To find out how much vegetable oil Michelle will use, you need to multiply 2 1/2 by 2/3, giving us approximately 1 2/3 cups. The rest will be substituted with applesauce which is approximately 5/6 cups.
Explanation:In this scenario, Michelle has a recipe that requires 2 1/2 cups of vegetable oil. She wants to use only 2/3 of the total vegetable oil, and use applesauce for the rest. To find out how much vegetable oil she will use, you need to multiply 2 1/2 by 2/3.
But before that, you need to convert 2 1/2 into an improper fraction, where 2 1/2 is equivalent to 5/2. So, the total amount of vegetable oil Michelle will use can be calculated as follows: (5/2) *(2/3) = 10/6 = 5/3 cups.
This means Michelle will use approximately 1 2/3 cups of vegetable oil. To find out the rest of the substitute in applesauce, simply subtract 1 2/3 from 2 1/2. This equals to approximately 5/6 cups of applesauce.
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Michelle will use 1 2/3 cups of vegetable oil for her recipe and replace the remaining amount with 5/6 cup of applesauce.
Michelle needs to calculate the amount of vegetable oil to use if she wants to use 2/3 of the amount specified in the recipe, and then find how much applesauce to replace the rest of the oil. The original recipe calls for 2 1/2 cups of oil. Firstly, calculate 2/3 of 2 1/2 cups:
Convert 2 1/2 to an improper fraction, which is 5/2.
Multiply 5/2 by 2/3 to find 2/3 of the mixture, which equals (5/2) × (2/3) = 5/3, or 1 2/3 cups.
This is the amount of vegetable oil Michelle will use. Now for the applesauce:
Subtract 1 2/3 cups from 2 1/2 cups to find the amount to replace with applesauce: 2 1/2 - 1 2/3 = 5/2 - 5/3 = 15/6 - 10/6 = 5/6.
Michelle will use 1 2/3 cups of vegetable oil and 5/6 cup of applesauce.
Which statement shows that 5.78 is a rational number?
A. 5.78=5.787878
B. 5.78=5.78
C. 5.78=5 26/45
D. 5.78=5 26/33
Answer:
B
Step-by-step explanation:
because 5.78 can be written as a fraction:- 5 78/100 or 5 39/50
C and D do not equate to 5.78
Answer:
A. [tex]5.78=5.787878[/tex]
Step-by-step explanation:
We have been given a number 5.78. We are asked to choose the correct statement which shows that 5.78 is a rational number.
Upon looking at our given choices, we can see that only option A is the correct choice as it has repeating digits (78) after decimal.
We know that a number with repeating decimals can be written as a fraction, therefore, option A is the correct choice.
Without multiplying, determine whether the product of 5x4/5 is located at the number line at point A, B, or C. Explain your reasoning.
Given the formula for the perimeter of a rectangle where l represents the length and w represents the width. 2(l + w) What does the 2 represent in this formula? A) The 2 represents the perimeter. B) The 2 represents the two width pairs. C) The 2 represents the two length pairs. D) The 2 represents the two sets of length and width pairs.
The 2
A rectagle has 4 sides. There are 2 lengths and 2 widths.
The would be written like this to start with
P = L + L + W + W
P = 2L + 2W Using the distributive property 2 can be taken outside the brackets
P = (2L + 2W)
P = 2(L + W) You have shown how the 4 sides can be written more efficiently.
The answer is D <<< Answer
All tests for the first six chapters of a textbook had 20–30 questions. The chapter 7 test will be given tomorrow. What reasonable conclusion can you make?
The chapter 7 test will have 20-30 questions on it. Novanet!
Answer:
We can conclude that the chapter 7 test will also have 20-30 questions on it.
Step-by-step explanation:
All tests for the first six chapters of a textbook had 20–30 questions.
The chapter 7 test will be given tomorrow.
Hence, based on reasoning, we can say that the chapter 7 test can also have 20-30 questions in it.
The probability is also high as all the 6 previous tests had 20 to 30 questions. Hence, it is very likely that the 7th test will also have same number of questions.
You can peel 4 potatoes in 10 minutes. How long will it take you to peel 14 potatoes?
It would take you 35 minutes.
Since it takes 10 minutes to peel 4 potatoes, you can assume it would take 30 minutes to peel 12 potatoes (mulitiplying both numbers by 3). Then you'd add 5, instead of 10 because you are peeling 2 more potatoes than 12, instead of peeling 4, you'd divide 10 by 2 to get half the time it would take to peel half as many potatoes. Finally, add 30 and 5 to get you final answer of 35.
I hope this helps!
It will take 35 minutes to peel 14 potatoes, as it takes 2.5 minutes to peel one potato.
Since you can peel 4 potatoes in 10 minutes, this means that you can peel one potato in 10/4 minutes, or 2.5 minutes per potato. To peel 14 potatoes, we would multiply the time it takes to peel one potato by the number of potatoes: 2.5 minutes * 14.
2.5 minutes * 14 potatoes = 35 minutes
So, it will take you 35 minutes to peel 14 potatoes.
Each brochure is 23 centimetres wide.
The table is 1.5 metres wide.
Estimate how many brochures you can put side by side on the table?.
Answer:
6 brochures
Step-by-step explanation:
Each brochures is 23 centimeters wide.
The table is 1.5 meters wide.
To know how many brochures can be placed side by side on the table first you have to calculate how many centimeters there are in 1.5 meters wide.
One meter equals 100 centimeters.
Therefore in 1.5 meters there are:
[tex]1.5*100 = 150[/tex] centimeters.
Now we must calculate in how many parts of 23 cm can be divided 150 cm.
To do this we made the division of 150 between 23
[tex]\frac{150}{23}= 6.522[/tex]
This means that up to 6 brochures of 23 cm can be placed side by side on the table
A)the eight term of arthematic sequence is 28, the common difference is 6 calculate the first term of sequence.
B) The sum of first n term is 760
calculate the vale of n.
Solution
Part A
The general form of the n-th term = a + (n-1)d
Here we are given the 8th term A8 = 28 , common difference (d) = 6
A8 = a + (n - 1) 6
28 = a + (8- 1)6
28 = a + 7*6
28 = a + 42
a = 28 - 42
a = -14
Part B
n-th term is 760. a = -14 and d = 6.
Plugging in the values in the general form, we get
760 = -14 + (n -1)6
760 = -14 + 6n - 6
760 = -20 + 6n
6n = 760 + 20
6n = 780
Dividing both sides by 6, we get
n = 780/6 = 130
The value of n is 130
Hello! this is function or no?
Yes, they are both functions.
they are both functions.. when i was taking algebra my teacher taught me the straight edge trick.. you take a ruler and run it across the graph, if the ruler touches more than one point on the graph at one time, it is not a function.. but since the ruler did not touch more than one point at one time on both of these, they are both functions.
You gain 60 points in a board game
Is there more information so i can really help you with it ?
Catherine walks her dog 3/4 mile every day. how far does she walk each week?
Answer:
Well 3/4 of a mile is 0.75 therefore you would multiply. 0.75 x 7
Step-by-step explanation:
3/4 = 0.75
0.75 x 7 = 5.25
Therefore she walks 5 1/4 each week
Find two numbers if their ratio is 9:11 and their difference is 6.
Answer: The required numbers are 27 and 33.
Step-by-step explanation: We are given to find two numbers if their ratio is 9:11 and their difference is 6.
Let the two numbers be 9x and 11x.
Then, according to the given information, we have
[tex]11x-9x=6\\\\\Rightarrow 2x=6\\\\\Rightarrow x=\dfrac{6}{2}\\\\\Rightarrow x=3.[/tex]
Therefore, the numbers are
[tex]9x=9\times3=27,\\\\11x=11\times3=33.[/tex]
Thus, the required numbers are 27 and 33.
To find the two numbers, we set up an equation based on the given conditions and solve for x. The two numbers are found by multiplying x by the ratio values.
Explanation:To find two numbers with a ratio of 9:11 and a difference of 6, we can set up the following equations:
Let the numbers be 9x and 11x.
According to the given conditions:
11x - 9x = 6
Simplifying the equation, we get:
2x = 6
Dividing both sides of the equation by 2, we find:
x = 3
Therefore, the two numbers are 9(3) = 27 and 11(3) = 33.
So, the two numbers are 27 and 33.
how would you write 77.7ovdrbar% as a decimal? Set that decimal equal to x. What digit or digits repeat
Answer:
[tex]0.777=0.\overline{7}[/tex]
Step-by-step explanation:
We are asked to write 77.7% as a decimal.
We know that percent means per hundred.
To write 77.7% as decimal, we will divide 77.7 by 100 as:
[tex]77.7\%=\frac{77.7}{100}[/tex]
Move decimal to left by two digits.
[tex]77.7\%=\frac{77.7}{100}=0.777[/tex]
Let us set 0.777 equal to x as:
[tex]x=0.777[/tex]
We can see that our decimal has three 7 digits after decimal, therefore, 1 digit is repeating after decimal.
Suppose Jose buys 4 pounds of sausage that cost $8.79 per pound, a bottle of mustard that costs $1.38, and two loaves of Cuban bread that cost $3.99 each. How much did Jose spend in all?
Answer:
$44.52
Step-by-step explanation:
$8.79+$8.79+$8.79+$8.79=$35.16
$35.16+$1.38=$36.54
$36.54+$3.99+$3.99=$44.52
Or a simpler way to solve it would be
($8.79×4)+$1.38+($3.99×2)
Parentheses> Exponents >Multiplication> Division> Addition> Subtraction
Answer: Jose spent a total of $44.52.
Step-by-step explanation: Given that Jose buys 4 pounds of sausage that cost $8.79 per pound, a bottle of mustard that costs $1.38, and two loaves of Cuban bread that cost $3.99 each.
We are to find the total amount of money that Jose spent.
The amount of money spent on sausage is given by
[tex]A_s=4\times8.79=\$35.16,[/tex]
the amount of money spent on the bottle of mustard is
[tex]A_m=1\times1.38=\$1.38[/tex]
and the amount of money that spent on the loaves of Cuban bread is
[tex]A_c=2\times3.99=\$7.98.[/tex]
Therefore, the total amount of money spent by Jose is given by
[tex]A=A_s+A_m+A_c=35.16+1.38+7.98=\$44.52.[/tex]
Thus, Jose spent a total of $44.52.
write an equation to find the number of students in mr boggs homeroom if the total number of students is 90
The number of students in Mr. Boggs’s homeroom
is equal to b. Add the total number of students in
each class and set it equal to 90.
90 = b + 1.5(b + 2) + 15 + (2b – 9)
Use the Distributive Property, and collect like terms.
90 = b + 1.5b + 3 + 15 + 2b – 9
90 = 4.5b + 9
The equation to find out the number of students in Mr. Bogg's homeroom when the total number of students is 90, is 'x = 90', where x represents the number of students in Mr. Bogg's homeroom.
Explanation:To write an equation to solve this problem, we'll define a variable, let's say x, to represent the number of students in Mr. Bogg's homeroom. If we know that the total number of students is 90, then the equation becomes simple: x equals 90. Thus, the complete equation would be: x = 90.
This equation states that the number of students in Mr. Bogg's homeroom (x) is equal to 90. To solve it, you just need to look at the number on the other side of the equals sign, which in this case is 90. Therefore, according to this equation, Mr. Bogg's homeroom has 90 students.
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jasmine and waldo went bowling if you took 12 points away from Waldo's score, jasmines score was 3 times that if the sum of their score is 360, what was each persons score
Answer: Jasmine's score is given by
[tex]3(x-12)=3(99-12)=3\times 87=261[/tex]
And Waldo's score = 99
Step-by-step explanation:
Let Waldo's score be x
Let Jasmine's score be 3(x-12)
According to question,
[tex]x+3(x-12)=360\\\\x+3x-36=360\\\\4x-36=360\\\\4x=360+36\\\\4x=396\\\\x=\frac{396}{4}\\\\x=99[/tex]
So,
Jasmine's score is given by
[tex]3(x-12)=3(99-12)=3\times 87=261[/tex]
And Waldo's score = 99
Help!! What is the point in the feasible region maximizes the objection function?
First, find the vertices of the shaded region. You can do this my graphing or by solving a system of equations for each pair of functions. I am going to find them by graphing.
x ≥ 0 and y ≥ 0 place the shaded region in the first quadrant with a vertex at (0, 0)
now graph y ≤ 3. a vertex is at (0, 3)
now graph y < -2x + 5. a vertex is at (1, 3). the other vertex is the x-intercept (when y = 0).
0 = -2x + 5
-5 = -2x
[tex]\frac{5}{2} = x[/tex] So, the vertex is [tex](\frac{5}{2} , 0)[/tex]
Next, input the coordinates of the vertices into the objective function.
C = -6x + 5y
(0, 0): C = -6(0) + 5(0)
= 0 + 0
= 0
(0, 3): C = -6(0) + 5(3)
= 0 + 15
= 15
(1, 3): C = -6(1) + 5(3)
= -6 + 15
= 9
[tex](\frac{5}{2} , 0)[/tex]: C = -6(\frac{5}{2}[/tex]) + 5(2)
= -15 + 10
= -5
The maximum is C = 15 which occurs at vertex (0, 3)
Answer: A
what is the equation written in a function notation with x as the independent variable x-y=3
we are given
[tex]x-y=3[/tex]
Here , we are given
x as the independent variable
so, y is dependent variable
so, we will solve for y
[tex]x-y=3[/tex]
Add both sides by y
[tex]x-y+y=3+y[/tex]
[tex]x=3+y[/tex]
Subtract both sides by 3
[tex]x-3=3+y-3[/tex]
[tex]x-3=y[/tex]
so, our function is
[tex]f(x)=x-3[/tex]................Answer
HELP ASAP I WILL GIV YOU BRAINLIST! Jim ran 200 meters in 30.4 seconds. Mac ran 100 meters in 30.4 seconds. Who ran faster?
I'm thinking Jim ran faster. Sorry if I'm wrong
Hello, I'm Jenny and I'm happy to help you! :)
Lets set up an equation for this problem.
Jim: 200 meters | 30.4 seconds
Mac: 100 meters | 30.4 seconds
We both know that they ran different amount of meters in the same amount of seconds so whoever completed the furthest amount of meters ran the fastest.
Jim: 200, Mac: 100.
Since 200 is higher than 100, Jim ran the furthest amount of meters therefore,
Jim ran the fastest.
We are ecstatic to help you so if you have any more questions or if we answered anything wrong please tell us! We aim to please! :) Thank you <3
-ExperimentsDIYS
um please help!!!!!!
The answer to #1 is the first/tallest blue bar. The way that it compares to a bacteria cell is that they both have the same water percentage.
Proteins make up a larger amount of an animal cell. I know this because the blue bar (representing the animal cell) is taller under the section of proteins than it is under nucleic acids.
I can tell that the chemical composition of bacterial and animal cells have a lot in common. All of the purple and blue bars match up almost perfectly, meaning that their compositions are almost the same.
Hope I helped, and I'd love to get brainliest :)
An exponential function will (SOMETIMES, ALWAYS, NEVER) exceed a polynomial function.
ANSWER GETS 99PTS
Answer:
An exponential function will ALWAYS exceed a polynomial function.
Step-by-step explanation:
Answer:
The answer i always
need all the help I can get
substitute the value of x back into the equation 3/4x+3-2x=-1/4+1/2x+5 to justify the solution what value of x is the solution ? x=
Answer:
x = -1
Step-by-step explanation:
We can subtract the right side of the equation to get ...
[tex]\dfrac{3}{4}x+3-2x-\left(-\dfrac{1}{4}+\dfrac{1}{2}x+5\right)=0\\\\x\left(\dfrac{3}{4}-2-\dfrac{1}{2}\right)+\left(3+\dfrac{1}{4}-5\right)=0\quad\text{collect terms}\\\\-\dfrac{7}{4}x-\dfrac{7}{4}=0\quad\text{simplify}\\\\x+1=0\quad\text{multiply by $-\frac{4}{7}$}\\\\x=-1[/tex]
Checking by subsitution, we have ...
... (3/4)(-1) +3 -2(-1) = -1/4 +(1/2)(-1) +5
... -3/4 +3 +2 = -1/4 -1/2 +5
... 4 1/4 = 4 1/4 . . . . . answer checks OK
Answer:x=-1 or D
Step-by-step explanation: hope I can help!
the graph of the equation below is a circle. what is the length of the radius of the cirlce? (x+5)2+(y+7)2=21^2
A circle whose center is located at point (a, b) having a radius of length r has the equation:
(x -a)² + (y -b)² = r²
Therefore, radius = 21
A circle whose center is located at point (-5, -7) having a radius of length r has the equation. Therefore, radius will be 21.
What is the equation of the circle with radius r units, centered at (x,y) ?If a circle O has a radius of r units length and it has got its center positioned at (h, k) point of the coordinate plane,
then, its equation is given as:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
We have been given the equation of the circle as
[tex](x+5)^2+(y+7)^2=21^2[/tex]
From comparing the general equation
Here, (h, k) = (-5, -7)
and the radius r = 21.
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Find -2 3/10+4 2/5 write your answer as a mixed number in simplest form plz
Answer:
2 7/10 simplified 2 1/10
20 points! Thank you
3x^3 + 6x^2 - 24x
= 3x(x^2 + 2x - 8)
= 3x(x +4)(x - 2)
Answer is
A. 3x(x +4)(x - 2)
Can you please help me??
the temperature in minnesota was -8°F on day. On the same day, temperature was 12° higher in India . What was the temperature in India today?
it would be a positive 4 degrees F today
Nitrogen is important for _____. healthy bones and teeth oxygen transport in the blood amino acids and DNA respiration NEXT QUESTION
Nitrogen is an essential part of amino acids
which point represents the origin?
point c cause its 0 and yeah have goood luck buddy
a bank offers an interest rate of 4% on a savings account . Write 4% as a decimal.
0.04
Hope this helps & good luck. :)