Work out the values of a and b in the identity
5(7x + 8) + 3(2x + b) ≡ ax + 13

Answers

Answer 1
The correct answer is A = 41+3b/x+27/x
B = ax/3-41x/3 - 9

Related Questions

Danielle worked at the warehouse after school. She earned $9.25 per
hour stacking boxes. The total earnings, e, is dependent on the
number of hours worked, h. Which equation correctly represents the
situation?
Oe= 9.25h
Oh=9.25e
od=
9.25
h
Oh=
9.25
d

Answers

Huh? I honestly am lost in this world it’s draining my mental health....what if I just end it? Will anyone care? Probably not....... I’m not allowed to feel this way bc my parents say it’s the devil trying to take me away from god but honestly I don’t believe that..

Please help!!! 10 points for it!!

Answers

Answer:

Step-by-step explanation:

x = 180 - ((180-96)+(180-130))

x = 180 - (84+50)

x = 46°

Answer:

x = 46 degrees

Step-by-step explanation:

180 - 130 = 50

180 - 96 =  84

50 + 84 = 134

180 - 134 = 46

A 120 120 -volt battery is connected to a circuit with 30 30 ohms of resistance. The current in amperes c c flowing through the circuit can be found using the equation 30c=120 30c=120 . How many amperes of current are there in the wire?

Answers

Answer:

just divide 120 divided by 30 is 4 I know it right bc I had the same question on into math if thats what you were on

Step-by-step explanation:

16. Using a standard 52 card deck, what is the probability of pulling the king of hearts if you are
given two attempts (you will pull out one card and then another card)?

Answers

Answer:

Step-by-step explanation:

The way to do this (I think) is to figure out the probability of not getting said king on either throw.

First Throw: P(no King Hearts) = 51/52

Second Throw: P(no King Hearts) = 50/51

Total probability = 51/52*50/51 = 50/52

Therefore the probability of getting it right is

P(KH) = 1 - 50/52 = 2/52 = 1/26

I have a feeling that this is not correct. If you get a different answer  that looks reasonable, take it.

Sana bought a dress for $32.99 and two purses. The total cost for the three items was $57.97. What was the cost for one purse?

Answers

Answer:

$12.49

Step-by-step explanation:

cost of two purses = $57.97 - cost of dress = $57.97 - $32.99 = $24.98

cost of one purse = $24.98 ÷ 2 = $12.49

Kelly bought 3 pounds of chicken for 6.99 per pound 20 pounds of dog food 1.95 Per pound prices include the sales tax Kelly gave the cashier $60 how much change should Kelly receive

Answers

Answer: 3 cents

Step-by-step explanation: multiply the price per pound by the amount of pounds purchased for both items and add them together. Then take the amount paid and subtract the total from what was paid to get the change.

Solve the formula 2x+3y=12 for y

Answers

Answer:

y=4−2x/3

Step-by-step explanation:

Move all terms that don't contain y to the right side and solve.

Albert moved 1/4 of lawn and son mowed 3/7 of how much is left to mow

Answers

Answer: 5/28 left to mow

Step-by-step explanation:

How much is left means we have to subtract the fractions.  The easiest to do is subtract using the larger fraction first which is 3/7.

3/7 - 1/4

Since you have unlike terms in your denominator, look for that one common factor that can divide into 7 and 4, the numbers in your denominator.  In this case there is no common factor, so you have to multiply the 2 numbers in your denominator to get the common factor that would be 7 x 4=28.  28 is new the common factor you will use for each denominator. Now we have to make adjustments to the numerator:

3/7 becomes 12/28 because you have to say to yourself how many times 7 in your oringinal denominator go into 28, your new denominator, which=4.  Now you multiply that 4 by the numerator 3 and that would =12 now you have 12/28.  For the 1/4, it becomes 7/28 because you have to say to yourself how many times 4 go into 28 which =7.  Now multiply 7 by the numerator 1 which =7.  Now you have 7/28. Now you can subtract and solve for your answer:

3/7 -1/4 converted to:

12/28 - 7/28  subtract numerators 12-7 and keep the same denominator

Ans: 5/28 left to mow

PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT
PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT
PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT
PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT

Answers

Answer:

see below

Step-by-step explanation:

to understand thisyou need to know about:algebraPEMDASlet's solve:

given function:

[tex] \quad \rm\: f(x) = - 2x +8[/tex]

when x is 0

[tex] \sf \:f(0) = - 2.0 + 8[/tex]

simplify multiplication:

[tex] \sf f(0) = 8[/tex]

when x is 3

[tex] \sf f(3) = - 2.3 + 8[/tex]

simplify multiplication:

[tex] \rm \: f(3) = - 8 + 8[/tex]

add:

[tex] \rm \: f(3) = 0[/tex]

when x is 6

[tex] \quad \rm\: f(6) = - 2.6 +8[/tex]

simplify multiplication:

[tex] \quad \rm\: f(6) = - 12 +8[/tex]

simplify addition:

[tex] \quad \rm\: f(6) = -4[/tex]

when x is 9:

[tex] \quad \rm\: f(9) = - 2.9 +8[/tex]

simplify multiplication:

[tex] \quad \rm\: f(9) = - 18 + 8[/tex]

simplify addition:

[tex] \quad \rm\: f(9) = - 10[/tex]

Answer:

when x =0

f(x)=-2×0+8=8

when x =3

f(x)=-2×3+8=2

when x =6

f(x)=-2×6+8=-4

when x =9

f(x)=-2×9+8=-10

What value of x satisfies the conclusion of the mean value theorem for f(x) = ln(x3) over the interval [1, e2]?

Answers

Answer:

[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].

Step-by-step explanation:

According to the Mean Value Theorem, for all function that is differentiable over the interval [tex][a, b][/tex], there is at a value [tex]c[/tex] within the interval such that:

[tex]f'(c) = \frac{f(b)-f(a)}{b-a}[/tex] (1)

Where:

[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds.

[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds.

[tex]f'(c)[/tex] - First derivative of the function evaluated at [tex]c[/tex].

If we know that [tex]f(x) = \ln x^{3} = 3\cdot \ln x[/tex], [tex]f'(x) = \frac{3}{x}[/tex], [tex]a = 1[/tex] and [tex]b = e^{2}[/tex], then we find that:

[tex]\frac{3}{c} = \frac{3\cdot \ln e^{2}-3\cdot \ln 1}{e^{2}-1}[/tex]

[tex]\frac{3}{c} = \frac{6\cdot \ln e-3\cdot \ln 1 }{e^{2}-1 }[/tex]

[tex]\frac{3}{c} = \frac{6}{e^{2}-1}[/tex]

[tex]c = \frac{1}{2}\cdot (e^{2}-1)[/tex]

[tex]c \approx 3.195[/tex]

[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].

Answer:

C. 1/2(e^2-1)

Step-by-step explanation:

Edge AP Cal 2022

Find the perimeter of a triangle with side lengths: (y + 5) ft, (3y + 5) ft, and (4y - 3) ft.

Answers

Answer:

8y + 7

Step-by-step explanation:

add them: y + 5 + 3y + 5 + 4y - 3 = 8y + 7

. A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives via the internet, thirty percent of the time via email. If it enters via the internet, the system detects it immediately with probability 0.6. If via e-mail, it is detected with probability 0.8. What percentage of times is this spyware detected

Answers

Answer:

This spyware is detected 66% of the time.

Step-by-step explanation:

We have these following percentages:

70% of the time, the spyware arrives via the internet, and in this case, is detected 60% of the time.

30% of the time, the spyware arrives via e-mail, and in this case, is detected 80% of the time.

What percentage of times is this spyware detected

Sum of 60% of 70%(arrived via spyware, detecte) and 80% of 30%(arrive via e-mail, detected). So

[tex]0.6*0.7 + 0.8*0.3 = 0.42 + 0.24 = 0.66[/tex]

This spyware is detected 66% of the time.

Drag each expression to show whether it is equivalent to 6(4x−1), 24x+6, or (4⋅6x)+(4⋅2) somebody please help me i need to get this right

Answers

1.We have to find equivalent expression of ⇒ 54 x+18

These are the equivalent expression of

=3×3×3×2× x+3×3×2

=3×3×2×(3 x+1)

=18×(3 x+1)

2.⇒Equivalent expression of→ 18×(3 x-1)

=18× 3 x -18------[Using commutative property of Multiplication with respect to subtraction)

=54 x-18

3.⇒Equivalent expression of→6×9 x+ 6×1

                 =54 x +6

⇒Option B

6×9 x +6×3-------equivalent expression of →54 x+18

⇒Option C

54 x+6-------equivalent expression of →6×9 x+ 6×1

⇒Option D

3×(18 x+2)------equivalent expression of →6×9 x+ 6×1

⇒Option F

9×6 x -9×2-------equivalent expression of → 18×(3 x-1)

(credit to: not me-)

Answer:

wrong question i'm sorry, but I can't delete this lol so here's my question :(

Drag each expression to show whether the expression is equivalent to 12x−6, 24x+12, or neither.

Priya has 5 pencils, each x inches in length. When she lines up the pencils end to end, they measure 34.5 inches. Select all the equations that represent this situation.

Answers

Answer:

Step-by-step explanation:

You would have to divide 34.5 and 5 to be able to find out what each pencil measurement the answer is 6.9.

Let f represent any number in the set of even integers greater than 4. Which
inequality is true for all values of f? *

Answers

Answer:

The inequality f ≥ 4n +2 is true for all values of 'f'

Step-by-step explanation:

Explanation:-

Let 'f'  represents any number

The set of even integers greater than '4'

f = { 6, 8, 10,12, 14 ,.............}

we have to write the inequality equation

f ≥ 4n +2

Final answer:-

The inequality f ≥ 4n +2 is true for all values of 'f'

Does anybody know the answer to this

Answers

Answer: I believe it's b

Step-by-step explanation:

\pi = 3.14159265...

It is most likely b

It is definitely b if I’m sure

Aleesia has a box of 52 muffins. she wants to put out plates that each have the same numbers of muffins. what is one possible way Aleesia could put an equal number of muffins on each plate so there are no muffins left over?

Answers

Just see what even number 52 can go into

Estimate the diameter of a circle with a circumference of 80 feet
1. 12.74 feet
2. 25.48 feet
3. 40 feet
4. 50.96 feet

Answers

Answer:

2) 25.48

The diameter of the circle     d = 25.48                

Step-by-step explanation:

Step(i):-

we know that the diameter of a circle  d = 2 r

The circumference of the circle = 2π r

Given that the circumference of the circle = 80 feet

Step(ii):-

 The circumference of the circle = 2π r = 80

                                ⇒ π (2r )= 80

                               ⇒  πd = 80

                               ⇒ [tex]d = \frac{80}{3.14}[/tex]

                                  d = 25.477

Final answer:-

The diameter of the circle     d = 25.477                                

A certain field is a rectangle with a perimeter of 870 feet. The length is 191 feet more than the width. Find the width and length of the rectangular field

Answers

Answer:

it is 679

Step-by-step explanation:

Find the area of the following shape:

Answers

Answer:

Step-by-step explanation:

Area:=45

Miles Traveled
225
175
Miles
125
75
25
X
0 1 2 3 4 5 6 7 8 9 10
Hours

Answers

Sorry I’m confused is there supposed to be a picture

Which of the following is a rational number?
8
91
JT
48
49

Answers

Answer:

A rational number is any number that can be expressed as a ratio of two integers (hence the name "rational"). ... For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi (π) is irrational since it cannot be written as a fraction

Step-by-step explanation:

91, 49, 48, 8 are rational number

© Find the equation of the line of symmetry for the equation of the graph below.
y = x2
4x
45
T =

Answers

ANSWER:: X= -2

HOPE IT HELPS!!! :D

Add.
(2x - 7) + (3x - 1)
O A. 5x - 8
B. 5x + 8
O C. 5x-6
D. 5x + 6

Answers

Your answer is B. 5x+8

PLZ HELP WILL GIVE BRAINLEST

Answers

Answer:

The first one (Cedric is correct because he used the inverse of subtraction and added 4.5)

Step-by-step explanation:

First....I'll do it my way

z - 4.5 = -1.5

Add 4.5 on both sides

z - 4.5 + 4.5 = -1.5 + 4.5

z = 3

This should be our answer.....and so who did it right?

Cedric did

Which is the true statement?

Cedric is correct because he used the inverse of subtraction and added 4.5

Hope this helped!

Have a supercalifragilisticexpialidocious day!

There is a rope hanging from the top of a pole with 3 feet of it lying on the ground. When it is tightly stretched, so that the end just touches the ground, it reaches a point 8 feet from the base of the pole. How long is the rope

Answers

Answer:

length of rope [tex](P+3) =12.167[/tex]

Step-by-step explanation:

From the question we are told that

Length of rope on Ground [tex]L_1=3 feet[/tex]

Length of rope from pole base when stretched [tex]L_2=8feet[/tex]

Given length of pole as P

length of the rope is therefore given by

[tex]P+3[/tex]

Generally the Pythagoras theorem is mathematically given by

[tex]P^2+8^2=(P+3)^2[/tex]

[tex]P^2+64=P^2+9[/tex]

[tex]P=9.167[/tex]

Therefore

length of rope [tex]P=9.167[/tex]

length of rope [tex](P+3) =9.167+3[/tex]

length of rope [tex](P+3) =12.167[/tex]

HELPPPPPPPPPPPPPPPPPPPP QUICK PLEAAAAAAAAAAAASE

Which of these geometric figures can intersect to form a cross section? Check all that apply.
1. a line and a prism
2. a line and a rectangle
3. a point and a prism
4. a prism and a horizontal plane
5. a vertical plane and a pyramid

Answers

A:line and a prism.
B:line and rectangle

answer quick please
Which sentence can be represented by the equation 5 m=15?
The sum of 5 and a number is 15.
Three-fifths more than a number is 15. Three-fifths times a number is 15. 3
The quotient of Ğ and a number is 15.​

Answers

Answer:

the answer is c

Step-by-step explanation:

Three-fifths times a number is 15.

7. Chris used some square tiles to make an array. He made 8 equal rows
and had 3 tiles left over. He started with more than 80 tiles, but less than 100.
a) How many tiles did he start with? Find more than one answer.
Show your steps.

Answers

Answer:

83  and 91

Step-by-step explanation:  10 rows of 8.

8x10 =80

80+3=83

Next option 11 rows of 8

8x11=88

88+3=91

Manny bought a car for $32,985. Five years later, the car was worth $19,500. Find the percent of change in the value of the car.

Answers

Answer:

is 40.9

Step-by-step explanation:

The percent of change in the value of the car is 40.88%

What is percentage?

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Given that, Manny bought a car for $32,985. Five years later, the car was worth $19,500.

Percentage change = (32985-19500)/32985*100 = 40.88%

Hence, The percent of change in the value of the car is 40.88%

For more references on percentage, click;

https://brainly.com/question/29306119

#SPJ2

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