Wayne and Mack have
9 cats. Mack has twice
as many as Wayne.
How many cats does
Mack have?

The values of x = -6 and y = 6 satisfy both the equations; therefore, (-6, 6) is the solution. The correct option is a)

From the question, we are to determine the solution of the given system of equations

The given system of equations are

2 x + 3 y = 6 -------  (1)

x + 3 y = 12   ------- (2)

From equation (2)

x + 3y = 12

Then, we can write that

x = 12 - 3y ---------   (3)

Substitute this into equation (1)

2x + 3y = 6

2(12 -3y) + 3y = 6

24 - 6y + 3y = 6

24 -3y = 6

24 - 6 = 3y

18 = 3y

∴ y = 18/3

y = 6

Substitute the value of y into equation (3) to get the value of x

x = 12 - 3y

x = 12 -3(6)

x = 12 - 18

x = -6

∴ x= -6 and y = 6 ; Thus, (-6, 6) is a solution

Hence, the values of x = -6 and y = 6 satisfy both the equations; therefore, (-6, 6) is the solution. The correct option is a)

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Photosynthesis is the process by which plants use sunlight, water, and carbon dioxide to create oxygen and energy in the form of sugar.

[tex]\pink{ \rule{1pt}{90000000pt}}\color{blue}{ \rule{1pt}{90000000pt}}\color{yellow}{ \rule{1pt}{90000000pt}}\purple{ \rule{1pt}{90000000pt}} \green{\rule{1pt}{90000000pt}}

[/tex]

Answer:

3(x + 4) = 3(x) + 3(4)
3(x + 4) = 3x + 12
3x + 12 = 3x + 12

Subtract 12 from both sides
3x + 12 - 12 = 3x + 12 - 12

3x = 3x
3x - 3x = 3x - 3x
= 0

When asking the value of '9' ⇒ in another number

  ⇒ means that it asking for the name of the position of that number in

      the other number

Let's examine the name of the positions in the number:

  ⇒ look at the image attached

Based on the image:

 ⇒ 9 is the hundreds position of 2,448,901

Answer: hundreds

Hope that helps!

Answer:

Hundreds

Step-by-step explanation:

1=units

0=tens

9=hundreds

The term that could be put in the blank is x^2y^2

The polynomial is given as:

8x^3y^2 - ___ + 3xy^2 - 4y^3

From the above expression, we can see that each term has a decreasing power of x from x to 0.

The missing power of x in the expression is 2

So, the term that completes the expression must have x^2

Hence, the term that could be put in the blank is x^2y^2

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Answer:

its a

Step-by-step explanation:

Answer:

[tex]34\pi[/tex] cm

Step-by-step explanation:

[tex]\text{A circle's circumference is equal to 2r, where PC is the radius.}[/tex]

[tex]\text{A circle's radius is the line traced from the circle's center to its perimeter.}[/tex]

[tex]\text{According to the figure, the radius is determined by the line drawn from the center}[/tex]

[tex]\text{P to the circumference C, which is PC, i.e. PC = radius = 17cm.}[/tex]

[tex]\text{We may get the circumference of a circle by substituting the radius value into the}[/tex]

[tex]\text{formula;}[/tex]

[tex]\text{2 (circumference) (17)}[/tex]

[tex]\text{Circumference =}[/tex] [tex]34\pi(\text{In terms of} \pi )[/tex]

Answer:

34π cm

Step-by-step explanation:

Hello!

The circumference of a circle is found using the formula [tex]P = 2\pi r[/tex]

We have the radius, PC(17), so we can plug it into the formula to find the perimeter.

Since we are leaving it in terms of Pi, we don't have to further simplify it.

The perimeter is 34π cm.

The correct answer is option B which is -4.(-3)5x.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division

The expression will be solved as:-

E = ( 4 - ( -3 )) 5x

E = 4 (+3) ( 5x)

E = 12(5x)

E = 60x

Now we will check option B

E1 = -4(-3)5x

E1 = 12 (5x)

E1 = 60x

E  = E1

Therefore the correct answer is option B which is -4.(-3)5x.

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The whole number has one digit if and only if the whole number is less than 10.

Let p: The whole number has one digit.

Let q: The whole number is less than 10.

We have to determine the,

PVC

p^q

p-q

p q

An integer is colloquially defined as a number that can be written without a fractional component.

The whole number has one digit if and only if the whole number is less than 10.

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Using translation concepts, the function that represents g(x) is given by:

[tex]g(x) = -4\left(\frac{1}{2}\right)^x[/tex]

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Function f(x) is given by:

[tex]f(x) = 4\left(\frac{1}{2}\right)^x[/tex]

Function g(x) is a reflection of g(x) over the x-axis, that is, is is multiplied by -1, hence:

[tex]g(x) = -f(x) = -4\left(\frac{1}{2}\right)^x[/tex]

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Answer:

15 weeks

Step-by-step explanation:

For Barbie, keep subtracting 80 from 1,500 until you get to the lowest amount.

And for Ken, keep subtracting 20 from 600.

Once you are done, you will notice that both Barbie and Ken have $300 at 15 weeks. So your answer is 15.

Answer:

h(0.1) = 4.97

Step-by-step explanation:

See attached working :)

Remember that h(0.1) is the same as saying find what the equation is equal to when x = 0.1

Answer:

5

Step-by-step explanation:

This is a 3,4,5 triangle

and to prove that;

3^2 + 4^2 = 5^2

25 = 25 is a correct statement

Answer:

This equation has no solutions. So your answer is the last one!

Step-by-step explanation:

Answer:

The correct answer is D. none.

Answer:

First box ⇒ 3.6 x 10^-1

Second box ⇒ 3.1 x 10^6

Third box ⇒ 5.3 x 10^-6

Fourth box ⇒ 4.2 x 10^-1

Step-by-step explanation:

I used a calculator and solved it :)

Answer:

first square = 3.6 x [tex]10^{-1}[/tex]

Step-by-step explanation:

They are all multiplying so there is no need for parenthesis

(3.8 * 10³) * (9.4 * [tex]10^{-5}[/tex])

3.8 * 10³ * 9.4 * [tex]10^{-5}[/tex]
35.72 * [tex]10^{-2}[/tex]

35.72 =~ 36

Everytime you elevate a number, it's the same as...
3 * 10² = 100 * 3 = 300

0.3 * 10³ = 1000 * 0.3 = 300

so then...

36 *      [tex]10^{-2}[/tex] = 3.6 * [tex]10^{-1}[/tex]

The difference between 0.58 million and 36,475 is 543,525 the answer is 543,525.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have:

= 0.58 million - 36,475

As we know,

1 million = 1,000,000

0.58 million = 580,000

= 580,000 - 36,475

= 543,525

Thus, the difference between 0.58 million and 36,475 is 543,525 the answer is 543,525.

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5 days in march.

31 days in May

30 days in June

24 days through July

rate of 5% each day.

so about 90 days of interest daily.

So 5% of 20,000

5 percent *20000

= (5/100)*20000

= (5*20000)/100

= 100000/100 = 1000

So 1,000 a day

1,000 * 90

= 90,000

Answer:

-1/32

Step-by-step explanation:

1/4*1/8*1024 = 1024/32 = -32

Answer:

[tex]x > -1\\[/tex]

Step by step explanation:

[tex]~~~~~2(4x-3) > -3(3)+5x\\\\\implies 8x-6 > -9+5x\\\\\implies 8x > -9+6+5x\\\\\implies 8x > -3+5x\\\\\implies 8x -5x > -3\\\\\implies 3x > -3\\\\\implies x > -\dfrac 33\\\\\implies x > -1[/tex]

Step-by-step explanation:

try this option (see the attachment), all the correct answers are marked with colour.

Answer:

[tex]\frac{16}{3}[/tex] or [tex]5\frac{1}{3}[/tex]

Step-by-step explanation:

Given :

[tex]2\frac{1}{3} -\frac{1}{2} \div \frac{3}{4} + 3\frac{2}{3}[/tex]

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

Rewrite in improper fraction form :

[tex](\frac{6}{3} +\frac{1}{3}) -\frac{1}{2} \div \frac{3}{4} + (\frac{9}{3} +\frac{2}{3})[/tex]

[tex]\frac{7}{3} - \frac{1}{2} \div \frac{3}{4} + \frac{11}{3}[/tex]

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

Finding the common denominator :

⇒ 3 × 4

⇒ LCM = 12

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

Solving with 12 as LCM :

⇒ [tex]\frac{7\times 4}{3 \times4} - \frac{1\times6}{2\times6} \div \frac{3\times3}{4\times3} + \frac{11\times4}{3\times4}[/tex]

⇒ [tex]\frac{28}{12} - \frac{6}{12} \div \frac{9}{12} + \frac{44}{12}[/tex]

⇒ [tex]\frac{28}{12} - \frac{2}{3} + \frac{44}{12}[/tex] [Division takes place first]

⇒ [tex]\frac{28}{12} - \frac{8}{12} + \frac{44}{12}[/tex]

⇒ [tex]\frac{28}{12} + \frac{36}{12}[/tex]

⇒ [tex]\frac{64}{12}[/tex]

⇒ [tex]\frac{16}{3}[/tex] or [tex]5\frac{1}{3}[/tex]

The number of different three-digit numbers that can be set for the combination lock is 125

The digits are given as

Digit = 1, 2, 3, 4, 5

Each digit can be repeated on the number lock.

So, the individual digit of the lock can be any of the 5 digits.

So, we have:

Locks = 5 * 5 * 5

Evaluate

Locks = 125

Hence, the number of different three-digit numbers that can be set for the combination lock is 125

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Answer:

Look at the image below!!

Step-by-step explanation:

So the format is y=mx+b

In this case, 1/3x would be mx

By the way, B is the Y INTERCEPT

So the Y would be placed on 4,

Then the format would be y/x (1/3)

1 is y and 3 is x

So we go up 1 and 3 to the right!!

Which will lead us to the image ^^

Answer:

-8

Step-by-step explanation:

If 3x-4y=2, then for any number a we also have a(3x-4y)=a(2) by multiplication property of equality.

Therefore, for a=-4 we have -4(3x-4y)=-4(2) which means the value of -4(3x-4y) is -8.

The value of equation - 4 (3x - 4y) will be;

⇒ - 4 (3x - 4y) = - 8

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The true equation is,

⇒ 3x - 4y = 2

Now,

Since, The true equation is,

⇒ 3x - 4y = 2   .. (i)

Hence, The value of equation - 4 (3x - 4y) is,

⇒ - 4 (3x - 4y)

Substitute from (i), we get;

⇒ - 4 (3x - 4y) = - 4 × 2

                      = - 8

Thus, The value of equation - 4 (3x - 4y) = - 8

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The sample mean for the number of years worked is 14, and 73% of the employees in the sample worked for the company for at least 10 years.

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

The mean = (sum of service years) / employees in the sample worked

[tex](8+13+15+3+13+28+4+12+4+26+29+3+10+3+17+13+15+15+23+13+12+1+14+14+17+16+7+27+18+24) /30\\= (417 / 30)[/tex]

= 13.9 years

= 14 years

The percentage of employees who have worked for at least 10 years :

The number of employees with service years ≥ 10 years

= 22 employees

Total number of employees

Percentage (%) = (22 / 30)

                          = * 100%

                          = 0.7333 x 100%

                          = 73.33% = 73%

Therefore, The sample mean for the number of years worked is 14, and 73% of the employees in the sample worked for the company for at least 10 years.

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Answer:

-137

Step-by-step explanation:

The difference between two numbers can be found through subtraction.

-45 - 95 = -137.

Answer:

Step-by-step explanation:

Equations

Let the dimes be x

Let the quarters be y

x + y = 19                     (1)                   Multiply this equation by 0.1

0.1x + 0.25y = 3.10     (2)

0.1x + 0.1 y =    1.90     (3)                   Subtract 3 from 2

          0.15y  =  1.20                            Divide by 0.15

          0.15y/0.15 = 1.20/0.15

                 y = 8

x + y = 19

x + 8 = 19                                               Subtract 8 from both sides

x+8-8  = 19-8                                          Combine

x = 11

Answer

Carol has 8 quarters

She has 11 dimes