566567889988766433678
Rewrite the expression as the sum of two numbers. 4(5 + 8)
Answer:
20 + 32
Step-by-step explanation:
4(5 + 8)
20 + 32 = 52
I hope this helps!
Question 10
If the nth term of a sequence is
3n - 4 what is the 10th term?
Answer:
a₁₀ = 26
Step-by-step explanation:
to find a₁₀ substitute n = 10 into the nth term formula
a₁₀ = 3(10) - 4 = 30 - 4 = 26
x/50=20=40
i need help cux i dont get it
The given linear equation has solutions 1000 and 2000. This are values for which the equation is true.
Solving linear equationsLinear equations are equations that has a leading degree of 1. Given the equation below, we are to determine the value of x from the expression.
Given the linear equation
x/50=20=40
This can be splitted into x/50=20 and x/50 = 40
Solve both equations
x/50=20
Cross multiply
x = 50 * 20
x = 1000
Similarly;
x/50 = 40
Cross multiply
x = 50 * 40
x = 2000
Therefore the solutions to the given system of linear equation are 1000 and 2000
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HELP
What are the similarities and differences do you see between 3 and 4
For example:
Similar: both arithmetic/linear/common difference
Different: #1 is discrete #3 is continuous
WILL GIVE BRAIN
What is 8(1/2+x=-1/3-(-8x-7/3)
Answer:
the answer is no solution
Step-by-step explanation:
Find the measure of
We can conclude that the angle ∠RST is 110°.
What are angles?An angle is a figure in plane geometry that is created by two rays or lines that have a common endpoint. The Latin word "angulus," which means "corner," is the source of the English word "angle." The common endpoint of two rays is known as the vertex, and the two rays are referred to as the sides of an angle.So, as we can see line R and line T are parallel to each other.
Join, R and T with a line that makes a right angle with both lines.(Refer to the image attached below)
Now, we know that ∠R = 90° and ∠SRT = 90 - 60 = 30°.Similarly, ∠T = 90° and ∠STR = 90 - 50 = 40°.In triangle SRT, we know the two angles which are ∠R = 30° and ∠T = 40°.
We know that sum of all angles in a triangle is 180°.So, ∠S in triangle SRT will be:
40 + 30 + ∠S = 18070 + ∠S = 180∠S = 180 - 70∠S = 110Therefore, we can conclude that the angle ∠RST is 110°.
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do you guys know how to solve this? 5/6x +1/2 = 4/5x - 1/6
Answer: x = -20
Step-by-step explanation:
Step 1: Move Like Terms to the Same Side
5/6x - 4/5x = -1/2 - 1/6
Step 2: Multiply by 30 to Remove Fractions
25x - 24x = -15 - 5
Step 3: Combine Like Terms
x = -20
Answer:
The answer is x = -20
Step-by-step explanation:
Did the math
please help asap Evaluate the numerical expression open parentheses 2 to the power of 3 close parentheses to the power of one half.
4
cube root of 4
square root of 8
square root of 128
Answer:
C) square root of 8=====================
Given expressionOpen parentheses 2 to the power of 3 close parentheses to the power of one half.Convert it to math language and simplify[tex](2^3)^{\frac{1}{2} =[/tex] Expression as described[tex](8)^{\frac{1}{2} =[/tex] Cube of 2 is 8[tex]\sqrt{8}[/tex] Different form of square rootCorrect choice is C
Please lmk asap!!! (thank you :))))
The following statements are true about the scaled copy
(b) The angles are whole numbers(c) Has exactly 1 right angle(d) If the scale factor is 1/5, the side lengths are multiplied by 1/5What is dilation?Dilation involves enlarging or reducing the side length of a shape to create another shape by a constant scale factor, where the scale factor does not equal one.
How to determine the true statements in the figure?From the figure, we understand that there is another figure
This figure is the scaled factor of the given figure
As a general rule, the following are the properties of a scaled copy of another figure
If the scale factor is greater than 1, the side lengths would be greater than the original figureIf the scale factor is less than 1, the side lengths would be less than the original figureThe angles of both figures are the sameThe side lengths may or may not be whole numbersUsing the above as a guide, the true statements about the scaled copy are (b), (c), and (d)
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7 9/16÷2 3/4 help me w my math
A bottled water company quality control officer wants to find out how well the label machines are working. He is studying every machine and every bottle to make sure it is usable to a customer. Which represents a population?
the first fifty bottles labeled on Monday morning
one hundred bottles
all the bottles with incorrectly placed labels
all the bottles produced in one day
All the bottles produced in one day represents the population in statistics .
In statistics, a population is a collection of similar things or events that are important to a specific experiment or topic.
A statistical population can be made up of actual objects (such all the stars in the Milky Way galaxy) or hypothetical groups of things that are assumed to be an infinite number of objects based on experience-based generalizations (e.g. the set of all possible hands in a game of poker). A common objective of statistical analysis is to gather information about a chosen community.In statistical inference, a subset of the population (a statistical sample) is chosen to represent the population in a statistical study.The statistical sample must also fairly and accurately represent the population.Since the population represents all the data for a particular time period , in this case we can conclude that the population for the factory will be all the bottles produced in 1 day.
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Help I can’t do this
Answer:
It looks like you want the point slope form of a line
y-4 = -2 (x +3)
Step-by-step explanation:
y -[tex]y_{1}[/tex] = m(x- [tex]x_{1}[/tex]) You plug in 4 for [tex]y_{1}[/tex], -2 for m and -3 for[tex]x_{1}[/tex]
y - 4 =(2(x - -3) x - -3 is the same at x + 3
y-4 + -2(x + 3)
1) If g(x) is a linear function, g(-2) = 6 and g(2) = 18, what is the rate of change? Is this function increasing or decreasing? Show your work!
Answers:
Rate of change = 3
The function is increasing
===================================================
Explanation:
The notation g(-2) = 6 means the input x = -2 leads to the output y = 6. Therefore, the point (-2,6) is on f(x). The other point given is (2,18).
For linear functions, the terms "rate of change" and "slope" are the same thing.
Let's use the slope formula on the two points (-2,6) and (2,18)
[tex](x_1,y_1) = (-2,6) \text{ and } (x_2,y_2) = (2,18)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{18 - 6}{2 - (-2)}\\\\m = \frac{18 - 6}{2 + 2}\\\\m = \frac{12}{4}\\\\m = 3\\\\[/tex]
The slope is 3, which can be written as 3/1
A slope of 3/1 means we go up 3 and to the right 1.
slope = rise/run = 3/1
rise = 3 = go up 3
run = 1 = go to the right 1
Since the slope is positive, this means the line is going uphill as we move to the right. In other words, the function is increasing.
Help me graph the relationship please! I've been stuck on this problem for a week now... :<
Rate of change (m) = 10
Starting amount (b) = 14
It takes 9 days to have 104 boondins.
The equation in slope-intercept form is: y = 10x + 14
Its graph is shown below.
How to Write the Equation of a Line?Where m represents the rate of change and b represents the y-intercept or starting value, the equation of a line can be written in slope-intercept form as:
y = mx + b.
From the information given, the following are given about the line:
x = number of days
y = total number of boondins
If he had 74 boondins in 6 days and he bought 10 more every day, then:
x = 6
y = 74
Starting value (b) = ?
Rate of change (m) = 10
Substitute the values into y = mx + b to find the value of b:
74 = 10(6) + b
74 = 60 + b
74 - 60 = 60 + b - 60
14 = b
b = 14
Therefore:
Rate of change (m) = 10
Starting amount (b) = 14
To write the equation in slope-intercept form, substitute b = 14 and m = 10 into y = mx + b:
y = 10x + 14
To find how many days it takes to have 104 boondins, substitute y = 104 into the equation, y = 10x + 14:
104 = 10x + 14
Solve for x
104 - 14 = 10x
90 = 10x
90/10 = 10x/10
9 = x
x = 9
It takes 9 days.
For 10 days, it would take:
y = 10(10) + 14
y = 114 boondins
The table is:
(x, y)
(0, 14)
(10, 114)
The graph for y = 10x + 14 is given in the attachment.
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The functions f and g are defined as follows.
g(x) = 4x+2
f(x)=3x²-3x
Find f(-5) and g(-4).
Simplify your answers as much as possible.
The value of functions f(-5) and g(-4) are 90 and -14 respectively.
What are functions and how to evaluate them?An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable.In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.Finding the value of f(x) =... or y =... that corresponds to a certain value of x is what it means to evaluate a function. To accomplish this, merely swap whatever value has been set to x into each of the x variables.Given functions are:
g(x) = 4x+2
f(x) = 3x²-3x
We have to find f(-5) and g(-4).
f(x) = 3x²-3x, here in the function we replace the x variables with the value given.
f(-5) = 3x²-3x
= 3(-5)² - 3(-5)
= 75 + 15 = 90
g(x) = 4x+2
g(-4) = 4×(-4) + 2
= -16 + 2 = -14
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Select the correct answer. a charity organization is holding a food drive with a goal to collect at least 1,000 cans of food by the end of the month. it currently has 565 cans from donations and is having an event where 87 guests will attend and bring cans. which solution set represents the number of cans each guest must bring to meet the goal? a. a number line ranges from 0 through 10 from left to the right in increments of 1. a solid circular point is at 3. an arrow extends from the point toward the right. b. a number line ranges from 0 through 10 from left to the right in increments of 1. a hollow circular point is at 5. an arrow extends from the point toward the right. c. a number line ranges from 0 through 10 from left to the right in increments of 1. a hollow circular point is at 3. an arrow extends from the point toward the right. d. a number line ranges from 0 through 10 from left to the right in increments of 1. a solid circular point is at 5. an arrow extends from the point toward the right.
The number of cans each guest must bring to reach the goal must be greater than or equal to 5 by inequality.
What is inequality in math?
In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.Let
x -----> the number of cans each guest must bring to meet the goal
we know that
The number of guests multiplied by the the number of cans each guest must bring to meet the goal plus the currently cans must be greater than or equal to 1,000 cans
so
The inequality that represent this problem is
565 + 87x ≥ 1000
Solve for x
565 + 87x ≥ 1000
Subtract 565 both sides
87x ≥ 1000 - 565
87 ≥ 435
Divide by 87 both sides
x ≥ 435/87
x≥ 5
therefore, The number of cans each guest must bring to reach the goal must be greater than or equal to 5.
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8632/29 8632 dived by 29
Answer:
the answer is
297.6551724138
1. In a student election, Tyler defeated Julia by a ratio of 7 to 6. If there are 221 students
in the grade and all of them voted, how many votes did Julia receive?
A. 119
B. 107
C. 102
D. 89
E. 42
Answer:
c
Step-by-step explanation:
split 221 students in a ratio of 7:6
let x be 1/13th of the votes
221 = 7x + 6x
221 = 13x
17 = x
julia is the 6 in 7:6
6x
6(17)
102
the answer is c
you are in a car race. during a 10 second pit stop, the other cars gain 1/4 mile on you. how much would the other cars gain on you during a 1 min pit stop.
When the pit stop duration is one minute other cars will gain 3/2 miles
Time duration of a pit stop during the car race = 10 seconds
The distance gained by other cars = 1/4 mile
Pit stop: During a race, a racing car makes a pit stop to get fuel, fresh tires, repairs, mechanical adjustments, a new driver, or any combination of the aforementioned. The pits typically consist of a row of garages where the work is done outside and a pit lane that runs parallel to the start/finish straight and is connected to the main track at each end.
When the duration is one minute or 60 seconds, then the distance gained by other cars will be:
Distance gained by other cars in 10 seconds*6 = 1/4*6 = 3/2 miles
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can someone answer this pls Im dying
Answer: The rectangle has 2, and the triangle has 3
Step-by-step explanation:
½a + ¾b + ½a - ½b =
This all im looking for the answer
Answer:
(4a+b)/4
Step-by-step explanation:
Evaluate f(-7) for the function
f(x) = x² + 3x - 12
Answer:
f(- 7) = 16
Step-by-step explanation:
substitute x = - 7 into f(x) , that is
f(- 7) = (- 7)² + 3(- 7) - 12 = 49 - 21 - 12 = 28 - 12 = 16
slope
P(-6, 16), Q(2, -4); R(-6, 14), S(-2, 4)
The slope of the given points is equal to -5/2 or -2.5.
What is a slope?A slope is also referred to as gradient and it's typically used to describe both the direction, ratio, and steepness of the function of a straight line based on its coordinates or points.
How to calculate the slope of a line?Mathematically, the slope of any straight line can be calculated by using this formula;
[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
For the given points P(-6, 16) and Q(2, -4), the slope is given by;
Slope = Δy/Δx
Slope = (-4 - 16)/(2 - (-6))
Slope = (-4 - 16)/(2 + 6)
Slope = -20/8
Slope = -5/2 or -2.5.
For the given points R(-6, 14) and S(-2, 4), the slope is given by;
Slope = Δy/Δx
Slope = (4 - 14)/(-2 - (-6))
Slope = (4 - 14)/(-2 + 6)
Slope = -10/4
Slope = -5/2 or -2.5.
In conclusion, the slope of the line that passes through the given points is equal to -5/2 or -2.5.
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Complete Question:
Find the slope of the given points. P(-6, 16), Q(2, -4); R(-6, 14), S(-2, 4)
Jerald is having drain issues at his home and decides to call a plumber. The plumber charges $70 to come to his house and $50 for every hour they work. If the plumber charges Jerald a total of $285, how many hours did the plumber work?
Write and solve an equation to determine the number of hours worked by the plumber.
50x − 70 = 285; x = 7.1 hours
50x + 70 = 285; x = 4.3 hours
70x − 50 = 285; x = 4.8 hours
70x + 50 = 285; x = 3.4 hours
Answer: B
Step-by-step explanation:
A $70 is fixed, we have to add $50 each hour. So, it will be 70 + 50x. If he charged $285 overall, this means that 70 + 50x = 285
50x = 285 - 70
50x = 215
x = 215/50 = 4.3
Helpppp llsssssssssss
Answer:
Step-by-step explanation:
x = ( -b ± √b² - 4*a*c ) / 2a
3x² - x + 6 = 0
x = ( 1 ± √1 - 4 *3*6) / 2(6)
what is 50 pound in yen if 1 euro is 120 yen and 1 pound is 1.2 euro
50 pound in yen is 7200 yen
What is basic algebra ?Algebra is a branch of mathematics that helps translate real-world situations or problems into mathematical truths. Mathematical operations like addition, subtraction, multiplication, and division are needed in addition to variables like x, y, and z to construct a meaningful mathematical expression. All branches of mathematics, such as calculus, trigonometry, and coordinate geometry, employ algebra. A fundamental algebraic equation is 2x + 4 = 8. Algebraic expressions serve as the mathematical statement when operations such as addition, subtraction, multiplication, division, etc. are done on variables and constants. Let's imagine that while playing with matchsticks, James and Natalie came up with the idea to arrange the sticks into designs that represented numbers.
Given that : 1 euro is 120 yen and 1 pound is 1.2 euro
1 euro = 120 yen
1 pound = 1.2 euro
1 pound = 1.2 × 120 yen
1 pound = 144 yen
50 pound = 144 ×50
= 7200 yen
50 pound in yen is 7200 yen
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What is the sequence of transformations that maps ABC to A’B’C’
Step 1:
A. Reflect across the line Y=X
B. Reflect across the x-axis
C. Rotate 90° clockwise about the origin.
D. Rotate 180° about the origin
Step 2:
A. Translate 6 units up
B. Translate 5 units up
C. Reflect across the line y=x
D. Reflect across the x-axis
Answer:
Yes, reflecting a shape across the x-axis and then rotating it 90° clockwise about the origin gives the same results as reflecting it
Step-by-step explanation:
Answer: step 1 = C step 2 = A
Step-by-step explanation: 190 abc 123
You have $48 to buy tickets at the carnival. The tickets cost $8 for 15 tickets. How many tickets can you buy? 9 The water ride costs 12 tickets, and the ferris wheel costs 15 tickets. You want to ride the water ride 3 times and ride the ferris wheel 3 times. How many tickets do you have remaining? 9 A. 12 B. 9 C. 7
Answer:
the answer would be 9 tickets left
Step-by-step explanation:
8x6=48
15x6=90
12x3 + 15x3=81
90-81=9
9 tickets left
What is the value of x? (1 point)
1. 24
2. 9
3. 21
4. 14
(i forgot the picture the first time)
(5x+15)°+(3x-3)°=180°(CO-INTERIOR ANGLES)
[tex]5x + 15 + 3x - 3 = 180 \\ 5x + 3x = 180 - 15 + 3 \\ 8x = 168 \\ \frac{8x}{8} = \frac{168}{8} \\ x = 21[/tex]
ATTACHED IS THE SOLUTION
A chocolate power bar has 4 grams of fat, 23 grams of protein, and 45 grams of carbohydrates. How many Calories does this Power bar provide?
Answer:
308 Calories are provided by the Powerbar.
Step-by-step explanation:
Use the typical amounts shown for each nutrient first to calculate how many calories each one provides:
Fat: 4 grams x 9 kcal/gram = 36 kcals.
Protein: 23 grams x 4 kcal/gram = 92 kcals.
45 grams x 4 kcal/gram of carbohydrates equals 180 kcal.
To determine the total calories, add up all the Calories from each nutrient as follows:
92 calories from protein and 36 calories from fat equal 308 calories.
The Powerbar contains 308 calories.
Answer:
Total Calories = (4*9) + (23*4) + (45*4)
36+92+180 = 308 Calories
To calculate total calories we first need to convert total fat, protein, and carbohydrates into calories
1 gram of protein = 4 calories
1 gram of fat = 9 calories
1 gram of carbohydrates = 4 calories