Answer:
g = number of tickets for goldfish
t = number of tickets for tacky mirrors
s = number of tickets for stuffed tiger
1g + 2t + 1s = 40
5g + + 1s = 40
2g + 3t = 40
using the second equatin we can find a value for s
1s = 40 -5g
now substitute in the first equation to get rid of s
1g + 2t + (40-5g) = 40
-4g + 2t = 0
now use this new equation with equation 3 and solve for one of the values
-4g + 2t = 0
2g + 3t = 40
multipy the second equation by 2 and then combine
-4g + 2t = 0
4g + 6t = 80
8t = 80
t = 10 (so it takes 10 tickets to get a takcy mirror)
2g + 3(10) = 40
2g = 10
g = 5 (five tickets to get a goldfish)
s = 40 -5(5)
s = 15 (fifteen tickets for a stuffed tiger)
1(5) + 2(10) + 1(15) (substitute back in the first equation)
5 + 20 + 15
40 it works!
Morganton Company makes one product and it provided the following information to help prepare the master budget:
The budgeted selling price per unit is $60. Budgeted unit sales for June, July, August, and September are 8,600, 17,000, 19,000, and 20,000 units, respectively. All sales are on credit.
Thirty percent of credit sales are collected in the month of the sale and 70% in the following month.
The ending finished goods inventory equals 25% of the following month’s unit sales.
The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Each unit of finished goods requires 5 pounds of raw materials. The raw materials cost $2.40 per pound.
Thirty five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.
The direct labor wage rate is $14 per hour. Each unit of finished goods requires two direct labor-hours.
The variable selling and administrative expense per unit sold is $1.80. The fixed selling and administrative expense per month is $67,000.
5. If 96,250 pounds of raw materials are needed to meet production in August, how many pounds of raw materials should be purchased in July?
Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July
X pounds - 0.35 * X pounds = 9,500 pounds
Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.
To determine the number of pounds of raw materials that should be purchased in July, we need to calculate the raw materials production needs for August and then consider the inventory policies given in the information provided.
Each unit of finished goods requires 5 pounds of raw materials. The budgeted unit sales for August are 19,000 units. Therefore, the raw materials production needs for August would be 19,000 units multiplied by 5 pounds per unit, which equals 95,000 pounds.
The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Therefore, the desired ending raw materials inventory for July would be 10% of 95,000 pounds, which is 9,500 pounds.
To calculate the raw materials purchases for July, we need to consider the payment terms provided. Thirty-five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.
Let's assume the raw materials purchases for July are X pounds. Then the payment for 35% of X pounds will be made in July, and the payment for 65% of X pounds will be made in August.
The payment for raw materials purchases in July (35% of X pounds) will be:
0.35 * X pounds
The payment for raw materials purchases in August (65% of X pounds) will be:
0.65 * X pounds
Since the raw materials purchases for July should cover the desired ending raw materials inventory for July (9,500 pounds), we can set up the following equation:
Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July
X pounds - 0.35 * X pounds = 9,500 pounds
Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.
for such more question on equation
#SPJ8
who can help me out in basic mathematics IT
Answer:
Whats the question?
A pharmaceutical company is testing a new drug. For the study, the company enrolled 200 people who had previously been diagnosed with a specific condition. Half took the study drug and half took a placebo. Throughout the study, the participants were routinely asked to fill out a 50-question survey. After six months, the participants on the study drug showed positive improvements in their answers. What is the best way the company could improve this study to prove more thoroughly that its medications work
Answer:
The quantitative data must be collected and test statistics performed.
Step-by-step explanation:
The quantitative data must be collected by performong different test such blood test etc. Then the improvement in the medications work can be found out by applying different test statistics such as difference tests , etc.
The quantititave data will show how much there has been improvement by using drugs and placebo.
The test statistic will provide a basis for the quick decision without waiting for 6 months.
The next model of a sports car will cost 5.4% more than the current model. The current model costs $43000 . How much will the price increase in dollars? What will be the price of the next model?
Step-by-step explanation:
Increment = 5.4% × 43000 = 2322
Next model will cost $43,000 + $2,322 = $45,322
Convert from radians to degrees.
1/4π
1/4π radians is approximately equal to 45 degrees.
To convert a value from radians to degrees, multiply the value by 180/π. For example, to convert π/4 radians to degrees, multiply π/4 by 180/π to get 45 degrees. This conversion is useful for converting angles between the two units of measurement.
Degrees = Radians × 180/π.
Therefore, to convert 1/4π radians to degrees, we have:
Degrees = (1/4π) × (180/π) ≈ 45°
Hence, 1/4π radians is approximately equal to 45 degrees.
To know more about Conversion here
https://brainly.com/question/15743041
#SPJ1
Evaluate functions from their graph g(−9)=
See the Correct Answer Attached!
Evaluating the function from the given graph, g(-9) = 1.
How to Evaluate a Function?To find the value of a function for a given x-value using a given graph, trace the x-value against the corresponding y-value on the y-axis.
To evaluate the function from the graph given, for g(-9), find the y-value that corresponds to the x-value of -9.
The graph shows that when x = -9, the corresponding y-value is 1.
Therefore, g(-9) = 1.
Learn more about functions on:
https://brainly.com/question/15602982
#SPJ1
What is the value of x?
07
0 7√2
O
O 14
O 14√/2
45°
7√2
The value of the side length x is equal to 14 using the trigonometric ratio of sine.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
sin45 = 7√2/x {opposite/hypotenuse}
√2/2 = 7√2/x {sin45 = √2/2}
x = 7√2 × 2/√2 {cross multiplication}
x = 7 × 2
x = 14
Therefore, the value of the side length x is equal to 14 using the trigonometric ratio of sine.
Read more about trigonometric ratios here: https://brainly.com/question/3457795
#SPJ1
MP Use Tools A bobsled team is practicing runs on
a track. Their first run takes 4.85 minutes. On each
of the next two runs, the team's time changes by
-0.27 minute compared to the previous time.
A. What was the team's time on their final run?
The team's time on their final run is 4.31 minutes.
According to the question,
We have the following information:
Their first run takes 4.85 minutes. On each of the next two runs, the team's time changes by -0.27 minute compared to the previous time.
Now, the second run will be 0.27 minutes less than 4.85 minutes.
Time for the second run = 4.58 minutes
Now, the third run will be the final run and 0.27 minutes less than the previous run.
Now, the time for the final run will be as given below:
4.58-0.27
4.31 minutes
Hence, the team's time on their final run is 4.31 minutes.
To know more about team's time here
https://brainly.com/question/29394890
#SPJ1
Tickets to a dance recital cost $27 each. The auditorium for the recital has 902 seats. If the show sells out, how much money is brought in from the ticket sales?
Answer:
24354
Step-by-step explanation:
Translate this sentence into an equation. The product of Mabel's age and 4 is 56. Use the variable m to represent Mabel's age.
Answer:
4m = 56
Step-by-step explanation:
4 * m = 56
4m = 56
4/4m = 56/4
m = 14
Mrs. Grubbs has the option of eating a cookie with the diameter of 14 cm or 4 smaller cookies with a diameter of 5
cm. Which option would give Mrs. Grubbs more cookie to eat?
Mrs. Grubbs would get more cookie to eat by choosing the 4 smaller cookies with diameter 5 cm each rather than the single cookie with diameter 14 cm.
To compare the amount of cookie Mrs. Grubbs would get by eating a single cookie with diameter 14 cm and 4 smaller cookies with diameter 5 cm each, we need to consider the total area of the cookies.
The area of a cookie with diameter 14 cm can be calculated as follows:
A = πr^2 = π(7 cm)^2 = 49π cm^2
where r is the radius of the cookie.
On the other hand, the area of a single small cookie can be calculated as follows:
A1 = \(πr^2\) = \(π(2.5 cm)^2\)= \(6.25π cm^2\)
where r is the radius of the small cookie.
Therefore, the total area of 4 small cookies is:
A2 = 4A1 = \(4(6.25π cm^2)\) = \(25π cm^2\)
Comparing the two options, we see that the total area of the 4 small cookies is greater than the area of the single large cookie:
A2 > A
\(25π cm^2 > 49π cm^2\)
It's worth noting that this comparison assumes that the thickness or volume of the cookies is the same for both options. If the cookies have different thicknesses, then the comparison would need to take into account the volume of the cookies instead of just the area.
for similar questions on cookie
https://brainly.com/question/28385335
#SPJ11
Sally took her stats test last week and scored a 45%. The class average was 55%with a standard deviation of 4.5. How many standard deviations below the mean did Sally score? (Hint: z-score
)A) 3.33 SD above the mean
B) 2.22 SD below the mean
C) 2.22 SD above the mean
D) 3.33 SD below the mean
Answer: A
Step-by-step explanation:
Based on the graph, which of the following represents a solution to the equation?
Answer:
.......................
b (-3,-4)
is there anyone that can give me a hand with this question
Answer:
U = (4,4)
V = (1,1)
W = (3,-3)
Step-by-step explanation:
step 1: note down their current positions
U = (-4, 4)
V = (-1,1)
W = (-3, -3)
step 2: flip the sign of the x coordinates since you are flipping them over the y axis.
U = (-4, 4) --> (4,4)
V = (-1,1) --> (1,1)
W = (-3, -3) --> (3,-3)
step 3: that's it lol you have your answers
U = (4,4)
V = (1,1)
W = (3,-3)
Solve
4x957+8465x563+834
please help i need an answer for my homework
Answer:
the answer should be 477,0457 if x means multiply but if not you are not putting the equation in a correct way
Answer:
4770457
you just need to calculate them
Can someone help me please it's only 2 questions!!!!!
Problem 1
Answer: -4 + 7Reason: We start at 0 and move 4 units left. This is represented by 0+(-4) or 0-4. That simplifies to -4. Then add on 7 to move 7 units to the right to arrive at 3 as the final destination.
=============================================
Problem 2
Answer: 8 + 3Reason: We start at 0 and move 8 units to the right. That is represented by +8 or simply 8. Then the +3 will move us 3 more units to the right to get to 11 on the number line. This is one visual way to see why 8+3 = 11.
Find the x
please will give brainliest
Which number line represents the solutions to 1-2x = 4?
Answer:
The third choice down
Step-by-step explanation:
|-2x| = 4
There are two solutions, one positive and one negative
-2x = 4 and -2x = -4
Divide by -2
-2x/-2 = 4/-2 -2x/-2 = -4/-2
x = -2 and x = 2
Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $6. If you roll a 2, 3, 4 or 5, you win $2. Otherwise, you pay $7.
Answer:
what do you want to ask dear?
Step-by-step explanation:
In the decimal 3.0874, what numeral is in the thousandths place?
Answer:
7
Step-by-step explanation:
The first place is the tenths, followed by the hundreths, then the thousandths
The 7 is the 3rd number
Answer:
The 7
Step-by-step explanation:
Because when you want to figure out the number placings behind the decimal so it goes .0 is the tenths then .00 is the hundreths place then .000 is the thousandths place and so for and so on so there you go.
1. Quinn's test scores are 95, 90, and 83. What must she score on the next test to have an average
score of 90 on the four tests?
Answer:
92
Step-by-step explanation:
Add 95, 90, and 83 all together
add 92 to that total
divide by 4
question :
Solve -8x = 56 for x
answers:
x= -7
x= -8
x=7
x=6
Answer:
x=-7
Step-by-step explanation:
-8x = 56
divide both sides by -8
that leaves you with x = -7
you can plug it in to check because -8 * -7 = 56
4p+6-3 combine the like terms to create an equivalent expression
Answer:
4p + 3Step-by-step explanation:
6 - 3 = 3
The numbers can be simplified to become the number 3.
4p stays the same.
Place the variable and numbers together.
This will result in the equation of 4p + 3.
The answer is 4p + 3.It is estimated that only 68% of drivers wear their safety belt. Part A: What is the probability that exactly 3 drivers are wearing their safety belts if a police officer pulls over five drivers at random? (5 points) Part B: What is the probability the next driver wearing their safety belt that the police officer pulls over is the fifth driver? (5 points) (10 points)
Hence, there is a 0.68 percent probability that the fifth driver will be the one that police officer summons over while wearing a safety belt.
What does the name probability mean?The word "probability" derives from the Latin word "propitiate," which means "credibility, probability," from the noun probabilism in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.
Part A:
The likelihood that precisely 3 drivers are buckled up can be determined using the binomial probability formula:
P(X = 3) = (5 choose 3) × (0.68)³ × (0.32)²
Where (5 choose 3) = 10 is the number of ways to choose 3 drivers out of 5.
P(X = 3) = 10 × 0.68³ × 0.32²
P(X = 3) = 0.267
Consequently, there is a 0.267 percent chance that all 3 drivers are buckled up.
Part B:
The fifth driver will be pulled by by the police officer since 4 other drivers have already been stopped. We are looking for the likelihood that the motorist is wearing a safety belt.
Since 68% of drivers are safety belt wearers, there is a 0.68 percent chance that the following motorist will be as well.
Thus, there is a 0.68 percent chance that the next vehicle the police officer pulls over is driven by a person wearing a safety belt.
To know more about probability visit:
https://brainly.com/question/13604758
#SPJ1
The graph of a sinusoidal function intersects its midline at ( 0 , − 6 ) (0,−6)left parenthesis, 0, comma, minus, 6, right parenthesis and then has a minimum point at ( 2.5 , − 9 ) (2.5,−9)left parenthesis, 2, point, 5, comma, minus, 9, right parenthesis. Write the formula of the function, where � xx is entered in radians. � ( � ) = f(x)=f, left parenthesis, x, right parenthesis, equals
The formula of the function, where x is entered in radians is y = -3sin(πx/5) -6
What is the sinusoidal function?The key components: amplitude, period, phase shift, and vertical shift.
Amplitude is the distance between the midline and max/min points. Midline at (0, -6), so distance to min point (2.5, -9) is 3. Amplitude: 3.
Vertical shift: Displacement along y-axis. Midline at y = -6, vertical shift is -6. Period: distance between max/min points. Graph intersects midline at (0, -6) and minimum point at (2.5, -9). Period is 5 (2 * 2.5). Freq: Reciprocal of period, 1/5.
Phase shift: Horizontal shift of graph. Graph intersects midline at x=0, no phase shift.
Hence:
Amplitude: 3Vertical shift: -6Period: 5Frequency: 1/5Phase shift: 0The general form of the sinusoidal function is y = A sin (B(x-C)) + D
So, Substituting the known values into the general formula:
y = 3 x sin((1/5)x - 0) - 6
Hence: Simplifying it will be:
y = 3 x sin(πx/5) - 6
Then, the formula of the function, where x is entered in radians, is: y = -3sin(πx/5) - 6
Based on the image attached, the first given point is one that informs one that the function is a sine (not a cosine) function, and that it is one that has its offset as -6.
Also, the second given point is one that informs you of the first peak is at x=2.5, hence the argument of the sine function is π/2 if x=2.5: (πx/5).
Based on the fact that the peak is 3 units smaller than the midline, the amplitude is said to be -3.
Therefore the formula for the function is seen as: y = -3·sin(πx/5) -6
Learn more about sinusoidal function from
https://brainly.com/question/16300816
#SPJ1
find the range of this equation
The range of the given equation is [-1, infinity).
We are given that;
Equation y= underroot(x+5)
Now,
The domain of this equation is the set of x values that make the expression under the square root non-negative.
That is, x+5 >= 0, or x >= -5. So the domain is [-5, infinity).
The range of this equation is the set of y values that are obtained by plugging in the domain values into the equation. Since the square root function is always non-negative, and we are subtracting 1 from it, the smallest possible value of y is -1, when x = -5. As x increases, y also increases, and there is no upper bound for y.
Therefore, by the range the answer will be [-1, infinity).
Learn more about the domain and range of the function:
brainly.com/question/2264373
#SPJ1
A company uses the graph to show how many packages each truck driver delivers .How many packages will one truck driver deliver in a 7-hour day?
The truck driver would deliver 105 packages in a 7 hours day
What is an equation?An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.
Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:
y - 15 = [(60-15)/(4-1)](x - 1)
y = 15x
For a 7 hour day (x = 7):
y = 15(7) = 105
The driver would deliver 105 packages in 7 hours
Find out more on equation at: https://brainly.com/question/29174899
#SPJ1
Liam had63 markers, Alex has 49 markers, and Oliva has 77 markers use the GCF and
Answer:
and.....? look im only answering for the points m'lady. all i know is that olivia has, alex has, and liam HAD.
Step-by-step explanation:
Answer:
Step-by-step explanation:
63 = 3 * 3 * 7
49 = 7 * 7
77 = 7 * 11
So the GCF = 7.
LCM = 7 * 7 * 3 * 3 * 11 = 4851.
Evaluate the expression using order of operations (-4 + 12 - 6²) ÷ 7
Answer:
Step-by-step explanation:
Using the order of operations (also known as PEMDAS), we evaluate the expression as follows:
First, we evaluate any expressions inside parentheses or brackets. However, there are no parentheses or brackets in the expression.
Next, we evaluate any exponents. In this case, we have an exponent of 2 in the expression (-6²).
-6² means -6 raised to the power of 2, which is -6 times -6, or 36. So, we can replace (-6²) with 36 in the expression:
(-4 + 12 - 6²) ÷ 7 = (-4 + 12 - 36) ÷ 7
Then, we perform any multiplication or division, working from left to right. In this case, we have no multiplication or division operations.
Finally, we perform any addition or subtraction, working from left to right. In this case, we have two subtraction operations and one addition operation:
(-4 + 12 - 36) ÷ 7 = (-4 - 24) ÷ 7
Subtracting 4 from 12 gives us 8, and subtracting 8 from 36 gives us 28:
(-4 - 24) ÷ 7 = -28 ÷ 7 = -4
Therefore, the final result of the expression is:
(-4 + 12 - 6²) ÷ 7 = -4.
help with the question please