Elizabeth has budgeted $3,000 for food. If she decides to serve an additional side and a salad, can she choose the meal with two meats and stay within her budget?
Use the distributive property to expand the expression. (5x + 6y) − (3z + 4)
5x + 6y − 3z − 4
Because
(5x + 6y) − (3z + 4)
(5x + 6y) + (−1)(3z + 4)
5x + 6y + (−1)(3z) + (−1)(4)
5x + 6y − 3z − 4
1/9 rounded to the nearest 1/2.
1/9 rounded to the nearest 1/2 is 0 because it is closer to 0 than to 1/2.
Explanation:When rounding 1/9 to the nearest 1/2, consider the fractions between 0 and 1 that are multiples of 1/2, which are 0 (or 0/2) and 1/2. Since 1/9 is closer to 0 than it is to 1/2, 1/9 rounded to the nearest 1/2 is 0. If you're trying to visualize this, picture a pie: 1/9 of a pie is a smaller slice than 1/2 of a pie.
To round a number to the nearest 1/2, you would choose the nearest fraction that is a multiple of 1/2. In this case, 1/9 is less than 1/4 (which is half of 1/2), hence it rounds down to 0, which represents no pie at all compared to half a pie.
Susan is buying supplies for a party. If spoons only come in bags of 8 and forks only come in bags of 6, what is the least number of spoons and the least number of forks she can buy so that she has the same number of each? asap and tell my how you got the answer please
Explain why 1.55 centimeters is a reasonable answer for the difference in the wingspans of the two butterflies
the sum of the page numbers on the facing pages of a book is 69. what are the page numbers.
My numbers has two hundreds the tens digits is 9 more than the ones what is my number
Last year there were 225 employees and 25 supervisors at Corpcon Company. If 27 more employees are hired, how many supervisors need to be hired in order to keep the same ratio?
A tailoring shop determines that for certain dress sizes it must use 4 3/8yd of fabric that is 45 in wide. To make the same dress with fabric that is 60 in wide, it needs 3 1/4 yd. convert 4 3/8 and 3 1/4 to fraction notion.
What did the athlete order when he needed a huge helping of mashed potatoes? Unscramble the following letters: p, p, r, o, m, n, t, o, i. The answer would be a
_ ___ _______!?
Pencils come in a pack of 8 for $1.12. How much is each pencil?
Which equation is equivalent to 2^4x = 8^x-3
Answer:
x = -9Step-by-step explanation:
[tex]8=2^3\\\\8^{x-3}=(2^3)^{x-3}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\8^{x-3}=2^{3(x-3)}\qquad\text{use the distribtutive property}\ a(b+c)=ab+ac\\\\8^{x-3}=2^{3x-9}\\\\\text{Therefore}\\\\2^{4x}=8^{x-3}\Rightarrow2^{4x}=2^{3x-9}\iff4x=3x-9\qquad\text{subtract}\ 3x\ \text{from both isdes}\\\\4x-3x=3x-3x-9\\\\x=-9[/tex]
Answer:2^4x = 8^x-3
Step-by-step explanation:Answer is D
A batch of cookies requires 1 1/2 of sugar. How many batches can Ty make with 7 and 1/2 cups of sugar
56.4 as a fraction in simplest form
An investment is currently worth 1.035×108 dollars . Thirty years ago, the investment was worth 2.3×105 dollars. How many times greater is the value of the investment today than the value of the investment thirty years ago
what is 46841 rounded to the nearest hundred
A real estate agent recieved a $17,500 commision on the sale of a $350,000 house on Walnut Street. The same agent recieved a $20,000 commission on the sale of a house on Center Ave. What was the sale price of the house on Center Ave? A: $100,000 B:$370,000 C: $400,000 D: $450,000
Answer:
Opton C: $400,000
Step-by-step explanation:
A real estate agent received a $17,500 commission on the sale of a $350,000 house.
We will calculate the percentage of the commission.
[tex]\frac{17,500}{350,000}\times 100[/tex]
= 0.05 × 100
= 5%
Let the value of the house on Center Ave be x
Therefore, 5% of x = $20,000
= 0.05x = 20,000
x = [tex]\frac{20,000}{0.05}[/tex]
x = $400,000
The sale price of the house on Center Ave is $400,000
When 2246 is subtracted from twice a certain number, the result is 10,000. What is the number?
The number is 6123.
Given,
When 2246 is subtracted from twice a certain number, the result is 10,000.
We are to find the number.
Let the number be M.
Now,
"When 2246 is subtracted from twice a certain number"
It can be written as:
2M - 2246
"the result is 10,000".
It can be written as,
2M - 2246 = 10,000
Now,
We have.
2M - 2246 = 10000
Solve for M.
2M - 2246 = 10000
2M = 10000 + 2246
2M = 12246
M = 12246 / 2
M = 6123
Thus the number is 6123.
Learn more about subtraction here:
https://brainly.com/question/13718956
#SPJ2
Lines A and B are graphs of a system of equations with no solutions? Which of the following statement is NOT true?
Please explain if u can!
Timothy began the week with $35. He bought lunch at school, paying $2.25 for each meal. Let x be the number of meals he bought at school and y be the amount of money he had left at the end of the week. Which equation represents the relationship in the situation?
Suzanne bought 50 apples at the orchard. She bought 4 times as many red then green apples. How many more red then green apples did she buy.
Suzanne bought 30 more red apples than green apples.
Given that Suzanne bought 50 apples, which are 4 times as many red then green apples.
We need to find how many more red apples then green apples did she buy.
To find the number of red and green apples Suzanne bought, we can set up an equation based on the information given.
Let's assume that Suzanne bought x green apples. Since she bought 4 times as many red apples as green apples, she must have bought 4x red apples.
According to the problem, Suzanne bought a total of 50 apples. So we can write the equation:
x (green apples) + 4x (red apples) = 50
Combining like terms, we have:
5x = 50
To solve for x, we divide both sides of the equation by 5:
x = 10
Now we know that Suzanne bought 10 green apples. To find the number of red apples, we can substitute this value back into our equation:
4x = 4 × 10 = 40
Suzanne bought 40 red apples.
To find the difference between the number of red and green apples, we subtract the number of green apples from the number of red apples:
40 (red apples) - 10 (green apples) = 30
Hence Suzanne bought 30 more red apples than green apples.
Learn more about Equation click;
https://brainly.com/question/29538993
#SPJ6
find the middle integer if the sum of the greatest and the least of the three consecutive integers is 82
an airplane that can hold 63 passengers is separated into 3 sections .each section holds the same number of passsengers write a division sentence to corectly describe the situation
Gary’s is a small publishing company that publishes math books. The production costs include a one-time cost for editing the book, which is $1,050 for the book the company is currently working on (The Universe of Math). Once the book is in production, the only cost will be the variable cost of printing, which is $15 per book. The company will market the book at a price of $35. If you were to plot a graph of the profit generated by this book, what would the slope and the y-intercept represent?
Answer:
The y- intercept is -1,050 and the slope of the graph is 20.
Step-by-step explanation:
Consider the provided information.
The slope intercept form is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y intercept.
The production costs include a one-time cost for editing the book, which is $1,050.
We need to find the y-intercept, here the y-intercept is the one-time cost of editing the book.
As we want to plot a graph of the profit so the cost will represented as negative.
Therefore, b = -1,050
Hence, the y- intercept is -1,050.
Now again consider the provided information.
The company will market the book at a price of $35 but it is given that the cost of printing, is $15 per book.
Thus, the slope is the difference of the selling price and production cost.
Or we can say that the slope is the profit per book sold.
Slope = m = 35 - 15 = 20
Hence, the slope of the graph will be 20.
The required equation of the graph is y=20x-1050
It takes 40 min for a bus to travel the 36 miles from Framingham to Worcester. A car traveling from Worcester to Framingham moves 1.5 times as fast as the bus. If the car and the bus start moving towards each other simultaneously, after how many minutes will they meet?
Kali had some candy to give to her five children. she first took seven pieces for herself and then evenly divided the rest among her children. each child received two pieces. with how many pieces did she start with?
A number n is multiplied by 3. The result is the same as when n is divided by 3. What is the value of n
Jefferson High School has a student body of 6⁴ students. Each class has approximately 6² students. How many classes does the school have? Write the answer as one power.
Sofia wants to place a sticker 2 ½ inches long in the center of a switch box that is 3 ¾ inches wide. About how far from the edge will she place the sticker?
Three friends spent 42 hours painting a neighbor’s house. John painted 1/3 of the time, Lenny worked 3/7 of the time, and Abby painted the rest of the time. how many hours did each friend paint? What would happen If another friend joined them, and they divided the work up evenly among them, how much more, or less, would John, Lenny and Abby each have painted?