=====================================================
Work Shown:
For now, let's assume they are equal. We'll show a contradiction happens.
5/6 = 2/3
5*3 = 6*2 ... cross multiply
15 = 12 ... here's the contradiction
If the original equation was true, then we would get the same thing on both sides in the final step shown above. However, we get a contradiction, so that means the original equation is false.
Furthermore, the left side is larger in the third step, so the left side is larger for each of the three steps. We can then say
5/6 > 2/3
5*3 > 6*2
15 > 12
Which helps show 5/6 is larger than 2/3.
---------------------
Or you can use a calculator to see that
5/6 = 0.833 approximately
2/3 = 0.667 approximately
which shows the two fractions aren't equal and 5/6 is larger.
if triangle GHI is equilateral and JHK is isosceles, what is the measure of JHK
Answer:
The measure of JHK is 25 degrees
Step-by-step explanation:
If GHI is equilateral, it means each of the angles are equal to 60 degrees
Thus;
7x - 31 = 60
7x = 60 + 31
7x = 91
x = 91/7
x = 13 degrees
The measure of JHK IS x + 12
simply insert the value of x here
Angle JHK = 13 + 12
Angle JHK is 25 degrees
Answer: 25
Step-by-step explanation:
Find three consecutive even integers suche
that one half of their sum is between 15
and 21.
9514 1404 393
Answer:
10, 12, 14 and maybe {8, 10, 12} and {12, 14, 16}, depending on the meaning of the question
Step-by-step explanation:
If x is the middle one, then their sum is 3x. You want ...
15 < 3x/2 < 21 . . . . assuming "between 15 and 21" does not include 15 or 21
30 < 3x < 42
10 < x < 14
The only even integer in that range is 12, so the three integers are ...
10, 12, 14 . . . . . half their sum is 18
__
We have used <, rather than ≤ in the above solution. This assumes that "between" does not include the values at the end of the range. If those values are included, then two additional solutions are possible: {8, 10, 12} and {12, 14, 16}. For the first set, the half-sum is 15; for the second set, the half-sum is 21.
first correct answer will get brainliest
Write the equation in point-slope form for the line that passes through the given point and has the given slope. (1, 2), slope 3
Answer:
y-y1 = m(x-x1)
y - 2 = 3(x-1)
y=3x-3+2
y=3x-1
Step-by-step explanation:
first you type down point slope formula
then you plug in the information you have point (1,2) 1 is x1 and 2 is y1 m is 3 because m = slope
then you have to distribute the 3 to the x and the -1 and then isolate y
(how to isolate the y) you must do the opposite of -2 which is +2 whatever you do on one side you have to do to the other
then you combine like terms 3x is alone and -3 +2 equals -1
there is your answer hope that works.
Write the equation in point-slope form
of the line that passes through the point
(4, -7) and has a slope of -1/4.
Answer:
first i know but idk then
Which of the following equations is written in factored form?
O y= 2x² + 3x – 8
o y= 3 (2 + 5) (2 – 2)
o y=-2(1 + 5)2 – 2
O y = 3.2 - 5
Need help please!!
Answer:
Option B is correct option.
Step-by-step explanation:
We need to identify equations written in factored form.
Factored form: A factored form of expression is an expression broken down into a product of its factors.
In the given options A, C and D we don't have product of factors.
Only option B consists of product of factors.
So, Option B is correct option.
2/3y + 3/4 = 8/9
help
Answer:
y = 5/24
Step-by-step explanation:
2/3 = 24/36
3/4 = 27/36
8/9 = 32/36
32-27 = 5
5/36 / 2/3 = 15/72 = 5/24
Answer:y=5/13
Step-by-step explanation:
8/9-3/4 is 5/36
divide by 2/3 is
PLEASE PLEASE PLEASE HELP I WILL GIVE XTRA POINTS AND BRAINALIST TO FIRST PERSON
Answer:
the answer is A because it has all numbers less than 15
Step-by-step explanation:
to increase an amount by 19% multiple by?
Answer:
1.19
Step-by-step explanation:
The original full amount is 100%.
When you increase the full amount by 19%, you add 19% of the full amount to the full amount, so now you have 119%.
To find 119% of an amount, multiply he amount by 1.19 since 119% = 1.19
Answer: 1.19
The cake store is having a 25 percent off sale on all of its cakes. If the cake you want reguarly cost 9$, how much would you save with the discount?
write 28 + 24 as a product of two factors using the GCF and the distributive property
Answer:
4 x 13
Step-by-step explanation:
GCD of 28 and 24 is 4
28 = 4 x 7
24 = 4 x 6
u take the 4 out
4 (7 + 6)
4 x 13
The product of two factors using the GCF and the distributive property is 4(13).
What is the meaning of the greatest common divisor/factor?
The largest integer of highest degree that is an exact divisor of each of two or more integers.
The greatest common divisor of 24 and 28
24=2×2×2×3
28=2×2×7
We can see that the 2 and 2 is common in 24 and 28
The GCD of 28 and 24 is=2×2= 4
For the distributive property we have
28 = 4 x 7
24 = 4 x 6
we take the 4 out
4 (7 + 6)
=4 x 13
Therefore the GCD is 4 and by distributive property product is 4(13).
To learn more about the product visit:
https://brainly.com/question/10873737
CAN YOU HELP ME thank you 10pts
9514 1404 393
Answer:
m∠CAB = 62°
m∠CBG = 114°
Step-by-step explanation:
Given:
the above figure
Find:
What are the measures of angles CAB and CBG
Solution:
The total angle at C is 32°+52° = 84°. We know that "remote interior" angles ECB and EBE have a sum that matches angle CEF.
So, angle CBE = 150° -84° = 66°
Angle CBG is the supplement of this, so is ...
m∠CBG = 180° -66° = 114°
That angle is the total of "remote interior" angles BCA and CAB. So angle CAB is ...
m∠CAB = 114° -52° = 62°
Parents getting divorced please help and you'll get the brainlliest
Answer:
C
Step-by-step explanation:
I hope this helps!! Feel better
Please help me, but the answer choices are
A) 4/3 (11) pi
B) V=2/3 (11) pi
C) V=4/3 (11)
D) V=2/3 (11)
Answer:
B
Step-by-step explanation:
answer is B
and what is ypur grades
simplify!!
6x - 2+7x
Answer:
13x-2
Step-by-step explanation:
Answer:
13x - 2
Step-by-step explanation:
6x - 2 + 7x
13x - 2
7 (3 - 0.5k) 3k - 5
Step-by-step explanation:
63k -10.5k square 2-5 and you have you answer
Twice a number n decreased by seven (ez points for ez question so answer )
HELP PLEASE
in order!!!
Answer:
m<6=54 m<4=126
Step-by-step explanation:
if you use synthetic division for this polynomial: 3x^5-12x^4+12x^3+30x^2-39x-42. What would the answer be?
Answer : x^5 - 4x^4 +4x^3 + 10x^2 - 13x - 14
Explanation :
(3x^5-12x^4+12x^3+30x^2-39x-42)/3 = x^5 - 4x^4 +4x^3 + 10x^2 - 13x - 14
Will give brainiest
Surds
Step by step explanation please on this question
Make sure to use Surds
Answer:
3
Step-by-step explanation:
You need to multiple 3 by 3 because 3 has an exponent. That makes the 3 into a 9. the square root of 9 is 3 so the answer is 3
Which graph displays a directly proportional relationship?
Answer:
top graph
Step-by-step explanation:
The graph of a proportional relationship is a straight line passing through the origin.
The only straight line graph passing through the origin is the top one
The graph on option A displays a proportional relationship.
Option A is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of the line on the graph is given as:
y = mx + c ____(1)
The graph on option A.
If the equation of a line is y = mx and the slope is a unit rate the graph shows proportional relationships.
We will select two points on the graph.
i.e
(2, 2) = (a, b) and (3.3) = (c, d)
Slope:
m = (d - b) / (c - a) = 3 - 2 / 3 - 2 = 1 / 1 = 1
Let (2, 2) = (x, y) and putting in (1) we get,
2 = 1 x 2 + c
2 = 2 + c
c = 2 - 2 = 0
c = 0
The slope of the line is 1
The equation of the line is y = x
Thus,
The graph displays a proportional relationship.
Option A is the correct answer.
Learn more about equation of a line here:
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I need this answer ASAP!!!!!!
What is 1 + 2?
Answer:
3
Step-by-step explanation:
Tickets to a baseball game cost $22 each and parking costs $10. What is the equation of the line that represents the cost of attending the game?
y-22=10x y=22x-10 y=22x+10 22x+y=10
Write each fraction in simplest form.
1) 4/8
2) 3/9
??
22
3) 9/12
??
4) 3/6
??
Step-by-step explanation:
1. 4/8=1/2
2.3/9=1/3
3.9/12=3/4
4.3/6=1/2
HELP I DONT UNDERSTAND. I WILL GIVE BRAINLIEST (foolish answers will be reported)
Answer:
A
Step-by-step explanation:
Stan, Greg, and Seth were cleaning the school gym in shifts. Stan
cleaned first, then Greg, then Seth. If they each cleaned the same
amount of time for a total of 11 hours, how many minutes did each one
clean?
a b c d ?? help me pleas and ty
Answer:
a
Step-by-step explanation:
Answer:
a is the answer hopw this helps
Shelly's Boutique had a Labor Day sale featuring 25% off any item. Tammy wanted to buy a blouse that originally sold for $21.99. To the nearest cent, how much will it cost her before tax to buy the blouse during the sale?
Given:
Original price of a blouse = $21.99
Sale = 25% off
To find:
The cost of blouse during the same before tax.
Solution:
Since Shelly's Boutique had a Labor Day sale featuring 25% off any item. It means price of each item in sale is 25% less than the original price.
[tex]\text{Price of blouse during sale}=21.99-25\%\text{ of } 21.99[/tex]
[tex]\text{Price of blouse during sale}=21.99-\dfrac{25}{100}\times 21.99[/tex]
[tex]\text{Price of blouse during sale}=21.99-0.25\times 21.99[/tex]
[tex]\text{Price of blouse during sale}=21.99-5.4975[/tex]
[tex]\text{Price of blouse during sale}=16.4925[/tex]
Approximate the value to the nearest cent (2 decimal places).
[tex]\text{Price of blouse during sale}\approx 16.49[/tex]
Therefore, the cost of blouse during sale is $16.49.
Answer:
16.49
Step-by-step explanation:
please help me in math
Selina has $50. She wants to buy some donuts which cost $2.80 each. How many donuts can she buy?
Answer:
50/2.80= 17
17 dounuts
Find the area of this trapezoid. Be sure to include the correct unit in your answer.