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?
(0, 12) and (5, 0)
(0, 10) and (24, 0)
(0, 24) and (10, 0)
(0, 5) and (12, 0)
What are fissures and how are theu created by land subsidence?
For a circle of radius 3 feet, find the arc lengths subtended by a central angle of 57 degrees.
Answer: The length of an arc is 2.98 feet.
Step-by-step explanation:
Since we have given that
Radius of a circle = 3 feet
Angle subtended at the centre = 57°
We need to find the length of an arc:
As we know the formula for "Length of an arc":
[tex]Length=\dfrac{\theta}{360^\circ}\times 2\pi r\\\\Length=\dfrac{57}{360}\times 2\times \dfrac{22}{7}\times 3\\\\Length=2.98\ feet[/tex]
Hence, the length of an arc is 2.98 feet.
In 34 pound of a spice mix, there is 5/6 cup of cinnamon. How much cinnamon does the spice mix contain per pound? a 5/8 cup b 9/10 cup c 1 1/9 cups d 1 3/5 cups
Answer:
c. 1 1/9 cups
Step-by-step explanation:
To find cups per pound, divide cups by pounds.
(5/6 cup)/(3/4 pound) = (5/6)/(3/4) cup/pound
= (5/6)×(4/3) cup/pound . . . . . . . invert the denominator and multiply
= 20/18 cup/pound = 10/9 cup/pound = 1 1/9 cup/pound
Isaac drinks 8 glasses of water each day. He says he will drink 2,920 glasses of water in a year that has 365 days. Is the exact answer reasonable
multiply 365 by 8
365 * 8 = 2920
so yes it is reasonable
What are the coordinates of the vertex for f(x) = x2 + 4x + 10?
Answer:
The coordinates of the vertex are [tex] (-2, -6)[/tex]
Step-by-step explanation:
The graph of this function is a parabola that opens up in the Cartesian plane. We can find like this:
[tex]y = (x ^ 2 + 4x +4) +6 = (x + 2) ^ 2 +6[/tex], where, [tex](y - 6) = (x + 2) ^ 2[/tex]
In the canonical equation of the parabola:
[tex](y - k) = (x + h) ^ 2[/tex], with the point (h, k) as the vertex, [tex]h = -2[/tex] and [tex]k = 6[/tex].
Conclusion: the coordinates of the vertex are [tex](-2, -6)[/tex]
Solving Equations with Variables on Both Sides
1. (g+4) - 3g = 1 + g
g = 1
g = 4
no solution
identity
2. -6a + 3 = -3(2a - 1)
a=5
a=10
no solution
identity
3. 0.5b + 4 = 2(b+2)
b=0
b=0.5
no solution
identity
4. 8 -(3 + b) = b - 9
7
8
no solution
identity
A TV has a listed price of $607.95 before tax. If the sales tax rate is 8.75% , find the total cost of the TV with sales tax included.
Answer:
$661.15
Step-by-step explanation:
The addition of tax causes the price to be multiplied by (1+0.0875), so the final price is ...
$607.95×1.0875 ≈ $661.15
−2 is less than or equal to w , and 8 is greater than or equal to w Use w only once in your inequality.
3x-2=x
show work and check
The average person lives for about 78 years. Does the average person live for at least 1,000,000 minutes? (Hint: There are 365 days in each year, 24 hours in each day, and 60 minutes in each hour.)
Answer:
cool kkdkdkkdkkfkkfkfkd
A person standing 20 feet from a street light casts a 10 foot shadow. How many times taller is the streetlight than the person? Assume the triangles are similar.
a recipe makes a total of 5 cups a serving of pudding is 3/4 cup how many servings of pudding does the recipe make?
To find the number of servings of pudding the recipe makes, divide the total number of cups by the serving size. The recipe makes approximately 6.67 servings of pudding.
Explanation:To find the number of servings of pudding the recipe makes, divide the total number of cups by the serving size. In this case, the recipe makes 5 cups and each serving is 3/4 cup. So, to find the number of servings, divide 5 cups by 3/4 cup: 5 cups ÷ (3/4 cup) = 5 cups × (4/3 cup) = 20/3 servings
Therefore, the recipe makes approximately 6.67 servings of pudding.
Karen is riding her bike at 4 miles per hour she wants to show this on a graph what should she draw
Tammy is at the dentist's office waiting on her appointment. She notices that the 6-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle. Part 1: How many radians does the minute hand move from 1:20 to 1:55? (Hint: Find the number of degrees per minute first.)
Answer:
Part 1:
In order to find how many radians the minute hand moves from 1:20 to 1:55, we need to remember that there are 60 minutes in an hour (clock) and there are 360 degrees in the clock since the clock is a circle. After dividing 360 by 60, we find that each minute is equal to 6 degrees. After that, we can subtract the times, which tells us that there are 35 minutes between 1:20 and 1:55. Using this we can just multiply this out, to get 35 times 6, which is equal to 210 degrees. We can get our final answer by converting this into degrees. Since one 1 degree is about 0.0174, we can set up a proportion. After solving, we will get that the minutes hand moves 3.555 radians in total.
Doors for a small cabinets are 11.5 inches long. Doors for the large cabinets are 2.3 times as long as the doors for the small cabinets. How many large doors can be cut from a board that is 10.5 feet long?
The photography club has 28 members .there are 12 boys in the club . What is the ratio of boys to girls in simplest form?
a garden table and a bench cost $1,000 combined the cost of a garden table is three times the cost of the bench what is the cost of the bench.
When converted to speeds, which list is in order from slowest to fastest?
17 miles in 2 minutes;
26 miles in 4 minutes;
33 miles in 6 minutes;
60 miles in 8 minutes
17 miles in 2 minutes;
60 miles in 8 minutes;
26 miles in 4 minutes;
33 miles in 6 minutes
33 miles in 6 minutes;
26 miles in 4 minutes;
60 miles in 8 minutes;
17 miles in 2 minutes
60 miles in 8 minutes;
33 miles in 6 minutes;
26 miles in 4 minutes;
17 miles in 2 minutes
When converted to speeds, the list which is in order from slowest to fastest is:
1) 33 miles in 6 minutes
2) 26 miles in 4 minutes
3) 60 miles in 8 minutes
4) 17 miles in 2 minutes
Step-by-step explanation:We know that speed is defined as the ratio of distance and time.
Here we are given distance and time in each of the options and we will check the speed of each and arrange them in increasing order.
1)
33 miles in 6 minutes
The speed is:
[tex]\dfrac{33\ \text{miles}}{6\ \text{minutes}}=5.5\ \text{miles\ per\ minute}[/tex]
2)
26 miles in 4 minutes
The speed is:
[tex]\dfrac{26\ \text{miles}}{4\ \text{minutes}}=6.5\ \text{miles\ per\ minute}[/tex]
3)
60 miles in 8 minutes
The speed is:
[tex]\dfrac{60\ \text{miles}}{8\ \text{minutes}}=7.5\ \text{miles\ per\ minute}[/tex]
4)
17 miles in 2 minutes
The speed is:
[tex]\dfrac{17\ \text{miles}}{2\ \text{minutes}}=8.5\ \text{miles\ per\ minute}[/tex]
Since,
[tex]5.5\ \text{miles\ per\ minute}<6.5\ \text{miles\ per\ minute}<7.5\ \text{miles\ per\ minute}<8.5\ \text{miles\ per\ minute}[/tex]
Hence, the increasing order of speed is:
1→2→3→4
Jane can pack 48 shirts into each box. round to the nearest compatible numbers to estimate how many boxes she will need to box 1,453 shirts
Answer: There are 30 boxes for 1453 shirts.
Step-by-step explanation:
Since we have given that
Number of shirts = 48
Number of box for 48 shirts = 1
We need to adjust number of boxes she will need to box 1453 shirts.
So, number of boxes would be
[tex]\dfrac{1453}{48}\\\\=30.27\\\\\approx 30[/tex]
Hence, there are 30 boxes for 1453 shirts.
Will Reward Brainliest!
One of the angles formed by two intersecting lines is 42°. What is the measure of the other three angles?
Answer:
42, 138, 138
Step-by-step explanation:
How much does mike earn at fresh foods if he works 20 hours ? 40 hourss ? 60 hours ? when mike gets paid 10 per hour
A pond at a hotel 4,290 gallons of water. The groundskeeper drains the pond at a rate of 78 gallons of water per hour. How long will it take to drain the pond?
divide total gallons by rate:
4290 / 78 = 55 hours
Let c be parametrized by x = et sin (10t) and y = et cos (10t) for 0 ≤ t ≤ 2. find the length l of
c. l = 2 correct: your answer is correct.
To find the length of the curve c parameterized by given equations, we differentiate these equations with respect to t, find the magnitude of the derivative vector, and integrate this magnitude from t = 0 to t = 2.
Explanation:Finding the Length of Parametrized CurveTo find the length L of a curve c parametrized by x = et sin(10t) and y = et cos(10t) for 0 ≤ t ≤ 2, we use the formula for the arc length of a curve given in parametric form. The formula is L = ∫ |c'(t)| dt, where |c'(t)| represents the magnitude of the derivative of the parametric equations. The integral is evaluated over the given interval of t.
Step-by-step ExplanationFirst, compute the derivatives of the parametric equations: dx/dt and dy/dt.Next, find the magnitude of the velocity vector |c'(t)| = sqrt((dx/dt)^2 + (dy/dt)^2).Finally, integrate |c'(t)| from t = 0 to t = 2.Using this approach, we find that the length L of the curve c over the interval from 0 to 2 is indeed 2, as verified by the calculus of parametric functions.
at a school pep rally, the ratio of students who wore red to those who wore yellow is 7 to 3. There are 300 students at the pep rally, and each student wore either red or yellow. How many more students wore red?
20 randomly selected statistics students were given 15 multiple-choice questions and 15 open-ended questions - all on the same material. the professor was interested in determining which type of questions the students scored higher. this experiment is an example of a one sample test of means. a two sample test of means. a paired t-test. a test of proportions.
circle P had a circumference of approximately 75 inches. what is the approximate of the radius ,r? use 3.14 for
Answer:
1) 12in
Step-by-step explanation:
The circumference is 75, so to find the diameter you have to divide 75 by 3.14. You get 24 approximately. Then divide the diameter by 2, so 24/2=12.
3.1666666667 as a fraction
Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes y= 1/2 x− 3/2
The x-intercept would be, (3,0). And the y-intercept would be, (0,-3/2).