Answer:
b = 5 / 9
Step-by-step explanation:
8/9x + b = 1/9(8x + 5)
Make b the subject of formula.
b = 1/9 (8x + 5) - 8/9x
Multiply through by 9
9b = 9 * 1/9 ( 8x + 5) - 9 * 8/9x
9b = 8x + 5 - 8x
9b = 5
b = 5 / 9
The value of b = 5 / 9
Simplify:-(x +9) -3(4x - 3)
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What is the area of the irregular figure below?
12in.
6 in.
4in.
WILL GIVE BRAINLIEST NEED HELP ASAP
Answer:
can not be a triangle
Step-by-step explanation:
4 plus 6 equals 10 not nore than twelve.
Please help! I will mark you as brainliest!
Answer:
8
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
5(x/2 + 3) = 35
Combine like terms
5x/10 + 15 = 35
Subtract both sides by 15
5x/10 = 20
divide both sides by 5
x/2 = 4
multiply by 2
x = 8
The production rate at a marble manufacturer is 120 marbles a minute.
1) How many marbles can be produced in an 8 hour shift?
A) 28,800 marbles
B) 48,000 marbles
C) 57,600 marbles
D) 60,000 marbles
2) If the manufacturer operates 4 days a week with two shifts each day (a day shift and a night shift), how many marbles are produced in a week?
A) 230,400 marbles
B) 345,600 marbles
C) 460,800 marbles
D) 921,600 marbles
Answer:
C) 57,600 marbles
C) 460,800 marbles
Step-by-step explanation:
First we need to determine how many minutes in 8 hours
8 hours* 60 minutes/1 hour = 480 minutes
Take the marbles per minute * time in minutes
120 marbles / minutes * 480 minutes = 57600 marbles
This would be the number of marbles per shift
4 days with 2 shifts per day = 8 shifts per week
8 shifts * 57600 marbles / shift =460800 marbles per week
Answer:
1) C) 57,600 marbles
2) C) 460,800 marbles
Step-by-step explanation:
1) 120 × 8 × 60
57,600
2) 4 × 2 × 57,600 marbles
460,800
Solve the system of linear equations by graphing. Round the solution to the nearest tenth as needed. Y + 2.3 = 0.45x and -2y = 4.2x - 7.8
Answer:
(2.4, -1.2)
Step-by-step explanation:
Start by moving the x and the y to the same side and moving the number across the equal sign in both equations. We should now have y-0.45x=-2.3 and 2y+4.2x=7.8. We can use the elimination method by multiplying the first equation by -2 to get -2y+0.9x=4.6 and 2y+4.2x=7.8. From there, add the two equations together, eliminating y (-2+2=0). We now have 5.1x=12.4; divide both sides by 5.1 to get x=2.4. Then, in any of the two equations, let's use y-0.45x=-2.3, substitute x with 2.4. Now we have y-1.08=-2.3. Add 1.08 to both sides to get y=-1.22; round that to the nearest tenth to get -1.2.
How do you find the area of this shape?
Answer:
the area is 20
Step-by-step explanation:
If you put the triangles together, it makes a perfect square of 4, 16+4 = 20
The weights of six animals at the zoo is shown in the table below.
weight of Animals
(LBS)
5
24
38
52
66
85
what is the mean absolute deviation? round to the nearest tenth. _____
(don't guess or lie to your answers pls)
Answer:
22.7
Step-by-step explanation:
The required mean absolute deviation is 22.9, rounded to the nearest tenth.
What is Statistic?Statistic is the study of mathematics that deals with relations between comprehensive data.
The mean weight of the animals is 44.3.
To find the mean absolute deviation, we take the absolute value of the difference between each weight and the mean, and then take the average:
= (|5-44.3| + |24-44.3| + |38-44.3| + |52-44.3| + |66-44.3| + |85-44.3|) / 6
= (39.3 + 20.3 + 6.3 + 8.3 + 22.3 + 41.3) / 6
= 137.5 / 6 = 22.9
So the mean absolute deviation is 22.9, rounded to the nearest tenth.
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Find the area of the figure.
A) 30 cm2
B) 36 cm2
C) 42 cm2
D) 48 cm2
Answer:
B
Step-by-step explanation:
The area of the rectangle would be 30 while the area or the triangle is 6
Rectangle
b x h = A
5 x 6 = 30
A = 30
Triangle
1/2 x b x h = A
1/2 x 3 x 4 = A
1/2 x 12 = 6
A = 6
Answer:
b
Step-by-step explanation:
Philip wants to give $156 to United Way, but he wants to give it over the coming year. If he signs up to have a regular amount withheld from his savings each week and given to United Way, how much will be taken from his pay for that purpose every week?
Answer:
Hence in 52 weeks he will distribute 156 $ with 3 $ per week from his pay
Step-by-step explanation:
Given:
156 $ to United way for a year.
With each weeks.
To Find:
How much amount he will take for pay for giving to United way.
Solution:
He wants to give money to united way in a year
So there are 365 days per year
And he held money from is his pay every week
So there 7 days per weeks.
Hence Total number of weeks in a year will given by,
=365/7
=52 weeks per year
Now he held every week from his pay to United way
And Total amount to distribute is about 156 $ in 52 weeks.
So Every week amount will be
=156$/52
=3 $ /week
Final answer:
To donate $156 to United Way over a year, Philip needs to have $3 withheld from his savings each week.
Explanation:
To calculate the amount Philip will need to have withheld every week to give $156 to United Way over a year:
First, find the number of weeks in a year (52 weeks).
Divide the total amount to be donated ($156) by the number of weeks in a year to find the weekly amount: $156 ÷ 52 = $3.
Therefore, Philip will need to have $3 withheld from his savings each week to donate $156 to United Way over a year.
Can anyone help me with this?
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Ling must spend no more than $40.00 on decorations for a party. She has spent $10.00 on streamers and wants to buy bags of balloons as well. Each bag of balloons costs $2.50. The inequality below represents x, the number of bags she can buy given the spending limit and how much she has already spent on streamers. 10 + 2.5 x less-than-or-equal-to 40 Which best describes the number of bags of balloons she can buy? She can buy from 0 to 12 bags, but no more. She can buy from 0 to 20 bags, but no more. She must buy 12 or more bags. She must buy 20 or more bags.
Answer:
The one that best describes the amount is 10.00 + 2.50 x 3
Step-by-step explanation:
10,00 + 2,50 = 12,50
12,50 x 1 = 12,50
12,50 x 2 = 25,00
12,50 x 3 = 37,50
12,50 x 4 = 50,00
Final result 12.50 x 3
Answer:
A. Just did it on edge. She can buy from 0 to 12 bags, but no more.
Using the data below, determine the angle for the part of the pie chart the represents the people who prefer dogs?
A. 172.8°
B. 64.8°
C. 6.7°
D. 48°
Answer:get your money up ohh and its 6.7
Step-by-step explanation:
Answer:
172.8°
Step-by-step explanation:
the answer is in the picture
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The sales at a baseball game vary directly with the number of people attending. If the sales for a game
are $12,000 when 800 people attend, determine how many people attend if the sales for a game are
$15,000.
Answer:
1,000
Step-by-step explanation:
$12,000÷800 =15. x=people attending
$15,000÷x=15. x=1,000
$15,000×1,000=15
Final answer:
Using the concept of direct variation, a constant of variation ($15 per person) was calculated using the provided sales and attendance. This constant was then used to find the attendance for a different sales amount, which was found to be 1000 people for $15,000 in sales.
Explanation:
The question asks us to determine how many people attended a baseball game based on the direct variation between sales and attendance. Since we know that at 800 people the sales are $12,000, we can set up a proportion to solve for the number of people when sales are $15,000.
First, we find the constant of variation (k) by dividing the sales by the number of people for the given data point:
k = Sales / Number of people = $12,000 / 800 = $15 per person
Next, we use this constant to find the number of people when sales are $15,000:
Number of people = Sales / k = $15,000 / $15 per person = 1000 people
Therefore, 1000 people attended the game when the sales were $15,000.
HELP ASAP!
Solve by using Elimination.
2x - y = -3
3x + 4y = -32
A. (1, 4)
B. (-1, 1)
C. (-4, -5)
D. (0, 3)
Answer:
c
Step-by-step explanation:
A teacher says that there are fewer than 30 students but more than 20 in a classroom. The children can be divided into groups of two, three, four, six, and eight with no leftovers. How many students are there?
Need steps
Answer:
24 students
Step-by-step explanation:
- I would suggest making a list of all numbers between 20-30.
21 (divisible by only 3) = wrong
22 (divisible by only 2) = wrong
23 (not divisible) = wrong
24 (divisible by 2, 3, 4, 6, and 8) = correct
25 (not divisible) = wrong
26 (divisible by only 2) = wrong
27 (divisible by only 3) = wrong
28 (divisible by only 2 and 4) = wrong
29 (not divisible) = wrong
- Now, find if they factor into 2, 3, 4, 6, and 8. I will do this, but read what I put.
- Hope this helps! If you would like a further explanation please let me know.
The number of students in the classroom is 24, as it is the smallest multiple of 2, 3, 4, 6, and 8 that is between more than 20 and fewer than 30.
The student is given a number puzzle in a mathematics classroom setting. Based on the teacher's hints, the number of students in the classroom should be a common multiple of 2, 3, 4, 6, and 8 that also fits within the given range of between more than 20 and fewer than 30. We need to find the least common multiple (LCM) of these numbers that fits the criteria.
First, realize that since the number must be divisible by 8, it must be at least 24 since 16 is too low.
Next, confirm if 24 is also divisible by 2, 3, 4, and 6. It is indeed, as 24=2x12, 24=3x8, 24=4x6, and 24=6x4.
Because 24 is the only number between 20 and 30 that is divisible by all the given numbers, it is the answer.
Thus, the number of students in the classroom is 24.
Any help? Also please explain how you got the answer
Answer:
C (i think i did it correctly)
Step-by-step explanation:
9 times 12 is 108 -> 108 - 60 = 1 hour and 48 minutes -> 48 plus 4 = 7:52am
PLZ HELP!!! Will mark brainliest. I need answer as soon as possible because im being timed! I need b and c. Thank you!
Answer:
Step-by-step explanation:
B part
the variability of the two distributions appears to be about the same.
C part
. /. = .
the separation of . MADs. There is a difference between the population means. Going to college is worth the effort.
What is the diameter of this circle?
A)
2.5 cm
B)
3.14 cm
C)
5 cm
D)
10 cm
Answer:
D) 10 cmStep-by-step explanation:
A punch bowl is in the shape of a cylinder. the height of the punch bowel is 10inches and the diameter of the punch bowl is 14inches what is the volume of the punch you need to fill your punch bowl 1 inch from the top. use 3.14 and round to the nearest whole number
Answer:
The volume of the punch bowl is 1385 cubic inches.
Step-by-step explanation:
Cylinder:
The volume of the cylinder is [tex]\pi r^2 h[/tex], where r is radius of the cylinder and h is height of the cylinder.The lateral surface area is [tex]2\pi rh[/tex].Total surface area is [tex]2\pi r(r+h)[/tex].Given that,
A punch bowl is in the shape of a cylinder.
The diameter of the punch bowl is 14 inches.
Then the radius of the punch bowl is [tex]=\frac{14}{2}[/tex] = 7 inches.
The height of the punch bowl is = 10 inches.
The punch bowl is need to fill 1 inch from the top.
So, we need to fill the punch bowl = (10-1) =9 inches.
The volume of the punch bowl is = [tex]\pi r^2 h[/tex]
[tex]=(3.14 \times 7^2\times 9)[/tex] cubic inches
≈1385 cubic inches.
Final answer:
To fill a cylindrical punch bowl to 1 inch below the top, you would need to calculate the volume using the formula V = πr²h with the radius being half the diameter, and the height being the bowl's height minus 1 inch. Using the given dimensions, the volume needed is 1383 cubic inches of punch.
Explanation:
Calculating the Volume of a Cylinder Punch Bowl
To calculate the volume of the punch needed to fill a cylindrical punch bowl, we need to use the volume formula for a cylinder, which is V = πr²h. The diameter of the punch bowl is given as 14 inches, so the radius (r) is half of that, which is 7 inches. The height (h) of the punch needed is the height of the bowl minus 1 inch, which is 10 inches - 1 inch = 9 inches. Now, we can plug these values into the formula and use 3.14 for π:
V = π × r² × h = 3.14 × (7 inches)² × 9 inches
Doing the calculation:
V = 3.14 × 49 sq inches × 9 inches = 3.14 × 441 cubic inches = 1383.14 cubic inches. When we round this to the nearest whole number, we get a volume of 1383 cubic inches of punch needed to fill the bowl to the desired level.
f(x) = 8 - 4x has one solution.
f(x) = x2 - 9 has two solutions.
f(x) = x3+ 3x2 + 5x + 15 has three solutions.
Make a Conjecture:
A polynomial of degree n appears to have
solutions.
DONE
Answer: N
Step-by-step explanation:
A polynomial of degree n appears to have n solutions
Answer:
n
A polynomial of degree n appears to have
n solutions.
Tell whether the triangle with the given side lengths is a right triangle.
24,45,52
Answer:no
Step-by-step explanation:a right triangle needs a 90 degrees angle
What value is equivalent to -3 x 32 - 8 ÷ 2 + 6? -18 -7 -16 7
Answer:
-94.
Step-by-step explanation:
((0−3×32)−8÷2)+6
((0−96)−8÷2)+6
(-96−8÷2)+6
(-96−4)+6
-100+6
-94
Answer:
-94
Step-by-step explanation:
-3 x 32 - 8 ÷ 2 + 6
-96 - 4 + 6
-96 + 2
-94
Which option below gives the formula of k(x) = g(x) × h(x)?
k(x) = 2^x + 1
k(x) = x 2^x - 1
k(x) = 2^x - 1
k(x) = x 2^x + 1
Answer:
the answer is the the 3rd one
Final answer:
The correct formula for k(x) = g(x) × h(x), given that g(x) is an odd function and h(x) is an even function, is k(x) = x 2ⁿ - 1.
Explanation:
The student is asking which formula represents k(x) = g(x) × h(x). Given the functions g(x) = x³ - 3x and h(x) = e⁽¹x², and knowing that the product of an odd function and an even function is an odd function, the correct representation of k(x) will also be an odd function.
From the provided options, the correct formula must satisfy the conditions of being an odd function, meaning that k(-x) = -k(x). This property holds only for option two, k(x) = x 2ⁿ - 1, because this is the only option where k(x) changes sign when x is replaced with -x, fulfilling the criteria of an odd function.
Suppose that F(x) = x2 and G(X) = -3x3. Which statement best compares the graph of G(x) with the graph of F(x)?
Answer:
The graph of G(x) is the graph of F(x) flipped over the x-axis and stretched vertically.
Step-by-step explanation:
A 3-column table with 4 rows. Column 1 has entries Computer repair, sales tax, gratuity, shipping. Column 2 is labeled Store A with entries 1,200 dollars, 6 percent, 15 percent, Free. Column 3 is labeled Store B with entries 1,350 dollars, 7 percent, 15 percent, 2 percent of total price. What is the cost of the repair and sales tax combined at Store B?
Answer:
$1,444.50.
Step-by-step explanation:
To calculate the combined cost of the repair and sales tax at Store B:
Cost of repair at Store B: $1,350
Sales tax rate at Store B: 7%
Now, let's calculate the sales tax:
Sales tax = 1,350 × 7/100 = 1,350 × 0.07 = 94.50
Next, add the sales tax to the repair cost:
Total cost = 1,350 + 94.50 = 1,444.50
Thus, the combined cost of the repair and sales tax at Store B is $1,444.50.
k(x) = x -2
h(x) = 32 +1
(h + k)(2) =
A company made a storage container with sheet steel walls. The container was in the shape of a rectangular prism, as shown below. Suppose the total cost of the sheet steel was $8384. How much did the sheet steel cost per square meter?
Answer:
$ 42.78
Step-by-step explanation:
See attachment for the figure
The formula of the lateral area of the rectangular prism is:
LA = perimeter of base × height
Given:
The length of the base 'l' = 9 m
The width of the base 'w'= 5 m
The height of the prism 'h'= 7 m
perimeter of the base can be determined by
Perimeter of base = 2(l + w ) =>2(9 + 5)
Perimeter of base = 28 m
By using the formula of the lateral area
LA = 28 × 7
LA = 196 m²
Required:
sheet steel cost per square meter=?
Given: The total cost of the sheet steel was $8384
LA = 196 m²
By Dividing the cost by the lateral area, we'll know our unit cost
therefore, The unit cost = 8384 ÷ 196
The unit cost =$ 42.78
The sheet steel costed $42.78 per square meter
PLEASE HELP. 18 points
You design a frame to surround a rectangular photo. The width of the frame is the same on every side as shown. write a polynomial in standard form that represents the combined area of the photo in the frame. find the combined area of the photo in the frame when the width of the frame is 4 inches.
Answer:
A is 4x^2+84x+440 and B=840 square inches
Step-by-step explanation:
A is 4x^2+84x+440 and B=840 square inches
The task for a is to write a polynomial in standard form that represents the combined area of the photo and the frame. First, lets start with the bottom of the picture and frame. On the bottom, you have 2x+ 22 inches. Then the side of the picture and frame is 2x+20 inches. Writing in polynomial form, it would be (2x+22)(2x+20). You would get 4x^2+84x+440 since you are using the FOIL method. Now for part b, we know that the width of the frame(or x) is 4 inches. Now we plug that into the equation. 84x is 84x4. 84x4=336 x^2 is 16. There are four of those as you can see in the equation so 16x4=64
336+64=400 inches Frame= 400 inches
400 inches plus the picture(440 inches) = 840 square inches.
Length of the rectangular photo = 22 inches
Width of the rectangular photo = 20 inches
Since, width of the frame outside the photo = x inches
Therefore, increase in length and width of the photo with frame = (x + x)
= 2x inches
Length of the photo with frame = (22 + 2x) inches
Width of the photo with frame = (20 + 2x) inches
Combined Area of the photo in the frame = Length × Width
= (22 + 2x)(20 + 2x)
= 22(20 + 2x) + 2x(20 + 2x)
= 440 + 44x + 40x + 4x²
= 4x² + 84x + 440
Therefore, polynomial representing the combined area of the photo in the frame will be (4x² + 84x + 440) square inches.
If width of the frame = 4 inches
Combined area of the photo = 4(4)² + 84(4) + 440
= 840 square inches
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Anika was shown a reduction of a complex figure.
What can Anika conclude about the scale factor and missing measurements? Select three options.
The scale factor is 0.60.
The scale factor is 0.25.
The length of side A is 8.75 cm.
The length of side A is 21 cm.
Answer:
B, C, AND E
Step-by-step explanation:
The scale factor is, 0.25.
The length of side A is 8.75 cm.
What is a scale factor?The scale factor defines a variable in a ratio of two different measurements.
Sometimes drawings of large models are represented in a scale factor of a smaller unit.
From the given information length of the preimage is 60 cm and the corresponding image length is 15 cm.
So, The scale factor is,
= (15/60).
= 1/4.
= 0.25.
Therefore, The length of side A is,
= 35×0.25 cm.
= 8.75 cm.
The length of side B is,
= 25×0.25 cm.
= 6.25 cm.
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what power of 7 is 2041? 2041=7^6-2x
Answer:
x = 1
Step-by-step explanation:
2401 = 7⁶⁻²ˣ
7⁴ = 7⁶⁻²ˣ
4 = 6 - 2x
2x = 6 - 4
2x = 2
x = 1
Final answer:
There is no integer power of 7 that exactly equals 2041, as 7 to the power of 4 is 2401, which is the closest integer power of 7 that is higher than 2041.
Explanation:
The question asks to determine the power of 7 that equals 2041, which is written mathematically as 2041 = 7x. To solve this, one approach is to estimate and refine by trying different powers of 7 until we get close to 2041. Here's how the estimation process could work:
Start with lower powers of 7 like 72 = 49, and increase the exponent.
Notice that 73 = 343 and 74 = 2401.
Since 2401 is just above 2041, we suspect our answer will be close to 4 but slightly less.
Checking with a calculator or using a division strategy, we can confirm that 2041 is slightly below 74, making it clear there's no integer power of 7 that equals 2041.
Therefore, there isn't an integer power of 7 that precisely equals 2041.