A basket of laundry is being separated. Divide 48 pieces into 2 clothing groups so the ratio is 1 to 3

Answers

Answer 1
[tex]\bf 48\qquad 1:3\qquad \cfrac{1}{3}\qquad \qquad \cfrac{1\cdot \frac{48}{1+3}}{3\cdot \frac{48}{1+3}}\implies \cfrac{1\cdot 12}{3\cdot 12}\implies \cfrac{12}{36}[/tex]

btw, don't put the shirts in the same bundle as the socks, you may end up with an unwanted perfume.

Related Questions

How many ternary (0, 1, 2) sequences of length 10 are there without any pair of consecutive digits the same?

Answers

There are 10 spaces then the first space will be (3,1), the second one cannot be the same as the first one so it will have to be (2,1).

So it will come down to 3×2^9

Final answer:

There are 1536 ternary sequences of length 10 with no pair of consecutive digits the same.

Explanation:

The question is asking about how many ternary sequences of length 10 there can be without any pair of consecutive digits being the same. In a sequence of length 10, each digit has 3 possible values (0, 1, 2) but cannot be the same as the digit before it. Therefore, the first digit has 3 choices, and each subsequent digit has 2 choices (since it can't be the same as the previous one). Using the multiplication principle of counting, there would be 3*2^9 = 1536 such sequences.

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The price of an item has risen to $156 today. Yesterday it was $65 . Find the percentage increase.

Answers

that's a BIG increase in price!  What cost $65 yesterday is now $156.  What was the increase?  $156 - $65 = $91.

Next:  $91 is what fraction of $65?  Divide.  Answer:  1.4.

Finally, multiply this last result by 100%:  140% (answer)

A ski club charges a $48 membership fee, plus $18 to rent ski equipment per day. Which of the following equations can be used to find the total cost of membership at the club, when renting equipment for x days?

Answers

By hypothesis, a ski club charges $48 membership fee plus $18 per day to rent ski equipment. X represents the number of day.

So if someone wants to rent ski equipment for x days, the charges will be 18x dollars. In addition to that, he needs to pay 48 dollars as membership fee. So in total, he needs to pay 48 + 18x.

So the equation y = 48 + 18x represents the total cost of membership at the club when renting equipment for x days.

Hope this helps! :)

The equation for the given situation is y=48+18x.

Given that, a ski club charges a $48 membership fee, plus $18 to rent ski equipment per day.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, equipment is renting for x days.

Let the total cost of membership at the club be y.

Now, y=48+18x

Therefore, the equation for the given situation is y=48+18x.

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Which equation has solution x = -3?

A) 2x - 7 = -1
B) 3x + 8 = 1
C) 1/2x + 8 = 10
D) 1/2 (2x - 6) = -6

Answers

A) 2x - 7 = -1

Add 7 to both sides of the equation.

2x = 6

x = 3

Choice A is not the answer.


B) 3x + 8 = 1

Subtract 8 from both sides.

3x = -7

Divide both sides by 3.

x = -2.3 repeating

Choice B is not the answer.

C) 1/2x + 8 = 10

1/2x = 2

Divide both sides by 1/2.

x = 4

Choice C is not the answer.

By process of elimination, choice D is the answer.

D) 1/2(2x - 6) = -6

x - 3 = -6

Add 3 to both sides.

x = -3

The total cost of four pens and seven mechanical pencils is $13.25. The cost of each pencil is 75 cents.
a. Using an arithmetic approach, find the cost of a pen.
b. Let the cost of a pen be dollars. Write an expression for the total cost of four pens and seven mechanical pencils in terms of .
c. Write an equation that could be used to find the cost of a pen.
d. Determine a value for for which the equation you wrote in part (b) is true.

Answers

Answer:

Step-by-step explanation:

4x+7(0.75)=13.25

4x+5.25=13.25

4x=13.25-5.25

4x=8

X=$2 each

Teddy was having trouble fitting into his clothes due to weight gain. In January he weighed 180 lbs 6 oz. He gain 3lbs 9 oz , 5 lbs 12 oz and 6 lbs 11 oz in the next 3 months how much does teddy weigh now

A) 196 lbs 6 oz
B) 196 lbs 8 oz
C) 194 lbs 6 oz
D) none
E) 194 lbs 8 oz

Answers

he would just be 196 pounds

What are other names for a trapezoid

Answers

In the UK we call it a trapezium.

It is also a quadrilateral.

Final answer:

The term 'trapezoid' refers to a four-sided figure with at least one pair of parallel sides in American English, while 'trapezium' is the equivalent term in British English.

Explanation:

Other names for a trapezoid include trapezium in British English. The term trapezoid is commonly used in American English to describe a four-sided figure with at least one pair of parallel sides. In contrast, British English refers to the same shape as a trapezium. It is important not to confuse these terms with trapezius, which is a muscle in the human body, or other unrelated terms such as triad or tricarboxylic acid cycle (TCA).

y and x have a proportional relationship, and y = 15 when x = 3. What is the value of x when y = 4?

Answers

I think it would be 20!!
Hope it helps!

Answer: 0.12

Step-by-step explanation:

The greatest common factor of 18 and a and 20 AB

Answers

Answer:

1

Step-by-step explanation:

GCF(18, a, 20ab) = 1

18 and a do not necessarily have any factor in common, so their GCF is 1. Adding more terms to the list will not increase the GCF beyond that value.

Hayden is 59 inches tall and is standing on top of a ladder that is 2 yards tall. In inches, what is the distance from the top of Hayden's head to the ground?

Answers

131 inches in all i just made sure
One yard is 36 inches, so 36*2=72 and add that to Hayden's height, 72+59=131 inches.

Your answer is 131 inches

A rectangle has a base of 2 yd and a height of 5 ft. Find the area of the rectangle. 30 yd2 30 ft2 10 yd2 10 ft2

Answers

Answer: [tex]30\ ft^2[/tex]

Step-by-step explanation:

We are given that

The base of the rectangle = 2 yards

The height of the rectangle = 5 feet

We know that

1 yard = 3 feet

Then , the base of the rectangle = [tex]2 \times3=6\text{ feet}[/tex]

Now, the are of the rectangle will be :-

[tex]\text{Area}=\text{Height x Base}\\\\\Rightarrow\ \text{Area}=5\times6\text{ square feet}\\\\\text{Area}= 30\text{ square feet}[/tex]

Hence, the area of the rectangle = [tex]30\ ft^2[/tex]

Answer:

i think is 30ft2

Step-by-step explanation:

The model was shaded two different ways to show a product. Which product is shown by the model?

Answers

the answers would be C

Answer:

3/4.

Step-by-step explanation:

4/8 simplified=1/2 6/8 simplified=3/4.

How do you solve 792 divided by 22

Answers

792/22=36

You can represent this as a subtraction problem as well.

792-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22=36

Addition: 792=22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22

Multiplication:
792=22*36

(-5)(2)-2(-3)+3
Expression
Perform Multiplication
Simplify

Answers

(-10) + 6 + 3
-4 + 3
-1

Upon decomposition, one sample of magnesium fluoride produced 1.65 kg of magnesium and 2.57 kg of fluorine. a second sample produced 1.32 kg of magnesium. how much fluorine (in grams) did the second sample produce?

Answers

The ratio of mass of magnesium to fluorine will always be the same. 
so we have  1.65 / 2.57 = 1.32 / x

x =  2.57 * 1.32  /   1.65  =  2.056 kg Answer

The amount of fluorine (in grams) on second sample is,

⇒ 2062.5 g.

Here,

On Sample one, 1.65 kg Magnesium and 2.57 kg Fluorine.

And, On second sample, 1.37 kg of magnesium and let x kg of fluorine.

We have to find the amount of fluorine (in grams) on second sample.

What is Ratio?

Ratios compare two numbers, usually by dividing them.

Now,

On Sample one, 1.65 kg Magnesium and 2.57 kg Fluorine.

And, On second sample, 1.37 kg of magnesium and let x kg of fluorine.

Hence,

The ratio from sample one,

⇒ 1.65kg / 2.57kg = 0.64

The ratio of second sample,

⇒ 1.3 kg / x kg

Now, Using Law of define properties of ratio, the first and second should have the same ratio.

Hence,

1.3 kg / x kg F = 0.64

x = 2.0315 kg F

x = 2031.2 g F

Therefore, The amount of fluorine (in grams) on second sample is,

⇒ 2062.5 g.

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this number is 0.02 more than five and five tenths

Answers

not true because .02=2/100 and 5 5/10=55/10 which is bigger than .02.
5 5/10 > 0.02

John made of a pound of fudge and Mary made of a pound of fudge. Ricky takes the sum of the two amounts of fudge and divides it into three equal portions, planning to keep one portion for himself. How much fudge does Ricky keep?

Answers

2 pounds divided into 3 would be 0.6 repeating (0.6666666666666666667)

Translate this sentence into an equation. The difference of Rhonda's height and 16 is 52. Use the variable to represent Rhonda's height.

Answers

Attached a solution and showed work.
Final answer:

The sentence 'The difference of Rhonda's height and 16 is 52' translates into the equation 'h - 16 = 52'. Here, 'h' represents Rhonda's height.

Explanation:

The subject matter of this question falls under Mathematics. Specifically, it deals with basic algebra where you have to translate word problems to an algebraic equation. Remember that the phrase 'the difference of' in math refers to the operation of subtraction. So, when you read 'the difference of Rhonda's height and 16 is 52,' that means Rhonda's height (which we’ll denote as 'h') minus 16 equals 52 (52 comes from the phrase 'is 52' because 'is' usually represents equal '='). Therefore, when this sentence is written in the form of an equation, it will look like: h - 16 = 52.

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In isosceles triangle the length of the base is twice shorter than the length of a leg. The perimeter of this triangle is 50cm. Find the lengths of all sides.

Answers

Pythagorean Triple3 whole numbers that form a right trianglec^2=a^2+b^2Forms a right trianglec^2>a^2+b^2Forms an obtuse trianglec^2<a^2+b^2Forms an acute triangleIsosceles Right Triangle (45-45-90 Triangle)Both legs are congruent, and the length of the hypotenuse is rad2 times the length of a leghypotenuse=rad2 * leg45-45-90 Triangle30-60-90 TriangleThe length of the hypotenuse is twice the length of the shorter leg. The length of the longest leg is rad3 times the length of the shorter leghypotenuse=2 * shorter leg30-60-90 Trianglelonger leg=rad3 * shorter leg30-60-90 Triangle

Answer:

yes

Step-by-step explanation:

What is fifteen out of eighteen in simplest form

Answers

15/18.. both are divisible by 3 so therefore you can reduce the fraction to 5/6
15/18 = 5/6

15/3 = 5
18/3 = 6

5/6 is your answer

hope this helps

Let w be the set of all points in r3 that lie in the xz-plane. is w a subspace of r3?

Answers

It might be helpful to remember that the definitions of R2 and R3 are not geometric at all. R2 is the set of all ordered pairs of real numbers, whereas R3 is the set of all ordered triples of real numbers. W is a subspace fo R3, and so it still consists of elements which are triples, not pairs. The fact that R2 and W can be visualized with the same geometric picture, namely the xy plane, is one way to see in a concrete way the isomorphism which the second poster refered to.

Six is less than or equal to the sum of a number n and 15

Answers

9it is 9 because you are asking what plus what will give you 15
And plus you give us an uber to go with 15 and you said 6 so 9+6=15

the solution is[tex]\( n \geq -9 \).[/tex]

Sure, let's break down the problem step by step.

1. The inequality given is[tex]\( 6 \leq n + 15 \).[/tex]

2. To find the value of ( n ), we'll start by isolating ( n ) on one side of the inequality.

[tex]6 &\leq n + 15 \\6 - 15 &\leq n \\-9 &\leq n[/tex]

So, the solution is[tex]\( n \geq -9 \).[/tex]

Now, let's explain the steps and the final answer in more detail.

The inequality[tex]\( 6 \leq n + 15 \)[/tex] states that "six is less than or equal to the sum of a number ( n ) and fifteen."

To solve for ( n ), we first subtract 15 from both sides of the inequality to isolate ( n ):

[tex]\[ 6 - 15 \leq n \][/tex]

This simplifies to:

[tex]\[ -9 \leq n \][/tex]

So, the solution to the inequality is[tex]\( n \geq -9 \),[/tex] which means that any number greater than or equal to -9 will satisfy the original inequality [tex]\( 6 \leq n + 15 \).[/tex]

In conclusion, the correct answer is[tex]\( n \geq -9 \)[/tex], and this means that any number greater than or equal to -9 makes the statement "six is less than or equal to the sum of that number and fifteen" true.

complete question

Six is less than or equal to the sum of a number n and 15

What integer represents the change in balance from Monday to Tuesday?

Answers

-34 is integer represents the change in balance from Monday to Tuesday

The integer represents the change in balance from Monday to Tuesday is -34

What is integer?

Zero, a positive natural number, or a negative integer are all considered integers. The equivalent positive numbers' additive inverses are represented by the negative numbers. The boldface Z or blackboard bold is frequently used to represent the set of all numbers.

Based on the question, there is a change in balance from Monday to Tuesday , then

monday=-21

Tuesday = -55

The change =-55 - (-12)

=-55+12

=-34

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A laboratory technician needs to make a 108​-liter batch of a 20​% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 10​% to get the desired​ concentration?

Answers

12 liters of pure acid and 96 liters of 10% acid solution Using mass and component balance: Let x = liters of pure acid and y = liters of 10% acid Mass balance: x + y = 108 Component balance: 100%*x + 10%*y = 20%*108 or x + 0.1y = 21.6 Solving for x and y: x = 12 and y = 96

Given the triangle below which of the follwing is a correct statement?

Answers

Let Opp Adj, and Hypp respectively represent the opposite side, the adjacent side, and the hypotenuse.

Consider an angle M with measure m degrees. The trigonometric ratios sec, and csc are defined as follows:

sec(m)=Hyp/Adj,     and csc(m)=Hyp/Opp


Thus we can check that 

[tex]\displaystyle{csc(\angle C)= \frac{6}{4}= \frac{3}{2} [/tex]

[tex]\displaystyle{sec(\angle C)= \frac{6}{5} [/tex]

[tex]\displaystyle{csc(\angle B)= \frac{6}{5}= \frac{3}{2} [/tex]

[tex]\displaystyle{sec(\angle C)= \frac{6}{4}=\frac{3}{2} [/tex]


Answer: A

Anna wants to make 4 sets of curtains. Each setbrequires 5 1/8 yards of fabric. How much fabric does she need?

Answers

5 1/8 × 4 = 20 1/2 yards of fabric

i have a 5 in my ones place the digit in my tens place is 3 plus the digit in my ones place the digit in hundreds place is 2 less than the digit in my ones place what number am i

Answers

385. The 5 is in the ones place. To get the number for the tens place, add together 3+5=8 (5 is the number that is in the ones place). To get the number for the hundreds place, (5) is in the ones place so you would subtract 2 from 5 which is 3. The answer is 385.

Let f(x)= x+3 and g(x)= 4x-3. Find (f+g)(3).

Answers

(f + g)(3) = f(3) + g(3).

Find f(3).

f(3) = x + 3

f(3) = 3 + 3

f(3) = 6

Now find g(3).

g(3) = 4x - 3

g(3) = 4(3) - 3

g(3) = 12 - 3

g(3) = 9

We finally add f(3) + g(3).

f(3) + g(3) = 6 + 9

f(3) + g(3) = 15

The answer is 15.

A box contains 4 bags of sugar,The total mass of all 4 bags is 6 kg. What is the mass of each bag in grams?

Answers

4 bags of sugar have 6kg or 6000 grams.

how many in each box?

well, there are 4 boxes, how many times does 4 go into 6000?  1500.

that many grams in 1 box then.

Answer:

1500 g.

Step-by-step explanation:

So i'll start by converting 6 kg to grams. Which is 6000 g.

There are four bags so i will do 6000 divided by 4 which equals 1500.

So the answer is 1500. each bag weighs 1500 g.

Your welcome hope this was helpful!

A fence around a square garden is made up of 4 equal sized pieces that are each 5 1/2 feet long. Matt decided to make the sides 2 1/2 times longer. How much fencing does he need in all?

Answers

Find the perimeter of the original square: P = 4s = 4 * 5.5 ft = 22 ft
Now multiply by 2.5 * 22 ft * 22 = 55 ft
He needs 55 ft of fencing
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