Answer:
18. 3/4*2/1 = 6/4 = 1 2/4
(2/1 is the same thing as 2)
1 2/4 in simplest form = 1 1/2
20. 3/5*5/7 = 15/35
15/35 in simplest form = 3/7
Step-by-step explanation:
When you multiply fractions, you simply multiply across. For example, 3/4*2/1. You would multiply the numerator which is 3*2 which is 6. Then you would multiply the denominator which is 4. Your final answer is 6/4 which is 1 2/4 as a mixed fraction and can be simplified to 1 1/2. Another example is 3/5*5/7. You would multiply the numerator which is 3*5 which is 15. Then you would multiply the denominator which is 5*7 which is 35. Your final answer is 15/35 which can be simplified down to 3/7 because when you divide 15 and 35 both by 5, you get those numbers and you can't simplify it anymore. Hope this helps!
2.3 - 7x + 5.1 - 3x
Please help I have 5 minutes
Answer:
2.3+5.1-7x-3x
7.4-10x
a car is driving at 100 kilometers per hour. how far, in meters, does it travel in 2 seconds? give answer to nearest meter
Answer: In 2 seconds the car covered a distance of 55.56 meters.
ExplanationUniform rectilinear motion (also known as uniform linear motion or straight-line motion) is a type of motion in which an object moves along a straight line with a constant speed.
This means that the object's position changes by the same amount in a given period of time, regardless of the time that has elapsed. This type of motion is different from accelerated motion, in which the speed of an object changes over time. In uniform rectilinear motion, the speed of the object is constant, and the direction of motion does not change.
A car is driving at 100 kilometers per hour. how far, in meters, does it travel in 2 seconds? give answer to nearest meterData:
V = 100 km/h = 27.78 m/s
t = 2 s
d = ?
Since it asks us to calculate the distance in meters, we must convert from km/h to m/s.
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=100 \ \frac{\not{km}}{\not{h}}*\left(\frac{1000 \ m}{1\not{km}}\right)*\left(\frac{1\not{h}}{3600 \ s}\right)= 27.78 \ m/s } \end{gathered}$} }\)
The uniform motion formula is: V=d/t
We clear for the distance, since it is the value that asks us to calculate.
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=\frac{d}{t} \iff \ d=v*t} \end{gathered}$}}\)
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d=27.78 \ \frac{m}{\not{s}}*2\not{s} } \end{gathered}$}}\)
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d=55.56 \ m} \end{gathered}$}}\)
Answer: In 2 seconds the car covered a distance of 55.56 meters.A square has sides of length 8.4 . Work out the length of a diagnol of the square . Give your answer correct to 3 significant figures
Answer:
The length of the diagonal is 11.879 units
Step-by-step explanation:
On any rectangle or square, any 2 adjacent sides and the diagonal that connects them makes a right triangle. The diagonal is the hypotenuse of that right triangle, and you can find it using the pythagorean theorem:
\(a^2+b^2=c^2\)
where a and b are the sides, and c is the diagonal.
\(\rightarrow8.4^2+8.4^2=c^2\\\rightarrow70.56+70.56=c^2\\\rightarrow c^2=141.12\\\rightarrow c\approx11.879\)
Which graph represents the system of equations –3x + y = 3 and –x + 2y = –4?
The graph represents the system of equations -3x + y = 3 and -x + 2y = -4 is option (b) On a coordinate plane, 2 lines intersect at (negative 2, negative 3).
The system of equation are
-3x + y = 3
-x + 2y = -4
Here we have to use the substitution method
-3x + y = 3
y = 3 + 3x
Substitute the value of y in the second equation
-x + 2(3 + 3x) = -4
-x + 6 + 6x = -4
-x + 6x = -4-6
5x = -10
x = -10/5
x = -2
Substitute the value of x in the first equation
-3x + y = 3
-3(-2) + y = 3
6 + y = 3
y = 3 - 6
y = -3
Hence, the graph represents the system of equations -3x + y = 3 and -x + 2y = -4 is option (b) On a coordinate plane, 2 lines intersect at (negative 2, negative 3).
The complete question is:
Which graph represents the system of equations –3x + y = 3 and –x + 2y = –4?
a) On a coordinate plane, 2 lines intersect at (3, 0).
b) On a coordinate plane, 2 lines intersect at (negative 2, negative 3).
c) On a coordinate plane, 2 lines intersect at (negative 1.5, 1).
d) On a coordinate plane, 2 lines intersect at (1.5, 2.5).
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Answer:
B
Step-by-step explanation:
both point intersect at ( -2, -3)
HELP PLEASE!!!!!!!!?!??
Answer:
B and C
Step-by-step explanation:
-√16 is both an Integer and a Rational number.
A triangle has vertices at L(2, 2), M(4, 4), and N(1, 6). The triangle is transformed according to the rule R0, 180°.
Which statements are true regarding the transformation? Select three options.
The rule for the transformation is (x, y) → (–x, –y).
The coordinates of L' are (–2,–2).
The coordinates of M' are (–4,4).
The coordinates of N' are (6,–1).
The coordinates of N' are (–1,–6).
Answer:
A,B,E
Step-by-step explanation:
I took the test on edge
The statements that are true regarding the transformation are:
The rule for the transformation is (x, y) → (–x, –y).
The coordinates of L' are (–2,–2).
The coordinates of N' are (–1,–6).
What is Translation?
A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Since, A rotation of a point on the coordinate system for 180 degrees about the origin results is,
⇒ (x, y) → (-x, -y).
Given that;
The coordinate of L is (2, 2),
Then, the coordinates of L' is (-2, -2).
And, the coordinates of N is (1, 6),
then the coordinate of N' is, (-1. -6)
Therefore, the statements that are true regarding the transformation are:
The rule for the transformation is (x, y) → (–x, –y).
The coordinates of L' are (–2,–2).
The coordinates of N' are (–1,–6).
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a 95% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit. a preliminary sample standard deviation is 1.5. the smallest sample size n that provides the desired accuracy is
The smallest sample size n that provides the desired accuracy is 10.
To find the smallest sample size n that provides the desired accuracy, we can use the formula:
n = (Z-value * standard deviation / margin of error)²
Where:
Z-value = the critical value for the desired confidence level (in this case, 1.96 for 95% confidence)
Standard deviation = the preliminary sample standard deviation (1.5 in this case)
Margin of error = the desired accuracy (0.3 units in this case)
Substituting the values, we get:
n = (1.96 * 1.5 / 0.3)²
n = 9.8
Since we cannot have a fractional sample size, we round up to the nearest whole number, giving us:
n = 10
Therefore, the smallest sample size n that provides the desired accuracy is 10.
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what is the value of x?
Answer:
x = °
Step-by-step explanation:
Find the value of 3x+ 4 when x = 2
Answer:
3x+4, x=2
3(2)+4
6+4=10
Hello there! :-)
To find the value of 3x+4 when x=2, all we have to do is substitute the value of 2 into the expression:
3x+4
3(2)+4
6+4
10
Therefore, the answer is 10.
Hope this helps. Use the comment section to clarify your doubts.
Answered by
~A felicitous teen who helps others with a smile on her face
Good luck with your studies. :)
find the slope between (9,3) and (-2,4)
Step-by-step explanation:
Hey, there!
You just need is formula for slope (m) ok.
given that the points are A(9,3)) and B (-2,4).
Using formula for slope,
\(slope(m) = \frac{y2 - y1}{x2 - x1} \)
\(m = \frac{4 - 3}{ - 2 - 9} \)
\(or ,\: m = \frac{1}{ - 11} \)
Therefore, the slope of the points A(9,3) and B (-2,4) is (-1/11).
Hope it helps...
The present age of Joshua's father is four times that of Joshua. After 3 and 1/6
years, the difference in their age is 34 years. Find their present ages.
(Estimate the solution to the nearest whole number).
Father = 45 years
Joshua = 11 years
See the image I have shared.
Round off at the end
Anyone know this ? I need help please:(((
Answer:
Step-by-step explanation:
This models the standard form of an exponential equation:
\(y=a(b)^x\), where a is the intial value and b is the growth rate. The number in our function that holds position a is 1200. So the initial population is 1200.
Determine the slope.( look at picture)
Answer:
m = 3/4
Hope that helps!
find the sum,difference,product,or quotient
Answer:
23/16, 1 7/16
Step-by-step explanation-
Add the fractions.
11/16 + 3/4 = 23/16.
It can be 23/16.
Or, if you want it simplified-
23/16 simplified is 1 7/16.
Answer and Step-by-step explanation:
Sum:
1. Convert 3/4 to have a 16 in the denominator
2. 3/4 * 4/4 = 12/16 Multiply
3. 11/16 + 12/16 = 23/16 Add
Subtraction:
1. Convert 3/4 to have a 16 in the denominator
2. 3/4 * 4/4 = 12/16 Multiply
3. 11/16 - 12/16 = - 1/16 Subtract
Multiplication:
1. 11/16 * 3/4 = 33/64 Multiply
Division
1. 11/16 / 3/4 Divide
2. Multiply by the reciprocal of 3/4
3. 11/16 * 4/3 = 11/12 Multiply
Ellen is drawing two polygons. One of the polygons has 3 more angels then the other. What shapes could she be drawing?
Answer:
Step-by-step explanation:
This is quite and easy one, but also vague at the same time.
A polygon is a shape with 5 or more sides, so, if she were drawing a pentagon, then the second polygon has to be an octagon. A pentagon has 5 sides, and an octagon has 5 + 3 sides
In the same vein, if she were drawing a hexagon, with 6 sides, the other polygon has to be monsoon, with 6 + 3 sides.
A heptagon also gives us a 7 + 3 polygon, in decagon.
All in all, it depends on the first polygon she's drawing as the question is vague in that aspect.
HELP PLEASEEE. WILL GIVE 15 POINTS
Answer:
PQ=17.088
Step-by-step explanation:
If M is the midpoint of PQ, then PM is half the length of PQ. So we cna find our answer by first finding PM.
Imagine a right angle triangle with PM as its hypotenuse. Since P(x,y)=(5,-15), and M(x,y)=(13,-18), we know that the length of the vertical side of this triangle is the difference between P and M's y (vertical) coordinates, and the length of the horizontal side of this triangle is the difference between P and M's x (horizontal) coordinates. This means the vertical side is equal to -15-(-18)=3 and the horizontal side is equal to 13-5=8. Since we know the lengths of the other two sides and PM is the hypotenuse, we can use pythagorus to find the length of PM:
PM = \(\sqrt{3^{2} +8^{2} } =\sqrt{9 +64 }=\sqrt{73} =\)8.544
Since PM is half PQ, PQ=2(8.544)=17.088
P(2,-5);y=1/2x+4 write this equation for the line in point-slope form
Answer:
x..{9 u have }7 gnf butbnot after 25 points
Step-by-step explanation:
The School Band needs to raise at least $950 for new instruments. To earn money, they
decide to sell sodas for $2.50 each and bags of chips for $1.50 each at the fall concert. Which
inequality should be used to determine the amount of sodas and chips they need to sell?
Use x to represent sodas and y to represent chips.
To determine the amount of sodas and chips the School Band needs to sell, we can use the inequality 2.5x + 1.5y ≥ 950.
This inequality represents the total revenue the band needs to make, which is the product of the number of sodas sold (x) multiplied by the price of each soda ($2.50), plus the product of the number of bags of chips sold (y) multiplied by the price of each bag ($1.50), must be greater than or equal to $950.
By using x to represent sodas and y to represent chips, we can solve for the values of x and y that will allow the School Band to meet or exceed their fundraising goal of $950 for new instruments.
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The campers asked their counselor to tell them her ag. She replied, "If you add 4 years to my present age, the result will be 2 times my campers. Five years ago my age was 3/4 of what hers will be in eight years. How old is the counslor?
The counselor is 27 years old . Let the age of the counselor be x. According to the problem, the following information can be written down:
x + 4 = 2 * Campers
Hence, (x + 4)/2 = Campers. ----(1)
Now, the problem states that 5 years ago, the age of the counselor was 3/4th of what the age of the camper will be in 8 years.
In 5 years from now, the age of the counselor will be x + 5.In 8 years from now, the age of the camper will be Campers + 8.
The above statements can be written down as:x + 5 = (3/4) * (Campers + 8)
On substituting (1) in the above equation, we get:x + 5 = (3/4) * [(x + 4)/2 + 8]On solving the above equation, we get:x = 27
Hence, the counselor is 27 years old.
Answer: The counselor is 27 years old.
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find a formula bn for the -n- th term of the following sequence. assume the series begins at =1.n=1. 45,56,67,…
The formula for the n-th term (b_n) of the given sequence is b_n = 45 + (n - 1) * 11.
To find a formula for the n-th term of the sequence 45, 56, 67, ..., we can observe that each term is obtained by adding 11 to the previous term.
We can express the n-th term of the sequence as follows:
b_n = 45 + (n - 1) * 11
This formula calculates the value of the n-th term by starting with the initial term 45 and adding 11 times the number of steps away from the initial term.
Therefore, the formula for the n-th term (b_n) of the given sequence is b_n = 45 + (n - 1) * 11.
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PLEASE HELPP!!! (look at pic)
Answer:
1/2
Step-by-step explanation:
Answer:
1/2 of the original pizza is left over
Step-by-step explanation:
When solving this question, divide 8 by 4. That will give you one fourth of the pizza. Multiply that by three, and you will get 6. Then divide 6 by 3, to get 2 as one third of 6.
Subtract 2 from 6 to get 4
find the area of the parallelogram with vertices a(−4, 2), b(−2, 5), c(2, 3), and d(0, 0).
8 square unit to find the area of the parallelogram with vertices A(-4, 2), B(-2, 5), C(2, 3), and D(0, 0), follow these steps:
Step 1: Find the base and height vectors of the parallelogram. Let's use AB and AD as the base and height vectors, respectively.
AB = B - A = (-2 - (-4), 5 - 2) = (2, 3)
AD = D - A = (0 - (-4), 0 - 2) = (4, -2)
Step 2: Calculate the cross-product of the base and height vectors.
Cross product = AB_x * AD_y - AB_y * AD_x = (2 * -2) - (3 * 4) = -4 - 12 = -16
Step 3: Find the area by taking the absolute value of the cross product divided by 2.
Area = |Cross product| / 2 = |-16| / 2 = 8
The area of the parallelogram with vertices A(-4, 2), B(-2, 5), C(2, 3), and D(0, 0) is 8 square units.
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please help me with this
Answer:
option a 0.06 bared
Which number is a composite number? 13 23 33 43 Please help.
Answer:
Hey there!
33 is a composite number. It can be broken down to 3 and 11.
Let me know if this helps :)
Answer:
33
Step-by-step explanation:
whenever you divide 13,23,or 43, you get a decimal or fraction. You can divide 33 by 3 or 11.
A company charges a shipping fee that is 4.5% of the purchase price for all items it ships. What is the fee to ship an item costs $56?
Answer: $2.52
Step-by-step explanation:
Since 4.5% = 0.045 we can just take that and multiply by the item cost, $56, and get $2.52. Therefore that is the fee.
Consider triangle ABC below note that triangle ABC has verticals A(5,-7) B(-3,5) and C(-7,-3) Suppose a D is the midpoint of AB and the E is a midpoint of AC answer the following
Answer:
Hard to see this....but
Midpoint of AB = [ (3 -5)/2, (6 + 2) / 2 ] = [ -1, 4 ] = F
Midpoint of of BC = [ (-5 + 7)/2 , (2- 8)/2 ] = [ 1 , -3] = D
Midpoint of AC = [ (3 + 7)/2 , ( 6 - 8)/2 ] = [ 5, -1] = E
Slope of CF = [ -8 - 4 ] / [ 7 - -1] = -12/8 = -3/2
Equation of line containing CF =
y= -(3/2) ( x - - 1) + 4
y = -(3/2) ( x + 1) + 4
y= (3/2)x - 3/2 + 4
y = -(3/2)x + 5/2 (1)
Slope of AD = [ 6 - -3 ] / [ 3 - 1] = 9/ 2
Equation of line containing AD =
y = (9/2) (x -3) + 6
y =(9/2)x - 27/2 + 12/2
y= (9/2)x - 15/2 (2)
We can the find x intersection of medians CF and AD by setting (1) = (2)....so we have
-(3/2)x + 5/2 = (9/2)x - 15/2
10 = 6x
5 = 3x
x = 5/3
And using (1) the y value of the intersections is
y = -(3/2)(5/3) + 5/2 = 0
So....the intersection of the medians = (5/3 , 0)
We can check this by writing an equation for the remaining median, BE
Slope of line containing BE =
[ 2 - -1 ] / [ -5 - 5] = 3 / -10 = -3/10
So the equation of this line is
y = -(3/10)(x - - 5) + 2
y = - (3/10)x - 15/10 + 20/10
y= -(3/10)x + 5/10
y = -(3/10)x + 1/2
Note that when x = (5/3) we have that
y = -(3/10)(5/3) + 1/2
y = - (5/10) + 1/2
y= -1/2 + 1/2
y = 0
So.....this confirms that the intersction of the medians = ( 5/3, 0 )
Step-by-step explanation:
Got u fam and i have done this before
A plane loses altitude at the rate of 5 meters per second. It begins with an altitude of
8500 meters. Write an equation that represents this information.
Answer:
ffhdfhfgfghgfhg
Step-by-step explanation:
Answer:
20=4+3
Step-by-step explanation:
in the graph of the simple linear regression equation, the parameter ß 1 is the _____ of the true regression line.
In the graph of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.
The simple linear regression equation represents a linear relationship between a dependent variable and an independent variable. It can be written as y = ß0 + ß1x, where ß0 is the intercept and ß1 is the slope of the regression line.
The slope (ß1) determines the rate of change in the dependent variable (y) for each unit change in the independent variable (x). It represents the steepness or inclination of the regression line. The sign of ß1 indicates whether the line has a positive or negative slope, indicating the direction of the relationship between the variables.
Thus, in the context of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.
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One angle of an isosceles triangle measures 68°. What measures are possible for the other two angles? Choose all that apply
If One angle of an isosceles triangle measures 68 degrees then the measure of other angle is 44 degrees.
Isosceles triangles have two angles that are equal.
We are given that One angle of an isosceles triangle is known to be 68°.
Since the two equal angles are 68
We have the angles 68, 68, and an unknown angle x
Now add to 180
68+68+x = 180
136+x=180
Subtract 136 from both sides
x =180-136
x =44
Hence, the measure of other angle is 44 degrees.
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What is the multiplicity of 0 3?.
We call this a triple zero, or a zero with multiplicity 3. For zeros with even multiplicities, the graphs touch or are tangent to the x-axis at these x-values
What is the multiplicity of 0 3?
We call this a triple zero, or a zero with multiplicity 3. For zeros with even multiplicities, the graphs touch or are tangent to the x-axis at these x-values. For zeros with odd multiplicities, the graphs cross or intersect the x-axis at these x-values.
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