Step-by-step explanation:
25:15 is equivalent to 5:3 because 25 is 5 times 5, and 15 is 5 times 3.
10:1 is not equivalent to 5:3 because the sides cannot be multiplied to get 10:1.
3:9 is not equivalent to 5:3 because 5:3 has a bigger numerator and a smaller denominator, while 3:9 has it swapped.
How do you solve absolute value inequalities on both sides
Combine the like terms: 4g + 3 - 2g
Answer:
2g+3
Step-by-step explanation:
Answer:
2g+3
Step-by-step explanation:
Subtract 2g from 4g
Two positive numbers have a difference of 8. The larger number is three more than twice the smaller. Find the two numbers.
Answer:
5 and 13
Step-by-step explanation:
Let x represent the smaller number. Then the larger number is 2x+3, and the difference is ...
(2x+3) -(x) = 8
x = 5
The two numbers are 5 and 13.
_____
Check
Twice the smaller number is 10. 3 more than that is 13, the larger number. Their difference is 13 -5 = 8.
What was left of A dollars after 45% was spent
Answer:
55
Step-by-step explanation:
45-100=55
The amount of time required to reach a customer service representative has a huge impact on customer satisfaction. Below is the Excel output from a study to see whether there is evidence of a difference in the mean amounts of time required to reach a customer service representative between two hotels. Assume that the population variances in the amount of time for the two hotels are not equal. What is the smallest level of significance at which the null hypothesis will still not be rejected
Answer:
The smallest level of significance at which the null hypothesis will still not be rejected is 0.05.
Step-by-step explanation:
The \(p-\) value of t-test is \(0.725009\). This \(p-\) value is greater than \(0.05\).
Hence, the null hypothesis is not rejected and conclude that there is no sufficient evidence of a difference in the mean amount of time required to reach a customer service representation between two hotels.
The complete question is :
An object moves along a straight and horizontal path with a constant acceleration. If the velocity increases from rest to 11.53m/s in 5.44s, determine the acceleration of the object.
What is the domain of the square root function graphed below?
On a coordinate plane, a curve open up to the right in quadrant 4. It starts at (0, negative 1) and goes through (1, negative 2) and (4, negative 3).
x less-than-or-equal-to negative 1
x greater-than-or-equal-to negative 1
x less-than-or-equal-to 0
x greater-than-or-equal-to 0
Mark this and return
The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.
The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.
From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).
The x-values of these points are 0, 1, and 4.
Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.
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labor-hours and its standard cost card per unit is as follows:
Direct material: $ pounds at $11.00 per pound
Direct labor: 3 hours at $12 per hour
Variable overhead: 3 hours at $7 per hour
Total standard variable cost per unit
The company also established the following cost formulas for its selling expenses:
sales salaries and commissions
shipping expenses
Fixed Cost per
Month
$ 280,000
$ 260,000
$ 55.00
36.00
$112.00
Variable
Cost per
Unit Sold
$ 20.00
$ 11.00
The planning budget for March was based on producing and selling 21,000 units. However, during March the company
actually produced and sold 26.600 units and incurred the following costs:
a Purchased 154.000 pounds of raw materials at a cost of $9.50 per pound. All of this material was used in production.
b. Direct laborers worked 63,000 hours at a rate of $13.00 per hour
e Total variable manufacturing overhead for the month was $510,930
d Total advertising sales salaries and commissions, and shipping expenses were $286,000, $495,000, and $195,000,
respectively
6 What direct labor cost would be included in the company's flexible budget for March?
The direct labor cost included in the Preble Company's flexible budget for March is $819,000.
How to compute Preble Company's direct labor cost?To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.
Given:
Actual production and sales =n26,600 units
Actual direct labor rate = $13.00 per hour
Actual direct labor hours worked = 63,000 hours
Direct labor cost = Actual direct labor rate × Actual direct labor hours worked
Direct labor cost = $13.00/hour × 63,000 hours
Direct labor cost = $819,000
Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.
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PLEASE HELP ME!!! Which expression is equivelent to 4(9+7) A. 36 + 7 B. 13 + 11 C. 36 + 28 D. 13 + 7
Answer:C
Step-by-step explanation:
9+7=16
16 times 4 = 64
36+28=64
an onto function means that every element in the codomain must have a qunique preimage true of false
Answer:
False
Step-by-step explanation:
Onto function:-
Let two non empty set A and B .The function is defined from set A to set B.
If the function is onto then every element of y in codomain B has at-least one pre-image in the domain A .
Or
For every element in y codomain , there is at least one element x in the domain A such that
f(x)=y
If the function is onto then
Range=Codomain
If the function is onto then every element in the co-domain musta have a pre-image not unique.
Therefore, the given statement is false.
Select all angles adjacent to 24. You must select all
correct answers.
A. 1
B. 2
C. 3
D. 4
E. 5
F. 6
Answer:
E,F,C
Step-by-step explanation:
Please find angle q. Thank you!
the angle you are looking for is 9
Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth
99 6th graders took a test the median score was 72 how many students scored greater than 72
For the given median, there are 50 students who scored greater than 72.
What is median?
The median is a measure of central tendency in a set of numerical data. It is the value that separates the higher half of the data from the lower half when the data is arranged in order from least to greatest or greatest to least.
We are given that 99 6th graders took a test and the median score was 72. We want to find out how many students scored greater than 72.
Let the scores be denoted by S1, S2, ..., S99. We can sort these scores in order from least to greatest:
S1 ≤ S2 ≤ ... ≤ S99
Since the median score is 72, exactly half of the scores are above 72 and half are below 72. Thus, the 50th score in the sorted list is 72.
Since there are 99 scores in total, we can approximate the number of students who scored above 72 by dividing the total number of students by 2:
\($\frac{99}{2} = 49.5$$\)
This means that approximately 49.5 students scored above 72.
Since 0.5 rounds up to 1, we round 49.5 up to 50. Therefore, approximately 50 students scored greater than 72.
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find the square root of 7
The value of the square root of 7 is,
⇒ √7 = 2.645
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
WE have to given that;
To find the value of the square root of 7 .
Since, the square root of 7 is,
⇒ √ 7
⇒ 2.645
Thus, The value of the square root of 7 is,
⇒ √7 = 2.645
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You are a new loan officer with Alpha Mortgage, and the manager of the loan department has just presented a problem to you. He is unable to complete the APR calculation on an adjustable rate mortgage that a borrower applied for yesterday. The loan features initial payments based on a 5 percent rate of interest at loan closing. The current composite rate on the loan is 7 percent. Two discount points have been paid by the borrower. Any difference between borrower payments and the interest payment required at the composite rate will be accrued in the mortgage balance in the form of negative amortization. The mortgage amount desired by the borrower is $74,500 for a 30-year term.
Required:
Determine the APR, assuming that the ARM is made with a 2 percent annual and 5 percent over-the-life interest rate cap. (Do not round intermediate calculations.)
Answer:
Step-by-step explanation:
Apr is 248 the customer has to pay 248 dollars every month for 30 years he has to pay 7,440 dollars to the bank or he will lose the house.
Use the given information to find the compound interest earned by the deposit: ... of $12000 invested at 9% compounded quarterly for 1.25 years.
The compound interest earned is $1412.13.
Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
Compound interest is accelerated, and not linear.
"Interest on interest," or the power of compound interest, is believed to have originated in 17th-century Italy. It will make a sum grow faster than simple interest, which is calculated only on the principal amount.
Compounding multiplies money at an accelerated rate and the greater the number of compounding periods, the greater the compound interest will be.
Here, for this question, we will have to use the compound interest formula.
A = P(1 + r/n)^nt (Amount earned after compounding)
A = 12000(1 + .09/4)^[4(1.25)]
A = 12000(1.0225)^5
A ≈ 12000(1.117678)
A ≈ $13,412.13
i = A - P (interest earned)
i = 13,412.13 - 12000
i ≈ $1412.13
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HELP ME PLEASE ASAP
Find the next term of the following sequence.
25, 10, 4, ...
D :- 10 - 25 = -5
4 - 5 = -1
Required Answer:- -1
King of Diamonds Industries has bonds on the market making annual payments, with 14 years to maturity, and selling for R1 482,01. At this price, the bonds yield 7%. What is the coupon rate?
The coupon rate of the bonds by King of Diamonds Industries would be 7 %.
How to find the coupon rate ?The formula for the bond price shows the coupon payment and so can be used to find the coupon rate:
= (Coupon payment x ( 1 - ( 1 + r ) ^ ( - number of years till maturity ) ) ) / r + Face value / (1 + rate )^ number of years
1,482.01 = (C x (1 - (1 + 0.07 )^ (- 14) ) ) / 0.07 + F / (1 + 0.07 ) ^ 14
103.7407 - 0.07 x (F / (1 + 0.07) ^14 ) = C x (1 - ( 1 + 0.07) ^ ( - 14) )
Using a calculator, C is $ 70.
This means that the coupon rate is:
= 70 / 1, 000
= 7 %
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Solve for x and explain your steps in detail using the R-E-S-T Method
8x - 4 = 92
Answer:
12
Step-by-step explanation:
you add 92 with the 4 and get 96 then you divide the 8x with the 96 and get 12
Hope it helps <333
x = 12
Calculations ↓Our goal is to find the value of x .
To find the value of x we need to get x by itself .
The first step is to move all numbers to the right . Luckily , there's only one number here : 4.
So we add 4 on both sides :
8x=96
Now divide by 8 on both sides :
x = 12
So the value of x is 12.\(\footnotesize\text{hope\:helpful~}\)
Can someone please answer and provide an explanation for these problems?
The values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4
What are the segments tangent to the circleA theorem of tangents to a circle states that if from one exterior point, two tangents are drawn to a circle then they have equal tangent segments.
(25). 2x - 1 = x + 1 {equal tangent segments}
2x - x = 1 + 1 {collect like terms}
x = 2
(26). 2x - 4 = x {equal tangent segments}
2x - x = 4 {collect like terms}
x = 4
Therefore, the values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4
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a temperature of 0 degrees Celsius:
a temperature of 8.5 degrees Celsius above zero:
a temperature of 7 degrees Celsius below zero:
100 points
Answer:
mark on the 0, on the 7, and half way past 8
hope this helps, pls give brainliest
Step-by-step explanation:
Graph the inequality. y is less than negative one fourth times x minus 3 The graph shows a solid line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading above the line. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative, 3 with shading above the line. The graph shows a solid line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line.
A graph of the inequality "y is less than negative one fourth times x minus 3" is: D. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line.
How to determine the required ordered pair?In order to determine the ordered pair that is included in the solution to this linear inequality, we would first of all translate the word problem into an algebraic equation as follows;
y is less than negative one-fourth times x minus 3 ⇒ y < -x/4 - 3.
Next, we would use an online graphing calculator to graphically solve the linear inequality. Therefore, the required solution for the given linear inequality is the shaded area below the dashed line, which is given by the ordered pairs (−12, 0) and (0, -3).
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Answer:
it’s D dotted line with shading below
Step-by-step explanation:
i got it on my quiz
what is the measure of angle 1?
a. 36
b. 86
c. 89
d. 94
Answer:
D, 94
Step-by-step explanation:
Angles of a triangle add up to 180 degrees. 180 - 29 - 65 = 86 Angles 1 and 2 add up to 180 degrees. 86 = 2 180 - 86 = 94 94 = 1
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Determine the mean, median, mode and midrange for the following data:
13 15 18 18 21
Your answers should be exact numerical values.
The mean of the data is
The median of the data is
The mode of the data is
The midrange of the data is
The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.
The Mean is defined as the ratio of sum of numbers present in the data to the total numbers present in the data. Median is defined as the ratio of sum of middle numbers present in the data. Mode is defined as the most recurring number present in the data. Midrange is the ratio of the largest and smallest number in the data to 2.
Let's see how to calculate Mean, Median, Mode and Midrange.
Mean = 13 + 15 + 18 + 18 + 21 / 5
Mean = 85 / 5
Mean = 17
Median = 18 (as it is the middle term of the data)
Mode = 18 (as it is most recurring number)
Midrange = 21 + 13 / 2
Midrange = 34 / 2
Midrange = 17
Therefore, The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.
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Factor this trinomial completely.
12x2 + 8x - 15
A. (3x + 3)(4x – 5)
B. (2x + 5)(6x-3)
C. (2x+3)(6x – 5)
D. (3x + 5)(4x – 3)
Answer:
Option C. (2x+3)(6x – 5) is the correct answer.
Step-by-step explanation:
Given polynomial(trinomial) is:
\(12x^2 + 8x - 15\)
The given trinomial is quadratic. Factorization will be as follows:
Multiplying the co-efficient of x^2 and the constant results in 180. We have to make factors of 180 in such a way that their sum of difference is equal to the co-efficient of x.
The required factors are 18 and 10
So,
\(=12x^2+18x-10x-15\\=6x(2x+3)-5(2x+3)\\= (6x-5)(2x+3)\)
Hence,
Option C. (2x+3)(6x – 5) is the correct answer.
figure below represents a floor covered with white tiles and gray tiles. KEY = 1 square unit
According to the information, we can infer that the correct expression is (10 * 7) + (2 * 7) (option D).
How to find the correct expression?To find the correct expression we must look at the graph and interpret the information it has. In this case, some tiles are white and others are gray, so they would represent different elements. In this case, the white area is 10 * 7 tiles, so this would be the first part of the expression.
On the other hand, the second part of the expression would be 7 * 2, which represents the length, length and width of the gray area. According to the above, the correct expression would be (10 * 7) + (2 * 7), the first part in parentheses represents the white area and the second part in parentheses represents the gray area.
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10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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I need help plz guys asap
Answer:
the answer is 36
Step-by-step explanation:
what you have to do is add 20 and 16 and it will give you the answer
Answer:
sorry i can see
Step-by-step explanation:
What is the circumference of a circle with a radius of 91 mm? (use 22/7 for pi; show your work in numbers)
Answer:
571.77 is the correct answer because
C=2πr=2·π·91≈571.76986