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.
Select the expressions that are equivalent to 5(w+5)
9 minus t equals t plus 3
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
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.
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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)
what time will it be 20 minutes after 3:30p.m
Mia's cat weighs 13 pounds ,7 ounces .about what is that weight in kilograms ?
The pine tree in George's front yard is 8.83 meters tall. What is that number rounded to the nearest tenth?
Using this how do you solve the equation: f(g(3))
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.”
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.
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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.
Evaluate the expression 3x + 4y/2 for x = 1.5 and y = 2.5 .
A. 2
B. 4.25
C. 6.25
D. 7.25
ten less than a number cubed
a chili recipe calls for 6 lbs of ground beef for 25 servings how many pounds of ground beef are needed for 30 servings
denna is four more than three times older than ted. the sum of their ages is 60. how old is ted?
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)
The ratio of clownfish to angelfish at a pet store is 5:4 the ratio of angelfish to goldfish is 4:3 there are 60 clownfish at the pet store .
The number of angelfish and goldfish are required.
The number of angelfish is 48 and goldfish is 36.
The ratio of clownfish to angelfish is
[tex]\dfrac{c}{a}=\dfrac{5}{4}[/tex]
Ratio of angelfish to goldfish is
[tex]\dfrac{a}{g}=\dfrac{4}{3}[/tex]
Number of clownfish is [tex]c=60[/tex]
From the given ratios
[tex]\dfrac{60}{a}=\dfrac{5}{4}\\\Rightarrow a=\dfrac{60\times 4}{5}\\\Rightarrow a=48[/tex]
[tex]\dfrac{48}{g}=\dfrac{4}{3}\\\Rightarrow g=\dfrac{48\times 3}{4}\\\Rightarrow g=36[/tex]
The number of angelfish is 48 and goldfish is 36.
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i do not get number 8... can someone help me?
solve the equation 4(x+2)-17=35
write a three digit number using digit 2,9,4.draw a quick picture to show the value
What number is 2% of 35
What is 15/24 as a decimal?
math question on unit about congruents please see pic . describe the relationship between the unfinished puzzle and the missing piece.
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.
what is the positive solution to the equation 0=1/3x^2-3
You can use the simplified equation to find the solution.
The positive solution of given equation is x = 3
What is a positive solution of given equation?
When we find the solution of the equation, we find the values of the variables for which the given equation is correct. Sometimes the values of the solutions comes out negative and sometimes positive and sometimes both or can be 0 too.
To find positive solutions, we only consider those solutions which are positive.
Simplification of the given equation[tex]0 = \dfrac{1}{3}x^2 - 3\\ \\ \text{Adding 3 on both sides}\\ \\ 3 = \dfrac{1}{3}x^2\\ \\ \text{Multiplying 3 on both sides}\\\\ 9 = x^2\\ \\\\ \text{taking square root}\\ 3 = \pm x\\ x = \mp 3 \\ (x = 3), (x = -3)[/tex]
Thus, x = 3, and x = -3 are the solutions to given equation.
The positive solution to the given equation is x = 3.
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What is 5 4/7 / -1/5
9,540,00 in expanded for in exponents