You have a block of metal with a volume of 56 cubic centimeters and a mass of 153 grams.
What is the density?

The post image coordinates are - A'(12,3), B'(10, -5) and C'(7,0)

Here, we are given 3 points A (-6, 15), B (-8,7) and C (-11, 12)

We are given the following translation rule- (x + 18) and (y - 12)

Let us take each point one by one-

A (-6, 15)

here x = -6

⇒ x + 18 = -6 + 18 = 12

and y = 15

⇒ y - 12 = 15 - 12 = 3

Thus the post image of A is (12, 3)

B (-8,7)

here x = -8

⇒ x + 18 = -8 + 18 = 10

and y = 7

⇒ y - 12 = 7 - 12 = -5

Thus the post image of B is (10, -5)

C (-11, 12)

here x = -11

⇒ x + 18 = -11 + 18 = 7

and y = 12

⇒ y - 12 = 12 - 12 = 0

Thus the post image of C is (7, 0)

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The dimensions of the rectangle is found as: (b = 90 cm) and (l = 40 cm

).

Let 'l' be the length of the rectangle.

Let 'b' be the width of the rectangle.

then,

Perimeter = 2(l + b)

The given value of the perimeter = 260 cm.

The length is 50 less than the width.

Thus, l = b - 50.

Put the values in the formula;

260 = 2( b - 50 + b)

Simplify the equation;

260 = 4b - 100

4b = 360

b = 90 cm

Put the value of b in the length;

l = b - 50

l = 90 - 50

l = 40 cm

The dimension are estimated as; (l = 40 cm) and (b = 90 cm).

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The number of possible outcomes is 81

Count of Outcomes :

In the domain of Statistics, the number of possible outcomes for a given help in determining the overall size of the universe of outcomes. From such a universe, one can ascertain the probability or likelihood of desirable outcomes in terms of percentage or fraction.

Let's come to the solution of the question:

Here, the number of possible outcomes for each game is 3 (win, lose, tie).

The total number of possible outcomes is given by:

= Number of outcomes for 1st game * Number of outcomes 2nd game

= 3*3*3*3

=81

Hence, The number of possible outcomes is 81

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The equation of a line that is parallel to y=4x-3 and passes through the point (7, 10) is 4x - y = 18.

Given that;

First, we determine the slope of the line using the slope intercept form.

y = mx + b

m is slope and b is y-intercept.

y = 4x - 3

Comparing with the slope intercept form equation,

Slope m = 4

Now, to determine the the equation of line parallel, the slopes must equal.

We find the line using the point slope formula.

y - y₁ = m(x - x₁)

Plug in m = 4, x₁ = 7, y₁ = 10 and simplify.

y - 10 = 4(x - 7)

y - 10 = 4x - 28

-10 + 28 = 4x - y

4x - y = -10 + 28

4x - y = 18

Therefore, the equation of a line that is parallel to y=4x-3 and passes through the point (7, 10) is 4x - y = 18.

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[tex]\boldsymbol{\sf{(x-6)^{2}-5=0 }}[/tex]

[tex]\boldsymbol{\sf{x-6=\pm\sqrt{5} }}[/tex]

[tex]\boldsymbol{\sf{x-6=\sqrt{5} }}[/tex]

[tex]\boldsymbol{ \sf{x=\sqrt{5}+6 }}[/tex]

[tex]\boldsymbol{\sf{x-6=-\sqrt{5} }}[/tex]

[tex]\boldsymbol{\sf{x=-\sqrt{5}+6 }}[/tex]

[tex]\boldsymbol{\sf{x=\sqrt{5}+6,-\sqrt{5}+6 }}[/tex]

    [tex]\huge \red{\boxed{\boldsymbol{\sf{Answer \ \ \longmapsto \ \ \ x=\pm\sqrt{5}+6 }}}}[/tex]

6(11) = 2 x 3 x 11

Its factors are =1 ,2 ,3 , 6, 11, 22, 33 66

2.3 = 2 x 3

Its factors are = 1, 2, 3, 6

2( 3) = 2 x 3

Its factors are = 1, 2,3, 6

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Natural number multiplication is commutative.

The given number is commutative as -

7.4.1.5 = 5.1.4.7

The answer will always be same irrespective of the order in which it is multiplied

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Answer:

4.5%

Step-by-step explanation:

I = prt

234 = 2600 × r × 2

r = 234/5200

r = 0.045

r = 4.5%

Answer:

4.5%

Step-by-step explanation:

$234 is interest for 2 years

interest for 1 year will be 234/2 = 117

117/2600 = 0.045 which is 4.5%

Using some logarithmic properties, we will see that the solution of the logarithmic equation is 10.5

Here we have some properties that you need to remember.

log(A*B) = log(A) + log(B)

log(A/B) = log(A)  - log(B)

log(Aⁿ) = n*log(A)

Then we can rewrite our equation as:

[log(x²) + log(√z)] - log(y³)

Now, remember that a square root is equal to an exponent of 0.5, then:

[log(x²) + log(√z)] - log(y³) = 2*log(x) + 0.5*log(z) - 3*log(y)

Now we can replace the logarithms by the given values:

2*log(x) + 0.5*log(z) - 3*log(y)

2*7 + 0.5*5 - 3*2 = 10.5

The solution of the logarithmic equation is 10.5

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Answer:

[tex] a = \dfrac{4 - bc}{c} [/tex]

Step-by-step explanation:

c = 4/(a - b)

Multiply both sides by a - b.

c(a - b) = 4

ac + bc = 4

ac = 4 - bc

a = (4 - bc)/c

[tex] a = \dfrac{4 - bc}{c} [/tex]

the answer

155

324

5/9 (87/3(1/12)= 155/324

Answer:

k = 1.75

Step-by-step explanation:

5 - 4k = -7

k = 1.75, because if you subtract 4 from both sides, you are left with 1.75 = -7.

Answer:

k = 3

Step-by-step explanation:

5 - 4k = - 7 ( subtract 5 from both sides )

- 4k = - 12 ( divide both sides by - 4 )

k = 3

The number of glasses of lemonade that can be poured from the cooler is 45.

Given that, an insulated cooler holds 558 ounces of lemon.

We need to find how many full 12.4-ounces glasses of lemonade can be poured from the cooler.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, the number of glasses of lemonade = 558/12.4

=45

Hence, the number of glasses of lemonade that can be poured from the cooler is 45.

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Answer:

y=8,x=-3

Step-by-step explanation:

1/3×+1/4y=1

lcm=12

multiply through by lcm to get equation 1

4x+3y=12

equation 2

2×-3y=-30

equation 2 by 2

using the substitution method

y=8

x=-3

Answer:

Explanation

temperature in a town during day=12.5The temperature in a town is 12.5°F

temperature at night is -23.3°F

difference -23.3°F+12.5°F

=. -10.8

Answer:

18.11

Step-by-step explanation:

Look at the file I attached

I marked a new point E for explanation purposes.

to find out the length of AC, we need to find out the length of CD and the length of CD = length of BE.

To find out the length of BE, we need to know AE, and

AE is AD - BC

AE = 11 - 4

AE = 7

Now we have AE

Use the Pythagoras theorem to calculate BE

AE² + BE² = AB²

7² + BE² = 16²

16² - 7² = BE²

207 = BE²

√207 = BE

Since BE = CD

The length of CD is √207

Now use the Pythagoras theorem again

AD² + CD² = AC²

11² + (√207)² = AC²

121 + 207 = AC²

328 = AC²

√328 = AC

AC = 18.11

Answer:

Step-by-step explanation:

So in your account you got $175.29

Then you deposit mean increase the amount of money in your account by $48.75

So: 175.29+48.75 = 224.04

The price is $249.99

So: 249.99 - 224.04 = $25.95

You need to save $25.95 in order to buy your cell phone

To buy the cellphone of worth $249.99, additional $25.95 are required.

Calculate the answer using a math operator is referred to as a mathematical operation.

Basic mathematical operations are addition, multiplication, subtraction and division.

Given that,

The price of cellphone = $249.99

The amount in saving account = $175.29

Additional amount deposit in account = $48.75

Total amount in account after deposit = 175.29 + 48.75 = 224.04

Since, the price of cellphone is $249.99

And the amount in account = 224.04

So the more amount required = 249.99 - 224.04 = 25.95

To buy the cell phone $25.95 are required.

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The amount of money in sales that Nolvia needs to earn a salary that exceeds $40,000 is greater than or equal to $19,000.

Given that:-

Fixed salary of Nolvia = $21,000

Commission tax that Nolvia gets = 4 %

Linear equation of Nolvia's salary and commission tax = 21000 + 0.04x

Where,

s represents her salary

x represents total sales

We have to find the amount of money in sales that Nolvia needs to earn a salary that exceeds $40,000.

The amount of money in sales that Nolvia needs to earn a salary that exceeds $40,000 = 40000 - 21000 ≥ $ 19,000

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What is an associative property?

Given expressions with rearrangement as per associative property are:

(a) 7x+3+6x+11

  =(7x+6x)+(3+11)

(b) 12x+10+3+8x

  =(12x+8x)+10+3

(c) 10y+12-7y-8-3y

 =(10y-7y-3y)-(-12+8)

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The equation to represent the situation is given as $2h -$10 = 0

We have been given that

    Money earned by Shane for babysitting =  $8 per hour

    Money earned by Shane for walking dogs = $6 per hour

Let the number of hours spent by Shane be h hours

Tips she received for babysitting = $12

Tip she received for walking dogs = $10

Total amount earned by Shane for babysitting = $8*h + $12

Also Shane worked two more hours for walking dogs then the amount will be = 2*$6 = $12

Total amount earned by Shane for walking dogs = $6*h + $12 + $10

                                                                                  = $6h + $22

As she earned the same total amount of job the equation will be given as

  $8h + $12 = $6h + $22

  $2h -$10 = 0

Which is the required equation

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Answer:

12 1/2

1/6

Step-by-step explanation:

5/6 x 15/1

2/3 x 1/4

Answer:

[tex] \frac{3}{22} [/tex]

or 0, 14 rounded off to two dp

Answer:

is 0 is the right answer of this??

Answer:  The factored answer for 36c - 81 is 9(4c−9)

Step-by-step explanation:

Based on the question as posed, 9(4c-9) is the factored answer. It is not possible to derive a single whole number value based on this equation, though the factored result would be greater than 1 where c > 3.

Law of Detachment can't be applied here.

The Law of Detachment says that we must detach ourselves from the result or outcome in order to allow what we desire to materialize in the physical universe. When we have done our part, we must learn to let go of the outcome for things to materialize. And once we do let go, it's when things materialize.

Given:

If you can play the piano, then you can play a musical instrument.

kiyo can play a musical instrument.

So, as Kiyo can play a musical instrument, that does not necessary mean he can play a piano.

There could be any other musical instrumental, not only piano.

So, the hypothesis do not have to be true.

Hence, the condition is not fulfilled,  Law of Detachment can't be applied here.

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Answer:3/16

Step-by-step explanation:

Simplify 6/32 in Lowest Terms

6/32 = (?)

6/32 = (2 x 3)/(2 x 2 x 2 x 2 x 2)

= 3/16

6/32 = 3/16

The expression becomes 4 + 2*(14-3) to get the answer value of the 26.

According to the statement

We have to find that the parentheses of the given expression.

So, For this purpose, we know that the

Algebraic expression definition, a symbol or a combination of symbols used in algebra, containing one or more numbers, variables, and arithmetic operations.

From the given information:

The expression is :

4 + 2 * 14 – 3

Then rearrange it to get the answer value of 26.

For this use associative property

then

it will become and Written like this    

4 + 2*(14-3)

4 + 2*(14-3)  = 4 + 2*11

4 + 2*(14-3)  = 4 + 22

4 + 2*(14-3) = 26

So, The expression becomes 4 + 2*(14-3) to get the answer value of the 26.

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Answer:

7x-9

Step-by-step explanation:

P=x+(2x-4)+(4x-5)

P= x+2x-4+4x-5

P =x+6x-9

P =7x-9

P is perimeter