Answer:
10 1/6
Step-by-step explanation:
First, you need to turn all the mixed numbers into improper fractions. You do this by multiplying the whole number by the denominator, adding the numerator, and then putting that number over the denominator.
So, 6 1/2 would become (6(2) + 1)/2 = 13/2. And 3 2/3 would become (3(3) + 2)/3 = 11/3.
Then, you can rewrite your equation using the improper fractions:
x - 13/2 = 11/3
Then, add 13/2 to both sides since it is being subtracted:
x = 13/2 + 11/3
Add the fractions by multiplying the denominators of each by the fraction of the other:
3(13/2) = 39/6
2(11/3) = 22/6
Add the fractions:
39/6 + 22/6 = 61/6
Simplify the fraction:
10 1/6
Answer:
10 1/6 or [tex]10\frac{1}{6}[/tex]
Step-by-step explanation:
The BEST, BASIC, FAST trick to find x in these situtations
If you have to find x in a question which is having Subtraction, then you add what number was being subtracted or what was subtracting the x or variable with the ending result. If you're doing addition, then you do subtraction in the same way.
Multiplication -> Division
Divisioin -> Multiplication
these 2 also in the same way!
Why do to do this?
Because when we will add that number with the final result, then we will get what is x, since x-that number = the last number. Try to understand, it's pretty hard to explain.
Now, solving the problem!
[tex]6\frac{1}{2} +3\frac{2}{3} =\\\\6\frac{3}{6} +3\frac{4}{6} =\\\\10\frac{1}{6}[/tex]
So your answer is 10 1/6 or [tex]10\frac{1}{6}[/tex]
Thanks!
I hope I could help!
:D
What would happen if Bees were to disappear (impacts) this is horticulture btw
Answer:If bees disappeared completely, the biodiversity of our planet would be greatly affected, depriving us of various plant species we eat and leading to the disappearance of thousands of species of plants, flowers and fruit trees, as well as honey.
Step-by-step explanation:
what is the area of a heptagon with an apothem of 15.5 and side length of 15
Answer:
813.75
Step-by-step explanation:
area of a regular polygon = side length × # of sides × apothem × 1/2
here side length = 15 , # of sides = 7 ( a heptagon has 7 sides ) and apothem = 15.5
so area = 15 × 7 × 15.5 × 1/2
==> multiply 15 by 7 by 15.5
area = 1627.5 × 1/2
==> divide 1627.5 by 2
area = 813.75
Consider the line shown on the graph. Enter the
equation of the line in the form y = mx + b where m is
the slope and b is the y-intercept.
y=
From the graph, we concluded that line passes through the points (0, 3) and (1, 4) respectively.
So, slope of the line (m) passing through the points (a, b) and (c, d) is
m = d - b/ c - a
So, on substituting the values, we getm = 4 - 3 / 1 - 0 = 1/1 = 1
Also, line makes an intercept of 3 units in positive direction of y - axis.
So, c = 3
So, Equation of line is given byy = mx + c
y = 1 × x + 3
y = x + 3Alternative Method :-We know, Equation of line passing through the points (a,b) and (c, d) is given by
y - b = d - b / c - a (x - a)
Here,a = 0
b = 3
c = 1
d = 4
So, on substituting these values in above result, we get :-y - 3 = 4 - 3 /1 - 0 ( x - 0 )
y - 3 = 1/1 ( x - 0 )
y - 3 = x
y = x + 3Different forms of equations of a straight line :-1. Equations of horizontal and vertical lines
Equation of line parallel to x - axis passes through the point (a, b) is y = b.
Equation of line parallel to y - axis passes through the point (a, b) is x = a.
2. Point-slope form equation of lineEquation of line passing through the point (a, b) having slope m isy - b = m(x - a)
3. Slope-intercept form equation of lineEquation of line which makes an intercept of c units on y axis and having slope m is y = mx + c.
4. Intercept Form of LineEquation of line which makes an intercept of a and b units on x - axis and y axis respectively is x/a + y/b = 1.
5. Normal form of LineEquation of line which is at a distance of p units from the origin and perpendicular makes an angle B with the positive X-axis is x cosB + y sinB = p.
ark. (iv). 2(x-3)-3(5x-2) ≤ 6(3-2x)
[tex]2( \times - 3) - 3(5 \times - 2) \leqslant 6(3 - 2x)[/tex]
Answer:
x ≥ 18
Step-by-step explanation:
2(x-3)-3(5x-2) ≤ 6(3-2x)
⇔ 2x - 6 - 15x + 6 ≤ 18 - 12x
⇔ 2x - 15x ≤ 18 - 12x
⇔ -13x ≤ 18 - 12x
⇔ -13x + 12x ≤ 18
⇔ -x ≤ 18
⇔ x ≥ 18
⇔ x∈[18 , ∞)
Keep the ratio simple.
3/5 : 2/5
Answer:
3:2
Step-by-step explanation:
I am assuming this means convert to whole numbers
3/5:2/5 is 6/10:4/10
6/10:4/10 is 0.6:0.4
0.6:0.4 is 6:4
6:4 is 3:2
Answer:
3 : 2Step-by-step explanation:
Keep the ratio simple.
3/5 : 2/5
remove the denominator (5) on both sides and you will have 3 : 2
The first two angles in a triangle are identical and have a sum of 120 degrees. Select the possible names for the triangle from the list below
Could the cost of one large plant be $5.50 and the cost of one medium plant be $2.25 ? Justify your answer
Answer:
yes.The medium plant cannot be the same price of a large price cause of the size difference
Hence the medium plant being nearly half the price of the large plant
get it right for brainliest
Answer:
U={1,2,3,4,5,6,7,8,9,}
A={1,3,5,7,9}
B={2,4,6,8}
C={1,2,3,4,5,6}
now,
A∩B={nothing}U c
={1,2,3,4,5,6,7}
mark me as brainliest
In how many ways can 7 people be seated in a row of chairs if two of the people, Wilma and Paul, refuse to sit next to each other
Answer:
let X be the number of ways they can be seated without condition,
let M the the number of ways they can be seated if the two people must sit together,
let N be the number of ways they can be seated if the two must not sit together.
X=7! =5040
M= 6!× 2!=1440
M+N=X
then N=X–M=5040–1440=3600ways
Find the equation of this line.
[ ?
y =
x + []
Answer:
y = 1/3x + 1
Step-by-step explanation:
Answer:[tex]y = \frac{1}{3}x +1[/tex]
Step-by-step explanation:
I can see that one coordinate is (0,1) and another to assume is (-3,0)
With this we can make the equation
Equation format is y = mx + b
b is y-intercept, so when x is 0, y = 1, so b = 1
y = mx + 1
We can substitute (-3,0) into the equation and get 0 = -3m + 1
Solving for m gives us [tex]\frac{-1}{-3} = m[/tex]
so [tex]y = \frac{1}{3}x +1[/tex]
Natalia has total assets valued at 7,285 and total liabilities valued at 6,735. What is her net worth?
Natalia Net worth will be 550 having Assets= 7285 and liabilities= 6735
Net worth= 550
What is Assets and Liabilities?
Assets are the items your company owns that can provide future economic benefit. Liabilities are what you owe other parties.
Given that: Assets= 7285, liabilities= 6735
As we know,
Total Net worth= Total Assets - Total Liabilities
= 7285- 6735
= 550
The Net worth= 550
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Which statements describe the graph of 2 and StartFraction 8 over 9 EndFraction greater-than-or-equal-to x on a number line? Select three options. There is an open circle on 2 and StartFraction 8 over 9 EndFraction. The graph contains the point 0 There is a closed circle on 2 and StartFraction 8 over 9 EndFraction. The arrow points to the left. The arrow points to the right.
The correct option is:
"A closed circle at (2 + 8/9) and the arrow points to the left"
Which statement describes the graph of the inequality?Here we have the inequality:
(2 + 8/9) ≥ x
First, because the symbol ≥ is used, we need to put a closed circle at (2 + 8/9) which means that the value is an actual solution (open circles are used for < and >), and then we shade all the numbers to the left of that value (because x also could be smaller than that).
Then the correct option is:
"A closed circle at (2 + 8/9) and the arrow points to the left"
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Answer: a closed circle on 2 8/9 and the arrow points to the left
Step-by-step explanation:
<3
what are the zeros of the function below?
*EXPLANATION NEEDED*
f(x) = (x^2 - 9) (x +1)
A. -1, -3, 3
B. -1, -3, 1
C. -1, 3, 1
D. 1, -3, 3
If the factor of the function are (x - 3), (x + 3), and (x + 1). Then the zeroes of the function will be negative 3, 3, and negative 1. Then the correct option is A.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The function is given below.
[tex]\rm f(x) = (x^2 - 9) (x +1)[/tex]
The function can be written as
[tex]\rm f(x) = (x^2 - 3^2) (x +1)\\\\\rm f(x) = (x - 3)(x+ 3) (x +1)[/tex]
If the factor of the function are (x - 3), (x + 3), and (x + 1). Then the zeroes of the function will be negative 3, 3, and negative 1.
More about the factorization link is given below.
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proportional relationship between 4y and 2x??
Answer:
This is proportional since rearranging it would get x/y = 2, which is an example of direct proportionality.
Step-by-step explanation:
How do outliers affect the mean of a data set?
A. It does not change.
B. It increases.
C. It decreases.
D. It depends whether the outlier is a high outlier or a low outlier.
Answer:
D is your answer Outlier An extreme value in a set of data which is much higher or lower than the other numbers.
Step-by-step explanation:
Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data
If there are about 5 × 10^6 hair follicles on the human body and about 7 × 10^9 people on the planet, approximately how many total human follicles are there? Give your answer in scientific notation.
There are about 3.5 * 10¹⁶ human hair follicles.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
given, If there are about 5 × 10^6 hair follicles on the human body and about 7 × 10^9 people on the plane.
=35×10⁹⁺⁶
=35x10¹⁵
=3.5×10¹⁶
So the answer is "There are about 3.5 x 10¹⁶ human hair follicles"
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How many real solutions if any, does 2x^2-3x+8=0
Answer:
The quadratic equation [tex]2\, x^{2} - 3\, x + 8 = 0[/tex] has no real solution.
Step-by-step explanation:
Rewrite the quadratic equation [tex]2\, x^{2} - 3\, x + 8 = 0[/tex] in the standard form [tex]a\, x^{2} + b\, x + c = 0[/tex]:
[tex]2\, x^{2} + (-3)\, x + 8 = 0[/tex], for which:
[tex]a = 2[/tex].[tex]b = (-3)[/tex].[tex]c = 8[/tex].The quadratic discriminant of [tex]a\, x^{2} + b\, x + c = 0[/tex] is [tex](b^{2} - 4\, a\, c)[/tex]. The quadratic discriminant of [tex]2\, x^{2} + (-3)\, x + 8 = 0[/tex] would be:
[tex]\begin{aligned}& b^{2} - 4\, a\, c \\ =\; & (-3)^{2} - 4 \times 2 \times 8 \\ =\; & (-55)\end{aligned}[/tex].
Since the quadratic discriminant of this equation is negative, this quadratic equation has no real solution.
A movie complex is showing three action films and three comedy films. you randomly select two different films to watch. find the probability that you select a comedy to watch second given that you randomly selected a comedy to watch first.
the probability is ____%
show all work
Considering the definition of probability, the probability that the first movie selected is an comedy movie and the second movie is a action film is 30%.
Definition of probabilityProbability is the greater or lesser chance that a given event will occur.
In other words, the probability establishes a relationship between the number of favorable events and the total number of possible events.
Then, the probability of any event A is defined as the ratio between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.
[tex]P(A)=\frac{number of favorable cases}{number of possible cases}[/tex]
The multiplication rule or product rule allows you to find the probability that event A and event B occur at the same time.
Two events A and B are dependent if the occurrence of one affects the occurrence of the other. For dependent events, the multiplication rule states that:
P(A∩B)= P(A)× P(B|A) (where P(B|A) indicates “the probability of ‘B’ having occurred ‘A’)
Probability in this caseIn this case, you know:
Number of action films= 3 filmsNumber of comedy films= 3 filmsTotal number of films = 6 filmsThe probability that the first movie selected is an comedy movie and the second movie is a action film.
Once the first movie is selected, there are no longer 6 movies available. There are only 5, because one of the options is eliminated. So the occurrence of the first event affects the second event and the events are dependent.
Then, the probabilty can be calculated A:
Probability= [tex]\frac{3}{6}[/tex]× [tex]\frac{3}{5}[/tex]
Probability= 0.3= 30%
Finally, the probability that the first movie selected is an comedy movie and the second movie is a action film is 30%.
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One a 570-mile trip, George spent two more hours on the Interstate than on the highway. He averaged 75 mph on the Interstate and 65 mph on the highway. How many hours did he spend driving on the Interstate
George spend 5 hours driving on the Interstate if George spent two more hours on the Interstate than on the highway.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the George spend x hours on the interstate and (x+2) hours on the highway.
570 = 75x + 65(x-2)
570 = 75x + 65x -130
700 = 140x
x = 5 hours
Thus, George spend 5 hours driving on the Interstate if George spent two more hours on the Interstate than on the highway.
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Find the area of the trapezoid
Answer:
A = 7.5 units^2
Step-by-step explanation:
A = (a+b)/2 * h
A and B are both bases of the trapezoid (top and bottom)
H is the height
A is 1
B is 4
H is 3
Plug that into the trapezoid equation and we get
(1+4)/2 * 3 = 7.5 units ^2
Which scatter plot shows no association between the variables?
Answer:
The correct answer is B.
Step-by-step explanation:
There seems to be no strong correlation for scatter plot B.
Hope this helps:) Goodluck!
Write the equality in the given diagram below
Answer :
[tex]x < 2[/tex]
The pyramid of the sun in mexico is a square pyramid. the base edge is approximately 220 meters, and the height is approximately 70 meters. what is the approximate surface area of the sides of the pyramid to the nearest thousand square meters? the lateral surface area is about .
The lateral surface area is about 105,600 meters.
What is lateral area of a pyramid?The area of the pyramid is the measure relative to its surface and is obtained by the sum of the areas of the bases (polygonals) and of all the lateral faces (triangles). For the calculation of the lateral area of a pyramid, we will have the perimeter of the base by the inclined height of the pyramid.
In this case, the formula of the lateral surface area is:
[tex]SA=\frac{P*S}{2}+B[/tex]
Where:
P= perimeter of baseS= slant heightB= area of baseThe height informed will not be used, it will only be a parameter to perform pythagoras, that is, we will find the hypotenuse of the triangle created by the height, like this:
[tex]S=\sqrt{(B)^2/2+H^2} \\S=\sqrt{110^2+70^2}\\S=\sqrt{17,000}\\ S=130[/tex]
Returning to the formula given above, we find that:
[tex]SA= \frac{(220*4)(130)}{2}+(220*220)\\ SA= 57,200+48,400= 105,600 \ meters[/tex]
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4x^2-11x-3 Change it to factor form
Answer:
(x-3)*(4x+1)
Step-by-step explanation:
Factoring 4x2-11x-3
The first term is, 4x2 its coefficient is 4 .
The middle term is, -11x its coefficient is -11 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 4 • -3 = -12
Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -11 .
-12 + 1 = -11 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 1
4x2 - 12x + 1x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
4x • (x-3)
Add up the last 2 terms, pulling out common factors :
1 • (x-3)
Step-5 : Add up the four terms of step 4 :
(4x+1) • (x-3)
Which is the desired factorization
Final result :
(x - 3) • (4x + 1)
Answer:
[tex](4x+1)(x-3)[/tex]
Step-by-step explanation:
[tex](4x+1)(x-3)=4x^{2} +x-12x-3=4x^{2} -11x-3[/tex]
Hope this helps
4/5(x+7)=20 I cant find it pls help :(
Joan has a semi-circular swimming pool. The pools has a radius of 13 feet. What is the distance around the swimming pool
Answer:
66.84 feet.
Step-by-step explanation:
Distance around = length of straight part + length of the semi-circle
= 2*13 + π*13
= 66.84 feet.
What is the diameter of the circle (x + 25/4)² + y² = 25?
Answer:
10 units
Step-by-step explanation:
Compare the given equation to the standard-form equation for a circle to identify the relevant dimension.
The equation of a circle is written in standard form as ...
(x -h)² +(y -k)² = r² . . . . . . . centered at (h, k) with radius r
__
Comparing this to what you are given, you see that ...
h = -25/4
k = 0
r² = 25
The radius is ...
r = √25 = 5
The diameter is twice the radius, so is ...
d = 2r = 2(5)
d = 10
The diameter of the circle is 10 units.
A store sells pool floats.
• The retail price was a 20% markup over the
manufacturer price.
• A month later, the store reduced the retail price
of the pool float by 12%.
What percent markup is the new retail price over the
manufacturer price?
Step-by-step explanation:
the original retail price was 120% of the manufacturer price (100% manufacturer price + 20% markup).
now, the whole retail price is reduced by 12%.
that means we have to subtract 12% from the 120%.
but careful, we cannot just do 120-12=108.
that is simply because these 120% are now for this calculation the new basic amount and therefore 100%.
we actually need to calculate and subtract 12% of 120 to get the new percentage over the manufacturer price.
we do this by multiplying 120 by (100-12)/100 = 88/100 = 0.88 :
120 × 0.88 = 105.6%
so, the new retail price is now only 5.6% over the manufacturer price.
What is the value of the expression 9/14÷(−0.6×2)?
Answer:
-0.72
Step-by-step explanation:
First we must solve what in parenthesis
-0.6 × 2 = -1.2Now we must convert [tex]\frac{9}{14}[/tex] to a whole number
To do that simply divide 9 by 14 and that come out as
0.64285714285Round to the tenths= 0.6
Now multiply
-1.2 × 0.6 = -0.72
On a test that has a normal distribution, a score of 49 falls two standard deviations
below the mean, and a score of 61 falls one standard deviation above the mean.
Determine the mean of this test.
Answer:
57 mean
Step-by-step explanation:
x = mean
(x - 49 ) = 2 ( 61 -x)
x = 57