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:
C and D
Step-by-step explanation:
Hope this helps :)
A line has a slope of -4. The line passes through the point (-2,1). What is the point- slope form of the line?
y - 1 = -4 (x + 2)
y - 4 = -2 (x - 1)
y - 1 = 4 (x - 2)
y - 2 = -4 (x - 1)
Answers
Answer:
the answer is A
I followed the point slope formula and added in the x and y values
14/15 + 8/15 + 4/5 please help
Answers
Answer:
[tex]=\frac{34}{15}[/tex]
[tex]=2\frac{4}{15}[/tex]
Step-by-step explanation:
With unlike denominators find the Least Common Denominator (LCD)
LCD = 15
Multiplying numerators and denominators to get the LCD in all fraction denominators
[tex]=\frac{14}{15} +\frac{8}{15} +\frac{4*3}{5*3}[/tex]
With like denominators we can operate on just the numerators
[tex]=\frac{14+8+12}{15}[/tex]
[tex]=\frac{34}{15}[/tex]
Simplifying the answer
[tex]=\frac{34}{15} \\=2\frac{4}{15}[/tex]
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
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
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ninth grade teacher is going skipping 30 to each class
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
Answers
Answer:
67.72
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
The area of a Trapezium is
(a+b)/2 * h where
a = top
b= bottom
h- height, distance between the two parallel sides (ie the top and bottom)
135 = (19.8+7.2)/2 *h
135=13.5h
h= 10
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
36,000÷?=90 PLS HELP
Answers
Answer:
Easy
Step-by-step explanation:
Answer: 36,000 divided by 90 is 400
Answer:
400
Step-by-step explanation:
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.
4(-8x+5)-(-33x-26)=[tex]4(-8x+5)-(-33x-26)=[/tex]
Answers
Answer:
4(-8x+5) - (-33x-26)
-32x+20+33x-26
collect like terms
-32x+33x+20-26
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Step-by-step explanation:
x-6
1 3/10 x 18 please show work and answer
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
thanks in advance ill mark brainliest
Answers
Answer:
100º
Step-by-step explanation:
Cooresponding angles are congruent
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x + 1 = 10
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Please find the correct answer I will give brainliest and 4 stars.
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you're correct
find the inverse of the function F(x)=x-3
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Answer:
f¹(x) = x - 3
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Step-by-step explanation:
brainlies me plss
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Answers
Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
x = 2
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Answers
b bcause i knew it and i mean i have a 5.0 gpa
Help help help help help help help please
Answers
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]
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_________________
That makes it 270°
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You have a photo to show the work?
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Step-by-step explanation:
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?
Answers
Answer:
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Step-by-step explanation:
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(10 points!!!) AND I’LL MAKE YOU BRAINLEST
I ALREADY KNOW THE ANSWER I JUST WANT THE EXPLANATION!!
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Use the table below to answer:
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Step-by-step explana
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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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Eliminating parentheses, we have ...
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Determine whether each sequence is an arithmetic sequence.
a. 3, 6, 12, 24 … [ A. Arithmetic Sequence , B. Not an Arithmetic Sequence ]
b. 1.5, 4.5, 7.5, 10.5, … [ A. Arithmetic Sequence , B. Not an Arithmetic Sequence ]
c. 8, 10, 12, 14, … [ A. Arithmetic Sequence , B. Not an Arithmetic Sequence ]
d. 9, 5, 1, –3 … [ A. Arithmetic Sequence, B. Not an Arithmetic Sequence ]
e. –2, 8, –18, 28, … [ A. Arithmetic Sequence , B. Not an Arithmetic Sequence ]
Answers
Answer:
a) A. Arithmetic Sequence
b) A. Arithmetic Sequence
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Step-by-step explanation:
if there is a common difference it is arithmetic, if there not then it is not arithmetic.
a) d= 3
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What is the Ratio of 129 215
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Answer:
none
Step-by-step explanation: