Answer:
(0, 4/3)
Step-by-step explanation:
2x +3y =4
3y =4 -2x
y = 4/3 - 2/3x
y = -2/3x + 4/3
y = -2/3(0) + 4/3
y = 4/3
-----------
or just plug in 0 for x from the start
2(0) + 3y = 4
3y = 4
y = 4/3
Gwen says that the sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4 is Gwen correct explain why or why not
The sum of -1 and 3/4 and 2 and 1/2 is the same as the difference between 2 and 1/2 and 1 and 3/4.
First we will convert the mixed fractions into improper fractions.
-1 and 3/4 = -7/4
2 and 1/2 = 5/2
Sum of -1 and 3/4 and 2 and 1/2 = -7/4 + 5/2 = -7/4 + 10/4 = 3/4
Difference between 2 and 1/2 and 1 and 3/4 = 5/2 - 7/4 = 10/4 - 7/4 = 3/4
As both the values equal to 3/4 , we can say that the sum of -1 and 3/4 and 2 and 1/2 is the same as the difference between 2 and 1/2 and 1 and 3/4.
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Someone please answer this I'm offering all my points.
Cost of 100 grams. Cereal=49p
Pasta=14p
Leah buys 400 grams of cereal and 250 grams of pasta.
Work out the total cost in £
assume that for any given day, the probability of a sunny day is 80%, the probability of getting free pizza is 30%, and the probability of getting free pizza on a sunny day is 35%. a. what is the probability of a less than ideal day (no free pizza and no sun)?
The probability of a less-than-ideal day (no free pizza and no sun) is 0.25
Let us define the events from the example.
Let event A: Sunny day for any given day
event B: Getting free pizza for any given day.
Now, we will translate the word problem into our symbols.
The probability of a sunny day is 80% i.e P(A)=0.8
The probability of free getting pizza is 30% i.e. P(B) = 0.3
The probability of free pizza and a sunny day is 35% .i.e P(A∩B) = 0.35
a)Complement means not happening an event i.e. event A’ : No sunny day for any given day event B’: Not getting day free pizza for any given.
Here dash ( ‘ ) complement.
The probability of a less-than-ideal day
(no free pizza and no sun) is
P(A'∩B') = P(A∪B)'... (De Morgan's Jaw)
De Morgan's law: (A∩B)'= A'∪B'
(A∪B)’ = A'∩B'
P(A'∩B') = 1-P(A∪B) (P(A) = 1-P(A)).
= 1-[P(A) + P(B)-P(A∩B)]
= 1-[0.8+0.3-0.35]
P(A'∩B') = 0·25
The probability of a less-than-ideal day (no free pizza and no sun) is 0.25.
b)To check whether free pizza and sun are independent events or not, let us see when two events are said to be independent.
Two events (A & b) are said to be independent if P(A∩B) = P(A)· P(B)
Let us check whether this property satisfies our case or not.
LHS = P(A∩B)=0.35
RHS= P(A) P(B)
= 0.8 x 0.3
RHS = 0.24.
LHS ≠ RHS
P(ANB) ≠ P(A). P(B) in our case.
Two events A and B are not independent in our case
Sun and free pizza are not independent events.
c)Probability of no free pizza on a sunny day is P(A∩B').
P(A∩B') = P(A) - P(A∩B) = 0.8 0.35
P(A∩B') = 0·45
The probability of no free pizza on a sunny day is 0.45
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i need help on 8 I will provide I bigger picture
Explanation
Step 1
the sum of the internal angles in a triangle equals 180, then
for triangle CDE
[tex]\begin{gathered} rigth\text{ angle+blue angle+yellow angle=180} \\ \text{replace } \\ 90+10+\measuredangle\text{EDC}=180 \\ 100+\measuredangle\text{EDC}=180 \\ \text{subtract 100 }in\text{ both sides} \\ 100+\measuredangle\text{EDC-100}=180-100 \\ \measuredangle\text{EDC}=80 \end{gathered}[/tex]Step 2
as we can see, in poitn c, we have a 180 degrees angle(ACD)
so
[tex]\begin{gathered} \text{red angle+gre}enangle+yellow\text{ angle}=180 \\ \text{replace} \\ 70+\measuredangle BCE+\measuredangle EDC=180 \\ 70+\measuredangle BCE+80=180 \\ 150+\measuredangle BCE=180 \\ \text{subtract 150 in both sides} \\ 150+\measuredangle BCE-150=180-150 \\ \measuredangle BCE=30 \end{gathered}[/tex]I hope this helps you
Look at photo down below for question
The coordinates of the rotated triangle will be (2, - 2) , (3, -8) , (7, 0)
What is translation of graph?Function translation takes a function (and its graph) and, by adding and subtraction, moves the graph around the plane without changing its shape.
Given is a triangle coordinate on x - y plane.
The rule (x, y) → (- x, - y) represents the rotation of a figure by 180 °.
Now, initially the coordinates of the triangle are -
(-2, 2) , (-3, 8) , (-7, 0)
After transforming the graph by the rotation of 180°, the new coordinates will be -
(2, - 2) , (3, -8) , (7, 0)
Plot the coordinates on the graph and you will get the rotated image.
Therefore, the coordinates of the rotated triangle will be (2, - 2) , (3, -8) , (7, 0).
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Solve the inequality for x. Show each step of the solution.
12(x+3)>4x-8
Answer:
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
12x+36>4x−8
Step 2: Subtract 4x from both sides.
12x+36−4x>4x−8−4x
8x+36>−8
Step 3: Subtract 36 from both sides.
8x+36−36>−8−36
8x>−44
Step 4: Divide both sides by 8.
8x/8 > -44/8
Therefore your answer will now equal [tex]x > \frac{-11}{2}[/tex]
[tex]{ \boxed{ \pink{ \sf{x > - \frac{11}{2}}}}}[/tex]
Step-by-step explanation:
The given inequality is, [tex]{ \green{ \sf{12(x + 3) > 4x - 8}}}[/tex]
[tex]{ \star}[/tex]Step 1: Simplify both the sides of inequality.
[tex]{ \green{ \sf{12x + 36 > 4x - 8}}}[/tex]
[tex]{ \star}[/tex]Step 2: Now Subtract 4x from both sides.
[tex]{ \purple{ \sf{12x+36−4x> { \cancel{4x}−8{ \cancel{−4x}}}}}}[/tex]
[tex]{ \purple{ \sf{8x+36>−8}}}[/tex]
[tex]{ \star}[/tex]Step 3: Subtract 36 from both sides.
[tex]{ \blue{ \sf{8x+{ \cancel{36}{ \cancel{−36}}}>−8−36}}}[/tex]
[tex]{ \blue{ \sf{8x>−44}}}[/tex]
[tex]{ \star}[/tex]Step 4: Divide both sides by 8.
[tex]{ \orange{ \sf{ \frac{ \cancel8}{ \cancel8} x > - \frac{ \cancel{44^{ \blue{ \tt{11}}}} }{ \cancel8_{ \blue{ \tt{2}}} }}}} [/tex]
[tex]{ \boxed{ \red{ \sf{x > - \frac{11}{2}}}}} [/tex]
On the scale drawing of a small town, 1 inch equals 15 feet. On this scale drawing, a parking lot measures 4 2/5 in. by 8 3/5 in.
What is the area of the actual parking lot?
_________ square feet.
Answer:
Step-by-step explanation:
4 and 2/5 inches by 8 and 3/5 inches.
60 and 6 feet by 120 and 9 feet.
66 by 129 feet
8514 feet squared
The Pythagorean Theorem
What is the distance between the points (1.7,-1) and (3.2,-1.8)?
Answer:
i hope it was good for you
Solve: -3+12x=-3x+27
Answer:
the answer is 2 and one fourth
Step-by-step explanation:
because the 3s cancel out
please help I need help on how to do it also my videos stopped working
20 shares purchased at $30, means that the initial inversion is 20 times 30 = $600
they are sold for $710, so the difference is 710 - 600 = 110
the commision is 6, so the final gain is 110 -6 =104
profit divided by the inversion:
104/600 = 0.1733
the answer is 17.33 %
Write the equation of the line that passes through the points (3,1)(3,1) and (-7,-1)(−7,−1). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
Answer:
[tex]\textsf{Point-slope form}: \quad y-1=\dfrac{1}{5}(x-3)[/tex]
Step-by-step explanation:
Define the given points:
(x₁, y₁) = (3, 1)(x₂, y₂) = (-7, -1)Substitute the defined points into the slope formula to find the slope of the line:
[tex]\implies \textsf{Slope $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-1}{-7-3}-\dfrac{-2}{-10}=\dfrac{1}{5}[/tex]
Substitute the found slope and one of the points into the point-slope formula:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-1=\dfrac{1}{5}(x-3)[/tex]
Simplify to slope-intercept form, if necessary:
[tex]\implies y-1=\dfrac{1}{5}x-\dfrac{3}{5}[/tex]
[tex]\implies y=\dfrac{1}{5}x+\dfrac{2}{5}[/tex]
FIND THE MEASURE OF EACH ANGLE<1 and <2 form a linear pair and m<2= 52 degrees.
Linear pair angles are the ones that form a straight line, in other words they will form a 180º angle. Therefore if the angle 2 measures 44 degrees we can find the angle 1 by doing as follows:
[tex]\begin{gathered} \measuredangle1+\measuredangle2=180 \\ \measuredangle1+52=180 \\ \measuredangle1=180-52 \\ \measuredangle1=128 \end{gathered}[/tex]The angle one is equal to 128 degrees.
Solve 2x + 32 + x = 17.
x = 5
x = 0.2
x = −0.2
x = −5
Please and thank you.
2x+32+x = 17
Combine 2x and X to get 3x.
3x+32 = 17
Subtract 32 on both sides.
3x = 17−32
Remains 32 of 17 to obtain −15.
3x = −15
Divide both sides by 3.
x = -15/3
Divide −15 by 3 to get −5.
x = −5
The last option is correct.The value of x after solving the given equation 2x + 32 + x = 17, is x = -5, which is the last option.
Given an equation:
2x + 32 + x = 17
It is required to find the value of x after solving or simplifying the equation.
In order to get the value of x, the equation has to be solved in such a way that the terms with the variable have to be placed on one side and the constant terms on the other side.
Consider:
2x + 32 + x = 17
Add x and 2x since they are like terms in variables.
3x + 32 = 17
Subtract 32 from both sides of the equation.
3x = 17 - 32
3x = -15
Divide both sides of the equation by 3.
x = -5
Hence, the value of x is -5.
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what is the answer
5+3=3+5
Answer:
They are equal
Step-by-step explanation:
5+3=8 and 3+5=8
If you are seeking the answer in terms of evaluation, then the answer would be 8 = 8. Both sides of the equation are equal, so in addition to this, the given equation is true.
5 + 3 = 8
3 + 5 = 8
So, if you were to attempt breaking down the equation, you could easily write it as 8 = 8.
Hope this helps!
I need help understanding, how do I solve this?
3 – [–(–1)]
Answer:
3-[1]
3-1
2
Step-by-step explanation:
=//7777/))_+++++++4
a train increased its prices from £663 to £895.05 how much has this increased in a percentage
Answer:
The price has increased 35%
Step-by-step explanation:
GivenInitial price = £663,New price = £895.05.Find the percent increaseFind the amount of increase:
£895.05 - £663 = £232.05Find the percent value of the increase over the initial price:
232.05/663 × 100% = 35%I need help can’t work out the right answer. What is the equation of the sinusoid shown in graph?
1) The general form of a cosine function is:
[tex]y=acos\left(b\left(x-h\right)\right)+k[/tex]2) Let's pick from the graph, the amplitude, the period, the horizontal and the vertical shift.
We can tell that half of the distance between the maximum point and the minimum point is 2
Let's find the period
[tex]P=\frac{2\pi}{\frac{2\pi}{3}}=2\pi *\frac{3}{2\pi}=3[/tex]3) Let's resort to the picture. The only cosine function that has an amplitude of 2 and a period of 3 is C and y=2cos(3x) has a vertical shift =0
A bag contains 3 red, 4blue, 4 yellow, and 5 green marbles only yellow marbles will be added tp the bag. how many yellow marbles should be added to the bag to make the probability of choosing yellow marble 1/3?
Two yellow marbles are added to the bag to make the probability of choosing a yellow marble 1/3 .
There is a bag containing five green marbles, three red marbles, and four blue marbles and four yellow marbles.
The probability that a given event will happen is expressed as a number between 0 and 1 where 0 means there is no chance of the event occurring and 1 means that the outcome is certain.
There are a total of 16 marbles in the bag (5 + 3+ 4+4 = 16). This means that the probability of drawing a marble of a particular color is the number of marbles of that color divided by the total number of marbles in the bag.
Let ‘x’ number of additional yellow marbles be added to the bag.
Then, the required probability will be
(4 + x )/ (16+x ) = 1/3
=> 3(4+x) =16 +x
=> 12+3x = 16+x
=> 2x =4
=> x= 2
Hence, the required number of marbles is 2.
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Prove that (X+2)^2+(X-2)^2=2(x^2+4) for all values of x
Answer:
see explanation
Step-by-step explanation:
consider the left side
(x + 2)² + (x - 2)² ← expand factors using FOIL
= x² + 4x + 4 + x² - 4x + 4 ← collect like terms
= 2x² + 8 ← factor out 2 from each term
= 2(x² + 4)
= right side , thus proven
19. What is the mode of the following numbers?
12, 11, 14, 10, 8, 13, 11, 9
a. 11
b. 10
C. 14
d. 8
Answer:
a. 11
Step-by-step explanation:
What is the mode of the following numbers?
12, 11, 14, 10, 8, 13, 11, 9
a. 11
b. 10
C. 14
d. 8
the mode is 11 because it is the most frequent number in the list.
I am not sure how to find out if the number is an integer or not I don’t need you to answer all those number that are in the pic I want to understand how to figure that out on my own
An integer number is a number that can be written without using a rational component. In other words, if a number can be written without using a fraction, then that number is considered an integer.
For example, let's take the first number:
[tex]-\frac{64}{8}[/tex]This number is written as a fraction. But, this is also equivalent to:
[tex]-\frac{64}{8}=-8[/tex]Since it can also be written without making use of a fraction then this number is an integer.
Also, there are numbers that are written in decimal form. For example:
[tex]-8.92[/tex]These types of numbers are not integers.
A data set includes the following numbers: eighteen over 5, two and four fifths, 97%, and 1.74. Part A: What is the order of the numbers from least to greatest? Write your answer using the numbers in their original form. (2 points) Part B: Did you use estimation or rewrite the numbers in equivalent forms? Please explain your answer. (2 points)
Answer:the answer is a
Step-by-step explanation:
evaluate (8+2)³-6 pla help me thanks
Answer:
994
Step-by-step explanation:
work inside the parenthesis first. 8+2 = 10 then raise 10 to the power of 3 which is 1000. subtract 6 from 1000 & you get 994
Answer:
994
Step-by-step explanation:
PEDMAS
Do the math inside the parentheses first
8+2 = 10 Now do the exponent 10^3 = 1000 Now subtract 6 = 994
BRO PLS HELP, I HAVE LIKE 20 MISSING ASSIGNMENTS
It should be easy lol
Answer:
B C and D
Step-by-step explanation:
Answer:
2π=6.2831853071795864769252867
Fighting fires is a profession that is really heating up. The average firefighter works 160 hours a month and make $4,090 for the month. If you only work 32 hours in a week, how much will you make?
Working 32 hours a week will fetch you $818
How to calculate the amount you will make?From the question, the given parameters are:
Number of hours = 160
Earnings in a month = $4090
Start by calculating the unit rate
This is calculated using the following unit rate formula
So, we have
Unit rate = Earnings in a month/Number of hours
Substitute the known values in the above equation
So, we have
Unit rate = 4090/160
Evaluate the quotient
Unit rate = 25.5625
For 32 hours, the total earnings is
Total = Unit rate x Number of houts
So, we have
Total = 25.5625 x 32
Evaluate
Total = 818
Hence, you will earn $818 weekly
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what is the answer for n? 5i + 7i =n
Answer: [tex]n=12i[/tex]
Step-by-step explanation:
Combine like terms.
is 1.030030003 a whole number a natural number an integer a real number a rational number or irrational number
Real numbers are numbers that are continous on the number line. They include positive and negative numbers. They can be integers, natural numbers, rational or irrational numbers.
In this exercise the number 1.030030003 is a real number because it can be found on the real number line
It is also a rational number because it is a repeating decimal
9TH GRADE MATH HELPPPP
Answer:
The equation in slope-intercept form is:
[tex]y=\frac{1}{3}x+3[/tex]
So the second option is the correct one.
Step-by-step explanation:
Step 1: Identify the gradient
The perpendicular line's equation is given as:
[tex]y=-3x+4[/tex]
This equation is in the form of:
[tex]y=mx+b[/tex]
Upon comparing the [tex]x[/tex] components of both equations, we get[tex]-3x=mx\\\text{Remove the}~ x~ \text{from both sides:}\\-3=m\\m=-3[/tex]
So, the gradient of this 'reference' equation is -3.
The equation we need to find is perpendicular to this 'reference' equation.
So, its gradient should be the negative reciprocal of the gradient of the 'reference' equation.
The negative reciprocal of -3 is:
[tex]-\frac{1}{(-3)}\\=\frac{1}{3}[/tex]
So, the gradient of our equation is [tex]\frac{1}{3}[/tex].
Step 2: Create the equation:
The equation crosses the x-axis at -9, which means its y-coordinate is 0 (at x-axis, y=0) ,so its coordinate is [tex](-9,0)[/tex].
The formula for an equation is:
[tex]y-y_{1}=m(x-x_{1})[/tex]
The coordinate [tex](x_{1},y_{1})[/tex] is [tex](-9,0)[/tex], and the gradient ([tex]m[/tex]) is [tex]\frac{1}{3}[/tex].
Substitute the values into the equation:
[tex]y-y_{1}=m(x-x_{1})\\y-0=\frac{1}{3}(x-(-9))\\\\\text{Simplify}\\y=\frac{1}{3}(x+9)[/tex]
[tex]\text{Simplify further}\\y=\frac{1}{3}x+3[/tex]
Since, the slope-intercept form is:
[tex]y=mx+b[/tex]
We already have our equation in the slope-intercept form.
a bag contains 275 marbles. some are red and the rest are black. there are 24 red marbles for every black marble. how many red marbles are in the bag?
There are 264 red marbles in a bag.
What is Marbles?
A marble is a tiny, sphere-shaped object that is frequently fashioned of agate, glass, clay, steel, or plastic. They come in a variety of sizes, but the most have a diameter of about 13 mm (12 in). These toys can be made into works of art or utilized in a variety of marble-based activities. They can also be used in races or runs. They are frequently collected for their pleasing colors and nostalgic appeal.
Let x = Number of red marbles
y = Number of black marbles.
A bag contains 275 marbles.
So, x + y = 275 ..(1)
There are 24 red marbles for every black marble.
x = 24y ..(2)
Plug value of x in equation (1).
24y + y = 275
25y = 275
y = 11
Put y = 11 in equation (2),
x = 24(11)
x = 264
Hence, there are 264 red marbles in the bag.
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