The ratio of the totals of the numbers in box A and box B is 2:3.
Swap two numbers, one from each box, so that the ratio of the totals of the numbers is now 9:11. Show your working.
Please answer asap!! :)
Answers
Answer:
Swap 10 from box A and 15 from box B
Step-by-step explanation:
For calculate the ratio between the boxes we find the mean of the box A and the mean of the box B and divide this two results.
For find the mean of a set you use the next formula [tex]\bar{x} = \frac{\text{sum numbers}}{\text{total numbers}}[/tex]
[tex]\bar{A} = \frac{4+5+9+10+12}{5} = \frac{40}{5}= 8\\\bar{B} = \frac{6+7+13+15+19}{5} = \frac{60}{5}= 12[/tex]
Then the ratio is equal to [tex]\frac{\bar{A}}{\bar{B}} = \frac{8}{12} = \frac{2}{3}[/tex]
Know the ask us for a ratio of 9:11 then we know two things about the boxes.
If you swap the numbers between them the total of numbers in the mean not change is always 5 and the sum of all the elements in both boxes is always 100. With this we can state the next equation:
The new mean of [tex]\bar{A}[/tex] is 9 then:
[tex]\frac{\text{sum of elements in box A}}{5} = 9[/tex]
[tex]\text{sum of elements in box A} = 45[/tex]
The new mean of [tex]\bar{B}[/tex] is 11 then:
[tex]\frac{\text{sum of elements in box B}}{5} = 11[/tex]
[tex]\text{sum of elements in box B} = 55[/tex]
Now we know what is the sum of the elements in both boxes, but how we find the elements for swap? Well with the next relation.
When you take out a element from the box A this elements is substracted to the total sum of the elements in the box A and get a new sum of total of elements named [tex]c[/tex] (where [tex]a[/tex] is the element taken):
[tex]40 - a = c[/tex]
And when you sum an element to the box A the current sum of total elements in the box change to (where [tex]b[/tex] is the added element):
[tex]b + c = 45[/tex]
So replace [tex]c[/tex] for the first relation and get:
[tex]b + 40 - a = 45\\b - a = 5[/tex]
From the last equation you can deduct that [tex]b[/tex] is greater than [tex]a[/tex] and the different between both values is 5. So the last step is find a number in the box B that substracted to a number from the box A give us 5. These both numbers are 15 and 10 because 15 - 10 = 5.
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Answer:
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Step-by-step explanation:
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thanks in advance ill mark brainliest
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Answer:
100º
Step-by-step explanation:
Cooresponding angles are congruent
11x + 1 = 10x + 10
Subtract 10x from both sides
x + 1 = 10
subtract 1 from both sides
x = 9
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Dad bought 4 large pizzas. He ate 1 4/6 pizzas for dinner on Monday and 1 3/6 pizzas for lunch on Tuesday. How much pizza was left?
Answers
Answer:
5/6 pieces
Step-by-step explanation:
1 4/6 + 1 3/6 = 3 1/6
3 6/6 - 3 1/6 = 5/6
10/6 + 9/6 = 19/6
4/1 = 24/6
24/6 - 19/6 = 5/6
odp.: Zostało mu 5/6 pizzy.
you will be given ultimate cookie and 20 pts
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Step-by-step explanation:
Answer:
-4,-3,0,2
Step-by-step explanation:
Decimals that are higher is the less than the smallest
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Answer:
none
Step-by-step explanation:
Rita is adding 3 + (negative 8) + 1. She rewrites the expression as 3 + (negative 1) + 8.
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A patient is prescribed Coreg 12.5 mg by mouth twice a day. How many tablets should the patient
receive for one dose if the medication available is 6.25 mg/tablet?
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Answer:
yes...
Step-by-step explanation:
k
Help help help help help help help please
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Answer:
B I think.
Step-by-step explanation:
Answer:
270
Step-by-step explanation:
The figure B is just one 90° rotation away from becoming A, i.e.,
If we rotate B 90° counterclockwise, we get A.
To obtain the same figure after rotating it (counterclockwise or clockwise), the minimum degrees required are 360
So, B becomes A after 90° of rotation, while A becomes A after 360° rotation (in the same direction)
That means,
[tex] \boxed{ \mathsf{Angle \: of \: rotation \: + 90 \: = \: 360}}[/tex]
(angle of rotation is the angle which A turns about in order to line itself with B)
_________________
That makes it 270°
(10 points!!!) AND I’LL MAKE YOU BRAINLEST
I ALREADY KNOW THE ANSWER I JUST WANT THE EXPLANATION!!
The answer is ( Jose, $901.31 more)
Janell deposits $2,000 and for 5 years leaves it in an account earning 3% annual interest, compounded quarterly. For 5 years, José saves and deposits $150 per quarter in an account earning 3% interest compounded quarterly. Who will have more money in the account after 5 years? How much more?
Use the table below to answer:
Answers
Answer:Jose will make 901.31 more
Step-by-step explana
Consider the following equation.
4x+5y=11
Step 1 of 2 : Determine the missing coordinate in the ordered pair (−2,?) so that it will satisfy the given equation.
Answers
x-intercept = 11/4 = 2.75000
y-intercept = 11/5 = 2.20000
Matthew poured 28 quart of lemonade from a pitcher into a smaller container. There was 58 quart left in the pitcher. What amount of lemonade did Matthew originally have in the pitcher?
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Answer:
86 quarts
Step-by-step explanation:
If you took away 28 quarts and were left with 58 quarts then you add the two numbers to get 86 quarts which is what you started with.
Find the perimeter of the figure
Answers
Answer:
51 miles
Step-by-step explanation:
perimeter is distance around the outside of figure.
there are three sides with 17 mi. That means the perimeter is 51 miles
B p=51mi.
explanation:
p=a+b+c=17+17+17=51
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Answers
Answer:
Step-by-step explanation:
1 3/10 x 18
(1 x 10 +3)/10 = 13/10
13/10 x 18 = (13 x 18) / 10 = 234/10 = (234/2) / (10/2) = 117/5 = 23 2/5 (a fraction is a division)
The answer to the expression showing the product of 1 3/10 x 18 is 23 2/5.
Given is an expression showing the product of 1 3/10 x 18, we need to solve it,
To multiply a mixed number by a whole number, you can convert the mixed number to an improper fraction and then multiply the fractions.
Here's how you can solve the problem:
Step 1: Convert the mixed number to an improper fraction:
1 3/10 = (1 × 10 + 3) / 10 = 13/10
Step 2: Multiply the fractions:
13/10 x 18/1 = (13 x 18) / (10 x 1) = 234 / 10
Step 3: Simplify the fraction, if possible:
234/10 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:
234/10 = (234 ÷ 2) / (10 ÷ 2) = 117/5
Therefore, 1 3/10 x 18 = 117/5.
Alternatively, you can express the answer as a mixed number by dividing the numerator by the denominator:
117 ÷ 5 = 23 with a remainder of 2
So, the final answer is 23 2/5.
Learn more about mixed numbers click;
https://brainly.com/question/24137171
#SPJ6
Solve the equation for B. PLEASE SHOW YOUR WORK.
2(B + 3.5 - B = -3(6 - 2B)
Answers
9514 1404 393
Answer:
B = 5
Step-by-step explanation:
The given equation has mismatched parentheses. We assume the intent is ...
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c. 8, 10, 12, 14, … [ A. Arithmetic Sequence , B. Not an Arithmetic Sequence ]
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Answer:
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Step-by-step explanation:
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Answer:
Easy
Step-by-step explanation:
Answer: 36,000 divided by 90 is 400
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400
Step-by-step explanation:
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Step-by-step explanation:
x = 2
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Answer:
4(-8x+5) - (-33x-26)
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collect like terms
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Step-by-step explanation:
x-6
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y - 1 = -4 (x + 2)
y - 4 = -2 (x - 1)
y - 1 = 4 (x - 2)
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the answer is A
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
[tex]=\frac{34}{15}[/tex]
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Step-by-step explanation:
With unlike denominators find the Least Common Denominator (LCD)
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Answers
Answer:
f¹(x) = x - 3
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Rewrite the function f(x) = x + 3
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= y + 3
3 - 3
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Step-by-step explanation:
brainlies me plss
[tex]f(x) = x -3 \\\\\text{Write f(x) as}~ y = x -3}\\\\\text{Now replace x and y,}\\\\x = y-3\\\\\text{Solve for y:}\\\\y = x+3 \\\\\implies f^{-1}(x) = x +3 ,~ \text{This is the inverse of given function.}[/tex]
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I will give brainliest for answer and explanation
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Step-by-step explanation:
The two parallel sides of a trapezium are 19.8 and 7.2 cm. If the area of the trapezium is 135 sq cm find the distance between its parallel sides
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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a = top
b= bottom
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135=13.5h
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