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2 years ago

Find the smallest value of m such that the LCM of m and 34 is 374.

Mathematics

1 answer:

wlad13 [49]2 years ago

8 0

Answer:

<em>11</em>

first you use a number tree

34 374

/\ /\

2 17 2 187

11 17

express the numbers in prime factors

374=2×11×17

34 =2×17

in finding LCM you use the highest prime factors in this case the highest prime factors are 2, 11 and 17

So m factors are 2 and 11

which means m is 2×11=22

22 in its smallest form is 11

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Largest prime factor of 35

max2010maxim [7]

Factors of 35: 1, 5, 7, 35
Of those, only 5 and 7 are prime.

7>5
Final answer: 7

4 0

3 years ago

Help with my algebra homework

Maru [420]

Let's solve your equation step-by-step.

2x /5 + 3 = x/10 - 1

Step 1: Simplify both sides of the equation.

2x /5 + 3 = x/10 - 1

2/5x + 3 = 1/10x - 1

Step 2: Subtract 1/10x from both sides.

2/5x + 3 - 1/10x = 1/10x - 1 - 1/10x

3/10x + 3 = -1

Step 3: Subtract 3 from both sides.

3 /10x + 3 - 3 = -1 - 3

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2 years ago

-2 x (-7) = <br> 24 divided by (-3) =

juin [17]

Answer:

1) 14

2) -8

Step-by-step explanation:

-2 × (-7) = 14

24 ÷ (-3) = -8

5 0

3 years ago

How do I solve for the missing lengths?

Advocard [28]

Answer:

Part 4) $ER=3\ units$

Part 5) $DF=9\sqrt{10}\ units$

Part 6) $DE=30\ units$

Step-by-step explanation:

Part 4) Find ER

we know that

In the right triangle ERF

Applying the Pythagorean Theorem

$EF^2=ER^2+RF^2$

substitute the given values

$(3\sqrt{10})^2=ER^2+9^2$

solve for ER

$ER^2=(3\sqrt{10})^2-9^2$

$ER^2=90-81\\ER^2=9\\ER=3\ units$

Part 5) Find DF

we know that

In the right triangle DRF

Applying the Pythagorean Theorem

$DF^2=DR^2+RF^2$

substitute the given values

$DF^2=27^2+9^2$

$DF^2=810\\DF=\sqrt{810}\ units$

simplify

$DF=9\sqrt{10}\ units$

Part 6) Find DE

we know that

$DE=DR+RE$ ----> by segment addition postulate

we have

$DR=27\ units\\RE=ER=3\ units$

substitute

$DE=27+3=30\ units$

3 0

2 years ago

The following data points represent the number of snow days each school district in Mill County had last

stepladder [879]

Answer:

median number of snow days is 4

Step-by-step explanation:

Listed in order from least to greatest:

There are 9 numerals on this list. Because this count is odd, the median is simply the middle value, which here is 4. This is the median number of snow days.

4 0

2 years ago