Hence, the solution is [tex]-11[/tex].
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given that,
[tex]5(2x - 1) - 11x[/tex]
When [tex]x=6[/tex]
[tex]5(2x-1)-11x=5(2(6)-1)-11(6)\\=5(12-1)-66\\=5(11)-66\\=55-66\\=-11[/tex]
Hence, the solution is [tex]-11[/tex].
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As a project manager, you need to plan production runs over the next 3 1/2 weeks. If your team is able to produce 1,250 widgets in one week, how many widgets can they produce in 3 1/2 weeks?
Answer: 4,375.
Step-by-step explanation: If your team is able to produce 1,250 widgets in one week, then in 3 1/2 weeks, they will be able to produce 3 1/2 * 1,250 = <<3.5*1250=4375>>4,375 widgets.
Cari is searching online for airline tickets. Two weeks ago, the cost to fly from boston to denver was $220. Now the cost is $295. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
The percent increase with the additional baggage fee for airline would be $125 / $220 x 100% = 56.82%.
What is meant by the term percentage?A number can be expressed as a fraction of 100 using a percentage. It may be computed by dividing the number by the total and multiplying by 100. It is commonly represented by the sign "%". The percentage of men, for instance, would be 25/100 x 100, or 25%, if there were 100 persons in all.
In a variety of areas, including statistics, finance, and education, percentages are often employed. For instance, in finance, percentage increase in stock prices are used to gauge a market's or company's success. In education, grades are frequently given as percentages to represent class marks.
How to solve?
The increase in the cost of the ticket is $295 - $220 = $75
The percent increase is $75 / $220 x 100% = 34.09%.
If the airline charges an additional $50 baggage fee, the new ticket price would be $295 + $50 = $345.
The increase in the cost of the ticket with the additional baggage fee would be $345 - $220 = $125.
The percent increase with the additional baggage fee would be $125 / $220 x 100% = 56.82%.
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An urn contains 100 marbles. Fifty are purple, ten are green,
fifteen are red, and twenty-five are orange. Two marbles are drawn
at random one after another without replacement. Calculate each probability.
The probability of picking a purple and green marbles is 0.05.
What is a probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
Number of purple marble = 50
Number of green marbles = 10
Total number of marbles = 100
The probability of picking a purple and green marbles will be:
= 50/100 × 10/99
= 0.05
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Complete question
A urn contains 100 marbles. Fifty are purple, ten are green, fifteen are red, and twenty-five are orange. Two marbles are drawn at random one after another without replacement. Calculate the probability of picking a purple and green marbles
Greg works two part time jobs. One job is at a gas station that pays $12 an hour and the other is delivering groceries for $15.50 an hour. Between the two jobs Greg wants to earn at least $390 a week. Let x be the number of hours he works at the gas station and let y be the number of hours he works delivering groceries. Write an inequality that models this situation.
The required inequality model for this situation is 12x + 15.5y ≥ 390.
What are inequalities?
The mathematical expressions with inequalities are those with unequal sides on both sides. Unlike equations, we compare two values when we work with inequality. The equal sign is substituted between by the less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
"A connection is termed an inequality if two real numbers or algebraic expressions are connected by the symbols ">,"< "," <="," or ">=."
For instance, x>3 (x should be greater than 3)
If there is just one variable, the inequality is said to have an open sentence.
Instance: x 6 (x is less than 6)
Double Inequalities: If the statement demonstrates a double relation between the expressions or the numbers, the inequality is said to be a double inequality.
Instance: 3 x 8 ( x is greater than or equal to 3 and less than 8)
Given, the gas station pays $12 an hour and delivers groceries for $15.50 an hour.
And, x be the number of hours he works at the gas station and let y be the number of hours he works delivering groceries.
Then, total earnings in gas station = 12x
total earnings for delivering groceries = 15.5y
So, based on the given inequality condition
12x + 15.5y ≥ 390
Hence, the required inequality model for this situation is 12x + 15.5y ≥ 390.
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What is the average rate of change of this function on the interval from x = 1 to x = 3? f(x)=10(2)x Enter your answer in the box.
Answer:
30
Step-by-step explanation:
The way to figure out the average rate of change is to divide the change in f(x) and divide that by the change in x. A formula for this is [tex]\frac{f(x_{1})-f(x_{2})}{x_{1}-x_{2}}[/tex]
1.) By this definition, we need to figure out our x1 and x2. We can say the x1 = 3 and x2 = 1
2.) Next, we plug it into the formula. We will get [tex]\frac{f(3)-f(1)}{3-1}[/tex].
3.) If we simplify, we will get 10(2)^3 - 10*2 divided by 2, which is equal to 10*4 - 10 = 30.
Evaluate the expression when a=10 .
a/4+1/3 =
Answer:
Step-by-step explanation:
-7(1+9a) have no idea how to do this
Answer:
-7-63a
Step-by-step explanation:
-7(1 + 9a)
(use the distributive property of multiplication to simplify)
-7-63a
During WW! mortars were fired from trenches 3 feet down The mortars had a velocity of 150 ft/s. Determine how long it will take for the mortar shell to strike its target?
In 0.02 seconds, the mortar shell will make contact with the target.
How to determine the time it will take the mortar shell to strike the targetThe formula for velocity, which is equal to distance / time, is used to calculate how long it will take to hit the target.
In the problem, the distance is 3 feet, and the velocity is given to be 150ft/s
therefore
150 = 3 / time
time = 3 / 150
time = 0.02 seconds
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What is the range of the function?
f(x)=3x−1−2
Enter your answer, in interval notation, in the box.
range:
The range of a function f(x)=3ˣ⁻¹-2 is (-2, ∞)
What is meant by a function?A function from a set X to a set Y in mathematics assigns to each element of X exactly one element of Y. The domain of the function is the set X, and the codomain of the function is the set Y.
The first known attempt to define function can be found in the writings of Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. The concept of a function was codified in terms of set theory at the end of the nineteenth century, which substantially expanded its realms of applicability. The range of possibilities for variation or the distances between them: pricing for various grades of steel; a variety of designs. a thing's operation or action's reach or extent: accessible to the eye. a projectile's range is how far a weapon can or will shoot it.
Given,
f(x)=3ˣ⁻¹-2
Range=(-2, ∞)
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Translate the following phrase into an algebraic expression. Do not simplify. Use the variable names "x" or "y" to describe the unknowns.
the product of two numbers divided by 5
Step-by-step explanation:
xy/5
.........
....................
Jenny had 947 marbles.
She gave 515 of these marbles away.
How many marbles does she have left?
Answer: 432
Step-by-step explanation: 947- 515 = 432.
My subtracting 515 from 947, the answer becomes 432. You can double check this statement by adding 515 and 432 together.
6. Alex says he can find the product for
(3 X 5) X 2 by solving 3 X (5 × 2).
Is Alex correct?
Answer: Yeah
Step-by-step explanation: Multiplication can be done in any order, so using parenthesis to denote which numbers to multiply first should not matter.
ILL GIVE BRAINLIESTTTT PLEASE HELP ILL GIVE BRAINLIESTTTT
Answer:
c) Propability of rolling doubles=6
Propability of rolling a sum grrater then or equal to 8 = 15
(Together add up to 21)
d)6 ->(1,1)(1,2)(1,3)(2,1)(2,2)(3,1)
e)9 ->(1,6)(3,4)(5,2)(3,5)(5,3)(3,6)(5,4)(5,5)(5,6)
"Let U={b, c, d, e, f, g, h} and A={b, f, g, h}. Use the roster method to write the set A'
A'= {____ }
(Use a comma to separate answers as needed.)"
If U = {b, c, d, e, f, g, h} and A = {b, f, g, h}, using the roster method to write the set A' which is the set complement of A gives; A' = {c, d, e}
How to find the complement of the set?Sets are defined as groups of clearly specified components. The number of items that exist in a finite set is denoted by a curly bracket.
We are given;
Universal Set U = {b, c, d, e, f, g, h}
Subset A = {b, f, g, h}.
The roster method to write the set A' which is the complement of A will be expressed as;
A' = U - A
Thus;
A' = {b, c, d, e, f, g, h} - {b, f, g, h}
A' = {c, d, e}
The roster method to write the set A' will be {c, d, e}.
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10/8 = n/10 proportions please
[tex]\displaystyle n=\frac{25}{2}[/tex]
Step-by-step explanation:A proportion is a set of equal ratios.
Cross Multiplication
The most common (and easiest) way to solve a proportion is cross multiplication. To cross-multiply, multiply the numerators by the opposite denominators. So, you are multiplying across the proportion.
After cross multiplying you get 10*10 = 8n.
Solving For n
Now, we can use algebra to find n.
100 = 8nJust, divide both sides by 8.
[tex]n=\frac{100}{8}[/tex]Then, simplify.
[tex]n=\frac{25}{2}[/tex]Checking The Answer
To check your answer all you have to do is plug n back into the equation.
[tex]\frac{10}{8}=\frac{25/2}{10}[/tex]This can be rewritten as
[tex]\frac{10}{8}= \frac{25}{2} *\frac{1}{10}[/tex]Then, the right side can be solved.
[tex]\frac{10}{8}= \frac{10}{8}[/tex]Zeg has $9.20 left on a gift card to the candy store. He has the following items in his shopping basket: 2 giant lollipops, 3 popcorn balls, 1 candy bar and 5 candy sticks . Zeg wants to buy two more items name two more possible items he can buy using his gift card
Answer:
Zeg can buy a candy stick and a Popcorn ball.
Step-by-step explanation:
After calculating the total based on the following:
Candy bars are $0.99, Candy sticks are $0.45, Giant lollipops are $1.75, and Popcorn balls are $0.50.
the total was $8.24. [tex]9.20[/tex] [tex]-8.24 = 0.96[/tex] The only two items that can fit into this are a popcorn ball, and a candy stick.
Which of the following points lie on a line that passes through the origin with a slope of −25? Select all that apply. Multiple select question. cross out A) (0, 0) cross out B) (1, −25) cross out C) (−2, 5) cross out D) (−1, 25) cross out E) (4, 10) cross out F) (−5, 2)
The points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).
What is the general equation of a straight line?The general equation of a straight line is : y = mx + c.
[m] is called slope and it tells the unit rate of change in [y] with respect to [x].
[c] is called the [y] - intercept.
We have some points that lie on a line that passes through the origin with a slope of −25.
The equation of a straight line that passes through the origin and has slope of -25 will be -
y = - 25x
The points that will lie on the line will be -
(0, 0) , (1, - 25) , (- 1, 25)
Therefore, the points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).
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If $8000 is invested at an annual interest rate of 5% and compounded annually, what is the balance after 4 years?
Answer: 7 years
Step-by-step explanation:
We make the assumption that 8000 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $10\%=8000$.
Step 4: In the same vein, 100%=8000$.
So divide that by 5% 0.05%
Then multiply it by 5 0.0025%
Then convert it into money 26$
need help with this one keep getting wrong answer
Answer:
try socratic
Step-by-step explanation:
which property in math is (n+2.9)+0.3=n+(2.9+0.3)
Notice that the order the numbers are written on both sides is the same:
n, then 2.9, then 0.3
Because the order is the same and all that changed were the parentheses (the way the numbers were grouped), this is the associative property of addition.
The associative property is about the groupings. You can remember this by thinking about that fact that associations are groups.
write an algebraic expression that marshall can use to determine the total cost of buying a watermelon that weighs w pounds and some tomatoes that weigh t pounds. How much will it cost to buy a watermelon that weighs 18 1/2 pounds and 5 pounds of tomatoes if watermelon cost $0.68 and the tomatoes cost $3.25
Answer: The cost will be a total of $142.05. That is $125.80 for a Watermelon that weighs 185 lbs and $16.25 for 5 lbs of tomatoes.
Step-by-step explanation:
Given: Watermelons are 0.68 / lb and tomatoes are 3.25 / lb.
Let w = watermelon weight
Let t = tomato weight.
An equation would be:
.68w + 3.25t = Total cost
For 185 lb of Watermelon and 5 lbs of tomatoes:
.68(185) + 3.25(5) =
$125.80 + $16.25 = $142.05
2. How much is 50 percent of 1025
Please help me on this question and thank you!
Answer:
{YH, YT, BH, BT, TH, TT}
where Y = yellow, B = blue, T = turquoise
H = heads, T= tails
6 possible outcomes
Step-by-step explanation:
There are 2 independent events
Spinner which can land on one of three colors - Yellow(Y), Blue(B) and Turquoise(T)
Flipping a coin which has two outcomes Heads(H) and Tails(T)
Both events are independent of each other
So the sample space is:
{YH, YT, BH, BT, TH, TT}
Total of 6 outcomes
20 points and brainliest
Answer:
A,B,C
Step-by-step explanation:
the number in x has to be a different number it can't be the same
example:
2x+3=5x+79
wrong way:
5x+3=5x+79
that equals no solution
hope this helps
(-6) • (-2) what is it the
[tex]\fbox{12}[/tex]
When multiplying two negative numbers, the answer will always be positive.
[tex]-6\times-2[/tex]
[tex]=12[/tex]
if you have a square with a length of 5x, write an expression for the perimeter of the square.
The perimeter of a square with a length of 5x can be represented by the expression 45x. This is because the perimeter of a square is equal to the length of any side of the square multiplied by the total number of sides, which is 4 for a square. So, for a square with a length of 5x, the perimeter would be 45x, or 20x.
The perimeter of a rectangle is 34 centimeters. The length is two more than twice the width. Find the length and the width of the rectangle.
The length of a rectangle is 12 units and width is 5 units.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
To determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given that the Perimeter of a rectangle = 34 cm.
and, length is two more than twice the width.
Thus the width be x.
So, the length = 2x + 2
So,
Perimeter of rectangle = 2 ( l +w )
34 = 2( x+ 2x+ 2)
17 = 3x +2
3x = 15
x= 5
2(5)+2 = 12
So, The length is 12 units and width is 5 units.
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The graph shows the amount of gas that Dario's car uses to travel different distances.
Complete the statement about the graph.
Gas Mileage
100
The number of miles is always
20
times
90
the number of gallons of gas.
80
70
Dario's car can travel
?
miles using
60
12 gallons of gas
Distance Traveled (miles)
50
40
30
20
.
10
0
0 1 2 3
4 5 6 7 8 9 10
Gas (gallons)
Answer: 46 miles
Step-by-step explanation: according to my calculations i minus te total mileage gas times the current philosphy of the number of gallons with 50 - 30
Which equation represents a line passing through the point (8, 33) with a slope of 3?
Answer:
y = 3x + 9
Step-by-step explanation:
y = 3x + b
33 = 3(8) + b
33 = 24 + b
b = 9
y = 3x + 9
Could you please give me brainliest for this? Thank you!
Suppose the following estimated regression equation was determined to predict salary based on years of experience.
Estimated Salary=22,717.59+2732.16(Years of Experience)
What is the estimated salary for an employee with 7 years of experience?
The estimated salary for an employee with 7 years of experience will be;
⇒ Estimated Salary = 41,842.71
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The estimated regression equation was determined to predict salary based on years of experience is,
⇒ Estimated Salary = 22,717.59 + 2732.16(Years of Experience)
Now,
Since, The equation is,
⇒ Estimated Salary = 22,717.59 + 2732.16(Years of Experience)
Hence, The estimated salary for an employee with 7 years of experience will be;
⇒ Estimated Salary = 22,717.59 + 2732.16 × 7
⇒ Estimated Salary = 22,717.59 + 19,125.12
⇒ Estimated Salary = 41,842.71
Thus, The estimated salary for an employee with 7 years of experience will be;
⇒ Estimated Salary = 41,842.71
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