Answer:
x = 1 and y = −2
Step-by-step explanation:
Rewrite equations:
x + 2y = −3
3x − 2y = 7
Step 1: Solve x+2y=−3 for x:
x + 2y = −3
x + 2y + −2y = −3 + −2y (Add -2y to both sides)
x = −2y − 3
Step 2: Substitute −2y − 3 for x in 3x − 2y = 7:
3x − 2y = 7
3(−2y − 3) − 2y = 7
−8y − 9 = 7 (Simplify both sides of the equation)
−8y − 9 + 9 = 7 + 9 (Add 9 to both sides)
−8y = 16
−8y/−8 = 16/−8 (Divide both sides by -8)
y = −2
Step 3: Substitute −2 for y in x = −2y − 3:
x = −2y − 3
x = (−2)(−2) − 3
x = 1 (Simplify both sides of the equation)
The pupils in my class work very quickly. Jasleen answers four questions every
30
seconds and Ella answers five questions every
40
seconds.
Last week, Jasleen took exactly
1
hour to answer a large set of questions.
How many minutes more than Jasleen did Ella take to answer the same set of questions?
Answer:
4 mins more would be taken by Ellina
Step-by-step explanation:
Given that
Jasleen answers 4 questions every 30 seconds
And, Ella answers 5 questions every 40 seconds
And, last week Jasleen took exactly 1 hour for answering a large set of questions
We need to find out the number of more minutes taken by Ella
As Jasleen answers four questions every 30 seconds
So, Jasleen answers 8 questions for every 1 minutes
Now
Jasleen answers time taken
= 60 × 8
= 480 questions for every 60 minutes or 1hr
On the other hand
Ella answers five questions every 40 seconds.
So, 1 questions in 8 sec
Now for 480 Questions , it would take
= 480 × 8 secs
= 480 × 8 ÷ 60 min
= 8 × 8
= 64 mins
Hence 4 mins more would be taken by Ellina
What is the sum?
3
4
3x+4
****
О.
3x+4
o
7
xxx
HELP please 52 minutes left !!!!!!
Answer:
c. [tex] \frac{3x + 4}{x^2} [/tex]
Step-by-step explanation:
Given:
[tex] \frac{3}{x} + \frac{4}{x^2} [/tex]
Required:
The sum
Solution:
[tex] \frac{3}{x} + \frac{4}{x^2} [/tex]
Common denominator is x².
Therefore, divide x² by the denominator of each fraction and multiply by each of its denominator.
Thus, we would have:
[tex] \frac{3x + 4}{x^2} [/tex]
Help 9-11 thank you !
Answer:
9 - 11 = -2
Step-by-step explanation:
Because 9 is being subtracted by a number greater than itself, the answer has to be a negative and because:
9 + 2 = 11
9 - 11 = (-2)
Your Welcome :)
casssssssssssssssssssssss
Answer:
casidy from fanf ?!?!
Step-by-step explanation:
The box plot below shows the heights, in inches, of the 24 students in Brandon’s
homeroom.
47 5149 55 57 61 53 59 63 65 67 69
Select all the statements that describe the class according to the box plot.
A 50% of the students are less than 62 inches tall.
B The tallest student is 69 inches tall.
C 50% of the students are at least 56 inches tall.
D 25% of the students are less than or equal to 53 inches tall.
E There is a range of 9 inches in the heights of the students.
F 25% of the students are greater than 62 inches tall.
what is a easier way to solve fractions
Answer: hewo, there! I hope I Made it easier to Understand
the first method is to equally divide the top and bottom of the fraction by whole numbers larger than 1 until you cannot go any further. As an example, let's take the fraction 24/108: Divide each number by 2 to get 12/54. Divide by 2 again to get 6/27
Step-by-step explanation:
To work out a fraction of a number, all you need to do is divide that number by the denominator of the fraction, then multiply your result by the numerator of the fraction
Hope this helps you!!
Have a great day!!!
This question is probably easy but I'm not really smart so please help :(
Answer:
All I know is that the total of the provided numbers make 58 feet and that you should probably break down the shapes into 2 different shapes. Then try to find the perimeters of each shape. I'm not sure what to do afterwards. Maybe I helped jogged your memory on what to do? I hope I helped some.
Geraldo earns $505 from his summer job and deposits it in a savings account that earns 4% simple interest. After 3 years, he moves all his money to another savings account at another bank that earns 6.5% simple interest. What formula below can be used to calculate Geraldo’s total interest earnings after 7 years?
Answer:
Step-by-step explanation:
{7x+4y=-8
{-8x-5y=13
Solve system of equation
Answer:
(x,y)=(4,-9)
Step-by-step explanation:
The solution of the equation 7x + 4y = – 8 and 8x + 5y = –13 will be (4, –9).
What is the solution of the equation?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The solution of the equation means the value of the unknown or variable.
The system of the equation is given below.
7x + 4y = – 8 …1
8x + 5y = –13 …2
Multiply equation 1 by 5 and equation 2 by 4. Then subtract the equation 1 from 2, then we have
32x – 35x = –52 – (–40)
–3x = –12
x = 4
Substitute the value of x in equation 1, then the value of y will be
7(4) + 4y = – 8
28 + 4y = –8
4y = –36
y = –9
The solution of the equation 7x + 4y = – 8 and 8x + 5y = –13 will be (4, –9).
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ5
How many halves are in 3 1/4
Figure ABCD is reflected across the x-axis. What are the coordinates of A' , B' , C' , and D' ? Enter your answer by filling in the boxes. A' ( , ) B' ( , ) C' ( , ) D' ( , ) A graph with a quadrilateral on it formed between points A begin ordered pair 2, 3 end ordered pair, B begin ordered pair 5, 5 end ordered pair, C begin ordered pair 7, 3 end ordered pair, and D begin ordered pair 5, 2 end ordered pair
Answer:
Step-by-step explanation:
A' (2,-3)
B' (5,-5)
C' (7,-3)
D' (5,-2)
Answer:
A' (2,-3)
B' (5,-5)
C' (7,-3)
D' (5,-2)
Step-by-step explanation:
$1234 is invested at 5.6% annual interest for 7 years.
a. Simple Interest b. Compound Interest
Answer:
A) $1,717.73.
B) $1,807.02.
Step-by-step explanation:
Given that $ 1234 is invested at 5.6% annual interest for 7 years, to determine the final amount applying a simple interest and a compound interest, the following calculations must be performed:
A)
1234 + ((1234 x 0.056) x 7) = X
1234 + (69.104 x 7) = X
1234 + 483.728 = X
1717.728 = X
Therefore, applying a simple interest of 5.6% per year, in 7 years the amount invested would be $ 1,717.73.
B)
1234 x (1 + 0.056) ^ 7 = X
1234 x 1.056 ^ 7 = X
1234 x 1.464 = X
1,807.02 = X
Therefore, applying compound interest, the sum would become $ 1,807.02.
A train ticket in a certain city is$1.50. People who use the train also have the option of purchasing a frequent rider pass for $15.75each month. With the pass, each ticket costs only $0.75. Determine the number of times in a month the train must be used so that the total monthly cost without the pass is the same as the total monthly cost with the pass.
Answer:
15.75-1.50=14.15
14.15-0.75=13.50
What is factor for 7x^2-21-280
A passenger must climb 7 steps to a platform to enter the gondola. Each step is 7.5 inches. What would the equation of the ferris wheel circle be on a cartesian coordinate graph if the x-axis is the ground and the y-axis is the axis of symmetry of the ferris wheel.
Answer:
55
Step-by-step explanation:
The equation of the Ferris wheel circle is [tex](x-0)^{2} +(y - 104.375)^{2} = (100)^{2}[/tex]
What is Ferris wheel?A Ferris wheel is an amusement park ride consisting of a large vertical wheel with places for people to sit or stand spaced evenly around the outer circumference.
What is the standard equation of the circle?The standard equation of the circle is
[tex](x-h)^{2} +(y-k)^{2}= r^{2}[/tex]
Where,
(h, k) is the center of the circle
and, r is the radius of the circle
According to the given question.
The diameter of the Ferris wheel is 200 feet
[tex]\implies radius\ of \ the\ Ferris\ wheel = \frac{200}{2} = 100feet[/tex]
Height of the platform = 7 × 7.5 = 52.5 inches = 4.375 feet
Therefore,
[tex]k = 4.375+100 = 104.375feet[/tex]
and
[tex]h = 0[/tex]
Therefore, the equation of the Ferris wheel circle is
[tex](x-0)^{2} +(y - 104.375)^{2} = (100)^{2}[/tex]
Find out more information about equation of the circle here:
https://brainly.com/question/10618691
#SPJ3
help finding arc of a circle geometry problem
Solve the following equation for x. x^2 - 36 = 0
A. x=1 x=-36
B. x=-1 x=36
C. x=-6 x=6
D. x=-18 x=18
Answer:
The answer is C.x=6,x=-6
Step-by-step explanation:
Greetings!
x²-36=0x²-36+36=0+36.. add 36 both sidesx²=36... simplifyAn assumption
"In general, all equations of the form x² = a, where a is a positive number, will always give two solutions, namely x = - √a or x = √a."
Thus,
x= √ 36, x= - √ 36x=6, x=-6Betsy spent 26 days traveling in Europe. How many weeks and days did Betsy
travel in Europe?
A. O 2 weeks 6 days
B. O 3 weeks 5 days
c. O 4 weeks 2 days
D. O 5 weeks 1 day
Answer:
3 weeks 5 days
Step-by-step explanation:
A week is 7 days
26/7 = 3 remainder 5
3 weeks 5 days
The following table lists the frequency distribution for 60 rolls of a die.
Outcome
1-spot 2-spot 3-spot 4-spot 5-spot 6-spot
Frequency 10
12
10
10
13
5
Test at the 5% significance level whether the null hypothesis that the given die is fairns true.
False
True
Answer:
False.................
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
False.ThanksHope it helps25 POINTS AND BRAINLIEST 6. Consider the following figure.
Part A: Determine the PERIMETER of the figure above.
Part B: Determine the AREA of the figure above.
Answer: The perimeter is 95 + 15 sqrt 3, and the area is 600 + 35 sqrt 3 / 2
Step-by-step explanation:
We can draw an imaginary line to form a 30 60 90 triangle. The ratio of side lengths in this special triangle is 1 sqrt 3 2. We are given that the side length opposite to 60 degrees is 15. 15 divided by sqrt 3 is equal to 5 sqrt 3. Now, to find the diagonal we can do 5 sqrt 3 * 2 = 10 sqrt 3. So now, we can find the perimeter. The perimeter is equal to 15 + 40 + 40 + 5 sqrt 3 + 10 sqrt 3 = 95 + 15 sqrt 3. Now, we can find the area. The area can be split into the rectangle's area and the triangle's area. The rectangle's area is 15 * 40 = 600. The triangle's area is 15 * 5 sqrt 3 / 2 = 35 sqrt 3 / 2. The total area is 600 + 35 sqrt 3 / 2.
Answer:
Perimeter: 95+15*sqrt(3)=120.98
Area: ([45*sqrt(5)]/2) + 600=605.3
Marcy can walk 12 blocks in 5 minutes. If each block is 50 feet long, how many feet will she walk during the 30 minutes that she walks each dog?
Answer:
3600ft.
Step-by-step explanation:
12blocks x 50ft/block = 600 feet/5min.
30min/5min = 6
600 x 6 = 3600 ft.
Give the opposite of the number 0
Answer:
-0
Step-by-step explanation:
1. Jim is tracking the progress of his plant’s growth. Today the plant is 8cm high. The plant grows 3.5cm per day. What will the height of the plant be on day 28? (Hint: “today” is day 0).
2. The average inflation rate of the U.S. dollar over the last six years is 2.8% per year. If a new car cost $29,000 six years ago, how much would it cost today?
3. The population of Mickey Village is 48,000 today. Every other year the population increases by 1,550 people. In approximately how many years will the population exceed 70,000 people?
4. The population growth rate is 3.0% per day with a current population of 30,000.
a. What is the TDouble?
b. What will the populate be in 10 years?
5. The half-life of substance X is 3.5 years. How long will it take for a 96.0 mg sample of substance X to decay and only have 3.0 mg of it remaining?
6. Paul opens a savings account with $900. He deposits $550 per month. Assume that he does not withdraw money or make any additional deposits.
a. How long will it take Paul to save $8,100?
b. How long will it take Paul to save enough money for a $250,000 house?
c. Explain why your answers to 6a and 6b make sense.
7. The doubling time of a population of flies is 20 days. If there are initially 250 flies, how many flies will there be in 46 days?
8. Suppose that a bacteria population doubles every eleven hours. If the initial population is 2,000 individuals, approximately how many hours would it take the population to reach 20,000?
1. Jim is tracking the progress of his plant’s growth. Today the plant is 8cm high. The plant grows 3.5cm per day. What will the height of the plant be on day 28? (Hint: “today” is day 0).
"The plant grows 3.5 cm per day" means that the function grows by 3.5 cm each day. We can make a function like this:
y = 8 + 3.5x
Day 0 -> Day 28 is +28 days, so plug-in x with 28 to find out how much it would have grown in 28 days PLUS the original height of the plant, 8 cm.
y = 8 + 3.5(28) <-- see how I replaced x with 28
Simplify
y = 8 + 98 = 106 cm at day 28
2. The average inflation rate of the U.S. dollar over the last six years is 2.8% per year. If a new car cost $29,000 six years ago, how much would it cost today?
2015, 2016, 2017, 2018, 2019, 2020, 2021
Just to help you imagine the years, we need to find the car's value from $29,000 in 2015 to 2021 using the idea that the car's value increases by 2.8 percent. What does 2.8 percent mean and how do we use this information to find out how much it increases? We need to convert this to a decimal so we can multiply it by 29,000 easily. First, convert 2.8% to a decimal = 0.028. Then we have to add 1 to 0.028. Why? Because we need to make sure that we still have the original 100% of the 29,000. If we forget the 1 then we're just finding 2.8% of 29,000! So, now we know that our multiplier by each year is 1.028. Now we have to multiply.
29,000 x (1.028)^6 (we have a power of 6 because remember, we are multiplying the 1.028 every year, and there are 6 years!)
Simplify: 34,226.0425 that rounds to 34,226.0425 dollars
3. The population of Mickey Village is 48,000 today. Every other year the population increases by 1,550 people. In approximately how many years will the population exceed 70,000 people?
The details of this question are confusing, so I won't answer this. Sorry, I'm really short on time. I hope I could help the best I could.
como usar a camera frontal do nokia?
Answer:
Toque para cambiar a la cámara frontal.
Step-by-step explanation:
No files plz help with answer
Answer:
20°
Step-by-step explanation:
60 = (x + 40) (opposite angles are equal)]
x = 60 - 40 = 20°
Answer:
=> x = 20°
Step-by-step explanation:
here's your solution
==> both are vertical angle ,so both are equal
==> 60° = x + 40°
==> - x = -60° + 40°
==> - x = - 20°
==> x = 20°
[tex]hope \: it \: helps[/tex]
Alternate interior angles. if you are good at that help
Answer:
hi
Step-by-step explanation:
i think so,
(5x-54)⁰=(3x+16)⁰
5x-3x=16+54
2x=70
x=35⁰
3x+16=3×35+16=121
5x-54=5×35-54=121
hope it helps
have a nice day
Answer:
x = 35
The angles measure 121°
Step-by-step explanation:
Alternate interior angles are congruent. So,
3x + 16 = 5x - 54
16 = 2x - 54
70 = 2x
x = 35
Now, to find the angle measures, just plug in the value for x.
3(35) + 16 = 121°
5(35) - 54 = 121°
is this right??? if not helpp
The Parkers are getting a new pet. Alan wants a cat, but his sister Jessica wants a dog. Both want a fair method to determine who gets to
choose the new pet.
Alan devised a method using the given spinner
• They will spin the arrow twice and record the outcomes.
. If the product of the outcomes is even, Alan gets to choose the new pet.
• If the product of the outcomes is odd. Jessica gets to choose the new pet.
Answer:
D I think
Step-by-step explanation:
because each choice has a 25% chance to land and there are 2 evens so the chances are a 50% to a 50%
The sampling method isn't fair, it can be resolved by using the sum of the two outcomes rather than he product.
What is sampling?It should be noted that sampling simply means a process whereby a number of observations are taken from the population.
In this case, the sampling method isn't fair, it can be resolved by using the sum of the two outcomes rather than he product.
Learn more about sampling on:
https://brainly.com/question/24666382
How do you write 25% as a fraction ?
Answer:
1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
Write down the percent divided by 100 like this:
25% = 25/100
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As 25 is an integer, we don't have numbers after the decimal point. So, we just go to step 3
(or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(25,100) = 25. So,
(25÷25)/(100÷25) = 1/4 when reduced to the simplest
Please help me ASAP please
Answer:35 answer
Step-by-step explanation:75-40=35
Answer:35
Step-by-step explanation:
40+T=75
Or
75-40=35