Answer:
[tex]9 \frac{5}{8} [/tex]
Step-by-step explanation:
[tex]1. \: lcd = 24 \\ 2. \: \frac{2 \times 8}{3 \times 8} + 9 \times \frac{24}{24} - \frac{1}{24} \\ 3. \: \frac{16}{24} + \frac{216}{24} - \frac{1}{24} \\ 4. \: \frac{16 + 216 - 1}{24} \\ 5. \: \frac{231}{24} \\ 6. \: \frac{77}{8} \\ 7. \: 9 \frac{5}{8} [/tex]
6. The perimeter of the figure below is equal to 150 cm. What is the length of the longest
side of the polygon? Use mathematics to explain how you determined your answer.
Use words, symbols, or both in your explanation. **SHOW WORK!!!**
x
x+6
x+4
x+5
x+8
x+1
LONGEST SIDE:__________
Answer: 29 centimeters long
Step-by-step explanation: What you want to do in this kind of situation is to combine all like terms. After, you would get 6x + 24 = 150. What you would do here is to get 6x by itself by subtracting 24 on both sides. Now 6x = 126, to isolate the variable you divide 6 on both sides to get x = 21. However, the questions is asking for the longest side and you know that x + 8 will be the greatest out of all. So, x = 21 + 8 equals 29 centimeters. I hope this helps, please give me a brainlest! :)
Ten points QRSTUVWXY and Z are equally and consecutively spaced on a circle.
What is the size, in degrees, of the angle ∠QTW?
The size of ∠QTW in degrees is 72°. See the explanation below. This is based on the concept of opposite sides in a quadrilateral.
What is the logic leading to the above result?QSUWY which is a pentagon is regular that mean:
∠QYW = 108°
The quadrilateral QTWY is a cyclic one. This means that we can apply the rule that states that opposites sides must add up to 180°
Thus, ∠QTW =
180 - 108
= 72°
What is a quadrilateral?A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon.
In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.
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Full Question:
See the attached image for missing details.
Write an equation that uses parentheses and has the solution x=4. In the "Show Your Work" box, show how you would check the solution x=4 in your own equation.
I NEED AN EQUATION HERE IS AN EXAMPLE OF THE FORMAT:
2 (8x - 1) < 3 (4x - 5)
Answer:
2(8x - 5) = 2(6x + 3)
Step-by-step explanation:
2(8x - 5) = 2(6x + 3)
16x - 10 = 12x + 6
16x - 12x = 6 + 10
4x = 16
x = 16 / 4
x = 4
Ariana was looking at rent costs for 555 apartments. Each rent was a different amount between \$1{,}000$1,000dollar sign, 1, comma, 000 and \$1{,}400$1,400dollar sign, 1, comma, 400 per month, except for one apartment whose rent was \$4{,}800$4,800dollar sign, 4, comma, 800 per month. [Show data] Ariana looked at the mean and median of the rents. Then, she decided to remove the \$4{,}800$4,800dollar sign, 4, comma, 800 rent from the set and recalculate the mean and median. How will removing this rent affect the mean and median?
Answer:
It will affect the mean and median in a decreasing matter
Step-by-step explanation:
toodles ;)
Answer:
decreasing matter
Step-by-step explanation:
in a three digit number, the sum of the digits in the units and the hundreds positions is equal to the number of tens. One more than three times the units igt is the hundreds digit. If there are 9 tens in the original number, find its reverse
REVIEW
(P13.2
Xavier starts with the integer -10 and multiplies it by a negative integer. Mark the statements below as true or false. If false, explain
why to the right of the statement.
a. The resulting product cannot be greater than-10.
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
b. The resulting product must be greater than 0.
c. The resulting product cannot be less than 10.
Answer:
a. The resulting product cannot be greater than-10. (False)
b. The resulting product must be greater than 0. (True)
c. The resulting product cannot be less than 10. (True)
Step-by-step explanation:
Explaining Statement (a):
The integer that is given is -10,
Let it will b multiplied with another negative integers let say (-1). Starting with the smallest one in order to clarify all statement.
So, if the resultant product is represented by x, So:
x = (-10)(-1)
Using the sign Multiplication rule which is {(-)*(-)} = +
x = 10
While looking at the result It is greater than -10 because 10 is greater than -10 (So, First Statement is False)\Similarly, the resulting product is greater than 0 because 10 is greater than 0 (So, 2nd statement is true)At the end, the minimum integer choose to multiply with the -10 will be -1. It neither be -0.5 because -0.5 is not an integer. Hence answer will never ever be less than 10. (Last statement is True)A bank gives each new customer a 4-digit code number which allows the new customer to create their own password. The digits are 1, 3, 5, 7 with no digits repeating. What is the possibility the password does not contain 5, that the number will start with 371?
Answer:
firstly it is a four number combo with no repeating numbers so it has to include 5 but if you mean it like you said it 0
Step-by-step explanation:
sry i read it wrong the first time
Answer:
ZERO probability
Step-by-step explanation:
POSSIBLE combos 4 x 3 x 2 x1 = 24 possible combos
if it starts with 371 then the only choice for the 4th digit is 5
but no combo can have a 5 (per question)
so there are ZERO chances of this happening
Which table represents a linear function?
o 16 30 one
as it forms a pattern
Ariana was looking at rent costs for 555 apartments. Each rent was a different amount between \$1{,}000$1,000dollar sign, 1, comma, 000 and \$1{,}400$1,400dollar sign, 1, comma, 400 per month, except for one apartment whose rent was \$4{,}800$4,800dollar sign, 4, comma, 800 per month. [Show data] Ariana looked at the mean and median of the rents. Then, she decided to remove the \$4{,}800$4,800dollar sign, 4, comma, 800 rent from the set and recalculate the mean and median. How will removing this rent affect the mean and median?
Answer:
tough one
Step-by-step explanation:
sorry goodluck
a 2-quart carton of pineapple juice costs $5.28. what is the price per cup
Answer:
$0.66 per cup
Step-by-step explanation:
There are 8 cups in 2 quarts, so 5.28/8 is $0.66 per cup.
Answer:
0.66
Step-by-step explanation:
8 cups are in 2 quarts so you going to count 8 cups untill you get 5.28 and then you see how many cents that it is so its 0.66
Find the solution set of the inequality.
10c + 5 ≤ 45
Which of the following can be directly measured using a ruler?
A. Distance between the earth and the moon
B. Distance between two cities
C. Width of a window frame
D. Height of a mountain
Answer:
C
Step-by-step explanation:
windows arent that big compared to 2 cities, distance between the and moon, or a height of a mountain. so i think C is the only reasonable answer
pls halp
What is the relationship between ∠a and ∠b?
The relation between the two angles ∠a and ∠b is that they are complementary angles. The correct option is B.
What are complementary angles?The angles when added give the sum of 90 degrees and are called complementary angles. The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
In the given figure it is observed that the two angles ∠a and ∠b when added give 90 degrees.
Therefore, the relation between the two angles ∠a and ∠b is that they are complementary angles. The correct option is B.
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PLEASE!!!!! I REALLY NEED THIS ASAP!!!
I NEED HELP ASAP
Create an equivalent expression for [tex]1.3^{3}[/tex] over [tex]1.2^{2}[/tex] raised to the fourth power all raised to the power of negative six.
1.2 raised to the twenty-fourth power over 1.3 to the eighteenth power
1.2 squared over 1.3 cubed
1.3 to the eighteenth power over 1.2 to the twenty-fourth power
1.3 cubed over 1.2 squared
The equivalent expression for [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex]is [tex][(1.2)^{2}] ^{24}/(1.3)^{18}[/tex].
Given an expression [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex].
We are required to find the equivalent expression of the given expression.
Expression is combination of numbers, fraction,symbols, coefficients, determinants, indeterminants or algebraic operations. It shows some relationship also. It is found without equal to form.
Expression is [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex]
It is in fraction as we know that fraction is combination of two numbers one is numerator and denominator.
First we need to multiply the powers present in numerator and denominator.
=[tex](1.3)^{-18} /[{(1.2)^{2}}^{-24} ][/tex]
We have to invert the numerator and denominator because the powers in negative.
=[tex][(1.2)^{2}]^{24} /(1.3)^{18}[/tex]
Hence the equivalent expression for [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex]is [tex][(1.2)^{2}] ^{24}/(1.3)^{18}[/tex].
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HELP ASAP!!! 99 ASSIGNMENTS TO GO!!!! 25 POINTS!!!!
Answer:
1. Ratio
2. Unit Rate
3. Scale Drawing
4. Similar Figures
5. US Customary System
6. Rate
7. Scale
Step-by-step explanation:
Most of them are just definitions
10POINTS !!
the sum of the length of a side of two squares is 18cm and the sum of their areas is 212 cm^2. find the length of a side of the smaller square
Step-by-step explanation:
lengtha + b = 18cm
a = 18 - b
Areaa² + b² = 212cm²
(18-b)² + b² = 212
324 - 36b + b² + b² = 212
2b² - 36b + 112 = 0
b² - 18b + 56 = 0
b² - 4b - 14b + 56 = 0
b(b-4) -14(b - 4) = 0
(b-4) (b-14) = 0
b-4 = 0 OR. b-14 = 0
b = 4 cm b = 14 cm
so 4cm < 14cm
so , length of a side of the smaller square is 4cm .......
And , large square's = 14cm .....
Answer:
square one sides = 14, 14
square 2 sides = 4, 4
14 + 4 = 18
14 x 14 + 4 x 4 = 212
Step-by-step explanation:
14 x 14 + 4 x 4
this is the area of the 2 being added
the sides lengths are 14 and 4
Round 21,498.2536 to the thousand place
Answer:
[tex]20000.2600[/tex]
here's the verified answer
Step-by-step explanation:
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help quick ples
What is the range of possible sizes for side x?
Answer: 0.5 < x < 16.5.
Step-by-step explanation: Two sides of triangle: 8.0 units and 8.5 units
Measure of third side = x
According to the triangle's inequality,
Sum of any two sides > third side. (i)
Difference between the sides < third side. (ii)
If x is the third side, then
x < 8+8.5 [Using (i)]
i.e. x< 16.5
Also, x > 8.5-8 [Using (ii)]
i.e. x> 0.5
Hence, Range of possible sizes for side x would be 0.5 < x < 16.5.
The range of possible sizes for side x is,
⇒ 0.5 < x < 16.5
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Two sides of the triangle are 8.5 and 8.
Now, The range of possible sizes for side x is,
⇒ x < 8.5 + 8
⇒ x < 16.5
⇒ x > 8.5 - 8
⇒ x > 0.5
Thus, The range of possible sizes for side x is,
⇒ 0.5 < x < 16.5
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Of the following points, name all that lie on the same vertical line?
(1,9) (0,-8) (1,8) (1,-9)
Answer:
Step-by-step explanation:
(1, 9) and (1, -9) lie on the same like cuz y indicate the right side of the coordinates and both the right side of these coordinates r 9, its different just cuz positive lies on top, and negative lies on bottom
same thing for (0,-8) and (1, 8)
please mark me brainliest if it helped
pls help meh
Which angle refers to the same angle as \angle BPF∠BPFangle, B, P, F?
We have: ∠APC + ∠BPC = 180⁰ (adjacent corner)
=> ∠APC + 133⁰ = 180⁰
=> ∠APC = 180⁰ - 133⁰ = 47⁰
Beside: x = ∠BPD = ∠APC = 47⁰ (opposite corner)
ANSWER: x = 47⁰
Ok done. Thank to me :3
The value of the angle x will be equal to 47⁰.
What is an angle?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
It is given that ∠APC + ∠BPC = 180⁰ (adjacent corner)
The angle x will be calculated as below:-
=> ∠APC + 133⁰ = 180⁰
=> ∠APC = 180⁰ - 133⁰ = 47⁰
Beside: x = ∠BPD = ∠APC = 47⁰ (opposite corner)
Therefore, the value of the angle x will be equal to 47⁰.
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pls show work and also you will get 100 points 4 this
Answer: Alligators
Step-by-step explanation: This entire paper is just about combining like terms.
I won't go too in depth about it since it's self-explanatory, but I'll explain it just a bit. Like terms are two terms that have the same variable. For example, 19 and 24 are like terms since they are both numbers. 15x and 18x are like terms since they are both the same variables. 2y and 5y are like terms since they are both the same variables. However, 3x and 4y are NOT like terms, they do not have the same variable.
Also, variables that have different exponential powers are also not like terms. For example, 5x^2 and 7x are not like terms as one is squares and one is to the 1st power. Similarly, 3x^3 is not the same variable as 2x^4.
When you have 5x and -2x, you subtract 5x and 2x. Thus, the combination would be 3x. When you have -4x - 2x, you would get -6x, and if you have -4x + 2x, you would get -2x.
What you were supposed to do is simplify the equations by combining like terms, and then crossing off the letters that correspond to what you have left in the expression. The remaining letters should spell out a joke.
Attached below I have provided the correct answer.
Hope this helped.
Answer:
1. 3x+5x+14x = 22x
2. 4x+7+11x = 15x+7
3. 10x+8-3x = 7x+8
4. 6x-5+x-11 = 7x-5-11 = 7x-16
5. -8x +19 + 2 - 2x = -10x+19+2 = -10x+21
6. -x+23+4x-34-x = 2x+23-34 = 2x-11
7. 105+27x-68-19x-27+x = 9x+105-68-27 = 9x+10
8. 7x+16-3x+3-2x-2x = 0x+19 = 19
9. -18 + 6 -4x+ 10 - 11x + 2 = -15x
10. 16+4x-12x-28-6x+17+x-1 = -13x +4
Please state your answer and explain clearly how you got to your answer. Please clarify and be specific. Thank you so much for you help!
Answer:
D. 1200 gallons
Step-by-step explanation:
Fractions of the total are given, as is the quantity the difference of those fractions represents. These can be used to write an equation to find the total.
SetupLet g represent the total number of gallons of fuel sold. Then the number of gallons of 87-octane sold is 0.50g, and the number of gallons of 89-octane sold is 0.35g. The difference is said to be 180 gallons:
0.50g -0.35g = 180
SolutionCollecting terms gives ...
0.15g = 180
Dividing by the coefficient of g, we find ...
g = 180/0.15 = 1200
The gas station sold 1200 gallons of fuel last weekend.
__
Additional comment
That's 600 gallons of 87-octane; 420 gallons of 89-octane; 120 gallons of 92-octane; and 60 gallons of 99-octane.
Solve the equation r = 1/(x-1) for x in terms of r. In other words, manipulate the equation until you have x equal to an expression with r's in it but no x's.
Answer:
[tex]x=\frac{1}{r} +1[/tex]
Step-by-step explanation:
[tex]r=\frac{1}{x-1}[/tex]
[tex]r(x-1)=1[/tex]
[tex]x-1=\frac{1}{r}[/tex]
[tex]x=\frac{1}{r} +1[/tex]
Answer:
[tex]x=\dfrac{1+r}{r}[/tex]
Step-by-step explanation:
Given equation:
[tex]r=\dfrac{1}{(x-1)}[/tex]
Multiply both sides by (x - 1):
[tex]\implies r(x-1)=\dfrac{1}{(x-1)} \cdot (x-1)[/tex]
[tex]\implies r(x-1)=1[/tex]
Expand the brackets:
[tex]\implies rx-r=1[/tex]
Add r to both sides:
[tex]\implies rx-r+r=1+r[/tex]
[tex]\implies rx=1+r[/tex]
Divide both sides by r:
[tex]\implies \dfrac{rx}{r}=\dfrac{1+r}{r}[/tex]
[tex]\implies x=\dfrac{1+r}{r}[/tex]
PLEASE HELP!!!!!!!! ASAP
A circle has a radius of 5 inches. A semicircle has a radius of 10 inches. How do the areas compare?
1. The circle has twice the area of the semicircle.
2. The semicircle has four times the area of the circle.
3. The semicircle has twice the area of the circle.
4. The areas are equal.
Question #2
A circle has a diameter of 6 cm. What is its area?
1. 37.68 cm 2
2. 9.42 cm 2
3. 28.26 cm 2
4. 18.84 cm 2
Answer: #1) 3. The semicircle has twice the area of the circle
#2) 3. 28.26 cm
Step-by-step explanation:
#1) The formula for area of circle is A=πr².
First, plugging in the radius for the circle, A=π(5)², we get an area of about 78.54 inches².
Plugging in the radius for the semicircle, A=π(10)², which is equal to 314.159.... However, since it is a SEMI-circle, we will divide this value by 2 to give us an area of about 157.08 inches².
Comparing the two areas, we see the semicircle has twice the area of the circle as 78.54 x 2 = 157.08.
#2) Again use the area of circle formula, A=πr². The radius is half the diameter, so half of 6cm=3cm, meaning r=3. plug it in.
A= π(3)²
A= 28.27 cm²
factor the following expression. 3x^3-12x^2-2x-8
Polynomials are mathematical expressions made up of many terms.
To simplify a polynomial as much as possible, you must group all the like terms and rearrange them from higher to lower power.
3x³ - 12x² - 2x-8The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of any constant term is 0. The derivative of axⁿ it's naxⁿ⁻¹.
3 × 3x³⁻¹ + 2(-12)x²⁻¹ - 2x¹⁻¹Multiply 3 x 3.
9x³⁻¹ + 2(-12)x²⁻¹ - 2x¹⁻¹Subtract 1 from 3.
9x² + 2(-12)x²⁻¹ - 2x¹⁻¹Multiply 2 by −12.
9x² - 24x²⁻¹ - 2x¹⁻¹Subtract 1 from 2 and subtract 1 from 1.
9x² - 24x¹ - 2x⁰For any term t, t¹ = t.
9x² - 24x - 2x⁰For any term t except 0, t⁰=1.
9x² - 24x - 2Answer: The solution of the polynomial 3x³ - 12x² - 2x-8 is 9x² - 24x - 2.
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Ben is picking cherries to make jam. each cherry weighs about 1/2 ounce. There are 16 ounces in a pound. He needs 3 pounds of cherries. About how many cherries does he need to pick?
Answer:
96 Cherries
Step-by-step explanation:
This is a question on some unit conversions.
First we convert 3 pounds to ounces.
Given 16 ounces = 1 pound,
3 pounds = 3 x 16 ounces = 48 ounces
Next, we will find the number of cherries required.
Number of Cherries required = Total weight of cherries needed (in ounces) / Weight per cherry.
= [tex]\frac{48}{0.5}[/tex]
= 48 * 2
= 96 cherries
help please <3 help please <3 help please <3
Answer:
[tex]w=\frac{420}{p}[/tex]
Step-by-step explanation:
So generally a direct proportion can be expressed as:
[tex]k=\frac{y}{x}[/tex]
essentially where the y/x is equal to some constant value.
Whenever you have an inverse proportion, you can generally express it as:
[tex]k=xy[/tex]
where the product of x and y is equal to some constant value.
So we can check for inverse proportion, by seeing if the xy product is constant
1 * 420 = 420
2 * 210 = 420
3 * 140 = 420
Since the xy (or technically wp, or in general the product of the independent variable and dependent variable) product is constant, this relationship can generally be expressed as: [tex]wp=420[/tex]
We can divide both sides by p, so we can isolate the dependent variable (p)
[tex]w=\frac{420}{p}[/tex]
pls help best u can
What is the range of possible sizes for side x?
So far this year, Adam has played 30 games of chess and has only won 6 of them. What is the minimum number of additional games he must play, given that he is sure to lose at least one-third of them, so that for the year he will have won more games than he lost?
A) 24
B) 57
C) 87
D) It is not possible for Adam to do this.
The correct answer is B) 57, but not sure how?
Answer:
Step-by-step explanation:Yikes. Just so we’re all clear—this is not a real SAT question.
So far, Adam’s record is 6 wins/30 games. If he plays x more games, his record will be:
image
You find the minimum x such that the fraction is greater than ½, which would mean he won more than ½ of his games.
Let’s do some math!
image
So if he plays 54 more games, and wins 2/3 of them, he’ll have the same number of wins as losses. Check on that to make sure: He’ll have played 30 + 54 = 84 games, and won 6 + (2/3)54 = 42 of them. Yep, that works.
Now here is where it gets tricky (and why this question is not SAT-caliber). Remember that he’s losing 1/3 of his games. If his 52nd, 53rd, and 54th additional games were win, win, loss, then he would have had, very briefly, a winning record after his 53rd additional game.
His 55th additional game is another chance at a winning record. If he loses that game, then he’ll win the next two, and have a winning record for sure by the 57th additional game. From there, if he continues winning 2/3 of his games, he’ll have a winning record forever.
