Exercise #6: Demarco is trying to determine how many pennies he has without having to count
them. He first weighs 20 pennies and finds they have a total weight of 54 grams. He then weighs
all the pennies and finds they weigh a total of 918 grams.
(a) Determine how much a single penny
weighs, i.e. the grams per penny.
(b) Use your answer from (a) to determine
how many pennies Demarco has.

Answer:

Equation = 3x - 6 = 18

Solving of equation =

                                 x = 8

Step-by-step explanation:

let the number be x

Now let us first set an equation

less than means - subtraction

3x - 6 = 18

Now let us solve the equation and find the value of x

3x - 6 = 18

Transpose

3x = 18 +6

3x = 24

x = 24 ÷ 3

x = 8

Equation = 3x - 6 = 18

Solving of equation =

                                 x = 8

Answer:

X&Y

Step-by-step explanation:

simple

very nice questions

Answer:

d: x equals 50 degrees and y equals 90 degrees

Step-by-step explanation:

thats the answer for the first one

Answer:

5x+3(x+3) = 5x+3x+9 = 8x+9

The composite function m(n(x)) is 70x²+ 19

Given the functions

m(x)=10x−9

n(x)=7x²+4

We need to get the composite function m(n(x))

m(n(x)) = m(7x²+4)

To get m(7x²+4), we need to replace x as 7x²+4 in function m(x) as shown:

m(7x²+4) = 10(7x²+4) - 9

m(7x²+4) = 70x²+ 28 - 9

m(7x²+4) =  70x²+ 19

Hence the composite function m(n(x)) is 70x²+ 19

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First, do -2 x 3

and that will equal -6,

so your answer will be 7^-6

if you also want to solve 7^-6

it will be.... (Look at the photo)

__________

[tex] \: [/tex]

[tex]({7}^{ - 2} ) {}^{3} = ...[/tex]

[tex] = {7}^{ - 2 \times 3} [/tex]

[tex] = {7}^{ - 6} [/tex]

[tex] = \frac{1}{ {7}^{6} } [/tex]

[tex] = \bold{\frac{1}{117.649}} [/tex]

The missing statement for the proof is;

Statement 3;S3 : 9x + 54 = 116

The missing reasons for the proofs are;

R1; Given

R2; Using Addition property of inequality

R3; Distributive property

R4; Using subtraction property of inequality

R5; Using Division property of inequality

The correct question can be found at https://brainly.com/question/25052574

We are given the equation;

9(x + 6) − 41 = 75

Step 2;

Using addition property of equality, we add 41 to both sides;

9(x + 6) - 41 + 41 = 75 + 41

9(x + 6) = 116

Step 3;

Using distributive property to distribute 6 over the items in the bracket to get;

9x + 54 = 116

      9x + 54 - 54 = 116 - 54

       9x = 62

      9x/9 = 62/9

       x = 62/9

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Simplification :

Answer:

Step-by-step explanation:

Combine Like Terms:

= 17x + 5y + − 4x + 10y

= (17x + −4x) + (5y + 10y)

= 13x + (5y + 10y)

Answer:

x = -3

Step-by-step explanation:

Given the equation,  -4(10 + 3x) - (x + 8) = - 9:

Distribute -4 into (10x + 3x), and - 1 into (x + 8):

-4(10 + 3x) - (x + 8) = - 9

-40 -12x - x - 8 = -9

Combine like terms:

-48 - 13x = -9

Add 48 to both sides:

-48 + 48 - 13x = -9 + 48

-13x = 39

Divide both sides by -13:

[tex]\frac{-13x}{-13} = \frac{39}{-13}[/tex]

x = -3

Therefore, x = -3

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The length of each piece be 3.25 inches.

We have Trinity who has 48.75 inches of ribbon. She cut the ribbon into 15 equal-sized pieces.

Assume that the length of each piece be [x]. Then, we can write -

15x = 48.75

x = 48.75/15

x = 3.25 inches

Therefore, the length of each piece be 3.25 inches.

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Answer:

43/40 or 1 3/40

Step-by-step explanation:

9/10 - (1/8 - 3/10)

Remember, we have to solve what's in the parentheses first!

To find 1/8 - 3/10, we must find the least common multiple of the denominators, which is 8 and 10.

Let's list the multiples of 8 and 10

Multiples of 8: 8, 16, 24, 32, 40, 48, 56...

Multiples of 10: 10, 20, 30, 40, 50, 60...

We found a match! 40 is a multiple of both 8 and 10, so we can use that.

To make the denominator 40 for 1/8, we have to multiply both the numerator and denominator by the same number, and the denominator must equal 40 after.

So,

8 times what equals 40?

To make it easier, we can do 40 / 8, which is 5.

That means we multiply the denominator and numerator by 5, so we get 5/40 - 3/10.

If you do the same thing for 3/10, you get 12/40.

Our equation is much easier!

We can easily do 5/40 - 12/40, which is -7/40.

Now, we do 9/10 - (-7/40)

Remember, two minuses right next to each other make a plus!

Our equation is now 9/10 + 7/40.

If you do the least common multiple for 9/10, you get 36/40.

Finally, we do 36/40 + 7/40, which is 43/40.

If it's asking for a mixed number, it would be 1 3/40.

Therefore, 9/10 - (1/8 - 3/10) equals 43/40 or 1 3/40!

Hope this helped :)

Answer: The simplest form of this equation is 16q-12

Step-by-step explanation:

Answer:

(-7q+1) + (9q-13)

2q - 12

Step-by-step explanation:

The first step you'll take is to combine like terms:

-7q + 1 + 9q - 13 ⬇

-7q + 9q + 1- 13

Then subtract or add the terms⬇

1: -7 + 9q = 2q

2: 1 - 13 = 12

So... 2q - 12

Then this would be your answer!

Tell me if this helps- or if I answered your question! :)

If the question was (7q + 1) + (9q - 13) tho... the answer would be 16q - 12, just follow the same steps⬆

Answer:

Hold on, our servers are swamped. Wait for your answer to fully load.

Step-by-step explanation:

Hold on, our servers are swamped. Wait for your answer to fully load.

The equation best represents a line parallel to the given line is y = 9/5x - 2/15.

The general equation of a straight line is

y = mx + c,

where m is the gradient, and y = c is the value where the line cuts the y-axis.

This number c is called the intercept on the y-axis.

Now it is given that the line passes through (-2,-4) and (3,5).

So here,

x1 = -2;

y1 = -4;

x2 = 3;

y2 = 5

Hence slope of the line is given as,

m1 = (y2 - y1)/(x2 - x1)

⇒ m1 = {5-(-4)}/{3-(-2)}

⇒ m1 = (5+4)/(3+2)

⇒ m1 = 9/5

Since both the lines are parallel, hence

m1 = m2 = 9/5

Therefore equation of line parallel to the given line will be,

(y - y1) = m2( x - x1)

⇒ {y-(-4)} = 9/5{x - (-2)}

⇒ y + 4  = 9/5(x +2)

⇒ y + 4  = 9/5x + 18/5

⇒ y = 9/5x + 18/5 - 4

⇒ y = 9/5x - 2/15

Hence, The equation best represents a line parallel to the given line is y = 9/5x - 2/15.

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Answer:

Step-by-step explanation:

12 ft x 10.5 ft = Area1

(12+x)*(10.5) = Area2

That looks like C. 10.5(12 + x) square feet

Answer:

The least number should 4851 be divided to get a perfect square number = 11

The square root of the obtained perfect square number is 21

Step-by-step explanation:

Given number = 4851

It can be written as

4851 = 3×1617

4851 = 3×3×539

4851 = 3×3×7×77

4851 = 3×3×7×7×11

4851 = (3×3)×(7×7)×11

It is clear that We should divide the given number by 11 then we get a perfect square number.

4851/11 = 441

441 = 21×21

=> 441 = 21²

=> √441 = √(21²)

=> √441 = 21

The least number should 4851 be divided to get a perfect square number = 11

The square root of the obtained perfect square number is 21

→ Prime Factorization Method

Answer:

11 is the least number and the when you take the square root of the number you get 21

Step-by-step explanation:

The easiest way to solve this problem is guess and check.

First of all, a perfect square NEEDS to be a WHOLE number

Since 4851 is odd, you cannot divide it by an even number evenly, as it would result in a number with a remainder or leftover decimal amount.

This means you cannot divide by 2, 4,8...etc

We just have to guess and check odd numbers starting at 3.

4581/ 3 = 1527                 sqrt(1527) = 39.07684737    decimal so not this one

4581/ 5 = 916.2               decimal so not this one

4581/ 7 = 654.4285714  decimal so not this one

4581/ 9 = 509                 sqrt(509) = 22.56102835     decimal so not this one

4581/ 11 = 441                  sqrt(441) = 21

This is the first instance where 4581 is divisible by a number that yields a perfect square, so 11 is the least number and the square root of the result is 21.

Queremos encontrar y resolver una ecuación algebraica con los datos dados.

Veremos que  se pagaron 185.50 pesos del telefono.

La información que se nos da es:

Sabemos que de 1000 pesos sobraron 74.50, entonces podemos escribir:

1000 - 250 - 490 - X = 74.50

Ahora podemos resolver esto para X.

1000 - 250 - 490 - X = 74.50

260 - X = 74.50

X = 260 -  74.50 = 185.50

Así podemos concluir que se pagaron 185.50 pesos del telefono.

Sí queres aprender más, púedes leer.

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Answer:

Step-by-step explanation:

The linear equation where:

[tex]\large \boldsymbol {} \sf y=\underbrace{m}_{slope }x \ +\underbrace{b} _{y -intersept}[/tex]

Solution :

[tex]\displaystyle \sf \#13. \\\\ 6x-3y=8 \\\\\ -3y=8-6x \\\\y=-\frac{8-6x}{3} \\\\ \boxed{\sf y=2x-2\frac{1}{3} }} \\\\ slope =2 \\\\ y-intersept =-2\frac{1}{3} \\\\-------------[/tex]      

 [tex]\sf \#14 . \\\\\\ 7x=5y+2 \\\\5y=7x-2 \\\\y =\dfrac{7x-2}{5} \\\\ \boxed{\sf y=1,4x-0,4} \\\\slope = 1,4 \\\\y-intersept =-0,4 \\\\---------------[/tex]  

    [tex]\dispalystye \sf \#15. \\\\ -6y+4x=8 \ |\div2 \\\\-3y+2x=4 \\\\ y=-\dfrac{4-2x}{3} \\\\ y=\boxed{\sf \frac{2x-4}{3} } \\\\slope = \dfrac{2}{3} \\\\ y-intersept = -\dfrac{4}{3 }\\\\ -----------------[/tex]

[tex]\sf \#16 .\\\\ x+y=2x+3 \\\\y=2x-x+3 \\\\\boxed{\sf y=1\cdot x+3} \\\\slope =1 \\\\y-intersept =3[/tex]

Answer:

It will be 381. You round up if it is five and over, and round down if 5 and below.

Step-by-step explanation:

A decimal cannot be a whole number so rounding to the nearest whole number means getting rid of the decimal. You do this by rounding up if it 5 and up, and rounding down if it is 5 and below. 380.5 means you would round up to 381. If it it were 380.4, you would round down to 380.

Answer:

381

Step-by-step explanation:

any number 5 and over will round up

Answer:

anong grade po yan mam/sir?

7po yan

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Using Trigonometry :

[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\Rrightarrow tany=\dfrac{JL}{KL}[/tex]

[tex]\\ \rm\Rrightarrow tany=\dfrac{20}{21}[/tex]

Answer:

52, 21, 94

Step-by-step explanation:

y=3(14)+10

73=3x+10

63/3=21

y=3(28)+10

=94

Answer:

I think -1/3

Step-by-step explanation:

Its negative bc the line is moving from left to right

Take 2 points from the line.

At the origin, (0,0)

And (6,-2) a point in fourth quadrant

m = y2 - y1

x2 - x1

m = -2 - 0

6 - 0

m = -1/3.

The 3rd option is the correct option.

Answer:

the 2nd one would be a good choice

Answer:

Step-by-step explanation:

y = 63    {Vertical angles are congruent}

y + z + 85 = 180   {Angle sum property of triangle}

36 + z + 85 = 180

      z + 121 = 180

               z = 180 - 121

z = 59

63 +  x = 130   {External angle  property of triangle}

       x   = 130 - 63

x = 67

Answer:

$15.14

Step-by-step explanation:

-20.45+35.59 or 35.59-20.45

15.14

Answer:

37

Step-by-step explanation:

The two angels are congruent, meaning they're the same. So its just what multiplied by 2 gets 74. So 74 divided by 2 is 37.

I hope I could help. Enjoy your day! Maybe brainiest if this was right?

No pressure! :)

Answer:

37

Step-by-step explanation:

This is a vertical angle, meaning 74 and 2x would be equivalent to each other. So we have to make 2x equal to 74. We set up an equation, 2x = 74. Divide 2 for both sides; 74 divided by 2 = 37; 2x divided by 2 (2 cancels out, leaving x alone). Therefore, x = 37.

To check, substitute x with 37. 37 times 2 is 74, and since the left is 74 the right also have to be 74.

Answer:

Step-by-step explanation: 1/2x=16

16x4=64, Although this is not exactly 55 cookies, you can either make more or less. So you need 4 salt, to make 55.

Answer:

[tex]\frac{55}{32}[/tex] tsp

Step-by-step explanation:

To find out how much salt you would need to make 55 cookies, you need to find how much salt makes 1 cookie:

If [tex]\frac{1}{2}[/tex] tsp of salt makes 16 cookies, then ([tex]\frac{1}{2}[/tex] ÷ 16) tsp of salt will make 1 cookie.

But how much is [tex]\frac{1}{2}[/tex] ÷ 16?

To divide fractions with different denominators easily, use the SFM method:

S - Skip

F - Flip

M - Multiply

[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{16}{1}[/tex]      First, Skip your focus to the 2nd number. This is what will be changed.

[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{1}{16}[/tex]      Next, Flip the numerator and denominator.

[tex]\frac{1}{2}[/tex] × [tex]\frac{1}{16}[/tex]      Finally, multiply the two numbers together.

[tex]\frac{1}{32}[/tex]

[tex]\frac{1}{32}[/tex] tsp of salt will make 1 cookie.

Now to find the amount needed for 55 cookies:

To find the amount of salt needed to make 55 cookies, multiply [tex]\frac{1}{32}[/tex] × 55.

[tex]\frac{1}{32}[/tex] × [tex]\frac{55}{1}[/tex] = [tex]\frac{55}{32}[/tex]

Because the fraction cannot be simplified further, the amount of salt that is needed to make 55 cookies is [tex]\frac{55}{32}[/tex] tsp.

Answer:

y = 1/2x - 6

Step-by-step explanation:

Key:

m = slope

b = y-intercept

Slope:

( 0 - - 6 ) / ( 12 - 0 )

( 6 ) / ( 12 )

1 / 2

y-intercept:

( -6, 0 )

Hopefully this helped!

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