Answer:
Suppose we have an equation like:
[tex]\frac{A}{C} = \frac{B}{D}[/tex]
If we want to remove the denominators, we should multiply both sides by each denominator.
First, let's multiply both sides by C.
[tex]\frac{A}{C}*C = \frac{B}{D}*C[/tex]
[tex]A = \frac{B}{D}*C[/tex]
Now let's multiply both sides by D.
[tex]A*D = \frac{B}{D}*C*D[/tex]
[tex]A*D = B*C[/tex]
So now we removed the denominators.
Now let's do this to our expression.
[tex]2 - \frac{3}{4*x} = \frac{9}{10}[/tex]
First, let's multiply both sides by 10
[tex](2 - \frac{3}{4*x})*10 = \frac{9}{10}*10[/tex]
[tex]20 + \frac{30}{4*x} = 9[/tex]
Now let's multiply both sides by 4*x
[tex](20 + \frac{30}{4*x})*4*x = 9*4*x[/tex]
[tex]20*4*x - 30 = 9*4*x[/tex]
[tex]80*x - 30 = 36*x[/tex]
Now we can solve this for x:
[tex]80*x - 36*x = 30[/tex]
[tex]44*x = 30[/tex]
[tex]x = \frac{30}{44} = 0.68[/tex]
please help there is a picture below
Answer:
4 glasses, point is (32,4)
Step-by-step explanation:
Really tired but if you want an explanation, do tell me.
Hardware Sells Nails By The Kilogram.One Inch Of Nails Weighs Approximately 18 mg.How Long,In mm,Is A 1-inch Nail,Correct to 1Decimal Place.?
The length of the 1 inch nail weighing 18 mg is 25.4 mm
What is an equation?An equation is an expression showing the relationship between numbers and variables.
Weight is the quantity of matter stored in an object. The SI unit of weight is the kilograms.
1 inch = 0.0254 meter
1 m = 1000 mm
Given the nail is 1 inch, hence:
1 inch = 0.0254 m
0.0254 m = 0.0254 m * 1000 mm/m = 25.4 mm
The length of the nail is 25.4 mm
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The monthly utility bills in a city are normally distributed with a mean of $100 and a standard deviation of $12. Find the probability that a randomly selected utility bill is more than $120
Find the volume of the cylinder
Answer:
pi 50 x^4
Step-by-step explanation:
The volume of a cylinder is
V = pi r^2 h
The radius is 5x and the height is 2x^2
V = pi (5x)^2 * 2x^2
V = pi ( 25x^2) (2x^2)
= pi 50 x^4
Answer:
[tex]50\pi x^{5}[/tex]
Step-by-step explanation:
50π[tex]x^{5}[/tex]
Two girls are standing 100 feet apart they both see a beautiful seagull in the air between them the angles of elevation from the girls to the bird are 20 degrees and 45 degrees respectively how high up is the seagull
Answer:
[tex]26.68\ \text{feet}[/tex]
Step-by-step explanation:
a = 100 feet
[tex]\angle B=20^{\circ}[/tex]
[tex]\angle C=45^{\circ}[/tex]
[tex]\angle A=180-(20+45)=115^{\circ}[/tex]
From sine rule we have
[tex]\dfrac{\sin B}{b}=\dfrac{\sin A}{a}\\\Rightarrow b=\dfrac{\sin B}{\sin A}a\\\Rightarrow b=\dfrac{\sin 20^{\circ}}{\sin 115^{\circ}}\times 100\\\Rightarrow b=37.73\ \text{feet}[/tex]
[tex]\sin C=\dfrac{h}{b}\\\Rightarrow h=b\sin C\\\Rightarrow h=37.73\times \sin 45^{\circ}\\\Rightarrow h=26.68\ \text{feet}[/tex]
The is seagull is [tex]26.68\ \text{feet}[/tex] above the ground.
Marcus has 16 4/7 ounces of pretzels that he wants to split equally among 4 people. How many ounces of pretzels will each person get?
Answer:
4 1/7
Step-by-step explanation:
16 4/7 ÷ 4 = 4 1/7
Hope this helps!
Help pls I’m stuck on this question
Answer:
We have 15 Nickels and 10 Dimes.
Step-by-step explanation:
This is a system of equations! [Literally in a class reviewing that rn}
Lets make a chart:
Number of Coins x Value of Coin = Total Value
Dimes | d | 10 | 10d
Nickels | n | 5 | 5n
So, When you have a System of Equations with Money, One equations is about the value of the money, and the other about the number of coins.
The First Equation [Number of Coins]:
D + N = 25
the Second Equation [Value of Money]:
10D + 5N = 175
I will use Elimination to solve this, however, graphing and substitution works too.
ELIMINATION:
Multiply First equation by -5
-5[D + N = 25] = -5D - 5N = -125
Add the Two Equations vertically.
-5D - 5N = -125
10D + 5n = 175
---------------------
5D = 50
Divide both sides by 5.
5D/5 = 50/5
D = 10
Substitute D= 10 In any equation and solve for the other variable.
10 + N = 25
Subtract 10 from both sides.
10 - 10 + N = 25 - 10
N = 15
So, we have 15 Nickels and 10 Dimes.
==================================================================
Hope I Helped, have a Great Day!
-Aadi x
A room has a measurement of 7.5 m x 9.6 m. If Encik Zaki wishes to lay square tiles
on the floor of the room, what is the biggest size, in cm, of the tiles so that the tiles
will fully cover the entire floor?
Answer:
72
Step-by-step explanation:
Please help it’s a group assignment and due today (no links!)
Answer: problem 1 A
Step-by-step explanation:
En qué países hispanohablantes se comen muchos frijoles?
From the video capitulo 8
10 POINTS!! Need it now
Answer:
Cuba, Venezuela, Colombia, Mexico
Mrs. Kephat's sixth grade class has been collecting aluminum cans. They receive a dollar a can. What percent of the goal still needs to be achieved?
Answer: A. 40%
amount achieved: 600/1000 = 3/5
amount not achieved = 2/5
2/5 as percent is 40%
please do 81 cookies and distributed 44
Answer:
1.84
Step-by-step explanation:
I think you gave the wrong information because if you divided 81 by 44 you will get 1.84...
can someone help my lil sister.
Answer:
78
Step-by-step explanation:
Given:
h + 9g
Required:
Evaluate when g = 8 and h = 6
Solution:
Plug in the values of the variables into the expression
Thus,
6 + 9(8)
= 6 + 72
= 78
A circle has a circumference of 6. It has an arc of length 1.
What is the central angle of the arc, in degrees?
Answer:
60 degrees
Step-by-step explanation:
s = r (theta)
(theta) = s/r
= 1 / (3/π) = π/3
as a degree π/3 x 180/π = 60
60 degrees
*Circumference = 2πr
6 = 2πr
r = 6/2π = 3/π
What are the solutions to 6x²-5x-4=0?
Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Step-by-step explanation:
Exact Form:
[tex]x=-\frac{1}{2} , \frac{4}{3}[/tex]
Decimal Form:
x=-0.5, -1.¯3
Hope this helps :)
Which of the statements below are true? Select all that apply.
A) The table shows a proportional relationship
B) The table does not show a proportional relationship
C) Buying 6 comics saves $2.00
D) Buying 2 comics costs $8.00
What is the solution of (x+8)/(5x+-1)>0?
Answer:
the solution set is (-infinity, -8) ∪ (-8, 1/5)
Step-by-step explanation:
x + 8 changes sign at x = -8.
I'll assume you meant 5x - 1 (as 5x+- is meaningless). 5x - 1 changes sign at x = 1/5.
Subdivide the x-axis using the two x-values found above:
(negative infinity, -8), (-8, 1/5), (1/5, infinity.
Choose a representative value from each interval. I'm choosing x = -10, x = 0 and x = 1.
Now test the given inequality at each of these x-values. Is the result true or false?
x + 8
---------- > 0
5x - 1
For x = -10:
-10 + 8
--------------- > 0 => -2/(-51) => 2/51 This is TRUE
5(-10) - 1
For x = 1:
1 + 8
---------- > 0 => 9/4 This is TRUE
5 - 1
For x = 0:
8
---------- > 0 This is FALSE
- 1
Therefore the solution set is (-infinity, -8) ∪ (-8, 1/5)
id.6577294778 psrd:kaus
Solve for the unknown angle
Answer:
30
Step-by-step explanation:
Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase of $1,500 per year. Which equation can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria? F 45,000 x + 2,500 x = 54,000 x + 1,500 x G 45,000 x + 2,500 = 54,000 x + 1,500 H 45,000 + 2,500 x = 54,000 + 1,500 x J 45,000 x + 2,500 x = 54,000 x + 1,500
Answer:
H) 45,000 + 2,500 x = 54,000 + 1,500x
Step-by-step explanation:
Let the number of years be represented as x
For Jerry
Jerry has a new job and earns a salary of $45,000.Jerry will receive a salary increase of $2,500 per year,
The equation is
45,000 + 2,500x
Victoria has a new job and earns a salary of $54,000. and Victoria will receive a salary increase of $1,500 per year.
The equation is :
54,000 + 1,500x
The equation that can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria is given as
Equation for Jerry = Equation for Victoria
45,000 + 2,500x = 54,000 + 1,500x
Option H is the correct option
Find the balance in the amount after the given period. 5000 principal earning 7% commanded, 7 years
Complete question :
Find the balance in the amount after the given period. 5000 principal earning 7% compounded annually for 7 years
Answer:
8,028.91
Step-by-step explanation:
Given :
Principal, P = 5000
Rate, r = 7% = 0.07
Period, t = 7 years
Using the compound interest formula :
A = P(1 + r/n)^nt
A = final amount ; n = number of compounding times per period
A = 5000(1 + 0.07/1)^(1*7)
A = 5000(1 + 0.07)^7
A = 5000(1.07)^7
A = 5000 * 1.60578147647843
A = 8028.90738239215
Amount saved = 8,028.91
There were 49.7 million people with some type of long-lasting condition or disability living in the United States in 2000. This represented 19.3 percent of the majority of civilians aged five and over (http://factfinder.census.gov). A sample of 1000 persons is selected at random.
a. Approximate the probability that more than 200 persons in the sample have a disability.
b. Approximate the probability that between 180 and 300 people in the sample have a disability.
Answer:
The answer is "0.274 and 0.841"
Step-by-step explanation:
Given:
In this question, let X the binomial random variable with the parameters:
[tex]n = 1000\\\\P = 0.193[/tex]
Calculating the random variable Z:
[tex]Z= \frac{X - np}{\sqrt{np(l - p)}}=\frac{x -193}{12.48}[/tex]
is an approximately regular, cumulative random variable with [tex]\Phi[/tex] specified in the back of the book in the tables.
Using the continuity and tables to calculate:
[tex]\to \mathbb{P} (X > 200) = \mathbb{P} (X\geq 200.5) \approx \mathbb{P}(Z\geq 0.6)=1- \Phi(0.6) \approx 0.274 \\\\\to \mathbb{P} (180 < X < 300) = \mathbb{P} (180.5 \leq X \leq 299.5) = \approx \mathbb{P} (-1 \leq Z\leq 8.53) = \approx 1- \Phi(-1) \approx 0.841[/tex]
(a) The probability that more than 200 persons throughout the sample have a disability will be "0.08691".
(b) The probability that between 180 - 300 people throughout the sample have a disability will be "0.85122".
ProbabilityAccording to the question,
Majority percentage, P = 19.3% or,
= 0.193
Sample person, n = 1000
Q = 1 - P
= 1 - 0.193
= 0.807
By using Normal approx. to Binomial,
→ Mean, E(X) = n × P
By substituting the values,
= 1000 × 0.193
= 193
Standard deviation, X = √n × p × Q
= √1000 × 0.193 × 807
= 12.4800
(a)
Z = [tex]\frac{X - \mu}{\sigma}[/tex]
= [tex]\frac{210-193}{12.48}[/tex]
= 1.36
The probability be:
→ P(X > 210) = 1 - P (Z < 1.36)
= 1 - 0.9131
= 0.08691
(b)
Z = [tex]\frac{X - \mu}{\sigma}[/tex]
= [tex]\frac{180-193}{12.48}[/tex] or, [tex]\frac{300-193}{12.48}[/tex]
= 8.57
hence,
The probability be:
→ P (180 < X < 300) = P(Z < 8.57) - P(Z < -1.04)
= 1 - 0.1488
= 0.85122
Thus the answers above are correct.
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If b = 5, what is 632
15
25
75
125
Answer:
Step-by-step explanation:
A
The weather forecaster says that tomorrow there is a 6% chance that it will rain. Which word or phrase describes the probability that it will rain?
O unlikely
O likely
O impossible
O an equal chance or 50-50
two angles are supplementary. the bigger angle is three times as large as the smaller angle.find the measurement of the angles
Answer:
The bigger angle is 135, and the smaller angle is 45.
Step-by-step explanation:
First, you have to know that supplementary angles add up to 180°.
We have no equations for the angles, so I will use the variable x for the value of the smaller x.
The reason for this: the problem gave the value of the bigger angle, but relative to the smaller angle. Therefore, it would be safe to assume the use of a variable for the smaller angle.
Since the bigger angle is 3 times as large as the smaller, we can say that the bigger angle is 3x, or 3 times x.
Now, we can put this in an equation: 3x+x=180. Like I said before, both of the angles add up to 180 degrees.
To solve the equation:
1. Combine like terms
4x=180
2. Divide both sides by 4
x=45
Now that we have the value of x, we can plug that in to 3x and x to find the angles.
3*45=135, which is the bigger angle
45, which is the smaller angle.
the cost of renting a van is $30. An additional $0.89 is charged for each mile, m, the van is driven, Which expression can be used to determine the total cost, in dollars, of renting a van?
Answer:
30 + 0.89m
Step-by-step explanation:
I think this is the correct answer.
A plumber charges $75 for the service call and $25 per hour (h) for repairs. Write an algebraic expression to represent the total bill for all plumbing services.
A.
(75 + 25)h
B.
75 + 25h
C.
75h + 25
D.
75 + 25 + h
Answer:B i think if wrong im so sorry
Step-by-step explanation:
Answer:
B 75+25h
Step-by-step explanation:
$75 is the first charge for the service and is constant. $25(per hour) is not constant and changes as the time (hours) changes. That's why it has a h next to it, the h is the variable to hold the place for the hours that would be multiplied in the problem.
Josh is going to the store with $60 to buy candy. bags of candy corn cost $3 & bags of chocolate cost $5 he needs to buy at least 20 bags of candy.
What do I put for the blank space? 3x+5y_60
Answer:
3a+5b
Step-by-step explanation:
Variable 1: a = candy corn
Variable 2: b = chocolate
Inequality 1: 60 ≥ 3a + 5b
Inequality 2: 20 ≤ 3a + 5b
The inequalities are as such because Josh needs to spend no greater than $60. He must also buy at least 20 bags of candy. The candy corn costs $3, while the chocolate costs $5. An expression for the total cost of the candy would be 3a + 5b.
At Chill Hill, there are 540 ways to make an ice cream sundae consisting of one flavor ice cream, one topping, and one type of syrup. If there are 9 ice cream flavors and 5 types of syrup, how many toppings are there? Please Explain how you got this answer for brainliest
Answer:
12 different toppings
Step-by-step explanation:
Total combination / (number of syrup * Numbe rod ive cream flavors)
540 / (9*5)
540 / 45
= 12
Tysm only this one left
Answer:
x = 6
Step-by-step explanation:
3x + 4 = 22
subtract 4
3x = 18
divide by 3
x = 6
Answer:
x=6
Step-by-step explanation:
Subtract 4 from each side of the equation to get 3x=18. divide 18 by 3 to get 6, and divide 3x by 3 to get x. x=6