The number of sundaes they can serve with 7 cups of sprinkles is 56.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Matt's Ice Cream Shoppe has 7 cups of sprinkles to use on sundaes for the rest of the day.
Number of sundaes = Total quantity of sprinkles/Number of cups of sprinkles in each serving
= 7÷ 1/8
= 7×8
= 56
Therefore, the number of sundaes they can serve with 7 cups of sprinkles is 56.
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A 3 lb bag of one brand of cat food costs $3.52. A 6 lb bag of another brand costs $6.80. Which brand is cheaper per pound?
Which of the following will typically offer the lowest interest rate?
A. Basic savings
B. Certificate of deposit
C. Savings bond
D. Money market savings
@countonme123 @sara17,
Your sock drawer has 3 pairs of black socks, 4 pairs of brown socks, 1 pair of yellow socks and 5 pairs of blue socks. you reach into the drawer in the dark and randomly pick out 2 pairs for your business trip. what is the probability your pick out in this order. 2 black pairs?
The probability your pick out in this order 2 black pairs 1/26.
What is the probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Mathematics to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory.
According to the question,
The sock drawer has 3 pairs of black socks, 4 pairs of brown socks, 1 pair of yellow socks and 5 pairs of blue socks.
All socks together = 3+4+5 = 13
Black socks = 3
Probability to pick out black socks: 3/13
After one pick out (You picked out a pair of black socks),
Probability to pick out black socks: 2/12
Then, the probability = 2/12 × 3/13 = 1/26.
Hence the required probability = 2/12 × 3/13 = 1/26.
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Will give Metal! From 1948 to 1994, South Africa existed under a system of apartheid. Under this system, white South Africans- about 18% of the population- controlled all of the instruments of government: the Parliament, the Executive Branch, and the courts. Black and non-white South Africans had few legal rights and could not vote in elections. Voting was limited to white South African citizens. . This passage is describing what type of government? A) autocratic B) democratic C) dictatorship D) oligarchic,
HELP WITH THESE SERIES OF QUESTIONS!!
1. Factor the polynomial. 3x^3 − 27x^2 + 19
2. Factor the polynomial. 15z^3 + 25z^2
3. Factor the polynomial. 9x^7 + 33x^3
If mike drank more than half the juice inhis glass.what fraction of the juice could mike have drunk.
An explosion causes debris to rise vertically with an initial velocity of 160 feet per second. What is the speed of debris when the height is 300 feet?
I am using the formula: -16t^2 + vot + h0 because the question is referring to feet.
The speed of the debris is 79.4 ft/s
Calculation of the speed:Since there is an initial velocity of 160 feet per second, height is 300feet
So, we applied the below formula
[tex]v_({final})^2 = v_({initial})^2 + 2ah\\\\ v_({fina})l^2 = (160 ft/s)^2 + 2(-32.15 ft/s^2)(300 ft)\\\\ = 6310 ft^2/s^2\\\\ = (6310 ft^2/s^2)^{1/2}\\\\ = 79.4 ft/s.[/tex]
Therefore, The speed of the debris is 79.4 ft/s
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help!!!!!!! please !!!!!!!
A system of inequalities is graphed below. The variable x represents the number of cans someone is buying, and y represents the number of bottles. Conditions on the maximum amount of total weight and volume lead to two of the inequalities.
Which descriptions correspond to solutions of this system?
7 cans and 140 bottles
12 cans and 40 bottles
8 cans and 120 bottles
9 cans and 70 bottles
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Which solid has six faces, four lateral faces, two bases, eight vertices, and 12 edges? square pyramid triangular prism rectangular prism triangular pyramid
Answer:
Rectangular Prism
Step-by-step explanation:
What is the graph of the function f(x) = the quantity of x plus 4, all over x plus 6?
solve for X
This is 10th grade Geometery (USA)
What is the inverse of f(x) = 8x - 7
The inverse of the function f(x) = 8x - 7 can be found by switching the x and y, then solving for y. This gives the inverse function as f^-1(x) = (x + 7) / 8.
Explanation:The inverse of a function is calculated by switching the input and output variables. Given your question, we are to find the inverse of the function f(x) = 8x - 7. To do this, we first rename f(x) as y, giving us y = 8x - 7.
Next, we switch the positions of x and y, leading to x = 8y - 7. Then, to isolate y which represents the inverse function, we should solve the equation for y: x + 7 = 8y and y = (x + 7) / 8. So, the inverse of the function f(x) = 8x - 7 is f^-1(x) = (x + 7) / 8.
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what is the inverse and then graph the function and its inverse f(×)=-5n-14
solving the whole thing
the distance between between two distinct points on number line is always greater than zero?
true or flase,
Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank) (4 points)
Tropical forests are being lost at the rate of 5 million hectares per year. how many hectares per day is that? how many hectares per minute?
Answer ASAP
Find the area
In this problem, you are asked to find the area of the trapezoid. The formula in finding the area of the trapezoid is:
A = [(a + b)/2] x h
Where a = base 1
b = base 2
h = height
Substituting the given measurements to the formula:
A = [(1.7 m + 6.7 m) / 2] x 5 m
A = (8.4 m / 2) x 5 m
A = 4.2 m x 5 m
A = 21 m^2
Therefore, the area of the trapezoid is 21 square meters.
Which statement below completes Anastasia's proof?
In triangle ADC and BCD, AB = DC (opposite sides of a rectangle are congruent)
In triangle ADC and BCD, AB = DC (opposite sides of a rectangle are parallel)
In triangle ADC and BCD, AD = BC (opposite sides of a rectangle are congruent)
In triangle ADC and BCD, AD = BC (opposite sides of a rectangle are parallel)
are the statments
On each of 3 days Derrick rode 6.45 km to school 150 meters to the library and then 500 m back home how many km did he ride for the three days all together
Help please, explain each step or no points.
Select the ratios whose simplest form is 8/7
Answer:
48:42
16:14
56:49
Step-by-step explanation:
I hope I made your day
Glamour runs 2/3 mile each day she wants to know how many days she has to run before she has run a whole number of miles
Great Dish believes that it will need new equipment in 8 years. The equipment will cost $26,000. What lump sum should be invested today at 12%, compounded semiannually, to yield $26,000? a. $20,186.02 c. $16,388.00 b. $16,145.82 d. $10,234.80
Answer:
d. $10,234.80
Step-by-step explanation:
we are given
The equipment will cost $26,000
so, Amount is $26000
A=26000
should be invested today at 12%
r=12%=0.12
It is compounded semiannually
so, n=2
t=8
now, we can use formula
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
now, we can plug values
[tex]26000=P(1+\frac{0.12}{2})^{2\times 8}[/tex]
now, we can solve for P
[tex]P=10234.80338[/tex]
If 1 inch represents 75 miles on a map, then how many inches will represent 1500 miles? a. 10 c. 12 b. 20 d. 14
what is 62% of 25 ?
im horrible at this plz help
1. _____is when an asset increases in value.
~depreciation
~appreciation
~inflation
~purchasing power
2. when money loses some of its value over time, it is caused by_____
-inflation
-FICA
-purchasing power
-recalculating worth
ive tried i need help @bibby @phi someone :( @SolomonZelman,
1) Appreciation is when an asset increases in value.
2) When money loses some of its value over time, it is caused by inflation
The appreciating assets is any asset which value is increasing it is a an increased demand.
Therefore,
When value of assets increases in value?
Appreciation
1) Appreciation is when an asset increases in value.
Next,
The impact inflation has on the time value of money is that decrease the value of dollar over time.
Therefore,
2) When money loses some of its value over time, it is caused by inflation
Therefore,
1) Appreciation is when an asset increases in value.
2) When money loses some of its value over time, it is caused by inflation
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1. Let f(x)=8/1+3e^−0.7x. What is the value of f (−3)?
2. Let f(x)=20/1+9e^3x. What is the y-intercept of the graph of f(x)?
3. Let f(x)=24/1+3e^−1.3x. What are the asymptotes of the graph of f(x)?
4. Let f(x)=15/1+4e^−0.2x. What is the point of maximum growth rate for the logistic function f(x)?
5. Let f(x)=24/1+3e^−1.3x. Over what interval is the growth rate of the function decreasing?
This detailed answer covers evaluating functions at specified values, identifying the y-intercept of a function's graph, determining asymptotes, identifying points of maximum growth rate in logistic functions, and intervals where the function's growth rate is decreasing, all critical concepts in understanding mathematical functions in high school.
Explanation:The questions provided are focused on evaluating specific values of functions, understanding the y-intercept of a graph, determining asymptotes, identifying points of maximum growth rate, and assessing intervals of decreasing growth rate for various exponential and logistic functions. Each of these concepts plays a crucial role in understanding the behaviors and characteristics of different types of mathematical functions, which are fundamental in high school mathematics.
To find f(-3) for the function f(x)=8/(1+3e^{-0.7x}), substitute x=-3 and evaluate.The y-intercept of a graph is found by evaluating the function at x=0.Asymptotes can be determined by evaluating the limits of the function as x approaches infinity or negative infinity.The point of maximum growth rate for a logistic function occurs at the point where the function's second derivative changes sign.The growth rate is decreasing over intervals where the second derivative of the function is negative.