Answer:
6/7
Step-by-step explanation:
2/3X9/7
simplify 9 by 3
which equals:
2/1X3/7
=6/7
(20pts)prove that the difference of the squares of two consecutive integers is equal to the sum of the integers, whenever the larger of the two integers comes first
Answer:
see below (I hope this helps!)
Step-by-step explanation:
If the two numbers are x and x + 1, then:
(x + 1)² - x²
= x² + 2x + 1 - x²
= 2x + 1
= x + (x + 1)
this expression 3x+8+4x+2x has four what?
Answer:
polynomials
Step-by-step explanation:
Answer: The expression has four terms.
In Algebra, a term is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs, or sometimes by division signs.
Hope this helps!
∠A and \angle B∠B are supplementary angles. If m\angle A=(7x+10)^{\circ}∠A=(7x+10) ∘ and m\angle B=(7x-26)^{\circ}∠B=(7x−26) ∘ , then find the measure of \angle A∠A
Answer:
x = 25
Step-by-step explanation:
The measure of angle A is 108°
What is a angle?An angle is formed when two straight lines or rays meet at a common endpoint.
What is a supplementary angle?Supplementary angles are those angles that sum up to 180 degrees.
Given that angle A and angle B are supplementary angle
∠A=(7x+10)°
∠B=(7x−26)°
(7x+10)° + (7x−26)° =180°
14x - 16° =180°
14x =196°
x= 14°
∠A=(7x+10)°
∠A=(7(14) +10)°
∠A= 108°
Thus the measure of angle A is 108°
To know more about supplementary angles click here
https://brainly.com/question/13045673
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If p, q and r were three statements such that p → q and q → r then p → r, this is called
Answer: Law of syllogism
Step-by-step explanation:
Law of Syllogism is described as
a logical reasoning by using transitivity.a valid argument that applies deductive reasoning to get the final statement. it is similar to transitive property that if a=b and b=c then a=c.So if p, q and r were three statements such that p → q and q → r then p → r, this is called law of syllogism.
For example: When Rita gets internet Shamy gets internet. When Shamy gets internet Raj gets internet.
By law of syllogism : When Rita gets internet Raj gets internet.
A basket of fruit contains 4 bananas, 3 apples, and 5 oranges. You intend to
draw a piece of fruit from the basket, keep it, draw a 2nd piece of fruit from the
basket, keep that, and then draw a third piece of fruit from the same basket. What
is the probability of selecting one banana, then one apple, then one orange, in
that order, from the basket if you are blindfolded?
Hi
draw 1 : 4/12 = 1/3
draw2 : 3/11
draw 3 : 5/10 = 1/2
so probability to have : 1 banana then 1 apple then 1 orange is : 1/3*3/11*1/2 = 3/66 = 3*1 / 2*3*11 = 1/22
Answer:
1/22
Step-by-step explanation:
Work out the probability of selecting each fruit then times them together so
there are 12 fruits in total and 4 bananas so the chance of selecting a banana is 4/12 simplified 1/3
then as you dont put the banana back there is only 11 fruits left in the basket and 3 are apples so the chance of selecting an apple is 3/11
then as you dont put the apple back there is only 10 fruit left in the basket and 5 are oranges so the chance of selecting an orange is 5/10 simplified 1/2
then we multiply them all together 1/3 x 3/11 x 1/2 3/66 to get which simplifies to 1/22
help me with this plzzzzz
Answer:
C
Step-by-step:
The answer is c because 7.6 & 8.2 are both rational numbers and it goes onto natural numbers. They are also ordered in the from least to greatest like on a number line, 7.6, 8.2, 50, 65, 78. Plus, I'm kinda on the same unit.
Rita is 8 years older than Fati. If Fati is 15 years now, how old was Rita 3 years ago
Answer:
Rita is 20 years old
Step-by-step explanation:
If you add 8 years to Fati's age, (15+8), you get 23. That is Rita's age right now. Now subtract 3 from 23. You get 20. So Rita is 20 years old.
Use the distributive property to solve 2(3x+4p-8)
Answer:
6x + 8p - 16
Step-by-step explanation:
Given
2(3x + 4p - 8) ← multiply each term in the parenthesis by 2
= 6x + 8p - 16
Answer:
Step-by-step explanation:
2(3x + 4p - 8)= 2*3x + 2* 4p + 2*(-8)
= 6x + 8p - 16
What is the change in temperature from 20 degrees to -8 degrees ?
Answer:
28 degrees relatively
Step-by-step explanation:
20-(-8)
Answer:
20 degrees Celsius to Fahrenheit
20 degrees Celsius (ºC) are equal to 68 degrees Fahrenheit (ºF):
20ºC = 68ºF
Calculation
The temperature T in degrees Fahrenheit (ºF) is equal to 20 degrees Celsius (ºC) times 9/5 plus 32:
T(ºF) = 20ºC × 9/5 + 32 = 68ºF
11) 19, 13, 7, 1...
Explicit:
Recursive:
13) -3,-1,1, 3...
Explicit:
Recursive:
Can someone help me die in 10 min
Answer:happy
Step-by-step explanation:
Vg
A coat originally cost $130. Now it is on sale for 60% of its original cost. What is the sale
price of the coat?
OA) $78
B) $70
OC) $52
OD) $40
Answer:
Step-by-step explanation:
b-78
3x + 5 = 2x + 2 -(x-3) Pls show work too, thanks :)
Answer:
X=0
Step-by-step explanation:
1.Remove the parentheses
3x + 5 = 2x + 2 -(x-3) -> 3x+5=2x+2-x+3
2.Combine like terms
3x+5=2x+2-x+3 -> 3x+5=x+5
3.Cancel Equal Terms
3x+5=x+5 -> (subtract 5 from both sides) 3x=x
(subtract x from both sides) 3x=x -> 3x-x=0
4.Combine like terms
3x-x=0 -> 2x=0
5.Get rid 2 so divide both sides by 2
2x= 0 -> [tex]\frac{2x}{2}[/tex]=[tex]\frac{0}{2}[/tex] ->
x=0
8(-b+4)=
idk what the answer is please help
Answer:
-8b+36 is the answer.
Step-by-step explanation:
=8(-b+4)
Opening brackets to simplify
=8✖️(-b)+8✖️4
=-8b+36 is the answer.
Hope this will help you :)
I need help! I can’t understand!
what is 7500×5643 ÷3
Answer:
14107500Step-by-step explanation:
[tex]7500 \times 5643 \\ = \frac{42322500}{3} \\ = 14107500[/tex]
Answer:
[tex]\Large \boxed{14107500}[/tex]
Step-by-step explanation:
There are different ways to do this;
1. ⇒ (7500×5643)÷3
⇒ 42322500÷3
⇒ = 14107500
2. ⇒ 7500*5643/3
⇒ 42322500/3
⇒ =14107500
^ Two ways you could have solved the Q.
Answer; 14107500
A local dog show features 8 Portuguese water dogs. The weights of the dogs are 38, 40, 42, 46,
45, 39, 42, 40. What are the mean and median weights of the Portuguese water dogs in the dog
show?
Answer:
[tex] \boxed{ \bold{ \sf{Mean \: = 41.5}}}[/tex]
[tex] \boxed{ \bold{ \sf{Median = \: 41}}}[/tex]
Step-by-step explanation:
Given weights of the dogs :
38 , 40 , 42 , 46 , 45 , 39 , 42 , 40
Find the sum of the whole data:
sum of all items ( Σx ) = 38 + 40 + 42 + 46 + 45 + 39 + 42 + 40 = 332
Number of items ( n ) = 8
To find mean, divide the sum by the total number of data.
Finding the mean weights:
[tex] \boxed{ \sf{Mean = \: \frac{ Σx}{n}}} [/tex]
⇒[tex] \sf{ \frac{332}{8} }[/tex]
⇒[tex] \sf{41.5}[/tex]
Mean weights = 41.5
-----------------------------------------------------------------------
Finding the median
To find the median, arrange the given data in ascending order.
Given data : 38, 40 , 42 , 46 , 45 , 39 , 42 , 40
Arranging the data in ascending order :
38 , 39 , 40 , 40 , 42 , 42 , 45 , 46
Total number of observation ( n ) = 8
Finding the position of median
[tex] \boxed{ \sf{Position \: of \: median = ( \frac{n + 1}{2} ) ^{th} item}}[/tex]
⇒[tex] \sf{( \frac{8 + 1}{2} ) ^{th} item}[/tex]
⇒[tex] \sf{( \frac{9}{2} ) ^{th} item}[/tex]
⇒[tex] \sf{ {4.5}^{th} item}[/tex]
4.5 th item is the average of 4 th and 5th items .
Here, 4 th item = 40
5 th item = 42
Finding the median
[tex] \boxed{ \sf{Median = ( \frac{{4}^{th} \: item + {5}^{th} item}{2}) }}[/tex]
⇒[tex] \sf{ \frac{40 + 42}{2} }[/tex]
⇒[tex] \sf{ \frac{82}{2} }[/tex]
⇒[tex] \sf{41 }[/tex]
Hope I helped!
Best regards!!
Answer:
A local dog show features 8 Portuguese water dogs. The weights of the dogs are 38, 40, 42, 46,
45, 39, 42, 40. What are the mean and median weights of the Portuguese water dogs in the dog
show?
Step-by-step explanation:
Find the area of the triangle below. Be sure to include the correct unit in your answer. I need help please
Identify the range of the function. A) (2, 8) B) [2, 8] C) (−5, 9) D) [−5, 9]
Answer:
The answer is "Option A"
Step-by-step explanation:
The domain is the collection of the value, which belongs to the separate variable (horizontal axis). So, to find a region with a graph, it must search for the function, which starts and end. And at all these levels we are searching at x-values.
Its starting point is (2,9) and the ending point is (8,3). Therefore, x= 2 to x=8 is the domain.
Ben rents a car for one day. The charge is $20 plus the $0.12 per mile. He wants to spend exactly $80. How many miles can he drive? Write and solve an equation to find how many miles Ben can driv
Answer:
Ben can drive 500 miles for $ 80
Step-by-step explanation:
Let y be the cost of traveling and x be the number of miles . The charge is $20 plus the $0.12 per mile which means the cost $ 20 is constant and an additional cost of $ 0.12 is spent on every mile. Then according to the given conditions the equation will be
y = $20 + $ 0.12(x) where x is the number of miles
Now we can solve x for y= 80
$ 80= $20 + 0.12 (x)
$ 60 = 0.12x
x= 60/ 0.12= 500
Ben can drive 500 miles for $ 80
Make x the subject of the formula a(x-b)=a^2+bx
Answer:
x = [tex]\frac{a(a + b)}{a-b}[/tex]
Step-by-step explanation:
Step 1: Write out formula
a(x - b) = a² + bx
Step 2: Distribute
ax - ab = a² + bx
Step 3: Add ab to both sides
ax = a² + bx + ab
Step 4: Subtract bx on both sides
ax - bx = a² + ab
Step 5: Factor
x(a - b) = a² + ab
Step 6: Divide (a - b) on both sides
x = [tex]\frac{a^{2} + ab}{a-b}[/tex]
Step 7: Factor
x = [tex]\frac{a(a + b)}{a-b}[/tex]
And we have our final answer!
Which of the following is an example of the associative property of multiplication?
7 · (3 · 5) = (7 · 3) · 5
7 · (3 + 5) = 21 + 35
7 · (3 · 5) = 7 · (5 · 3)
7 · 1/7 = 1
Answer:
Option A
Step-by-step explanation:
7 * (3 * 5) = (7*3) * 5
Associative Property:
When three or more numbers are multiplied, the product is always same regardless of the regrouping
Answer:
a is correct cause foot
If x+3y=7 and x-3y=1 what's y
Subtract one equation from the other to eliminate x :
(x + 3y) - (x - 3y) = 7 - 1
6y = 6
y = 1
Set up an equation for the following scenario: A wedding reception needs 3 chairs for every 4 people.
How many chairs, y, would be needed for x people?
When planning the new town hall, the architect planned for 50 offices. only 5 will be on the 1st floor. what percentages of offices will be on floors above the first floor?
A)5%
B)90%
C)50%
D)10%
Answer:
5 upon 50
5/50 X 100%
1/10 X 100%
10 %
is your answer
plz brainlist me please
Determine the volume of the CD box shown
7.5 in
6.25 in.
8 in
I hope this helps you
Rectangular Prism Volume is
Height. Width. Height
(6.25).(7.5).(8)
375
8.45 +0.7 correct to 3 decimal places
Answer:
9.15
Step-by-step explanation:
Answer:
9.15 or 9.150
Step-by-step explanation:
The correct answer base on the numbers given is 9.15. But for you to get the 3 decimal answer of 9.150 you would add two 0's to the .7 making it .700.
8.45
+ .700
9.150
it's from Khan Academy and there are answer choices it's called interpet negative number addition and subtraction expression
Answer: Hi!
Answers B and D are correct.
For B, since negative numbers are on the left side of the number line, a positive number would have to be to the right of a negative number. Since we are adding a negative and a positive number of the same absolute value (9), they would cancel out to 0, which makes D true.
Hope this helps!
Hi there! Hopefully this helps!
-----------------------------------------------------------------------------------------------------
Answers: D, B.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Explanation for D: -9 + 9 = 0.
Explanation for B: Negative numbers are on the LEFT side of the number line.
And positive numbers are on the right.
Therefore, 9 is to the RIGHT of -9 on the numberline.
7n+5=96 so what is the answer
Answer:
n = 13
Step-by-step explanation:
7n + 5 = 96
Subtract 5 from both sides to get rid of the 5 on the right side:
7n + 5 - 5 = 96 - 5
7n = 91
Divide both sides by 7 to get rid of the coefficient of n:
7n / 7 = 91 / 7
n = 13
Answer: [tex]n=13[/tex]
Subtract 5 from both sides
[tex]7n+5-5=96-5\\7n=91[/tex]
Divide both sides by 7
[tex]7n/7=91/7\\x=13[/tex]
In her last four basketball games, Alexi has scored 12, 14, 26, and 40 points. If the pattern continues, how many points will Alexi score in her next game?
Answer:
its 26. Just take my word for it
Step-by-step explanation:
14-12=2
26-14=12
40-26=14
You see the pattern. Alexi will score 26 pts. btw, this goes against the laws of probability, but whatever.
It’s either D or E; please help
Thirty overweight males agree to participate in a study of the effectiveness of three weight-loss treatments: X, Y, and Z. The researcher calculates the
body fat composition of each subject. The response variable is the reduction in body fat after six weeks of treatment. Previous studies have shown the
effects of a diet may vary based on a subject's initial body fat composition. How should the subjects be blocked? Explain.
They should be blocked alphabetically so the subjects are as different as possible.
They should be blocked by age because weight loss is more difficult to achieve as you get older.
They should be blocked by height because weight loss is easier to achieve for taller people.
They should be blocked by body fat composition so the subjects are as similar as possible.
Blocking should not be used in this experiment.
Answer:
They should be blocked by body fat composition so the subjects are as similar as possible.
Step-by-step explanation:
It's D .
Blocking here means how should the subjects be arranged in terms of body fat or weight.
Option A is wrong because alphabetically controlling body fat would not get desired results.
Option B is wrong because different age groups would yield different results.
Option C is wrong also because weight loss is not dependent on taller people.
Option D is correct because controlling body fat would yield best possible results in ascending or descending order
Option E is incorrect because arranging data in ascending or descending order would simplify the researches experiments.