bc -ad = 3c +r find c
Answer:
bc -ad = 3c +r
bc-ad-3c=3c+r-3c
bc-3c-ad=r (cancelling (+3c) and (-3c))
bc-3c-ad+ad=r+ad
bc-3c=r+ad (cancelling (+ad) and (-ad))
c(b-3)=r+ad (take common factor of the left side)
c=(r+ad)÷(b-3)
Step-by-step explanation:
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =
Answer:
It may be 220 9/23. If it's wrong sorry lol.
Step-by-step explanation:
A student asks 18 friends to participate in a psychology experiment.
A Convenience
B) Random
Systematic
D Cluster
E) Stratified
Solve basic applications of percent
Question
After 3 months of a new weightlifting program, Lisa has lost 12% of her original weight. She lost 24 lb.
original weight?
Provide your answer below:
Rent attribution
FEEDBACK
MORE
Answer:
200 lb
Step-by-step explanation:
Let her original weight be \(x\).
\(0.12x=24 \implies x=200\)
Find two square numbers that total 45
which value of x makes the equation 2+4(6-2x)
Answer:
8=8 so it is true
Step-by-step explanation:
Talya wanted to hit 20 homeruns this season. She ended up hitting 150% of her goal. How many homeruns did Talya hit this season?
Answer:
30
Step-by-step explanation:
tell me if im wrong
sorry if i am TmT
Based on these segment lengths, which group of segments can form a triangle?
OA.
3, 10, 14
B.
8, 7, 13
Oc.
3, 2,5
OD.
20, 7, 13
Answer:
20,7,13. are the most correct for a triangular shape
Which series of transformations maps △ABC to △A′B′C′?
Two triangles with vertices A (1, 6), B (5, 0), C (5, 6), & A prime (8, negative 1), B prime (2, negative 5), C prime (8, negative 5).
© 2020 StrongMind. Created using GeoGebra.
Select all that apply.
a translation right 2 units and a rotation 270∘ counterclockwise about the origin
a rotation 90∘ clockwise about the origin and a translation right 2 units
a translation right 2 units and a rotation 90∘ clockwise about the origin
a rotation 270∘ counterclockwise about the origin and a translation right 2 units
C - When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative
Please someone help, give the right answer it’s important
9514 1404 393
Answer:
(4)
Step-by-step explanation:
The fact that GH is the perpendicular bisector of EF means EM = FM and all of the angles at M are congruent.
It does not say anything about the relative sizes of HM and GM, so we cannot conclude HM and GM are congruent.
Find RS. Explain your reasoning.
6x + 5 9x - 4
RS=
The value of line RS is 23
How to determine the valueFrom the diagram shown, we have that line PS, line PQ, line QR and line RS form a square.
Note that the sides of a square are equal to each other.
The relationship is represented as;
Line PS = Line PQ = Line QR = Line RS
We have that;
Line PS = 6x - 5Line RS = 9x - 4Substitute the expressions
6x - 5 = 9x - 4
Now, collect like terms
6x - 9x = - 4 - 5
Subtract the like terms
-3x = -9
Make 'x' the subject of formula
-3x/-3 = -9/-3
x = 3
Then, RS = 9x - 4 = 9(3) - 4 = 27 - 2 = 23
Hence, the value is 23
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A 50 foot rope is stretched tight from the roof of a building to a spot 20 feet from the base of the
building. How tall is the building? Round your answer to TWO decimal places.
47.17 feet is the height of the building.
We can use the Pythagorean theorem to solve the problem:
Let h be the height of the building.
Then we have a right triangle with legs 20 and h, and a hypotenuse 50.
Using the Pythagorean theorem, we have:
\(50^2 = 20^2 + h^2\)
Simplifying and solving for h, we get:
\(h = \sqrt{(50^2 - 20^2)\)
h ≈ 47.17 feet (rounded to two decimal places)
Therefore, the height of the building is approximately 47.17 feet.
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To factor 4x^2-25, you can first rewrite the expression as:
a. (2x-5)^2
b. (2x)^2-(5)^2
c. (x)^2-(2)^2
d. None of the above
To factor the expression 4x^2 - 25, we can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).
In this case, we have 4x^2 - 25, which can be written as (2x)^2 - 5^2. Comparing it with the difference of squares formula, we can identify that a = 2x and b = 5. Therefore, the correct option is:
b. (2x)^2 - (5)^2
Using the difference of squares formula, we can factor it as follows:
(2x + 5)(2x - 5)
Hence, the correct factorization of 4x^2 - 25 is (2x + 5)(2x - 5), which is equivalent to option b.
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Can someone answer this please
Answer:
\(\frac{3}{38}\)
Step-by-step explanation:
→ Find the total number of people
5 + 14 + 1 + 3 + 15 = 38
→ Find the number of blue
3
Answer:
3/38
Step-by-step explanation:
_________________
Solve using the quadratic formula x^2-10x+6
Answer:
\((x-5-\sqrt{19})(x-5+\sqrt{19})\)
Step-by-step explanation:
1) In general, given \(ax^2+bx+c\), the factored form is:
\(a(x-\frac{-b+\sqrt{b^2-4ac} }{2a} )(x-\frac{-b-\sqrt{b^2-4ac} }{2a})\)
2) In this case, \(a=1\), \(b= -10\) and \(c=6\).
\((x-\frac{10+\sqrt{(-10)^2-4\times6} }{2} )(x-\frac{10-\sqrt{(-10)^2-4\times6} }{2} )\)
3) Simplify.
\((x-\frac{10+2\sqrt{19} }{2} )(x-\frac{10-2\sqrt{19} }{2} )\)
4) Factor out the common term \(2\).
\((x-\frac{2(5+\sqrt{19)} }{2} )(x-\frac{10-2\sqrt{19} }{2} )\)
5) Cancel \(2\).
\((x-(5+\sqrt{19} ))(x-\frac{10-2\sqrt{19} }{2} )\)
6) Remove parentheses.
\((x-5-\sqrt{19} )(x-\frac{10-2\sqrt{19} }{2} )\)
7) Factor out the common term \(2\).
\((x-5-\sqrt{19} )(x-\frac{2(5-\sqrt{19}) }{2} )\)
8) Cancel \(2\).
\((x-5-\sqrt{19})(x-(5-\sqrt{19}))\)
9) Remove parentheses.
\((x-5-\sqrt{19})(x-5+\sqrt{19})\)
Thanks,
Eddie Echevarria
t a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season when about 500 vines are planted per acre. For each additional vine that is planted, the production of each vine decreases by about 1 percent. So the number of pounds of grapes produced per acre is modeled by
A(n) = (500 + n)(10 − 0.01n)
where n is the number of additional vines planted. Find the number of vines that should be planted to maximize grape production.
Answer: Grape production is maximized for 150 vines planted
Step-by-step explanation:
How many cubic centimeters are there in 24 cubic meters?
A.40,000 cm³
B.24,000,000 cm³
C.None of these choices are correct.
D.2,400,000 cm³
E.24,000 cm³
Answer:
C none of the answer is correct 24m³–cm³ is 2400cm³
Which is the largest ratio?
5/36, 2:9, 3 to 18, 1:3
The largest ratio, among the following ratios: 5/36, 2:9, 3 to 18, 1:3 is 1:3.
How the largest ratio is determined:The ratio refers to the relative size of one quantity compared to another.
The ratio, which is the quotient of two quantities or values, can be expressed as a decimal, percentage, or fraction. We can also express the ratio in its standard form (:).
Given Sum of Equivalent
Ratio Ratios Ratios
5/36 36 13.89% or 0.1389
2:9 11 18.18% or 0.1818
3 to 18 21 14.28% or 0.14.28
1:3 4 25% or 0.25
Thus, we can conclude that 1:3 is the largest ratio amont the others.
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Can someone help? From a group of 5 and 3 girls,A boy and A girl will be selected to attend a conference. In how many ways can the selection be made? Two people have have me the wrong answer
Total number of ways to choose 1 girl and 1 boy from a group of 5 and 3 girls is, 15
We have to given that;
From a group of 5 and 3 girls , A boy and A girl will be selected to attend a conference.
Now, We know that;
Number of ways to choose 1 boy in group of 5 boys,
⇒ ⁵C₁
And, Number of ways to choose 1 girl from group of 3 girls,
⇒ ³C₁
Hence, Total number of ways to choose 1 girl and 1 boy from a group of 5 and 3 girls is,
⇒ ⁵C₁ x ³C₁
⇒ 5! /1! 4! × 3! / 1! 2!
⇒ 5 × 3
⇒ 15
Thus, Total number of ways to choose 1 girl and 1 boy from a group of 5 and 3 girls is, 15
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Determine the mean, median, mode and midrange for the following data:
13 15 18 18 21
Your answers should be exact numerical values.
The mean of the data is
The median of the data is
The mode of the data is
The midrange of the data is
The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.
The Mean is defined as the ratio of sum of numbers present in the data to the total numbers present in the data. Median is defined as the ratio of sum of middle numbers present in the data. Mode is defined as the most recurring number present in the data. Midrange is the ratio of the largest and smallest number in the data to 2.
Let's see how to calculate Mean, Median, Mode and Midrange.
Mean = 13 + 15 + 18 + 18 + 21 / 5
Mean = 85 / 5
Mean = 17
Median = 18 (as it is the middle term of the data)
Mode = 18 (as it is most recurring number)
Midrange = 21 + 13 / 2
Midrange = 34 / 2
Midrange = 17
Therefore, The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.
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Substitution method of simultaneous equations
3x-4y=7
2x+y=12
Answer: x=5, y = 2
Step-by-step explanation: screenshots
Consider the following argument. If there are as many rational numbers as there are irrational numbers, then the set of all irrational numbers is infinite.
The set of all irrational numbers is infinite. ∴
There are as many rational numbers as there are irrational numbers. Let p = "there are as many rational numbers as there are irrational numbers," and let q = "the set of all irrational numbers is infinite."
Is the argument valid or invalid?
Choose the answer that shows the symbolic form of the argument and justifies your conclusion.
a. form: q ∧ p valid, specialization p ∴ q
b. form: p → q invalid, converse error q ∴ p
c. form: q ∧ p invalid, converse error p ∴ q
d. form: p ∨ q invalid, inverse error q ∴ p
e. form: q → p valid, generalization p ∴ q
Answer:
b. form: p → q invalid, converse error q ∴ p
Step-by-step explanation:
Let
p = "there are as many rational numbers as there are irrational numbers,"
let
q = "the set of all irrational numbers is infinite."
We can write the above argument as:
If there are as many rational numbers as there are irrational numbers, then the set of all irrational numbers is infinite
p → q
The set of all irrational numbers is infinite
q
There are as many rational numbers as there are irrational numbers
p
So collectively it can be written as:
p → q
q
∴p
So it looks like
if p then q
q
therefore p
This is a fallacious argument. This means the conclusion can be false even when the premises are true. This type of argument is invalid.
Suppose we know that “If there are as many rational numbers as there are irrational numbers, then the set of all irrational numbers is infinite” is a true conditional statement. We also know that "the set of all irrational numbers is infinite" is true. This is not enough to say that "there are as many rational numbers as there are irrational numbers," is true. The reason for this is that there is nothing logically about “If p then q” and “q” that means p must follow. So this is a converse error and since converse error is an invalid method of inference rule so this argument is invalid.
Let us prove this argument is invalid with a truth table:
p q p → q q p
T T T T T
T F F F T
F T T T F
F F T F F
Since we know that the premises are:
p → q and q
and the conclusion is p
and an argument is valid if and only if all of its premises are true, then the conclusion is true. We should check that whenever both p → q and q are true then p is true but the third row fails. Thus this is an invalid argument.
In an arithmetic progession T7 =20 and T13 =38,. Find the first term and the common difference.
Answer the questions below to find the total surface area of the can.
Ab=3.14xRadious to the power of 2
then to the area of the rectange you do B x H = YOUR ANSWER
Divide the following polynomial using synthetic division, then place the answer in the proper location on the grid. Write answer in descending powers of x. (x3 + 6x2 + 3x + 1 ) ÷ (x - 2)
When we divide \(x^{3} +6x^{2} +3x+1\) by (x-2) we will get the quotient be \(x^{2} +8x+19\) and remainder be 39.
Given two expressions be \(x^{3} +6x^{2} +3x+1\) and (x-2).
We are required to divide the first expression by second expression.
Division means distributing parts of something. The number which is being divided is known as quotient.Divisor is a number which divides the number.
Expressions refers to the combination of numbers, fractions, coefficients, determinants, indeterminants. It expresses some relationship or show equation of line.
We know that relationship between quotient, divisor, divident and remainder is as under:
Dividend=Divisor*Quotient+Remainder
\(x^{3} +6x^{2} +3x+1\)=(x-2)*(\(x^{2} +8x+19\))+39
Quotient=\(x^{2} +8x+19\)
Remainder=39
Hence when we divide \(x^{3} +6x^{2} +3x+1\) by (x-2) we will get the quotient be \(x^{2} +8x+19\) and remainder be 39.
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Adam is 9 years old and Billy is 11 years old. What will be the ratio of Adams’ age to Billy’s age in exactly one year’s time? Give your answer in its simplest form. *
Answer:
10 / 12
simplified:
5/6
since 5 is a prime number, we can't simplify this ratio any further
The ratio x : x + 1 is equal to 1:3.
Find the value of x.

Answer:
x = 1/2.
Step-by-step explanation:
x/x+1 = 1/3
3x = x + 1
2x = 1
x = 1/2.
HELPPP ME PLEASE IVE BEEN 2 hours IN THIS QUESTIONN
9514 1404 393
Answer:
12.9 square yards
Step-by-step explanation:
The base is an equilateral triangle, so we can assume that the three faces have the same dimensions. Each of those face triangles has an area of ...
A = 1/2bh
A = 1/2(3 yd)(2 yd) = 3 yd²
The base area is computed using the same formula and the given height:
A = 1/2(3 yd)(2.6 yd) = 3.9 yd²
Then the total surface area is that of the base and the three faces:
SA = (3.9 yd²) + 3(3 yd²) = 12.9 yd² . . . total surface area
The function p(X)=5x4-3x3+2x2+24 represents how much money each girl spent bass on the number of hours they were shopping. If they go shopping for 2 hours how much money did they spend forge?
What is the equation of the following line written in general form? (The y-intercept is -1.)
A 2x + y - 1 = 0
B -2x - y - 1 = 0
C 2x - y - 1 = 0
Answer:
C
Step-by-step explanation:
the y-intercept is -1
the slope is 2/1
y=2x+-1
2x-y-1=0
-y=-2x+1
divide everything by -1
y=2x+-1