The circumference of my circle is 45 inches. What is the diameter

Whether using mental math to recognize the proximity of 12x49 to 12x50 or applying the distributive property, both methods yield the result 588 for the multiplication of 12 and 49.

Method 1: Using mental math:

Recognize that 12x50 = 600, a number that many people find easier to work with mentally.

Since 49 is one less than 50, 12x49 is essentially one group of 12 less than 12x50.

Therefore, simply subtract 12 from 600: 12x49 = 600 - 12 = 588.

Method 2: Using the distributive property:

Recall the distributive property: a(b + c) = ab + ac. In this case, a = 12, b = 50, and c = -1 (since 49 is 1 less than 50).

Apply the distributive property: 12(50 - 1) = 12 * 50 + 12 * (-1).

Simplify: 12x49 = 600 - 12 = 588.

Therefore, regardless of the method you choose, 12x50 serves as a stepping stone to calculating 12x49 by either providing a familiar reference point (600) or allowing you to leverage the distributive property.

There is an infinite number of such pairs. Even if you consider just the integers, there is still an infinite number of pairs. If you limit the number in the pairs to whole numbers, then here are the pairs:

0, 18

1, 17

2, 16

3, 15

4, 14

5, 13

6, 12

7, 11

8, 10

9, 9

The remainder when the polynomial f(x) = 3x³ - 4x² + 2x + 8 is divided by (x - 5) is constant an equal f(5).

Substitute x = 5 to the polynomial:

[tex]f(5)=3(5^3)-4(5^2)+2(5)+8=3(125)-4(25)+10+8\\\\=375-100+18=275+18=293[/tex]

Answer: (3x³ - 4x² + 2x + 8) : (x - 5) = q(x) + 293.

Answer:

A) 16

Step-by-step explanation:

g= green apple

c= cinnamon

s= spearmint

74=g+c+s

g=2s

g-6=c

so we can replace c in the equation

74=g+g-6+s (because c=g-6)

we can also replace g in the equation

2s+2s-6+s=74 (because g=2s)

so, 5s-6=74 (add 6 to both sides)

5s=80 (divide by 5)

s=16

Answer: Hello there!

Let's define G has the number of packs of green apple, S as the number of packs of spearmint, and C as the number of packs of cinnamon.

Now we want to know the number of spearmint gum packs that Janice buys:

We know that:

G + S + C = 74

G = 2S

G - C = 6

Now we have a system of 3 equations and 3 variables, let's solve it.

In the second equation we can remove G of the equations, and replace it in the first and third equation:

G + S + C = 74

2S + S + C = 74

3S + C = 74

and

G - C = 6

2S - C = 6

Now we only have two equations, lets isolate C in the second equation

2S - C = 6

C = 2S - 6

now we can replace it in the first equation, and solve it for S

3S + C = 74

3S + 2S - 6 = 74

5S = 74 + 6 = 80

S = 80/5 = 16

She buy's 16 packs of spearmint gum.

1.

g > 6.4

2.

y + 2 > 8     subtract 2 from both sides

y > 6

3.

6 > z(10 - z)

A. z = 0 → 6 > 0(10 - 0) → 6 > 0 CORRECT

B. z = 1 → 6 > 1(10 - 1) → 6 > 1(9) → 6 > 9 FALSE

C. z = 2 → 6 > 2(10 - 2) → 6 > 2(8) → 6 > 16 FALSE

D. z = 3 → 6 > 3(10 - 3) → 6 > 3(7) → 6 > 21  FALSE

4.

The list of factors of 24:

1, 24, 2, 12, 3, 8, 4, 6

Answer:

D) linear increasing

Step-by-step explanation:

This graph is a straight line.  This means it is a linear function.

As the values of x increase, the values of y increase as well.  This means it is an increasing function.

This makes it a linear increasing function.

Answer:

8.3 * 10 ^5

Step-by-step explanation:

830000

To change this to scientific notation, we move the decimal 5 places to the left.  The exponent will be positive 5 because we moved it to the left

8.3 * 10^ +5

8.3 * 10 ^5

Answer:

-2

Step-by-step explanation:

First, you have to find the slope.

Rise           1

-------   =   ------  = 1

Run            1            

So, the slope is 1.

Next, if you write the graph in the slope intercept from, then it will be,

y=mx+b

y=1x+-3

We already know that x is 1 So,

y=1(1)+-3

y=-2

So, the answer is -2! Hope this helps!!!

Answer:

When x = 1 ,  y = -2.

Step-by-step explanation:

I'm assuming you want the equation of this line.

The 2 points close together are (0, -3)  and (-1, -4).

Slope =  (y1-y2) / (x1 -x2)

= (-4-(-3)) / (-1 - 0)

=  -1 / -1 = 1

The  y-intercept is where y = -3.

The equation of a straight line is y = mx + c where m = the slope and c = the y-intercept, so the equation of this line is  y = 1x - 3

or y = x - 3 (the 1 may be omitted).

When x = 1, y = 1 - 3 = -2 (answer)

Answer:

x=2

Vertex (2,-8)

Intercepts: 2 ±2/3 sqrt(6)

Because the parabola opens upwards, it has a minimum at the vertex

Domain:  all real numbers

Range: y>= -8

Step-by-step explanation:

y= 3x^2 -12x+4

To find the axis of symmetry, we use the formula

h= -b/2a  where ax^2 +bx+c

h = -(-12)/2*3 = 12/6=2

The axis of symmetry is x=2

The x coordinate of the vertex is at the axis of symmetry. To find the y coordinate, substitute x into the equation

y= 3(2)^2 -12(2) +4

y = 3*4-24+4

  = 12-24+4

  = -8

The vertex is at (2,-8)

We can use the quadratic formula to find the x intercepts

x = -b ±sqrt(b^2-4ac)

    -----------------------

           2a

  =  12 ± sqrt(12^2 - 4*3*4)

  ---------------------------------

    2*3

=   12± sqrt(144-48)

 ----------------------

  6

= 12±sqrt(96)

---------------

6

=2 ±1/6 * 4sqrt(6)

= 2 ±2/3 sqrt(6)

Because the parabola opens upwards, it has a minimum at the vertex.

The domain is the values that x can take.

X can be all real numbers

The range is the values that y can take.  Since there is a minimum, y must be greater than that minimum

Range: y>= -8

Answer:

y>= -8

Step-by-step explanation:

Answer:

n

Step-by-step explanation:

The zeros of the function are the x-intercepts of the function. They can be real or imaginary. The most a polynomial can have is its degree. If the degree is n then there can be n amount.

Answer:

60 pumpkins

Step-by-step explanation:

Saturday, she sold 6*7 pumpkins. That's 42 pumpkins.

Sunday, she sold 6*3 pumpkins. That's 18 pumpkins.

42+18=60

Answer:

a

Step-by-step explanation:

no need

Answer:

I think that the answer is 50 because 100 divided by 2 equals 50

Step-by-step explanation:

Answer:

The answer is 200 words a minute

Step-by-step explanation:

1/2 of a minute = 30 seconds, 60 seconds are in a minute

60/30 = 2

100*2

200 words per minute

Answer: 6.27 or 6.3

Step-by-step explanation: 4 1/5 ÷ 2/3 can be changed to a multiplication problem by using the reciprocal of the second fraction: 3/2

Multiply 4 1/5 by 3/2 = 6.3

Answer:

I think that the answer is 63/10

Step-by-step explanation:

Answer:

x = z = 45°, y = 90°

Step-by-step explanation:

This is an isosceles triangle ( given 2 equal sides )

Hence x = z ( base angles )

z and 135° form a straight angle and are supplementary

z = 180° - 135° = 45°

hence x = z = 45°

the sum of the 3 angles in the triangle = 180°

To find y subtract the sum of x and z from 180

y = 180° - (45 + 45)° = 180° - 90° = 90°

Answer:

Z ÷ 5.5

Step-by-step explanation:

The correct expression to show how much was spent yesterday when z dollars were spent today and that amount is 5.5 * the spending of yesterday is z divided by 5.5.  The correct answer is option (D) z ÷ 5.5.

If you spent z dollars today and that amount is 5.5 * what you spent yesterday, to find out how much you spent yesterday, you would divide the amount spent today by 5.5. This is because the relationship between what was spent today (z dollars) and what was spent yesterday is multiplicative. Today’s spending (z) is equal to 5.5 * yesterday’s spending, so to find out what you spent yesterday, you would express it as z divided by 5.5.

Thus, the correct answer to the student's question is option (D) z ÷ 5.5.

Answer:

2

Step-by-step explanation:

Answer: 1+1 =2

Step-by-step explanation: If you add 1 plus another 1 you would just have to add and you will find 2.

Hello from MrBillDoesMath!

Answer:

#39 6.1 (approx)

$41  14.6 (approx)

Discussion:

# 39

From plane trigonometry

cos(69)  = x/17  or

x = 17 * cos(69)   = 6.1 (approx)

#41

sin(59) = x/17 or

x = 17 * sin(59) =  14.6 (approx)

Regards,  

MrB

Answer:

1/4 pages

Step-by-step explanation:

1/8 page in 1/2 minutes

X number of pages in 1 minute

Answer:

2/8

Step-by-step explanation:

Since 1/2 a minute is 1/8 of a page. One full minute would mean another 1/2, so that means we need another 1/8, and 1/8 + 1/8= 2/8

Answer:

D. S > $400,000

Step-by-step explanation:

His salary is base salary plus commission

salary = 24000 + .08 sales

He wants a salary of at least 56000

56000<= 24000 +.08 sales

Subtract 24000

56000-24000<= 24000-24000+.08*sales

32000<= .08 * sales

Divide each side by .08

32000/.08 <= .08/.08 * sales

400000<= sales

Answer:

Alright well solve for y by simplifying both sides of the equation then isolating the variable

Exact form: y = - 13/2

Decimal form: y = - 6.5 Hope this helps have a nice day :)

Step-by-step explanation:

[tex]\bf -5x+2\geqslant -48\implies -5x \geqslant -50\implies \stackrel{\textit{now, we're dividing by -5}}{\cfrac{-5x}{-5}\stackrel{\stackrel{\downarrow }{\frac{}{}}}{\leqslant}\cfrac{-50}{-5}}\implies x\leqslant 10[/tex]

Answer: D, Y, X

Step-by-step explanation:

The (salad, sandwich) coordinates are as follows:

A: (0, 10)

B: (1, 8)

C: (2, 6)

D: (3, 4)    MOST EQUAL AMOUNTS

E: (4, 2)

F: (5, 0)

X: (4, 8)    OUTSIDE OF THE PRODUCTION LINE

Y: (1, 3)     UNDER THE PRODUCTION LINE

Answer:

Step-by-step explanation:

Given is a graph showing the salads produced on x axis and sandwiches produced on y axis.

The straight line ABCDEF shows the points on the straight line and Y is below the line and X is above the line.

On the line there is no point where x=y exactly.

But approximately nearer at the point where x=3 and y =4 So (3,4) is the point where most equal number are produced

2) Y is below the line meaning that resources are not utilized effectively

3) X is not possible as it is beyond the firm's capacity level shown by line ABCDEF.

Answer:

x = 1/24

Step-by-step explanation:

Answer:

73.4

Step-by-step explanation:

When they ask for the nearest tenth you check the hundreth, it its 5 or ore than you increase the tenth

The number 74.362 would round down to 74.4

For Rounding some number to a specific value is making its value simpler mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of trimmed from the right in terms of exact digits.

We need to round  74.362 to the nearest tenth,

To round 74.362 to the nearest tenth, we need to look at the digit in the hundredth place, which is 2. Since 2 is less than 5, we round down and keep 4.

Therefore, rounding 74.362 to the nearest tenth gives us 74.4.

Learn more about rounding numbers  here:

brainly.com/question/1285054

#SPJ6

78.9 in word form is, seventy-eight and nine tenths!

Hope that helped!

Seventy eight point 9 billion, i'm assuming?

Hopefully i helped you, and sorry if i'm wrong at all :(

Answer:

13 Boxes with $41 left over

Step-by-step explanation:

$600/$43 = 13.9  (so she can buy 13 boxes of light fixtures)

$43 x 13 = $559

$600-$559=$41 left over

KBPS is larger than MBPS.

1 KBPS =  0.001 MBPS

kbps - kilobytes per second

Mbps - megabytes per second

M - mega is 10⁶ times more

k - kilo is 10³ times more

Therefore 1Mbps is bigger than 1kbps

The expression for [tex]\(b - a\) is \(0\)[/tex].

To find the expression for [tex]\(b - a\)[/tex], we can use the given equation [tex]\(a + b = 2a\)[/tex] and solve for [tex]\(b\).[/tex]

Starting with [tex]\(a + b = 2a\)[/tex], we can subtract [tex]\(a\)[/tex] from both sides to isolate [tex]\(b\):[/tex]

[tex]\[b = 2a - a\][/tex]

[tex]\[b = a\][/tex]

Now, we can substitute [tex]\(b = a\)[/tex] into the expression [tex]\(b - a\):[/tex]

b - a = a - a

b - a = 0

Therefore, the expression for [tex]\(b - a\) is \(0\)[/tex].

Answer:

explanation

Step-by-step explanation:

That is a line on a graph that intersects both points x=1 and y=11, and x=1 and y=-2.