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
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.
What is 15/24 as a decimal?
Using this how do you solve the equation: f(g(3))
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.
denna is four more than three times older than ted. the sum of their ages is 60. how old is ted?
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.”
What is 5 4/7 / -1/5
9,540,00 in expanded for in exponents
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Aida applied the distributive property to write the equivalent expressions below.
15 + 21 = 3(4 + 8)
What is Aida’s error?
Aida used 3 as the factor, which is not common to 15 and 21.
Aida did not correctly divide by the common factor to get (4 + 8).
Aida did not apply the correct operations to the expressions.
Aida wrote two expressions that are not equivalent.
i do not get number 8... can someone help me?
use properties and mental math to solve 7.35+1.47+9.65
What number is 2% of 35
Mia's cat weighs 13 pounds ,7 ounces .about what is that weight in kilograms ?
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.
Which is an equation in point-slope form of the line that passes through the points (4, 5) and (−3, −1) ?
a. y−1=6/7(x−3)
b. y+1=6/5(x+3)
c. y+3=7/6(x+1)
d. y+1=6/7(x+3)
a chili recipe calls for 6 lbs of ground beef for 25 servings how many pounds of ground beef are needed for 30 servings
Two containers, A and b begin with equal volumes of liquid. 120 mL is then poured from a to B. Container b now contains four times as much liquid as A. Find the volume of liquid left in container a at the end
The volume of liquid left in container a at the end is 80 mL.
Let's denote the initial volume of each container as ( V ) mL. After pouring 120 mL from A to B, the volume of liquid in A decreases to ( V - 120 ) mL and the volume in B increases to ( V + 120 ) mL.
We're given that after this transfer, the volume in B is four times the volume in A:
[tex]\[ V + 120 = 4(V - 120) \][/tex]
Now, we solve for ( V ):
V + 120 = 4V - 480
120 + 480 = 4V - V
600 = 3V
V = [tex]\frac{600}{3}[/tex] = 200
So, the initial volume in each container was 200 mL. After pouring, A has ( 200 - 120 = 80 ) mL left.
What is the value of x?
6(−3−x)−2x=14
Answer:
X= -8
Step-by-step explanation:
Dana loves rocks! She has 6 pieces of granite, 3 pieces of marble, 14 pieces of sandstone, and 1 piece of slate. What is the ratio of pieces of sandstone to pieces of marble in Dana's collection?
The ratio of pieces of sandstone to pieces of marble in Dana's collection is 14 : 3.
What is the ratio?A ratio indicates how many times one number contains another. If a and b are to objects then ratio of a to the b is given as a : b.
Now the given number of stones in Dana's collection are,
granite- 6 pieces
marble- 3 pieces
sandstone- 14 pieces
slate- 1 piece
Now to find the ratio of pieces of sandstone to pieces of marble we have,
pieces of sandstone/pieces of marble = 14/3
⇒pieces of sandstone : pieces of marble = 14 : 3
Hence,The ratio of pieces of sandstone to pieces of marble in Dana's collection is 14 : 3.
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Dana's collection contains a 14:3 ratio of sandstone to marble fragments. So option (c) is correct.
To find the ratio of pieces of sandstone to pieces of marble in Dean's collection, we need to compare the number of sandstone pieces to the number of marble pieces.
Step 1: Count the pieces of sandstone and marble.
Sandstone: 14 pieces
Marble: 3 pieces
Step 2: Write down the ratio in the form of sandstone : marble".
Sandstone : Marble
Step 3: Substitute the counts into the ratio.
Sandstone: Marble = 14:3
Thus, the ratio of pieces of sandstone to pieces of marble in Dean's collection is 14:3.
Complete Question:
Dean loves rocks! He has 6 pieces of granite, 3 pieces of marble, 14 pieces of sandstone, and 1 piece of slate. What is the ratio of pieces of sandstone to pieces of marble in Dean's collection?
Choose 1 answer:
14:6
3:24
14:3
24:3
Here are two shapes with the same area. Work out the perimiter of the rectangle.
write a three digit number using digit 2,9,4.draw a quick picture to show the value
what time will it be 20 minutes after 3:30p.m
Debra started a babysitting business. She purchased toys, snacks, and other supplies. She charged an hourly rate for each child. The expression −145+6y−145+6y represents the profit Debra has earned from her babysitting business. Which expression represents the total amount Debra earns from babysitting?
A) y
B) −145
C) 6y
D) 6
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Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 45 + 72?
3(15 + 24)
9(5 + 8)
(5)(9) + (2)(36)
(3)(15) + (8)(9)
solve the equation 4(x+2)-17=35
Two scientists are measuring lava temperatures. One scientist records temperature of 1725 degrees Fahrenheit. The other scientist records a temperature of 950 degrees Celsius. Which is the greatest temperature? (Use C= 5/9(F - 32)
Final answer:
To compare temperatures, convert them to the same unit. In this case, 1725°F is the greatest temperature between 1725°F and 1742°F.
Explanation:
Converting temperatures: To compare temperatures, we must convert them to the same unit. The first scientist recorded 1725°F, and the second scientist recorded 950°C. Converting 950°C to Fahrenheit, we get 1742°F. Therefore, 1725°F is the greatest temperature.
ten less than a number cubed
math question on unit about congruents please see pic . describe the relationship between the unfinished puzzle and the missing piece.
9 minus t equals t plus 3