If 5a=-4b+5 and 3a=-2b+3, what is 6b?

Answers

Answer 1

There are two equations and two variables. You can solve for each variable using either the elimination method or the substitution method. Here, I believe the elimination method would be best:
5a = -4b + 5
3a = -2b + 3
You can multiply the second equation by two, so the 4b and -4b in both equations will cancel each other out when you add them. So:
5a = -4b +5
6a = 4b +6
Add both equations together.
11a = 11
a = 1
Plug in the a value into any of the previous equations:
5(1) = -4b + 5
-4b = 0
b = 0
So, since we know that b = 0, 6b is also 0.

Related Questions

Solve the equation and show all work please show steps!!
m/9 - 17=21

Answers

Okay. The question is m/9 - 17 = 21. First off, we will add 17 to both sides. -17 + 17 cancels out. 21 + 17 is 38. That leaves m/9 = 38. Multiply each side by 9 to isolate the m, because m is the numerator and 9 is the denominator. m/9 * 9/1 cancels out. 38 * 9 is 342. Let's check this. 342/9 is 38. 38 - 17 is 21. 21 = 21. There. x = 342.

m/9 - 17=21
------------
Simplify
1/9m - 17 = 21
----------------
Add 17 to each side
1/9m-17+17=21+17
1/9m = 38
------------------------
Multiply each side by 9
9 * (1/9m) = 38 * 9
m = 342 is your answer

Which of the fraction below is equivalent to 1/3? Show why that fraction is equivalent to 1/3. 4/5, 4/6, 4/9, 4/12

Answers

4/12 = 1/3 this would help

Final answer:

To determine which fraction is equivalent to 1/3, we can compare each fraction to 1/3 and simplify if necessary. The fraction that is equivalent to 1/3 is 4/12.

Explanation:

To determine which fraction is equivalent to 1/3, we can compare each fraction to 1/3 and simplify if necessary. Let's go through each option:

4/5: This fraction is not equivalent to 1/3 because 4/5 is greater than 1/3.4/6: To simplify this fraction, we can divide both the numerator and denominator by their greatest common factor, which is 2.
4/6 simplifies to 2/3, which is not equivalent to 1/3.4/9: This fraction is not equivalent to 1/3 because 4/9 is greater than 1/3.4/12: To simplify this fraction, we can divide both the numerator and denominator by their greatest common factor, which is 4.
4/12 simplifies to 1/3, which is equivalent to 1/3.

Therefore, the fraction that is equivalent to 1/3 is 4/12.

Maria says her pencil is 1.7 meters long is this measurement reasonable

Answers

no 1.7 meters is roughly 5 feet 8 inches

Convert fraction with numerator 7 and denominator 8 to a decimal.

0.375

0.875

0.925

0.965

Answers

[tex] \frac{7}{8}=7:8=\bold{0.875} [/tex]

Answer:

Step-by-step explanation:

from the top of a lighthouse 210 feet high, the angle created by the line of sight to a boat is 27°. find the distance of the boat to the light house.

Answers

Answer: It is 107 feet from the light house to the boat.

This is a trigonometry problem. You must draw a triangle with the lighthouse and the boat. You are given the lighthouse height and the angle to the boat.

Using this information, you can set up a tangent ratio:

tan(27) = x/210

Solving this will give you:

0.5095 = x/210
107 = x

Mr shen likes for his homework assignment to have 2 addition problems for every 3 subtraction problems

Answers

Answer:

Options B, C and D are correct choices.

Step-by-step explanation:

Please consider the complete question.

Mr. Shen likes for his homework assignments to have 2 addition problems for every 3 subtraction problems.

Which of the following homework assignments could

Mr. Shen create?

Choose 3 answers:

A. 3 addition problems and 4 subtraction problems .

B. 6 addition problems and 9 subtraction problems .

C. 16 addition problems and 24 subtraction problems.

D. 8 addition problems and 12 subtraction problems.

E. 15 addition problems and 10 subtraction problems.

To solve our given problem, we need to find the number that have same ratio.

Let us compare each ratio.

A. [tex]\frac{3}{2}\neq \frac{4}{3}[/tex]

Since the ratio of corresponding numbers is not same, therefore, option A is incorrect.

B. [tex]\frac{6}{2}=\frac{9}{3}[/tex]

[tex]3=3[/tex]

Since the ratio of corresponding numbers is same, therefore, option B is the correct choice.

C. [tex]\frac{16}{2}=\frac{24}{3}[/tex]

[tex]8=8[/tex]

Since the ratio of corresponding numbers is same, therefore, option C is the correct choice.

D. [tex]\frac{8}{2}=\frac{12}{3}[/tex]

[tex]4=4[/tex]

Since the ratio of corresponding numbers is same, therefore, option D is the correct choice.

E. [tex]\frac{15}{2}\neq \frac{10}{3}[/tex]

Since the ratio of corresponding numbers is not same, therefore, option E is incorrect.

a geometric sequence has an initial value of 25 and a common ratio of 1.8. Write a function to represent this sequence . Find.the 23rd term.

Answers

Use the formula

a_n = a_1•r^(n-1)

a_23 = 25•(1.8)^(23 - 1)

Can you finish?

23rd term of the given geometrical sequence is [tex]a_{23} = 25(1.8)^{22}[/tex].

Function to represent sequence is [tex]25,25(1.8), 25(1.8)^{2} , 25 (1.8)^{3} , ....... ,25(1.8)^{n}[/tex]

What is geometric sequence?

" Geometric sequence is defined as the sequence whose ratio of the consecutive terms is always constant."

Formula used

nth term of the geometric sequence

[tex]a_{n} = a r^{n-1}[/tex]

a = first term

r = common ratio

[tex]a_{n}[/tex] = nth term

According to the question,

First term of the geometric sequence 'a' = 25

Common ratio of the geometric sequence 'r' = 1.8

Substitute the value in the formula to get 23rd term,

[tex]a_{23} = 25(1.8)^{23-1}[/tex]

⇒[tex]a_{23} = 25(1.8)^{22}[/tex]

Function to represent this sequence

[tex]a, a(r),a(r)^{2} , a (r)^{3} , ....... ,a(r)^{n}[/tex]

= [tex]25,25(1.8), 25(1.8)^{2} , 25 (1.8)^{3} , ....... ,25(1.8)^{n}[/tex]

Hence, 23rd term of the given geometrical sequence is [tex]a_{23} = 25(1.8)^{22}[/tex].

Function to represent sequence is [tex]25,25(1.8), 25(1.8)^{2} , 25 (1.8)^{3} , ....... ,25(1.8)^{n}[/tex]

Learn more about geometrical sequence here

https://brainly.com/question/11266123

#SPJ2

Guys please help me please...

Answers

The freshmen will have cost y = 100 + 50x (where x is the number of rolls). The sophomores will have y = 250 + 25x.

To graph these equations, which are already in slope-intercept form:
For the freshmen, we begin with the y-intercept at (0, 100). Then for each unit of x (to the right), we raise the y-value by 50. So we can put another point at (1, 150), at (2, 200), at (3,250), and so on. Any one other point is sufficient to draw the line.
For the sophomore, we begin with the y-intercept at (0, 250), and increase y by 25 for each unit of x. So we can connect it with (1, 275), (2, 300), and so on.
If both lines are drawn, we will see the intersection point at (6, 400), which means that both groups have a cost of y = $400 at x = 6 rolls.

sarah is training for a bike race. she rides her bike 5 3/4 miles in 1/3 hour. what is sarahs's rate in miles per hour?

Answers

Sarah covers 17 1/4 miles per hour.

Hope this helps!

Hey there!

Since it is 1/3 of an hour for 5 3/4 miles, multiply 5 3/4 x 3 . . .

5 3/4 = 23/4

3 = 3/1

23 x 3 = 69
4 x 1 = 4

Simplifying 69/4 . . .

69/4 = 17 1/4 <-----------

Sarah's rate is 17 1/4 miles per hour.

Hope this helps you.
Have a great day!

For a single roll of two dice, are rolling a sum of 6 and rolling doubles mutually exclusive events?

Answers

Answer: They are not mutually exclusive events.

Step-by-step explanation:

Let A be the event of getting a sum of 6 on dice.

Let B be the events of getting doubles .

A={ (1,5), (2,4), (3,3), (4,2), (5,1) }

B = { (1,1) , (2,2), (3,3), (4,4), (5,5), (6,6) }

Since we know that Mutaullty exclusive events are those when there is no common event between two events.

i.e. there is empty set of intersection.

But we can see that there is one element which is common i.e. (3,3).

So, n(A∩B) = 1 ≠ ∅

Hence, they are not mutually exclusive events.

Answer:

They are not mutually exclusive events.

Step-by-step explanation:

10 POINTS AND BRAINLIEST
Which set of numbers is finite?

Even numbers between 1 and 89

Real numbers greater than 1

Rational numbers between 1 and 2

Whole numbers with tens digits at zero

Answers

Rational numbers between 1 and 2 because the rest go on and on

All of them go on and on except for the first one (Even numbers between 1 and 89) because even numbers are whole numbers and there is a limit to them in between 1 and 89.

Answer: #1

The area of the square is 81 square centimeters. Which of the following is closest to the circumference , in centimeters, of the circle inscribed in the square?
A. 14.13
B. 28.26
C. 63.59
D. 127.17

Answers

Answer: 28.26

Step-by-step explanation: I think it's 28.26, I tried

Answer:

Step-by-step explanation:

Write 30/80 as a percent

Answers

The fraction 30/80 is equivalent to 37.5 percent or 37.5% (rounded to 1 decimal place).

To workout this, divide the numerator by the denominator, sum this value to the integer part then multiply the result by 100%, so:

30/80 in percent = 30 ÷ 80 × 100% =

0.375 × 100% =

37.5%

30/80 = 3/8

3/8 = 0.375

0.375 = 37.5%

Hope this helped☺☺

A tree 63 ft high casts a 38 ft shadow. How tall is a tree that casts a 52 ft shadow at the same time of the day? (to the nearest tenth

Answers

52/38 = 1.368

1.368 x 63 = 86.21

tree is 86.2 feet high

Write the ordered pairs that represent the location of Sam and the theater

Answers

Final answer:

The question seems to require using ordered pairs to locate Sam and the theater, but lacks the specific coordinates or context needed for a precise answer. Ordered pairs are essential in geometry for representing positions.

Explanation:

The question seems to pertain to locating positions or objects using ordered pairs, which falls under the domain of algebra and geometry in mathematics. An ordered pair (x, y) is used to define the positions on a plane, with 'x' representing the horizontal component and 'y' representing the vertical component.

Unfortunately, the question lacks specific information about the coordinates of Sam and the theater, making it impossible to provide exact ordered pairs without additional context. In scenarios involving maps or spatial planning such as finding locations in a city or arranging objects with a spatial relation to each other, ordered pairs serve as a crucial means of representation.

Exercises involving ordered pairs deepen understanding of coordinate systems, which are fundamental in geometry and crucial for various applications in science and engineering.

help meeeee plzzzzzzz

Answers

the mean is 2.56 or 3 if you round up. you add all the numbers and then divide the answer by however many numbers there were.

Which line segment is a radius of circle F?

ED¯¯¯¯¯

AC¯¯¯¯¯

DC¯¯¯¯¯

FE¯¯¯¯¯

Answers

The answer would be FE...

The measure of three angles of a triangle are (2x)°, (3x)° and (x + 60)°. What is the value of x?

Answers

2x+3x+x+60=180
6x+60=180
6x=120
x=20

The diagram shows the dimensions of the pool cover for a gotel pool.The numbers are 10ft 20ft 45 ft 8 ft 8 ft 8ft What is the area of the pool cover

Answers

Answer:

684

Step-by-step explanation:

see photo for step by step explanation.

The area of the pool is the amount of space on it.

The area of the pool is 684 square feet

The dimensions of the pool are:

10ft by 20ft, 8ft by 20ft and 27ft by 12ft

The area of the pool is then calculated as:

A = 10 * 20 + 8 * 20 + 27 * 12

Evaluate the products

A = 200 + 160 + 324

Evaluate the sums

A = 684

Hence, the area of the pool is 684 square feet

Answers

400 cm is the answer you're looking for :)

Joey has 8 pairs of socks in his drawer 5 of them are white. what percent of colored socks does Joey have

Answers

Hey there! :D

We usually don’t count white socks as colored, so keep that in mind for the problem.

There are 5 pairs of white socks.

8-5=3

There are 3 pairs of colored socks.

3/8= fraction of colored over the whole amount.

Make 3/8 into a decimal. (Divide 3 by 8)

3/8= .375

Now, we just have to make that into a percentage.

.375= 37.5%

37.5% of the socks were colored.

I hope this helps!
~kaikers

To find the total percentage of colored socks, we must divide the number of colored socks by the total number of socks.

Since 5 out of 8 pairs of socks are white, 3 pairs of socks are colored.

3/8 = 0.375 = 37.5% of the socks are colored

Work the answer out n I’ll give xtra points

Answers

126/3 = 42 . . . . . matches selection B

_____
The sheet of 100 is 9+1 = 3 groups of 3 sticks with 1 left over.
The 2 sticks with the one left over are 3 groups of 1.
The 6 singles are 3 groups of 2.

Altogether, you have 3 groups of (3 sticks +1 stick +2 singles).

janet lit a 12-inch candle. she noticed that it was getting an inch shorter every 30 minutes in how many hours will the candle burn out support your answer with a reason

Answers

If you multiplied 12 and 30 you would get 360 minutes which is 6 hours. So if Janet lit a 12 inch candle and every 30 minutes it lost an inch it would take 6 hours. The reason being it loses an inch every 30 minutes and it has 12 inches.

yes it would good job ;)

A square has side lengths of 7 inches. Find the length of the square’s diagonal.

Answers

Since the side lengths of the square is seven inches, the legs of the triangle to find the diagonal will be 7 inches as well. Since we have the two legs to find the hypotenuse which is equal to the square’s diagonal, we can find the diagonal by squaring the two legs and adding them together, then finding the square root of the answer.
7•7=49
7•7=49
49+49= 98
Now let’s find the square root of 98. I usually go to the hundredths place since I know 98 doesn’t have a perfect square.
9.9•9.9= 98.01 (the hundredths place rounded to that)
So the length of the square’s diagonal is about 9.9 inches.

Final answer:

The length of the square's diagonal with side lengths of 7 inches is found using the Pythagorean theorem, leading to a diagonal of approximately 9.899 inches.

Explanation:

To find the length of the square's diagonal when the side lengths are 7 inches, we can use the Pythagorean theorem. The diagonal of a square creates two right triangles, with the diagonal being the hypotenuse. You can think of this as half of the square divided along the diagonal. Each of these triangles has two legs that are each equal to the side of the square and a hypotenuse which is the diagonal we want to find.

The formula for the Pythagorean theorem is a² + b² = c², where a and b are the legs of the right triangle, and c is the hypotenuse. Since the legs are both 7 inches (the side length of the square), we have:

7² + 7² = c²
49 + 49 = c²
98 = c²

This simplifies to:

c = √98
c ≈ 9.899 inches (rounded to three decimal places)

Therefore, the diagonal of the square is approximately 9.899 inches long.

Solve the following equation: x^3+3x^2-10x=0

Answers

x³ + 3x² - 10x = 0
The GCM of those three terms is x. So group them by x.

x(x² + 3x - 10) = 0
factor x² + 3x - 10
x(x - 2)(x + 5) = 0

x = 0 , x = 2 , x = -5

Qual é o perímetro de um quadrado de 3,8 cm de lado ?E sua área?

Answers

I don't know what language your speaking, but I do know it's a Latin language. So I understand a bit since I speak Spanish (another Latin language)

Para encontrar el perímetro tienes que anadir 3.8, 4 veces o mulltiplicar por 4
3.8 + 3.8 + 3.8 + 3.8 = 15.2
3.8 x 4 = 15.2
15.2 es tu respuesta

Para encontrar el area multiplica 3.8 por 3.8
3.8 x 3.8 = 14.44
14.44 es tu area

Please I need help with questions 2-4 and it’s very hard and I’m struggling with it and if you need to see the picture big then click on it and it will be big

Answers

2) 3.153*10⁴ × 3.92*10⁴ = (3.153*3.92)*10⁽⁴⁺⁴⁾
.. = 12.35976*10⁸
.. ≈ 1.236*10⁹ . . . . . people living in India

3) The mantissa was greater than 10, so a factor of 10 was removed from it and added to the exponent

4) (2.844*10⁹)/(4.5*10⁶) = (2.844/4.5)*10⁽⁹⁻⁶⁾ = 0.632*10³
Amy apparently adjusted the magnitude of the mantissa without adjusting the exponent. The correct normalized form is
.. 6.32*10²

Aubrey is painting a mural of an ocean scene. The triangular sail on a sailboat has a base of 4 feet and a height of 6 feet. Aubrey will paint the sail using a special white paint. A can of this paint covers 10 square feet. How many cans of white paint will Aubrey need?

Answers

(1/2x4)x6
(2)x6
12/10
1.2

2 Cans because you cant buy .2 of a can

Final answer:

Aubrey requires 2 cans of white paint to cover the triangular sail with an area of 12 square feet, given that one can covers 10 square feet.

Explanation:

Aubrey is painting a triangular sail as part of a mural with a base of 4 feet and a height of 6 feet. To calculate the area of the triangle, the formula is 1/2 × base × height. Thus, the area is 1/2 × 4 × 6, which equals 12 square feet. One can of special white paint covers 10 square feet. Therefore, Aubrey will need to use 2 cans of paint to cover the entire sail, since you can't purchase a fraction of a can.

Which statement is true?
All rectangles are parallelograms.
All rectangles are squares.
Some triangles are quadrilaterals.
Every rhombus is a square.

Answers

Answer:

Step-by-step explanation:

All rectangles are parallelograms and all their sides are parallel.

Write to explain how to do bd an equivalent fracrion for the fraction 3/9

Answers

To make an equivalent fraction, we multiple or divide both the numerator and the denominator by the same factor.

[tex] \dfrac{3}{9} = \dfrac{3 \div 3}{9 \div 3} = \dfrac{1}{3} [/tex]

[tex]\text {Answer = } \dfrac{1}{3} [/tex]

Answer:

1/3

Step-by-step explanation:

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