what is the solution to the equation 5x - 2 = 2x + 13
Answers
Answer:
x=5
Explanation:
Given the equation:
\(5x-2=2x+13\)First, we begin to collect like terms by adding 2 to both sides.
\(\begin{gathered} 5x-2+2=2x+13+2 \\ 5x=2x+15 \end{gathered}\)Next, subtract 2x from both sides.
\(\begin{gathered} 5x-2x=2x-2x+15 \\ 3x=15 \end{gathered}\)Finally, divide both sides of the equation by 3.
\(\begin{gathered} \frac{3x}{3}=\frac{15}{3} \\ x=5 \end{gathered}\)The solution to the equation is 5.
Related Questions
An alligator walks 6/7 of a mile in 3/4 of an hour. What is the unit rate
Answers
Answer: 2 miles per hour
Step-by-step explanation: This is a fraction equal to
6 miles ÷ 3 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 3
6 miles ÷ 3
3 hours ÷ 3
=
2 miles
1 hour
=
2 miles
hour
= 2 miles per hour
what percent of 40 is 50?
Answers
Answer:20
Step-by-step explanation:
Answer:
the percent of 40 is 50
the answer to this is 10
Correct answer please somebody answer plzzzzzzzz ASAP
Answers
Answer:
Step-by-step explanation:
Answer:
t=1.25j
Step-by-step explanation:
5/4 = 1.25
5 goes first because its time
PLEASE ANSWER THIS AND IF YOU DO YOU GET
1. FOLLOW
2. BRAINLIEST
Answers
Answer:
i will give you the answer
Step-by-step explanation:
but what do you need
do you need intersect,slope,y=mx+b form?
After watching baking shows on T.V., Angie signs up for a cake-decorating class. To practice her new skills, she decorates a batch of cupcakes with sugar flowers. Angie puts 4 sugar flowers on each cupcake. In all, Angie puts 32 sugar flowers on the cupcakes.
Which equation can you use to find the number of cupcakes c Angie decorates?
Solve this equation for c to find the number of cupcakes Angie decorates.
Answers
Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.
To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.
4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.
To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8
Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8
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What is the equation of the line that has a slope of -3 and goes through the point (3, -1)?
Answers
I think!!
Answer:
y = -3x + 8
Step-by-step explanation:
plug in the slope of -3 and the point (3, -1) into the equation: y = ax + b to find b. (the slope of -3 = a)
=> -1 = 3(-3) + b
=> b = 8
plug in b= 8 & the slope of -3 into the equation: y = ax + b
=> y = -3x + 8
Ganesh spends 60% of his income every month and saves Rs 11120 in a month. Find his monthly income and expenditure.
Answers
Monthly income and expenditure of Ganesh will be-16680
Let Ganesh's monthly income be x
The problem can be solved using linear equation
The amount of 60% of his salary is spent which can be written as 60% of x or 0.6x
The amount of money saved by Ganesh = total salary - amount spent
= x - 0.6x
= 0.4x
The amount of savings made by Ganesh as per the question = 11120
Lets equate both the equation
0.4x = 11120
x = (11120 × 100)/ 40
x = 27800
Hence, Ganesh's monthly salary comes out to be 27800
Ganesh's monthly expenditure = 0.6 x= 0.6 × 27800 =16680
What is a linear equation in math?
A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line
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Which would be appropriate compatible numbers to use to estimate (19 4/5) (4/6) A. 16(1/3) B. 19(2/3) C. 20(1/2) D. 20(1)
Answers
Answer:
C. 20(1/2)
Step-by-step explanation:
Let's find the value of the expression before looking for the nearest estimate
(19 4/5) (4/6) = 19 *(4/5)(4/6)
(19 4/5) (4/6) = 19(16/30)
(19 4/5) (4/6) = 19(8/15)
(19 4/5) (4/6) = (19*8)/15
(19 4/5) (4/6) = 152/15
(19 4/5) (4/6) = 10(2/15)
A. 16(1/3) =5.33
B. 19(2/3) = 12.667
C. 20(1/2) = 10
D. 20(1)= 20
The nearest to the expression is C. 20(1/2)
What is the 25th term of this arithmetic sequence?
{8, 5, 2,-1,-4, ...}
Type the correct answer in the box. Use numerals instead of words.
Answers
Answer:
Continue the pattern 24 more times by multiplying 24 terms with 3 subtracted per term
24x3=72
subtract 72 to find the term
8-72=-64
Should be -64 but we will still continue the pattern to double check
8,5,2,-1,-4,-7,-10,-13,-16,-19,-22,-25,-28,-31,-34,-37,-40,-43,-46,-49,-52,-55,-58,-61,-64
-64 is the 25th term
Hope this helps
Step-by-step explanation:
Write the next three terms of the arithmetic sequence. 7/8, 3/4, 5/8, 1/2,
Answers
Answer:
your answer is 3/8
Step-by-step explanation:
this should be correct cause after 3/8 is a 1/4
Data Classification For the given datasets, circle the data classification (categorical or quantitative) and type of data (Nominal or Ordinal or Continuous or Discrete). A. Height of sunflowers in a field. 1. Categorical or Quantitative 2. Nominal or Ordinal or Continuous or Discrete B. Jersey color of all the NCAA football teams.1. Categorical or Quantitative 2. Nominal or Ordinal or Continuous or Discrete
Answers
the data classification (categorical or quantitative) and type of data (Nominal or Ordinal or Continuous or Discrete)
A. Height of sunflowers in a field.
1.Quantitative
2.Continuous
B. Jersey color of all the NCAA football teams.
1.Categorical
2.Nominal
A. Height of sunflowers in a field.
1.Quantitative
2.Continuous
B. Jersey color of all the NCAA football teams.
1.Categorical
2.Nominal
Data classification is a process of organizing data into categories based on their characteristics, attributes, or features. There are two main types of data classification:
Categorical Data: Data that can be divided into categories or classes. For example, color, gender, and type of cuisine are all examples of categorical data. Categorical data can be further classified into two types:
a. Nominal Data: Data that does not have an inherent order or ranking. For example, hair color, eye color, and favorite movie are all examples of nominal data.
b. Ordinal Data: Data that has a natural order or ranking. For example, education level (high school, college, postgraduate), star rating (1 star, 2 stars, 3 stars), and satisfaction level (very unsatisfied, unsatisfied, neutral, satisfied, very satisfied) are all examples of ordinal data.
Quantitative Data: Data that can be measured and expressed as a number. For example, height, weight, and time are all examples of quantitative data. Quantitative data can be further classified into two types:
a. Continuous Data: Data that can take on any value within a specified range. For example, height, weight, and temperature are all examples of continuous data.
b. Discrete Data: Data that can only take on specific values. For example, number of children in a family, number of pets, and number of rooms in a house are all examples of discrete data
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In the given equation, b is a positive constant.
The sum of the solutions of the equation is 5.
What is the value of b?
x²(x+3)(x - b) = 0
Answers
Answer: b = 8
Step-by-step explanation:
From the equation, we can see that x = 0 is one of the solutions. This means that the remaining solutions must add up to 5.
Let's factor the equation and set each factor equal to zero:
x²(x+3)(x - b) = 0
x = 0 or x + 3 = 0 or x - b = 0
Solving for x in each case, we get:
x = 0 or x = -3 or x = b
Since the sum of the solutions is 5, we can write:
0 + (-3) + b = 5
Simplifying, we get:
b - 3 = 5
Adding 3 to both sides, we get:
b = 8
Therefore, the value of b is 8.
b = 8.
Step by step solved:
Since the equation is equal to zero, it can be factored into three parts: x²=0, x+3=0, and x-b=0.
The solutions for x²=0 are x=0 and x=0 (a double root).
The solution for x+3=0 is x=-3.
The solution for x-b=0 is x=b.
Therefore, the sum of the solutions is 0 + 0 + (-3) + b = 5.
Simplifying the equation, we get b = 8.
So the value of b is 8.
On the spinner below, what is the probability of spinning a 2 or a 3?
Answers
Answer:
2by1 or
3 by 1
depends on your questions
Step-by-step explanation:
hope it help you
I’ll give brainliest what’s the surface area of the triangular pyramid
Answers
Answer:
128.22
Explanation:
A = 6 * 5.2 + 6 * √ (5.2 / 2)² + (8.2)² + 5.2 * √ (6 / 2)² + (8.2)²
What is the slope of a line graphed below?
Answers
Answer:
Undefined
Step-by-step explanation:
The slope of a horizontal line is zero. The slope of a vertical line is undefined.
A number is randomly selected from ">{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
A is represented by the event that the number picked is greater than 7.
What is the probability of the complement of event A?
3/10
2/5
3/5
7/10
Answers
Answer:
7/10
Step-by-step explanation:
P(A) is 3/10
P(not A) is 7/10
Ms Greene class has two chameleons. Lumpy total length is 12 inches and Larry is 6 inches. Each of their fails is twice as long as its body. How long is lumpy tail
Answers
Miss Lianto mowed 2 7 of her lawn. Her son mowed 1 3 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
8/21 of the lawn still needs to be mowed.
To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.
Miss Lianto's fraction: (2/7) x (3/3) = 6/21
Son's fraction: (1/3) x (7/7) = 7/21
To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:
Combined fractions mowed: 6/21 + 7/21 = 13/21
So, Remaining fraction: 1 - 13/21 = 8/21
Therefore, 8/21 of the lawn still needs to be mowed.
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Round 18,792 to the nearest thousand is the answer 18,790 or 00019 or 00018 or 18800 please due today please give brainiest.
Answers
Answer:
The answer is 19,000
Step-by-step explanation:
18,792 you round to the thousand which is 8 and the number after is 7 which is above 5 so the 8 turns into a 9
Answer:
19000
Step-by-step explanation:
18,792
Rounding to the nearest thousand
The 8 is in the thousands place
We look at the number in the hundreds place, 7
It is 5 or higher so we will round the 8 up to 9 and everything else to the right will become zeros
18,792 becomes 19000
There are 36 children and 6 adults at the preschool. To keep the same child-to-adult ratio, how many adults are needed for 108 children?
Answers
Answer:
18 adults
Step-by-step explanation:
Children for every adult is,
→ 36/6
→ 6 children
Now adults for 108 children are,
→ 108/6
→ 18 adults
Hence, we need 18 adults.
Which statement best defines a circle?
ОА.
the set of all points in a plane that are the same distance from a given point called the center
OB.
the set of all points that are the same distance from a given point called the center
OC. points in a plane that surround a given point called the center
OD the set of all points in a plane that are the same distance from each other surrounding a given point called the center
Answers
9514 1404 393
Answer:
А. the set of all points in a plane that are the same distance from a given point called the centerStep-by-step explanation:
A circle is a plane figure, so the descriptor "in a plane" is part of the definition. The notion of "surrounding" is not defined, so does not specify any particular relationship.
The appropriate definition is ..
the set of all points in a plane that are the same distance from a given point called the center
Write the recursive definition for the geometric sequence. Then write the exponential equation using regression
-
128,32,8,2
Answers
The geometric sequence 128,32,8,2 has a common ratio
The recursive definition of the geometric sequence is \(a_n = 4a_{n-1}\) where a1 = 128
How to determine the recursive definition?The geometric sequence is given as:
128,32,8,2
Start by calculating the common ratio (r)
\(r = \frac{a_{n}}{a_{n-1}}\)
Substitute 2 for n
\(r = \frac{a_2}{a_1}\)
Substitute known values
\(r = \frac{128}{32}\)
Evaluate the quotient
\(r = 4\)
Substitute 4 for r in \(r = \frac{a_{n}}{a_{n-1}}\)
\(4 = \frac{a_{n}}{a_{n-1}}\)
Cross multiply
\(a_n = 4a_{n-1}\)
Hence, the recursive definition of the geometric sequence is \(a_n = 4a_{n-1}\) where a1 = 128
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What is the answer....................................................
Answers
Answer:A school bus provides a safe way of transportation for your child. Learn resources to talk to your child about school bus and bus stop safety.
Step-by-step explanation:
each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
Answers
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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What is the total surface area
Answers
Answer:
Step-by-step explanation:
2. The Youngs decided to book the room at the price that Mrs. Young was given, $1879, because it included breakfast for both of them for the entire stay. The travel agent could not match that price. At the end of the trip, Mr. Young received a bill showing a pre-tax amount of $1879. The tax is 8.5%. When the Youngs went to check out, they told the front desk that the refrigerator in the room had not worked during the majority of their time there. The hotel decided to give them a 5% discount off the pre-tax amount. Mr. Young says the new total will be $1944.77. He shows Mrs. Young how he found the new total.
Since we have to add 8.5% tax and subtract 5% for the discount, this means we will add 3.5% in the end.
8.5 − 5 = 3.5
Therefore, we just need to multiply the cost of the room by 3.5% and add this number to the cost of the room to determine what we owe.
3.5% x 1879= 0.035 x 1879= 65.765, which rounds to $65.77.
Add $65.77 to the total $1879 to get $1944.77.
Explain why Mr. Young’s calculations are incorrect. What is the correct total? Show your work. Round your answers to the nearest cent.
Answers
Answer:
yes
Step-by-step explanation:
Find the tangent of the smaller acute angle in a right triangle with side lengths 5, 12, and 13.
Write your answer as a fraction.
The tangent of the smaller acute angle is ____?_______
Answers
The tangent of the smaller acute angle in a right triangle is tanФ = 0.42.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, A right triangle with side lengths 5, 12, and 13.
tanФ = 5/12.
tanФ = 0.42.
Ф = tan⁻¹(0.42).
Ф = 22.8°.
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The six trigonometric functions are not invertible. What has to be done to make them invertible?
Answers
Step 1
The six trigonometric functions are;
\(Sine,\text{ cosine, tangent, cotangent, secant, cosecant.}\)In general, a function is invertible only if each input has a unique output. That is, each output is paired with exactly one input. That way, when the mapping is reversed, it will still be a function!
Step 2
These trigonometric functions are not invertible. To make them invertible we must restrict their domains to form a new function in which there is at most one x-value for each y-value
Answer; To make them invertible we must restrict their domains to form a new function in which there is at most one x-value for each y-value
There are 130 people in a sport centre. 76 people use the gym. 60 people use the swimming pool. 32 people use the track. 23 people use the gym and the pool. 8 people use the pool and the track. 20 people use the gym and the track. 6 people use all three facilities. A person is selected at random. What is the probability that this person uses at least 2 facilities?
Answers
Answer:
64
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
(-1/2)•(-1/2)•(-1/2)
Answers
Answer:
\(-\frac{1}{8\\}\)
Step-by-step explanation:
Break the equation into 2 pieces:
(-1/2)•(-1/2) = 1/4
1/4 • (-1/2) = -1/8
Answer:
-0.125
Step-by-step explanation: