Answer:
2.67 ounce of cashews are in the mix.
Step-by-step explanation:
Since we are dealing with a 32 ounce bag of mixed nuts and 1/12 of this bag is cashews (1/12 of the mix),
Then:
1/12 × 32 ounce = The actual quantity of cashew nuts in the mix.
= 1/12 × 32
= 32/12
= 2.67 ounce of cashews are in the bag.
Answer:
2.666ounce is contained in the bag
Step-by-step explanation:
Given that 32 ounce of bag has mixed nuts of which 1/12 of this bag contain cashews.
(1/12 of the entire mix),
Hence,
1/12 × 32 ounce
= 1/12 × 32
= 32/12
= 2.666ounce of cashews are in the bag.
Each bookshelf at a library holds 100 books. How many bookshelves are needed if the library stocks 12,400 books?
shelves
Answer:124
Step-by-step explanation:
12400/100=124
To stock 12,400 books with each bookshelf holding 100 books, 124 bookshelves are required.
To determine how many bookshelves are needed for 12,400 books, where each shelf holds 100 books, we perform a simple division:
Number of bookshelves = Total number of books ÷ Books per bookshelf
Number of bookshelves = 12,400 books ÷ 100 books per shelf
Number of bookshelves = 124 shelves
Therefore, 124 bookshelves are needed to stock 12,400 books.
select the interval where h(x)<0
A. -3.5
B. -2
C. 2.5
Answer:
-2 < x < -1
Step-by-step explanation:
On Martin's first stroke, his golf ball traveled 4/5 of the distance to the hole. On his second stroke, the ball traveled 79 meters and went into the hole. How many kilometers from the hole was Martin when he started?
Answer:
0.395 kilometre
Step-by-step explanation:
Given:
On Martin's first stroke, his golf ball traveled 4/5 of the distance to the hole.
On his second stroke, the ball traveled 79 meters and went into the hole.
Question asked:
How many kilometres from the hole was Martin when he started?
Solution:
Let distance from Martin starting point to the hole in meters = [tex]x[/tex]
On Martin's first stroke, ball traveled = [tex]\frac{4}{5} \ of \ total \ distance\ to\ the\ hole[/tex]
[tex]=\frac{4}{5} \times x=\frac{4x}{5}[/tex]
On his second stroke, the ball traveled and went to the hole = 79 meters
Total distance from starting point to the hole = Ball traveled from first stroke + Ball traveled from second stroke
[tex]x=\frac{4x}{5} +79\\ \\ Subtracting\ both\ sides\ by \ \frac{4x}{5}\\ \\ x- \frac{4x}{5}= \frac{4x}{5}- \frac{4x}{5}+79\\ \\ \frac{5x-4x}{5} =79\\ \\ By \ cross\ multiplication\\ \\ x=79\times5\\ \\ x=395\ meters[/tex]
Now, convert it into kilometre:
1000 meter = 1 km
1 meter = [tex]\frac{1}{1000}[/tex]
395 meters = [tex]\frac{1}{1000}\times395=0.395\ kilometre[/tex]
Thus, there are 0.395 kilometre distance from Martin starting point to the hole.
What can readers best infer about Blackfeet culture from
this excerpt?
O
O
O
O
how sickness was cured
what people gathered to eat
how people farmed the land
what religious beliefs people held
Answer:
b
Step-by-step explanation:
Answer:The answer is B
Step-by-step explanation:
Bert is planning to open a savings account that earns 1.6% simple interest yearly. He wants to earn exactly $160 in interest after two years. How much money should he deposit?
Answer: he should deposit $5000
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the amount of money deposited.
P represents the principal or amount of money deposited.
R represents interest rate on the deposit.
T represents the duration of the deposit in years.
From the information given,
I = $160
R = 1.6%
T = 2 years
Therefore,
160 = (P × 1.6 × 2)/100
160 = 0.032P
P = 160/0.032
P = $5000
student opened her math book and computed the sum of the numbers on two facing pages. Then she turned to the next page and computed the sum of the numbers on these two facing pages. Finally, she computed the product of the two sums, and her calculator displayed the number 69,165. What were the four page numbers?
Answer:
130, 131, 132, 133
Step-by-step explanation:
Let the first page numbe be x, the next x+1, x+2, x+3
The sum of the first two will be x+x+1=2x+1
The sum of the last two will be x+2+x+3=2x+5
Product will be (2x+1)(2x+5)
Since the product equals 69165
(2x+1)(2x+5)=69165
[tex]4x^{2}+10x+2x+5=69165\\4x^{2}+12x+5=69165\\4x^{2}+12x-69160=0\\x^{2}+3x17290\\(x-130)((x+130)=0\\x=130, -133[/tex]
Therefore, x=130
Next pages are 131, 132, 133
a salesman makes $35,000 per year plus $400 for each large appliance he sells. write and solve an equation to determine how many large appliances he sold if he made $57,400 this year.
Answer:
The salesman sold 56 large appliances.
Step-by-step explanation:
$57,400 - $35,000 = $22,400
He made $22,400 off the appliances.
To find how many appliances, you can divide 22,400 by 400.
The equation should be ($57,400 - $35,000)/400 = x
Here x represents the amount of large appliances sold. If you run the equation, the answer you should get is 56.
The salesperson vended 56 large appliances this time. The equation used to break this problem is
35,000$ 400x = $ 57,400, with' x' representing the number of appliances vended.
To determine how numerous large appliances the salesman vended, we can set up an equation grounded on the given information. Let's denote the number of large appliances he vended as x. The total earnings from these deals would be$ 400 times x. His periodic payment is$ 35,000, so the total quantum he made in the time, including his payment and the earnings from deals, is$ 57,400. thus, the equation to represent this situation is
$ 35,000$ 400x = $ 57,400
To break for x, we abate$ 35,000 from both sides
$ 400x = $ 57,400-$ 35,000
$ 400x = $ 22,400
Now, we divide both sides by$ 400 to find the number of appliances
x = $ 22,400/$ 400
x = 56
The salesperson vended 56 large appliances.
Check Plagiarism Check Grammar
Which fraction is closest to 1 1/2?
Answer:
7/13
Step-by-step explanation:
To determine which answer choice is closest to 1/2, we can subtract 1/2 from each answer choice. The difference that is closest to zero will indicate the fraction that is closest to 1/2. Since 1/26 is closest to zero, 7/13 is closest to 1/2.
Answer:
4/2
THATS ITTT
Mr. Tesoro drew this quadrilateral with two equal sides that meet at a right angle and a pair of equal opposite angles that are not right angles. What type of quadrilateral did he draw?
Answer:
The answer is kite.
Step-by-step explanation:
Well, just looking at the definition of a kite, we can see that it lines up with Mr. Tesoro's description and drawing of the quadrilateral. A kite has one right angle that meets up witht two equal lines. The opposite pair of lines, that are much longer, don't meet up to be a right angle. The definitions line up, so there's your match; the anser is kite.
You want to construct an enclosed rectangular region using the side of a building as part of one side of the enclosed region. The building is 56 feet wide. You have 544 feet of fencing to use. Find the area of the largest region that you can enclose using these requirements
Answer:
13664 square feet
Step-by-step explanation:
Width of the Building=56 feet
Let the length of the building=L
Area of the building = LW=56L
A=56L
Available Perimeter for Fencing= 544 feet
Since we are using the side of the building as one part,
Perimeter = 2L+56=544
2L=544-56=488
L=244 feet
The area of the largest region that can be enclosed using theses requirements is given as:
Area = 244 X 56 =13664 square feet
To find the area of the largest region that can be enclosed with 544 feet of fencing alongside a 56-foot wide building, one sets up an equation for the fencing and solves for the width of the enclosure. The widest possible enclosure has a width of 244 feet, leading to a maximum area of 13,664 square feet.
To find the area of the largest rectangular region that can be constructed using the side of a building and a given amount of fencing, one must use the perimeter formula for a rectangle. Let's designate the widths of the rectangle that are not attached to the building as x, and the length that is attached to the building as 56 feet. Since two of the widths and one length will be enclosed by the fence, the total fencing used will be 2x + 56 feet.
Given that there are 544 feet of fencing available, we can set up the following equation:
2x + 56 = 544
Solving for x gives the width of the two sides not attached to the building:
2x = 488
x = 244 feet
The largest enclosed area will then be obtained by multiplying the length (alongside the building) by the width (the calculated x):
Area = 56 feet × 244 feet = 13664 square feet.
This calculation provides the largest possible rectangular area that can be enclosed with the given fencing, using the building as one side of the enclosure.
a data set includes the following test scores:75,82,62,78.The score on a retake is 96.it the retake score replaces the lowest test grade, how is the mean affected
Answer:
Increase by 8.75
Step-by-step explanation:
75+82+67+72=296
296/4= 74
74 = Original Mean
75+82+96+78=331
New mean 82.75
82.75-74=8.75
Answer:
The mean increased by 6.8
Step-by-step explanation:
I do not understand probability no matter how many ways are taught to me I still don’t understand I need a simpler or easier way to understand to find probability
Answer:
Step-by-step explanation:
Probability is basically the chance of something happening.
For example:
If you flip a coin there is a 1/2 chance to get heads and a 1/2 chance to get tails. If you were asked to find the probability of getting 3 tails in a row, you would multiply the fraction 1/2 3 times. Thus giving you 1/8.
Final answer:
Probability is the chance of an event occurring, calculated by dividing the number of ways an event can occur by the total number of possible outcomes. Karl Pearson's coin toss experiment demonstrates the law of large numbers, where the outcome over many trials approaches theoretical probability. To solve probability problems, understanding the question and systematically applying probability rules is essential.
Explanation:
Probability is a concept in mathematics that measures the likelihood of an event happening. It is calculated by dividing the number of ways an event can occur by the total number of possible outcomes. For example, when flipping a coin, there are two possible outcomes: heads or tails. Since these outcomes are equally likely, the probability of getting heads is 1 divided by 2, or 50%. This is known as theoretical probability.
Karl Pearson's experiment, where he flipped a coin 24,000 times, illustrates the law of large numbers, showing that the more times a random event is repeated, the closer the experimental results will come to the expected theoretical probability. In Pearson's case, he got heads 12,012 times, which is very close to the expected 50%, demonstrating that the probability predicts the outcome over a large number of trials, even though individual results may vary.
The relative frequency of an event is calculated by dividing the number of times the event occurs by the total number of trials. The example of Pearson's coin toss shows that the relative frequency (.5005) closely aligns with the theoretical probability (.5) when a large number of trials are conducted.
Systematic approaches to solving probability problems often involve reading the problem carefully, understanding the terminology, and using a clear process to calculate the probability. This could include determining the sample space, identifying the desired event, and calculating conditional probabilities if necessary.
To carry out probability calculations, it is essential to be able to express both the certainty and the variability of outcomes. In the case of rolling a die, while we may not predict with certainty which number will appear on any single roll, over a large number of rolls, the probability of rolling any given number, such as a three, is 1/6.
One package of blueberries costs $3.
How many packages of blueberries can
you buy with $12?
Answer:
4
Step-by-step explanation:
Because 3×4=12
Answer:
4
Step-by-step explanation:
Simply divide 12 dollars into 3 dollars and you should get 4 :D
Which function has a constant rate of change -1/4?
A television network, Network A, is scheduling its fall lineup of shows. For the Tuesday night 8 p.m. slot, Network A has selected its top show. If its rival network, Network B, schedules its top show during the same time slot, Network A estimates that it will get 1.1 million viewers. However, if Network B schedules a different show during that time slot, Network A estimates that it will get 1.6 million viewers. Network A believes that the probability that Network B will air their top show is 0.4 and the probability that Network B will air another show is 0.6.
Determine the expected number of viewers (in millions) for Network A's top show.
Network A expects that how many million people will watch their show (type an integer or decimal).
Answer:
The number of viewers Network A expects will watch their show is 1.4 million viewers.
Step-by-step explanation:
The expected value is calculated by multiplying the possible outcomes by the probability of their occurrence and adding the results
Therefore, we have the expected value given by the following expression;
Estimated network A viewers where network B schedule top show = 1.1 million viewers
Estimated network A viewers where network B schedule a different show = 1.6 million viewers
Probability that Network B will air its top show = 0.4
Probability that Network B will air another show = 0.6
We therefore have;
Expected value, E of Network A viewers is therefore;
E = 1.1 × 0.4 + 1.6 × 0.6 = 0.44 + 0.96 = 1.4 million viewers.
Network A expects 1.4 million viewers will watch their show.
A local boys club sold 196 bags of mulch and made a total of $549. It sold two types of mulch: hardwood for $3.00 a bag and pine bark for $2.75 a bag. How many bags of each kind of mulch did it sell?
Solve the equation: 3(x - 4) = -21 *
Answer:
x = -3
Step-by-step explanation:
simplify
3(x - 4) = -21
3x - 12 = -21
3x = = -9
x = -3
If a = 4, Evaluate 35 - 3a
Answer:
23
Step-by-step explanation:
3 times 4 equals 12
then do
35 minus 12
Answer:
a=4
35-3a=
35-3(4)=
35- 12=23
Step-by-step explanation:
What’s is 2+2 I really need help
Answer:
4
Step-by-step explanation:
Purse A which contains $1,000 today. If you leave it alone, it will contain $1,200 tomorrow (by magic). The next day, it will have $1,400. This pattern of $200 additional dollars per day will continue. Purse B which contains 1 penny today. Leave that penny in there, because tomorrow it will (magically) turn into 2 pennies. The next day, there will be 4 pennies. The amount in the purse will continue to double each day. How much money will be in each purse after a week? After two weeks? The genie later added that he will let the money in each purse grow for three weeks. How much money will be in each purse then? Which purse contains more money after 30 days?
Answer:
Purse A will contain 2400 (by magic) and Purse B will have 64 pennies
Step-by-step explanation:
how this happened is, by magic Purse A went up by 200 every day for 7 days a week. 7*200 would be 1400 so you add that to the money from today and get 2400. Purse B somehow got from 1 penny to 64 in 7 days. The rule on this is to multiply by 2 every day. 1,2,4,8,16,32 and 64. have fun with your magic :3
In a deck of cards, what's the probability of selecting a Red Card and then selecting a Face Card, WITH replacement?
Question 3 options:
A. 3/26
B. 5/26
C. 1/2
D. 1/5
Have have a garden that is 9 feet by 12 feet and you want to buy a pathway around the garden that is x feet, write an expression for the area of the pathway
Answer:
An expression for the area of the pathway is [tex]4x^2+42x[/tex]
Step-by-step explanation:
Length of garden = 9 feet
Breadth of garden = 12 feet
Area of garden = [tex]Length \times Breadth = 9 \times 12 =108 ft^2[/tex]
We are given that you want to buy a pathway around the garden that is x feet
Width of pathway = x feet
Outer length = 9+x+x=9+2x
Outer breadth = 12+x+x=12+2x
Area of path including garden =[tex]Length \times Breadth = (9+2x)(12+2x)[/tex]
Area of path = Area of path including garden - Area of garden
Area of path =[tex](9+2x)(12+2x)-108[/tex]
Area of path =[tex]108+18x+24x+4x^2-108[/tex]
Area of path =[tex]4x^2+42x[/tex]
Hence an expression for the area of the pathway is [tex]4x^2+42x[/tex]
Mansah earns a salary of GH¢ 10,000.00 per month, as a sales girl. In addition to the salary , she is given a commission of 15 percent of what ever sales that she makes in a month. In January this year, she made sales of GH¢ 1,500,00.00. What was the total Mansah earned at the end of January?
Answer:
66,000
Step-by-step explanation:
Answer:
GH¢32,500
Step-by-step explanation:
Monthly salary of Mensah=GH¢10,000.00
Commission=15%
15/100×GH¢ 1,500,00.00=GH¢22,500
Total amount earned=
Monthly salary+ Commission
GH¢10,000+GH¢22,500=GH¢32,500
Answer:
GH¢32,500
Step-by-step explanation:
Monthly salary of Mensah=GH¢10,000.00
Commission=15%
15/100×GH¢ 1,500,00.00=GH¢22,500
Total amount earned=
Monthly salary+ Commission
GH¢10,000+GH¢22,500=GH¢32,500
A forest ranger looking out from a ranger station can see a forest fire at a 35° angle of depression the Rangers position is 100 feet above the ground how far is the ranger station to the fire
To find the distance between the ranger station and the fire, we can use trigonometry and the angle of depression.
Explanation:To solve this problem, we can use trigonometry. Let's call the distance from the ranger station to the fire 'x'.
Using the angle of depression of 35°, we can set up the trigonometric equation:
tan(35°) = (height of the ranger station) / x
Plugging in the known values, we get:
tan(35°) = 100 / x
To find 'x', we can rearrange the equation:
x = 100 / tan(35°)
Using a calculator, we can find:
x ≈ 100 / 0.7002
x ≈ 142.811 feet
Therefore, the ranger station is approximately 142.811 feet away from the fire.
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Final Answer:
The ranger station is approximately 142.8 feet away from the fire horizontally.
Explanation:
To find how far the ranger station is from the fire, we can use trigonometry. The ranger is 100 feet above ground, and the angle of depression from the station to the fire is 35 degrees.
Here's how you solve the problem step by step:
1. Imagine a right triangle where the ranger station is at the top, the fire is at the right angle (on the ground), and the line of sight from the ranger makes the hypotenuse.
2. The angle of depression is measured from the horizontal down to the line of sight. However, because alternate interior angles formed by a transversal with two parallel lines are congruent, the angle of depression from the ranger's horizontal line of sight to the fire is equal to the angle of elevation from the ground up to the ranger's line of sight. Therefore, the angle at the bottom of the triangle (the fire's location) is also 35 degrees.
3. We are dealing with the opposite side (the height of the station, 100 feet) and the adjacent side (the distance from the base of the station to the fire, which we want to find). For such problems, we use the tangent function, which relates the opposite to the adjacent side in a right triangle:
[tex]\(\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}\)[/tex]
4. Plug in the known values:
[tex]\(\tan(35^\circ) = \frac{100 \text{ feet}}{\text{distance to fire}}\)[/tex]
5. We want to solve for the distance to the fire, so we rearrange the equation:
[tex]\(\text{distance to fire} = \frac{100 \text{ feet}}{\tan(35^\circ)}\)[/tex]
6. To find the distance to the fire, calculate [tex]\(\frac{100 \text{ feet}}{\tan(35^\circ)}\)[/tex]. You need to ensure you're working in degrees if using a calculator.
Let's do the math using an approximation for [tex]\(\tan(35^\circ)\)[/tex] (which is roughly 0.7002):
[tex]\(\text{distance to fire} = \frac{100 \text{ feet}}{0.7002}\\\\ \(\text{distance to fire} = 142.8 \text{ feet}\)[/tex]
Hence, the ranger station is approximately 142.8 feet away from the fire horizontally.
The average number of hours of sleep per night was 9.46 hours for a sample of 104 five to seven year-old children. The number 9.46 is a __________, because it is a number that can be computed from the sample of 104 children.
Answer:
Statistic
Step-by-step explanation:
-In statistics, a statistic is a characteristic or an attribute of a sample used to estimate or calculate the true values/characteristics of an entire population.
-The value 9.6 is only representative of the small sample size of 104 children.
-If the sample size is sufficient enough it can be used to calculate the population's mean, standard deviation and other Central Limit Theorem measures.
The number 9.46 is referred to as a statistic in this context. A statistic is a characteristic that can be computed from the data in a sample, like the average sleep time of 104 children in this case.
Explanation:The average number of hours of sleep per night was 9.46 hours for a sample of 104 five to seven year-old children. In this context, the number 9.46 is referred to as a statistic.
A statistic is a characteristic that can be computed from the data in a sample. For example, in this case, the data was collected from a group (or sample) of 104 children, and the average hours of sleep they got per night was calculated. The resultant number, 9.46 hours, serves as an estimation of the parameter we are interested in: the average sleep time of all 5 to 7 year-olds.
The term is frequently used in
statistics
, a branch of math that refers to the collection, analysis, interpretation, presentation, and organization of data.
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what is the value of x for the equation x+2/4 + 1/3 = 2x-1/6
Answer:
1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x+24+13=2x−16
x+ 1 2 + 1 3 =2x+ −1 6
(x)+( 1 2 + 1 3 )=2x+ −1 6 (Combine Like Terms)
x+ 5 6 =2x+ −1 6
x+ 5 6 =2x+ −1 6
Step 2: Subtract 2x from both sides.
x+ 5 6 −2x=2x+ −1 6 −2x
−x+ 5 6 = −1 6
Step 3: Subtract 5/6 from both sides.
−x+ 5 6 − 5 6 = −1 6 − 5 6
−x=−1
Step 4: Divide both sides by -1.
−x −1 = −1 −1
x=1
Answer:
The answer to your question is x = 1
Step-by-step explanation:
Data
Equation x + 2/4 + 1/3 = 2x - 1/6
-Subtract 2x in both sides x + 2/4 + 1/3 -2x = 2x - 2x -1/6
-Simplify - x + 2/4 + 1/3 = -1/6
-Subtract 2/4 and 1/3 in both sides -x + 2/4 - 2/4 + 1/3 - 1/3 = -1/6 - 2/4 - 1/3
-Simplify -x = -1/6 - 2/4 - 1/3
-x = (-2 - 6 - 4)/12
-x = -12/12
-x = -1
-Result x = 1
Circle V is shown. Line segments Y V and W V are radii. Tangents Y X and W X intersect at point X outside of the circle. The length of V Y is 5. Angle V is a right angle. What is the measure of circumscribed ∠X? A 45 B 50 C 90 D95
Answer:
The correct option is;
C 90°
Step-by-step explanation:
Here we have;
Angle V = 90°
Whereby, YX and WX are tangents, and YV and WV are radii then ;
Angle Y = 90° and
Angle W = 90°
Therefore we have sum of angles V, Y, W and X given by the following relation;
V + Y + W + X = 360° (Sum of interior angles of a polygon angle)
Therefore;
90° + 90° + 90° + X = 360°
270° + X = 360
X = 360° - 270° = 90°
Hence the correct option is X = 90°.
Answer:
Correct answer is C
Jess made 3 different stacks of wooden blocks The first stack was 7 blocks high the second stack was 3 blocks higher than the first and the the final stack was 7 blocks higher than the second In the total how many blocks did Jess use for all 3 stacks
Answer:
Jess used 34 blocks
Step-by-step explanation:
the first stack =7
second stack =7+3=10
third stack =10+7=17
total: 7+10+17=34
URGENT HELP!! You can work no more than 60 hours each week at your two jobs. Dog walking pays $7 per hour and your sales job at Computers & More, Inc. pays $12 per hour. You need to earn at least $450 each week to pay your bills. Your friend solves the system of inequalities x + y < 60 and 7x + 12y > 450 and tells you that a possible solution is (-3, 50). Is this a possible solution, why or why not?
Answer:
Is not a possible solution
Because the number of hours can not be negative
Step-by-step explanation:
Let
x------> the number of hours in the dog walking job
y-----> the number of hours in the sales job
we know that
-----> inequality A
------> inequality B
Remember that
If a ordered pair is a solution of the system of inequalities
then
the ordered pair must satisfy both inequalities
we have
------> Is not a possible solution
Because the number of hours can not be negative
Final answer:
Yes, (-3, 50) is a possible solution
Explanation:
The given system of inequalities is:
x + y < 60
7x + 12y > 450
To check if the solution (-3, 50) is possible, we substitute the values of x and y into the inequalities and check if the inequalities are true.
For the first inequality: (-3) + 50 < 60
47 < 60. This inequality is true.
For the second inequality: 7(-3) + 12(50) > 450
-21 + 600 > 450
579 > 450. This inequality is also true.
Since both inequalities are true when x = -3 and y = 50, we can conclude that (-3, 50) is a possible solution.
Karinas science test scores for this quarter are 84,86,90 and 68. What score does she need on her fifth science test to get a test average of at least 84
Answer:
Karina must score atleast 92 on the fifth test to get a average of atleast 84.
Step-by-step explanation:
We are given the following in the question:
84, 86, 90, 68
We want the average score to be atleast 84.
Let x be the score on fifth test.
Formula:
[tex]Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}[/tex]
Thus, we can write the equation:
[tex]\dfrac{84+86+90+68+x}{5}\geq 84\\\\\Rightarrow 84+86+90+68+x \geq 420\\\Rightarrow 328+x \geq 420\\\Rightarrow x \geq 92[/tex]
Thus, Karina must score atleast 92 on the fifth test to get a average of atleast 84.