Answer:
x = 9/2, y = -5/2
Step-by-step explanation:
5x + y = 20
10x - 2y = 50
There's multiple ways to do this, but I will solve using substitution.
Isolate variable y on the first equation.
5x + y = 20
y = 20 - 5x
Substitute the value of y for 20 - 5x in the second equation.
10x - 2(20 - 5x) = 50
Use distributive property:
10x - 40 + 10x = 50
Combine like terms:
20x - 40 = 50
20x = 90
x = 90/20
x = 9/2
Substitute x for 9/2 and solve for y:
y = 20 - 5(9/2)
y = 20 - 45/2
y = 40/2 - 45/2
y = -5/2
Answer:
x =9/2, y = -5/2
Step-by-step explanation:
5(9/2) + -(5/2)= 20
45/2 + -5/2 = 20
40/2 = 20
10(9/2) - 2(-5/2) = 50
90/2 + 10/2 = 50
45 + 5 = 50
suppose a city with population 100,000 has been growing a rate of 4% per year. if this rate continues find the population of this city in 10 years
Answer:
f(x) = a(1 + r)x f(x) = 100000(1+0.04)^10 = 148,024 I believe
Step-by-step explanation:
I will give brainliest please help
Answer:
x^5y^5
Step-by-step explanation:
here's your solution
=> if base are same then power get added in multiplication
=> so, x^2 * y^4 * x^3 * y^1
=> x^2 * x^3 * y^4 * y^1
=> x^5*y^5
hope it helps
Noel has rowing lessons every 5 days and guitar lessons every 6 days. If he had both lessons on the last day of the previous month, when will he have both lessons on the same day of the current month?
Answer:
Since every 30 days he wil have both lessons on the same day , and he already had both lessons on the last day of the previous month, that means that the day 30 the current month he wil have both lessons on the same day (It may be the last day if the month has 30 days or it may not be the last day if the month has 31 days)
Step-by-step explanation:
Lets find the least common factor of 5 and 6
Multiples of 5
5 10 15 20 35 30 35 40......
Multiples of 6
6 12 18 24 30 36
LCF of 5 and 6 = 30
Every 30 days he wil have both lessons on the same day
A performing arts group has 23 members and adds 2 members per
month. Write an equation in slope-intercept form to represent the number
of members y in x months.
y=2x+23
2x is the for the number of people added every month and 23 is for the number you start with
The equation in slope-intercept form to represent the number of members y in x months is : y = 2x + 23
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
In slope-intercept form, an equation of a line is represented as y = mx + b, where m is the slope (or rate of change) and b is the y-intercept (or the point at which the line crosses the y-axis).
Let's represent x is the number of months and y is the number of members.
The number of members y in x months is a linear function of the number of months, with a slope of 2 (the number of members added per month) and a y-intercept of 23 (the number of members at the beginning).
Thus, the equation in slope-intercept form to represent the number of members y in x months is : y = 2x + 23
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pls help ill give brainliest if correct
pic is attached
Answer:
option 3
Step-by-step explanation:
When I have walked 20% of the way to school, I have 1200 metres more to walk than when I have 20% of the walk remaining.
How far, in metres, is it from my home to my school?
Given:
I have walked 20% of the way to school.
I have 1200 metres more to walk than when I have 20% of the walk remaining.
To find:
The distance from home to school.
Solution:
Let x be the distance from home to school.
I have already walked 20% of the way to school and i have 1200 metres more to walk than when I have 20% of the walk remaining.
It means 1200 is [tex]100\%-20\%-20\%=60\%[/tex] of the total distance from home to school.
[tex]1200=\dfrac{60}{100}x[/tex]
[tex]1200=0.6x[/tex]
[tex]\dfrac{1200}{0.6}=x[/tex]
[tex]2000=x[/tex]
Therefore, the distance from home to school is 2000 metres.
How far, in metres, is it from my home to my school is 2,000 metres.
First step is to formulate
1200/(1-2×20%)
Second step is to find how far in metres
Distance=1200/(1-0.4)
Distance=1200/0.6
Distance=2,000
Inconclusion how far, in metres, is it from my home to my school is 2,000 metres.
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Suppose you have two numbersPandQ. Explain carefully why the product of their greatest commondivisor and their least common multiple is equal toP Q.
Answer:
Greatest common divisor (P,Q) × Least common multiple (P,Q) = PQ
Step-by-step explanation:
Given: Two numbers are P and Q
To prove: product of their greatest common divisor and their least common multiple is equal to PQ
Solution:
Consider the following relation:
Greatest common divisor (P,Q) × Least common multiple (P,Q) = Product of numbers P and Q
Therefore,
Greatest common divisor (P,Q) × Least common multiple (P,Q) = PQ
A puppy was born on April 1. The table gives the puppy's weights on three different
dates. Which graph best represents the puppy's weight on these days?
Answer:
it is the middle one
Step-by-step explanation:
i did it
Select the correct answer. Which expression is a prime polynomial?
A. x^3 - 27y^6
B. x^4 + 20x^2 - 100
C. 3x^2 +18y
D. 10x^4 - 5x^3 + 70x^2 +3x
The expression is a prime polynomial is [tex]x^3 - 27y^6[/tex]
What is a prime polynomial?An irreducible polynomial is a polynomial (of degree greater than zero) that cannot be factored into polynomials of lower degrees. The irreducibility property depends on the nature of the coefficients that are accepted for the possible factors, that is, the field or ring to which the coefficients of the polynomial and its possible factors should belong.
In this way we have that:
[tex]x^3 - 27y^6[/tex]
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Please help!!! I will mark brainliest
Answer:
option 2...........…..
what makes 3+7+2= ? +2 true? HELP
Answer:
3 + 7 + 2= 12
Step-by-step explanation:
It is made true because the equation adds up to the number. If we take 3+7 it equals to 10. Then we take 10 and add it to 2, which gives us 12.
Hope this helps :)
The value of the missing number x will be 10.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Let the missing number be x. Then the equation can be written as,
3 + 7 + 2 = x + 2
Simplify the equation, then the value of the variable x will be
3 + 7 + 2 = x + 2
3 + 7 + 2 - 2 = x
x = 3 + 7
x = 10
The value of the missing number x will be 10.
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Elizabeth has $680 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• She buys a new bicycle for $437.63.
• She buys 2 bicycle reflectors for $17.63 each and a pair of bike gloves for $18.11.
She plans to spend some or all of the money she has left to buy new biking outfits
for $35.19 each.
What is the greatest number of outfits Elizabeth can buy with the money that's left
over?
Answer: 5 outfits
Step-by-step explanation: 17.63x2=35.26
437.63+35.26+18.11=491
680-491=189
189 divided by 35.19= 5 (rounded)
A school cafeteria offers three lunch options on Mondays: spaghetti, sub sandwiches, or salad bar. The following two-way frequency table shows the number of each lunch option ordered on a given.
What percentage of teachers ordered the salad bar?
OA. 19.48%
B. 10.21%
C. 2.38%
D. 65.22%
Answer: 65.22%
Step-by-step explanation: 15 is more than half of 23 which means it can’t be the other options because the others aren’t more than half.
65.22 % of teachers ordered the salad bar
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
According to the question
A school cafeteria offers three lunch options on Mondays:
Spaghetti, sub sandwiches, or salad bar.
Percentage of teachers ordered the salad bar
Total number of teachers = 23
Total number of teachers ordered the salad bar = 15
= [tex]\frac{15}{23}[/tex]
= 0.6522
= 65.22%
Thus, 65.22 % of teachers ordered the salad bar
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find the area of the parallelogram
Answer:
I think the answer is 60
Step-by-step explanation:
If you do the base times the hieght it should get you the answer.
A shipping company selects 75 random packages to check their weight.It finds that 3 packages were weighed incorrectly. How many packages out of 3000 should the company predict have an incorrect weight?
Answer: 120 Packages
Step-by-step explanation:
Given
75 random packages are check
3 package is found faulty
So, the percentage of error is
[tex]\Rightarrow \dfrac{3}{75}\times 100=4\%[/tex]
i.e. 4% packages is faulty
For 3000 sample, expected faulty packages are
[tex]\Rightarrow 3000\times \dfrac{4}{100}=120\ \text{Packages}[/tex]
Hailey invested $2,000 in an account paying an interest rate of 2\tfrac{3}{8}2 8 3 % compounded continuously. Sophie invested $2,000 in an account paying an interest rate of 2\tfrac{7}{8}2 8 7 % compounded daily. To the nearest hundredth of a year, how much longer would it take for Hailey's money to double than for Sophie's money to double?
Answer:
5.08 years
Step-by-step explanation:
We are to solve for time using compound interest formulas
For Hailey
Principal = $200
Amount = Double of Principal = $4000
Rate = 2 3/8% = 2.375.
Time = ?
Hence,
First, convert R as a percent to r as a decimal
r = R/100
r = 2.375/100
r = 0.02375 per year,
Then, solve the equation for t
t = ln(A/P) / r
t = ln(4,000.00/2,000.00) / 0.02375
t = 29.185 years
≈ 29.19 years
For Sophie
Principal = $200
Amount = Double of Principal = $4000
Rate = 2 7/8% = 2.875
Time = ?
First, convert R as a percent to r as a decimal
r = R/100
r = 2.875/100
r = 0.02875 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(4,000.00/2,000.00) / ( 365 × [ln(1 + 0.02875/365)] )
t = ln(4,000.00/2,000.00) / ( 365 × [ln(1 + 7.8767E-5)] )
t = 24.11 years
How much longer would it take for Hailey's money to double than for Sophie's money to double?
For Hailey it takes 29.19 years
For Sophie it takes 24.11 years
We find the difference
= 29.19 - 24.11
= 5.08 years
Therefore, it would take 5.08 years for Hailey's money to double than Sophie
Answer:
5.07 a little late but oh well
Step-by-step explanation:
Submit a question that could be used to collect data from your classmates. The question should be stated in a way that they respond with a number.
Answer:
Gjdkv7fyfkg4kftirfkb8
what is the measurement of the missing angle
Answer:
65
Step-by-step explanation:
115-180=65 degrees
Answer:
68+47+x= 180
x=180-115
x=65
The frozen lemonade company Polar Cup uses data to show their sales for each day. Which of the following points, when added to the data set below, will create a data set that is skewed left?
A. 18
B. 27
C. 32
D. 34
Data: 25, 25, 26, 26, 27, 27, 28, 28, 29, 29
Answer:
18
Step-by-step explanation:
A left skewed data is one which it's tail is to the left of the distribution. This means the data is negatively skewed. One of the difference various characteristics of a left skewed data wh in could help find an answer to the question is that, for a left skewed distribution, the mean of the data is lower lesser than other measures of center and the mean falls to the left side of de of the peak. Hence, to create a data that is left skewed, we add the value from the options which will decrease the initial value of Mean.
From. The options ; adding 34 and 32 will increase the value the mean.
However, adding 18 will decrease the value value of the initial mean and hence, shift to the left of the peak.
Which table shows a linear function?
Evaluate the expression, below, when a = 2 and b = 5.
(3 + a)² • (4 – b) + √36
Answer:
-19
Step-by-step explanation:
1) substitute a with 2 and b with 5
(3 + 2)^2 * (4-5) + √36
2) solve the brackets and the square root
(5^2) * (-1) + 6
3) solve the power
25 *(-1) + 6
4) solve the multiplication
-25 + 6
5) solve the sum
- 19
Answer:
-19
Step-by-step explanation:
i got the answer right
Mia walks up to a claw machine with a pocket full of quarters. She spends them at a rate of two every minute until she runs out.
Part A
If the number of quarters Mia has is graphed over time, which feature of the graph corresponds to the rate at which Mia spends the quarters?
A. the x-intercept
B. the slope
C. the y-intercept
D. the minimum value
Part B
What is the slope?
A. 2
B. 60
C. −60
D. −2
part a
The x-intercept
part b
2
The y - intercept is the graph corresponds to the rate at which Mia spends the quarters.
And, The value of slope will be 2.
What is Equation of line?The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
She spends them at a rate of two every minute until she runs out.
Now,
Since, She spends them at a rate of two every minute until she runs out.
And, The number of quarters Mia has is graphed over time.
We know that;
Usually we represent the independent variable (time) by x and dependent variable (quarters) by y.
Hence, The y - intercept is the graph corresponds to the rate at which Mia spends the quarters.
So, The slope = 2/1
= 2
Thus, The y - intercept is the graph corresponds to the rate at which Mia spends the quarters. And, The value of slope will be 2.
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What is the area of a square, rectangle, or parallelogram?
Answer:
area of a square= length ²
area of a rectangle=length*breadth
area of parallelogram=base *height
Write an exponential function to model each situation. Then find the value of the function after the given amount of time. $35,000 invested at a rate of 6% compounded monthly; 10 years.
Answer:
this so hard
Step-by-step explanation:
30 points!!!!!
The area of the figure below is__ ft2. Round to the nearest whole
number.
Answer:
A=522
Explanation:
ø = pie/6 radians. identify the terminal point and tan ø
Answer:
Terminal point: (√3/2, 1/2); tan θ = √3/3
Step-by-step explanation:
The terminal point is (√3/2, 1/2) and the value of tanθ is √3/3 option (A) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
θ = π/6
Taking tan on both sides:
tanθ = tanπ/6 = 1/√3 = √3/3
Terminal points:
= (cosπ/6, sinπ/6)
= (√3/2, 1/2)
Thus, the terminal point is (√3/2, 1/2) and the value of tanθ is √3/3 option (A) is correct.
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if (triangle) ABC= (triangle) DEC , what is the value of x ?
a- x=8
b- x=5
c- x=4
d- x=1
Answer:
x= 1
Step-by-step explanation:
sinceΔABC =ΔDEF
Therefore
4x-1 will be equal to x+2
then x = 1
Hiii, I would love it if you can help me with this! I tried my best but it's really hard and I don't understand this.
Answer:
A
Step-by-step explanation:
82 inches! 6 feet is 72 inches. 12*6
PLS HELP MEEEEE!!!!!!!
Answer:
i think true hehehehehehehhehehehehe
Answer:
True
Step-by-step explanation:
Some people think a long drought may have occurred. However this information is not proven.
What are the solutions to the equation x2 + 4x – 12 = 0?
Answer:
Step-by-step explanation:
X=2,-6