Ans:
The solve for x:
2.41x+3.65(248-x)=622.48
2.41x+3.65×248-3.65x=622.48
2.41x-3.65x+905.2=622.48
-1.24x=622.48-905.2
-1.24x= -282.72
x= -282.72÷ -1.24
x=228
Pounds of nuts nper pound $2.41should be included:
228× $2.41
=549.48
Hope it Helps!
The grocer should include approximately 227.84 pounds of the nuts that cost $2.41 per pound.
The grocer is trying to find the right balance of two kinds of nuts to reach a desired price point for a mix. The equation provided should be solved for x, which represents the number of pounds of nuts costing $2.41 per pound. Here is a step-by-step solution:
Begin with the given equation: 2.41x + 3.65(248 - x) = 622.48.
Distribute 3.65 across the parentheses: 2.41x + 3.65 * 248 - 3.65x = 622.48.
Combine like terms: -1.24x + 904.80 = 622.48.
Subtract 904.80 from both sides of the equation: -1.24x = -282.32.
Divide both sides by -1.24 to find x: x = 227.84.
So, the grocer should include approximately 227.84 pounds of the nuts that cost $2.41 per pound.
Round 0.817 to the hundredth
Answer:
0.820
Step-by-step explanation:
7 is above five so round to the nearst tenth
The length of a rectangle is 2 km less than 3 times the width. If the perimeter is 68 km,What is the length of the rectangle
Answer:
The length of the rectangle is 25 km
Step-by-step explanation:
Let
x ----> the length of rectangle
y ----> the width of rectangle
we know that
The perimeter of rectangle is
[tex]P=2(x+y)[/tex]
we have
[tex]P=68\ km[/tex]
so
[tex]68=2(x+y)[/tex]
simplify
[tex]34=(x+y)[/tex]---- > equation A
[tex]x=3y-2[/tex] ---> equation B
substitute equation B in equation A and solve for y
[tex]34=(3y-2)+y[/tex]
[tex]34=4y-2[/tex]
[tex]4y=34+2[/tex]
[tex]4y=36[/tex]
[tex]y=9\ km[/tex]
Find the value of x
[tex]x=3(9)-2=25\ km[/tex]
therefore
The length of the rectangle is 25 km
4. The annual salaries of employees in a large company are approximately
normally distributed with a mean of $50,000 and a standard deviation of
$20,000:1
a) What percent of people earn less than $40,000?
b) What percent of people earn between $45,000 and $65,000?
c) What percent of people earn more than $70.000
a. What percent of people earn less than $40000?
Solution: Let S be the random variable of a salary of employee (in $), S ~ N(50000,20000). Then the random
variable X =−50000
20000
~N(0,1).
( < 40000) = ( <
40000 − 50000
20000 ) = ( < −0.5) = (−0.5) = 0.3085375.
Here Φ(x) denotes the cumulative distribution function of a standard normal distribution.
Answer: 31%.
b. What percent of people earn between $45000 and $65000?
Solution:
(45000 < < 65000) = (
45000 − 50000
20000 < <
65000 − 50000
20000 ) = (−0.25 < < 0.75)
= (0.75) − (−0.25) = 0.7733726 − 0.4012937 = 0.3720789.
Answer: 37%.
c. What percent of people earn more than $70000?
Solution:
( > 70000) = ( >
70000 − 50000
20000 ) = ( > 1) = 0.8413447.
Answer: 84%.
By converting the salary amounts to Z-scores and checking a standard normal distribution table, the percentages of people earning less than $40,000, between $45,000 and $65,000, and more than $70,000 are approximately 30.85%, 37.21%, and 15.87%, respectively.
Explanation:In this question, we are dealing with what is known as a 'normal distribution' in statistics. The properties of a normal distribution allow us to calculate the percentages requested. First, we need to convert each salary to a 'Z-score'. A z-score will tell us how many standard deviations away from the mean the salary lies.
a) For $40,000, the Z-score will be (40000-50000)/20000, yielding -0.5. Looking up this Z-score in a standard normal distribution table, or using a calculator equipped with normal distribution functions, we find that roughly 30.85% of employees would earn less than $40,000.
b) For the range $45,000 to $65,000: the Z-scores will be -0.25 and 0.75 respectively. These correspond to about 40.13% and 77.34%. The percentage of people earning between these amounts would be 77.34% - 40.13% = 37.21%.
c) For over $70,000: the Z-score is 1.0 which corresponds to around 84.13%. Therefore, the percentage earning more than $70,000 is 100% - 84.13% = 15.87%
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Can u guys answer these 3 questions for me w/ work shown and also label the ones u guys did so I won’t get them mixed up
8:
q/6 + p
12/6 + 10
2 + 10
12
10:
15 - m/p
15 - 3/10
14.7
12:
p - 2/qp
7 - 2/(4)(7)
7 - 2/28
7 - 1/14
6.928
A 48ft wire is cut into 3 pieces. The 2nd is three times as long as the first piece. The third piece is 4 times as long as the second piece. How long is each piece?
Answer:
3,9,and 36
Step-by-step explanation:
small=x
median=3x
big=12x
x+3x+12x=48
16x=48
x=3
3=small
3*3=9 (median)
9*4=36(big)
3+9+36 = 48
The problem is solved by setting up and solving an equation where 'x' represents the length of the first piece. The three pieces of the wire measure 3ft, 9ft, and 36ft respectively.
Explanation:The question is about finding the length of each piece of a 48ft wire when it's divided into 3 pieces, with each piece having a specific relative length. Let's denote the length of the first piece as 'x'. According to the problem, the second piece is three times as long as the first one, so it's '3x', and the third is four times as long as the second, so it's '4*3x', which simplifies to '12x'.
Combining all these pieces, we get the total length of the wire: x + 3x + 12x = 48ft. This simplifies to 16x = 48ft. Finally, solving for 'x', we find that x = 48ft / 16 = 3ft. Therefore, the three pieces of the wire measure 3ft, 9ft, and 36ft respectively.
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Someone please help!!
Answer:
I believe the answer is D, 145 degrees
Step-by-step explanation:
180 - 35 = 145
Apologies if I am incorrect.
2. SALES TAX Olivia purchases a DVD movie priced
at $21.99. The sales tax is 6.5%. What is the total
price of the movie, including tax?
Answer:
$23.42
Step-by-step explanation:
To find the sales tax, you need to 6.5% of $21.99To do this you have to times need to turn 6.5% into a decimal, which is 0.065 (i moved decimal point 2 numbers to the left)then you do 0.065 × 21.99 which equals 1.42935now you have to add 21.99 with 1.42935 = 23.41935because of the context of the question, you need the answer needs to be rounded up to the nearest hundredth. making the answer $23.42 totalwhich of these is not a possibe r-value?
a.1.75
b.-0.1
c.0.2
d.-0.5
Among the given options, "-0.1" is not a possible R-value. R-values represent the thermal resistance of a material, and they are always positive values.
What are R values used forR-values are used to measure the ability of a material to resist the flow of heat, and a higher R-value indicates better insulation. Therefore, values like 1.75, 0.2, and -0.5 could potentially be R-values, with 1.75 and 0.2 being good insulators and -0.5 indicating a poor insulator. However, a negative value like -0.1 does not make physical sense in the context of R-values.
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The Plumber charges $50 to come to her home an a additional $30.75 every hour he works on the job Sarah has $234 .50 in savings for the repairs what is the maximum amount of hours that the plumber worked on her faucet.
Answer:
6 hours
Step-by-step explanation:
234.50-50.00=184.50
184.50/30.75=6
6 hours
The average distance from the sun to the planet mercury is about 58,000,000km the distance of a human hair is about 0.0025
What is the distance from the sun to mercury
Answer:
58,000,000 km
Step-by-step explanation:
the hair thing is just to throw you off
The average distance from the Sun to the planet Mercury is approximately 58 million kilometers, which also translates to 0.39 astronomical units (AU). Mercury's orbit varies from 46 million kilometers at its closest to 70 million kilometers at its farthest from the Sun due to its elliptical orbit.
Explanation:Distance from the Sun to Mercury
The average distance from the Sun to Mercury is about 58 million kilometers. This distance is known as the semimajor axis of Mercury's orbit. Since Mercury's orbit has a high eccentricity of 0.206, its actual distance from the Sun can vary significantly. The closest point, or perihelion, is about 46 million kilometers, and the farthest point, or aphelion, is about 70 million kilometers. The concept of astronomical unit (AU) is used as a standard measure within the solar system, defined as the average Earth-Sun distance, which is about 150 million kilometers or 1 AU. Consequently, Mercury's average distance from the Sun can also be expressed as 0.39 AU.
In which direction does the head of the molecules of the plasma membrane face?
O toward the head of another molecule
O toward the middle
O
away from water
O toward the outside
Answer:
toward the outside
Step-by-step explanation:
The plasma membrane is composed of the phospholipid bilayer and cholesterol.The phospholipids have a head and two tails.The head is water loving, hence it is termed as polar/hydrophilic.The tails are nonpolar/ water fearing/hydrophobic.Both inside and outside the cell, water is vital thus the phospholipid line up in two layers where the head points outwards and the tails hidden in the middle.
Answer:
to the middle
Step-by-step explanation:
Suppose 4/5 of a different box of oranges weighs 8 pounds. How many pounds of oranges are in the full box?
Answer:
10
Step-by-step explanation:
x×4/5=8
x=8×5/4
x=10
Answer:
The correct answer is 10.
Step-by-step explanation:
One of the ways to find this answer is the following:
If 4/5 represent 8 pounds, it means that every fifth is two pounds.
If the total amount is five fifths, it is necessary to perform the following multiplication:
2 * 5 = 10, so it is the correct answer.
Help me please!!? Idk it
Answer:
do the area of the triangle formula the base × height ÷ 2
what is the point slope form of the line with slope -1/4 that passes through the point ( -2,9 )
[tex]\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{9})~\hspace{10em} \stackrel{slope}{m}\implies -\cfrac{1}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{-\cfrac{1}{4}}[x-\stackrel{x_1}{(-2)}]\implies y-9=-\cfrac{1}{4}(x+2)[/tex]
Simplify by combining like
terms:
--6x - 12 + 8y + 16x
The answer is 10x+8y-12 if the problem was -6x - 12 + 8y + 16x because you added an extra negative at the start.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each description with the correct inequality.
20 POINTS ANSWER ASAP
The local high school football team will be playing in the state championship. The coach has free tickets that he will be distributing to 52 football players for their friends and families. If he would like to give each player at least 3 tickets, what is the minimum total he must have?
Answer:
156
Step-by-step explanation:
52*3+156
Any body know, 38 to the power of 5? i know its hard, it is for me.
38 to the power of 5 is written as 38^5
When a number is raised to a power, multiply that number by itself the number of the power:
38 x 38 x 38 x 38 x 38 = 79,235,168
What is the awnser to -12/-4=
[tex]\frac{-12}{-4}[/tex] is 3.
Answer:
-12/-4 is 3
Step-by-step explanation:
hope this helps !!
45 = 5(3x – 6)
Help me
Answer is provided in the image attached.
Please help me!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
a. 81.9
b. 144.7
c. 110.2
d. 48
Step-by-step explanation:
a. 120/109.2 = 90/x
x = 81.9
b. 45.6/120 = 55/x
x = 144.7
c. 304.8/96 = 350/x
x = 110.2
d. 109.2/45.6 = 115/x
x = 48
Use the Distributive Property to multiply 8 and 45 in your head.
What is the answer?
32 + 40 + 72
40 + 40 = 80
320 + 40 = 360
320 + 5 = 325
Answer:
320+40=360
Step-by-step explanation:
8(40+5)
320+40=360
Answer:
320+40=360
Step-by-step explanation:
First you split 45 to 40 and 5
45= 40+5
Next you multiply each piece of 45 by 8
(40x8)+ (5x8)
Simplify
320+40
Solve
320+40=360
Richard Lens receives a 3.5% commission for selling cleaning supplies. What is his commission on sales of $122,591?
Answer:
$4,290.69
------------------------------------------------------------------------------------------------------
- To find the commission, just convert the percentage into a decimal (divide by 100) and multiply it by the sales.
3.5% = 0.035
122,591 x 0.035 = $4,290.69
Answer:
Richard Lens received a commission of $4,290.685 on a sale of $122,591.
Step-by-step explanation:
We are given the following information in the question:
Total sale made = $122,591
Commission received by Richard = 3.5%
Amount of commission relieved =
Formula:
[tex]\displaystyle\frac{\text{Percentage of Commission recived}}{100}\times \text{Total sales}[/tex]
= [tex]\displaystyle\frac{3.5}{100}\times 122591[/tex]
= $4290.685
Thus, Richard Lens received a commission of $4,290.685 on a sale of $122,591.
Help answer if you know it 20 points
Answer:
1 4 x 25
2 25 x 4
Step-by-step explanation:
3 in the power of ten word form
3 in the power of ten means "10^3."
[tex]10^3[/tex]
How to solve exponents is to multiply the number as many times as it's exponent. So in this case you will have to multiply ten, three times.
[tex]10\times10\times10=1000[/tex]
Which would mean that....
[tex]10^3=1000[/tex]
The answer is 10^3.
Hope this helps.
Which inequality has a solution set of {x ⎸x > 3 or x < –3}? Question 16 options: a) |2| < 6 b) |2| ≥ 6 c) |2| > 6 d) |2| ≤ 6
Answer:
Option C) |2x| > 6 is correct.
Step-by-step explanation:
Consider the provided solution set:
{x ⎸x > 3 or x < –3}
Now check which options are correct.
Option A) |2x| < 6
[tex]\mathrm{If}\:|u|\:<\:a,\:a>0\:\mathrm{then}\:-a\:<\:u\:<\:a[/tex]
[tex]-6<2x<6[/tex]
[tex]-3<x<3[/tex]
Thus, the option is incorrect.
Option B) |2x| ≥ 6
[tex]\mathrm{If}\:|u|\:\ge \:a,\:a\:>\:0\:\mathrm{then}\:u\:\le \:-a\:\quad \mathrm{or}\quad \:u\:\ge \:a[/tex]
[tex]2x\le \:-6\quad \mathrm{or}\quad \:2x\ge \:6[/tex]
[tex]2x\le \:-6\quad \mathrm{or}\quad \:2x\ge \:6[/tex]
Thus, the option is incorrect.
Option C) |2x| > 6
[tex]\mathrm{If}\:|u|\:>\:a,\:a>0\:\mathrm{then}\:u\:<\:-a\:\quad \mathrm{or}\quad \:u\:>\:a[/tex]
[tex]2x<-6\quad \mathrm{or}\quad \:2x>6[/tex]
[tex]x<-3\quad \mathrm{or}\quad \:x>3[/tex]
Thus, the option is correct.
Option C) |2x| ≤ 6
[tex]\mathrm{If}\:|u|\:\le \:a,\:a\:>\:0\:\mathrm{then}\:-a\:\le \:u\:\le \:a[/tex]
[tex]2x\ge \:-6\quad \mathrm{and}\quad \:2x\le \:6[/tex]
[tex]x\ge \:-3\quad \mathrm{and}\quad \:x\le \:3[/tex]
Thus, the option is incorrect.
Hence, Option C) |2x| > 6 is correct.
Simplify 2x2 - y for x= 3 and y=-2.
Answer:
20
Step-by-step explanation:
2x^2-y
x = 3 and y = -2
So then we have 2*3^2--2 which equals 20.
The solution to the algebraic expression 2x² - y for x= 3 and y=-2. is: 22
How to solve Algebra Expressions?An algebraic expression in mathematics is defined as an expression which is made up of variables and constants, along with algebraic operations
We are given the algebraic expression as:
2x² - y for x= 3 and y=-2.
Thus, plugging in 3 for x and -2 for y in the given equation and we have:
2(3)² - (-2)
= (2 * 9) + 4
= 18 + 4
= 22
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Enter an inequality that represents the description, and then solve.
Nine more than seven times a number (x) is at least thirty.
Inequality:
The solution to the inequality is
Answer:
7x + 9 ≥ 30
x ≥ 3
Step-by-step explanation:
7x + 9 ≥ 30
7x ≥ 21
x ≥ 3
Final answer:
The inequality 7x + 9 ≥ 30 represents the description given, and the solution is x ≥ 3, meaning any number greater than or equal to 3 satisfies the inequality.
Explanation:
The inequality that represents the description 'nine more than seven times a number (x) is at least thirty' is written as 7x + 9 ≥ 30.
To solve this inequality:
Subtract 9 from both sides of the inequality: 7x ≥ 21.Divide both sides by 7 to isolate x: x ≥ 3.Therefore, the solution to the inequality is that x must be a number greater than or equal to 3.
6. What is 45% of 900?
Answer:
405
Step-by-step explanation:
45% of 900
=(45/100) . 900
=405
Do number one Show your work✨