If a = -12/5, then 5x + 2y = 6 and 3x - ay = 4 are parallel.

Answers

Answer 1

5x +2y =6

Add -2y to both sides

5x=−2y+6

‌Divide both sides by 5

x=‌−2/5‌y +‌ 6/5‌

that into the second equation:

3(‌−2/5‌y+‌6/5‌)+‌12/5‌y =4

simplify

‌6/5‌y+‌18/5‌ =4

Add (-18)/5 to both sides

‌6/5‌y=‌2/5

divide both sides by 6/5

y = 1/3

substitute 1/3 for y in x = -2/5y +6/5 to solve for x

x = -2/5(1/3) +6/5

x = 16/15

so x = 16/15 and y = 1/3
now replace both x and Y in each of the original equations to check the answers:

5(16/15) +2(1/3) = 5 1/3 + 2/3 = 6 true

3(16/15) - -12/5(1/3) = 4 true
so they are parallel

Related Questions

Is the sequence geometric? If so, identify the common ratio. 1/5, 2/15, 4/45, 8/135, 16/405

Answers

a,ar,ar².... is the gp

now 2/15/1/5 = 2/3

and 4/45/2/15 = 2/3

therefore 2/3 is the common ratio

This is already answered by: Cerverusdante

So have the sequence: 1/5,2/15,4/45,8/135,16/405To check if the sequence is geometric, we are going to find its common ratio; to do it we are going to use the formula: r=(an)/(an-1)where r is the common ratio an is the current term in the sequence an is the previous term in the sequenceIn other words we are going to divide the current term by the previous term a few times, and we will to check if that ratio is the same:
For an= 2/15 and an-1=1/5 :r=(2/15)/(1/5)r=2/3
For an=4/45 and an-1=2/15:
r=(4/45)/(2/15)
r=2/3

For an=8/135 and an-1=4/45 :r=(8/135)/(4/45)
r=2/3
As you can see, we have a common ratio!
We can conclude that our sequence is a geometric sequence and its common ratio is 2/3
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If I divide 3 into 19 what will the remainder be

Answers

1 because 18/3=6 and 19-18=1

19/3 = 6 1/3

The remanded would be 1.

I hope this helps!

HEEEEEEEEEELLLLLLLLLLLLLLLLLPPPPPPPPPPPPPP PLZZZ

Use the expression 4(8 + 3x) to answer the following:

Part A: Describe the two factors in this expression.

Part B: How many terms are in each factor of this expression?

Part C: What is the coefficient of the variable term?

Answers

Asked and answered elsewhere.
https://brainly.com/question/9954194

The expression 4(8 + 3x) has two factors: the number 4 and the binomial (8 + 3x). The number 4 has one term, and the binomial has two terms (8 and 3x). The coefficient of the variable term 3x is 3.

In response to the question about using the expression 4(8 + 3x), let's break it down.

Part A: Describe the two factors in this expression.

The expression has two factors: the numeral 4 and the parenthetical (8 + 3x).

Part B: How many terms are in each factor of this expression?

The first factor, 4, consists of one term because it is a single number. The second factor, (8 + 3x), consists of two terms: the constant term 8, and the variable term 3x.

Part C: What is the coefficient of the variable term?

The coefficient of the variable term 3x is 3.

Help please!? {Testing week}

If the sides of two similar figures have a similarity ratio of 5/3, what is the ratio of their perimeter?

Answers

Perimeters and Areas. When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles. In Figure 1 , Δ ABC∼ Δ DEF. ... The ratios of corresponding sides are 6/3, 8/4, 10/5.

The ratio of the perimeters of two similar figures with a similarity ratio of 5/3 is also 5/3. This ratio applies to all corresponding linear measurements, including perimeter, when figures are similar.

If the sides of two similar figures have a similarity ratio of 5/3, the ratio of their perimeters will also be 5/3. This is because the perimeter of a figure is simply the sum of its side lengths, and since all corresponding sides are in the same ratio for similar figures, the perimeters will be in the same ratio too.

For example, if one figure has a side length of 5 units, its similar figure will have the corresponding side length of 3 units (given the ratio). If you add up all the sides for the first figure and all the sides for the second figure, the sums will still maintain that 5/3 ratio due to the proportional nature of similarity in geometry.

What is the associative property

Answers

The associative property is the ability to group certain numbers together in addition/subtraction and multiplication problems because their operations are interchangable.

Example 1:

1 + 2 + 3

We can solve this by first doing 1 + 2 = 3, and then adding 3 + 3 = 6. OR we can start with 2 + 3 = 5, and add 5 + 1 = 6. We can even do, 3 + 1 = 4, then add 4 + 2 = 6. Either way, we end up with the same correct answer.

Example 2:

1 x 2 x 3

Same thing applies to multiplication. We can start by doing 1 x 2 = 2, and then 2 x 3 = 6. OR we can do 2 x 3 = 6, then 6 x 1 = 6. Just like the one above, we can also do, 3 x 1 = 3, then 3 x 2 = 6. Either way you group them, you get the same answer.

Example 3:

- 1 - 2 - 3

We can do - 1 - 2 = - 3, then - 3 - 3 = - 6. OR - 1 - 3 = - 4, then - 4 - 2 = - 6. OR - 2 - 3 = - 5, then - 5 - 1 = - 6. Again, same answer, three different ways to group it.

THIS DOES NOT WORK WHEN THE ADDITION/SUBTRACTION and MULTIPLICATION OPERATIONS ARE IN THE SAME PROBLEM

If given 1 + 3 - 7 x 4, you cannot rearrange the components like you can with the associative property. You will end up with drastically different answer when there is only one way to do this.

Here is an incorrect example of it.

1 + 3 + 7 x 4
1 + 10 x 4
11 x 4
44.

That is wrong. The correct way is

1 + 3 + 7 x 4
1 + 3 + 28

Now because all of the operations match you can use associative property to arrive at the same answer the three different ways.

4 + 28 = 32. OR 1 + 31 = 32. OR 29 + 3 = 32. See the difference in the answers?

Susan received grades of 78, 93, 82, and 76 on four math exams. What is the lowest score she can receive on her next math exam and have an average of at least 85 on the five exams?

A) 96
B) 94
C) 92
D) 90
E) 88

Answers

Answers:
Choice A) 96

==========================================

Explanation:

The original list of scores is {78, 93, 82, 76}
Add x to the list to get this new list {78, 93, 82, 76, x}

Let's find the average of the new set
Add up the values and divide by 5. We force this average to be 85 since this is the grade Susan wants
(78+93+82+76+x)/5 = 85
(329+x)/5 = 85
329+x = 85*5
329+x = 425
x = 425-329
x = 96

So if Susan gets a 96 or greater on the fifth test, then she'll have an average of at least 85 (that score or greater)

write the equation 12=3x + 6 in the form ax + b = c with c=12 what are the values of a & b?

Answers

12=3x+6
is effectively c=ax+b
meaning
a is 3
b is 6 and
c is 12

If c = 12,
[tex]ax + b = c \\ 3x + 6 = 12[/tex]

Answer : a = 3, b = 6

Hope this helps. - M

Andrew ran 4 laps on Sunday and 2.2 laps on Saturday. If each lap is 1.5 miles, how far did Andrew run last weekend?

Answers

4 x 1.5 + 2.2 x 1.5 = 12.3

Lisa arranges six square paintings as shown in the area of the arrangement is 225 cm² what would it cost Lisa to frame her arrangement at a cost of $.12 per centimeter

Answers

Final answer:

To frame Lisa's arrangement of six square paintings, the total cost would be $43.20.

Explanation:

To find the cost of framing Lisa's arrangement, we need to calculate the perimeter of the arrangement and then multiply it by the cost per centimeter. Since the arrangement consists of six square paintings, we can calculate the side length of one square by taking the square root of the total area of 225 cm². The side length of one square is 15 cm, so the perimeter of one square is 4 multiplied by 15 cm, which is 60 cm. Since there are six squares, the total perimeter of the arrangement is 6 multiplied by 60 cm, which is 360 cm. Finally, we multiply the total perimeter by the cost per centimeter of $.12 to find the total cost of framing, which is 360 cm multiplied by $0.12, equaling $43.20.

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What type of association would you expect to see between the amount of fog in the sky and the distance that a pilot can see? A) Positive association B) Negative association C) No association D) There is not enough information to tell

Answers

We can make a conclusion that the more fog there is, the less distance the pilot can see. this means that there is a negative association because if this were graphed, the slop would be negative, as the x-axis (amount of fog) increases and the y-axis (distance pilot can see) decreases.

Final answer:

There is a negative association between the amount of fog in the sky and the distance a pilot can see; i.e. the higher the amount of fog, the lower the visibility distance.

Explanation:

The question primarily asks about the association between the amount of fog in the sky and the distance a pilot can see. In general, the greater the fog, the lower the visibility distance for a pilot. Hence, there is a negative association between these two variables. When one variable (amount of fog) increases, the other variable (pilot's visibility distance) decreases.

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Three out of four student surveyed in a school said they will vote for nuncio for class president. Predict how many of the 340 students in the school would vote for nuncio?

Answers

3/4 is .75. translate that to percentages, and you get 75%. This means that it is likely that 75% of the 340 students in total will vote for Nuncio.
write it out:
.75*340
solve:
255

about 255 students are likely to vote for Nuncio

The answer is 255 students. I just multiplied .75 times 340.

16a^2+21a+9=6a^2 solve the equation for all real solutions

Answers

a= -3/5
or
a= -3/2
No problem!

The answers are a1= -3/2 and a2= -3/5

Which of the following functions are quadratic functions? (Select all that apply.)
A.f(x) = 2x − 4
B.f(x) = 3 − x2
C.f(x) = 3x2 − x − 6
D.f(x) = 3 x2

Answers

C. because in order for it to be a quadratic the equation has to have a squared value
(ax2+bx+c)

which of the following numbers are between 0.40 and 0.47

Answers

A) 0.14
B) 0.38
C) 0.42
D) 0.86

Answer is C because 0.42 is between 0.40 and 0.47

Hope this helps. - M

The fraction that is between 0.40 and 0.47 is 21/50

In order to determine which of the options are between 0.40 and 0.47, convert the options to decimals.

In order to convert the fractions to decimals, divide the numerator by the denominator

7/50 = 0.14

19 / 50 = 0.38

21 / 50 = 0.42

43 / 50 = 0.86

The fraction that is between the stated numbers is 21/50

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The baseball team has a double-header on Saturday. The probability that they will win both games is 18%. The probability that they will win just the first game is 60%, What is the probability that the team will win the 2nd game given that they have already won the first game?

Answers

I got 30%
60% as a decimal is 0.6
18% as a decimal is 0.18
0.6 times 30% or 0.3 is 0.18

Let the event to win the first game is F and to win the second game is S.

This question is from conditional probability and hence we use the below formula.

[tex]P(S/F)=\frac{P(F and S) }{P(F)}[/tex]

Now, we have been given that

[tex]P(F and S)=0.18\\ P(F)=0.60[/tex]

On substituting these given values in the formula, we get

[tex]P(S/F)=\frac{0.18}{0.60} \\ \\ P(S/F)=0.3=30\%[/tex]

Therefore, the probability for winning the second game is 30%

what did the spanish farmer say to his chicken

Answers

he says oh lay
lol!!!

What the Spanish farmer said to his chicken is: Ohlay

How to find the missing words?

This is taken from the math's worksheet titled:

‘What Did the Spanish Farmer Say to His Chicken?’

This is a math worksheet activity where one must solve the given questions to find the letters that spell out the answer to what the farmer had said.

When we solve all the questions and check the letter list, then the answer will spell out oh lay. ‘Oh lay’ is Spanish for a sense of encouragement or as an approval or an hour for triumph.

Activities are given to children along with the questions to make the task of solving the mathematical equations fun while simultaneously learning about the concept. It also challenges their skills and improves them.

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BRAINLIEST 20 POINTS

Answers

14.
[tex]y=-\dfrac{5}{8}x+3\ \ \ |\cdot8\\\\8y=-5x+24\ \ \ |+5x\\\\\boxed{5x+8y=24}[/tex]

15.
[tex]k:y=m_1x+b;\ l:y=m_2x+c\\\\k\ ||\ l\ \iff\ m_1=m_2[/tex]

therefore [tex]y=2x+b[/tex]

substitute the coordinates of the point to the equation:

[tex](3;\ 8)\to x=3;\ y=8\\\\8=2\cdot3+b\\8=6+b\ \ \ \ |-6\\b=2[/tex]

Answer: y = 2x + 2

16.
[tex]k:y=m_1x+b;\ l:y=m_2x+c\\\\k\ ||\ l\iff m_1=m_2\\\\k\ \perp\ l\iff m_1\cdot m_2=-1[/tex]

[tex]k:y=-3x+7\\\\l:-2x+6y=3\ \ \ |+2x\\\\6y=2x+3\ \ \ |:6\\\\y=\dfrac{1}{3}x+\dfrac{1}{2}\\\\m_1=-3;\ m_2=\dfrac{1}{3}\\\\m_1\cdot m_2=-3\cdot\dfrac{1}{3}=-1[/tex]

therefore [tex]k\ \perp\ l[/tex]

Answer: perpendicular

17.
a conditions as in the 16th question.

[tex]k:y=-\dfrac{1}{4}x+8\\\\l:-2x+8y=4\ \ \ |+2x\\\\8y=2x+4\ \ \ |:8\\\\y=\dfrac{1}{4}x+\dfrac{1}{2}\\\\m_1=\dfrac{1}{4};\ m_2=\dfrac{1}{4}\\\\m_1=m_2[/tex]

therefore\ [tex]k\ ||\ l[/tex]

Answer: parallel

Answer:

lol thxs for the points

Step-by-step explanation:

A recipe for cookies requires 2/3 cup of butter. Rama wants to make 3/4 of the recipe. How many cups of butter should Rama use to make the cookies?

Answers

Multiply the total amount of 2/3 cups by the portion size of 3/4.

= (2/3)(3/4)
multiply numerators; multiply denominators

= (2*3)/(3*4)
= 6/12
simplify by 6

= 1/2 cup

ANSWER: Rama should use 1/2 cup of butter.

Hope this helps! :)

What is the equation for the sum of three consecutive even numbers totaling 198.

Question 4 options:

n+n+1+n+2=198

n+n+2+n+4=198

3n=198

n+3=198

Answers

Let the first number be represented by x. Then the next is x+2, the next x+4. Add these 3 expressions together and equate the sum to 198.

Final answer:

Option B: n+n+2+n+4=198

The equation for the sum of three consecutive even numbers totaling 198 can be represented as

n + (n+2) + (n+4) = 198,

where n is the first even number.

Solving the equation, the first even number is 64, and the consecutive even numbers are 66 and 68.

Explanation:

The equation for the sum of three consecutive even numbers can be represented as n + (n+2) + (n+4) = 198, where 'n' is the first even number. Let's solve the equation:

Combine like terms: 3n + 6 = 198Subtract 6 from both sides: 3n = 192Divide both sides by 3: n = 64

So, the first even number is 64, and the consecutive even numbers are 66 and 68.

Y = 2x - 1 and y = x + 3 find the solution by graphing or substitution

1. ( 4,7)
2. ( 7,4)
3. ( -7,-4)
4. Infinite solutions

Answers

The answer is the 3rd one

Answer:

Ripboodap9urmy you are wrong utterly wrong. I had a feeling you were guessing why would you say it's the third choice out of the blue

Step-by-step explanation:

And person who's asking this believe me it is (4,7) I ligit just took the test and got it correct and it's the first choice.

Plzz give me brainlist!!

draw an angle measuring 700 degrees in standard position.

Answers

A screenshot of the angle is attached.

700 is almost 2 complete revolutions around the graph. 700-360=340; this means it is the same as going 20° backwards from the starting point.

a class had 2 3/4 yards of twine. Five students each used 1/8 of a yard.
Estimate the total yarn left.

Answers

5 students used 1/8 each

5 · 1/8 = 5/8

Subtract 5/8 from 2 3/4 to get your answer

First, make it the same denominator: 8

2 3/4 = 2 6/8

2 6/8 - 5/8 = 2 1/8

There is about 2 yarn left. Exact amount left: 2 1/8

Hope this helps :)

can someone please help me?

Answers

Comment
The diameter of the large circle = 3 diameters of the small circle.
The radius of the large circle = 3 radii of the small circles.

Step one
Find the radius of the large circle.
r_small = 5 cm Given
r_large = 5 * 3 cm Construction
r_large = 15 cm

Step Two
Find the Area of the large circle
Area = pi * r^2
Area = 3.14 * 15^2
Area = 3.14 * 225
Area = 706.5.

Step Three
Find the area of the 7 small circles.
r = 5 cm given
pi = 3.14

Area = 3.14 * 5^2
Area = 3.14 * 25
Area = 78.5 cm^2

Area of 1 circle = 78.5 cm^2
Area of 7 circles = x Cross multiply
x * 1 = 78.5 cm^2 * 7
x = 549.5 cm^2

Step four
Find the area of the 6 congruent shapes (one of which is shaded).

Area of the six congruent shapes = area of the large circle - area 7 small circles.

Area of seven large circle = 706.5 cm^2
Area of 7 small circles = 549.5 cm^2 Subtract
Area of 6 congruent shapes 157 cm^2

Step 5
Find the area of the shaded area
6 congruent shapes = 157 cm^2 Cross multiply
1 shaded = x

6x = 1 * 157 Divide by 6
x = 157 / 6
x = 26.166667 cm^2 <<<<<<<<<<< answer

If your answer is in terms of pi then the answer us

X = 50 pi / 6 or 25 pi / 3 Alternate possibilities.

rectangle A is 15cm long. rectangle B is 40cm long and its width is 8 less than rectangle A. The area of Rectangle B is double Rectangle A. what is the width of Rectangle B?

Answers

The width is 24.

You can get this by setting the rectangle A width to x and the rectangle B width to x - 24. Then set the area of A multiplied by 2 equal to the area of B. You can then solve for x.

Use Cramer's rule to solve 4x + 3y = 4, -3x - y = 7. Show your work.

Answers

The answer is shown in the picture because it ran afoul of Brainly's "bad word" detector.

∠YXZ and ∠ZXW are adjacent and supplementary angles. If m∠YXZ = 37°, what is m∠ZXW?

A. 143°
B. 37°
C. 53°
D. unknown

Answers

Answer: Choice A) 143 degrees

To get this answer quickly, you subtract the given angle (37) from 180 to get 180-37 = 143

The more longer answer would look something like this
x+37 = 180 .... the two supplementary angles add to 180 degrees
x+37-37 = 180-37 .... subtract 37 from both sides
x+0 = 143
x = 143
where x is the measure of angle ZXW

what is produced in photosynthesis

Answers

Photosynthesis produces glucose from carbon dioxide and water.

Hope this helps!

Answer:

The answer is oxygen and glucose

Step-by-step explanation:

Science man

maddy was one of the riders in the competition. If one judge awarded maddy a score of 87 and maddy's final score was 84.5 what score did the other judge award maddy answer

Answers

Assuming there are two judges... and 84.5 is the average..
(87+x)/2 = 84.5

x=82

Let [tex] x [/tex] be the score awarded by the other judge.

Maddy's final score is the average of the scores awarded by the 2 judges.

So,

[tex] \frac{87+x}{2} =84.5\\
87+x=169\\
x=82 [/tex]

The score awarded by the second judge is [tex] 82\;points [/tex].

Find the value of X in the isosceles triangle shown below. How do I find X?

Answers

To get the value of x you need to use the Pythagorean Theorem

a²+b²=c² → 3²+b²=6.708204² (√45)
9 +b² =45.000001
-9 ↓ ↓-9
---------------------------
zero pair √b² = √36.000001
b = 6
One side of the isosceles the x is 6, but we need the whole part so for last you just multiply 6×2= 12
The answer is...... X=12

your mom has to pay two bills. Taxes are $483 and the heating is $230. You want to find out how much total your mom will pay. How can you use skip counting to add these two numbers?

Answers

483 pluse 230 = 713
400 pluse 200 = 600
80 pluse 30 = 110
3 pluse 0 =3
600 pluse 110 pluse 3 equals 713

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