Answer:
infinitely many solutions
Step-by-step explanation:
we have: x+6y= 3
5x+30y=15
where a1/a2 = b1/b2 = c1/c2 (1/5 = 6/30 = 3/15)
Thus, the system has infinitely many solutions.
another approach:
convert to slope-intercept form
y= -1/6x + 1/2
y= -1/6x + 1/2
thus, the system has infinitely many solutions.
(explain: if two lines have a same slope (-1/6), they can be either parallel or coincided. But in this case, they also have a same y-intercept so they must be the latter case)
solve each system by substitution
Answer:
x=2,y=5
Step-by-step explanation:
y=8x-11 ----(1)
y=-7x+19----(2)
Replace (1) in (2)
8x-11 =-7x+19
8x+7x=19+11
15x =30
x =30÷2
x =2
If x=2,then replace x=2 in (1)
y=8(2)-11
y=16-11
y=5
Isaiah leaves one city at noon. He has to be at another city at 186 km away at 3:00 P.M. The speed limit the entire way is 65 km/h. Can he arrive at the second city on time? Explain your reasoning using mathematical evidence.
Answer:
From noon to 3 pm, there are three hours so the average speed Isaiah will need to arrive in another city in 3 hours is 186/3 = 62 km/h. Since this is less than the speed limit, Isaiah can go an average speed between 62 km/h to 65 km/h to arrive at the second city on time.
Step-by-step explanation:
The sequence below shows the number of bacteria Arjun observed each hour for a science experiment:
5, 20, 80, 320, 1, 280,...
Which recursive function describes the number of bacteria observed at the nth hour?
Answer: f(1) =5
f(n+1)=4f(n)
Step-by-step explanation:
Order the numbers from least to greatest.
-0.25, 1/4,1/3,0.3
Answer: −0.25, 1/4, 1/3, 0.3
Step-by-step explanation:
Convert all numbers to decimals
−0.25 = −0.25
1/4 = 0.25
1/3 = = 0.3333...
0.3 = 0.3
Arrange the numbers in ascending order
−0.25, 0.25, 0.3333.., 0.3
Replace the numbers with the original numbers
−0.25, 1/4, 1/3, 0.3
There are 15 girls in your class this year. That is a 15% increase from last year.
a. Write a proportion to solve for the number of girls in the class last year.
b. Solve the proportion in part (a).
Answer:
13 girls
Step-by-step explanation:
100 + 15 = 115%
115% = 15 girls
1% = 0.13
100% = 0.13 x 100 = 13
How do you solve 4x^2 + 44x + 96 step by step?
Answer:
60x+96
Step-by-step explanation:
4x^2= 16x
16x+44x+96
60x+96
ur welcome lol
The length and width or a rectangular courtyard is 40 feet and 30 feet, respectively. In order to make the courtyard larger, an additional 15 feet is being added to the width
Answer:
The new area is 1800feet^2
Step-by-step explanation:
Step one:
Given data
The length and width or a rectangular courtyard is 40 feet and 30 feet
we can calculate the area of the courtyard as
Area= 40*30
Area= 1200 feet^2
when the extra 15 feet is added to the width
the new width is= 30+15= 45feet
The new area is
Area= 40*45
Area= 1800 feet^2
in all the area will increase by 1800-1200= 600feet
if i swam 86 meters and someone else swam 53 meters how much more did i swim
Answer:
33 meters.
Step-by-step explanation:
You're trying to find the difference between 86 and 53. To find that, you would do 86-53.
Answer:
The answer is 33 meters
Step-by-step explanation:
This question is to find the difference between your's and someone else's swimming distance. Therefore, if you wanna know the difference of the distance you have to subtract form 86-33 which give the answer 33 meters.
What is the first step in solving the inequality. 32≥5−3x
Answer: Simplify
Step-by-step explanation:
Please help. I need a smart person to help :)
Answer:
quadrant 2!
Step-by-step explanation:
PLEASE HELP! I NEED THIS DONE BY TOMORROW!
1. In January, a mobile phone shop sold 100 phones. In February, they sold 92 phones. Represent this difference as a percentage change.
2. A piece is cut from a 130cm length of wood so that the remaining length is 104cm. What percentage of the wood has been cut off?
3. There are now 30 boys in a class that originally had 24 boys in it. What was the percentage increase in the number of boys in the class?
4. Last year, there were 300 students in Year 7. This year there are 315 students. Show that this is a 5% increase.
5. A piece of art was bought for £600. Six months later, it was sold for £675. What percentage of profit did the seller make?
6. In a sale, trainers originally costing £70 are reduced to £49. Calculate the percentage change.
7. Josh invests £3500. When his investment matures, he receives £4200. Work out the percentage
increase in his investment.
8. A car company bought a car for £8000. Two years later they sold the car for £7200. Calculate their
percentage loss.
Answer
down below
Step-by-step explanation:
i did it on your last post
please give me a brainliest!!
Exactly 150 years ago, students planted a tree in front of their school. Since then, the tree has grown 33 meters taller and the distance around the trunk has increased by 3 meters. Use pencil and paper. Describe how you can use this information to find at least two different unit rates. Then find these unit rates.
Step-by-step explanation:
There are 2 different unit rates here:
The increase of the tree's height per year The increase of the tree's trunk per yearRate of tree's height per year
= 33m / 150 years = 0.22m per year.
Rate of tree's trunk per year
= 3m / 150 years = 0.02m per year.
HELP
3. The density of an object can be found with this formula...
D = M/V
D = Density, M = Mass, and V = Volume
Choose the correct equation for an object that has...
Density = ?, Volume = 10cm, Mass = 500g
Explanation:
Density = Mass/Volume
D = M/V
D = 500/10
D = 50 grams per cubic cm
Your teacher should have written cm^3, cc, or cubic cm instead of just "cm" to represent the volume. The abbreviation "cc" stands for "cubic cm" which you may hear a lot in hospital settings when it comes to medicine dosages.
PLS HELP ME ILL GIVE BRAINLIEST
9514 1404 393
Answer:
C. the slope of f(x) is less ...
Step-by-step explanation:
"Slope" is a signed number, so comparison using words like "less than" or "greater than" are expected to be used as they are in the context of signed numbers.
The slope of f(x) is the "rise" divided by the "run" of the graph. From left to right, the two points on the graph of f(x) have a "rise" of -2 for a "run" of +1. The slope of f(x) is ...
m = rise/run = -2/1 = -2
The slope of g(x) is the coefficient of the x-term, -7.
__
In the context of signed numbers, the slope of f(x) is -2 and the slope of g(x) is -7. We know -2 is greater than -7, so the slope of f(x) is greater than the slope of g(x).
However ...
In the real world, the slope of a hill is measured in the same way: rise is divided by run. The slope of a hill is always a positive number, because we're not concerned about what compass direction we're going. We're only concerned with how high we need to raise our foot to take the next step up the hill. That is, we're concerned with the "steepness" of the slope, its magnitude.
In that sense, the function g(x) changes 7 units for a change in x of 1 unit, and the function f(x) changes 2 units for the same change in x. Considered in this way, the "steepness" of the g(x) line is greater than that of the f(x) line. We can say the slope of f(x) is less than the slope of g(x).
_____
If the question is asking about the algebraic relation of the slopes of the lines, then the answer is ...
A. The slope of f(x) is greater ... (-2 > -7)
If the question is asking about the steepness of the lines, as we expect is the case, then the answer is ...
C. The slope of f(x) is less ... (2 < 7)
which graph shows the solution set of the inequality 2.9 (x + 8) less-than 26.1
Answer:
C
Step-by-step explanation:
Trust me bro
A baboon pushes a 5.5 kg that is initially at rest. . What is the box's change in momentum between 0 ms and 40 ms?
Answer:
0.80
Step-by-step explanation:
A Family travels at a constant rate and drove 420 miles in 7 hours.If they drive at the same speed ,How many miles will they drive in the next four hours.?
Answer:
240 miles
Step-by-step explanation:
Step 1
We find the constant rate at which the family travels
Speed(Rate) = Distance/Time
A Family travels at a constant rate and drove 420 miles in 7 hours.
Speed(Rate) = 420 miles/7 hours
= 60 miles per hour
Step 2
If they drive at the same speed ,How many miles will they drive in the next four hours.?
We are to finally calculate the distance for the next 4 hours
Distance = Speed × Time
Speed = 60 miles per hour
Time = 4 hours
Distance = 60 miles per hour × 4 hours
Distance = 240 miles
Therefore, for the next 4 hours the number of miles they would drive is 240 miles
Pete's Pizza Parlor sells pizzas for $7 each. Pete's has a $5 fee for all delivery orders. What equation could be used to find C, the total cost, based on p numbers of pizzas?
Answer:
C = 5 + 7p
Step-by-step explanation:
Pete's Pizza Parlor sells pizzas for $7 each. Pete's has a $5 fee for all delivery orders.
Let p = Total number of pizzas
Hence:
The total cost C is written as:
C = $5 + $7 × p
C = 5 + 7p
Therefore, the equation that could be used to find C, the total cost, based on p numbers of pizzas is:
C = 5 + 7p
h + 13.4 = -13.4
h = ?
The difference of H.C.F. and L.C.M. of the numbers 12 and 16 is:
Pls help
Step-by-step explanation:
the hcf of numbers 12and16 is 12
the lcm of numbers 12and 16 is 4
hcf is divide
lcm is multiply by prime factorization
Eight friends share 64 tickets to the school carnival. Each friend has the same
number of tickets. How many tickets does each friend have?
9
7
6
8
Answer:
Step-by-step explanation:
Select the Number line that shows two opposite numbers Have a sum of 0.
Answer:
B.
Step-by-step explanation:
Using the lines they start and end on,
-1 plus 1 equals 0
Therefore, B. will be your answer!
Sorry this is very blunt, lol
Answer:
therefore B us ur answer
150 times what number divided by 3 would give you 500?
Must be a whole number!
Answer:
10 because if you multiply 500 by 3 you get 1500 and how many times doe 150 go into it...10 times doing it backwards is sometimes easier :)
Step-by-step explanation:
Answer:
150n÷3=500
150n÷3×3=500×3
150n=1,500
150n÷150=1,500÷150
n=10
Plzzzzz give me Brainliest!
wayne's country has a sales tax rate of 5%. How much does mike's car cost before tax if the total cost of the car plus tax is 13,032.60?
A percentage is a way to describe a part of a whole. The cost of the car is $12,412.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that Wayne's country has a sales tax rate of 5%. The total cost of the car plus tax is $13,032.60. Therefore, the total cost of the car can be written as,
The total cost of the car = Cost of the car + Tax on the car
$13,032.60 = Cost of the car + 5% of the cost of the car
Let the cost of the car be represented by x.
$13,032.60 = x + 5% of the x
$13,032.60 = x + 0.05
$13,032.60 = 1.05x
x = $13,032.60 / 1.05
x = $12,412
Hence, the cost of the car is $12,412.
Learn more about Percentages here:
https://brainly.com/question/6972121
#SPJ2
6r +9r - 2r - 13n combine like terms.
Answer:
13r-13n
Step-by-step explanation:
just add 9r+6r get 15r then subtract it by 2r then you get 13r and you can't subtract unlike terms
Answer:
13r-13n
Step-by-step explanation:
6r+9r = 15r
15r-2r = 13r
13r-13n
solve for x. round to the nearest tenth
Step-by-step explanation:
848474u757585857577574urur7uu is the same man I love and love the following ❤ ❤ ❤ is a counting 4x and simplify and q woman in a whole week with the kids is the same man who sometimes lives with his secrets and his problems with the people who are in need to be to the people around the following x will not be allowed for a long term by the end up to be to be done in a whole week of i love u ur hand msome
Find the range of this equation
Answer:
b number
Step-by-step explanation:
Because range is the number of the y component
I need help pls because I am confused.
Answer:
1/8
Step-by-step explanation:
The answer before you simplyify will be 24/4. that = 6
Hey guys I need help what is 361.5 divided by 12
Answer:
180.75
Step-by-step explanation:
The cornfield has 384 rows of corn. If the farmer can harvest 72 ears of corn from each row, how many ears of corn will he have? *
a.456
b.27,648
c.312
d.5 R 3
Answer:
b. 27,648
Step-by-step explanation:
Just multiple the two numbers together
384 x 72 = 27,648