Consider the equations shown: ax + by = ab & 2ax + 3by = 3b

Which of these is the value of y in terms of a?

Option 1 : y = 3a – 35

Option 2 : y = 2ab – 3b

Option 3 : y = 9a – 35

Option 4: y = 3 – 2a

Answers

Answer 1

Answer: [tex]y=3-2a[/tex], Option 4

Step-by-step explanation:

[tex]\left \{ {ax + by = ab} \atop {2ax + 3by = 3b}} \right.[/tex]

multiply 2 at [tex]ax+by=ab[/tex]

[tex]2ax+2by=2ab[/tex]

subtract [tex]2ax + 3by = 3b[/tex] and[tex]2ax+2by=2ab[/tex]

[tex]by=3b-2ab[/tex]

[tex]y=3-2a[/tex]


Related Questions

A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees

Answers

Answer:

0.9962

Step-by-step explanation:

The objective of this question is to determine the proportion of average city temperature that is lower than that of Singapore.

Suppose X is a random variable that follows a normal distribution:

Then;

[tex]X \sim N ( \mu = 20.66, \sigma = 2)[/tex]

[tex]P(X< 26) = P \bigg ( Z < \dfrac{26 - 20.66}{2} \bigg)[/tex]

[tex]P(X< 26) = P \bigg ( Z < \dfrac{5.34}{2} \bigg)[/tex]

[tex]P(X< 26) = P \bigg ( Z < 2.67\bigg)[/tex]

From the z tables;

P(X< 26) = 0.9962

Thus, there is 0.9962 proportion of average city temperature are lower than that of Singapore.

Answer:

0.9962

Step-by-step explanation:

A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees

What proportion of average city temperatures are lower than that of Singapore?

Solution:

The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = 20.66, σ = $2

For the average temperature of Singapore of 26°, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{26-20.66}{2} =2.67[/tex]

From the normal distribution table, P(x < 26) = P(z < 2.67) = 0.9962

HELP I DONT UNDERSTAND. I WILL GIVE BRAINLIEST (foolish answers will be reported)

Answers

Answer:

A

Step-by-step explanation:

Find the area of this trapezoid. Be sure to include the correct unit in your answer.

Answers

I’m not completely sure but I think that’s it’s 50cm^2

One dollar can buy a bottle of mineral water two empty bottles can be exchanged for a bottle of mineral water question:how many bottles of mineral water can you drink at most with 20 dollars

Answers

Step-by-step explanation:

If one dollar can buy a bottle of mineral water, then;

$1 = 1 bottle

To determine the amount of mineral water you can drink  with at most  20 dollars, we will say;

$20 = x bottle

Solving both equality postulate;

$1 = 1 bottle

$20 = x bottle

Cross multiply

1 * x = 20 * 1

x = 20

Hence about 20 bottles of mineral drink can be bought with at most 20 dollars

Answer: 39

Step-by-step explanation:

You exchange $20 for twenty bottles of mineral water.

[Drank: 20

Exchanged: 20/2=10]

[Drank: 20+10

Exchanged: 10/2=5]

[Drank: 20+10+5

Exchanged: 4/2=2]

[Drank: 20+10+5+2+1

Exchanged: 2/2=1]

Drank in total: 20+10+5+2+1+1

which is = 39

In ΔMNO, the measure of ∠O=90°, OM = 1.8 feet, and NO = 4.1 feet. Find the measure of ∠M to the nearest degree.

Answers

Answer:

66°

Step-by-step explanation:

tan β = [tex]\frac{4.1}{1.8}[/tex]

β = arctan [tex]\frac{4.1}{1.8}[/tex] ≈ 66°

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)

Answers

Answer:

B

Step-by-step explanation:

answer is B

and what is ypur grades

Write each fraction in simplest form.
1) 4/8
2) 3/9
??
22
3) 9/12
??
4) 3/6
??

Answers

Step-by-step explanation:

1. 4/8=1/2

2.3/9=1/3

3.9/12=3/4

4.3/6=1/2

Find an equation in slope-intercept form of the line that has a slope -7 and passes through point A(-7, -2)
A. y = 7x - 51 B. y = -7x - 51 C. y = -7x + 51 D. y = 51x - 7

Answers

Answer:

slope(m)=change in y/change in x

-7=y-(-2)/x-(-7)

-7=y+2/x+7

-7(x+7)=y+2

-7x-49=y+2

-7x-49-2=y

-7x-51=y (B)

Using the divisibility rules, explain why 678 is divisible by 2, 3, and 6.

Answers

Answer:

678

678 is even, so it's divisible by 2

6+7+8 = 21, which is divisible by 3, so 678 is divisible by 3

Since 678 is divisible by both 2 and 3, it has to be divisible by 6

Step-by-step explanation:

Which of the following values are solutions to the inequality

Answers

i used socratic for that one

I need this answer ASAP!!!!!!
What is 1 + 2?

Answers

Ummmmmm I think it’s 12

Answer:

3

Step-by-step explanation:

Will give brainiest
Surds
Step by step explanation please on this question
Make sure to use Surds

Answers

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

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

Answers

The equation of the line is Y =22x + 10

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?

Answers

an hour is 60 minutes so we would do 60x11 which equals 660 then divide by 3 which is 220 so 220 minutes is your answer

HELP PLEASE
in order!!!

Answers

Answer:

m<6=54 m<4=126

Step-by-step explanation:

Find three consecutive even integers suche
that one half of their sum is between 15
and 21.

Answers

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.

write 28 + 24 as a product of two factors using the GCF and the distributive property

Answers

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

find the sum of the first 20 terms 1.5, 1.45, 1.40, 1.35

Answers

Answer: 20.5

Step-by-step explanation:

subtract 0.05 from each answer until you get 20 terms then add those terms up

iven: PA = PC and BA = BC. Use the diagram to find the length described.

Suppose PA = 15 cm and PB = 9 cm. What is the length of AC?

pabc

AC is
cm in length.

Answers

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[tex]BA = BC = 12[/tex]

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[tex]AC = BA + BC[/tex]

[tex]AC = 12 + 12[/tex]

[tex]AC = 24[/tex]

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Write the equation in point-slope form
of the line that passes through the point
(4, -7) and has a slope of -1/4.

Answers

Answer:

first i know but idk then

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

Answers

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.

Find the value of x that makes m ∥ n .

Answers

Answer:

60

Step-by-step explanation:

(2x+15)=135    They're corresponding angles so they equal/congruent

     -15   -15       Subtract 15 on both sides since you're looking for x

2x = 120       Bring down the remains and subtract 135 from 15

 2        2        Add 2 on both sides

x= 60            Divide.

7 (3 - 0.5k) 3k - 5​

Answers

Your answer is going to be 63k-10.5k square 2 -5

Step-by-step explanation:

63k -10.5k square 2-5 and you have you answer

a b c d ?? help me pleas and ty

Answers

Answer:

a

Step-by-step explanation:

Answer:

a is the answer hopw this helps

Selina has $50. She wants to buy some donuts which cost $2.80 each. How many donuts can she buy?

Answers

Answer:

50/2.80= 17

17 dounuts

Which graph displays a directly proportional relationship?

Answers

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:

https://brainly.com/question/23087740

#SPJ2

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?

Answers

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:

CAN YOU HELP ME thank you 10pts

Answers

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°

2x+3y=122, x, plus, 3, y, equals, 12
Complete the missing value in the solution to the equation.
((left parenthesis
,8),8)

Answers

she me he sid sud iebe Howie

if triangle GHI is equilateral and JHK is isosceles, what is the measure of JHK

Answers

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:

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