Amount of outstanding checks is $218
Given,
Bank balance = $683
Check book register balance = $462
Interest earned = $11
Service charge = $8
Now,
Form the linear equation,
Bank balance = Check book register balance + Interest earned + Amount of outstanding check - Service charge
Substitute the data given in the question,
$683 = $462 + $11 + Amount of outstanding check - $8
Amount of outstanding check = $218
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O. A water jug is filled with 128 fluid ounces. Anna
pours out 3 pints of liquid from the jug. How
many pints remain?
A. 5 pints
B. 6 pints
C. 8 pints
D.
11 pints
Answer:11
Step-by-step explanation:
A circular flower bed is 20 m in diameter and has a circular sidewalk around it that is 2m wide. Find the area of the sidewalk in square meters. Use 3.14 for
According to the solving the area of the sidewalk is 138.16 square meters.
What is an area?Size of a location on a surface is expressed in terms of area. As opposed to surface area, which refers to the area of an open surface or the border of a three-dimensional object, plane region or plane size refers to the area of a shape or planar lamina.
According to the given information:The width of the circular sidewalk is 2 m, which means that the radius of the entire area, including the flower bed and the sidewalk, is 10 m + 2 m = 12 m.
To find the area of the sidewalk, we need to subtract the area of the flower bed from the area of the larger circle.
Area of larger circle = πr²
= 3.14 x 12²
= 452.16 square meters (rounded to two decimal places)
Area of flower bed = πr²
= 3.14 x 10²
= 314 square meters
Area of the sidewalk = Area of larger circle - Area of flower bed
= 452.16 - 314
= 138.16 square meters (rounded to two decimal places)
Therefore, the area of the sidewalk is 138.16 square meters.
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54 - x = 31. What does x Equal
Answer:
23
Step-by-step explanation:
31+23=54
\(54-x=31\)
Simplify:
\(-x+54=31\)
Subtract 54 from both sides:
\(-x+54-54=31-54\)
\(-x=-23\)
Divide both sides by -1:
\(\dfrac{-x}{-1} =\dfrac{-23}{-1}\)
\(=\fbox{x = 23}\)
Mitchell stood at the entrance of his school and polled 35 students as they were entering the
building regarding their favorite food. If 16 of the students indicated they would choose pizza, what
percent of the students he polled chose pizza? (Round to nearest tenth)
A cake recipe calls for the following dry ingredients: 3 ½ cups of flour, 2 ⅔ cups of sugar, and 1 ¾ cups of cocoa. To the nearest cup, how much dry ingredients will be used?
The amount of dry ingredients used in the cake recipe is approximately 7 cups.
To find the total amount of dry ingredients used in the cake recipe, we need to add up the amounts of flour, sugar, and cocoa.
3 ½ cups of flour is equal to 3 cups plus 0.5 cups, or 3 cups and 8 ounces.
2 ⅔ cups of sugar is equal to 2 cups plus 0.67 cups, or 2 cups and 10.72 ounces.
1 ¾ cups of cocoa is equal to 1 cup plus 0.75 cups, or 1 cup and 12 ounces.
Adding these amounts together, we get:
3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces
To the nearest cup, this is equal to 7 cups.
Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.
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Express 75 as a product of its prime factors write the prime factors in ascending order and give your answer in index form
Step-by-step explanation:
75 = 3 x 5 x 5 in prime factorization
Answer:
Step-by-step explanation:
3x5x5
Investments Compute the specified quantity.
A corporate bond paying $5,000 after 18 weeks earns 0.06% simple interest per week. How much did it cost to buy? (Round your answer tu
the nearest cent.)
Answer:5,000.54
Step-by-step explanation:
0.06% of 5,000 is 0.3 and 0.3x18 equals 0.54 and 5,000+0.54=5,000.54
Hi I will give brilliancy if u awnser this
PLEASE HELP. BE MINDFUL THAT THERE ARE 4 QUESTIONS.
Anthony has a lunch account in the school cafeteria. The balance, g(x), in his account at the beginning of the month can be represented by the function g(x) = -2.50x +32, where x is the number of meals purchased. 1. How much money was in Anthony's account at the beginning of the month? 2. What is the slope of the graph of this function? 3. What does the slope represent in the context of the problem? 4. Find g(x) when x =11. What does this pair of values mean in the context of the problem?
The mean life of a new smart LED bulb is 20,000 running hours with a standard deviation is 2,250 hours. The data is normally distributed. If a home improvement store sold 18,000 of these light bulbs in the first year of production, how many light bulbs would you expect to last longer than 22,250 hours?
Answer: The expected number of bulbs that would last longer than 22,250 hours is approximately 2,857.
Step-by-step explanation:
To solve this problem, we can start by finding the z-score for 22,250 using the formula:z = (x - mean) / standard deviationz = (22,250 - 20,000) / 2,250 = 1Next, we need to find the proportion of bulbs lasting longer than 22,250. We can look up this proportion in a standard normal distribution table or use a calculator, which gives us a probability of 0.1587.Finally, we can use this probability to find the expected number of bulbs that will last longer than 22,250:Expected number of bulbs = probability * total number of bulbs sold Expected number of bulbs = 0.1587 * 18,000 = 2,857Therefore, we can expect that approximately 2,857 of the 18,000 bulbs sold will last longer than 22,250 running hours.
Answer:
the afternoon is the right one
Find the value that makes each equation true.
A. 110%n=11 n=
B.
(328 x 128) x k = 328 x (82 x 128)
K=
Answer:
A. \(n=100\)
B. \(k=0\)
Step-by-step explanation:
A. The equation "110% n = 11" can be solved as follows:
110% n = 11
To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).
(110% n) / 110% = 11 / 110%
n = 11 / 0.110
n = 100
So, the solution for n in the equation "110% n = 11" is n = 100.
B. The given equation is:
(328 x 128) x k = 328 x (82 x 128) x k
To solve for k, we can simplify the equation using the properties of multiplication.
Step 1: Perform the multiplications inside the parentheses:
41984 x k = 328 x 10576 x k
Step 2: Rearrange the equation by applying the associative property of multiplication:
41984 x k = 328 x (10576 x k)
Step 3: Divide both sides of the equation by 328:
(41984 x k) / 328 = 10576 x k
Step 4: Cancel out the common factor of k on the left-hand side:
(41984 / 328) x k = 10576 x k
Step 5: Simplify the left-hand side:
128 x k = 10576 x k
Step 6: Subtract 10576 x k from both sides of the equation to isolate k:
128 x k - 10576 x k = 0
Step 7: Factor out k on the left-hand side:
k x (128 - 10576) = 0
Step 8: Simplify further:
k x (-10448) = 0
Step 9: Divide both sides of the equation by (-10448):
k = 0
So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.
please help me im stuck
Answer:
A. by adding an identical classroom and allowing students t use electric ans in it
Step-by-step explanation:
Because Fans are opposite to natural Air
Five friends are going to share 1/2 of a pizza. How much of a whole pizza will each friend eat?
Which equation can be used to solve the problem above?
Answer:
I'm pretty sure its 1/5
Step-by-step explanation:
because 5 friend's and half of a whole pizza
The histogram shows the number of cell phone calls received by Medera, a middle school student, one Saturday from 10 am to 10pm Nertarell 40 C Cell Phone Calls Which statement most reasonably explains the hours when zero calls were received? 152 153pm AS3pm 558m 293m 39SI Medera turned the phone off while playing in a soccer game. Medera only receives Ocalls in clusters. B 0 DO Medera's phone can only receive 22 calls a Medera lost her phone for two hours.
The most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.
What is number?Number is an abstract concept used to count or measure something. It is present in many aspects of our lives, from counting the number of people in a room to measuring a distance between two points. Numbers are also used to represent information and to quantify facts. We use numbers in mathematics, science, engineering, business, and many other fields. Numbers are also used in everyday life, such as for telling time, counting items, and measuring distances.
The most reasonable explanation for why Medera received zero calls between the hours of 3pm and 5pm is that Medera turned the phone off while playing in a soccer game. This can be seen by looking at the histogram, which shows that there were zero calls received around this time, while Medera was likely playing in the game. The graph also shows that Medera usually receives a cluster of calls at certain times. This is also evidence that she turned her phone off while playing in the game, as it would be unlikely that she would receive no calls if her phone was still on. Additionally, it is unlikely that Medera's phone can only receive 22 calls a day, as this would be an unusually low limit. Furthermore, it is unlikely that Medera lost her phone for two hours, as this would not explain why there were zero calls received. Therefore, the most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.
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The hours when no calls were received were most likely when Madera turned off the phone while practising soccer.
How many calls did Medera receive?According to the question,
Madera, a middle school student, got phone calls from 10 a.m. to 10 p.m. on one Saturday.
From the scenarios presented, the one that would suggest this would be when Medera turned off his phone while playing soccer. This is because, her phone was turned off, it was not receiving any phone signal, which meant that no inbound calls were received during that time. Medara lost her phone for two hours, but even though she didn't have it with her, the phone was still on and connected to a network, indicating that calls were still streaming.
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Help me please. It means a lot
Answer: Jonny makes $15 per hour working at Target. He gets a bonus at the end of the month for $85. This month, he made a total of $685. Write an equation to show how many hours he worked
Step-by-step explanation:
1 is 51
2 is 34
3 is 95
5 is 47
6 is 74
7 is 59
Ok that should be right if I didn't mix anything up!
please help, i did 90 - 10 and I got 80. I’m stuck at 80
Answer:
approx 216
Step-by-step explanation:
well we go to the 10mm mark and we add the columns taht appear before that. Those are two columns : the brown/orangey one and the green one.
if the scale goes up in twenty and each jump has four squares then we can say that one square is equal to 5 up
so we now can read the first two columns
the first one reads 135
the second one reads approximately 81
we add those up and that becomes 216
so the answer is approximately 216
ILL GIVE YOU BRAINLEST IF RIGHT!!
Answer:
6
Step-by-step explanation:
What is the slope of 2,000=20×+10y?
Answer:
there is no possible slope for this equation. if it asks for a number it is 0
Step-by-step explanation:
When two variables are not correlated at all, the correlation coefficient would be _______. a. -1 b. 0 c. 1 d. -2 e. 0.5
Answer:
B. 0
Pls choose me as brainliest!
Is 2x - 3 = -7 x + 2 > y a true or false statement?
Assume that the mean length of a human pregnancy is 269 days. If 95% of all human pregnancies last between 249 and 289 days, what is the standard deviation of the distribution of lengths of human pregnancies? What percent of human pregnancies are expected to last at least 287 days?
Answer:93% not sure
Step-by-step explanation:
(ECONOMICS- sorry there’s no button for it )
What motivates producers and consumers in the black market
The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.
The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:
High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.
Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.
Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.
Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.
Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.
However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.
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e of Scores, a publication of the Educational Testing Service, the scores on the verbal portion of the GRE have mean 150 points and standard deviation 8.75 points. Assuming that these scores are (approximately) normally distributed, a. obtain and interpret the quartiles. b. find and interpret the 99th percentile.
Answer:
a) Q1= 144.10
Median = 150
Q3=155.90
b) The 99 percentile would be:\(a=150 +2.33*8.75=170.39\)
And represent a value who accumulate 99% of the values below
Step-by-step explanation:
Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:
\(X \sim N(150,8.75)\)
Where \(\mu=150\) and \(\sigma=8.75\)
Part a
Lets begin with the first quartile:
\(P(X>a)=0.75\) (a)
\(P(X<a)=0.25\) (b)
We can find the quantile in the normal standard distribution and we got z=-0.674.
And we can apply the z score formula and we got:
\(z=-0.674<\frac{a-150}{8.75}\)
And if we solve for a we got
\(a=150 -0.674*8.75=144.10\)
The median for this case is the mean \(Median =150\)
For the third quartile we find the quantile who accumulate 0.75 of the area below and we got z=0.674 and we got:
\(a=150 +0.674*8.75=155.90\)
Part b
We can find the quantile in the normal standard distribution who accumulate 0.99 of the area below and we got z=2.33.
And we can apply the z score formula and we got:
\(z=2.33<\frac{a-150}{8.75}\)
And if we solve for a we got
\(a=150 +2.33*8.75=170.39\)
And represent a value who accumulate 99% of the values below
NASA estimates that the probability that a certain component in a communication satellite fails is .005. There is an independent backup system, and the probability that it fails is .01. What is the probability that both systems fail
Answer: \(0.00005\)
Step-by-step explanation:
Given
The probability that a certain component in a communication satellite fails is 0.005.
There is an independent backup system, and the probability that is fails is 0.01
The probability that both the system fails is given by
\(\Rightarrow P=0.005\times 0.01\\\Rightarrow P=0.00005\)
A bird park has black and white birds in the ratio of 8 to 2 as shown below:
8 black birds and 2 white birds are shown
Which is another ratio that can describe the black to white birds?
4 to 1
1 to 4
1 to 7
7 to 1
Answ3r:
A.) 4 to 1
Step-by-step explanation:
yup!
Answer:
4 to 1
Step-by-step explanation:
Make A the subject..............................................
Answer:
Proofs attached to answer
Step-by-step explanation:
Proofs attached to answer
2 Mabaso has R140, Thabo has R70 and Ally has R35. What is the ratio of the amount of money Mabaso has, to the amount of money Thabo has and to the amount of money Ally has? Write the ratios in simplest form. The price of a steel table is R750. On Black Friday the table could be bought for R600. Calculate the percentage discount? Show ALL your calculations. Convert 125 g to kilograms. (1 kg = 1 000 grams) A green grocer packs 12 apples in a plastic bag. Calculate the number of bags he w need if he has 285 apples. The scale of a map is 1 500 000. Determine the actual distance in km if measurement on the map is 23,7 cm. Hint: 1 km = 100 000 cm
The actual distance represented by 23.7 cm on the map is 355.5 km.
To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.
Mabaso has R140, Thabo has R70, and Ally has R35.
The ratio of Mabaso's money to Thabo's money is:
R140 ÷ R35 = 4
The ratio of Mabaso's money to Ally's money is:
R140 ÷ R35 = 4
Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.
To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.
Original price: R750
Discounted price: R600
Discount: R750 - R600 = R150
Percentage discount: (R150 ÷ R750) × 100 = 20%
So, the table has a 20% discount on Black Friday.
To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).
125 g ÷ 1,000 = 0.125 kg
Therefore, 125 grams is equal to 0.125 kilograms.
If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.
Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags
Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.
If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.
1 cm on the map represents 1,500,000 cm in reality.
23.7 cm on the map represents x cm in reality.
x = 23.7 cm × 1,500,000 cm = 35,550,000 cm
To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).
35,550,000 cm ÷ 100,000 = 355.5 km
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Complete the steps to solve this linear equation: 2x + 9(x – 1) = 8(2x + 2) – 5 1.Apply the distributive property: 2x + 9x– 9 = 16x + 16 – 5 2.Combine like terms on each side: 11x – 9 = 16x + 11 3.Use the subtraction property of equality to isolate the variable term: –9 = 5x + 11 Use the subtraction property of equality to isolate the constant: –20 = 5x 4. Use the division property of equality to solve: = x
Answer:
it should be -4=x.
Answer: -4
Step-by-step explanation:
Geometry: what is the coordinate of V’ if quadrilateral U’V’W’X’ is created by dilating UVWX with a scale factor of 1.5 about the origin. Help me solve
The Solution:
Given the image in the Question section, we have that the original coordinate of V is:
\(V(-1,2)\)We are asked to find the coordinates of V', which is created by dilating the coordinates of the original V with a factor of 1.5
To find the coordinate of the dilated V, we shall multiply the x-value and the y-value by 1.5
\(\begin{gathered} V^{\prime}(x,y)=V\lbrack(1.5\times-1),(1.5\times2)\rbrack=V^{\prime}(-1.5,3) \\ \text{ So,} \\ \text{ The required coordinates is: (-1.5,3)} \end{gathered}\)Therefore, the correct answer is (-1.5,3)
Elijah has red and yellow napkins. He must set out napkins for 4 people. What are different ways to make groups of 4?
The different ways to make groups of 4 based on the napkins given is 6 ways.
What is combination?Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects. Thus can be illustrated by nCr
Combination formula
nCr = n! / ((n – r)! r!)
n = the number of items.
r = how many items are taken at a time
In this case, Elijah has red and yellow napkins. He must set out napkins for 4 people. This will be:
= n! / ((n – r)! r!)
= 4! / (4 - 2)! 2!
= 4! / 2!2!
= 4 × 3/2
= 6
Therefore, there are 6 ways.
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