Bruno claims that the solution to the linear equation −3(2x+6)+25=1 is x=1. He shows the steps below to justify his solution.

Answer:

Step-by-step explanation:

Proportion can be defined as the effect of changing one quantity on the other.

Given that

‘c’ is directly proportional to‘d’

It can mathematically be written as:

c∝d

A constant is introduced in the equation when the proportionality symbol will be removed. The constant is called constant of proportionality

[tex]c =kd[/tex]

Given that

c = 24 when d = 4

Putting the values

[tex]24 = k(4)\\k = \frac{24}{4}\\k = 6[/tex]

Putting the value of k

[tex]c = 6d[/tex]

Putting d = 8

[tex]c = 6(8) = 48[/tex]

Putting c = 54

[tex]54 = 6d\\d = \frac{54}{6}\\d = 9[/tex]

Hence,

Answer:

idrk

Step-by-step explanation:

Answer:

0.64 Fraction: 16/25   Percent: 64%

55%  Fraction: 11/20    Decimal: 0.55

0.16    Fraction: 4/25           Percent: 16%

17/100  Decimal: 0.17            Percent: 17%

0.35       Fraction: 7/20        Percent: 35%

28%     Fraction: 7/25          Decimal: 0.28

62.5%    Fraction:  5/8          Decimal: 0.625

Step-by-step explanation:

Answer:

0.64 Fraction: 16/25   Percent: 64%

55%  Fraction: 11/20    Decimal: 0.55

0.16    Fraction: 4/25           Percent: 16%

17/100  Decimal: 0.17            Percent: 17%

0.35       Fraction: 7/20        Percent: 35%

28%     Fraction: 7/25          Decimal: 0.28

62.5%    Fraction:  5/8          Decimal: 0.625

Step-by-step explanation:

Answer:

31.98

Step-by-step explanation:

78 * .41 = 31.98

Answer:

9

Step-by-step explanation:

Answer:

10/2

Step-by-step explanation:

first 10/2=5

you divide 10 into 2 until you get 5 of such groups

Answer: The probability is  32/81, or  0.395 in decimal form

Step-by-step explanation:

Each question has 3 answers.

one of the answers is correct, and 2 are incorrect.

Then the probability of selecting at random the correct answer, is equal to the quotient between the number of correct answers and the total number of answers, this is:

p = 1/3.

Then the probability of answering wrong is:

q = 1 - 1/3 = 2/3.

Now, we want to find the probability of answering exactly one question correctly.

Let's suppose that Ellen answers correctly the first question, and incorrectly the other 3.

then we have the probability 1/3 one time, and the probability 2/3 3 times.

And as we know, the joint probability will be equal to the product of the individual probabilities, this is:

P = (1/3)*(2/3)*(2/3)*(2/3).

But this is for the case where only the first one is answered correctly, we also have the cases where:

the 2nd is the only one answered correctly

the 3rd is the only one answered correctly

the 4th is the only one answered correctly.

Then we have 4 permutations, which means that the actual probability of answering only on question correctly is:

P' = 4*P = 4*(1/3)*(2/3)*(2/3)*(2/3) = (4*2*2*2)/(3*3*3*3) = 32/81 = 0.395

Step-by-step explanation:

I don't think she want's a nose ring, Okay start by writing a pretty poem then Give a meaningful necklace. Girl like jewlry

Answer: 20 examiners.

Step-by-step explanation:

We know that 10 examiners need 6 hours to mark all the papers.

Then if R is the rate at which one examiner can mark all the papers, we have the equation:

(10*R)*6h = marking all the papers = 1

(i will use the 1 to represent the complete task)

then we have:

(10*R)*6h = 1

60h*R = 1

R = 1/60h

This means that only one examiner would need 60 hours to mark all the papers.

This time, we have N examiners, and they marked the same amount of papers in 3 hours, then we have thee equation:

(N*R)*3h = 1

(N*1/60h)*3h = 1

N*(3h/60h) = 1

N*(1/20) = 1

N = 1/(1/20) = 20

N = 20

This time, there are 20 examiners.

Answer:

The question at the top is:

Factor  

x 2 + 2 x − 63

using the AC method.

( x − 7 ) ( x + 9)

WHICH THE ANSWER IS (B)

The question at the bottom is:

Factor  

x 2 + 18 x + 80

using the AC method.

( x + 8 )  ( x + 10 )

WHICH IS ANSWER (C)

Step-by-step explanation:

Hope this helped! :)

Answer: i don't really know this but i think it´s (3,4)

Step-by-step explanation:

Answer:

bts

Step-by-step explanation:

BTSSS SSSSSSSTU6T

Answer:

44

Step-by-step explanation:

[tex] (\sqrt{99} - \sqrt{11})^2 =  [/tex]

[tex] = (\sqrt{9 \times 11} - \sqrt{11})^2 [/tex]

[tex] = (3\sqrt{11} - \sqrt{11})^2 [/tex]

[tex] = (2\sqrt{11})^2 [/tex]

[tex] = 2^2 \times (\sqrt{11})^2 [/tex]

[tex] = 4 \times 11 [/tex]

[tex] = 44 [/tex]

Answer: 44

Answer:

[tex]1.25\cdot10^{5}[/tex] [tex]or[/tex] [tex]125000[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]1)[/tex] [tex]64\cdot10^{6}[/tex] = [tex]64000000[/tex]

[tex]2 )[/tex] [tex]32\cdot10^{6}[/tex] = [tex]32000000[/tex]

[tex]3)[/tex] [tex]16\cdot10^{6}[/tex] = [tex]16000000[/tex]

[tex]4)[/tex] [tex]8\cdot10^{6}[/tex] = [tex]8000000[/tex]

[tex]5)[/tex] [tex]4\cdot10^{6}[/tex] = [tex]4000000[/tex]

[tex]6)[/tex] [tex]2\cdot10^{6}[/tex] = [tex]2000000[/tex]

[tex]7)[/tex] [tex]1\cdot10^{6}[/tex] = [tex]1000000[/tex]

[tex]8)[/tex] [tex]5\cdot10^{5}[/tex] = [tex]500000[/tex]

[tex]9)[/tex] [tex]2.5\cdot10^{5}[/tex] = [tex]250000[/tex]

[tex]10)[/tex] [tex]1.25\cdot10^{5}[/tex] = [tex]125000[/tex]

[tex]--------------------------------------------[/tex]

The way I solved this question was by dividing each scientific form by two.

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

Answer:

x=5.889

Step-by-step explanation:

2(9x6)=18x+2

108=18x+2

106=18x

x=106÷18

x=5.888888889

She received a 35% discount (A).

Answer:

The object hits the ground with a velocity of 703.6 m/s.

Step-by-step explanation:

Evaluating Functions

The function that relates the velocity v in meters by second with the height h in meters an object was dropped from is:

v = 19.6h

We are required to evaluate the function above if we know the object was dropped from a height of h=35.9 meters.

Substituting in the equation:

v = 19.6*35.9

v = 703.64 m/s

Rounding to the nearest tenth:

The object hits the ground with a velocity of 703.6 m/s.

Answer:

C. 22,400.

Step-by-step explanation:

62.9% = 0.629 as a decimal fraction.

Total number of employees in small businesses in the county

= 270 * 132.

So the estimated number with less than $1000 savings

= 270 * 132 * 0.629

= 22,417.

Answer:

4+18 = 22 thats now in 16  years would be 38 years old

Step-by-step explanation:

a company spent a total of 14,400th in 2001 for the maintenance of its cars a. copy and complete the table below. b. calculate the average expense for car maintenance. vs. maintenance costs have been shown in the circular diagram opposite, but the legend has been deleted. restore this legend.Answer:

Step-by-step explanation:

a company spent a total of 14,400th in 2001 for the maintenance of its cars a. copy and complete the table below. b. calculate the average expense for car maintenance. vs. maintenance costs have been shown in the circular diagram opposite, but the legend has been deleted. restore this legend.

Answer:

2.3f - 21

Step-by-step explanation:

divide the fraction like 4/5 and I'll give you decimal form and you could tell which one was bigger very quickly

Answer:

it 180 degree try to add them all the subtract with 180 and that equals x

Step-by-step explanation:

Answer:

x = -10

Step-by-step explanation:

The angles of a triangle always add up to 180°. This means that (x+46) + 52 + 92 = 180.

First, subtract 92 from both sides of the equation to get (x+46) +52 = 88. Then, subtract 52 from both sides of the equation to get x + 46 = 36. Finally, subtract 46 from both sides of the equation to get x = -10

Answer:

it would be A 160

Step-by-step explanation:

4 square plus + 12 square = 16+144=160

Answer:

C) 4 < x < 12

Answer:

$192

Step-by-step explanation:

That's all I

got

Answer:

=33/40

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

118÷53

Applying the fractions formula for division,

=11×38×5

=33/40

=33/40

Answer:

Step-by-step explanation:

total metre = 10m

If one piece is 4m then 2m more then that = 4 + 2 = 6m

So total = 4 + 6 = 10m