Answer (let x be the number):
5x - 40 = x + 8
I hope this helps!
The number in the equation 5n - 40 + 8 = n is 8.
What is a numerical expression ?A numerical expression is formed by numbers and their operation.A numerical expression can also be constructed from given statements.
We can also construct numerical expression form real life scenarios.
According to to the question statement 40 subtracted from five times a number is 8 more than the number and we have to form an numerical expression.
Let the number be 'n'.
∴ 5n - 40 + 8 = n
5n - n = 40 - 8.
4n = 32.
n = 32/4.
n = 8.
learn more about numerical expression here :
https://brainly.com/question/14642484
#SPJ2
Divisor = 5
Dividend = 3075
Quotient =
According to the given statement if Divisor = 5, Dividend = 3075 then The quotient is 615.
What is division?Division is an arithmetic operation that is the inverse of multiplication. It is used to determine how many times one number, called the divisor, is contained within another number, called the dividend. The result of the division is called the quotient.The three most widely discussed are the Commutative, Associative, and Distributive Laws.
The quotient is 615.
You can find this by dividing the dividend (3075) by the divisor (5) using long division or by using the formula: Quotient = Dividend / Divisor
In this case, 3075 / 5 = 615
To learn more about Division, Visit
brainly.com/question/25289437
#SPJ1
9. Find BD if AABC~AXYZ
A
BD and
and
B
12
A
D
C X
YW
are medians.
We have found that: AB = (BD/2) * (XZ/AY) and we can solve for BD:
BD = 2 * AB * AY / XZ
What is triangle?
A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.
Since BD is a median of triangle ABC, it divides side AC into two equal parts. Let's label the midpoint of AC as M. Similarly, YW is a median of triangle XYZ and it divides side XZ into two equal parts, with the midpoint labeled as N.
Since AABC~AXYZ, we know that the corresponding sides are proportional. Thus,
AB/AX = AC/AY = BC/BZ
Since AB = BC (given that B is a vertex of both triangles), we have:
AB/AX = AC/AY
We can rewrite this equation as:
AB/AC = AX/AY ----(1)
Since BD is a median of triangle ABC, we have:
BD = 1/2 AC ----(2)
Similarly, since YW is a median of triangle XYZ, we have:
YW = 1/2 XZ ----(3)
From equation (1), we have:
AB/AC = AX/AY
Multiplying both sides by AC, we get:
AB = AX * (AC/AY)
Now, using equation (2), we can substitute AC/2 for BD:
AB = AX * BD/AY
Finally, using equation (3), we can substitute XZ/2 for YW:
AB = (BD/2) * (XZ/AY)
Therefore, we have found that:
AB = (BD/2) * (XZ/AY)
Hence, we can solve for BD:
BD = 2 * AB * AY / XZ
Note that we need to know the actual values of AB, AY, and XZ to find BD.
To learn more about triangle from the given link:
https://brainly.com/question/2773823
#SPJ1
Question 1-6
Given parallelogram ABCD, which of the following statements about its angles must be correct?
O It has two pairs of complementary angles.
O It has two pairs of supplementary angles.
O
All of its angles are acute.
O The sum of the measures of its angles is 180°.
Answer:
the sum of the measures of it's angles is 180
How many terms are in the expression? 9a + 6b + 3c + 1 A) 1 B) 2 C) 3 D) 4
Answer:
D.) there is 9a and 6b ,3c and 1 thats four different terms
Step-by-step explanation:
Have a nice day! :D
(Please someone help me!) (NO links!)
Please hurry! I need to get this done fast!
Answer:
B1: 3
B2: 3
B3: 6
B4: +5
B5: +5
B6: 11
Which unit could be used to measure the capacity of a kitchen pot? O a) kilograms b) quarts c) pounds
Answer:
a
Step-by-step explanation:
pounds because all will measure with it only even shop keepers........................................
A student currently has $250 dollars in a savings account. He plans to save $35 per week until he has a total of $460 in his savings account. Which equation can be used to determine x, the total number of weeks it will take him to reach his goal?A student currently has $250 dollars in a savings account. He plans to save $35 per week until he has a total of $460 in his savings account. Which equation can be used to determine x, the total number of weeks it will take him to reach his goal?
Answer:
460=35x+250
Step-by-step explanation:
He starts off with 250, adding 35 each week, which is constant, represented by x
Answer:
460 = 250 + 35x
Step-by-step explanation:
First, let's review some given knowledge. We know how much money he currently has, $250, and how much he plans to save per week, $35. We can represent this as a linear function in the form y = mx + b. The rate of change, aka the slope, is represented by m and the initial amount, aka the y-intercept, is b.
So what do m and b equal? We already have that knowledge! Because b represents the starting amount, we need to find the starting value of the savings account. That amount is $250, and so b = 250.
As for m, that, once more, is the rate of change. Here, that's how much money is added to the savings account in a frame of time. In this case, y represents how much money is in the savings account and x is how many weeks the student has been saving money for. In other words, the amount of money in the savings account is dependent on how many weeks the student has been saving money for.
This is for two reasons: first, in a linear equation of the form y = mx + b, x is the independent variable and y is the dependent variable. The function represents the change in x; this is why y could also be written as f(x),"the function of x" — y is a function of x. Second, it's very rare to find a situation where time is the dependent variable; you can go forward in time, but you (presumably!) can't go backward, unless you happen to have a DeLorean or a TARDIS.
Why is this important? Slope is rise over run; this could also be described as the change in y over the change in x, or \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\). Here, the slope is the change in the amount of money in the savings account over the number of weeks the student has been saving money. That's also the rate of change.
So, how much money is the student saving per week? The problem tells us that amount: he's saving $35 per week.
Now that we have our values, we can write our function. It is y = 35x + 250, where y is the amount of money in the savings account, x is the number of weeks the student has been saving money, 35 is the amount of money saved per week, and 250 is the starting amount of money in the account.
Next, we need to solve for a specific value of x. Here, y is given to us; it's 460, because the student wants to have $460 in his savings account. By substituting 460 for y, we turn our function into an equation. Then, we can solve for x, the number of weeks the student needs to reach his goal of having $460 in his savings account when he started with $250 and is saving $35 per week.
This, once again, makes our function, y = 35x + 250, into 460 = 35x + 250. Now, if we wanted to, we could solve for x by reversing the operations done. If this were a function, it would mean we were finding the inverse. But since this is an equation, we'd just be solving for x, the number of weeks the student will save money for until he reaches his goal.
Phew! This is a long explanation, I know. But my goal here is to help you understand the concept so you don't need to ask questions like this in the future. Hopefully, this answer helps you to reach that level.
It's about 9:00 AM where I am as I finish writing my answer, so good morning and have an awesome day! Keep learning, keep growing, and never stop going! You've got this!
A group of men and women are asked if they prefer summer or winter. The resulting two-way frequency table is shown below. Use the data in the table to find each probability. a. P(woman) b. P(woman or summer) c. P(woman and summer) d. P(woman | summer)
women: summer 85 Winter 32
Men: summer 70 winter 51
The probability of women will be 0.49.
How to calculate the probability?Based on the information given, the probability women will be:
Number of women = 85 + 32 = 117
Number of men = 70 + 51 = 121
Total = 117 + 121 = 238
The probability of women will be:
= 117/238
= 0.49
The probability of women or summer will be:
= 0.49 × 155/238
= 0.32.
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
I need to write an equivalent expression that is a product for:
[32]x^{2} + 48x
Step-by-step explanation:
The equivalent expression in the form of a product is:
(8x) * (4x + 6)
Please help me?!!!!!!
Answer:
Bargain Busters shop sells the cheapest soup
Step-by-step explanation:
Bargain Busters sell 4 cans of soup for £3.76
Bargain Busters sell 1 cans of soup for
3.76÷4
=0.94
cost cutters sell 3 cans of soup for £2.85
cost cutters sell 1 cans of soup for 2.85÷3
=0.95
so
Bargain Busters<cost cutters
0.94<0.95
therefore
Bargain Busters shop sells the cheapest soup
What the degree of 8ax^4
The degree of the expression \(8ax^4\) is 4.
The degree of a monomial expression is defined as the highest exponent of the variable in that expression.
In this case, we have the expression \(8ax^4\), where x is the variable and its highest exponent is 4.
The coefficient 8a is just a constant multiple and does not affect the degree of the expression.
Therefore, the degree of the expression 8\(ax^4\) is 4. It is important to understand the concept of degree, as it helps us to classify polynomial expressions and determine their behavior.
Furthermore, by knowing the degree of an expression, we can also determine the number of possible roots or solutions of that expression.
for such more question on monomial expression
https://brainly.com/question/28924388
#SPJ11
Question
"What is the degree of the expression 8ax^4?"
A new pair of shoes costs $59.50. If you clean your room each week, your parents will give you $3.50 (each week). How many weeks will it take for you to save enough money to buy the shoes?
I need this answer fast please!
Answer:
Mekrkrkjr
Step-by-step explanation:
Clkddkrk
Answer:i need new pairs of shoes!!
Step-by-step explanation:
Z wants to buy five shirts worth 34 dollars each and three baseball caps worth 31
dollars. The shirts are on sale with a 10% discount. The baseball caps are half off. What is
the total price that Z needs to pay?
Answer:
$199.50
Step-by-step explanation:
10% discount of $34 = 10/100*34 = $3.40
so, a single shirt costs $34-$3.40 = $30.60
half off = 50% discount of $31 = 50/100*31 = $15.50
so, a single cap costs $31-$15.50 = $15.50
so, 5 shirts and 3 caps cost now
5*$30.60 + 3*$15.50 = $153 + $46.50 = $199.50
but careful - can this be a trick question ?
the phrasing of the problem description can also suggest that the discounts are only listed to confuse us and are already included in the mentioned prices ("worth" $34 - what does that mean ? because including the discounts they are currently "worth" their prices).
then it would just plainly be
5*$34 + 3*$31 = $170 + $93 = $263
The Language Arts department conducts a study to see if the number of books a student reads per month affects the score on the SAT Verbal Test. Here is the data that the Language Arts department collected for 8 students. Create the scatter plot for this data set. What is the equation of the line of best fit?
A scatter plot visually represents the relationship between two variables. It shows a positive correlation between the number of books read per month and SAT Verbal Test scores, with the equation y = 6.4828x + 520.6962.
A scatter plot is a graphical representation of a set of data that allows the observer to observe the relationship between two variables. It is used to graphically display how one variable is affected by the other. It is a chart of data points plotted on a two-dimensional graph with one variable represented on the X-axis and the other variable on the Y-axis.
Scatter Plot of the Data: From the data provided by the Language Arts department, we can create the scatter plot as shown below:
Equation of the line of best fit: The line of best fit is a straight line that is used to model the relationship between the two variables. It is determined by minimizing the sum of the squares of the differences between the observed values and the predicted values.
From the scatter plot, we can see that there is a positive correlation between the number of books read per month and the score on the SAT Verbal Test. This suggests that the more books a student reads per month, the higher their score on the SAT Verbal Test.
The equation of the line of best fit for the given data set is y = 6.4828x + 520.6962. Here, y represents the score on the SAT Verbal Test and x represents the number of books read per month.
To find the equation of the line of best fit, we can use a regression analysis tool such as Excel. The regression analysis will give us the values of the slope and intercept of the line of best fit, which we can use to write the equation of the line.
For more questions on a scatter plot
https://brainly.com/question/30756481
#SPJ8
a farmer has two types of milk, one that is 28% butterfat and another that is 16% butterfat. how many gallons of each should be combined to create a 60-gallon mixture that is 22.5% butterfat?
30 gallons of 28% butterfat and 30 gallons of 16% butterfat should be combined to create a 60-gallon mixture that is 22 % butterfat.
Let x gallon of 28% butterfat mixed with the y gallon of 16% butterfat to obtain 60 gallons of 22.5% butterfat,
⇒ x + y = 60 ⇒ x = 60 - y ----(1),
Quantity of butterfat in x gallon + quantity of butterfat in y gallon = total quantity of butterfat,
⇒ 28% of x + 16% of y = 22% of 60
⇒ 0.28x + 0.16y = 0.22 × 60
⇒ 0.28x + 0.16y = 13.2
⇒ 28x + 16y = 1320
⇒ 14x + 8y = 660
From equation (1),
14(60-y) + 8y = 660
840 - 14y + 8y = 660
6y = 180
y = 30
Again from equation (1),
x = 60 - y
= 60 - 30
= 30
Hence, 30 gallons of 28% butterfat and 30 gallons of 16% butterfat are combined to create a 60-gallon mixture that is 22%
To learn more about percentages;
https://brainly.com/question/28773949
#SPJ1
Solve this:
A woman was 39years old when she gave birth to a pair of twins.12 years ago,she was twice as old as the sum of the ages of the twins put together.Find their present ages.
Answer:
woman =39years
twins 0year each since 12 years ago they were not yet born
what is a pythagorean triple ?
Answer:A "Pythagorean Triple" is a set of positive integers, a, b and c that fits the rule: a2 + b2 = c2. Example: The smallest Pythagorean Triple is 3, 4 and 5
Step-by-step explanation:
Select the correct answer. Which equation matches the function shown in the graph? A trigonometric function starts from the origin and passes through the points (pi, 1), (3 pi, minus 1) and intercepts the x-axis at 2 pi and 4 pi units.
The equation matches the function provided in the graph is: y = sin(x + π/2)
What is the sine function?The sine function is defined as the function which is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a] where a is the amplitude of the function.
We are told that a graph of a trigonometric function is given:
We know that:
y = sinx has a sinusoidal graph
Based on the graph, we can apply a transformation to get the required function.
Applying transformation:
x → x + π/2
The sine function will shift left side by π/2 unit
The equation of the function becomes:
y = sin(x + π/2)
The equation of the function shown in the graph is y = sin(x + π/2)
Thus, the equation matches the function provided in the graph is y = sin(x + π/2)
Read more about the sine function at: brainly.com/question/14397255
#SPJ1
a cup holds d ml of tea. a student drinks on fifth of the tea. how much tea is left
The amount of tea that is left after the student has drank is; ⁴/₅d mL
How to solve fraction word problems?In word problems on fractions, what we do is that we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers.
For example;
4/7 of a number is 84. Find the number.
Since 4/7 of a number = 84
The, the Number = 84 × 7/4
Number = 147
Now, in this question, we are given;
Quantity of tea in cup = d ml
Amount of tea a student takes out to drink = ¹/₅ of the quantity in the cup.
Thus;
Amount of tea left = d - ¹/₅d
Amount of tea left = ⁴/₅d
Read more about fraction word problems at; https://brainly.com/question/24132459
#SPJ1
I need a lil help, I am some how stuck here in math.
a. The value of c in the probability mass function when x is a discrete random variable is 0.15
b. The value of P(x > 3) is 0.25
c. The value of P(3 ≤ x ≤ 5) is 0.15
d. the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.
What is probability mass function?In probability mass function, sum of the probabilities for all possible values of x must be equal to 1
Thus,
0.2 + 2c + 0.2 + c + 0.1 = 1
Solve for c
c = 0.15
Hence, the probability mass function for x can be rewritten as;
x: 0 1 2 4 10
p(x): 0.2 0.3 0.2 0.15 0.1
To find P(x > 3), add the probabilities for all values of x that are greater than 3. The values greater than 3 are 4 and 10
sum of their probabilities
P(x > 3) = P(x = 4) + P(x = 10)
= 0.15 + 0.1
= 0.25
To find P(3 ≤ x ≤ 5),sum the probabilities for all values of x between 3 and 5, inclusive:
P(3 ≤ x ≤ 5) = P(x = 4)
= 0.15
To find P(x < 6 | x ≥ 1), use the formula for conditional probability:
P(x < 6 | x ≥ 1) = P(x < 6 and x ≥ 1) / P(x ≥ 1)
To find the numerator, we sum the probabilities for all values of x between 1 and 5, inclusive
P(x < 6 and x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4)
= 0.3
To find the denominator, we sum the probabilities for all values of x greater than or equal to 1:
P(x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4) + P(x = 10)
= 0.85
Therefore, we have
P(x < 6 | x ≥ 1) = (0.3 / 0.85) ≈ 0.353
Thus, the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.
Learn more on probability mass function on https://brainly.com/question/33256547
#SPJ1
solve for the value of y
Answer:
2y+1+5y-3=180
Step-by-step explanation:
7y-2=180
7y=180+2
7y=182
y=182/7
y= 26
Answer:
y = 26
Step-by-step explanation:
2y + 1 + 5y - 3 = 180
combine like terms
7y - 2 = 180
+2 +2
7y = 182
divide by 7
y = 26
Hope I helped! Plz mark as brainliest! Have a nice day/night!!! :D
-Lil G
It takes a man 20 minutes longer to travel from his home to his place of business if he drives at a rate of 30 mph than if he drives at a rate of 40 mph. How many miles is his home from his place of business?
20 minutes = 1/3 hours
let the distance be S
recall that time taken = distance/velocity
so, the time taken when travelling at 30 mph is S/30
and the time taken when travelling at 40 mph is S/40
therefore
S/30 - S/40 = 1/3
multiply through by 120
4S - 3S = 40
S = 40
distance = 40 miles
selecting a classroom number at random then surveying all the students in that room - asking your 20 closest friends - choosing every 5th person on a list - separating all students by grade level, and selecting 10 students from each grade - number every name on a list and use a random number generator to select the first 50 numbers sampling method a) stratified. b) simple random. c) cluster. d) convenience. e) systematic.
A) Stratified. The method of selecting a classroom number at random and then surveying all the students in that room is an example of stratified sampling.
In stratified sampling, the population is divided into smaller subgroups, or strata, based on a certain characteristic (such as grade level), and a sample is selected from each stratum. They call the subgroups strata and give information in the form of divisions for a better understanding of a topic or a piece of information.
After dividing the main matter the subtopics are also sampled randomly in order to acquire the right solution for the survey. this method is one of the better methods to be done in order to get better results on a topic.
To know more about surveying
brainly.com/question/17373064
#SPJ4
Use the graph to solve the equation.
f(x) = 0
The solutions are x =
Answer: ok so: the graph of a function intersects the x-axis will be the roots of f(x) = 0. Because the coordinates of the point where it intersects the xaxis will be (x, 0). y will be 0. What you need to do is add 0 wherever x is for eample: when multiplying 3 and 0 you get 0 then subtract 2 and y would equal negative 2. I hope this helps you
Step-by-step explanation:
From the graph, the x values are -1 and 3, as the line cuts the x-axis at that coordinates: (-1,0), (3,0)
La
Cu
You can afford monthly deposits of $250 into an account that pays 4.8% compounded
monthly. How long will it be until you have $11,900 to buy a boat?
Att
Answer:
Step-by-step explanation:
The formula you need for this is
\(A(t)=P(1+\frac{r}{n})^{nt\) where
A(t) is the amount after a certain number of years has gone by,
P is the initial deposit,
r is the interest rate in decimal form,
n is the number of compoundings done per year, and
t is the amount of time in years.
For us,
A(t) = 11900
P is 250
r is .048
n is 12 (there are 12 months in a year)
t is our unknown. Filling in:
\(11900=250(1+\frac{.048}{12})^{(12)(t)\) which simplifies a bit to
\(11900=250(1_.004)^{(12t)\) . Now we'll divide both sides by 250:
\(47.6=(1.004)^{12t\) and then take the natural log of both sides to bring that t down out front:
\(ln(47.6)=ln(1.004)^{12t\) and then
ln(47.6) = 12t ln(1.004). Now divide both sides by ln(1.004) to isolate the 12t:
967.6383216 = 12t and divide both sides by `12 to get
t = 80.6 months which is 6.7 years
Ten members of Balin’s soccer team ran warm ups for practice. Each member ran the same distance. Their combined distance was StartFraction 5 Over 6 EndFraction of a mile. To find the distance that each member ran, Balin wrote the expression below.
StartFraction 5 Over 6 EndFraction divided by 10
Which expression is equivalent to Balin’s expression?
The expression that is equivalent to Balin's expression is 5/6 x 1/10.
What is the equivalent expression?Division is the mathematical operation that is used to determine the quotient of a number.
In order to determine the distance ran by each member, divide the total distance ran by the total number of people.
5/6 ÷ 10
5/6 x 1/10
To learn more about division, please check: https://brainly.com/question/13281206
#SPJ1
The expression is equivalent to Balin’s expression is StartFraction 5 Over 6 EndFraction divided by 10
Division of fractionCombined distance = 5/6 mileNumber of Balin’s soccer team = 10Distance each member ran = Combined distance ÷ Number of Balin’s soccer team
= 5/6 ÷ 10
= 5/6 × 1/10
= 5/60
= 1/12 mile
Learn more about fraction:
https://brainly.com/question/1622425
#SPJ1
A park planner is designing a dog park
Answer:
Un planificador de parques está diseñando un parque para perros
Debby is working on her typing.
• At first, Debby typed at a rate of 80 words per minute
After she took a typing class, she could type 300 more words per hour than she could before the typing class.
How many words per minute could Debby type after taking the typing class?
85
130
220
e
300
Answer:
300/60=5 more words per minute
80+5 = 85 words per minute
or
80 x 60 = 4800 + 300 = 5100
5100 / 60 = 85 words per minute
Hope this helps
Step-by-step explanation:
Which of the following equations does NOT have a soulution of x=o.5 ? 10x – 5 = -2x + 1
-2x + 6 = -6x + 8
-5x + 10 = x + 7
3x + 3 = -2x + 13
If Jacob had $0 before babysitting, then earned $8, then spent $10, how much is in his
bank account now?
-2 dollars
O 2 dollars
0 -18 dollars
18 dollars
-2 dollars
0 + 8 = 8
8 - 10 = -2