Which of the following is a reasonable estimated answer to the following problem?
989,867 ÷ 999
Mr Durant bought Console B for $20.99 off the advertised price. Find the total amount Mr. Durant paid.
at the movie theater, at least 60% of the seats must be full to recover operating costs. on Thursday 146 out of 200 seats are occupied. How many seats are occupied? What percentage of the seats are unoccupied?
The manager of a plant nursery bought 120 lb of soil to use for potting plants. The manager can put 5 lb into each of the small pots and 12 lb into each of the large pots. The manager made a sketch to show the line representing the different combinations of pots that can be used. The x-axis represented the number of small pots and the y-axis represented the number of large pots. The manager labeled only the intercepts.
Which points did the manager label?
1. (0, 12) and (5, 0)
2. (0, 10) and (24, 0)
3. (0, 24) and (10, 0)
4. (0, 5) and (12, 0)
The points that were labelled by the manager on the graph are (0, 10) and (24, 0). These points are found by dividing the total amount of soil by the amount of soil required by each type of pot.
Explanation:In this Mathematics problem, we need to determine which points were labelled on the graph created by the nursery manager representing combinations of small and large pots. We can find these points, the intercepts, by understanding that these occur when one variable is zero. The x-intercepts happen when all soil is used for large pots (i.e., the y-axis, or number of small pots, is zero), and the y-intercepts occur when all the soil is used for small pots (i.e., the x-axis, or number of large pots, is zero). For the x-intercept, if each large pot requires 12lb of soil, then the manager could fill 120/12 = 10 large pots if no soil is used for small pots. Therefore, the x-intercept is (0, 10). Similarly, the y-intercept would be obtained by dividing the total amount of soil with the amount used for a small pot. That gives us 120/5 = 24. Hence, the y-intercept is (24, 0). So, the points labelled by the manager are option 2: (0, 10) and (24, 0).
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Graph y=−5/6x−4 . (if you can give me the coordinates)
the slope is -5/6 and y intercept is -4
so the first dot goes on (0,-4)
the next dot would go
-5/6 x 4 = -29/6
(1,-29/6)
Two numbers have a distance of 5 units from 0 on a number line. The numbers can be graphed on the number line as points A and B.
Drag and drop the labels to the correct positions on the number line.
Answer:
Point A is labeled at x=-5 and point B is labeled at x=5.
Step-by-step explanation:
It is given that two numbers have a distance of 5 units from 0 on a number line.
Let the unknown number be x.
Case 1: x is 5 units less than 0.
[tex]x=0-5[/tex]
[tex]x=-5[/tex]
The point A is labeled at x=-5.
Case 2: x is 5 units more than 0.
[tex]x=0+5[/tex]
[tex]x=5[/tex]
The point B is labeled at x=5.
Give an example of an area. You would measure in square miles
Sophie and Eleanor are making bouquets using daisies and tulips. Each bouquet will have the same total number of flowers,Eleanor uses fewer daisies in her bouquet. than sophie. Whose bouquet will have the greatet ratio of daisies of total flowers? Explain.
Answer:
Sophie's ratio is greater.
Step-by-step explanation:
Sophie and Eleanor are making bouquets using daisies and tulips. Each bouquet will have the same total number of flowers.
Eleanor uses fewer daisies in her bouquet than Sophie.
Lets say the total flowers used in each bouquet is 15.
Eleanor uses 5 daisies. So, her ratio for daisies to total flowers become = [tex]\frac{5}{15}=\frac{1}{3}[/tex]
Suppose Sophie uses 10 daisies so her ratio becomes = [tex]\frac{10}{15}=\frac{2}{3}[/tex]
Now comparing both ratios, we can see that Sophie's ratio is greater.
What is 1/8 of $68.96
What two integers is 87 between
Answer:
43 and 44
Step-by-step explanation:
Kelly took 12 pictures at school on Tuesday. She took 7 pictures at lunch and 5 pictures at recess. If she randomly selects a picture to put in her locker, what is the probability it is a picture she took at recess?
a 5/7
b 1/6
c 1/5
d 5/12
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A pianist plans to play 6 pieces at a recital from her repertoire of 26 pieces. How many different recital programs are possible?
The number of different recital programs that are possible is 230230 programs
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.
Combination formula:
ⁿCr = n! / ((n – r)! r!)
n = the number of items.
r = how many items are taken at a time
The information will be illustrated as:
= 26! / (26 - 6)! 6!
= 26! / 20!6!
= 230230
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a cube has a volume of 8 cubic inches what is the length of each edge of the cubes
Answer:
The formula for the volume of the cube is v=a3 where a is the length of the edge the volume of the cube is 1/8 cube inches v= 1/8 cube inches a3=(1/2)3 cubic inches
Step-by-step explanation:
What is the equation of this graphed line (-6,-3) (6,-7)
Answer: [tex]x+3y=-15[/tex]
Step-by-step explanation:
The equation of a line passes through (a,b) and (c,d) is given by :-
[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
Then, the equation of a line that passes through (-6,-3) (6,-7) will be :-
[tex](y-(-3))=\dfrac{-7-(-3)}{6-(-6)}(x-(-6))\\\\\Rightarrow y+3=\dfrac{-7+3}{6+6}(x+6)\\\\\Rightarrow\ y+3=\dfrac{-4}{12}(x+6)\\\\\Rightarrow\ y+3=\dfrac{-1}{3}(x+6)\\\\\Rightarrow\ 3(y+3)=-x-6\\\\\Rightarrow\ 3y+9=-x-6\\\\\Rightarrow\ x+3y=-15.[/tex]
Hence, the required equation is [tex]x+3y=-15[/tex].
please help Graph y= –3x+4 .
The graph of the equation of line y = -3x + 4 is plotted
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = -3x + 4
where the equation is in the form of slope intercept
where the y-intercept is given by b = 4
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = -3
So , the slope of -3 indicates that for every 1 unit increase in x, the value of y decreases by 3 units. The negative slope means that the line is decreasing as x increases, sloping downward from left to right.
Hence , the equation of line is plotted on the graph
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Identify the corresponding word problem given the equation: x - 9.2 = 12.8 A) Nick ran 9.2 miles less than Perry last week. If Nick ran 22 miles, how many miles did Perry run? B) Nick ran 12.8 miles less than Perry last week. If Nick ran 9.2 miles, how many miles did Perry run? C) Perry ran 9.2 miles less than Perry last week. If Nick ran 12.8 miles, how many miles did Perry run? D) Nick ran 9.2 miles less than Perry last week. If Nick ran 12.8 miles, how many miles did Perry run?
The correct answer is D
Nick ran 9.2 miles less than Perry last week. If Nick ran 12.8 miles, how many miles did Perry run?
x - 9.2 = 12.8
x = 12.8 + 9.2
x = 22
Perry ran 22 miles for the week, 9.2 miles more than Nick.
Answer:
correct answer is D
Step-by-step explanation:
Anthony decided to buy two DVDs that were not included in the deal. His price after tax was $21.60. What was the cost of the two DVDs before the sales tax was added?
The cost of the two DVDs before the sales tax was added is $21.60.
To find the cost of the two DVDs before sales tax, let's first calculate the total cost including tax and then backtrack to find the cost before tax.
Calculate Total Cost with Tax:
The total cost including tax is given by: Total Cost = Price + Tax
Calculate Tax Amount:
Tax = Price * Tax Rate
Given that the sales tax rate is 8 percent (0.08 in decimal form), the tax amount is: Tax = 0.08 * $21.60 = $1.728
Calculate Total Cost:
Total Cost = Price + Tax
Total Cost = $21.60 + $1.728 = $23.328
Find Cost of DVDs Before Tax:
Let the cost of the two DVDs before tax be represented by x.
Total Cost = Price of DVDs + Price of DVDs * Tax Rate
$23.328 = x + 0.08x
$23.328 = 1.08x
Solve for x:
Divide both sides by 1.08:
x = $23.328 / 1.08 = $21.60
So, the cost of the two DVDs before the sales tax was added is $21.60.
Complete Question:
Anthony decided to buy two DVDs that we're not included in the deal. His price was $21.60. The sales tax is 8 percent. What was the cost of the two DVDs before the sales tax was added?
What is the GCF of 32a and 48b??
Marcia buys a dress that is on sale for 15% off it's original price. She uses a store coupon to obtain an additional 10% off the sale price. Marcia pays $91.80 for the dress. What was the original price of the dress?
Answer:
120$
Step-by-step explanation:
We must calculate the prices with the application of discounts successively
The last discount he got was 10%, so $ 91.80 equals 90% of the price
We calculate the price before this discount by applying with a simple rule of three
[tex]90 \% \longrightarrow 91.80\\100\% \longrightarrow x\\x=\frac{(100)(91.80)}{90}\\ x= 102\$[/tex]
She pays $ 102 with a 15% discount, so this value equals 85% of the original price
We calculate the price before this discount by applying with a simple rule of three
[tex]85\% \longrightarrow 102\\100\% \longrightarrow x\\x=\frac{(100)(102)}{85}\\ x= 120\$[/tex]
A ferry traveled 1/6 of the distance between two ports in 3/7 hour. At this rate, what fraction of the distance between the two ports can the ferry travel in one hour?
How much would $200 invested at 7% interest compounded annually be worth after 5 years? Round your answer to the nearest cent.
Answer:
280.51
Step-by-step explanation:
You deposit $1,600 in a bank account. Find the balance after 3 years if the account pays 2.4% annual interest compounded quarterly.
$1803.34 will be the balance after 3 years if the account pays 2.4% annual interest compounded quarterly
What is Compound interest?Compound interest is the interest on a loan or deposit that accrues on both the initial principal and the accumulated interest from previous periods.
let's call the amount of money A, the initial amount P, the yearly rate r, the number of compounds per year n.
[tex]A = P(1 + \dfrac{r}{n})^{(nt)[/tex]
[tex]A = 1600(1 + \dfrac{.024}{4})^{((4)(5)[/tex]
[tex]A = 1600(1.006)^{(20)[/tex]
[tex]A = \$1803.34[/tex]
Hence $1803.34 will be the balance after 3 years if the account pays 2.4% annual interest compounded quarterly
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Determine if you can use the HL Congruence Theorem to prove the triangles to prove the triangles below are congruent.
What is eight worth in 8.517
MS Nelson had 5,280 craft sticks. She gave all of the craft sticks to her 22 students. Each student received the same number of craft sticks. I need the answer to part b and c. I already did a and half of b
Sean and his sister, Betty equally mow 8/9th the total area of a lawn. What fraction of the total area did each of them mow? (Show ur work plz)
Using the division operation, the fraction of the total area mowed by each person is [tex] \frac{4}{9}[/tex]
Total fraction mowed = [tex] \frac{8}{9}[/tex]
Number of persons who mowed the area = 2
Since, the same amount of area ws mowed by each person, then the area mowed per person can be calculated thus :
Total Area mowed ÷ number of persons[tex] \frac{48}{9} \div 2 = \frac{4}{9}[/tex]
Hence, each person mowed [tex] \frac{4}{9}[/tex]
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How can you do this problem ?? Plz explain
What is the expression in standard form for 4(2a)+7(-4b)+(3*c*5)
Darius flipped a coin 500 times and it landed heads up 300 times. What is the relative frequency of the coin landing heads up based on the results of this experiment?