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3 years ago

Find the smallest number such that the remainder is 3 when it is divided by 16,20 or 24.

Mathematics

1 answer:

schepotkina [342]3 years ago

4 0

Answer: 123

Step-by-step explanation:

Foe us to solve this, we have to find the lowest common multiple of 16, 20 and 24 first and then add 3 to the LCM. This goes thus:

Multiples of 16 = 16, 32, 48, 64, 80, 96, 112, 128, 144, 160

Multiples of 20 = 20, 40, 60, 80, 10, 120, 140, 160

Multiples of 24 = 24, 48, 72, 96, 120

Therefore, the Lowe's common multiple is 120.

We then add the remainder of 3 and this will give:

= 120 + 3

= 123

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Y+9÷2=y-3÷4-(y/3)<br>pls help

Ann [662]

Answer:

y = - $\frac{63}{4}$ or - 15.75

Step-by-step explanation:

Order of operations.

y + $\frac{9}{2}$ = y - $\frac{3}{4}$ - $\frac{y}{3}$ Subtract y from each side.

y - y + $\frac{9}{2}$ = y - y - $\frac{3}{4}$ - $\frac{y}{3}$

$\frac{9}{2}$ = - $\frac{3}{4}$ - $\frac{y}{3}$ Add $\frac{3}{4}$ to each side

$\frac{9}{2}$ + $\frac{3}{4}$ = - $\frac{3}{4}$ + $\frac{3}{4}$ - $\frac{y}{3}$

$\frac{9}{2}$ + $\frac{3}{4}$ = - $\frac{y}{3}$ Find the common denominator for $\frac{9}{2}$ and $\frac{3}{4}$ , which is 4

$\frac{9}{2}$ * $\frac{2}{2}$ + $\frac{3}{4}$ = - $\frac{y}{3}$

$\frac{18}{4}$ + $\frac{3}{4}$ = - $\frac{y}{3}$

$\frac{21}{4}$ = - $\frac{y}{3}$ Multiply each side by 3

$\frac{21}{4}$ * 3 = - $\frac{y}{3}$ * 3

$\frac{63}{4}$ = - y Divide each side by -1

y = - $\frac{63}{4}$ = - 15 $\frac{3}{4}$

y = - 15.75

3 0

3 years ago

Read 2 more answers

Write the equation of a line that has a slope of -4 and goes through (-2,7).

Anni [7]

Answer:

$y = -4x - 1$

Step-by-step explanation:

Equation of a line is given as:

y = mx + b

Where

m is the slope

and

b is the y-intercept (y-axis cutting point)

Since we know slope is -4, we can write:

y= mx + b

y = -4x+ b

Given the point (-2,7) , we can say:

x = -2

and

y = 7

Plugging these 2 values, we can solve for b:

y = -4x + b

7 = -4(-2) + b

7 = 8 + b

b = 7 - 8

b = -1

Now, we have the equation:

$y = -4x - 1$

7 0

3 years ago

What is 1 2/5 as a whole number need fast

elixir [45]

Do u mean a mixed number?

2 2/5

4 0

3 years ago

???????anyone know...

RUDIKE [14]

The answer is: " 60° " .
__________________________________________________________
" m∠A = 60° " .
__________________________________________________________
Explanation:
__________________________________________________________

Note: All triangles, by definition, have 3 (three) sides and 3 (three angles).

The triangle shown (in the "image attached") has three EQUAL side lengths. Therefore, the triangle shown is an "equilateral triangle" and has 3 (three) equal angles, as well.

All triangles by, definition, have 3 (three) angles that add up to "180° " .

Since each of the 3 (three) angles is equal; and the three angles are:

"∠A" , "∠B" , and "∠C" ;

We can find the measure of "∠A" ; denoted as: "m∠A" ; as follows:
______________________________________________________
m∠A = 180° ÷ 3 = 60° .
______________________________________________________
The answer is: " 60° " .
______________________________________________________
m∠A = " 60° " .
______________________________________________________

7 0

3 years ago

Which Venn diagram has shading that represents the union of set G and set I?<br> answer plslsls

Ad libitum [116K]

Answer:

B or the second diagram

Step-by-step explanation:

<u>The sets as per diagrams are as follows</u>

1. Intersection of G and I
2. Combination of G and I
3. Combination of G and I excluding H
4. Combination of G and I excluding common region

7 0

2 years ago

Find the smallest number such that the remainder is 3 when it is divided by 16,20 or 24.​

Find the smallest number such that the remainder is 3 when it is divided by 16,20 or 24.