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2 years ago

Find the greatest common factor 28 and 12 use the GCF to factor 28+12.

Mathematics

1 answer:

fgiga [73]2 years ago

5 0

Answer:

(a) 4

(b) 4 * (7+3)

Step-by-step explanation:

(a) Let's first start by prime factorizing (finding the prime factors) 28 and 12:

12: 2*2*3

28: 2*2*7

We can see here they both share a common factor of 2*2, which is 4, therefore the GCF is 4.

(b) Factor a 4 out from the equation:

$4*(\frac{28}{4}+\frac{12}{4})$

This gives us:

4 * (7+3)

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Please help

earnstyle [38]

Please consider the graph of the sphere.

We know that the volume of sphere is equal to $\frac{4}{3}\pi r^3$ , where r represents radius of sphere.

We can see that diameter of sphere is 30 inches. We know that radius is half the diameter, so radius of the given sphere would be half of 30 inches that is $\frac{30}{2}=15$ inches.

$V=\frac{4}{3}\pi r^3$

$V=\frac{4}{3}\pi (15\text{ in})^3$

$V=\frac{4}{3}\pi \times 3375\text{ in}^3$

$V=4\times 1125\pi \text{ in}^3$

$V=4500\pi \text{ in}^3$

Therefore, the volume of the given sphere is $4500\pi\text{ in}^3$ and option B is the correct choice.

8 0

3 years ago

100m In 9 3/5 seconds

Nostrana [21]

Answer:

Speed = 10.42 m/secs

Step-by-step explanation:

We have been given with:-

Distance = 100m

Time taken = 9 $\frac{3}{5}$ secs

1) First, we need to convert the mixed number 9 $\frac{3}{5}$ to an improper fraction.

<u>Method to convert a mixed number to an improper fraction</u>

<u> $a\frac{b}{c} = \frac{c*a+b}{c}$ </u>

Applying the above formula, we get

9 $\frac{3}{5}$ = $\frac{5*9+3}{5}$

= $\frac{45+3}{5}$

= $\frac{48}{5}$

2) Now we need to convert $\frac{48}{5}$ into a decimal by dividing 48 by 5.

We get time taken as 9.6 secs

3) We need to find the speed using the below formula:-

Speed = $\frac{Distance}{Time taken}$

Plugging the values of Distance and Time taken into the formula, we get

Speed = $\frac{100}{9.6}$

= 10.416 m/secs

4) Upon rounding it to the nearest hundredth, we get

Speed = 10.42 m/secs

4 0

3 years ago

What is the equivalent mixed number to 23/4

lora16 [44]

5 3/4
5 remainder 3
Is the mixed number

4 0

3 years ago

Read 2 more answers

1 of 5

miss Akunina [59]

Answer:

£15

Step-by-step explanation:

Angad : Nick = 5 : 1

Let

Nick share = x

Angad share = x + £60

Angad : Nick

5 : 1 = x + £60 : x

5/1 = x + 60 / x

Cross product

5 * x = 1 * x + 60

5x = x + 60

5x - x = 60

4x = 60

x = 60/4

x = 15

Nick get £15

8 0

2 years ago

I’m confused on this one

scoray [572]

The general form of slope-intercept form is y=mx+b

m stands for the slope
b stands for the y intercept

They are giving you m so you can replace m with -4/5 ⇒ y=-4/5x+b

Now you just need to find b. They also give you the point (0,-3). This means that when x is 0, y is equal to -3.

Lets go back to y=-4/5x+b and replace x with 0 and y with -3.
⇒ -3=(-4/5)(0) + b
⇒ -3= 0+b
⇒ -3=b
⇒ b=-3

Now that you have m and b, you can find your final answer in the form y=mx+b
⇒ y=-4/5x + (-3)
⇒ y= -4/5x - 3

6 0

3 years ago