Graph 16x+8y=24 on a coordinated plane?
Answers
Answer:
To find the x-intercept, substitute in 0 for y and solve for x .To find the y-intercept, substitute in 0 for x and solve for y . x-intercept(s): ( 3/2, 0) y-intercept(s): ( 0 , 3 )
Related Questions
What is the value for x?
А=73
B=(6x + 4)
C=(8y-7)
X=?
Answers
Answer:
x = 5
Step-by-step explanation:
The base angles ,A and C are equal
A = C = 73
The sum of the angles of the triangle are 180
A+C+B =180
73+73 + 6x+4=180
6x+150=180
Subtract 150 from each side
6x+150-150=180-150
6x = 30
Divide by 6
6x/6 = 30/6
x = 5
Megan and her 5 friends have ordered food in Door dash for their movie
night. Their total bill for delivery is $129.60 including the tax and the tip. If
they decided to split the bill equally, how much will each of them share?

Answers
together, katya and mimi have 480 pennies in their piggy banks. after katya loses 1/2 and mimi losses 2/3of her pennies, they have an equal number of pennies left. how many pennies did they lose altogether?
Answers
The number of pennies they lose altogether is 288 pennies.
How to find the number of pennies they lost together?
Together, Katya and Mimi have 480 pennies in their piggy banks.
Therefore, there total amount of pennies is 480.
After Katya loses 1/2 of her pennies and Mimi loses 2/3 of her pennies, they have an equal number of pennies left.
Therefore,
let
x = number of pennies Katya have
y = number of pennies Mimi have
Hence,
x + y = 480
x = 480
Katya pennies left = x - 1 / 2x = 1 / 2x
Mimi pennies left = y - 2 / 3 y = 1 / 3 y
1 / 2 x = 1 / 3 y
2y = 3x
y = 3 / 2 x
Substitute the value in equation(i)
x + 3 / 2 x = 480
2.5x = 480
x = 480 / 2.5
x = 192
Therefore,
192 + y = 480
y = 480 - 192
y = 288
The number of pennies they lose can be calculated as follows;
Katya losses = 1 / 2 × 192 = 96
Mimi losses = 2 / 3 × 288 = 192
Therefore, they lost 96 + 192 = 288 pennies altogether.
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It takes Jenny 16 minutes to walk her dogs 4 blocks. How many minutes does it take her to walk 1 block? Find the unit rate by using what you know about ratios.
Answers
Answer:
16/4 = 4
1 block = 4 minutes
4 blocks = 16 minutes
to put this into a ratio it would be 1:4
using the rule y= 7 x-5,find the value of y when x is 3
Answers
Answer:
16
Step-by-step explanation:
If x = 3, then all we must do is substitute.
y=7(3)-5
y= 21 -5
y= 16
---
Hope I helped :)
Work out the height of this triangle with base, b = 8.2mm and area, A = 227.14mm2.
Answers
Answer: the height of this triangle is 55.4 mm
Step-by-step explanation:
\(\displaystyle\\Area\ of\ a\ triangle:\ A =\ \frac{ah}{2} \\\\Hence,\\\)
Multiply both parts of the equation by 2:
\(2A=ah\)
Divide both parts of the equation by a:
\(\displaystyle\\\frac{2A}{a} =h\\\\Thus,\ h=\frac{2A}{a} \\\\h=\frac{2(227.14)}{8.2} \\\\h=\frac{454.28}{8,2} \\\\h=55.4\ mm\)
What is the final elevation if a. A bird starts at 20 m and changes 16m? b. A butterfly starts at 20 m and changes -16m? c. A diver starts at 5 m and changes -16m? d. A whale starts at -9 m and changes 11 m? e. A fish starts at -9 meters and changes -11 meters?
Answers
Answer:
A.36m
C.-11m
D.2m
E.20m
Step-by-step explanation:
Sorry I forgot b
The final elevation of the given animals is as follows 1)Bird = 36m 2) butterfly = 4m 3) diver = -11m below sea level 4) whale = 2m 5) fish= -20 m
What is the rule for summing positive and negative numbers?To get the sum of a negative and a positive number, use the sign of the larger number and subtract. For example: (–7) + 4 = –3. 6 + (–9) = –3.
Given here,1) A bird starts at 20 m and changes 16m in a positive direction therefore net elevation is 20 + 16 = 36m
2) A butterfly starts at 20 m and changes -16m, thus again net elevation is
20-16 = 4m
3) A diver starts at 5 m and changes -16m, the net depth of the diver below sea level is 5+(-16) = -11m
4) A whale starts at -9 m and changes 11 m in the positive direction then net depth is -9+11 = 2m
5) A fish starts at -9 meters and changes -11 meters in the negative direction thus net depth is = 9-11= -20m below sea level
Hence these are the final answers.
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At a restaurant the ratio of kids meals sold to adult meals sold was 7 : 3. If there were 28 kids meals sold, how many adult meals were sold?
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7 x 4 = 28
3 x 4 = 12
also if you simplify 28:12 you get 7:3
8(1 + 3k)
What is this answer
Answers
Answer:
8+24k
8×1=8
8×3=24
8+24k is the answer
8 x 3k = 24k
Answer is
8 + 24k
graph each line and write the equation of line in the slope-intercept form : passes through the point (2,-4) with y intercept (0,-2)
Answers
Answer: f(x) = -1 x - 2
Step-by-step explanation:
y=mx+b
-replace the x and y with the coordinates of the y-intercept and solve for b.
-2 = m(0)+b
-2 = b
y = mx + (-2)
- replace the x and y with the other given point and solve for m.
-4 = m(2) - 2
m = - 1
Equation of the line : y = -1 x -2
i roll 5 6-sided dice. (each die is a different color, so i can tell them apart.) how many different ways are there for me to have 4 dice come up the same number and 1 die come up a different number?
Answers
There are probability of total of 5 x 6 = 30 ways to roll 4 dice with the same number and 1 die with a different number in this case.
To calculate the number of ways to roll 4 dice with the same number and 1 die with a different number, we need to consider two cases: the die with the different number can either be the first die or one of the other four.
If the die with the different number is the first die, then there are 6 choices for its value. The remaining 4 dice must all have the same value, which means there is only 1 choice for their value. Therefore, there is a total of 6 ways to roll 4 dice with the same number and 1 die with a different number in this case.
If one of the other four dice has a different number, then there are 5 choices for which die will have the different number. There are also 6 choices for the value of that die.
The remaining 3 dice must all have the same value, which means there is only 1 choice for their value. Therefore, there are a total of 5 x 6 = 30 ways to roll 4 dice with the same number and 1 die with a different number in this case.
Adding up the two cases, we get a total of 6 + 30 = 36 ways to roll 5 dice with 4 dice having the same number and 1 die having a different number.
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The path r(t)=(t) i + ( + 7) ; describes motion on the parabola y=x² + 7. Find the particle's velocity and acceleration vectors at t= 1, and sketch them as vectors on the curve. The velocity vector a
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The velocity vector points in the direction of the tangent line to the curve at t=1, and the acceleration vector points in the direction of the curvature of the curve at that point.
We can find the velocity vector by taking the derivative of r(t):
v(t) = r'(t) = i + 2t j
At t = 1, the velocity vector is v(1) = i + 2j.
To find the acceleration vector, we take the second derivative of r(t):
a(t) = r''(t) = 2j
At t = 1, the acceleration vector is a(1) = 2j.
To sketch these vectors on the curve, we first plot the point r(1) = i + 8. Then, we draw the velocity vector i + 2j starting from this point, and the acceleration vector 2j starting from the same point.
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What is the slope of the line that goes through points (-1,8) and (3,-4)?
Answers
\(slope=\dfrac{y2-y1}{x2-x1}\)
Label the coordinates:
(-1, 8) (3, -4)
point 1 point 2
\(slope=\dfrac{-4-8}{3-(-1)}\)
\(slope=\dfrac{-12}{4}\)
\(\fbox{slope = -3}\)
Answer:
Below
Step-by-step explanation:
Slope , m is defined as (y1-y2)/(x1-x2)
it does not matter which point you call one and which you call two ...
m = ( 8 - - 4) / (-1 -3) = 12/ (-4) = - 3 slope
PLEASE HELP! An angle's measure is equal to 24 less than its complement. Find the measure of the angle.
Answers
The Larger complement angle is 57 degrees and Small angle is 33 degrees.
Given about the complement angles.
Complement angles means, the two angles will add up to 90 degrees.
Then angles is x+(x-24)=90
⇒2x=90+24
⇒2x=114
⇒x=57
So, the larger angle is 57 degrees.
small angle is 90-57=33 degrees.
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Air-USA has a policy of booking as many as 17 persons on an airplane that can seat only 15. (Past studies have revealed that only 83% of the booked passengers actually arrive for the flight.)
Find the probability that if Air-USA books 17 persons, not enough seats will be available.
prob = _______
Is this probability low enough so that overbooking is not a real concern for passengers if you define unusual as 5% or less?
yes, it is low enough not to be a concern
no, it is not low enough to not be a concern
What about defining unusual as 10% or less?
yes, it is low enough not to be a concern
no, it is not low enough to not be a concern
Answers
The probability of not enough seats being available when Air-USA books 17 persons is 0.17. This probability is not low enough to alleviate concerns for passengers, whether we define unusual as 5% or 10%.
The probability of not having enough seats available when Air-USA books 17 persons can be calculated by considering the percentage of booked passengers who actually arrive for the flight. Since past studies reveal that only 83% of the booked passengers actually arrive, we can calculate the probability as follows:
Probability = 1 - Percentage of passengers who arrive
= 1 - 0.83
= 0.17
Therefore, the probability that not enough seats will be available is 0.17.
To determine if this probability is low enough to not be a concern for passengers, we need to compare it with the defined threshold of "unusual" events. If we define unusual as 5% or less, then the probability of 0.17 is higher than the threshold. Therefore, if we define unusual as 5% or less, the probability is not low enough to not be a concern for passengers.
However, if we define unusual as 10% or less, then the probability of 0.17 is still higher than the threshold. Therefore, even with a higher threshold, the probability is still not low enough to not be a concern for passengers.
In conclusion, regardless of whether we define unusual as 5% or 10%, the probability of not enough seats being available is not low enough to alleviate concerns for passengers.
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Is 313756 divisible by 9?
Answers
Answer:
No.
Step-by-step explanation:
313756 is not divisible by 9 .
Easy way to find it out. - 313756
3+1+3+7+5+6 = 25
25 is not divisible by 3...so , it is not divisible by 9 too
Hope it helps you
Lucia draws a square and plots the center of the square. She claims that any rotation about the center of the square that is a multiple of 45" will carry the square onto itselt Which statement best describes Lucia's claim? a. Lucia's claim is incorrect since not all rotations that carry a square onto itself are multiples of 45
b. Lucia's claim is incorrect slace not all rotations that are multiples of 45' carry a square onto itself c. Lucia's daim is correct since any rotation that is a multiple of 45 canles a square onto tselt d. Lucia's calm is correct since any rotation that comes a square onto itself is a multiple of 45
Answers
The statement that best describes Lucia's claim is at option (b), that is " Lucia's claim is incorrect since not all the rotations that are multiples of 45° carry a square onto itself".
What is the rotational symmetry of a square?Two halves of the square when a mirror line is drawn resemble the same or similar, then that square is said to be in symmetry. When the square is rotated about an angle, then it remained the same as the original shape, then that square is said to be the rotational symmetry of a square.Rotation of the given square and its symmetry according to the rotation:It is given that, Lucia draws a square and plots the center of the square.
Lucia claims that " any rotation about the center of the square that is a multiple of 45° will carry the square onto itself".
To verify this claim, we need to construct a square (ABCD) as shown in the figure.
When the square ABCD is rotated about 45° where we can it is 1 × 45°, the square formed is A'B'C'D' is not the same as the actual one. So, they are not in symmetry after the rotation n this case.
If we rotate again, that is for the second multiple of 45° (2 × 45°), we get a square A''B''C''D''. But, now the square is similar to the actual one. So, they are in symmetry.
This means we can say that, not for all the multiples of 45° rotation, the square does not carry onto itself.
Therefore, we can conclude that "Lucia's claim is incorrect since not all rotations that are multiples of 45' carry a square onto itself".
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2. how are <1 and <2 related ?
Answers
Answer: vertical angles
Step-by-step explanation:
find the number that makes the ratio equivalent to 3:5._:60
Answers
Answer:
36
Explanation:
Given the ratio:
\(3\colon5\)Let the number = x
Then:
\(\frac{3}{5}=\frac{x}{60}\)Next, solve for x:
\(\begin{gathered} 5x=3\times60 \\ x=\frac{3\times60}{5} \\ x=36 \end{gathered}\)Thus, the number that makes the ratio equivalent to 3:5 is 36.
A path is made of red tiles and blue tiles.
of the tiles are red.
5
a) Write down the ratio of red tiles to blue tiles in its simplest form.
Answers
The ratio of red tiles to blue tiles in its simplest form is 1/4 or 1 : 4.
It is given that the path is made of red tiles and blue tiles. 1/5 of the tiles are red.
It is required to find the ratio of red tiles to blue tiles in its simplest form if there is a total of 85 tiles.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have 1/5 of the tiles are red.
Total tiles = 85
Total red tiles \(=\rm 85\times \frac{1}{5}\)
Total red tiles = 17
Total blue tiles = 85 - 17
Total blue tiles = 68
The ratio of red tiles to blue tiles :
\(=\frac{17}{68} \\\\=\frac{1}{4}\) ( divided on denominator and numerator by 17)
Thus, the ratio of red tiles to blue tiles in its simplest form is 1/4.
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Melanie has 3 posters she wants to hang on the wall. How many different ways can the posters be arranged in a row?
Answers
Answer:
6
Step-by-step explanation:
Melanie has 3 posters she wants to hang on the wall. so, the number of ways f hang the posters will be gotten by the factorial method is 6.
How does factorial work?Factorial of a positive integer is the result of the repeated multiplication of all the integers from 1 to that considered integer.
Thus, if we want to take factorial of 'n',(n being a positive integer), then:
\(n! = 1 \times 2 \times \cdots \times (n-1) \times n\)
The points are to be arranged in the room without any definite pattern or configuration.
Since there is no definite pattern or configuration to hang the posters, the number of ways f hang the posters will be gotten by the factorial method.
A number of ways = 3!
= \(3\times 2\times 1\\\\ 6\\\)
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Baily and Riley are standing 5250 feet apart on a straight, horizontal road. They see a hot air balloon between them directly above the ground. The angle of elevation from Baily is 60° and from Riley is 75°. Find the height of the balloon
Answers
If Baily and Riley are standing 5250 feet apart on a straight, horizontal road. They see a hot air balloon between them directly above the ground and the angle of elevation from Baily is 60°. The height of the balloon is: 6,210.8ft.
What is height?Height simply means how long an object it from the base of the object to the top of the object.
Let h represent the height
x/sin 75° = 5250 / [180° - (60°+ 75°)]
x/sin 75° = 5250 /45°
x = 5250 sin 75° / 45°
x = 5250 × 0.96592582628/0.70710678118
x = 7171.63337
Solving h ( height)
Sin60°=h/x
Sin60°=h / 7171.63337
h= 7171.63337 sin60°
h = 7171.63337 × 0.86602540378
h = 6,210.8ft
Therefore we can conclude that the height is 6,210.8ft.
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Leo flips a paper cup 50 times and records how the cup landed each time. The table below shows the results. Based on the results, how many times can he expect the cup to land on its side if it is flipped 1,000 times?
Answers
Answer:440
Step-by-step explanation:
Let's say you have 13 marbles in a bag. Seven marbles are big, 6 are small. What is the probability of pulling out one big marble, replacing it, then pulling out a small marble?
Answers
Answer:
7/26
Step-by-step explanation:
First, find the probability of pulling out a big marble.
Since there are 7 big marbles, and 26 in total, the probability is 7/26
Now, find the probability of pulling out a small marble after the replacement.
There are 6 small marbles and 26 in total, so the probability is 6/26. This can be simplified by dividing each side by 2. This will get you 3/13
To find the probability of both of these happening, multiply the probabilities by each other:
(7/26) x (3/13)
= 7/26
So, the probability is 7/26
3. Assume that a small open economy can be described as follows: Y=C+I+G + NX Y = F(L,K) = Y = 5000 C = 1000+ 0.5(Y - T) I = 2000 20r G = G = 1600 T = T = 1000 r = r* = 6% Please note that economists are treating interest rates as whole numbers, not decimals, e.g., if the interest rate is 3%, then r = 3. a. What is the trade balance? Is the country experiencing a trade surplus, a trade deficit, or balanced trade? Explain. b. Is the country borrowing or lending money on the world financial markets? If so, how much? Explain.
Answers
The country is borrowing 1600 units of money on the world financial markets.
a. To determine the trade balance, we need to calculate the net exports (NX) using the given information. The formula for net exports is:
NX = Y - (C + I + G)
Given:
Y = 5000
C = 1000 + 0.5(Y - T) = 1000 + 0.5(5000 - 1000) = 1000 + 0.5(4000) = 1000 + 2000 = 3000
I = 2000
G = 1600
T = 1000
Plugging these values into the net exports equation:
NX = 5000 - (3000 + 2000 + 1600) = 5000 - 6600 = -1600
The trade balance is -1600. A negative trade balance indicates a trade deficit, which means that the country is importing more goods and services than it is exporting. In this case, the country is experiencing a trade deficit.
b. To determine whether the country is borrowing or lending money on the world financial markets, we need to examine the relationship between domestic investment (I) and national saving (S). If domestic investment exceeds national saving, the country is borrowing money. If national saving exceeds domestic investment, the country is lending money.
The formula for national saving (S) is:
S = Y - C - G
Plugging in the given values:
S = 5000 - 3000 - 1600 = 400
The national saving is 400.
Since investment (I) is 2000, which is greater than national saving (400), the country is borrowing money on the world financial markets. The amount being borrowed is the difference between investment and national saving:
Borrowing = I - S = 2000 - 400 = 1600
Therefore, the country is borrowing 1600 units of money on the world financial markets.
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what is the equation of the line in slope form with slope 2/5ths and passes through the point (-4,-7)
Answers
Answer:
2x - 5y= 27.
Step-by-step explanation:
Using the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Here m = 2/5 and (x1, y1) = (-4, -7):
y - (-7) = 2/5(x - (-4))
y + 7 = 2/5x + 8/5
y = 2/5x + 8/5 - 7 Multiply through by 5:
5y = 2x + 8 - 35
5y = 2x - 27
2x - 5y = 27.
A price decreases from $986 to $828.24. What is the percent change?
Answers
Answer:
-16% change
Step-by-step explanation:
The formula for a percent decrease is \(\frac{original-new}{original}\cdot100\). The original value was 986, and the new value is 828.24, so we can substitute inside the equation.
\(\frac{986-828.24}{986} \cdot100\\\\\frac{157.76}{986} \cdot100\\\\0.16\cdot100\\\\16\)
So the percent change is -16%.
Hope this helped!
Can someone Please help me on this easy math problem
Answers
What is the approximate distance between the points (-5, 1) and (-2,3) on a
coordinate grid?
O A. 3.61 units
B. 3.32 units
O c. 2.23 units
O D. 7.81 units
Answers
Answer:
b
Step-by-step explanation:
Mr. Ramirez informs the students that some of the trees they plant will not survive their first year, so the class will take precautions to monitor the trees to give them the best chance of survival.
Abby does some research and finds that, on average, 3 out of every 25 trees planted will die their first year.
What percentage of the trees will survive their first year?
Answers
Answer:
88%
Step-by-step explanation:
Since 25 is 1/4 of 100, you can simply subtract 3 from 25 and then, your answer from that you want to multiply it by 4. Or you can make it into a fraction if that helps you visualize what's going on. It'll be 22 over 25, now multiply both numerator and denominator by 4.