Pedro requires [tex]1\frac{1}{2}[/tex] cups oatmeal for a single batch of granola bars as calculated by division of fractions.
A fraction is a piece of a whole or, to put it more broadly, any number of equal portions.
The Latin word fractus, which means "broken," is where the word fraction originates.A fraction, such as one-half, eight-fifths, or three-quarters, indicates the number of components of a particular size as it is represented in common English. There is a non-zero denominator and a common, or simple fraction below (or after) that line.Compound fractions, mixed numeral fractions, and difficult fractions are examples of uncommon fractions that use numerators and denominators.Total batches required [tex]= 3 \frac{1}{2} = \frac{7}{2} = \frac{14}{4}[/tex] cups
Total oatmeal required [tex]= 5 \frac{1}{4} =\frac{21}{4}[/tex] cups
Therefore now to calculate the amount of oatmeal needed for single
batch we divide the fraction [tex]\frac{21}{4}[/tex] by [tex]\frac{14}{4}[/tex] cups
1 batch requires = [tex]=\frac{21}{4}\div\frac{14}{4}=\frac{3}{2} = 1\frac{1}{2}[/tex] cups.
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write 15/7 as a mixed number
The result can be shown in multiple forms.
Exact Form:
15/7
Decimal Form:
2.142857
Mixed Number Form:
2 1/7
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Usually I try to explain what to do, but it's been a hot second from when I learned this. I uploaded a picture that might help.
This is a free tool for solving math problems if you ever need help: (no spaces or exclamation point) mat h way . co!m
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much love <333 good bye!!
If the sum of a number and two is tripled, the result is five less than twice the number . Find the number
If the sum of a number and two is tripled, the result is five less than twice the number, the number is - 11
Let the given number be x,
the number, x is added with 2 and then it is tripled which means (x + 2)*3 is equal to five less than two times of that number which is 2x - 5
3(x + 2) = 2x - 5
3x + 6 = 2x - 5
3x - 2x = - 5 + (-6)
x = - 11
Therefore, If the sum of a number and two is tripled, the result is five less than twice the number, the number is - 11
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A recent study of 50 U.S. chess players details such things as the number of years the players have been active and the chess ratings of the 50 players. (A chess rating is a number, with a higher number indicating greater expertise.) The chess rating data for the sample of 50 players are summarized in the following histogram.
Using the given histogram, we have that 90% of the players in the sample have scores that are less than 2300.
What is the missing information?This problem is incomplete, but researching it on a search engine, we have that the histogram states as follows:
6 of these players have scores between 300 and 700.6 of these players have scores between 700 and 1100.13 of these players have scores between 1100 and 1500.14 of these players have scores between 1500 and 1900.6 of these players have scores between 1900 and 1300.5 of these players have scores between 2300 and 2700.It asks the proportion of players in the sample with scores that are less than 2300.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
Above, we already gave the amounts presented by histogram, and we have that 45 out of 50 players have scores that are less than 2300, hence the proportion is given by:
p = 45/50 = 0.9.
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the difference of a number and eight is four. Find the number.
Which is bigger, 16\frac{1}{6}
6
1
or 0.16? Explain your reasoning.
Answer:
1/6 is greater than 0.16
Step-by-step explanation:
0.16 as a fraction is 4/25
4/25 < 1/6
(33) MOVIES Chaz has a collection of 15 movies downloaded on his media player. He decides to download 3 more movies each month. The function M(t) = 15 + 3t counts
the number of movies M(t) he has after t months. How many movies will he have after
8 months?
Answer: 39
Step-by-step explanation: 15 is the number of movies he has already. The t in the formula stands for months. So simply plug in 8 for t because we want to know how much has has after 8 months
15+3(8)
15+24
=39
Dave took an exam with 40 questions. He answered 32 correctly. What
was his grade for the exam? Write the grade as a percent.
www
% (Round to the nearest percent as needed.)
Step-by-step explanation:
40 = 100%
1% = 100%/100 = 40/100 = 0.4
how many % are 32 ?
as many % as 1% (0.4) can fit into 32 :
32 / 0.4 = 80%
his grade was 80%.
how many tablespoons are there in fluid ounces
Answer:
6
Step-by-step explanation:
There are six teaspoons in one fluid ounce - lots of conversion sites out there to get more info if needed.
Determine whether the equation defines y as a function of x. y equals = 8 Over x Does the equation define y as a function of x?
Yes , the equation y =8ˣ defines y as a function of x.
An mathematical function could be a function within the kind f (x) = aˣ, wherever “x” could be a variable and “a” could be a constant that is termed the bottom of the perform and it ought to be bigger than zero.An mathematical function is outlined by the formula f(x) = aˣ, wherever the input variable x happens as a fan. The graph depends on the mathematical function and it depends on the worth of the x.Yes, because to fulfill the condition of an equation to be a function, a particular value of x must produce only one value of y and y =8ˣ fulfills the condition. This can be also tested using horizontal line test, which only cuts the graph at one point only,
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Write an equation letting
x
be the unknown number.
two subtracted from a number is 2.
Answer: x-2=2 (x=4)
Step-by-step explanation:
4 minus 2 equals 2
Which of the following is a true statement?
a. Only option A will allow them to meet their goal.
b. Only option B will allow them to meet their goal.
c. Saving by either option A or option B will allow them to meet their goal.
d. Neither option A nor option B will allow them to meet their goal.
The true statement is c. Saving by either option A or option B will allow them to meet their goal.
What is a true statement?A true statement can be described as the statement that that the message is been stated or declared which could be in a communication (oral or written) in setting forth particulars or facts.
In this case, we can see that true statement is c. Saving by either option A or option B will allow them to meet their goal this is because we can see a fact from how both option present their words.
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COMPLETE QUESTION:
Option A: Stay with saving the original amount each week but take the class a week later than originally planned.
Option B: Increase the amount of money he saves each week by $15 from his original plan.
9. A submarine is 140 ft
below sea level. It rose 30 ft.
What integer describes the
new depth of the submarine?
Answer:
it's easy if you set your mind to it, think about it angain
Can somone help me with thisASAP
What is the turning point of the graph of f(x)=|x|+4 ?
(0, −4)
(0, 4)
(4, 0)
(−4, 0)
The turning point is the point where the function changes its slope for the given mode function f(x)=|x|+4 the turning point is at (0,4) so option (B) will be correct.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
The graph is easy to understand behavior of the graph.
Given the mode function,
f(x)=|x|+4
For x < 0 the function f(x) will be
f(x) = -x + 4
For x > 0 the function f(x) will be
f(x) = x + 4
Now,
Slope at x < 0 → f'(x) = -1
Slope at x > 0 → f'(x) = +1
Since the slope is changing at x = 0 there fore x = 0 will be the turning point of the graph.
Hence "The turning point of the given mode function f(x)=|x|+4 will be at x = 0".
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6 less the quantity 9 times a number
Answer:
6-9x
Step-by-step explanation:
Converted from word to standard form.
Hope it helps!
The length of a rectangle is 4 units greater than its width, and the area of the rectangle can be
expressed by the equation y = x + 4x. What is a reasonable domain for this function?
O
O
O
O
A y>0
By> 4
C X>0
D X> 2
The reasonable domain for this function is [tex](x > 0)[/tex] .
The collection of all feasible values for the independent variable is referred to as a function's domain.
When we substitute different values for the independent variable from the domain, the dependent variable's range refers to the set of all conceivable values for that variable.
Let the width of the rectangle be x units.
Thus as per given information length becomes x+4 units.
It is given, the area of rectangle can be expressed by the equation
[tex]y=x^{2} +4x[/tex]
Now let's find domain of this function.
clearly x cannot be zero and x cannot be negative because x represents the width of the rectangle and the width of a rectangle cannot be zero or negative.
Therefore the domain of the function is
[tex](0,\infty)[/tex] or x>0 .
Therefore the domain is given by the thirds option (c) x>0 .
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PLS HELP THANK YOU VERY MUCH
Given AB, explain how to construct a square with sides of length AB.
Answer:
because it is a square, you just need to make a square with the side lenghts all being a or b
Step-by-step explanation:
Write the ratio as a fraction in lowest terms.
48 minutes to 3 hours
Answer: 4/15
Step-by-step explanation:
3 hours=
3*60 minutes=180 minutes
48:180=
(24*2):(90*2)=
(12*2*2):(45*2*2)=
(4*3*2*2):(15*3*2*2)=4/15
Why do banks charge a fee when clients transact on their accounts?
Answer:
Banks charge fees to help make a profit.
Step-by-step explanation:
Bank fees allow financial institutions to recoup operating expenses. Banks also make money on loans, via interest and other fees.
one cubic foot holds 7.48 gallons of water and one gallon of water 8.33 pounds. How much does 5.1 cubic ft of water weigh in pounds? In tons?
The 5.1 cubic ft of water weighs 317.77 pounds
The weight of 5.1 cubic ft of water in tons is 0.16 tons
Calculating weightFrom the question, we are to calculate how much 5.1 cubic ft of water weigh in pounds
From the given information,
"one cubic foot holds 7.48 gallons of water"
Therefore,
5.1 cubic ft of water = 5.1 × 7.48 gallons of water
= 38.148 gallons of water
Also,
"one gallon of water 8.33 pounds"
That is,
38.148 gallons of water = 38.148 × 8.33 pounds
= 317.77 pounds
Thus, 5.1 cubic ft of water weigh 317.77 pounds
For the weight in tons
NOTE: 1 pounds = 0.0005 tons
∴ 317.77 pounds = 0.0005 × 317.77 tons
= 0.158886 tons
≈ 0.16 tons
Hence, the weight of 5.1 cubic ft of water in tons is 0.16 tons
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Please help!! It’s due today!!
Answer:
A to B: 4
B to A: 1/4
Use dimensional analysis to solve the following conversions. Be sure to show all work and answer with the correct number of significant figures. Please help!!
By using dimensional analysis we find the following two results:
a) 0.30 m = 0.984 ft
b) 150 km / h = 1.554 mi / h
How to use dimensional analysisIn this problem we must find a quantity of a given unit that is equivalent to another value of another unit of the same kind. For instance, we must look up for the quantity in a unit length equivalent to another quantity in another unit length. Now we proceed to obtain all the equivalencies by simple rule of three:
a) 0.30 m × (1 ft / 0.3048 m) = 0.984 ft
b) 150 km / h × (1 mi / 1.609 km) × (1 h / 60 min) = 1.554 mi / h
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PACKS
(MP) Attend to Precision Write the numbers 108,567;
107,658; and 107,568 in order from least to greatest.
The arrangement is as follows 107,568 ; 107,658 ; 108,567
What is ascending order?Ascending order is an arrangement from smallest to largest value.
Given:
108,567; 107,658; and 107,568
We have to arrange these numbers from least to greatest
smallest number = 107,568
largest number = 108,567
Hence, the arrangement is 107,568 ; 107,658 ; 108,567
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The cost y (in cents) of producing x gallons of Ectoplasm hair gel is given by the cost equation y2 − 10xy = 200. Evaluate dy dx at x = 1. (Round your answer to two decimal places.)
The value of dy/dx at x = 1 is mathematically given as
dy/dx=5-1.8898i
This is further explained below.
What is the value of dy/dx at x = 1 ?Generally, Given that cost y of producing x gallons ag an implicit evaluation
y^2-10 x y=200
Differentiate the above equation as
[tex]\begin{aligned}&2 y y^{\prime}-10 y-10 x y^{\prime}=0 \\&y^{\prime}(2 y-10 x)=10 y \\&y^{\prime}=\frac{10 y}{2 y-70 x}=\frac{5 y}{y-5 x}\end{aligned}[/tex]
when x=1, substitute in the given equation to get y value
y^2-10 y=200
or
y=5+13.2288i
y=5−13.2288i
y represents the cost and hence cannot be negative Hence practical solution for y is y=5+13.2288i substitute in the ' y ' equation to get [tex]$\frac{d y}{d x}$ at $x=1$[/tex]
when x=13 y=5+13.2288i
Hence
d y/d x at x=1 will be
dy/dx[tex]=\frac{5(5+13.2288i)}{5+13.2288i-5}[/tex]
[tex]dy/dx=\frac{25+66.144}{13.2288i}[/tex]
dy/dx=5-1.8898i
In conclusion, the value of dy/dx at x = 1 i
dy/dx=5-1.8898i
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35) A family is planning an annual picnic in Arizona. Rain is forecast for 45 days of the year, but when
rain is forecast, the prediction is correct only 90% of the time. What is the probability that it will rain on
the day of the picnic? Note that it is not a leap year.
Answer:
81/730
Step-by-step explanation:
The chance of picking a day forecasted to have no rain is 45/365.
There is a 90% chance it actually rains on this day, so the probability is
[tex](45/365)(0.9)=81/730[/tex]
Identify the values of a, b, and c that could be used with the quadratic formula to solve the equation. Enter a as a positive
integer value.
x²=8(x-5)
Answer:
See below
Step-by-step explanation:
Expand to get x^2 - 8x + 40 = 0
a = 1 b = -8 c = 40
a 42 inch string is to be cut so that one piece is 7 inches longer than the other. what is the length of the shorter piece?
Answer:
17.5 inches
Step-by-step explanation:
Let the length of the shorter piece be x
Shorter piece + Longer piece = Whole string
x + (x + 7) = 42
x + x + 7 = 42
Both sides minus 7 to remove the 7 from the left side of the equation.
2x + 7 - 7 = 42 - 7
2x = 35
x = 17.5 inches
Hope this helped! ^^
Question 2 of 10 Suppose a population consists of 5000 people. Which of the following numbers of members of the population being surveyed could result in a sample statistic but not a parameter ? A. Both 50 and 5000 B. 50 C. Neither 50 nor 5000 D. 5000
Out of the population being surveyed, the one that could result in a sample statistic but not a parameter is; B: 50
What is the Sample Statistic?
A sample statistic is a piece of information you get from a fraction of a population.
A parameter is a number describing a whole population (e.g., population mean), while a statistic is a number describing a sample (e.g., sample mean).
Now, we are told that a population consists of 5000 people. This means that the sample statistic could be the sample mean which could be 50 but certainly not 5000 as the sample statistic can't be same as the population.
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ITS DUEE TODAY PLEASEDE
Answer:
scale factor from A to B = 3
Step-by-step explanation:
the scale factor is the ratio of corresponding sides, image to original
scale factor = [tex]\frac{9}{3}[/tex] = 3 ( measure of horizontal sides )
How many board feet of wood are there in 750-2 x 10-16'?
Answer:
Step-by-step explanation:
Newton’s law of cooling describes the rate at which an exposed body changes temperature through radiation which is approximately proportional to the difference between the object’s temperature and its surroundings, provided the difference is small.
Definition: According to Newton’s law of cooling, the rate of loss of heat from a body is directly proportional to the difference in the temperature of the body and its surroundings.
Answer:
Radioactivity is the phenomenon of the spontaneous disintegration of unstable atomic nuclei to atomic nuclei to form more energetically stable atomic nuclei. Radioactive decay is a highly exoergic, statistically random, first-order process that occurs with a small amount of mass being converted to energy. Since it is a first-order process, each radioactive species is characterized by its own half-life, the length of time in which an initially very large number of such nuclei will have decayed to only half the original number.
Step-by-step explanation:
By which angle measures can the regular pentagon be rotated so it maps onto itself? Select each correct answer. 72° 72° 90° 90° 135° 135° 144° 144° 216° 216° 300°
The regular pentagon can be rotated through at angles of 72, 144°, 216°, and 288° to map it onto itself.
What is a regular polygon?A polygon is a two-dimensional geometric shape having a finite number of sides. Single-direction segments are connected end to end to make a closed shape on the sides or edges of polygons. The locations where two line segments converge to construct an angle are referred to as vertices or corners.
It is given that:
The pentagon has five sides.
As we know, the standard pentagon has five vertices and internal angles that are each 72 degrees. A regular pentagon also possesses rotational symmetry.
The angles are 72°.144°,216°, and 288°.
Thus, the regular pentagon can be rotated through at angles of 72, 144°, 216°, and 288° to map it onto itself.
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