{gathered} x<-5 \\ or \\ x>3 \end{gathered}[/tex]Solve the following equation for x. Express your answer in the simplest form.
-2 (-2x + 3) = 4x - 6
The equation has blank
and it is x = blank
Answer: all real numbers
Step-by-step explanation:
-2(-2x + 3) = 4x - 6
distribute the -2
4x - 6 = 4x - 6
add 6 to both sides
4x = 4x
x = all real numbers
The playing surfaces of two football tables are similar. The ratio of the corresponding side lengths is 10:7. What is the ratio of the areas?
The ratio of the areas is ?:?
The area ratio is 100:49.
The ratio of areas equals the ratio of squares of matching sides.
Let's put this fraction of comparable ratios into an equation and then input in our two known values to get our two unknown values:
(10)2 : (7)2 = 100 : 49
The ratio of two identical figures areas is equal to the square of the ratio of their corresponding sides.
For instance, if the ratio of the respective widths of two comparable rectangles is 2:3, the ratio of their areas is
22:32=4:9: 2 = 4: 9
Hence the ratio of the areas is 100 : 49
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Ana is traveling North America. How many pesos
can she exchange for 150 Canadian dollars?
Hint: 5 pesos = 0.3 Canadian dollars
Ana is traveling North America, she can exchange for 150 Canadian dollars, 2500 pesos.
What do you mean Canadian dollars?Canada's official currency is the Canadian dollar. There is no standard disambiguating form, nevertheless, prominent style guides frequently recommend abbreviation Can$ to distinguish it from other dollar-denominated currencies. It is abbreviated with dollar sign $. There are 100 cents (¢) in it.
Due to the common loon depicted on its reverse, the dollar coin and occasionally the money itself are referred to as "loonies" by English-speaking Canadians, currency dealers, and analysts.
The Canadian dollar ranks behind the U.S. dollar, the euro, the yen, and sterling as the fifth most widely held reserve currency in the world, making up around 2% of all reserves. Because of Canada's relatively stable economy, strong sovereign position, and stability of its judicial and political systems, the Canadian dollar is favored by central banks.
5 pesos = 0.3 Canadian dollars
5\0.3 pesos = 1 Canadian dollars
[tex]150 Canadian dollars= \frac{5}{0.3} * 150 pesos = 2500 pesos[/tex]
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I need help with this please I know someone out there knows how to do this.
The solution to the equation of the graph are represented below
Equation of LineTo solve this problem, we simply need to use a graphing calculator to plot the graph of the straight line.
The points of at which they touch both x- axis and y-axis are highlighted in the graph.
The first equation is represented by the graph with red line while the second equation is represented by the graph with blue line.
Kindly find the attached solution as graph below
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help mee this is an ireadu question
Answer:
168=18·x+12·2x
Step-by-step explanation:
try and split the shape into 2 rectangles to picture it .
Meredith has 8 pends and 9 pencils. Brody has 4 pens and 9 pencils , which is the correct comparison of their ratios of pens to pencils
The ratio of pens Meredith has to ratio of pens Brody has is 2 : 1
The of pencils Meredith has to ratio of pencils Brody has is 1 : 2
How to find comparison using ratio?Ratio refers to the number representing a comparison between two named quantities.
Number of pens Meredith has = 8 pensNumber of pencils Meredith has = 9 pencilsNumber of pens Brody has = 4 pensNumber of pencils Brody has = 9 pencilsComparison of their ratios of pens to pencils:
Ratio of pens Meredith has to ratio of pens Brody has = 8 pens : 4 pens
= 8 / 4
= 2 / 1
= 2 : 1
Ratio of pencils Meredith has to ratio of pencils Brody has = 9 pencils : 9 pencils
= 1 / 1
= 1 : 1
So therefore, their ratio of pens is 2 : 1 and their ratio of pencils is 1 : 1
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Write 3.6 × 10³ as a product of powers of its prime factors.
Answer:
2,3,5
Step-by-step explanation:
First, 10^3 is 1000 and 3.6 x 1000 = 3600.
So, the factors of 3600 are 2,3,5
Through this photo if this helps:
3.6 x 10³ as a product of the powers of its prime factors is
[tex]2^4[/tex] x 3² x 5²
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
3.6 x 10³
This can be written as,
= 3.6 x 1000
= 36/10 x 1000
= 3600
Now,
3600 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5
2, 3, and 5 are prime numbers.
This means,
[tex]2^4[/tex] x 3² x 5²
Thus,
The powers of prime factors are
[tex]2^4[/tex] x 3² x 5²
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Write a percent for which the percent is greater than 100 and the part is known. Use the percent equation to solve your problem to find the whole.
Answer:
a percent greater than 100 could be 150%.
Lets say part is 15
15 is 150% of what?
is/of=%/100
fill in that and cross multiply to find "of"
15/x=150/100
x should equal 10.
I'm not sure exactly what your asking but if you are supposed to just make up numbers? And solve for it? That should be what you're looking for. Good luck I guess!
Step-by-step explanation:
On the bright side, the rain made the grass grow in the neighborhood. You like to mow the neighbor's lawns, and you charge $25 per lawn you mowed 6 lawns how much did u make mowing 6 lawns
Using the concept of unit rate we calculate the cost of mowing 6 laws as $150 .
Rates and ratios frequently vary with regard to time, geography, a particular object (or group of objects), etc. They are typically mathematical functions as a result.
When considered broadly, a rate (or ratio) can be thought of as either a benefit-cost ratio or an output-input ratio. For instance, in the transportation sector, miles per hour is the amount of miles travelled (or benefit) for every hour spent travelling (at a cost in time) (at this velocity).The charge to mow one lawn is $25 . This is the unite rate of the lawn.
Therefore the charge for 6 lawns is = $25 × 6 = $150
Hence the cost to mow 5 lawns is $150.
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Calculate the perimeter of a square
of area 36cm² Show all your working.
help please!!!
The perimeter of a square having area of 36[tex]cm^{2}[/tex] is equal to 24cm
Square of area A= 36[tex]cm^{2}[/tex]
We know that a square is a quadrilateral( a closed figure with four sides) with all 4 sides equal in length. Let the measure of one side of a square be x. from the formula to find out the area of a square we know that
Area of a square A = [tex]x^{2}[/tex]
∴From the data given in the problem
[tex]x^{2}[/tex] = 36
⇒x = √36
⇒x = 6
∴The measure of one side of a square = x cm = 6 cm
We know that the perimeter of a square = x+x+x+x = 4x
∴The perimeter of the given square = 4x = 4 × 6 = 24cm
Hence we get by solving as done above that for a square of area 36cm^2
the perimeter of the square is 24cm
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Find the volume of the rectangular prism.
8 cm
8 cm
3 cm
Answer: Volume = 192
Step-by-step explanation:
Volume of Rectangular Prism = Length x Width x Height
Volume = 8x3x8
Volume = 192
Find and interpret the slope for the real-world situation. Enter the slope in simplest form.
1) Let's find the slope plugging those points into that formula:
Since we have a linear equation, with its linear coefficient "b" = 0, then we can write this function as y=15x
m=15
So the money earned increases by $ 15 for each hour worked
How many natural numbers less than 200 are divisible by 4 but not 3?
There are 32 natural numbers less than 200 that are divisible by 4 but not 3.
Natural numbers are those positive numbers which start from one and goes to infinity.
Here, we have to find the natural numbers divisible by 4 but they should not be divisible by 3.
First, we will find all the natural numbers that are less than 200 and divisble by 4.
We will find all those numbers which can be divided by 4 starting from 4 till 200.
Such numbers ae 4,8,12,16,20,24,28,32,36,40,44,48,52,54,56,60,64,68,72,76,80,84,88,92,94,96,100,104,108,112,116,120,124,128,132,136,140,144,148,152,154,156,160,164, 168, 172,176,180,184,188,192,194,196, 200
There are total 50 numbers which are divisible by 4 which are less than 200
Now we will find among these which are divisible by 3
We will find all those numbers which are divisible by 3 starting from 4 till 200 because 4 is the first number which is divisible by 4.
These are 12,24,36,48,54,60,72,84,96,108,120,124,132,144,156,168,180,192
These are in total 18
Now, we will subtract them
Answer is 50-18 = 32
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how many slices are there in 3 pounds of ham
Answer:
there are 60 slices of ham
Step-by-step explanation: