The number of cups of raisins needed to make 1/2 of the recipe is equal to [tex]1\frac{1}{3}[/tex] cups of raisins.
What is the unitary method ?
The unitary method is a method in which you find the value of one unit and then the value of required no. of units.
It is given that a full recipe asks for [tex]2\frac{2}{3}[/tex] cups of raisins.
We have to find the number of cups of raisins needed to make 1/2 of the recipe.
1 full recipe needs = [tex]2\frac{2}{3}[/tex] cups of raisins.
So , the number of cups of raisins needed to make 1/2 of the recipe can be calculated by :
1/2 of recipe needs = [tex]2\frac{2}{3}[/tex] × [tex]\frac{1}{2}[/tex] cups of raisins
or
1/2 of the recipe needs :
= [tex]\frac{8}{3}[/tex] × [tex]\frac{1}{2}[/tex] cups of raisins
= [tex]\frac{4}{3}[/tex]
or [tex]1\frac{1}{3}[/tex] cups of raisins
Therefore , the number of cups of raisins needed to make 1/2 of the recipe is equal to [tex]1\frac{1}{3}[/tex] cups of raisins.
Learn more about unitary method here :
https://brainly.com/question/18575566
#SPJ2
In 1990, one city’s population was 98,064. In 2000, the same city’s population increased by 13,434. In 2010, the city’s population increased by another 7,892.
What was the city's population in 2010?
80 divided in a ratio of 3:2
what is the answer to 38.22÷2.6 and how would you show your work
Evaluate for x = 2.
(12x + 8)
4
A) 4
B) 5
C) 6
D) 8
Pls help me with grade 2 ecuation
2x square-5x+2=0
The solutions are x=2 or x=1/2
Is sarah is 24 years younger than her mom and if the sum of their age is 68 how old is sarah?
joshua swims 25 meters in 1 minute.Draw a graph of meters swam versus time.Find the value of the slope and interpret it in words
Answer:
Given,
The number of meters covered by Joshua in 1 minute = 25 meters,
So, the number of meters covered by him/her in x minutes, ( say y ) = 25x minutes,
⇒ y = 25x,
Which is the equation of line passes through origin,
If x = 1, y = 25,
If x = 2, y = 50,
So, by joining the points (1, 25) and (2,50) we will get the graph,
∵ Slope of a line y = mx + c is m,
By comparing,
The slope of the above line is 25 that shows the rate of change in meters per minute.
Note : x ≥ 0, because number of minutes can not be negative.
PLEASE HELP!
A half of a class and a half of a student got A on a test. If yet another student got an A, then two-thirds of the class would have an A for the test! How many students are there in that class?
6 students are there in a class.
What is an example of a word problem?Word problems normally include mathematical modeling questions, in which records and statistics approximately a certain system is given and a pupil is needed to broaden a model. as instance: Jane had $5.00, then spent $2.00. How lots does she have now?
What are word problems referred to as?In computational mathematics, word trouble is the hassle of finding out whether given expressions are equivalent with admire to a hard and fast of rewriting identities. A prototypical instance is the word problem for corporations, but there are many other instances as nicely.
Learn more about Word problems here https://brainly.com/question/13818690
#SPJ2
Can someone help pleases
The zoom feature on a copier sets the percent size of a copy. Lebron wants to make a 200% copy of a photograph. The original photo has a width of 5 in. What width will the copy be?
Answer: 10 in.
Step-by-step explanation:
Given : The zoom feature on a copier sets the percent size of a copy. Lebron wants to make a 200% copy of a photograph.
We can write 200% = 2 [ ∵ to convert percent into decimal or fraction we divide it by 100 and [tex]200\div100=2[/tex] ]
Since , The original photo has a width of 5 in.
Then, the width of the copy will be :-
[tex]2\times5=10\ in.[/tex]
Hence, the width of the copy will be 10 in.
Help please!
What type of equation will best fit the data below?
Linear
Quadratic
Exponential
What type of equation will best fit the data below?
The given data represents a parabolic curve, that means it is a quadratic equation.
Explanation:
A parabola is defined as a curve with all the points at an equal distance from the focus and the straight line. While calculating the whole parabola, make sure that the equation for the given parabola must be in the standard quadratic form f(x) = ax² + bx + c, where "a" is not equal to zero.
If a perimeter of a room is 78 feet, what is the area of the floor of the room?
There is a rectangular diagram with the longer written "2w+3"and shorter side has "w" written.
What are factors and can you give me an example of an expression and it's factors
writing an inequality for x that would give this rectangle a perimeter of at least 300 ft.
Length: 3ft
width formula: x+5ft
please show steps!
Answer:
142≤ x.
Step-by-step explanation:
Given : rectangle a perimeter of at least 300 ft and Length: 3ft and width formula: x+5ft.
To find : Writing an inequality for x that would give this rectangle a perimeter.
Solution : We have given length = 3 ft.
Width = x + 5 ft .
Perimeter = 300 feet .
Perimeter = 2 ( length + width ) .
Plugging the values and greater than equal to sign for at least.
300 ≤ 2( 3 + x +5).
300≤ 2( 8 +x) .
300≤ 16 + 2x
On subtracting both sides by 16.
300 -16 ≤ 2x .
284 ≤ 2x.
On dividing both sides by 2.
142≤ x.
We can say x is at least 142.
Therefore, 142≤ x.
in a local coed softball keague, male to female ratio is 6:6. if there is 160 players in the league, how many are female?
Yuna missed 5 points out of 100 on her math test.What decimal number reprents the part of her math test that she answered correctly
Answer:
0.05
Step-by-step explanation:
Given function:
5 of 100find the decimal number1.00=100%=100
this means..
5 of 100=0.05.
Write 36 as a product of its prime factors write the factors in order, from smallest to largest
Are the opposites of -6.5 and the absolute value value -6.5 the same
The cover of a photo album has an area of 97.5 square inches. Find its area in square centimeters.(1cm =
0.3937 inches)
Answer: [tex]629.031 \text{ square centimeters}[/tex]
Step-by-step explanation:
Given : The cover of a photo album has an area of 97.5 square inches.
It is given that 1 cm = 0.3937 inches
By unitary method , 1 inch=[tex]\dfrac{1}{0.3937}=2.54000508001\approx2.54 \text{ cm}[/tex]
Then, 97.5 square inches =[tex]97.5\times2.54\times2.54[/tex]
[tex]\\\\=629.031\approx629.031 \text{ square centimeters}[/tex]
Hence, The required answer is[tex]629.031 \text{ square centimeters}[/tex].
A jug holds 4.8 liters. How many milliliters does it hold?
we know that
[tex]1\ liter=1,000\ milliliters[/tex]
so
By proportion
Find how many milliliters are [tex]4.8\ liters[/tex]
[tex]\frac{1,000}{1} \frac{ml}{l} =\frac{x}{4.8} \frac{ml}{l} \\ \\ x=1,000*4.8\\ \\x=4,800\ ml[/tex]
therefore
the answer is
[tex]4,800\ milliliters[/tex]
Tony started a blanket business. He purchased a sewing machine and some fabric to get started, and then sold each blanket for the same price. The expression −450+12x represents the profit that Tony has earned based on the number of blankets sold. Which expression represents the total amount Tony earns from selling blankets?
~~~~~~~~The answer IS 12x~~~~~~~~
Lori had $126.89 in her bank account. She deposited $21.49 into it and then wrote a check for her car repairs for $156.61. What was the ending balance in her account?
The ending balance would be (-8.23).
What is 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:
Lori had $126.89 in her bank account.
She deposited $21.49 into it and then wrote a check for her car repairs for $156.61.
After deposit her balance would be
=126.89 + 21.49
=148.38
and, the balance after paying for the repair
=148.38 - 156.61
=$ (-8.23)
Hence, the ending balance would be (-8.23).
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ6
Kyra is particapatiog ina fundraiser walk a thon she walks 2 miles in 30 minutes if she continues to walk at the same rate determine how many minutes it will take her to walk 7 miles use a double line diagram to support your answer. PLEASE HELP ME I LOVE U IF U HELP ME
please help
ok it's blurry sorry
What is the ratio 45:75 simplified
Lucy's final exam has true/false questions, worth 2 points each, and multiple choice questions, worth 3 points each. Let x be the number of true/false questions she gets correct, and let y be the number of multiple choice questions she gets correct. She needs more than 90 points on the exam to get an A in the class. Using the values and variables given, write an inequality describing this.
On the album 1989 by Taylor swift, Blank space is 12 seconds longer than shake it off. If the combined time of the two songs is 7 minutes and 30 seconds, how long is Shake It Off? Give your answer in minutes and seconds.
Answer:
Givens:
Blank Space is 12 sec longer than Shake It Off.The duration combined is 7 minutes and 30 seconds, which is 420 seconds.Lest's call [tex]B[/tex] Blank Space and [tex]S[/tex] Shake it Off, the relations would be
[tex]B=12+S\\B+S=420[/tex]
Now, we replace the first equation into the second equation and solve for [tex]S[/tex]:
[tex]12+S+S=420\\2S=420-12\\2S=408\\S=\frac{408}{2}=204[/tex]
Then, we replace this value into the first equation
[tex]B=12+S\\B=12+204=216[/tex]
This means that Shake It Off is 204 seconds long and Blank Space is 216 seconds long.
Therefore, if we express in minutes and seconds, we would have:[tex]204sec\frac{1min}{60sec}=3.4min=3 \ min \ and \ 24 sec[/tex]
[tex]216sec\frac{1min}{60sec}=3.6 min=3 \ min \ and \ 36 sec[/tex]
Is 10/11 rational or irrational? (10/11 = 0.909090)
Grace sold 5/8 of her stamp collection. What is this amount as a decimal?
Jamel is asked to create triangles using three of four given sticks. The sticks measure 3 in., 6 in., 7 in., and 8 in. He creates these 4 triangles.
Triangle 1: 3 in., 6 in., 7 in.
Triangle 2: 3 in., 6 in., 8 in.
Triangle 3: 3 in., 7 in., 8 in.
Triangle 4: 6 in., 7 in., 8 in.
How many of his triangles are obtuse?
(a.)1
(b.)2
(c.)3
(d.) 4
The number of obtuse triangles from the information will be 3.
What is an obtuse triangle?
It should be noted that an obtuse triangle is a triangle with one obtuse angle that is greater than 90° and two acute angles.
Given that, Jamel is asked to create triangles using three of four given sticks. The sticks measure 3 in., 6 in., 7 in., and 8 in. He creates these 4 triangles.
In this case, Jamel is asked to create triangles using three or four given sticks. In an obtuse triangle, the square of the third side is always greater than the sum of the two sides.
Therefore, By the given numbers there can be made 4 triangles having sides:
1) 3, 6, 7
3) 3, 7, 8
4) 3, 6, 8
Therefore, the correct option will be 3.
Learn more about triangles on:
brainly.com/question/23945265
#SPJ6