Answer:
-7/12
Step-by-step explanation:
An equation can be made out of this problem.
Sum means adding, so in this problem, you are adding 7 to the product of x and 12.
Product means multiplying, so you are multiplying x by twelve to get 12x.
Since you are adding all of this to 7, you get the equation 7 + 12x = 0.
Now, you just need to solve for x by subtracting the 7 over, giving you 12x = -7.
Now, to isolate x, divide both sides by 12. The twelves on the left cancel each other out, leaving you with -7/12.
When 238 is divided by the natural number n, the quotient is 3 more than n, and there is no remainder. What is n?
Answer:
n = 14
Step-by-step explanation:
Write the equation in algebraic (numbers and symbols) form
[tex]\frac{238}{n}[/tex] = n + 3 Rearrange the equation
[tex]n\frac{238}{n}[/tex] = n(n + 3) Multiply both sides by 'n'
238 = n(n + 3) On the left, multiplying and dividing by 'n' cancels out
238 = n² + 3n Distributed right side
0 = n² + 3n - 238 Rearranged to standard form for quadratic equations
Remember standard form for quadratic equations is: ax² + bx + c = 0
State the variables a, b and c:
a = 1; b = 3; c = -238
When a quadratic equation is in standard form, you can use the quadratic formula to solve for 'n'. (Usually, you see the variable 'x', but the quadratic formula can solve for 'n' as if it is 'x', as long as it's in standard form.)
[tex]n = \frac{-b±\sqrt{b^{2}-4ac}}{2a}[/tex] (ignore the Â, it's a formatting error)
[tex]n = \frac{-(3)±\sqrt{(3)^{2}-4(1)(-238)}}{2(1)}[/tex] Substitute the values for 'a', 'b' and 'c' from the equation
[tex]n = \frac{-3±\sqrt{9-(-952)}}{2}[/tex] In the root, two negatives make a positive
[tex]n = \frac{-3±\sqrt{9+952}}{2}[/tex] Add inside the root
[tex]n = \frac{-3±\sqrt{961}}{2}[/tex] Find the square root of 961
[tex]n = \frac{-3±{31}{2}[/tex] Split the equation at the ±
Split for adding:
[tex]n = \frac{-3+31}{2}[/tex] Simplify
n = 14
Split for subtracting:
[tex]n = \frac{-3-31}{2}[/tex] Simplify
n = -17
You get the answers 14 and -17 for 'n'. Decide which one is 'inadmissible', meaning it can't be right even if it solves the equation.
The problem says 'n' is a natural number. Natural numbers are all non-partial numbers count up from 1. (Non-partial means as a fraction, they are reduced to a number over 1). Since -17 is less than 1, it is inadmissible because it is not a natural number.
Therefore, 'n' is 14.
The left and right page numbers on an
open book add to 333. What are the
page numbers?
and
The student's question is a math problem involving consecutive numbers and a basic linear equation. The page numbers of an open book are consecutive, implying the left page is x and the right is x+1. Solving the equation x+(x+1)=333 results in the left page being 166 and the right page 167.
Explanation:The problem can be approached using the basic concept of consecutive integers in Mathematics. If the total sum of the two page numbers is 333, this means we are dealing with two consecutive numbers (since the left and right page numbers of an open book are always consecutive). Let's represent the left page number as x (unknown at this point). So, the right page number would be x+1 setting up our equation as x+(x+1)=333. Solving this equation will help us find the actual page numbers.
First combine like terms in your equation: 2x+1=333. Subtract 1 from both sides to isolate the term with x: 2x = 332 Divide both sides by 2 to solve for x: x = 166. This is our left page number. Substitute x in to x+1 to find the right page number: x+1 = 167. This is our right page number.
So, the left and right page numbers are 166 and 167 respectively.
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The width of a photograph is 4 centimeters more than three tenths of the length. If the width is 13 centimeters, what’s the length?
Answer:
30 centimeters
Step-by-step explanation:
since the width is 4 centimeters more than 3/10 of the length, then 13 is 4 centimeters more than 3/10 of the length. 4 less than 13 is 9, so nine is 3/10 of the length. if 9 is 3/10, then 3 is 1/10 because 3/10 is three times 1/10. If 3 is 1/10, that means that 30 is the length because 1/10 multiplied by 10 is 10 tenths, or 1.
4/5 is greater than less then or equal to 1/2
Greater Than!
First make the denominator (the bottom number) the same for both fractions. So you can multiply the 1/2 by 5 and the 4/5 by 2.
This will make them 5/10 and 8/10.
Then, you see that 8/10 (4/5) is greater than 5/10 (1/2)
Hope that’s makes sense! :)
The fraction 4/5 is greater than 1/2. This conclusion can be reached by converting the fractions to decimal form, where 4/5 becomes 0.8 and 1/2 becomes 0.5, highlighting that 0.8 is indeed greater than 0.5.
Explanation:The question is whether the fractional value of 4/5 is greater than, less than, or equal to 1/2. To compare these fractions, it may be helpful to first convert them to decimal form, as this is often easier to understand than comparing fractions directly. 4/5 as a decimal is 0.8 and 1/2 as a decimal is 0.5. Hence, 0.8 is greater than 0.5. Therefore, 4/5 is greater than 1/2.
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Simplify: 18³×18²×18³
Answer:
18 to the 8th power
Step-by-step explanation:
18 + 2 + 3 + 3What is 321 in standard and expanded form
Answer:
321 300 20 1
Step-by-step explanation:
In written for: Three hundred twenty-one
Expanded form: 300 + 20 + 1
Standard form: 321
Fraction form: 321/1
Decimal form: 321.00
What is are if a rectangle of length of 5 and width of 3x-5y+6What is the area of a rectangle with a length of 5 and a width of 3x-5y+6
The area of rectangle is 15x - 25y + 30 sqaure units
Solution:
Given that, a rectangle with a length of 5 and a width of 3x - 5y + 6
To find: Area of rectangle
The area of rectangle is given by formula:
[tex]Area = length \times width[/tex]
From given,
Length = 5
Width = 3x - 5y + 6
Substituting the values in formula, we get,
[tex]Area = 5 \times (3x - 5y + 6)\\\\\text{Multiply 5 with each term inside the bracket }\\\\Area = 5(3x) -(5)(5y) +5(6)\\\\\text{Simplify the above expression }\\\\Area = 15x -25y + 30[/tex]
Thus area of rectangle is 15x - 25y + 30 sqaure units
what fractions are less than and greater than 1/2
Answer:
Less than: 1/4, 1/8, 1/16,...
Greater than: 5/8, 3/4, 1,...
Hope this helps :)
Write the equation of a line that contains (2,-4) and that is perpendicular to y=2/3x+2
Answer:
y = - [tex]\frac{3}{2}[/tex] x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{2}{3}[/tex] x + 2 ← is in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{3} }[/tex] = - [tex]\frac{3}{2}[/tex], thus
y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (2, - 4) into the partial equation
- 4 = - 3 + c ⇒ c = - 4 + 3 = - 1
y = - [tex]\frac{3}{2}[/tex] x - 1 ← equation of perpendicular line
If Damian is able to read 80 pages in 2 hours how long does it take for him to reach each page
Answer:
Step-by-step explanation:
If he reads 80 pages in 2 hours, that means he reads 80 pages in 120 minutes. 80 pages/120 minutes simplifies to 2 pages/3 minutes. It also means it takes him 1 and a half minutes to read each page.
Stefan sells Jin a bicycle for $140 and a helmet for $16. The total cost for Jin is 130% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Final answer:
Stefan spent $120 originally to buy the bike and helmet and made $36 by selling them to Jin.
Explanation:
To find out how much Stefan spent originally, we need to divide the total cost for Jin by 130%.
Let's call the original amount x.
Jin's total cost is 130% of x, which can be expressed as 1.3x.
We know that the total cost for Jin is $140 for the bike + $16 for the helmet = $156.
So we have the equation 1.3x = $156. To solve for x, divide both sides of the equation by 1.3. x = $156 / 1.3 = $120.
Therefore, Stefan spent $120 originally to buy the bike and helmet.
To find out how much money Stefan made by selling the bike and helmet, we subtract the original amount spent from the total cost for Jin.
Money made = $156 - $120 = $36.
round 7,834 to the nearest hundred
Answer:
7,800
Step-by-step explanation:
Because the 3 goes down.
how do you convert decimals into fractions?
Brian borrowed a 20 foot extension ladder to use when he paints hes house. If he sets the base of the ladder 6 feet from the house, as shown below, how far up will the top of the ladder reach?round to one decimal place.
Answer:
It is 20.9feet
Step-by-step explanation:
Answer:19.1
Step-by-step explanation:
Mary just got a new job at Justice. She makes $10 an hour plus 4% commission on her sales. If she worked 6 hours
on Saturday and did $350 in sales how much did she make for the day?
Answer: $74
Step-by-step explanation:
cost for an hour = $10
since she worked for 6 hours , this means that she made $(6x10) = $60
Also , she made 4% commission on her sale and she sold $350 , this means that she made 4% of 350 =$14
Therefore: she made $ 60 + $14 for the day. Thai is , she made $74 for the day
Hey yall It's been a while Wassup but da question is : What term best describes 3x+5 . If u dont know da answer dont waste my time typin junk dat dont make sense
Please help! Also, show work, please!
if each person had to run 1/25 of a mile then you would need to have 5 people per team. it takes 5/25 to equal 1/5. So your answer is 5!!
Hope this helps! :)
A total of $30,000 is invested in two corporate bonds that pay 5.5% and 6.25% simple interest. the investor wants an annual interest income of %1800 from the investments. what is the most that can be invested in the 5,5% bond?
Answer:
$10,000
Step-by-step explanation:
Let x represent the amount invested in the 5.5% bond.
For an annual income of $1800, we want ...
(5.5%)x + (6.25%)(30,000-x) = 1800
(-0.75%)x + 1875 = 1800
-0.0075x = -75 . . . . . . . . . subtract 1875
x = 10,000 . . . . . . . . . . . . . divide by -0.0075
At most $10,000 should be invested at 5.5% to obtain at least $1800 in interest.
A saleswoman earns 20% commission on all the merchandise that she sells . Last month she sold $800 worth of merchandise . How much commission (in dollars) did she earn last month ?
Answer:
160
Step-by-step explanation:
20 percent of 800 is 160
The saleswoman earned a commission of $160 last month from selling $800 worth of merchandise, given that her commission rate was 20%.
Explanation:The subject of your question lies in the domain of Mathematics, specifically, a concept taught in Middle School known as percentages. In this case, we're tasked with finding out how much commission a saleswoman earned by selling $800 worth of merchandise, given that she earns a 20% commission on all items sold.
The process for calculating this is straightforward. You multiply the total amount of the sold merchandise by the percentage commission to find out the amount earned. In mathematical form:
Total commission earned = Total amount of items sold * Commission Rate
Substitute the given values into this equation:
Total commission earned = $800 * 20%
To convert the percentage to a decimal, you divide by 100, thus, 20% = 20/100 = 0.2
Hence, Total commission earned = $800 * 0.2 = $160
Therefore, the saleswoman earned a commission of $160 last month from selling the merchandise.
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sharon rives 30 mi at 60 mi/h and 60 mi at 30 m/h. what is sharons average speed, in miles per hour, for the whole trip ?
Answer: 45mph
Step-by-step explanation: to solve this, all you have to do is add all of your data, and divide it by the number amount of data you have
Answer:
36 miles per hour
90miles/2.5hr = 36
A submarine hovers at 66 and two-thirds yards below sea level. If it ascends 24 and StartFraction 1 over 8 EndFraction yards and then descends 78 and three-fourths yards, what is the submarine’s new position, in yards, with respect to sea level? Negative 169 and StartFraction 13 over 24 EndFraction Negative 121 and StartFraction 7 over 24 EndFraction Negative 12 and StartFraction 1 over 24 EndFraction 12 and StartFraction 1 over 24 EndFraction
A submarine hovers at 66 and 2/3 yards below sea level. If it ascends 24 and 1/8 yards and then descends again 78 and 3/4 yards, what is the submarine’s new position, in yards, below sea level?
Answer:
The submarine's new position is [tex]-121\frac{7}{24}\text{ yards}[/tex] below sea level.
Solution:
Given that a submarine hovers at [tex]66\frac{2}{3}[/tex] yards below sea level. This means that the position of submarine is negative
Therefore, we get [tex]-66\frac{2}{3}[/tex]
Also given that it ascend [tex]24\frac{1}{8}[/tex] yards
So we have to add [tex]-66\frac{2}{3}[/tex] and [tex]24\frac{1}{8}[/tex]
[tex]\rightarrow -66\frac{2}{3} + 24\frac{1}{8}\\\\\text{Convert mixed fractions to improper fractions }\\\\\rightarrow -\frac{66 \times 3+2}{3} + \frac{24 \times 8+1}{8} = \frac{-200}{3} + \frac{193}{8}\\\\\rightarrow \frac{-200 \times 8}{3 \times 8} + \frac{193 \times 3}{8 \times 3}\\\\\text{Simplify the above expression }\\\\\rightarrow \frac{-1600}{24} + \frac{579}{24} = \frac{-1021}{24}[/tex]
The submarine descends again 78 and 3/4 yards
This means we need to subtract [tex]-78\frac{3}{4}\text{ yards from } -\frac{1021}{24}\text{ yards}[/tex]
[tex]\rightarrow \frac{-1021}{24} -(78\frac{3}{4})\\\\\rightarrow \frac{-1021}{24} - \frac{78 \times 4 + 3}{4}\\\\\rightarrow \frac{-1021}{24} - \frac{315}{4} = \frac{-1021}{24} - \frac{315 \times 6}{4 \times 6}\\\\\rightarrow \frac{-1021 -1890}{24} = \frac{-2911}{24}\\\\\text{Simplify the expression }\\\\\rightarrow \frac{-2911}{24} = -121\frac{7}{24}[/tex]
Therefore, the submarine's new position is [tex]-121\frac{7}{24}\text{ yards}[/tex] below sea level.
Answer:
The answer-121 and 7/24
Hope this helps
:D
If I'm wrong sorry
And sorry that I'm super late
I will mark free Brainlyest and free point if answered correctly.
How good is Pizza to you? And what is 8/2?
Answer:
Pizza is pretty good tbh. Also the answer is 4.
Answer:
Pizza is great
Step-by-step explanation:
And 8/2 is 4. Pls mark brainliest thx! :)
Are 8÷2 and 2÷8 equivalent
Answer:
No, 8 / 2 and 2 / 8 are not equivalent.
Step-by-step explanation:
2 Numbers switched makes a different result.
For example, switching numbers in 82.
As we switch the 8 and the 2, we get 28.
28 is not equivalent to 82.
As we do 8 / 2, when we switch the numbers, we get 2 / 8.
2 / 8 is not equivalent to 8 / 2.
As we solve both equations, 8 / 2 = 4, 2 / 8 = 0.25.
0.25 is not equivalent to 4.
Therefore, 8 / 2 and 2 / 8 are not equivalent.
Hope this helps!
[tex]\text{Hey there!}[/tex]
[tex]\bf{Are\ 8\div2\ and\ 2\div8\ equivalent?}[/tex]
[tex]\text{The answer to this question is \bf{\underline{NO}}}[/tex] [tex]\checkmark[/tex]
[tex]\bf{Reason: because \ 8\div2=4 \ and\ 2\div8 = 0.25. \ So, both\ gives\ you}\\\bf{different\ answers\ and \ NOT\ the\ same\ answers}[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Write 6,219 in expanded
form.
Answer: 6000+200+10+9
Step-by-step explanation:
The ones place multiplies by 1 so 9*1=9
The tens place multiplies by 10 so 10*1=10
The hundreds place multiply by 100 so 100+2=100
The thousands place multiply by 1000 so 1000*6=6000
Hope This Helps!!!
what is the equation of the line that passes through (1,5) and (-2,14) in slope intercept form
Answer: y = -3x + 8
Step-by-step explanation:
The formula for finding equation of line when two points are given is :
[tex]\frac{y-y_{1}}{x-x_{1}}[/tex] = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]x_{1}[/tex] = 1
[tex]x_{2}[/tex] = -2
[tex]y_{1}[/tex] = 5
[tex]y_{2}[/tex] = 14
Substituting the values , we have
[tex]\frac{y-5}{x-1}[/tex] = [tex]\frac{14-5}{-2-1}[/tex]
[tex]\frac{y-5}{x-1}[/tex] = [tex]\frac{9}{-3}[/tex]
[tex]\frac{y-5}{x-1}[/tex] = [tex]\frac{-3}{1}[/tex]
y-5 = -3(x-1)
y -5 = -3x + 3
writing the equation in slope - intercept form , we will make y the subject of the formula:
y = -3x + 3 + 5
y = -3x + 8
How do we solve for “p”, when
P= 75 + 45h
Answer:
See below.
Step-by-step explanation:
The equation is already solved for p.
p = 75 + 45h
Final answer:
To solve for the fluid density 'p', use the hydrostatic pressure formula P = pgh. By rearranging the formula to p = P / (gh) and inputting the known values for P (atmospheric pressure) and h (height of the water column), the density can be calculated.
Explanation:
To solve for density 'p' when given the equation P = 75 + 45h, where P represents atmospheric pressure and h is the height of a column of fluid, we need to incorporate the concept of hydrostatic pressure. The formula for hydrostatic pressure is P = pgh, where 'p' is the fluid density, 'g' is the acceleration due to gravity, and 'h' is the height of the fluid column. If we know the value of 'P' and the value of 'h', we can isolate 'p' by rearranging the equation to p = P / (gh). This calculation assumes that 'g', the acceleration due to gravity, is a known constant.
Let's assume 'P' is given as 1.00 atm (standard atmospheric pressure) for a water column which is the fluid we're working with. The density 'p' of water that creates this pressure can be calculated by inserting the known values into the expression for 'h'. For instance, if 'h' is 10 meters, the equation would be p = 1.00 atm / (9.81 m/s² × 10 m). To get 'p' in appropriate units, we would convert atm to pascals, and the result will provide the density in kg/m³.
What is 2,731 divided by 31 with a remainder
Answer:?
Step-by-step explanation:
not sure..
The top of a ladder is 4m up a vertical wall.The bottom is 2m from the wall.The coordinate axes are the wall and the horizontal ground.
a)Find the equation representing the ladder.
b)A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder.
Answer:
Part a) [tex]y=-2x+4[/tex]
Part b) The coordinates of the point are [tex](\frac{4}{3},\frac{4}{3})[/tex]
Step-by-step explanation:
Part a) Find the equation representing the ladder
we have the ordered pairs
(0,4) and (2,0)
Find the slope
[tex]m=(0-4)/(2-0)=-2[/tex]
Find the equation of the line in slope intercept form
[tex]y=mx+b[/tex]
we have
[tex]m=-2\\b=4[/tex]
substitute
[tex]y=-2x+4[/tex]
Part b) A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder.
If the box is a square
the x-coordinate of the point where the box touches the ladder must be equal to the y-coordinate
x=y
[tex]y=-2x+4[/tex]
substitute
[tex]x=-2x+4\\3x=4\\x=\frac{4}{3}[/tex]
[tex]y=x=\frac{4}{3}[/tex]
therefore
The coordinates of the point are [tex](\frac{4}{3},\frac{4}{3})[/tex]
YOU WILL BRAINLIST ALSO 47 POINTS!!!
1. It takes 1 banana and 3 scoops of ice cream to make a banana split. If an ice cream shop scooped 42 scoops of ice cream into banana splits, how many bananas did they use? [Type your answer as a number.]
a0 bananas ___
2. At an amusement park, Corey spends 7 minutes on a ride for every 20 minutes he spends waiting in lines. If he waits in line for 60 minutes, how many minutes does he spend on rides? [Type your answer as a number.]
a0 minutes __
3. A zoo has 3 mammals for every 5 reptiles. If the zoo has 72 mammals, how many reptiles does it have? [Type your answer as a number.] __
Answer:
Please Mark Brainliest!
Step-by-step explanation:
i think it would be 14 bananas if u take 3 divided by 42
hope that is right.
he rides for 7 min and waits in line for 20 min, if he was to wait in line for 60 min then he would ride for 21 min, if you divide 20/60 then you'll get 3. Multiply the 7 with that 3 and you'll get "21".
120
The green goober a wildly unpopular hero mixes 3 L of yellow paint was 5 L of blue plate to make a leader is a special green paint for his costume right in equation that relate to why the amount of yellow paint and leaders and be the amount of blue paint in liters needed to make the green goobers special green paint
Answer:
The equation can be y = 3b/5 or b = 5y/3
Correct statement and question:
The Green Goober, a wildly unpopular superhero, mixes 3 liters of yellow paint with 5 liters of blue paint to make 8 liters of special green paint for his costume.
Write an equation that relates the amounts (in liters) of yellow paint (y) and blue paint (b) needed to make the Green Goober's special green paint.
Source:
Previous question that can be found at brainly
Step-by-step explanation:
Let y to be the amount of liters of yellow paint needed to make the Green Goober's special green paint.
Let b to be the amount of liters of blue paint needed to make the Green Goober's special green paint.
We know that:
y:b = 3:5
Therefore,
5y = 3b, dividing by 5 at both sides we have:
y = 3b/5
And also dividing by 3 at both sides we have:
b = 5y/3
Both equations relate the amounts (in liters) of yellow paint and blue paint needed to make the Green Goober's special green paint.