Answer:
There is no separation (distance) between the first y-intercept (6) and the second (6).
Step-by-step explanation:
We'll assume that the table shows points on a straight line.
If we go from x = 2 to x = 8 (an increase of 6), the corresponding y values go from y =2 to y = -10 (a decrease of 12). Thus, the slope of the line represented by the table is
m = rise / run = -12/6, or m = -2.
We need to find the equation of the line represented by the table, so that we can know the y-intercept. Start with y = mx + b and substitute -2 for m:
y = -2x + b. We arbitrarily choose an ordered pair from the table, such as (11, -16). Here we substitute 11 for x and -16 for y:
-16 = -2(11) + b, or
-16 = -22 + b, which yields b = 6.
This is the same y-intercept as the '6' in the given f(x) = -2x + 6. So: There is no separation (distance) between the first y-intercept (6) and the second (6).
a
Blue and green dye are mixed in a 7:4 ratio to make 44 litres
of a teal-coloured dye. A further 8 litres of green dye are added
to the mixture. What is the new ratio of blue to green dye in its
simplest form?
Answer:
7:4 is the new ratio.
Step-by-step explanation:
set a proportion; (8+4 = 12)
7 x
-- = --
4 12
12/4 = 3
3 x 7 = 21
x = 21
new ratio: 21:12
simplifies: 7:4 (division of 3)
The new ratio of blue to green dye in its simplest form is 7/6.
Blue and green dye are mixed in a 7:4 ratio to make 44 litres of a teal-coloured dye. A further 8 litres of green dye are added to the mixture. What is the new ratio of blue to green dye in its simplest form to be determined.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Calculating the fraction of blue and green in the teal dye,
Blue dye = 7/(4+7) * 44
Blue dye = 7/11 * 44
Blue dye = 28 liters
Similarly,
Green dye = 7/12*44
Green dye = 16
Now
Blue dye = green dye = 28+16 = 44
Now gree dye is increase by 8 liters
new volume fraction of green dye = 16+8
= 24
a fraction of blue dye remains the same,
the ratio of blue dye to new green dye in teal colored.
= 28/24
=7/6
Thus, the new ratio of blue to green dye in its simplest form is 7/6.
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What is the total surface area of a cylinder with a diameter of 10.8 and a height of 2.6?
Answer:
271.433606 (in, cm, or whichever unit)
Step-by-step explanation:
To find the areas of the ends of the cylinder, the circles, you would use the formula:
2(π * r²)
The diameter is twice the length of the radius so to find the radius, you would divide the length of the diameter in half. So with a diameter of 10.8 units, it would become 5.4 units.
2(π * 5.4²) = 183.217684
To find the surface area of the rectangle of the cylinder, you would multiply the circumference of the base of the cylinder by the height. The formula to find the circumference is 2πr. The circumference would be 33.9292007 units. 33.9292007 * 2.6 = 88.2159218.
Then add the areas to find the total.
183.217684 + 88.2159218 = 271.433606
Find the slope of the line through each pair of points.
(-10,8), (5,-5)
Answer:
-0.86667
Step-by-step explanation:
m = -13 / 15 = -0.86667
Evaluate the formula z=
x−μ
σ
n when μ=119, n=29, x=116, and σ=9.
Work Shown:
[tex]z = \frac{\overline{x}-\mu}{\frac{\sigma}{\sqrt{n}}}\\\\z = \frac{116-119}{\frac{9}{\sqrt{29}}}\\\\z \approx \frac{-3}{\frac{9}{5.3851648}}\\\\z \approx \frac{-3}{1.671258}\\\\z \approx -1.795055\\\\z \approx -1.795\\\\[/tex]
11x-20=4x+15
what does x equal
Answer:
x = 5
Step-by-step explanation:
11x - 20 = 4x + 15
Add 20 to both sides
11x = 4x + 15 + 20
11x = 4x + 35
Subtract 4x from both sides
11x - 4x = 35
7x = 35
Divide both sides by 7
x = 35/7
x = 5
6m squared+ 7n= what?
Answer:
(6+7)
Step-by-step explanation:
о
3. Aspect Ratios (Tires)
If you have changed the tires on your car, the original diameter is 21 inches. to a new diameter of 25.2 inches,
how fast are you actually going if your speedometer is reading 53 mph?
a
44.2 mph
b. 63.6 mph
c. 60.8 mph
d. 53 mph
A scale drawing of an elephant shows the animal as 6 inches high and
10.8 inches long. The scale used for the drawing was 3 in..5 ft.
What are the height and length of the actual elephant?
Height:
feet
Length:
feet
Step-by-step explanation:
3 in to 5 ft
so, one basic unit in the drawing is in fact 3 inches.
how many base units fit into the numbers ? these factors need then to be multiplied with the base units of 5 ft for reality.
6 inches high
6 / 3 = 2
so, the elephant is 2 units high, which means in reality 2×5 = 10 ft high.
10.8 inches long
10.8 / 3 = 3.6
so, the elephant is 3.6 units long, which means in reality 3.6×5 = 18 ft long.
what skills are needed to learn derivatives in math
Answer:
smart
be smart
A rope 64 m long is cut into 3 pieces. The second piece is 3 times as long as
the first piece. The third piece is 4 times as long as the second piece. Find
the length of each piece of rope.
Answer:
rope 1=4m ,rope2=12m ,rope3=48m
Step-by-step explanation:
let the first number be y .second be 3y.third be 4(3y).y+3y+4y=64
after adding use substitution.
What is meant by permutations ?
Answer:
A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters. Common mathematical problems involve choosing only several items from a set of items with a certain order.
Answer:
Permutations mean each of several possible ways in which a set or number of things can be ordered or arranged.
Step-by-step explanation:
write the ratio in simplest form 30 in. to 1ft
Raymond frequently dined at his favorite restaurant, Hungry Hippo. At his most recent visit, he paid his bill. If the bill had been half as much, he would have gotten three times as much change. If the bill had been two dollars more, Raymond would have gotten only half as much change as he actually did get. How much was Raymond’s change?
Raymond's change was $ 4.
Since Raymond frequently dined at his favorite restaurant, Hungry Hippo, and at his most recent visit, he paid his bill, and if the bill had been half as much, he would have gotten three times as much change, while if the bill had been two dollars more, Raymond would have gotten only half as much change as he actually did get, to determine how much was Raymond's change the following calculation must be performed:
1 / 2X = 3Y X + 2 = 1 / 2Y X = Y 2 = 1 / 2Y Y = 2 x 2 Y = 4
Therefore, Raymond's change was $ 4.
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Simplify the expression. -8n - 2n
Answer:
-10n
Step-by-step explanation:
To simplify, you add like terms so by looking at the problem you can see the 8 and the 2 both have an n after, so you can combine them.
so negative 8 minus 2 = -10 and since there are like terms you add the n making the answer -10n
If it was -8n -2 you could not simplify it since the 2 is single and without the same letter
Same with -8n - 2p because it is not the same letter
Two friends, Gabriel and Hudson, had just bought their first cars. Gabriel uses 10 gallons of gas to drive 339 miles in his car. The table below represents the number of miles, yy, that Hudson can drive his car for every xx gallons of gas.
How much farther can Gabriel's car travel on one gallon of gas than Hudson's car?
Answer- 15.8 Miles
Explanation photo was given above.
write the birds an order from shortest egg to longest egg
canda goose 3 2/5 Robin 3/4 turtle dove 1 1/5 raven 1 1/9
Answer:
roben,dove,raven ,goose
Step-by-step explaunation:
you need to change them to the same denominator *first*
Answer:
Robin, Raven, Turtle dove, Canada goose.
Step-by-step explanation:
We are given the size of the eggs.
Canada goose: 3 2/5 Units = 17/5 UnitsRobin: 3/4 UnitsTurtle dove: 1 1/5 Units = 6/5 UnitsRaven: 1 1/9 Units = 10/9 UnitsNow, we need to put the sizes of eggs in ascending order.
=> [tex]\frac{17}{5},\frac{3}{4} ,\frac{6}{5} , \frac{10}{9}[/tex]
Step 1: Make the denominators same.
=> [tex]\frac{17}{5},\frac{3}{4} ,\frac{6}{5} , \frac{10}{9}[/tex]
=> [tex]\frac{612}{180} ,\frac{135}{180} ,\frac{216}{180}, \frac{200}{180}[/tex]
Step 2: Order these egg sizes in ascending order.
=> [tex]\frac{612}{180} ,\frac{135}{180} ,\frac{216}{180}, \frac{200}{180}[/tex]
=> [tex]\frac{135}{180},\frac{200}{180},\frac{216}{180},\frac{612}{180}[/tex]
Step 3: Match the sizes of the eggs with the bird.
Robin, Raven, Turtle dove, Canada goose.
Final Answer: So, after working on this problem, we can conclude that the ascending order of bird's eggs size is:
Robin, Raven, Turtle dove, Canada goose.
Hoped this helped.
Hector watched
1
4
of a movie in the morning, and he watched some more at night. By the end of the day, he still had
2
3
of the movie left to watch. How much of the movie did Hector watch at night?
Answer:
how watched 3/4 of the movie
Step-by-step explanation:
I know this because 2 is more then half of 3 and 3 is more then half of 4 so you can come to a conclusion that he watched a total of 3/4 and 2/4 at night.
P.S when ever using a fraction when typing like 1/4 instead of doing
1
4
do 1/4
Ryan earned $2400 a month. He recieved a raise, which increased his monthly pay to $2700. Did Ryan's pay increase or decrease? By how much?
Answer:
Ryan's pay increased by $300.
Step-by-step explanation:
Answer:
His pay increased by $300
Step-by-step explanation:
2,700-2,400
=300
Which statement about liters and milliliters is true?
2) There are 1,000 liters in a milliliter.
» There are 100 milliliters in a liter.
(1) There are 1,000 milliliters in a liter.
There are 100 liters in a milliliter.
Answer:
There are 1,000 mL in a L
Step-by-step explanation:
All the other answers are wrong
Mary can swim 3 laps in 6
minutes. Use an equivalent ratio
to determine how many laps
Mary can swim in 18 minutes.
How many laps?
Answer:
9 laps
Step-by-step explanation:
Set up a proportion
3 laps / 6 minutes = x [which represents laps]/18 minutes Cross multiply
6*x = 3 * 18 Combine
6x = 54 Divide by 6
6x/6 = 54/6
x = 9
Complete the equation line through (1,4) and (2,2) use exact numbers
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.50 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.
I need help asap
With my math homework if any one can help let me know
Answer:
whats the question?
Step-by-step explanation:
b)
Solve the system by substitution.
2x – 6y = –24
x = 5y – 22
Answer:
Solution: 2x-6y divided by -24
2x=-24(-6y)
2x=6y-24
x=(6y-24) divided by 2
x=(6y-24)x 1/2
x=6y x 1/2 -24 x 1/2
x=3y-24x1/2
x=3y-12
Answer number three and four please
Answer:
Yes (both)Step-by-step explanation:
Let's verify using Pythagorean:
#3 1² + 1² = (√2)² ⇒ 1 + 1 = 2 ⇒ 2 = 2, TRUE#40.3² + 0.4² = 0.5² ⇒ 0.09 + 0.16 = 0.25 ⇒ 0.25 = 0.25, TRUEkate has $2.95 in quarters and nickels and the total number of ocins is 23 how many quarters and how many nickels does kat have
Answer: 9 quarters and 14 nickels
Step-by-step explanation:
9*25=225
14*5=70
225+70=295
The total number of nickels is 14 and the total number of quarters is 9 and this can be determined by forming the linear equation.
Given :
kate has $2.95 in quarters and nickels and the total number of coins is 23.
The following steps can be used in order to determine the total number of quarters and nickels Kat have:
Step 1 - Let the total number of quarters be 'x' and the total number of nickels be 'y'.
Step 2 - Remember one quarter is equal to $0.25 and one nickel is $0.05.
Step 3 - The total amount of money Kat has:
0.25x + 0.05y = 2.95 --- (1)
Step 4 - Total number of coins is given by:
x + y = 23
x = 23 - y --- (2)
Step 5 - Substitute the value of 'x' in equation (1).
0.25(23 - y) + 0.05y = 2.95
5.75 - 0.25y + 0.05y = 2.95
2.8 = 0.20y
y = 14
Step 6 - Now, substitute the value of 'y' in equation (2).
x = 23 - 14
x = 9
So, the total number of nickels is 14 and the total number of quarters is 9.
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Cual es el signo???? AYUDAAAA
how many hours will it take me to get 777,777,777 cookies if i get 266,560 cookies per second
Answer:
approximately 43 - 44 minutes exact
Answer:
It would take you 2917 hours.
Step-by-step explanation:
Do 777,777,777 divided by 266,560.
2917 (with a a lot of other numbers).I hope this helped at all.
Heyyyyyy , Can you please help me with this
Answer:
19 houses
Step-by-step explanation:
90*(2/5)=36
90-36=54
54*(2/3)=37
54-37=19
Please help!!!!!!!!!!!
Answer:
10. right triangle 11. obtuse triangle 12. right triangle 13. right triangle
Step-by-step explanation: