Given the total number of notes is eight and their value total is $550, then you have 5 notes of $50 and 3 notes of $100
As per the question statement, You have [tex]x[/tex] number of $50 notes and [tex]y[/tex] number of $100 notes. Their total value of $550 and total number of notes are eight. We are supposed to calculate the value of [tex]x[/tex] & [tex]y[/tex]
This question is a classic example of how to form and solve linear equations. For solving this, we will have two equations, both in two variable x and y.
As we have total 8 notes, therefore,
[tex]x+y=8[/tex]
And their total value is 550, therefore,
[tex]x*50+y*100=550[/tex]
From 1st equation we get, [tex]y=8-x[/tex]
substituting this in another equation, we get
[tex]x*50+(8-x)(100)=550\\50x+800-100x=550\\800-50x=550\\50x=250\\x=5[/tex]
Solving for y, we get
[tex]y=8-x\\x=5\\y=8-5\\y=3[/tex]
Therefore we have 5 notes of $50 i.e., [tex]x=5[/tex] and 3 notes of $100 i.e., [tex]y=3[/tex]
Linear Equations: It is an equation which when plotted on a graph forms a straight line and we solve for an unknown number called as variable. Here we are solving for two variables hence the two equations are to be formed.To learn more about such questions, click on the link given below:
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The table shows values for a linear function, f(x). What is an equation for f(x)?
Answer:
f(x) = -3(x) + 4
Step-by-step explanation:
Option C. 3/4.
the slope is 3/4 for any two adjacent points.
Then use the point-slope formula y-y1=m(x-x1) where m slope and (x1, y1) point
y-1=(3/4)(x-11)
y=(3/4)x-(29/4), distributing and moving the 1 over.
What is F x in a linear function?A linear function is a function of the form f(x) = ax + b, where a and b are real numbers. Here, a represents the gradient of the line, and b represents the y-axis intercept (which is sometimes called the vertical intercept).
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Find the error in the problem below
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20
Answer:
You aren't supposed to add 3k
Step-by-step explanation:
3k is a positve number. So instead of adding you have to subtract to be able to move on. Correct way shown below. Once you get this step wrong your answer will also be wrong. At the end you also need to divide
19-2k= 3k-1
-3k -3k
19-5k= -1
-19 -19
-5k= -20
-5/-5= -20/-5
k=4
PLS HALP- Fill in the blanks-sometimes-always-or never-
-Irrational numbers can be expressed by ratio of 2 integers (sometimes-always-or never)
-If a number is a whole number, it is also rational (sometimes-always-or never)
-Rational numbers are also integers (sometimes-always-or never)
-Non-perfect squares are irrational (sometimes-always-or never)
Pls answer correctly ty
Answer:
I think they are all always.
Step-by-step explanation:
They are called rational because they are the ratio, or quotient, of two integers
numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.
If a square root is not a perfect square, then it is considered an irrational number. These numbers cannot be written as a fraction because the decimal does not end and does not repeat a pattern.
Which number line represents the solution set for the inequality -1/2x>4
Answer: D
Step-by-step explanation: D because if your turn 1/2 into a decimal point it 0.5 (don't forgot to add the negative) and so i then divided -0.5 from x and just got x then you have to do the same for the other side. So i took 4 and divided it by -0.5 and got -8 to the expression would be x is greater then or equal to -8. you plot the dot at -8 and the line goes in front of it because it is lesser or equal to x (remember you reverse the problem if you say it back words so don't get confused), but after my long explanation just pick D
Mr. Mills is 5 feet and 11 inches tall. How many inches tall is he?
Answer:
71
Step-by-step explanation:
There are 12 inches in a foot:
12 inches x 5 feet = 60
60 + 11 inches = 71 inches total
Answer:
71 inches
Step-by-step explanation:
12 inches in a foot
12*5
60+11
71 inches
Hope this hopes. Have a great day. May it be filled with joy and happiness.
Help! [tex]\frac{x}{3} +5=x-1[/tex]
[tex]\frac{x}{3}+5=x-1[/tex]
Whenever there's a denominator. Multiply all whole equation with the denominator. For example, the denominator here in the equation is 3. So we multiply the whole equation by 3.
[tex]\frac{x}{3}(3)+5(3)=x(3)-1(3)\\x+15=3x-3[/tex]
Moving the x to the same term which goes for the same as the constant for easier in solving.
[tex]15+3=3x-x[/tex]
Moving to the another side, changing the sign/operator to opposite (From plus to minus, from multiply to divide.)
[tex]18=2x\\2x=18\\[/tex]
Move 2 to another side, aka to divide 18.
[tex]x=\frac{18}{2}\\x=9[/tex]
Therefore, the answer is x = 9.
2. x=9+ 2y
3х – 4y = 33
Answer:
y=3, x=15
Step-by-step explanation: hope this helps
Ava and her children went into a restaurant and will buy hotdogs and tacos. She must buy no less than 8 hotdogs and tacos altogether. Write an inequality that would represent the possible values for the number of hotdogs purchased, hh, and the number of tacos purchased, t.t.
Answer:
h + t ≥ 8
Step-by-step explanation:
h is for hotdogs and t is for tacos and they must buy no less than 8 (buy 8 or more than 8 altogether)
Johan needs to send out thank you cards after his graduation party he would buy a package of thank you cards for $8.50, or he could buy x individual thankyou cards for $0.15 each what is the largest value of x that would make buying the individual card less expensive than buying the package
A. 54
B. 55
C. 56
D. 57
The largest value of x that would make buying the individual card less expensive than buying the package is 57.
What is the largest value of x?The total cost of buying the individual thankyou cards is the product of the cost of buying one card and the number of cards bought.
Total cost of buying the individual thankyou cards = cost per card x number of cards bought
$0.15 × x = $01.5x
The inequality equation that would be used to represent this question is
(total cost of individual thankyou cards) > cost of the package
$0.15x > $8.50
In order to determine the value of x, divide both sides of the equation by 0.15
x > (8.50 / 0.15)
x > 56.67
x > 57 to the nearest whole number
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The solution of the equation 0 = 4 + 4{m+1} is
Answer:
m= -9
Step-by-step
this should work because (4+4)+(-9+1)=0 an
im sorry if this is wrong but im 99% sure this is right
i only put things in parenthesis to make things work better in my brain
Answer:
m = -2
Step-by-step explanation:
4 + 4{m + 1} = 0 {Subtract 4 form both sides}
4{m + 1} = -4
4m + 4 = -4 {Subtract 4 form both sides}
4m = -4 - 4
4m = -8 {Divide both sides by 4}
m = -8/4
m = -2
Objective: Write expressions to represent scenarios. If x represents the amount Rita earns each week, which expression represents the amount she earns in a year? Select the correct answer.
A. x + 52
B. 52 – x
C.
D. 52x
The owner of two hotels is ordering towels. He bought 84 hand towels and 22 bath towels for his hotel in Milford, spending a total of $618. He also ordered 84 hand towels and 80 bath towels for his hotel in Bloomington, spending $1,140. How much does each towel cost?
Step-by-step explanation:
hand towel is $5
bath towel is $9
40+[3{18÷(9-3)-11-9}+4]
Step-by-step explanation:
= 40 + [ 3 { 18 ÷ ( 9 - 3 ) - 11 - 9 } + 4 ]
= 40 + [ 3 { 18 ÷ 6 - 11 - 9 } + 4
= 40 + [ 3 { 3 - 20 } + 4
= 40 + [ 3 {- 17 } + 4
= 40 + ( - 51 ) + 4
= 40 + 4 - 51
= 44 - 51
= - 7
[tex]...[/tex]
☘☘☘....
Answer:
[tex] \sf \large \: - 7[/tex]
Step-by-step explanation:
40+3(18/9−3−11−9)+4
=40+3(18/6−11−9)+4
=40+3(3−11−9)+4
=40+3(−8−9)+4
=40+(3)(−17)+4
=40+−51+4
=40+−47
=−7
A cab service charges $4 plus $1.50 per mile. Kate wants to spend no more
than $28 on cab fare. In this inequality, m represents the greatest number of
miles Kate can travel in the cab.
28 > 4+1.5m
Solve the inequality. What is the value of m?
O A. 8
O B. 16
O C. 28
O D. 30
Answer:
b
Step-by-step explanation:
took the test i got bj : fz wf
The value of m in the inequality 28 > 4+1.5m is 16
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
To solve for m, we need to isolate it on one side of the inequality.
We can start by subtracting 4 from both sides:
28 - 4 > 1.5m
Simplifying:
24 > 1.5m
Next, we can divide both sides by 1.5:
16 > m
So Kate can travel at most 16 miles in the cab if she wants to spend no more than $28 on cab fare.
Therefore, the value of m in the inequality 28 > 4+1.5m is 16
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Pls give me brainliest
Do all 3 to get brainliest
Answer:
1.C
2. C
3.D
Step-by-step explanation:
Answer:
CCD
Step-by-step explanation:
PLS HELP I ALREADY GOTTA FINISH!!!!
Answer:
C.
Step-by-step explanation:
Add whole numbers: 8+9=17
Combine Fractions: 3/4+2/8= 1
= 17+1 =18
Answer:
Step-by-step explanation:
Make them have common denominators and combine.
[2((8 x 3)+3) ]/8 + [(9 x 8)+2]/8 = C.) 18.
HELP ME ASAP PLEASE!! IM GIVING EXTRA POINTS AND BRAINLIEST!!
Which number line shows the numbers -0.7,0, and plotted correctly?
-1
0
Answer:
the second one listed would be the answer you're looking for hon.
Step-by-step explanation:
Don't stay up too late, it is getting late. make sure you ace whatever you are doing and get good rest too.
The point G(1,1) is rotated 90° clockwise around the origin. What are the coordinates of the resulting point, G'?
The resulting point's coordinates, G', are rotated 90° clockwise around in the origin are (-1 , -1 ).
What is the coordinate plane's location?A coordinate plane is a two-dimensional plane created by the intersection of the y-axis, a vertical line, and the x-axis, a horizontal line. These really are perpendicular lines that cross at zero, which is known as the origin.
What are a plane's quadrants?Quadrant one (QI) is the upper right fourth of a coordinate plane, where all coordinates are positive. Quadrant two (QII) is the coordinate plane's upper left fourth. Quadrant three (QIII) is the fourth from the bottom left. Quadrant four (QIV) is the fourth from the bottom right.
According to the given data:Point G(1,1)
X= 1 ,Y = 1
We can see that the point lies in the first quadrant because the value of X and Y are the positive.
the coordinates of the resulting point, G' is rotated 90° clockwise around the origin.
As we know that the quadrant plane is divided into 4 part but if the point G rotates at 90 clockwise the the point will shift to the 4 quadrant and in the 4 quadrant the value of X and Y change And it became negative.
So
The resulting point's coordinates, G', are rotated 90° clockwise around in the origin are (-1 , -1 ).
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What’s the domain and rangeee
Answer:
the domain is 2, and the range is 1
Step-by-step explanation:
I need the answers please can anyone solve this one?
Answer:
This is it.
HI=8
GH=15
GI=17
In the equation X=(3y-9)^2 solve for y.
Answer:
y=radical x/3 +3
y=-radical x/3 +3
Step-by-step explanation:
I need help with this question ASAP
Answer:
Step-by-step explanation:
If you had both parts of the whole kite you would multiply but because you don't have both parts, you have to divide to find the other part so:
15.5 (whole) / 1.5 (part)= 10.3 (part)
Hope this helps!! :) have a good evening!
Please help I’m a little bit confused. If so, could you also tell me why it would be the one it is thank you!!
Answer:
0.44x10^3
Step-by-step explanation:
The number has to be from 1 to 10, not below 1, like 0.44 does.
What is the slope of the line in this graph?
please help my grade is on the line rn I think it's either 5/7 or 7/5
A study concluded that among people with a certain virus, 99.2% of tests conducted were (correctly) positive, while for people without the virus, 97.9% of the tests were (correctly) negative. If 32% of patients actually carry the virus, what's the probability that a patient testing negative is truly free of the virus?
Answer:
Following are the solution to the question:
Step-by-step explanation:
The probability of virus P(V) =0.32
No virus P(NV) =0.66
Patient testing of negative P(TN) = virus, and negative testing+no virus and negative testing
[tex]=0.32(1-0.992)+0.66 \times 0.979 \\\\=0.00256+0.64614\\\\=0.6487[/tex]
This is why the likelihood of a patient being free of the virus is negative.
[tex]= \frac{P(NV) \times\ tested \ negative }{P(TN)}[/tex]
[tex]= \frac{0.66 \times 0.979}{0.6487}\\\\= \frac{0.64614}{0.6487} \\\\=0.996053646[/tex]
The smallest composite number that can be written as a product of 4 different prime number are
option a) 120
option b)210
option c)240
option d)180
A car travels at a rate of 50 miles per hour for 3 hours. Let y be the distance, in miles, the car travels for a given amount of time, x, in hours. This situation can be modeled by a function.
What is the domain of the function?
A.
0 ≤ x ≤ 3
B.
0 ≤ x ≤ 50
C.
0 ≤ y ≤ 3
D.
0 ≤ y ≤ 50
MARKING BRAINLIEST! A machine pumps 4 1/2 gallons of water every hour. How many gallons of water does it pump after 2 2/3 hours?
Answer:
12 gallons
Step-by-step explanation:
You just multiply both of the numbers.
Answer:
12 Gallons of Water!
___________________________________________________
4.5= 1 hour
9= 2 hours
4.5/3=1.5
So every 1/3 hour equal 1.5 gallons of water!
9+1.5*2= 12
please help!! i don’t understand how to do this.
Answer:
C= 5/9 * (F -32)
Move 5/9 to the left which makes it 9/5
9/5 * C = (F -32)
Move the -32 to the left
9/5 * C +32 = F or to make it read left to right
Fahrenheit = 9/5 * Celsius + 32
Step-by-step explanation:
Enter a positive common factor (other than 1) of the fractions numerator and denominator 15/25