What is the value of a in the equation 3 a plus b equals 54, when b equals 9?

15
18
21
27

Answers

Answer 1

Answer:

a=15

Step-by-step explanation:

3a+b = 54

Let b=9

3a+9 = 54

Subtract 9 from each side

3a+9-9= 54-9

3a = 45

Divide each side by 3

3a/3 = 45/3

a = 15

Answer 2

Answer:

[tex]3a+b=54[/tex]

[tex]3a+9=54\:[b=9][/tex]

[tex]3a=54-9[/tex]

Subtract 9 from both sides

[tex]3a=45[/tex]

Divide both sides by 3

[tex]\frac{3a}{3}=\frac{45}{3}[/tex]

[tex]a=15[/tex]

OAmalOHopeO


Related Questions

3 Z The quadratic equation whose roots twice the roots of :2X2-8X+5=0​

Answers

Ok done. Thank to me:>

why do you need to find the number that is halfway between 1 and 1 1/2

Answers

Answer:

Lets just say we are finding the halfway point is very needful because; it means that we can find the amount of flour used for 1 while egg.

We are told there is a need to find the Number that is halfway between 1 and 1½.

Step-by-step explanation:


Look at picture this is so hard pls help

Answers

Answer:

The answer is B

Step-by-step explanation:

Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n) = 5 + (n - 1) 1/6

Answers

Answer:

A(1) = 5

A(4) = 5.5

A(10) = 6.5

Step-by-step explanation:

An nth term formula works, whether for a arithmetic or geometric sequence, can be used to find any term in a sequence;

Simply substitute the number that corresponds with the position of the term you want to find and the formula will give the value of that term;

So:

A(1) = 5 + ⅙((1) - 1) = 5

A(4) = 5 + ⅙((4) - 1) = 5.5

A(10) = 5 + ⅙((10) - 1) = 6.5

Find the interest earned if you place $76.43 into an account that pays 21.5% simple interest, and leave it in for 3 months

Answers

Answer:

$49.297

Step-by-step explanation:

21.5% x 3

divide answer by $76.43

leaves you with how much interest you have earned in 3 months.

Gordon types 2,584 words in 38 minutes.

Answers

Answer:

Gordon types 68 words per minute

Step-by-step explanation:

2584/38=68

c(1)=−20
c(n)=c(n−1)+10

Find the second term in the sequence.

Answers

Answer:

c(2) = -10

Step-by-step explanation:

The first equation says that the first term of the sequence is -20.

The second equation is saying that to find any term of the sequence, add 10 to the previous term.

c(2) = c(2-1) + 10

c(2) = c(1) + 10

c(2) = -20  + 10 = -10

May I please receive help?

Answers

Problem 1 (on the left)

Answers:

[tex]10^2+12^2 = \boldsymbol{244}\\\\14^2 = \boldsymbol{196}\\\\\text{What kind of triangle?} \textbf{ Acute}[/tex]

-------------------------------

Explanation:

The converse of the pythagorean theorem can be used to determine what kind of triangle we're dealing with.

Here are 3 important rules to have in your notes:

[tex]\cdot \text{If } a^2+b^2 > c^2 \text{ then the triangle is } \underline{\text{acute}}\\\\\ \cdot \text{If } a^2+b^2 < c^2 \text{ then the triangle is } \underline{\text{obtuse}}\\\\\cdot \text{If } a^2+b^2 = c^2 \text{ then the triangle is a } \underline{\text{right}} \text{ triangle}\\\\[/tex]

The third rule is probably the most familiar as it's the pythagorean theorem itself.

In this case, we have [tex]a^2+b^2 = 10^2+12^2 = 244[/tex] larger than [tex]c^2 = 14^2 = 196[/tex], which fits the first rule mentioned.

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

Problem 2 (on the right)

Answers:

[tex]8^2+15^2 = \boldsymbol{289}\\\\17^2 = \boldsymbol{289}\\\\\text{What kind of triangle?} \textbf{ Right}[/tex]

-------------------------------

Explanation:

We follow the same idea as problem 1. This time, both [tex]a^2+b^2[/tex] and [tex]c^2[/tex] result in the same value (289). Therefore, [tex]a^2+b^2 = c^2[/tex] is a true equation, and we go for the third rule mentioned earlier. An 8-15-17 right triangle is one of the infinitely many pythagorean triples.

10. Find the value of x.
(5x+12)° (3x+8)°
10
15
20
25

Answers

Answer:

3x+8+5x+12

8x+20=180

A. 80+20=100 No

B. 120+20=140 No

C. 160+20=180 Yes

D. 200+20=220 No

The Answer is C

Hope This Helps!!!

Answer:

x = 20

Step-by-step explanation:

The triangle has 2 congruent sides and is therefore isosceles with 2 congruent base angles, both 3x + 8

5x + 12 and 3x + 8 lie on a straight line and sum to 180° , that is

5x + 12 + 3x + 8 = 180

8x + 20 = 180 ( subtract 20 from both sides )

8x = 160 ( divide both sides by 8 )

x = 20

Find X and show work please, answer as mixed number

4 1/2 ≤ 1.2x

Answers

the answer is 3 3/4

Figure ABCD is transformed to obtain figure A′B′C′D′:

A coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 4, 1, B prime at 2, negative 1, C prime at 2, negative 4, D prime at 4, negative 2.
Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)

Part B: Are the two figures congruent? Explain your answer. (4 points)

Answers

Answer:

Reflected along x axis

Translated 7 units to the right

Step-by-step explanation:

If a point (x, y) is reflected along the x axis, its x coordinate remains the same and the y coordinate is opposite (negated). The new point is at (x, -y)

If a point (x, y) is translated h units to the right, the new coordinate is (x+h, y).The transformation are as follows:

It is reflected along the x axis so that the new coordinates would be at A1 at (- 4, -4), B1 at (- 2, -2), C1 at (- 2, 1), D1 at (- 4, -1)

It is translated 7 units to the right, The new coordinates are A' at (3, -4), B' at (5, -2), C' at (5, 1), D' at (3, -1)

Hope that's better

Find the value of x when 6-2x =5x-9x+16The value of x is

Answers

Answer:

5

Step-by-step explanation:

6-2x = 5x-9x+16

leave the x's together: (going over the equal signs changes the sign)

-2x-5x+9x = 16-6

2x = 10

x = 5


Ok done. Thank to me :>

TACOS Orlando spent $18 at a taco truck. He ordered 4 tacos. Write and solve an equation to
find the cost of each taco.

Answers

Answer:

$4.5 for one taco

Step-by-step explanation:

18 divided by 4

The division is a process of splitting a specific amount into equal parts.

The equation to find the cost of each taco truck is 4x = 18.

The cost of each taco truck is $4.5.

What is division?

The division is a process of splitting a specific amount into equal parts.

Example:

5 apples cost $60.

Cost of each apple = 60/5 = $12.

We have,

Total amount spend = $18

Number of taco trucks where $18 was spent = 4

Let the cost of each taco truck = x

The equation to find the cost of each taco truck can be written as:

4x = 18

We need to find x.

x = 18/4

x = $4.5

Thus the cost of each taco truck is $4.5.

Learn more about division here:

https://brainly.com/question/28639260

#SPJ5

Mr. Bannon sells roses at a commission rate of 25%. What is his commission for selling 235 dozen roses, priced at $15.50 a dozen? NEED HELP IMMEDIATELY

Answers

Step-by-step explanation:

that means he gets 25% of the sales.

he sold 235 dozen roses for $15.50 per dozen.

so, the total sales was

235 × 15.5 = $3,642.50

100% = $3,642.50

25% = 100%/4 = $3,642.50/4 = $910.63 (rounded to cents)

Can someone plz help with 21?? Thanks!

Answers

Answer:

4) -11.3...

Step-by-step explanation:

distribute both sides to get (1/6)x - (4/3) = (4/15)x - (1/5)

move the variables to one side and the constants to the other: ((4/15) - (1/6))x = (-(4/3) + (1/5))

simplify to get (1/10)x = (-17/15) multiply everything by 10 to get x=-34/3 or -11.33333333333333333...

Answer:

option 4

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] ([tex]\frac{1}{4}[/tex] x - 2) = [tex]\frac{1}{5}[/tex] ([tex]\frac{4}{3}[/tex] x - 1) ← distribute parenthesis on both sides

[tex]\frac{1}{6}[/tex] x - [tex]\frac{4}{3}[/tex] = [tex]\frac{4}{15}[/tex] x - [tex]\frac{1}{5}[/tex]

Multiply through by 30, the LCM of 6, 3, 15, 5

5x - 40 = 8x - 6 ( subtract 8x from both sides )

- 3x - 40 = - 6 ( add 40 to both sides )

- 3x = 34 ( divide both sides by - 3 )

x = - [tex]\frac{34}{3}[/tex] = - 11.333..

Fill in the missing numbers to complete the linear equation that gives the rule for this table.

Answers

Answer:

y= -10x-24

Step-by-step explanation:

To write the linear equation, first find the slope.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Let's pick the first two x and y values as our coordinate points.

(1, -34) (2, -44)

[tex]\frac{-44-(-34)}{2-1} =-10[/tex]

The slope is -10.

Use the point-slope formula to write the equation.

y-y1= m(x-x1)

y-(-34)= -10(x-1)

y+34= -10x+10

y= -10x-24


Simplify these expressions
a) x^5 x x^2
b) y^5 x y

Answers

The answer is
X^8
Y^6

solve the equation. Show all your work. Put your final answer in the blank.)
12x + 9 1 = 12

Answers

hope this help u and good luck

Answer:

x=(-79/12) or -6 7/12

Step-by-step explanation:

12x+91=12

     -91   -91

12x=-79

(12x/12)=(-79/12)

x=(-79/12) or -6 7/12

compare 8/11 to 3/5

PLEASE HELP !!!

Answers

Rewrite both fractions with a common denominator:

8/11 x 5 = 40/55

3/5 x 11 = 33/55

40/55 is greater than 33/55 so 8/11 is greater than 3/5

BRAINLIEST!Blake is the Human Resources manager for a correctional facility. What is one task that Blake might have as part of his job?

A.
confirming appointments for the director of the facility

B.
looking over the costs of new supplies for the facility

C.
mediating a dispute between two employees

D.
organizing the outdoor video surveillance of the facility

Answers

The answer is A confirming appointments for the director of the facility

Answer:

Organising the outdoor video surveillance

Step-by-step explanation:

See he is a manager.

His work is to take care of all resources of companyVideo surveillance must be used for security

12 circles to 8 squares simplified is what

Answers

The ratio of circles to squares is 3:2 that means for every 3 circles there will be 2 squares all you have to do to find this answer is divide 12 and 8 by 4.

The graph of y=f(x) is shown below. Find all values of x where f(x)=5

Answers

Answers:   -6 and -4

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

Explanation:

Refer to the drawing below. Locate 5 on the y axis. Draw a horizontal line extending as far as you can to the left and right.

This horizontal line crosses the parabola in two locations. From those two locations, drop a vertical line straight down until you reach the x axis. You should reach x = -4 and x = -6

This shows that f(-4) = 5 and f(-6) = 5.

Phrased another way: the points (-4,5) and (-6,5) are on the parabola.

find the measure of each variable

Answers

Answer:

m∡r = 35°

m∡t = 145°

m∡u = 35°

m∡v = 90°

m∡w = 125°

Step-by-step explanation:

m∡r = 180-(134+11)

= 180 - 145

m∡r = 35°

m∡r + m∡t = 180°

35 + t = 180

m∡t = 145°

m∡t + m∡u = 180°

145 + u = 180

m∡u = 35°

m∡u + m∡v + 55° = 180°

35 + 55 + m∡v = 180

m∡v = 90°

m∡w + 55° = 180°

m∡w  = 125°

Find the slope of the line that passes through (3, 3) and (9,8). Simplify your answer and write it as a proper fraction, improper fraction, or integer​

Answers

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

In order to find the answer, you need to use the slope formula, substitute, subtract, and simplify if needed.

Slope formula = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

[tex]\frac{y^2-y^1}{x^2-x^1}=\frac{8-3}{9-3}[/tex]

[tex]8-3 = 5[/tex]

[tex]9-3 = 6[/tex]

= [tex]\frac{5}{6}[/tex]

Hope this helps.

40 hours is what part of 120 hours

Answers

Answer:

1/3 part of 120 hours....

Mr Thompson drew a rectangle on the chalk board with a length to width ratio 5 to 2 he asked students to draw a rectangle with the same ratio of length to width in their journals. Audrey plans to draw a rectangle with a width of 6 centimetres .

Answers

get ratioed                           skull skull

Solve for X Enter the answer only with no spaces between numbers, symbols, and or variables

Answers

Answer:

x=-23

Step-by-step explanation:

Since 180° is a straight line you must find a way to get 180 by adding 97°,106°, and x.

Therefore, x must be equal to -23.

Find the size of unknown angles ​

Answers

Answer:

hope it helps.

plzz give me brainliest

Find the diameter of a circle with a circumference of 443 feet. Use 3.14 for pi

143
21
7
5

and if you can go answer my other questions????? plzzz

Answers

Diameter is 1.41 if you use the formula it’s suppose to give you 1.41

1/3x^2 = -3

The solution to the equation is ___?

Answers

[tex]\dfrac 1{3x^2} = -3\\\\\implies -9x^2 = 1\\\\\implies x^2 = -\dfrac 19\\\\\implies x = \pm\sqrt{-\dfrac 19} = \pm \dfrac 13i[/tex]

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