Final answer:
Richard and Samantha should estimate yearly costs for non-monthly expenses, divide by 12, and save this amount each month, incorporating it as a fixed expense in their budget.
Explanation:
Richard and Samantha can account for non-monthly expenses in their monthly cash flow by setting aside money each month for these irregular expenses. To do this, they should estimate the total cost of these expenses for the year and divide that amount by 12. This will provide the monthly amount they need to save in order to cover costs such as car repairs and vacations without disrupting their budget. Each month, this amount should be treated like a fixed expense and set aside in a savings or separate account, ensuring that funds are available when these expenses occur.
Example:
Car Repairs: Estimated at $600 per year (divide by 12 = $50 per month)
Vacations: Estimated at $1200 per year (divide by 12 = $100 per month)
By including these estimated expenses in their monthly budget, they can create a more accurate and effective budget that accommodates all their financial activities throughout the year.
( PLEASE HELP) The points (3,-2) (-3,-2) and (-3,6) are the vertices of a triangle. Find the perimeter of the triangle. (Hint: Use the Pythagorean theorem to find the length of the hypotenuse.
A cup has 4 pencils, 3 black pens, 1 blue pen, and 5 red pens. What is the probability of selecting a black or blue pen?
The original value of a Tv is $2300. As a new model of TVs become available, the value decreases by 2% each year. What will the value of the Tv be in 7 years? Show the steps you took to solve this problem, including the function you created.
A bookstore has a sale:
Jim wants to buy two books for $10.00 each. By what percent is the total cost of the two books reduced during the sale?
We cannot calculate the percentage reduction in price because the question does not provide enough information. We need the sale price, as well as the original price, to determine the percentage reduction. The formula used is Percentage Reduction = ((Original Price - Sale Price) / Original Price) * 100.
Explanation:To determine the percentage by which the total cost of the two books is reduced during the sale, we first need to know the original price and the sale price of the books. The original price for two books, according to Jim, is $10 each which means the total cost is $20. However, we are not given the information about the sale price of the books, hence we cannot calculate the percent reduction.
We use the formula: Percentage Reduction = ((Original Price - Sale Price) / Original Price) * 100. Despite having the original price, without information on the sale price, solving the problem is impossible.
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If x is to 6 as 10 is to 15, then x is equal to
A car in rush hour traffic travels 1/2 of a mile in 1/8 of an hour. If the car continues to travel at the same rate, how many miles will it travel in 1 hour.
Equality of complex numbers:
please help me answer questions 9 & 10 in the photo.
****Must show step by step guide to how you got your answers***
Answer:
By comparison, 2x = 4 and x + y = -5.
2x = 4 implies that x = 4/2 = 2
x + y = -5 implies that y = -5 - x = -5 - 2 = -7.
Step-by-step explanation:
During one week, Josh ran 36 miles, Corey ran 26 miles, Rhona ran 30 miles, and Lyndsay ran 28 miles. What is the mean distance run by the four students?
A. 29 miles
B. 30 miles
C. 36 miles
D. 120 miles
The mean distance ran by all four of them is 30.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that during one week, Josh ran 36 miles, Corey ran 26 miles, Rhona ran 30 miles, and Lyndsay ran 28 miles.
A mean in math is the average of a data set, found by adding all numbers together and then dividing the sum of the numbers by the number of numbers. Mathematically, we can write -[tex]${\displaystyle {\bar {x}}={\frac {1}{n}}\left(\sum _{i=1}^{n}{x_{i}}\right)={\frac {x_{1}+x_{2}+\cdots +x_{n}}{n}}}[/tex]
We can write the mean as -
m = (36 + 26 + 30 + 28)/4
m = 120/4
m = 30
Therefore, the mean distance ran by all four of them is 30.
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Which of the following best describes the expression 3x + 2y + 8z?
The product of three sums; there are three terms
The sum of three products; there are three terms
The product of three sums; there are six terms
The sum of three products: there are six terms
Answer:
B. The sum of three products; there are three terms.
Step-by-step explanation:
We have been given an expression [tex]3x+2y+8z[/tex]. We are asked to choose the sentence which best describes our given expression.
We can see that our given expression has three variables and each of them is multiplied by a number. Therefore, there are three terms is our given expression.
We can see that each term is product of a number and variable and all terms are being added, therefore, our expression represents the sum of three products and option B .
Ella is cooking a turkey and a ham for Thanksgiving. It takes 15 minutes per pound to cook a turkey and 23 minutes per pound to cook a ham. Ella is able to cook the turkey and the ham in 5 hours and 18 minutes. If the turkey weighs twice as much as the ham, how much do the turkey and the ham weigh?
Final answer:
The turkey weighs 12 pounds, and the ham weighs 6 pounds. This was determined by setting up an equation based on the given cooking times per pound, converting the total cooking time to minutes, and solving for the weight of the ham, which was then used to find the turkey's weight.
Explanation:
Calculating the Weights of Turkey and Ham
Ella is cooking a turkey and a ham for Thanksgiving. The turkey takes 15 minutes per pound to cook, while the ham takes 23 minutes per pound. Altogether, the cooking time is 5 hours and 18 minutes, which converts to 318 minutes (5 hours x 60 + 18). We are told the turkey weighs twice as much as the ham.
Let's define x as the weight of the ham in pounds. Then the turkey's weight is 2x pounds. The total cooking time for the ham is 23x minutes, and for the turkey, it is 2x multiplied by 15, which is 30x minutes. Adding both cooking times gives us the total cooking time:
23x + 30x = 318
53x = 318
x = 6
Therefore, the ham weighs 6 pounds, and the turkey weighs 12 pounds (twice the weight of the ham).
A size 8 kids shoe measures 9 2/3 inches. If 5 pairs of size 8 shoes are lined end to end, then how many inches will they cover?
A. 36 2/3 b. 48 1/3 c. 77 1/3 d. 62
Final answer:
To find the total length that 5 pairs of size 8 shoes will cover, multiply the length of one pair by the number of pairs. The total length will be 48 1/3 inches.
Explanation:
To find the total length that 5 pairs of size 8 shoes will cover, we need to multiply the length of one pair by the number of pairs. Since a size 8 kids shoe measures 9 2/3 inches, we can multiply this by 5 to find the total length.
Step 1: Convert the mixed number,16/3, to an improper fraction: 9 2/3 = (9*3 + 2)/3 = 29/3 inches.
Step 2: Multiply the length of one pair by the number of pairs: (29/3) * 5 = 145/3 inches.
Step 3: Simplify the fraction: 145/3 = 48 1/3 inches.
y=2x-1
3y=6x-5
Please help
on the first five performance scores at work,your score were:84,83,92,80, and 95.On the average, what was the score?
a.62
b.84.75
c.86.8
d.88.5
how do I do the second one on the picture and what is the answer
Karen's mother picked 3 pears for every 7 apples she picked. If she picked a total of 170 items, how many were pears?
Final answer:
Karen's mother picked 51 pears. The ratio of pears to apples picked was 3:7, and using the total number of items (170), we set up and solved two equations to find the number of pears.
Explanation:
The question is about determining how many pears were picked if Karen's mother picked 3 pears for every 7 apples, with a total of 170 items picked. Let's let P represent the number of pears and A represent the number of apples. We know the following ratios and totals:
3 pears for every 7 apples, so P:A = 3:7 The total number of items picked is 170, so P + A = 170We can use these ratios to set up two equations:
P = 3/7 * A P + A = 170By substituting the first equation into the second, we get:
(3/7 * A) + A = 170
This simplifies to:
(10/7) * A = 170
Dividing both sides by (10/7) we find:
A = 170 * (7/10)
A = 119
Substituting A back into the P + A equation:
P + 119 = 170
P = 170 - 119
P = 51
So, Karen's mother picked 51 pears.
What is (f-g)(X) ? I'm confused help
find the value of x and then classify the triangles
Answer:
6) x = 16°, scalene triangle
7) x = 45°, right triangle
Explanation:
The sum of all angles within a triangle is 180 degrees so if given two angles, we can set up an equation to solve for the missing third angle.
For question 6, our equation is 39 + 125 + x = 180. Let's solve and then classify:
39 + 125 + x = 180
164 + x = 180
164 - 164 + x = 180 - 164
0 + x = 180 - 164
x = 16
Because no two angles within the triangle have the same measure and no two legs on its edges have the same length, its classification is a scalene triangle.
For question 7, the triangle has a box that indicates one of its known angles is 90 degrees. So our equation is 90 + 45 + x = 180. Let's solve and then classify:
90 + 45 + x = 180
135 + x = 180
135 - 135 + x = 180 - 135
0 + x = 180 - 135
x = 45
Because the triangle contains a right angle indicated by that same box we used to derive that one of the angles measured 90 degrees, we can determine that this classification is a right triangle.
NEED HELP FAST
Read the complete problem before answering. Tessa made a block tower that was 1 1/8 ft tall. She made a second block tower that was 2 3/4 ft tall. What was the combined height of the towers? A student solved the problem this way: 1 1/8 + 2 3/4 = 1 1/8 + 2 6/8 = 3 7/8 The combined height of the towers was 3 7/8 ft tall. Use a similar strategy to solve this problem. Martina made a block tower that was 2 1/3 ft tall. She had a toy giraffe that was 1 1/3 ft tall. She had another tower that was 3 1/4 ft tall. How tall would the towers be if placed one on top of the other?
Answer:
5 7/12
Step-by-step explanation:
28/12 + 39/12 = 67/12 = 5 7/12
Write the quadratic equation whose roots are 6 and -4 , and whose leading coefficient is 5. (Use the letter x to represent the variable.)
The quadratic equation for this would be f(x) = 5x^2 - 10x - 120.
In order to find that, we need to start by taking our x intercept values and setting them equal to zero.
x = 6 ----> subtract 6 from both sides
x - 6 = 0
x = -4 ----> add 4 to both sides
x + 4 = 0
Now that we have both of these zero terms, we can multiply them to get a standard form.
f(x) = (x - 6)(x + 4)
And while this will give us the zeros we need, it will no give us the lead coefficient. So we must multiply by the desired lead coefficient.
f(x) = 5(x - 6)(x + 4)
f(x) = 5(x^2 - 6x + 4x - 24)
f(x) = 5(x^2 - 2x - 24)
f(x) = 5x^2 - 10x - 120
The quadratic equation whose roots are 6 and -4, and leading coefficient is 5 is 5x^2 - 10x - 120 = 0.
Explanation:To write the quadratic equation whose roots are 6 and -4 with a leading coefficient of 5, we make use of the general form of a quadratic equation ax^2 + bx + c = 0. Knowing that the roots can be represented as (x - root1)(x - root2) = 0, we can form the equation as x^2 - (root1 + root2)x + root1*root2 = 0. Here, root1 is 6 and root2 is -4.
Plugging these values into the equation, we get:x^2 - (6 - 4)x + 6*-4 = x^2 - 2x - 24 = 0. Finally, we multiply this entire equation by the leading coefficient of 5 to get 5x^2 - 10x - 120 = 0.
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2. A triangular pyramid begins with these coordinates:
P(–1, 2, 0)
Y(2, 3, 0)
R(–3, 4, 0)
A(–2, 1, 5)
The pyramid is then reflected over the yz-plane. The reflected image is then translated using the following rule: (x, y, z) (x + 2, y + 4, z – 3). Determine the coordinates of that final image, following these steps:
1. Write the general rule you use for the reflection. (4 points)
2. What would be the new points of the shape after this reflection? (4 points)
3. Now, use the points from number 2 and apply the translation rule. Show the results of your calculations for that translation. (4 points)
What are these two answers? please help.
Can someone please help me on number 13
help with maths please
i think your answer is 22.5 because if you divide 15 by 8 to find out how each one works you get 1.875 and take that and multiply it by 12 because 3 stopped, you would have 22.5
According to the rational root theorem -7/8 is a potential rational root of which function.
A.f(x)=24x^7+3x^6+4x^3-x-28
B.f(x)=28x^7+3x^6+4x^3-x-24
C.f(x)=30x^7+3x^6+4x^3-x-56
D.f(x)=56x^7+3x^6+4x^3-x-30
There are (10^8)^2 ⋅ 10^0 candies in a store. What is the total number of candies in the store?
1
10^10
10^16
10^17
^ = the power of...
Art mows 1/8 acre in 1/4 hour. hOw many acres does art mow per hour
a parade traveled 9 miles in 3 minutes and how far did the parade travel per minute
It is given in the question that a parade traveled 9 miles in 3 minutes.
Here distance is 9 miles and time is 3 minutes.
We have to find how many miles travelled per minute. It means , we have to find the speed, and the formula of speed is
[tex]speed = \frac{distance}{time}[/tex]
Substituting the values of distance and time, we will get
[tex]speed = \frac{9}{3} miles/minutes[/tex]
[tex]speed = 3 miles/minutes[/tex]
Therefore the parade travelled 3 miles per minute .
i really need this answered!!! please help!
If I am correct, I think you have to subtract 121 degrees from 79 degrees, and the answer would be:
B. 48 degrees
find the volume of each prism round to the nearest tenth if necessary
V=1 /4*h*sqrt(﹣a^4+2(ab)^2+2(ac)^2﹣b^4+2(bc)^2﹣c^4)
h = sqrt(3^2 + 5^2) = 5.80
Answer: 43.63 units^3
Robert drove at an average speed of 60 miles per hour for 6 hours. Nancy drove for 7 hours at an average speed of 56 miles per hour. Which method shows a way to calculate the difference in the distances they drove? A.Step 1 Divide: 60 ÷ 6.Step 2 Divide: 56 ÷ 7. Step 3 Subtract the two quotients. B.Step 1 Divide: 60 ÷ 6. Step 2 Divide: 56 ÷ 7. Step 3 Add the two quotients. C.Step 1 Multiply: 60 × 6. Step 2 Multiply: 56 × 7. Step 3 Add the two products. D.Step 1 Multiply: 60 × 6. Step 2 Multiply: 56 × 7. Step 3 Subtract the two products.