Anthony makes candies. First, he mixes 1 cup of cream with 2 cups of chocolate. In all, he used 9 cups of these 2 ingredients. How many cups of chocolate does he use in this candy recipe?
Answers
Answer:
6 cups
Step-by-step explanation:
Anthony's recipe uses 2 cups of chocolate for each 3 cups of the two ingredients. So, the chocolate is 2/3 of the total number of cups of the two ingredients.
2/3 × 9 cups = 6 cups
Anthony uses 6 cups of chocolate to make the candies.
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NEED HELP ASAP!!!!The steps below show the work of a student used to calculate the number of yards in 6,436 meters.(1 mile = 1,609 meters)(1 mile = 1,760 yards)Step 1: 6,436 meters multiplied by conversion factor 1 mile over 1,609 meters equals 4 milesStep 2: conversion factor of 1,760 yards over 1 mile divided by 4 miles equals 440 yardsStep 3: 440 yards(1 mile = 1,609 meters)(1 mile = 1,760 yards)How can the error in the student's work be corrected? (1 point)aThe 6,436 meters and the 1,609 meters in Step 1 should be switched.bThe 1 mile and the 1,609 meters in Step 1 should be switched.cThe conversion factor should be multiplied in Step 2 instead of being divided.dThe conversion factor should be added in Step 2 instead of being divided.
Answers
Answer:
Step-by-step explanation:
Average height = 176.55 cm
Height of tallest man = 249 cm
Standard deviation = 7.23
z score of tallest man
= (249 - 176.55) / 7.23
= 10.02
Average height = 176.55 cm
Height of shortest man = 120.2 cm
Standard deviation = 7.23
z score of smallest man
= ( 176.55 - 120.2 ) / 7.23
= 7.79
Since Z - score of tallest man is more , his height was more extreme .
Answers
Answer:
There are 14 horses and 21 chickens.
Step-by-step explanation:
First, you have to make expression for horse and chicken. So we can let x be the number of horses and y will be the number of chickens. Next, given that the total number of feet for both animals is 98 so you have to make simultaneous equation :
(horse has 4 feet and chicken has 2 feet)
There are a total of 35 heads so the other equation will be :
Lastly, you have to solve it :
Answers
Answer: 380000 cells/hour
Step-by-step explanation:
Given that dP/dt = 0.19P(t)
where
P(t) is the size of the culture (measured in millions of cells) at time t > 0 (measured in hours).
The formula above represents a mathematical model for the growth of a certain cell culture. In essence, it represents the time rate of the growth of the cell culture, that is how fast the cell culture is growing.
Therefore, when P = 2 million cells:
dP/dt = 0.19 * 2000000 = 380000 cells/hour
Hence, the cell culture is growing at 380000 cells per hour.
Final answer:
The cell culture is growing at a rate of 0.38 million cells per hour when the size of the culture reaches 2 million cells. This is based on the given differential equation dP/dt = 0.19P(t).
Explanation:
This problem is associated with the concept of differential equations, particularly exponential growth. In this scenario, the rate of change of P(t), the size of the cell culture, is given by the equation dP/dt = 0.19P(t). This can be interpreted as the culture is growing at 19% per unit of time.
To determine how fast the culture is growing when P(t) equals 2 million cells, we need to substitute 2 for P(t) in the given equation: dP/dt = 0.19*2. This calculation returns a value of 0.38 million cells per hour. Therefore, when the size of the culture reaches 2 million cells, it is growing at a rate of 0.38 million cells per hour.
Learn more about Exponential Growth
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twice a number and four.
Answers
The required expression for Nine less than the quotient of twice a number and four gives the equation, y =2x/4 - 9.
An expression Nine less than the quotient of twice a number and four. is to be determined.
What is simplification?
The process in mathematics to operate and interpret the function to make the function simple or more understandableis called simplify and the process is called simplification.
The quotient is the result when one value gets divided by some other value.
Using simple arithmetic,
Let the number be x,
A number y is equal to nine less than the quotient of twice of x and four. So,
y = quotient of 2x and four - 9
y = 2x/4 - 9
Thus, the required expression for Nine less than the quotient of twice a number and four gives the equation, y =2x/4 - 9.
Learn more about simplification here: brainly.com/question/12501526
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Answer:
-1
Step-by-step explanation:
Twice a number of 4 equals 8
4×2=8
less than 9 of the quotient (answer) of twice a number of 4, is -1
8-9= -1
Answers
Answer:
(Choice A) A graph of an increasing linear function in quadrant 1 with a positive y-intercept.
Step-by-step explanation:
The weight of the sumo wrestler starts at a positive value of 79.5 kilograms, and we are given that the sumo wrestler gains a linear amount of weight per month at 5.5 kilograms per month.
If we were to graph this relationship, the sumo wrestler's weight would be represented on the y-axis, and the amount of time on the x-axis.
So the initial weight would occur at (0, 79.5) which is the positive y-intercept.
And since his weight is increasing at 5.5 kilograms per month, the slope of the linear function is positive.
Hence, the graph of the linear increasing function in quadrant 1 with a positive y-intercept.
Cheers.
Answers
(1.5- .25= 1.25)
Answer:
1.25
Step-by-step explanation: