Christina wants to buy shirts that cost $17.00 each. If x represents the number of shirts Christina buys, which equation shows the amount of money (M) she will pay for the shirts?

Given:

(a) [tex]12a^2b^2c, 15a^3b^3c[/tex]

(b) [tex]2^3\cdot 3^2\cdot 7\cdot 11\text{ and }2^2\cdot 3^3\cdot 5\cdot 7[/tex]

To find:

The GCF.

Solution:

(a)

We have,

[tex]12a^2b^2c, 15a^3b^3c[/tex]

The factor forms are

[tex]12a^2b^2c=2\cdot 2\cdot 3\cdot a\cdot a\cdot b\cdot b\cdot c[/tex]

[tex]15a^3b^3c=3\cdot 5\cdot a\cdot a\cdot a\cdot b\cdot b\cdot b\cdot c[/tex]

Now,

[tex]GCF=3\cdot a\cdot a\cdot b\cdot b\cdot c[/tex]

[tex]GCF=3a^2b^2c[/tex]

Therefore, the GCF is [tex]3a^2b^2c[/tex].

(b)

We have,

[tex]2^3\cdot 3^2\cdot 7\cdot 11\text{ and }2^2\cdot 3^3\cdot 5\cdot 7[/tex]

GCF is the product of common prime factors with least power.

[tex]GCF=2^2\cdot 3^2\cdot 7[/tex]

Therefore, the GCF is [tex]2^2\cdot 3^2\cdot 7[/tex].

Answer:

Side PN=26

y=16

Step-by-step explanation:

I put a photo of my work. It’s easier to do that then to try and put it all in words

Get both 1/3 and 1/4 to the same denominator, with is 12, you also multiply the numerator the same you had to as the denominator.

The answer is 7/12

Answer:

30

Step-by-step explanation:

Multiples of 6 are 6,12,18,24,30.

Multiples of 10 are 10,20,30.

30 is the number they both have in common first. 30 is the LCM.

Hope this helps!

The least common multiple (LCM) of 6 and 10 is 20

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

6 and 10

The multiples of 6 are 6, 12, 18, 24, 30, 36, ...

The multiples of 10 are 10, 20, 30, 40, 50, 60,...

Now,

The least common multiple (LCM) of 6 and 10.

= 30

Thus,

30 is the LCM of 6 and 10.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Answer:

B) C/18 = PI

Step-by-step explanation:

C = PI * Diameter

C = PI * 2R

C = PI * 18

C/18 = (PI * 18)/18

C/18 = PI

Answer:

its b trust me ok dont worry I have you in my hands

Answer: THE ANSWER IS B.

Answer:

15

Step-by-step explanation:

To find the slope, we use the slope formula

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

    = ( 75-45)/( 5-3)

    = 30/2

    = 15

Answer:

[tex]F(x) = f \circ g[/tex]

[tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]

Step-by-step explanation:

Given

[tex]F(x) = x + 2[/tex]

Required

Express as

[tex]F(x) = f \circ g(x)[/tex]

In functions:

[tex]f \circ\ g(x) = f(g(x))[/tex]

So, we have:

[tex]f(g(x)) = x + 2[/tex]

g(x) can be set to x and f(x) to x + 2

Hence:

[tex]F(x) = f \circ g[/tex]

When: [tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]

Answer:

$200

Step-by-step explanation:

Here is the full question

You can upgrade lighting at your factory to LED bulbs that cost $6.95 each and last an average of 5 years. It costs $3 in labor to change a bulb. Over a 10-year period, about how much will it cost per year to install LED bulbs in 100 lamps and change the bulbs when they burn out?

in 10 years, the bulbs would be changed twice

Total cost incurred per bulb in 10 years = (6.95 +  $3) x 2 = $19.90

Since there are 100 bulbs, total cost incurred would be - $19.90 x 100 = $1990

Cost per year = $1990 /  (6.95 +  $3) = $200

Answer:

2 dollars on each

Step-by-step explanation:

2 times 11 equals 22

Answer:

Each song costed $2.00

Step-by-step explanation:

If all song downloads cost the same, then each song download costs...

22 / 11 = 2

There the cost per 1 download is $2.00

1. 5.25 + 8.95 = 14.20

2. 21.32 - 9.50 = 11.82

3. 24.50 × 5 = 122.5

4. 85.20 ÷ 4 = 21.3

Hope this helped! Please comment if you have any questions regarding how I got my answers. Stay safe.

Answer: The translation: is "a die with 6 faces numbered from 1 to 6 and thrown in a random way is desired to fall face up. What is the probability of obtaining the face with one of the desired values"

Answer:

15x^2−14xy−8y^2−x−y

Step-by-step explanation:

Combine like units.

Answer:

hope it helped

have a good day

Answer:

2 inches

Step-by-step explanation:

a=Lw

v=lwh

lw= 7

14/7=2

Answer:

x = 6

Step-by-step explanation:

If A, B and C lies on a straight line in order, then;

AB+BC = AC

x+12+2x-4 = 26

x+2x+12-4 =26

3x+8 = 26

3x = 26-8

3x = 18

x = 18/3

x = 6

Hence the value of x is 6

Answer:

E. HELLO

Step-by-step explanation:

Answer:

The distance between them is 277.84 m

Step-by-step explanation:

See comment for complete question.

Given

Boat A:

[tex]Speed = 24mph[/tex]

[tex]\angle A = 340^{\circ}[/tex]

Boat B:

[tex]Speed = 35mph[/tex]

[tex]\angle B = 200^{\circ}[/tex]

[tex]Time = 5hr[/tex]

First, we calculate the distance traveled by both boats in 5 hours

[tex]Distance= Speed * Time[/tex]

[tex]Boat\ A = 24mph * 5hr = 120m[/tex]

[tex]Boat\ B = 35mph * 5hr = 175m[/tex]

For more clarity, I'll make use of the attached image to represent the system.

From the attachment, we are to calculate distance C, but first we calculate the angle between them.

[tex]\theta = 340^{\circ} - 200^{\circ}[/tex]

[tex]\theta = 140^{\circ}[/tex]

C is then calculated using cosine law:

[tex]C^2 = A^2 + B^2 - 2BC\ Cos\theta[/tex]

This gives:

[tex]C^2 = 120^2 + 175^2 - 2*120*175\ Cos(140^{\circ})[/tex]

[tex]C^2 = 120^2 + 175^2 - 2*120*175*-0.7660[/tex]

[tex]C^2 = 14400 + 30625 + 32172[/tex]

[tex]C^2 = 77197[/tex]

Take square root of both sides:

[tex]C = \sqrt{77197[/tex]

[tex]C = 277.84[/tex]

The distance between them is 277.84 m

Answer:

15688

Step-by-step explanation:

Answer:

Total number of chips Caleb have = 8

Total number of chips Suzanne have = 30

Step-by-step explanation:

In Caleb case -

Three out of every four chips is blue

⇒ If Caleb has total chips = 4

Then Blue chips = 3

⇒White chips = 4 - 3 = 1

Now,

If Caleb have 6 blue chips

⇒3 Blue chips = 4 total chips

  1 Blue chip = [tex]\frac{4}{3}[/tex] total chips

⇒6 blue chips = [tex]\frac{4}{3}[/tex] ×6 = 4×2 = 8 total chips

∴ we get

Number of chips become = 8

In Suzanne case -

One out of every five chips are blue.

⇒ If Suzanne has total chips = 5

Then Blue chips = 1

⇒White chips = 5 - 1 = 4

Now,

If Suzanne have 6 blue chips

⇒1 Blue chips = 5 total chips

⇒6 blue chips = 5×6 = 30 total chips

∴ we get

Number of chips become = 30

Step-by-step explanation:

assuming A=90 degree and B =A

cos90=0 and sin90=1

Solution :

It is given that :

The car of Mike's can hold = [tex]$14 \frac{2}{5}$[/tex] g of gas.

                                            [tex]$=\frac{72}{5}$[/tex] g of gas

∴ [tex]$=\frac{1}{4} $[/tex] th of [tex]$\frac{72}{5}$[/tex] g of gas is  [tex]$=\frac{1}{4} \times \frac{72}{5}$[/tex]

                                          [tex]$=\frac{18}{5}$[/tex] g of gas

The average distance that the car can travel when the tank is full is = 20 mpg

∴ In  [tex]$\frac{72}{5}$[/tex] g of gas, the car travels = 20 mpg

   In 1 g of gas, the car travels = [tex]$20 \times \frac{5}{72} $[/tex] mpg

   So in  [tex]$\frac{18}{5}$[/tex] g of gas, the car travels = [tex]$20 \times \frac{5}{72} \times \frac{18}{5} $[/tex] mpg

                                                          = 5 mpg

Answer:

4x + 6

Step-by-step explanation:

If i remember correctly, two minuses make a positive, so -(-6) would turn into +6. I dont think that you can add a number with a variable to a regualar number so the answer is as simplified as it can get. If that one is wrong, try 10x. Hope this helps!

Solution:-

Given,

Ashanti earns=$50 an hour

Ashanti earns in 6 hours=?

Now,

Ashanti earns in 60 hours=$50×6

=$300

Therefore,Ashanti earns $300 in 6 hours.

Answer:

1 is A

2 is A

3 is none of the above

Step-by-step explanation:

Answer:

t = (A/p-1) r

Step-by-step explanation:

p = p (1+rt)

A/P = 1+rt

rt = A/P- 1

t = ( A/P- 1) r

Answer:

If 20 more soldiers join it would last 48 days

Step-by-step explanation:

if 80 soldiers need 84000 food for 60 days it means that in 60 days one soldier eats 84000/80= 1050 each

then 1050/60=17.5 meaning they need 17.5 food a day each,

adding 20 soldiers means 80+20= 100 soldiers

100*17.5=1750 food is eaten every day

84000/1750= 48 which means that 100 soldiers will eat 84000 in 48 days

Answer:

One box of granola bars costs $3.35.

Step-by-step explanation:

36.85/11=3.35

Answer:

11253.76

Step-by-step explanation:

We know that the formula for the volume of a cylinder is pi(r^2)(h) and we have both the radius (8 yards) and the height (56 yards) given to us. Given this, we can plug those numbers into the equation and do pi x (8)^2 x 56 which is simplified to 3.14 x 64 x 56, and when we solve this out we can get a final answer of 11253.76