The length of a rectangle is seven times the width. To express the length and the width in terms of the same variable, let W be the width. Then the length is
Solve for
xx
x
x
.
n(17+x)=34x−rn(17+x) = 34x-r
n(17+x)=34x−r
n, left parenthesis, 17, plus, x, right parenthesis, equals, 34, x, minus, r
x=x=
x=
x, equals
Answer:
x = -[tex]\frac{17n+r}{n-34}[/tex]
Step-by-step explanation:
We have to solve the equation for the value of x.
n(17 + x) = 34x - r
17n + nx = 34x - r [By Distributive property ]
17n + nx - 17n = 34x - r - 17n [subtracting 17n from both the sides of the equation]
nx = 34x - r - 17n
nx - 34x = 34x - r - 17n - 34x [Subtracting 34x from both the sides of the equation]
x(n - 34) = -(r + 17n) [Division by (n - 34) on both the sides of the equation]
x = -[tex](\frac{17n+r}{n-34})[/tex]
This is the solution for x in terms of constants n and r is x = 17n + r/34 - n
Solving for x in the equation n(17 + x) = 34x − r
To solve for x, we begin by isolating x on one side of the equation. Given the equation:
n(17 + x) = 34x - r
First, distribute n on the left-hand side:
17n + nx = 34x - r
Next, rearrange the equation to place all terms involving x on one side:
17n + r = 34x - nx
Factor out x on the right side:
17n + r = x(34 - n)
Solve for x by dividing both sides by (34 - n):
x = 17n + r/34 - n
This is the solution for x in terms of constants n and r.
Jerry deposited $20,000 on an investment that will give $1,750 for every year that his money stays in the account. how much money will he have in his account by the end of year 8
the interest rate is 8.75%
Amount=20000(1+8.75%/100) into power of time 8
=39125.88
A coffee merchant wants to make 6 pounds of a blend of coffee costing five dollars per pound. The blend is made using a six dollar per pound grade coffee and a three dollar per pound grade of coffee. How many pounds of each of these grades should be used?
Answer:
We should use 4 pounds of $6 coffee and 2 pounds of $3 coffee for the blend.
Step-by-step explanation:
The blend should,
Cost = $5
Weigh = 6 pounds.
Lets take the weight of $6 coffee as [tex]x[/tex] pounds
And lets take the weight of $3 coffee as [tex]y[/tex] pounds.
Lets write an equation for the weight of the blend,
[tex]x+y=6[/tex] <---------- 1st equation.
[tex]\frac{6x+3y}{x+y} =5[/tex]
=[tex]6x+3y=5x+5y[/tex]
=[tex]x=2y[/tex] <---------- 2nd equation
We can substitute to x in 1st equation from 2nd equation,
⇒[tex]2y+y=6[/tex]
=[tex]2y+y=6[/tex]
=[tex]3y=6[/tex]
=[tex]y=2[/tex]
We can substitute y value to 2nd equation to find x,
⇒[tex]x=2y[/tex]
=[tex]x=2*2[/tex]=[tex]x=4[/tex]
Therefore, we should use 4 pounds of $6 coffee and 2 pounds of $3 coffee for the blend.
round to the place value of the underlined digit 234,890 the 2 is underlined
the answer is 230,000 because we have to look at the 3 and it is less that 5 so the 2 stays the same and the rest turns to zeros
the ratio of yellow roses to red roses in a garden is 47 to 96. express this ratio in two different ways
A. 51 and 28
B. 17 and 84
C. 17 and 51
D. 51 and 84
Answer: the answer is c
Please help. I will mark Brianly !
It’s a positive because 1,132,701 is greater than -47,320
Hope that helps :)
jade as $20. she wants to buy as many bracelets as she can afford. Each bracelet costs $3.78. ade estimated she could buy 5 brackets, then did this calculation: $3.78×5=$18.90
Answer:
Jade is able to buy 5 bracelets
Step-by-step explanation:
In one baseball season, Peter hit twice the difference of the number of home runs Alice hit and 6. Altogether , they hit 18 home runs.How many runs did each player hit that season. Write and solve an equation .
Use the point-slope form of a line to write the equation of a line that has a slope of 2 and passes through the point (–4, 3). Write the equation in slope-intercept form.
Answer:
y = 2x + 11
Step-by-step explanation:
y - 3 = 2(x + 4)
y - 3 = 2x + 8
y = 2x + 11
Given: 5 > x + 7.
Choose the solution set.
{x | x R, x > -2}
{x | x R, x < -2}
{x | x R, x > 2}
{x | x R, x < 2}
Answer:
[tex]\huge\boxed{\{x|x\in\mathbb{R},\ x<-2\}}[/tex]
Step-by-step explanation:
[tex]5>x+7\qquad|\text{subtract 7 from both sides}\\\\5-7>x+7-7\\\\-2>x\to x<-2}[/tex]
Corinne’s group was responsible for painting windows on the set of a school play. The group painted 18 windows in 90 minutes. If they continued painting at this rate, how many windows would they paint in 3 hours
90/18 equals 5 minutes for each window,so after 3 hours they would paint 36 windows. 180 minutes in three hours so 180/5=36
100=2.5h-15 in a word problem
Question from Equation
A
Suppose that h (in hours) represents the number of hours that an incandescent light bulb must be left on in order to heat a very small crawlspace underneath a house. Suppose further that the wattage of the bulb will be the only factor affecting the number of hours the bulb has to stay on. Let the wattage of the Bulb be B. There is a correction factor of C that can be subtracted from the term containing h.
Write a general formula for the what the equation says.
B = 2.5h - C
B
If the wattage of the bulb is 100 and and the Correction factor is 15, how many hours does the bulb have to stay on.
100 = 2.5h - 15
115 = 2.5h
2.5h = 115
h = 46 hours
The sun produces 3.8*10^27 joules of energy per second . How much energy is produced in a year. The year is approximately 31,000,000 seconds
Open that attachment and that should be the answer.
Answer:
1.178 x 10^35 Joule
Step-by-step explanation:
Energy produced by sun in one second = 3.8 x 10^27 J
Energy produced by sun in a year = Energy produced by sun in one second x number of seconds in one year
According to the question, the number of seconds in one year
= 31,000,000 seconds
Energy produced by the sun in one year = 3.8 x 10^27 x 31,000,000
= 1.178 x 10^35 Joule
Thus, the energy produced by the sun in a year is 1.178 x 10^35 Joule.
Matthew earned 325$ giving haircuts. He charged 25$ for each haircut how many haircuts did he give
Matthew charges $25 for each haircut, and earned $325
Divide 325 with 25
325/25 = 13
13 haircuts were given.
hope this helps
13 because 325/25 = 13
Need help with dividing
1) 15/5 = 3 .
2) 27/3= 9
3)48/8 = 6
4) 84/7= 12
5)32/4= 8
6) 90/9 =10
7) 30/5= 6
8) 22/2 = 11
9) 60/12= 5
10) 21/3= 7
11) 44/11= 4
12) 54/6 = 9
13) 132/12 = 11
14) 70/ 10= 7
15) 99/9 = 11
HOPE THIS HELPS XD
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simplify the expression 5a-2a+9
It would be 3a+9. You want to add the like terms. To solve, first add all the "a's". You jave 5a, minus 2a, so you are left with 3a. There's only 1 whole number so just leave it be.
Please Fill in the Blank with the simplified equation. 4a/5 = 24
Multiply both sides by 5
4a / 5 × 5 = 24×5
20a/5 = 120
4a = 120
Divide both sides by 4
4a/4 = 120/4
a = 30 is the answer
For what value of n does (1/36)^n=216
(1/36)^n = 216
Rewrite 36 as 6^2
(1/6^2) ^n = 216
Since 36 is in the denominator, the exponent is negative
(6^-2) ^n = 216
Rewrite 216 as 6^3
(6^-2)^n = 6^3
We know that a^b^c = a^(b*c) so
6^(-2n) = 6^3
Since the bases are the same, the exponents are the same
-2n = 3
Solving for n
n =-3/2
n = -1.5
Final answer:
The value of n for which [tex](1/36)^n[/tex] equals 216 is -3/2. This is found by expressing both sides of the equation with the common base of 6 and equating the exponents, then solving for n.
Explanation:
To find the value of n for which [tex](1/36)^n[/tex]= 216, first we express 216 as a power of 6, since 36 is a power of 6 (36 = [tex]6^2[/tex]): 216 = [tex]6^3[/tex]. We can then rewrite the equation using this equivalent expression of 216 and the knowledge that 1/36 is [tex]6^-2[/tex]:
[tex](6^-2)^n = 6^3[/tex]
Using the power of a power rule, this simplifies to:
[tex]6^(-2n) = 6^3[/tex]
Since the bases are the same, the exponents must be equal:
-2n = 3
Dividing both sides by -2 to solve for n, we get:
n = -3/2
Which statement best explains who earns the most money per item sold
Since you didn’t include the statements, the answer is Marsha.
Why? Her slope increases more per item sold than Dreya.
[tex]\text{The slope formula is: }y=mx+b[/tex]
Marsha earns the most money per item sold because her profit margin is higher, and her earnings increase more rapidly as she sells more items compared to Dreya. Correct option is 2.
Marsha earns the most money per item sold because her profit margin per unit is higher than Dreya's. Profit margin is calculated by subtracting the cost of producing or acquiring an item from its selling price and then dividing the result by the selling price. If Marsha's profit margin per item is larger than Dreya's, it means that she earns more money for each item sold.
The statement also mentions that Marsha's slope increases more per item sold than Dreya's. This likely refers to a graphical representation where Marsha's revenue or profit line has a steeper slope than Dreya's. A steeper slope indicates that Marsha's earnings increase at a faster rate for each additional item sold, reinforcing the idea that she earns more money per item.
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Complete question is:
The graph below shows the weekly salaries of two employees based on the number of items sold. Salaries A graph has items sold on the x-axis and weekly salary on the y-axis. A line for Dreya goes through points (0, 500) and (4, 600). A line for Marsha goes through points (0, 250) and (3, 400). Which statement best explains who earns the most money per item sold?
1. Dreya earns the most money per item sold because her line increases at a faster rate than Marsha’s.
2. Marsha earns the most money per item sold because her line increases at a faster rate than Dreya’s.
3. Dreya earns the most money per item sold because her line begins at a higher point than Marsha’s.
4. Marsha earns the most money per item sold because her line begins at a higher point than Dreya’s.
SOMEBODY HELP ME PLEASE?! If planet 1 is 31.3 million miles farther from the sun then planet 2 then planet 3 is 23.2 million miles farther from the sun then planet 1. When the totals of the distances for these three planets from the sun is 193.8 million miles, how far away from the sun is planet 2?
All you have to do is add 31300000+23200000 which equals 54500000. Next subtract 54500000 from 193800000 which equals 139300000. So plant 2 is 139.3 million miles away from the sun
Let Planet 2 = X
Planet 1 = X + 31.3
Planet 3 = x +(31.3+23.2) = x + 54.5
Add the 3 distances together:
x + x +31.3 + x + 54.5 = 193.8
3x + 85.8 = 193.8
Subtract 85.8 from each side:
3x = 108
Divide both sides by 3:
x = 108 / 3
X = 36
Planet 2 = 36 million miles
Planet 1 = 36 + 31.3 = 67.3 million miles
Planet 3 = 36 + 54.5 = 90.5 million miles
36 + 67.3 + 90.5 = 193.8
A 32m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 34m.
Find the length of the shadow. If necessary, round your answer to the nearest tenth.
One serving of yogurt has 95 cal what is a reasonable estimate for the number of calories in 2.5 servings of yogurt One serving of yogurt has 95 cal what is a reasonable estimate for the number of calories in 2.5 servings of yogurt
Answer:
2.5 servings have 237.5 calories.Step-by-step explanation:
To solve this problem we need to apply the rule of three.
If one serving has 95 calories, then how much calories would have 2.5 servings?
[tex]2.5 \ servings \ \frac{95 \ calories}{1 \ serving}=237.5 \ calories[/tex]
Therefore, 2.5 servings have 237.5 calories.
What expression is equivalent to 3/4-1/2? i know it equals 1/4 but what is an expression equivalent to 3/4-1/2?
An expression equal to 3/4 - 1/2 would be 6/8 - 2/4.
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
The expression is given as
[tex]\dfrac{3}{4}-\dfrac{ 1}{2} = \dfrac{-1}{4}[/tex]
Also,
[tex]\dfrac{-1}{4}-\dfrac{ 1}{2} = \dfrac{3}{4}[/tex]
Any equation that equals 1/4 will work in this situation.
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how do you work out this problem?
3x+15=66
3x + 15 = 66
-15 -15
3x = 51
Divide 51 by 3 which equals 17.
25% of the customers at Terrific Tresses hair salon have curly hair. If the salon has 644 customers, How many do not have curly hair?
To find the number of customers without curly hair at the salon, we multiply the total number of customers by the percentage with curly hair and subtract that from the total number of customers.
Explanation:To find the number of customers who do not have curly hair, we first need to determine the number of customers who do have curly hair. We know that 25% of the customers have curly hair, which is equal to 0.25. To find this number, we multiply 0.25 by the total number of customers. So, 0.25 * 644 = 161.
Since we have the number of customers with curly hair, we can subtract this from the total number of customers to find the number without curly hair. So, 644 - 161 = 483 customers do not have curly hair at Terrific Tresses hair salon.
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A restaurant has 1,996 forks, 1,745 knives and 2,116 spoons. The owner wants to have 2,000 of each utensil. She can buy more utensils or donate extra utensils. How many additional forks and knives are need? How many extra spoons are there?
Answer:
4 forks and 255 knives will be needed more, while 116 spoons are extra.
Step-by-step explanation:
A restaurant has 1996 forks, 1745 knives and 2116 spoons.
Owner wants to have 2000 of each utensil.
So make them equal to 2000, number of forks needed = 2000 - 1996 = 4
[Subtracted from 2000 because number of forks are less than 2000]
Number of knives needed = 2000 - 1745
= 255
[Again subtracted from 2000 because number of knives are less]
Number of spoons to be donated = 2116 - 2000
= 116
[2000 is subtracted from total number of spoons because spoons are more than 2000]
Therefore, 4 forks and 255 knives will be needed more, while 116 spoons are extra.
Whitney sells cars at a local dealership. She receives a monthly salary of $1,337.00 and a $177.00 commission on each car she sells. If Whitney receives her commission check at the end of the month along with her salary check, which of the following equations can be used to determine her total pay for the month? (Let x represent the number of policies sold and y represent the total amount of pay for the month.)
Answer: y = 1,337.00 + 177.00x
Explanation:
The total pay for the month that Whitney receives is a composition of the fixed salary, $1,337.00, and the commission, $177.00 one ach car she sells.
The commision, in turn is a function of the number of cars that she sells. So the composed function is the sum of two terms: the basic salary and the comissions.
The variables used are:
dependent variable, total pay for the month: yindependent variable, number of policies sold: xHence, the function is: y = 1,337.00 + 177.00x
What is the measure of the angle between the minute and the hour hands, when they show 3:05 PM?
Answer:
62.5°
I hope it works for you!
elena has 80 unit cubes. what is the volume of the largest cube she can build with them?
3^3 = 27
4^3 = 64
5^3 = 125
The largest cube has volume 64 cubic units, and the sides are 4 units long.
The largest cube Elena can build is of side [tex]5\;units[/tex] having a volume of [tex]64\;unit^3[/tex].
The volume of a cube is equals to the length of the side raised to the power of 3. Mathematically, [tex]V=(side)^3[/tex].
According to the question, Elena has 80 unit cubes.
So,
For [tex]side=1\;unit;\;Volume=1\;unit^3[/tex]
For [tex]side=2\;unit;\;Volume=8\;unit^3[/tex]
For [tex]side=3\;unit;\;Volume=27\;unit^3[/tex]
For [tex]side=4\;unit;\;Volume=64\;unit^3[/tex]
For [tex]side=5\;unit;\;Volume=125\;unit^3[/tex]
Hence, the largest cube Elena can build is of side [tex]5\;units[/tex] having a volume of [tex]64\;unit^3[/tex].
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