Answer: Solving two-step linear equations using distributive property: a (x+b)=c;aleft ( {x + b} ight) = ca (x+b)=c Solving linear equations using multiplication and division Solving two-step linear equations: ax+b=cax + b = cax+b=c, xa+b=c {x over a} + b = cax+b=c
Step-by-step explanation:
Answer:
solving equations using distributive property. We'll guide you through two ways that the following question can be solved.
Question: 11.32 = 8(0.61 + x)
Solution 1:
11.32 = 8(0.61+x)
Divide both side by 8, you get 1.415 = 0.61 +x
Minus both side by 0.61, 0.805 = x
In this solution, we first try to move all the non-x terms over to one side. The first step of dividing both sides by 8 helps us move the 8 from the right side to the left side. This allows us to get rid of the parentheses too as the terms no longer have to be multiplied out (there's nothing to multiply them with). Then, in order to move 0.61 to the left side, we'll minus it from both sides. In the end, we'll get that x ultimately equals 0.805.
Solution 2:
11.32 = 8(0.61+x)
Open up the right side, you get 11.32 = 4.88+8x
Minus both side by 4.88, you get 6.44 = 8x
Divide both side by 8, you get 0.805 = x
In solution 2, we're truly using the distributive property. We're going to distribute 8 into the terms in the parentheses, which are "+0.61" and "+x". This gives us 4.88 + 8x on the right side of the equation. Then we can move over 4.88 to the left side with the rest of the non-x terms by minusing it from both sides. Lastly, divide both sides by 8 to move the 8 over to the left side and you'll find that x = 0.805. Both methods will bring you to the same correct answer.
5/12+2/3=37 I need help
Answer:
13/12=37
Step-by-step explanation:
Jessica's health insurance premium is $3964 annually. If her employer pays 85% and she is paid monthly, how much is deducted from each monthly check? O $22.88 O $49.55 O $330.33 O $594.60
Answer:
594.60
Step-by-step explanation:
basically you turn the percent into a decimal, so 0.85 times 3954. then you subtract 3964.00 and 3369.40 to get the answer <3
pls help me I will try to give brainleist bc i don't know how
Answer:
2195
Step-by-step explanation:
filler filler filler lol
Answer: 2,195
Step-by-step explanation:
439x5
9x5=45
3x5+4=19
4x5+1=21
2195
Could you help me to solve this
Answer:
No, sorry about that, buddy, I cannot.
Line v passes through points (5, 4) and (10, 2). Line w is perpendicular to v. What is the slope of line w?
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation that goes through (5,4) and (10,2)
[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{5}}}\implies \cfrac{-2}{5} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{2}{5}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{5}{2}}\qquad \stackrel{negative~reciprocal}{+\cfrac{5}{2}\implies \cfrac{5}{2}}}[/tex]
Why would a number line be divided into 20 parts?
Answer:
_ _
1 2 all the way to twenty
Step-by-step explanation:
Task 1:
Taxi Cab Company A: $8 per ride and $0.35 per mile
• Write an equation in slope intercept form to represent the cost of a
taxi ride using company A.
Hint: use y=mx+b
OY =
• What does the y-intercept mean in the context of this problem?
Hint: What do you pay to step into the cab?
Using the slope - intercept form to represent the scenario described, the equation obtained would be y = 0.35x + 8
The cost per ride represents the intercept = $8
The cost per mile represents the slope = $0.35
The slope - intercept form of a linear equation is expressed as :
y = bx + c b = slope ; c = interceptTherefore, the slope intercept form for the cost of taxi ride is y = 0.35x + 8
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Help please!!!!!!!!!!!!!!
Answer:
Negative
Step-by-step explanation:
Slope is negative since as x increases, y decreases.
A box of donuts containing 6 maple bars, 3 chocolate donuts, and 3 custard filled donuts is sitting on a counter in a work office. Warren comes along and decides to eat two in a row. What is the probability that Warren will eat a chocolate donut and then a custard filled donut
Probabilities are used to determine the chances of selecting a kind of donut from the box.
The probability that Warren eats a chocolate donut, and then a custard filled donut is 0.068
The given parameters are:
[tex]\mathbf{Bars = 6}[/tex]
[tex]\mathbf{Chocolate = 3}[/tex]
[tex]\mathbf{Custard= 3}[/tex]
The total number of donuts in the box is:
[tex]\mathbf{Total= 6 + 3 + 3}[/tex]
[tex]\mathbf{Total= 12}[/tex]
The probability of eating a chocolate donut, and then a custard filled donut is calculated using:
[tex]\mathbf{Pr = \frac{Chocolate}{Total}\times \frac{Custard}{Total-1}}[/tex]
So, we have:
[tex]\mathbf{Pr = \frac{3}{12}\times \frac{3}{12-1}}[/tex]
Simplify
[tex]\mathbf{Pr = \frac{3}{12}\times \frac{3}{11}}[/tex]
Multiply
[tex]\mathbf{Pr = \frac{9}{132}}[/tex]
Divide
[tex]\mathbf{Pr = 0.068}[/tex]
Hence, the probability that Warren eats a chocolate donut, and then a custard filled donut is approximately 0.068
Read more about probabilities at:
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which number will reach if we move 6 steps to the right -3
Answer:
If you meant -3 + 6, then the correct answer is 3.
You should put some extra effort in composing questions with all the required information, like a picture maybe.
Answer:
your answer has to be 3
Step-by-step explanation:
if you were to move to the right in number line you have to add so -3+6 is equals to 3
What is the solution of the system of equations?
your desmos graph is really weird as the point is between 4 and 8 but with the one y=-x+5 we can see that the y intercept is 5 and the x value is 0
so the point is 0,5
For a certain company, the cost function for producing x items is C(x)=30x+150 and the revenue function for selling x items is R(x)=−0.5(x−90)2+4,050. The maximum capacity of the company is 130 items.
The profit function P(x) is the revenue function R(x) (how much it takes in) minus the cost function C(x) (how much it spends). In economic models, one typically assumes that a company wants to maximize its profit, or at least make a profit!
Answers to some of the questions are given below so that you can check your work.
Assuming that the company sells all that it produces, what is the profit function?
P(x)=
Preview Change entry mode .
Hint: Profit = Revenue - Cost as we examined in Discussion 3.
What is the domain of P(x)?
Hint: Does calculating P(x) make sense when x=−10 or x=1,000?
The company can choose to produce either 60 or 70 items. What is their profit for each case, and which level of production should they choose?
Profit when producing 60 items =
Number
Profit when producing 70 items =
Number
Can you explain, from our model, why the company makes less profit when producing 10 more units?
Profit, revenue and cost are related, and can be calculated from one another.
The profit function is [tex]\mathbf{P(x) =-0.5(x -90)^2 - 30x + 3900}[/tex]The domain of the profit function is x > 0The profit when producing 60 items is 1650The profit when producing 70 items is 1600The cost function is given as:
[tex]\mathbf{C(x) =30x + 150}[/tex]
The revenue function is given as:
[tex]\mathbf{R(x) =-0.5(x -90)^2 + 4050}[/tex]
(a) Calculate the profit function
This is calculated using:
[tex]\mathbf{P(x) = R(x) - C(x)}[/tex]
So, we have:
[tex]\mathbf{P(x) =-0.5(x -90)^2 + 4050 - 30x - 150}[/tex]
Evaluate like terms
[tex]\mathbf{P(x) =-0.5(x -90)^2 - 30x + 3900}[/tex]
(b) The domain of the profit function
When profit is 0 or less, then it becomes no profit.
Hence, the domain of the profit function is x > 0
(c) The profit for 60 and 70 items
Substitute 60 and 70 for x in P(x)
[tex]\mathbf{P(60) =-0.5(60 -90)^2 - 30 \times 60 + 3900}[/tex]
[tex]\mathbf{P(60) =1650}[/tex]
The profit when producing 60 items is 1650
[tex]\mathbf{P(70) =-0.5(70 -90)^2 - 30 \times 70 + 3900}[/tex]
[tex]\mathbf{P(70) = 1500}[/tex]
The profit when producing 70 items is 1600
(d) Why producing 10 more units less profit
When a function reaches the optimal value, the value of the function begins to reduce.
This means that, producing 10 more units takes the profit function beyond its maximum point.
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HELP FAST, I'LL GIVE BRAINLIEST, 50 POINTS!!!
-2.25+0.4x=-2.8
Solve and show your steps in both fraction form, and decimal form
Answer:
Decimal = -1.375, Fraction = -11/8
Step-by-step explanation:
Decimal:
-2.25 + 0.4x = -2.8
0.4x = -0.55
x = -1.375
Fraction:
-9/4 + 2/5x = -14/5
-45/20 + 8/20x = -56/20
8/20x = -11/20
x = -11/8
Hopefully this helps!
Brainliest please?
Add. 4 7/12 plus 2 3/4 plus 7 5/12 =
Answer:
12 9/12
Step-by-step explanation:
Answer:
exact form- 59/4
mixed numbers- 14 3/4
decimal- 14.75
A restaurant has an electronic system that randomly selects customers when they pay for their meal to receive a coupon for their next visit. Each customer has a 10\%10%10, percent probability of being selected to receive a coupon, and one customer being selected or not doesn't affect whether or not another customer will be selected.
Suppose that 222 customers pay for their meals, one after the other.
What is the probability that NEITHER customer is selected to receive a coupon?
Round your answer to two decimal places.
Answer:
Step-by-step explanation:
Using the binomial distribution, it is found that there is a 0.81 = 81% probability that NEITHER customer is selected to receive a coupon.
For each customer, there are only two possible outcomes, either they receive the coupon, or they do not. The probability of a customer receiving the coupon is independent of any other customer, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
0.81 = 81% probability that NEITHER customer is selected to receive a coupon.
The sum of two numbers is 65. The larger number is 5 more than the smaller number. What are the numbers?
Answer:
30 and 35
Step-by-step explanation:
Put this question into equation form:
Let x be the smaller number, if the larger number is 5 more and the total is 65:
x + 5 + x = 65
2x + 5 = 65
Subtract 5 from both sides
2x + 5 - 5 = 65 - 5
2x = 60
Divide both sides by 2:
2x ÷ 2 = 60 ÷ 2
x = 30
As the larger number is 5 bigger:
30 + 5 = 35
So the two numbers are 30 and 35.
Hope this helps!
Answer:
Small number 30
Large Number 35
Step-by-step explanation:
The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:
x + y = 65
The difference between x and y is 5. In other words, x minus y equals 5 and can be written as equation B:
x - y = 5
Now solve equation B for x to get the revised equation B:
x - y = 5
x = 5 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 65
5 + y + y = 65
5 + 2y = 65
2y = 60
y = 30
Now we know y is 30. Which means that we can substitute y for 30 in equation A and solve for x:
x + y = 65
x + 30 = 65
X = 35
Therefore the large and small number us 35 and 30 respectively.
$4800 is 60% of what number?
Answer:
8000
Step-by-step explanation:
Solve the following:
1. What is the sum of 45.363, 90,4506 and 12.045?
2. What is the difference when 12.3456 subtracted from 89.05?
3. When 562.456 added to 212.0536, what is the answer?
4. Take away 34.4568 from 79.56. What is the result?
5. What is the answer when 145.63 increased by the difference of
236.14 and 56.3456?
SHOW YOUR SOLUTIONS
Answer:
Do in calculator simple answer
Find the missing side of the triangle. Round to the nearest tenth where necessary find qr
Answer:
QR = 4.9 ft
Step-by-step explanation:
Since the triangle is a right triangle, use the Pythagorean Theorem (a² + b² = c²).
[tex]a^2+b^2=c^2\\\\a^2+1^2=5^2\\\\a^2+1=25\\\\a^2=24\\\\\sqrt{a^2}=\sqrt{24}\\\\a=4.9[/tex]
escape resort rents snowshoes in the winter the resort changes charges seven dollars per day and a flat fee of three dollars to cover cleaning right in equation that shows how the cost why depends on the length of the rental and days X do not include $in the equation
Answer:
Y=7x+3
Step-by-step explanation:
Complete the table for the provided graph.
The diameter of the smallest visible particle is 0.0002 in. Express this number in scientific notation.
Answer:
Diameter = 2 × [tex]10^{-4}[/tex] inches
Step-by-step explanation:
Given the diameter of the smallest visible particle, 0.0002 inches, we can express this into the following scientific notation: 2 × [tex]10^{-4}[/tex] inches.
In expressing decimal forms into scientific notation, the goal is to move the decimal point towards the right, until there is only one non-zero digit remaining towards the left-side of the decimal point. In this case, it will take 4 units towards the right of the sole non-zero digit, which is 2. Moving the decimal point towards the right means that 10 will have a negative exponent.
Therefore, the scientific notation of 0.0002 inches is 2 × [tex]10^{-4}[/tex] inches.
Answer:
2·[tex]10^{-4}[/tex]
Step-by-step explanation:
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.23.
How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 98% confidence level with an error of at most 0.03? Round your answer up to the next integer.
Using the z-distribution, it is found that a sample size of 1066 is required.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of .
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
From the previous study, the estimate is of 0.23, hence [tex]\pi = 0.23[/tex].
98% confidence level, hence[tex]\alpha = 0.98[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.98}{2} = 0.99[/tex], so [tex]z = 2.327[/tex].
The sample size is n for which M = 0.03, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 2.327\sqrt{\frac{0.23(0.77)}{n}}[/tex]
[tex]0.03\sqrt{n} = 2.327\sqrt{0.23(0.77)}[/tex]
[tex]\sqrt{n} = \left(\frac{2.327\sqrt{0.23(0.77)}}{0.03}\right)[/tex]
[tex](\sqrt{n})^2 = \left(\frac{2.327\sqrt{0.23(0.77)}}{0.03}\right)^2[/tex]
[tex]n = 1065.5[/tex]
Rounding up, a sample size of 1066 is required.
A similar problem is given at https://brainly.com/question/12517818
Find the distance from point $A\left(15,-21\right)$ to the line $5x+2y\ =\ 4$ . Round your answer to the nearest tenth.
The distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units
Given the coordinate (15, -21) and the line 5x + 2y = 4
In order to get the point on the line 5x + 2y =4, we can a point on the line
Let x = 0
5(0) + 2y = 4
2y = 4
y = 2
The point (0, 2) is on the line.
Find the distance between the point (15, -21) and (0, 2) using the distance formula
[tex]D=\sqrt{(2+21)^2+(0-15)^2} \\D=\sqrt{23^2+15^2}\\D=\sqrt{754}\\D= 27.46units[/tex]
Hence the distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units
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if 9/24 equals 3/x , then x is ____
[tex]\\ \sf\longmapsto \dfrac{9}{24}=\dfrac{3}{x}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3}{8}=\dfrac{3}{x}[/tex]
[tex]\\ \sf\longmapsto 3x=24[/tex]
[tex]\\ \sf\longmapsto x=24/3[/tex]
[tex]\\ \sf\longmapsto x=8[/tex]
please help to find an explicit formula for calculating the sum Mn
The explicit formula for calculating the sum is
[tex]S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}[/tex]
The sum of the nth term of a sequence is expressed as;
[tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]
a is the first term
d is the common difference
n is the number of terms
For the sequence 0 + 1 + 2 + 3 +...
[tex]S_n=\frac{n}{2}(2(0)+(n-1)1)\\S_n= \frac{n}{2}(n-1)\\S_n= \frac{n(n-1)}{2}[/tex]
Similarly for the sequence:
1 + 2+ 3 + 4+...
[tex]S_n=\frac{n}{2}(2(1)+(n-1)1)\\S_n= \frac{n}{2}(2+n-1)\\S_n= \frac{n(n+1)}{2}[/tex]
Taking the product of the sum to get the explicit formula for calculating the sum
[tex]S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}[/tex]
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A washer and a dryer cost $932 combined. The washer costs $82 more than the dryer. What is the cost of the dryer?
Step-by-step explanation:
43=8c-5 what is the value of c in this equation
Answer:
Move all terms that don't contain c to the right side and solve.
c = 6
Step-by-step explanation:
the quotient of 28
divided by four
increased by 3
Step-by-step explanation:
28 / 4 = 7
7 + 3 = 10
so, 10 is your answer
Answer:
Step-by-step explanation:
28 ÷ 4 = 7
7 + 3= 10
I have more questions then this
Answer:1-1/3
2-16 in.
3-10.49
4-1/10
Step-by-step explanation:
i hope this helps
