[tex]10x-8y =4~~~....(i)\\\\-5x+3y=-9~~~...(ii)\\\\\text{Multiply equation (ii) by} -2\\\\10x-6y = 18~~~...(iii)\\\\(iii)-(i):\\\\10x-6y - 10x +8y = 18 -4\\\\\implies 2y = 14\\\\\implies y= \dfrac{14}2 = 7\\\\\text{Substitute y = 7 in equation (i):}\\\\10x-8(7) =4\\\\\implies 10x - 56 =4\\\\\implies 10x = 4+56\\\\\implies 10x = 60\\\\\implies x = \dfrac{60}{10} = 6\\\\\\\text{Hence (x,y) = (6, 7)}[/tex]
angelo's mother put $50 on a lunch card he spends the same amount each day for lunch. what is the constant rate of change for this function. choose two ordered pairs and write a ratio that can be used to find the slope or constant rate of change.
Given that Angelo spends the same amount everyday from the amount in
the lunch card, the function of the amount remaining is a linear function.
The constant rate of change of the function is; -5.25The two ordered pair used to find the constant rate of change are; (1, 44.75) and (2, 39.5)Reasons:
The amount Angelo's mother put on the lunch card = $50
A possible table of values to the question is presented as follows;
[tex]\begin{tabular}{r|c|c|c|c|}Days&0&1&2&3\\Money Remaining&&44.75&39.5&\end{array}\right][/tex]
Required:
The constant rate of the function that gives the amount remaining from the
amount Angelo's mother put on his lunch card.
Solution:
[tex]Slope \ or \ constant \ rate \ of \ change = \mathbf{\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]The two ordered pair that can be used to find the slope or constant rate of change are;
(x₁, y₁) = (1, 44.75), and (x₂, y₂) = (2, 39.5)
With the above two ordered pairs, we have the constant rate of change of the function given as follows;
[tex]Constant \ rate \ of \ change\ (The \ slope) =\dfrac{39.5-44.75}{2-1} = \mathbf{ -5.25}[/tex]
The constant rate of change for the function that gives the amount remaining in the lunch card is; -5.25
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Fill in the missing value for Y,
then click DONE.
y = 2x + 3
Answer:
x = 2 so y = 7
x = 4 so y = 11
Step-by-step explanation:
y = 2x + 3
x = 0 so y = 2(0) + 3 | y = 3
x = 2 so y = 2(2) + 3 | y = 7
x = 4 so y = 2(4) + 3 | y = 11
x = 6 so y = 2(6) + 3 | y = 15
Find 110% of 80 by writing the percent as a fraction
Answer:
[tex]\frac{80}{100}[/tex] i think its 80 or 88
Step-by-step explanation:
so sorry if this is wrong
Answer:
88
Step-by-step explanation:
x / 80 = 110 / 100
Cross multiply
80 * 110 = 100x
8800 = 100x
Divide both sides by 100
88 = x
Quick! I need an answer now! Please!
Linear or nonlinear:
y=x y=x/2 - 3 3x + y =12 y= 6/x - 2 y=3x^3+5
this equation is a non linear equation
NEED HELP NOW PLEASE
Answer:
-33.24 degrees F, -33.625 degrees F, -33.833 degrees F
Each time Cali babysits, she gives 35% of
the money to her sister who comes and
helps out. Find the expression that
shows how much money Cali keeps each
time she babysits.
A. (0.35%
B. X-(0.35)
C. x/0.35
D. X-0.35
Afia bought shoes that were on sale for 30 %off the regular price. Afia saved 12$. What was the regular price of the shoes?
ANSWER SOON
Divide the amount of savings by the percentage off:
12/0.30 = 40
The regular price was $40
Evaluate the numerical expression 24
Enter your answer in the grid below.
Answer:
what grid below
Step-by-step explanation:
Answer:
what grid below
Step-by-step explanation:
SOLVE
5x + 2y = 37
y = x + 8
Write the solution below.
Answer:
x=3
y=11
Step-by-step explanation:
5x + 2y = 37
y = x + 8
5x+2(x+8)=37
5x+2x+16=37
7x=21
x=3
y = (3) + 8
y=11
24 kg of tomatoes cost $216 how much would one kg cost
Answer:
$9
Step-by-step explanation:
Cost of 24 kg of tomatoes = $216
Cost of 1 kg of tomatoes = 216/24
= $9
Hope it helped you!
At a football game.120 tickets were solf and the concession stand sales were 600. The next week. 150 tickets were sold and the concession stand cells were $750. write a linear equation to represent this situation. How much would u expect the stand ti make if only 90 tickets sold
Answer:
450$
Step-by-step explanation:
a box of snacks contained 20 individual packages. the newly designed box contains 28 individual packages by what percent did the individual packages increase
Answer:
40%
Step-by-step explanation:
increased amount = 28 - 20 = 8
to get the percentage we have to divide the increased amount by original amount which will be 8/20 = 0.4
0.4 is 40%
The percentage increase is given as:
= [ (Final value - Initial value) / Initial value] x 100
The percentage increase in the number of individual packages is 40%
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Number of initial individuals packages = 20
Number of final individuals packages = 28
The percentage increase is given as:
= [ (Final value - Initial value) / Initial value] x 100
The percentage increase in the number of individual packages:
= [(28 - 20) / 20] x 100
= (8/20) x 100
= 40%
We can cross-check:
100% = 20 packages
140% = 140/100 x 20 packages
140% = 28 packages.
Thus,
The percentage increase in the number of individual packages is 40%
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Solve for B: 19 (less than or equal too sign) B + 17
The sum of the digits of a two-digit number is 12. If the number is multiplied by 3, the result is 144. Write
and solve a system of equations. Find the number.
Answer 48
Step-by-step explanation:
The two-digit number that satisfies the given condition will be 48.
What are digits?In a positional numeral system, a numerical digit is a single sign that can be used singly or in combination to represent numbers.
For example 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are digits.
Suppose the two-digit number is xy.
Sum x + y = 12
By multiplying by 3,
3(10x + y) = 144
10x + y = 48
Put y = 12 - x
10x + 12 - x = 48
9x = 36
x = 4
And, y = 12 - 4 = 8 so the number will be 48.
Hence "The two-digit number that satisfies the given condition will be 48".
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The radius of the front wheel of Brian's bike is 45cm.
Brian goes for a cycle and travels 78.15km.
How many full revolutions did Brian's front wheel complete?
Answer:
Each wheel has diameter 45cm. James cycles his bicycle in a straight line in the playground. The front wheel makes 15 complete revolutions.
Step-by-step explanation:
tell me if im wrong.........
Solve the formula for converting temperature from degrees Celsius to degrees Fahrenheit for C.
F = 9/5C + 32
F - 32 = 9/5C
C = 5/9(F - 32)
Correct answer: A
Hope this helps! :)
A group of friends wants to go to the amusement park. They have no more than $150 to spend on parking and admission. Parking is $10.50, and tickets cost $15 per person, including tax. Write and solve an inequality which can be used to determine p, the number of people who can go to the amusement park.
please write an inequality
also please solve for p <3
If the radius of a circle is ‘r’ units, which of the following is its circumference? *
Answer:
2πrExplanation:
The area of the unit circle is π (in general πr2 where r is the radius).
7. Use graph paper to graph each linear function:
f(x) = 4x - 7
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.
What is the value of y?
y-5 1/2 = 3 1/3
Step-by-step explanation:
Y - 5 1/2 = 3 1/3
Y = 3 1/3 + 5 1/2
Y = 8.83
if one rents a car from Airport Rent-a-Car, the charge is $79 plus 7 cents a kilometer. Savings Rent-A-Car charges $59 plus 9 cents a kilometer. If one will drive d kilometers, when is it cheaper to use Savings Rent-A-Car?
It will be cheaper to use Savings Rent-A-Car up to 1000 kilometers, from then on it will be cheaper to use Airport Rent-a-Car.
Given that if one rents a car from Airport Rent-a-Car, the charge is $ 79 plus 7 cents a kilometer, while Savings Rent-A-Car charges $ 59 plus 9 cents a kilometer, to determine, if one will drive D kilometers , when it is cheaper to use Savings Rent-A-Car, the following calculation must be performed:
79 + 0.07 x 30 = 79 + 2.1 = 81.1 59 + 0.09 x 30 = 59 + 2.7 = 61.7 79 + 0.07 x 300 = 100 59 + 0.09 x 300 = 86 79 + 0.07 x 600 = 121 59 + 0.09 x 600 = 113 79 + 0.07 x 900 = 142 59 + 0.09 x 900 = 140 79 + 0.07 x 1000 = 149 59 + 0.09 x 1000 = 149
Therefore, it will be cheaper to use Savings Rent-A-Car up to 1000 kilometers, from then on it will be cheaper to use Airport Rent-a-Car.
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(3)
Lea wants to make two pillows for her new couch. She needs 3 square yards of fabric for the first pillow and 1, square
yards of fabric for the second pillow. Lea wants to know how much fabric she will have to buy for both pillows.
Which expression represents the total number of square yards of fabric she needs for both pillows?
The expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z
let
x = first pillow
y = second pillow
fabrics needed for first pillow = 3 yards
fabrics needed for second pillow = 1 yards
z = Total square yards needed
The equation:
3x + y = z
Therefore, the expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z
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Answer:The expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z
let
x = first pillow
y = second pillow
fabrics needed for first pillow = 3 yards
fabrics needed for second pillow = 1 yards
z = Total square yards needed
The equation:
3x + y = z
Therefore, the expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z
Step-by-step explanation:
Broccoli costs $1.50 per pound at a store. How much money does 32 onces of broccoli cost
Answer:
$3.00
Step-by-step explanation:
1 pound = 16 ounces
2 pounds = 32 ounces
1.5 x 2 = 3
Tommy is reading at a rate of 4 pages every 16 minutes. Write an equation that shows Tommy’s reading rate in pages per minute.
Answer:
0.25 pages per minute
Step-by-step explanation:
4 pages per 16 mins.
4/16 = 0.25
0.25 pages per minute
its a word equation, hopefully this helped!
Discuss how to convert 15 in. to yd. (need ko po nganon)
Answer:
To convert 15 inches to yards you need to divide 15 by 36 to get 41.67 yards tep-by-step explanation:
Triangle A has a 50 degree angle and a 25 degree angle. Triangle B has a 50 degree angle and a 105 degree angle. Are the two triangles similar?
#4 (Show your work)
Pablo worked 3 jobs last summer. Pablo made $767.56 kifeguarding. $598.99 mowing lawns, and $643.33 house-sitting. How much money did Pablo earn doring summer?
Answer:
$2009.88
Step-by-step explanation:
767.56+598.99+643.33 = $2009.88
Joe started to save money to purchase a new game console. His savings at the end of the first week included a jar of 468 nickels and dimes. The total value of the coins was $34.40. Which system of equations below would be the best to use to find the number of nickels and dimes Anthony had at the end of the first week?
What is the solution to this equation? 2 x + 3 = x − 4
The system of equations that can be used to determine the number of nickels and dimes is:
x + y = 468
0.05x + 0.01y = 34.40
Where:
x = number of nickels
y = number of dimes
The equation that can be used to determine the number of nickels and dimes are known as simultaneous equations. Both equations have to be solved together in order to determine the required values.
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Brian buys a computer for £2100.
It depreciates at a rate of 1% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.
Answer:
it will be 1974
Step-by-step explanation:
2100*6/100
=126
Answer:
1997.08 pounds at the beginning of 6 years.
Step-by-step explanation:
If you start at 2100 pounds, and it depreciates by .01 every year, you would start by doing this. It wouldn't just be subtracting 21 each year because the value depreciates and 1% would come off the new depreciated value each year.
1st year - 2100*.01 = 21
2100-21 = 2079
2nd year - 2079*.01 = 20.79
2079 - 20.79 = 2058.21
3rd year - 2058.21*.01 = 20.58
2058.21-20.58 = 2037.63
4th year - 2037.63*.01 = 20.38
2037.63-20.38 = 2017.25
5th year - 2017.25*.01 = 20.17
2017.25 - 20.17 = 1997.08
6th year - at the beginning of the 6th year, it would be worth 1997.08.
At the end of the 6th year, it would be: 1997.08*.01 = 19.97. 1997.08-19.97 = 1977.11
A scale of a model has a scale of 1:360.
A. The actual length of the football field including the end zones is 120. how long in inches is the football field in the model?
B How many times the length of the model is the length of the actual stadium
Answer:
120 yards,360 feet's of length and 53 1/3 yards,160 feet of width