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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simplify and show work please and thank you
4a-13=19
Which story represents the graph below?
A person starts climbing a mountain, and then walks across a plateau, before finishing her climb to the top.
An airplane reaches its cruising altitude.
both of the above
neither of the above
Both given stories represents the given graph.
Given that, a person starts climbing a mountain, and then walks across a plateau, before finishing her climb to the top.
An airplane reaches its cruising altitude.
What is cruising altitude?The height in the sky at which an airplane stays for most of a flight.
Cruise altitude is usually where the higher ground speed is balanced against the decrease in engine thrust and efficiency at higher altitudes.
In the graph a plateau and cruising altitude of a function is a part of its domain where the function has constant value.
Therefore, both given stories represents the given graph.
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Which transformations will produce similar, but not congruent, figures?
A) Triangle MNO is reflected across the y-axis and then dilated by a scale factor of 1.8 to form triangle M"N"O".
B) Triangle MNO is reflected across the x-axis and then translated 9 units down to form triangle M"N"O".
C) Triangle MNO is reflected across the x-axis and then rotated 90° clockwise to form triangle M"N"O".
D) Triangle MNO is reflected across the y-axis and then rotated 180° clockwise to form triangle M"N"O".
Answer: A) Triangle MNO is reflected across the y-axis and then dilated by a scale factor of 1.8 to form triangle M"N"O".
Step-by-step explanation:
We know that we prefer rigid motions to create congruent images.
There are four kinds of rigid motions:
1) translation 2) reflection 3) rotation 4) glide reflection.
But a dilation is a transformation that creates an image having similar shape as the original, but with a different size.
So it does not create congruent images.
Hence transformations will produce similar, but not congruent, figures is :
Triangle MNO is reflected across the y-axis and then dilated by a scale factor of 1.8 to form triangle M"N"O".
Simplify the expression. 57 – 12 ÷ 4 • 3
What is the approximate percent decrease when a fish count goes down from 850 to 500? The percent decrease is 40%. The percent decrease is 70%. The percent decrease is 140%. The percent decrease is 240%.
The Rodriguez family went out to dinner to Pasta, Pasta, Pasta! Mr Rodriguez ordered a meal for $6.25. Mrs Rodriguez ordered a meal for $7.50. The two children ordered pizzas for $4.99 each. The sales tax rate is 7.25% (on the cost of only the meal) and they left a 15% tip based on the cost of the meal (not the tax). How much was the total bill? Question 8 options: A) $29.01 B) $45.98 C) $23.73 D) $23.96
160% of 35 show work.
Which number is the largest? 7.2 ⋅ 10−6, 3.09 ⋅ 103, 2.04 ⋅ 104, 5 ⋅ 103
Answer:
2.04 × 10^4
Step-by-step explanation:
7.2 × 10^-6 = 0.0000072
3.09 × 10^3 = 3090
2.04 × 10^4 = 20400
5 × 10^3 = 5000
If the welcome gold nugget were turned into 3 equal-sized gold bricks, How many Troy ounces would each brick weigh?
(03.03 MC) Find the ordered pairs for the x- and y-intercepts of the equation 3x − 2y = 18 and select the appropriate option below. (5 points)
The x-intercept is (0, 6); the y-intercept is (−9, 0).
The x-intercept is (6, 0); the y-intercept is (0, −9).
The x-intercept is (3, 0); the y-intercept is (0, −2).
The x-intercept is (0, 3); the y-intercept is (−2, 0).
Working together, two pumps can drain a certain pool in 4 hours. If it takes the older pump 9 hours to drain the pool by itself, how long will it take the newer pump to drain the pool on its own?
Broccoli cost $1.50 per pound at a store. How much money does 32 ounces of broccoli cost?
Answer:
32 ounces costs 3 dollars.
Step-by-step explanation:
There are 16 ounces in 1 pound. So 32 ounces is 2 pounds. 1.5*2=3. 32 ounces costs 3 dollars.
Is 95.045 and 95.545 greater or less then
Every 2/3 hour, Harris can sew 1/6 pair of jeans. What is Harris's rate in pairs of jeans per hour? Drag and drop the correct value into the box.
The rate in pairs of jeans per hour is 1/4
For every 2/3 hour Harris can sow 1/6 pair of jeans
Therefore the rate of Harris's jeans in pairs can be calculated as follows
= 1/6 ÷ 2/3
= 1/6 × 3/2
= 3/12
= 1/4
Hence the rate in pairs of jeans per hour is 1/4
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Lopez spent 1/3 of his vacation money for travel in 2/5 of his vacation money for lodging.He spent $1,100 for travel and lodging what is the total amount of money he spent on his vacation
A theater has 990 total seats. There are a total of 22 rows in the theater. If each row has an equal amount of seats, how many seats are there in each row? Find the unknown number in the equation 990 ÷ 22 = s.
What is 4973 divided by 7
Deon wants to make a mosaic using tiles. He will use 253 tiles in each of 4 different colors. He drew a diagram to help him find how many tiles he needs for his mosaic. (Plz show work)
a box of cereal states that there are 96 calories in a 3/4-cup serving. what is the unit rate of calories per cup? how many calories are there in 3 cups of ceral
The number of calories is there in 3 cups of cereal will be equal to 384.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
Total calories in 3/4 cup = 96
Let's assume that the number of calories per cup is x.
Then,
3/4 cup = 96
1 cup = x
Use cross-multiplication,
0.75x = 96
x = 96/0.75
x = 128 calories
Then, the calories in 3 cups will be,
= 128 × 3
= 384
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Brad bought 70.030 m of chain to make necklaces. He used 0.667 m of the chain to make one necklace.
How much chain did he have left?
Enter your answer in the box.
HELP ASAP I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the answer to the question is 69.363
Step-by-step explanation:
how to put 9.125 E10. in standard form
The volume of a cube depends on the length of its sides. This can be written in function notation as v(s). What is the best interpretation of v(3) = 27?
Answer:
Step-by-step explanation:
The volume of the cube depends on the length of its sides.
Volume can be represented by the function
V(s) = s³
Where s represents the length of one side.
Now V(3) = 27
or V(3) = 3³ will represent the volume of the cube with a side of length 3 unit.
Find the equation of a line parallel to y=-3 passing through the coordinate (2,6)
when would it be more useful to represent a proportional relationship with a graph rather than equation
Can anyone help me on #7 and #8
I don't get this I need help
Jacob has 16 toy cars.3/8 of the cars are red and the rest are blue.how many cars are blue
Answer:
The number of blue toy cars that Jacob has is 10.
Solution:
Given:
Total number of toy cars = 16
Number of red cars = [tex]\frac{3}{8}[/tex] of the total number of cars = [tex]\frac{3}{8}\times16[/tex]
On dividing 8 and 16 we get 2 i.e. [tex]3\times2=6[/tex]
[tex]\therefore[/tex] Total red cars = 6
To find: the number of blue toy cars
Number of blue toy cars = Total number of toy cars - Number of red cars
[tex]\Rightarrow 16-6=10[/tex]
Hence, blue cars = 10
Molly bought a pair of gloves and a skirt. The gloves cost £4. She sold teh gloves and the skirt for a total of £48. She made 100% profit on the cost of the gloves. 20% profit on the total cost. Work out the percentage profit on the cost of the skirt
The profit-maximizing quantity for Doggies Paradise Inc. is determined by comparing marginal revenue and marginal cost for each output level and is found to be at five units, which results in a profit of $40.
Explanation:Profit Maximization CalculationTo calculate the profit-maximizing quantity for Doggies Paradise Inc., we construct a table showing total revenue, marginal revenue, total cost, and marginal cost for each output level from one to five units. Given the price of $72 per dog coat, the fixed costs of $100, and the various total variable costs for each output level, we can determine the profit-maximizing quantity by comparing marginal revenue and marginal cost.
Calculate total revenue by multiplying the number of units by the price ($72).Calculate total cost by adding fixed costs ($100) to the total variable costs for each output level.Determine marginal revenue and marginal cost for each additional unit produced.Identify the output level where marginal revenue equals marginal cost; this is the profit-maximizing quantity.Subtract total cost from total revenue to find profits at this output level.If Doggies Paradise Inc. produces and sells five units, they will achieve a profit of $40, as total revenue will be higher than total costs, indicating that the fifth unit is adding to the profits.
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Jacob tapes down a piece of red tape on a basketball court. The piece of tape is 3/5 yard long. He wants to divide it into sections that are each 1 1/0 yard long.
F=9/5C+32. Solve for C.
The expression in terms of F is C = 5(F - 32)/9 if the relationship between F and C is F = (9/5)C + 32.
What is a linear expression?The linear expression can be defined as the relation between two variables, if we plot the graph of the linear expression we will get a straight line.
If in the linear expression, one variable is present, then the expression is known as the linear expression in one variable.
It is given that:
The relationship between F and C is:
F = (9/5)C + 32
To convert temperature from degrees Celsius to degrees Fahrenheit for c:
Make the subject as C:
(9/5)C = F - 32
As we know,
The expression can be defined as the combination of constants and variables with mathematical operators.
9C = 5(F - 32)
C = 5(F - 32)/9
Thus, the expression in terms of F is C = 5(F - 32)/9 if the relationship between F and C is F = (9/5)C + 32.
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