two hundred fifteen and seventy-five hundredths in standard form
Beau's recipe for granola bars calls for 3 1/2 cups of oatmeal. He only has a 1/6 cup scoop. How many scoops of oatmeal will he need to complete the recipe?
There will be [tex]\boxed{\bf 21}[/tex] scoops of oatmeal to complete the recipe.
Further explanation:
Given that Beau’s recipe of granola bars contains [tex]3\frac{1}{2}[/tex] cups of oatmeal.
Beau’s has only [tex]\frac{1}{6}[/tex] cup scoop.
Our aim is to find the number of scoops of oatmeal Beau’s needed to complete the recipe for granola bars.
Total cups of oatmeal are [tex]3\frac{1}{2}[/tex].
First we have to convert the total cups of oat meal to proper fraction.
[tex]\begin{aligned}\text{Cups of oatmeal for the recipe}&=\dfrac{(3\cdot 2)+1}{2}\\&=\dfrac{6+1}{2}\\&=\dfrac{7}{2}\end{aligned}[/tex]
There is only [tex]\frac{1}{6}[/tex] cup scoop.
Since there are [tex]\frac{7}{2}[/tex] cups of oatmeal and [tex]\frac{1}{6}[/tex] cup scoop, therefore, number of scoops required to complete the meal are calculated as follows:
[tex]\begin{aligned}\text{Number of scoops required}&=\dfrac{\frac{7}{2}}{\frac{1}{6}}\\&=\dfrac{7}{2}\cdot 6\\&=7\cdot 3\\&=21\end{aligned}[/tex]
The total number of scoops is obtained in whole number; therefore, this is our final answer.
Therefore, [tex]\boxed{\bf 21}[/tex] scoops of oatmeal are needed by Beau’s to complete the recipe of granola bars.
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Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Fractions
Keywords: Beau’s, recipe, granola, bars, cups, oatmeal, scoop, 3 1/2 ,1/6 cup scoop, complete, cups of oatmeal, fractions, whole number.
[tex]\boxed{21}[/tex] number of scoops of oatmeal will he need to complete the recipe.
Further explanation:
Given:
Beau's recipe from granola bars calls for [tex]3\dfrac{1}{2}[/tex] cups of oatmeal.
He only is [tex]\dfrac{1}{6}\:{\text{scoop}[/tex]
Explanation:
The number of cups of oatmeal that are called for the recipe are [tex]3\dfrac{1}{2}.[/tex]
Solve the improper fraction [tex]3\dfrac{1}{2}[/tex] to obtain the proper fraction.
[tex]\begin{aligned}{\text{Fraction}}&= \frac{{2 \times 3 + 1}}{2}\\&=\frac{{6 + 1}}{2}\\&= \frac{7}{2}\\\end{aligned}[/tex]
The Beau has [tex]\dfrac{1}{6}{\text{ scoop}}.[/tex]
The number of scoops that are required to complete the recipe can be obtained as follows,
[tex]\begin{aligned}N&=\dfrac{{{\text{total cups of oatmeal}}}}{{{\text{the fraction of scoop Beau has}}}}\\&=\dfrac{{\dfrac{7}{2}}}{{\dfrac{1}{6}}}\\&= \frac{7}{2} \times 6\\&=\dfrac{{42}}{2}\\&= 21\\\end{aligned}[/tex]
The number of scoops required to complete the oatmeal is [tex]21{\text{ scoops}}.[/tex]
Therefore, [tex]\boxed{21}[/tex] number of scoops of oatmeal will he need to complete the recipe.
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Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Fractions
Keywords: fraction, Beau’s recipe, granola bars, calls, 3 1/2 cups of oatmeal, scoops, recipe, ratio, 1/6 scoop, complete the recipe, recipe for granola bars.
start at 5 create a pattern that multiplies each no. by 3 and subtracts 2 stop when you have 5 no.
Final answer:
The mathematical pattern involves starting with the number 5, multiplying by 3, and subtracting 2, which gives the sequence: 5, 13, 37, 109, 325.
Explanation:
The pattern described would involve starting with the number 5 and repeatedly applying the same mathematical operation, which is to multiply by 3 and then subtract 2, stopping after obtaining five numbers in total. Let's demonstrate this step-by-step:
Start with 5Multiply by 3: 5 × 3 = 15Subtract 2: 15 - 2 = 13 (This gives us our second number)Now use 13: 13 × 3 = 39Subtract 2: 39 - 2 = 37 (Third number)Next, take 37: 37 × 3 = 111Subtract 2: 111 - 2 = 109 (Fourth number)Finally, use 109: 109 × 3 = 327Subtract 2: 327 - 2 = 325 (Fifth number)So the series of five numbers created by this pattern is: 5, 13, 37, 109, 325.
A number divided by -9 is 16. What is the missing number?
What is the value of x?
6(−3−x)−2x=14
Answer:
X= -8
Step-by-step explanation:
write a fraction equivalent to 60mi/4hr that has 2 in the denominator
jeff rakhnovich buys a 500000 t-bill at 2.5% discount for 36 weeks find the effective interest rate of APR assume 52 weeks per year
What are fractions that equal 10
solve the equation 4(x+2)-17=35
What is the slope of the line on the graph?
Enter your answer in the box.
Answer:
-2
Step-by-step explanation:
i took the test
Ron works 5 hours for a total of $300. He deposits all of his money in his account. He is trying to save $500 for a new LED TV. How many hours must he work to take home $500, if he saves all of his earnings
how did people affect the environment in hurricane irma? History
math question on unit about congruents please see pic . describe the relationship between the unfinished puzzle and the missing piece.
write a three digit number using digit 2,9,4.draw a quick picture to show the value
the triangles shown below must be congruent. right awnsers only please.
Answer: false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
Properties of congruent triangle :
SSS -"side, side, side" and means that we have two triangles with all three sides equal.
ASA- "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal.
SAS -"side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal.
AAS -"angle, angle, side" and means that we have two triangles where we know two angles and the non-included side are equal.
Since the given triangles does not satisfy any property
So, the given triangles are not congruent.
So, Option B is true
Hence False
in a comparison taste test of two drinks 780 people preffered Cranberry blast. Only 220 people preferred Melon splash. How many percent of people like cranberry blast?
Relationship A has a greater rate than Relationship B. This table represents Relationship B.
Hours worked 2 4 5 8
Amount paid ($) 25 50 62.50 100
Which equation could represent Relationship A?
Hours worked is represented by x and Amount paid is represented by y.
Select each correct answer.
y = 13x
y = 11.5x
y = 12.75x
y = 12.25x
Answer:
y = 13x ; and y = 12.75x
Explanation:
The rate of change is another name for slope. To find the slope of Relationship B, we use the formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Using the first two points, we have
m = (50-25)/(4-2) = 25/2 = 12.5
This means that anything with a rate of change greater than 12.5 works in this problem.
The equations listed for Relationship A are in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept (in all of these, b = 0).
In the first equation, m = 13; in the second equation, m = 11.5; in the third equation, m = 12.75; and in the fourth equation, m = 12.25. The only ones with higher slopes than Relationship B are the first and the third one.
The speed of light is about 3x10 to the 8th power meters per second. About how far can light travel in 30 minutes?
write as an algebraic equation
Jimmy ran m miles in t minutes. What was his speed?
To find Jimmy's speed, we use the formula speed = distance/time and represent his speed as m miles / t minutes.
Explanation:To find Jimmy's speed, we need to use the formula speed = distance/time. In this case, Jimmy ran m miles in t minutes. So, his speed can be represented as:
Speed = m miles / t minutes
Find the range 4.9,5.7,6.0,5.3,4.8,4.9,5.3,4.7,4.9,5.6,5.1
are the given lines parallel y=-5 y=3 ? how do you know? ASAP TY
The lines y = -5 and y = 3 are parallel because they are both horizontal lines with a slope of 0. This is the same case with lines Y2 and Y3 from the reference provided; they are parallel because they share the same slope.
Explanation:The lines y = -5 and y = 3 are indeed parallel lines. This is because they are both horizontal lines, which means their slopes are both 0. In mathematics, two lines are parallel if and only if their slopes are equal. In the case of these two lines, since they do not have a variable component (x), they are straight horizontal lines, meaning their slopes are equal and thus, they are parallel.
To illustrate this, contrast it with the given lines in the reference; line Y2 = -173.5+ 4.83x − 2(16.4), and line Y3 = -173.5+ 4.83x + 2(16.4), whereby y = -173.5+ 4.83x is the line of best fit. Y2 and Y3 have the same slope, which shows these lines are also parallel as they share the same inclination and distance apart at all points.
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Question 15
Leo bought a bulldozer for $63,103. The value of the bulldozer depreciated at a constant rate per year. The table below shows the value of the bulldozer after the first and second years:
Year
1
2
Value (in dollars)
58,054.76
53,410.38
Which function best represents the value of the bulldozer after t years?
f(t) = 58,054.76(0.92)t
f(t) = 63,103(0.08)t
f(t) = 63,103(0.92)t
f(t) = 58,054.76(0.08)t
Answer:
c f(t) = 63,103(0.92)t
Step-by-step explanation:
Last week,a share of stock gained a total of 1.64 points.express this gain as a mixed number in simplest form
You and two friends are playing basketball. You make 7 out of 15 shots. Your first friend makes 6 out of 10 shots and your second friend makes 5 out of 12 shots. Who is the better shooter? How would you solve this problem using what you know about rational numbers?
Quinton writes this problem:
645 divided by 1100
Which expressions represent Quinton's problem?
Select each correct answer.
1100
A) 645
B) 645/1100
C) 645 ÷ 1100
D) 1100 ÷ 645
645
E) 1100
F) 1100/645
Where the numbers are on top of each other they are a fraction, and where there is a / it is the long division symbol.
Its probaly: B, D, and E
Answer:
C - 645 ÷ 1100
E - 645 /(over) 1100
F - 1100 )645
Step-by-step explanation:
Use words to show how each division problem is read:
a. 12 ÷ 6 b. 12/6 c. 6)12
For all three division symbols, we say “divided by.” The division in
A is read from left to right: “twelve divided by six.”
The division in B is read from top to bottom: “twelve divided by
six.”
The division in C is written with a division box. We read the number
inside the box first: “twelve divided by six.”
We see that all three problems are read the same. Each problem
shows the same division “twelve divided by six.”
A bag contains 6 red and 10 black marbles. If you pick up a marble, record it’s color and return it to the bag 200 times how many times can you expect to pick a black marble
Answer:
125
Step-by-step explanation:
right answer
Convert the fraction into a decimal: 35/10 =
Answer: 3.5
Step-by-step explanation: In order to write [tex]\frac{35}{10}[/tex] as a decimal, we need to find a fraction that is equivalent to [tex]\frac{35}{10}[/tex] with a 100 in the denominator. Notice that if we multiply the numerator and denominator of [tex]\frac{35}{10}[/tex] by 10, we get the equivalent fraction [tex]\frac{350}{100}[/tex] which we can now write as a decimal. Remember that the hundredths place is two places to the right of the decimal point. Therefore, we can write [texfrac{350}{100}[/tex] as 3.5.
Tommy plotted the opposite of one. Alicia plotted the opposite of two.Which Number is greater in value ? Explain.
Which conditional statement is true?
A. If two angles are acute, then they are complementary?
B. If an angle is acute, then its measures is less than 90 degrees
Would it be A?
use properties and mental math to solve 7.35+1.47+9.65