Answer:
[tex]\frac{q+p}{2(p-q)}[/tex]
Step-by-step explanation:
[tex]\frac{4(p+q)}{p-q} *\frac{q+p}{8(p+q)}[/tex]
We will cancel out like terms.
[tex]\frac{4}{p-q} *\frac{q+p}{8}\\=\frac{4(q+p)}{8(p-q)} \\=\frac{q+p}{2(p-q)}[/tex]
suppose your household income increased to $2,000.00 and your energy bill came from $180.00 how many percent of your household income is being spent on electricity?
hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა
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[tex]\large \bold {ANSWER}[/tex]
[tex]\implies \boxed{\underline{\huge{\tt{\orange{\: \: 9\% \: \: }}}}}[/tex]9% of the family income is being spent to pay the energy bill.
[tex]\large \bold {SOLUTION}[/tex]
HOW TO FIND OUT THE PERCENTAGE?If your income is now $2,000.00 and you have withdrawn $180.00 from the value, then we say that the $2,000.00 is equivalent to 100% of the value, that is, the total amount. And the amount that was withdrawn will be X because we still don't know how much percent is equivalent to $ 180.00 of this value.
To solve, we will use the simple rule of three like this:
[tex]\frac{2000}{180} = \frac{100}{x}[/tex]With this we will multiply the denominator of one with the numerator of the other, being:
2000 * X and 180 * 100Where: 2000 * x is equal to 2000xAnd 180 * 100 is equal to 18,000Knowing this, we will solve it this way:
2000x = 18,000To start we will isolate the unknown(x) from the values taking the 2000 to the other side of the equality turning it into the denominator of 18,000.
[tex]x = \frac{18000}{2000}[/tex]And to finish, we cut the 3 zeros of the numerator with the d 3 zeros of the denominator getting 18 / 2. Now it's just dividing.
[tex]\begin{gathered}x = \frac{18}{2} \\ \\ x = 9\end{gathered}[/tex]We can conclude that the amount spent to pay the energy bill is equivalent to 9% of the family income.
who is father of math?
Answer:
Archimedes
Step-by-step explanation:
Archimedes is known as the Father Of Mathematics.
Answer:
Archimedes
Archimedes is known as the Father Of Mathematics
Step-by-step explanation:
Where does f(x) = 3x2 – 11x – 4 intersect the x-axis?
Answer:[tex]x=-\frac{1}{3}, 4[/tex]
Step-by-step explanation:
Graphs intersect the x-axis where y=0, so we can set f(x)=0.
[tex]3x^2 - 11x-4=0 \\ \\ (3x+1)(x-4)=0 \\ \\ x=-\frac{1}{3}, 4[/tex]
Answer:
negative x intercept is at -1/3
positive x intercept 4
Step-by-step explanation:
Alexa needs 20.5 pints of blueberries to
jam. She picked 7.75 pints on Friday and
pints on Saturday. How many more pints
she need to pick?
Answer:
Your question does not make much sense but that was only because you were missing one variable which was 4.25 which was what you picked up on Saturday. but anyways you just add 7.75 and 4.25 and you'd end up with 12 so she has 12 pints of the blueberries she needs and to find out the remanding you just subtract from the 20.5 but its better to look at it like 20.50 because that's what it is and then you subtract 12 from 20.50 and you are left with 8.50.
Your answer is 8.5
Juniors and seniors were surveyed about whether they plan to attend a school dance.
94 out of 130 juniors plan to attend.
12 out of 140 seniors do not plan to attend.
The following table shows the results.
(see attachment for table)
What mistake was made in the table?
A. The total for the number of seniors is incorrect
B. The responses for the juniors are reversed
C. The number of juniors attending is incorrect
D. The responses for the seniors is incorrect
Answer:
The responses for the seniors are reversed.
Hope this helped!
Sahil chooses a number, divides it by 8 , adds 8 to the answer. Then multiples the answer with 8 . He obtains the result as 952 . The number he chooses in the beginning was
TAKE POINTS
Let that be x
(x/8+8)8=952x/8+8=119x/8=119-8x/8=111x=111(8)x=888The number he chooses, in the beginning, was 888.
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.
Given that Sahil chooses a number, then divides it by 8, adds 8 to the answer. Then multiply the answer by 8.
Let the unknown number be represented by x.
Therefore,
(x/8+8)8 = 952
x/8+8 = 119
x/8 = 119-8
x/8 = 111
x = 111(8)
x = 888
Therefore, the unknown number would be; 888.
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REARRANGE EQUATIONS PLEASE HELP ITS DUE IN TOMORROW
Answer:
from top to bottom:
x = y(v-w)
x = (yv/w)/2
x = (6+w)/v
x = (y-2w)/v
Step-by-step explanation:
What is the solution to this rational equation? 24/x-8=4
Answer:
X = 1424/x-8 = 4
Multiplying both the sides with x-8
24 = (x-8)*4
24 = 4x - 32
24 + 32 = 4x
56 = 4x
56/4 = X
14= X
In calm water, the motorboat of Jana is moving at the speed of 16.5km/h. On a river, because of the current, the boat moves faster down the river only by raising it. Jana went up the river in 5 hours and the decent in only 2 hours. What is the speed of the current?
Answer: 707 km/h
Step-by-step explanation:
let c = speed of current
16.5 + c = speed of sailboat downstream
16.5 - c = speed of sailboat upstream
distance = travel time * speed
﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋
2(16.5 + c) = 5(16.5 - c)
33 + 2c = 82.5 - 5c
7c = 49.5
c = 7.07 km/h
sec(pi/2 -x) =csc x true or false
Answer:
true
Step-by-step explanation:
if you rewrite [tex]sec\left(\frac{\pi }{2}\:-x\right)[/tex] with trigonometric identities:
[tex]sec\left(\frac{\pi }{2}\:-x\right)[/tex] [tex]=\frac{1}{\sin \left(x\right)}[/tex]
[tex]\frac{1}{\sin \left(x\right)}[/tex] [tex]=\csc \left(x\right)[/tex]
so, yes, [tex]sec\left(\frac{\pi }{2}\:-x\right)[/tex] [tex]=\csc \left(x\right)[/tex]
hope this helps!!
Factorise completely
qn: 12axy + 8bxy + 4xy
Answer:
Step-by-step explanation:
Answer:
4xy(3a+2b+1)
Step-by-step explanation:
1) Find the Greatest Common Factor (GCF).
1 - What is the largest number that divides evenly into 12axy, 8bxy and 4xy?
It is 4.
2 - What is the highest degree of [tex]a[/tex] that divides evenly into 12axy, 8bxy and 4xy?
It is 1, since a is not in every term.
3 - What is the highest degree of [tex]x[/tex] that divides evenly into 12axy, 8bxy and 4xy?
It is x.
4 - What is the highest degree of [tex]y[/tex] that divides evenly into 12axy, 8bxy and 4xy?
It is y.
5 - What is the highest degree of [tex]b[/tex] that divides evenly into 12axy, 8bxy and 4xy?
It is 1, since [tex]b[/tex] is not in every term.
6 - Multiplying the results above,
GCF = 4xy
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
[tex]4xy(\frac{12axy}{4xy} +\frac{8bxy}{4xy} +\frac{4xy}{4xy} )[/tex]
3) Simplify each term in parentheses.
[tex]4xy(3a+2b+1)[/tex]
Determine the solution to the system of equations graphed below and explain your reasoning and complete sentences
g(x)=-2x-3
f(x)= |x+1|-4
Answer:
(x, y) = (0, -3)
Step-by-step explanation:
On a graph, the solution to a system of equations is the set of points where the graphs of the equations intersect.
__
solutionThe graphs for this system of equations intersect at the point (0, -3). That point is the only solution for this system of equations.
The solution is (x, y) = (0, -3).
There are 5 types of fruit in a basket. There are 3 apples, 2 bananas, 4 oranges, 5 kiwi,
and 1 passionfruit. You ask a friend to bring you a piece of fruit. What is the probability of them bringing you an apple?
The probability of bringing an apple is 0.20
How to determine the probability?The distribution of the fruits is given as:
3 apples2 bananas4 oranges5 kiwi,1 passion fruit.The probability of bringing an apple is:
P(Apple) = Apple/Total
This gives
P(Apple) = 3/(3 + 2 + 4 + 5 + 1)
Evaluate
P(Apple) = 0.20
Hence, the probability of bringing an apple is 0.20
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simplify -9(5 - 2) - 111÷3 show all work
Answer:
-64
Step-by-step explanation:
use PEMDAS order : Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)
-9(5 - 2) - 111÷3 =
-9(3) - 111÷3 =
-27 - 111÷3 =
-27 - 37 =
-64
Find the remainder when f(X)=2x^3+2x^2-3x-3 is divided by X-2
The remainder when f(x) = 2x³ + 2x² - 3x - 3 is divided by x - 2 is 15.
We know that the remainder theorem states that if a polynomial p(x) is divided by a linear polynomial q(x) whose zero is x = a, then the remainder is given by r = p(a).
Here p(x) = f(x) = 2x³ + 2x² - 3x - 3 and q(x) = x - 2. First, we have to find the zero of q(x).
Now, q(x) = 0
i.e. x - 2 = 0
i.e. x = 2.
So, the zero of q(x) is 2, i.e. a = 2.
Then by the remainder theorem,
r = p(a) = f(2) = 2(2)³ + 2(2)² - 3(2) - 3 = 2 × 8 + 2 × 4 - 6 - 3 = 16 + 8 - 9 = 16 - 1 = 15
We can conclude that the remainder when f(x) = 2x³ + 2x² - 3x - 3 is divided by x - 2 is 15.
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raios of 3 The ratboys to 5 girls
One polygon has a side of length 2 feet. A similar polygon has a corresponding side of length 4 feet. The
ratio of the perimeter of the smaller polygon to the larger is
021
01/2
014
Answer:
the largest is 014 because I did it and the teacher said it is correct
Step-by-step explanation:
teacher checked work
helooooooo
bnbdnndnmfmfnfncncncncnncnc....
Answer: I dont really understand your questions
Step-by-step explanation: find the solution to your problem
PLEASE HELP IT IS DUE AT 11:15
Answer:
35, 31, 25, 18
Step-by-step explanation:
10 x 7/2 = 35
10 + 7 + 14 = 31
8 1/3 x 6/2 = 25
4 1/3 + 5 1/3 + 8 1/3 = 18
look at the attachments
the last one at the bottomm c is200
please i really need help its khan
Answer:
all I know is the second on about world population in 2014 which was c
7•10⁹
Answer:
B
B
Step-by-step explanation:
there are 9 steps for the second question so it 10^9
and if you times the 1st population size by 20 you get very close to the second population size.
2(2x – 1) + 7 < 13 or –2x + 5≤-10
Answer:
x<2 or x ≥ 15/2
Step-by-step explanation:
Find x and y. please help ty!! :)
answer:
x=74 y=27
steps:
triangle in the middle is
180-126 = 54
180-85 = 95
180-149 = 31
126=2x+1+31
126=2x+32
2x=94
x=74
126+2y=180
2y=54
y=27
A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs? Write and solve an equation to match the situation.
Answer:
see below
Step-by-step explanation:
Acid in = acid out acid out = 10 liters of 20% = .2 * 10 = 2
x = 5% amount
10-x = 40% amount
.05x + .40 ( 10-x) = .20 (10)
.05x + 4 - .4x = 2
-.35x = -2
x = 5.7 liters of 5 % 10 - 5.7 = 4.3 liters of 40%
urgent please help with this function!!
Answer:
g(-2) = 0
g(4) = -4
Step-by-step explanation:
-2 works in the second equation because it is within the restrictions, therefore it is 0.
4 works in the third equation because it is within those restrictions, therefor it is -4.
Find the vertex and focus of the
parabola:
y²-10y + 4x + 21 = 0
Vertex = ([?],
[]
Focus=([], [])
Answer:
Vertex: (1, 5)
Focus: (0, 5)
Step-by-step explanation:
Given that the parabola's equation is y² - 10y + 4x + 21 = 0, solve for the vertex and the focus.
Vertex:
Step 1: Isolate x to the left side of the equation; we get x = - (y² / 4) + (5y / 2) - (21 / 4).
Step 2: Complete the square of the previous equation; here we get - (1 / 4) * (y - 5)² + 1. x is squal to this.
Step 3: Use the vertex form, x = a(y - k)² + 1. a is - 1 / 4, h is 1, and k is 5.
Step 4: Fill in (h, k). We get the answer (1, 5) as the vertex.
Focus:
Step 1: Find p, and distance from the vertex to the focus. We can find p by using 1 / (4a).
Step 2: Simplify. This gives us -1 as p.
Step 3: We plug in the values we just got earlier to get the vertex. The focus of a parabola can be found by using: (h + p, k).
Step 4: Substitude the values. We have (1 + -1, 5).
Step 5: Simplify. Therefore, the answer is (0, 5).
This took me a long time to calculate. Please mark me as Brainliest!!!This uservabove me did it all for you. I don't have much to say...
b) The height of the control tower. a) The shortest distance between the pilot and the base of the control tower. From a horizontal distance of 10.5km, a pilot observes that the angles of depression of the top and base of a control tower are 36° and 41 degrees respectively. Calculate he following:
From the calculations, the height of the tower is 26.4 Km
What is the angle of depression?If we know that the base of the tower is B and he top of the tower is T then to find the shortest distance between the pilot and the base of the control tower;
Sin 41 = 10.5//BP/
/BP/ = 10.5/Sin 41
/BP/ = 15.9 Km
Now, the height of the control tower is obtained from;
First /AB/ = √(15.9)^2 - (10.5)^2
/AB/ = 11.9 Km
Given that;
Tan 36 = 10.5//BT/
/BT/= 10.5/Tan 36
/BT/= 14.5 Km
Hence the height of the tower is 11.9 Km + 14.5 Km = 26.4 Km
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PLEASE HELP ME WITH THIS
Answer:
Decreases
Step-by-step explanation:
A negative correlation means the y is big when the x is small. As x gets bigger, y gets smaller.
Finding the LCM of algebraic term and algebraic expressions.
Answer:
The LCM is made by multiplying all factors included in the factoring of the given expressions. Common factors are used once only and the one with the highest power is used. x + 3 is a factor in the first expressions is therefore used.
Step-by-step explanation:
Kayla has 18 bottles of bubbles. She wants to give 2 bottles to each of her 6 friends. How many bottles will she have left over? Which expression solves the problem?
Expressions:
(18/2)/6
(18/2)+6
(18*2)-6
(18*2)+6
Answer: she would have 6 bottles left, (18/2)/6
Step-by-step explanation:
she has 18 bottles, when you divide it by two, she could give two bottles to 9 people. but, she only wants to give it to 6 friends. meaning that she would be left with 3 pairs of bubbles. as in, 6 bottles.
Jack have 34 toy cars, Mike says he have 3 times more than Jack's toy cars. How many toy cars does Mike have?
Answer:102
Step-by-step explanation:
34 x 3 = 102
Answer:
102
Step-by-step explanation:
Since Jack has 34 toy cars and Mike has 3 times more than Jack's toys, we should multiply 34 with 3 to get the answer.
34 * 3 = 102
So, this means that Mike has 102 toy cars.\
Hope this helps :)
