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2 years ago

How many numbers between 1 and 100 (inclusive) are divisible by 4 or 5

Mathematics

1 answer:

BaLLatris [955]2 years ago

6 0

Answer: 40 numbers

Step-by-step explanation:

For us to do this, we will have to group the numbers in groups of 20.

You should note that from 1 to 20, there are 5 numbers that are divisible by 4 which are 4, 8, 12, 16, 20.

Also, there are 5 "20s" that are in 100, therefore 5 X 5 = 25 numbers that are divisible by 4.

Likewise, there are also 4 numbers that are divisible by 5 which are 5 , 10 , 15 , 20.

There are also 5 "20s" in 100, thos will give 5 x 4 = 20 numbers that are divsible by 5.

However, we have to subtract the numbers that are divisible by both 4 and 5 in order to prevent double counting.

These are 20, 40, 60, 80 and 100.

Thereforee, we will have:

25 + 20 - 5 = 40 numbers that are divisible by 4 or 5 from 1-100.

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Find the area please don’t lie to me

astra-53 [7]

Answer:

Step-by-step explanation:

The formula of an area of a trapezoid:

$A=\dfrac{b_1+b_2}{2}\cdot h$

<em>b₁, b₂</em><em> - bases</em>

<em>h</em><em> - height</em>

From the picture we have

$b_1=19yd,\ b_2=5yd,\ h=9yd$

Substitute:

$A=\dfrac{19+5}{2}\cdot9=\dfrac{24}{2}\cdot9=12\cdot9=108\ yd^2$

3 0

3 years ago

Plz help don’t understand

saul85 [17]

Answer:

Step-by-step explanation:

every time x goes up 1, y goes up 4

x = 3 minus x = 2 is a delta (a change of 1)

x = 4 minus x = 3 is a delta (a change of 1)

x = 5 minus x = 4 is a delta (a change of 1)

the delta x is ALWAYS 1 for this table you can always substract x's to find the delta delta is symbolized by Δ Δx for the delta x

y = 7 minus y = 3 is a delta (a change of 4)

y = 11 minus y = 7 is a delta (a change of 4)

y = 15 minus y = 11 is a delta (a change of 4)

the delta y is ALWAYS 4 for this table you can always substract y's to find the delta delta is symbolized by Δ Δy for the delta y

the slope m = Δy / Δx m = 4 / 1 m = 4

y = mx + b when x = 0 then y = b (called the y intercept)

so how do we find the y intercept?

look at the pattern in the TABLE Δx and Δy

when x = 1 y = (3 - 4) = -1

x = 0 y =( -1 - 4) = -5

so y = 4x - 5 is a line equation for the data in this table

I believe there are other forms for linear equations

I chose the y-intercept form

use the point slope equation

(y - y1) = m(x - x1) where (x1, y1) are the coordinates of a point on

the line

when you know the slope of the line and a point on the line

as before

m = (y2 - y1) / (x2 - x1) from the table

= (7 - 3) / (3 - 2) still equals

= 4/1 = 4

pick a point on the line say x= 4 and y = 11 (4, 11)

(y - y1) = m(x - x1)

y - 11 = 4(x - 4) point slope form

solving point slope form for y

y - 11 = 4x - 16 add 11 to both sides

y = 4x - 5 back to the y-intercept form

7 0

3 years ago

Select all the correct answers. If the measure of angle 0 is 5(pi)/4, which statements are true?

elixir [45]

Finding the equivalent angle of $\theta$ , the correct statements are given as follows:

The Measure of the reference angle is 45.

$\cos{\theta} = \frac{\sqrt{2}{2}}$ .

$\tan{\theta} = 1$

$\sin{\theta} = \frac{\sqrt{2}{2}}$ .

<h3>What are equivalent angles?</h3>

Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.

In this problem, the given angle is as follows:

$\theta = \frac{5\pi}{4}$

It is on the third quadrant, as it is between pi and 1.5 pi, hence the equivalent on the first quadrant, also known as the reference angle, is given by:

$\frac{5\pi}{4} - \pi = \frac{5\pi}{4} - \frac{4\pi}{4} = \frac{\pi}{4}$

The angle of 45º has equal sine and cosine, and tangent of 1, hence the correct statements are:

The Measure of the reference angle is 45.

$\cos{\theta} = \frac{\sqrt{2}{2}}$ .

$\tan{\theta} = 1$

$\sin{\theta} = \frac{\sqrt{2}{2}}$ .

More can be learned about equivalent angles at brainly.com/question/24787111

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8 0

1 year ago

Use the rule for y= -6x +8 to find the output if the input is x=20

lisov135 [29]

Answer:

The output of the function y = -6x + 8 when the input is x = 20 is -112.

Step-by-step explanation:

y = -6x + 8

Input the value x = 20.

y = -6(20) + 8

Multiply -6 and 20.

y = -120 + 8

Add -120 and 8.

y = -112.

8 0

3 years ago

The trail of boeing is 63 2/3 feet how many inches tall is the trail

NemiM [27]

We know that

<span>63 2/3 feet----------------> (63*3+2)/3---------> 191/3 ft
</span>
1 ft-----------------> 12 in
191/3 ft----------------> X in
X=(191/3)*12------------> X=764 in

the answer is 764 in

5 0

3 years ago