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2 years ago

Find the LCM of the numbers using prime factorizations 18,45

Mathematics

1 answer:

andriy [413]2 years ago

5 0

Answer:

Step-by-step explanation:

18:

18*1=18

18*2=36

18*3=54

18*4=72

18*5=90

18*6=108

45:

45*1=45

45*2=90

45*3=135

Therefore, 90 is the correct answer

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What is the volume of this figure?

Sav [38]

Answer:

90 cubic inches

Step-by-step explanation:

4 0

3 years ago

In triangle RST, angle R is a right angle. If TR = 6 and TS = 8, what is the length of RS

lisabon 2012 [21]

Answer:

RS = 2 $\sqrt{7}$

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

RS² + RT² = TS² , that is

RS² + 6² = 8²

RS² + 36 = 64 ( subtract 36 from both sides )

RS² = 28 ( take the square root of both sides )

RS = $\sqrt{28}$ = $\sqrt{4(7)}$ = 2 $\sqrt{7}$ ≈ 5.3 ( to 1 dec. place )

8 0

2 years ago

HELP ASAP<br><br><br>What is the ratio 25 to 65 written as a fraction in lowest terms?

alekssr [168]

The GCF (Greatest Common Factor) of 25 and 65 is 5. So, we can divide both numbers by 5.

25 / 5 = 5

65 / 5 = 13

Now, put it into a fraction.

5/13

This cannot be simplified any further.

Best of Luck!

5 0

2 years ago

.Mariam went to the store to buy some apples. The price per pound of the apples is $6 per pound and she has a coupon for $2.25 o

8_murik_8 [283]

Answer:

$15.75

$6p-$2.25

4 0

2 years ago

A research company desires to know the mean consumption of meat per week among people over age 40. A sample of 610 people over a

Papessa [141]

Answer: $(3.0,\ 3.2)$

Step-by-step explanation:

Confidence interval for population mean is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$ (1)

, where $\overline{x}$ = Sample mean

$z_{\alpha/2}$ = Critical z-value

$\sigma$ = Population standard deviation.

n= Sample size.

As per given , we have

n= 610

$\sigma=1.1$

$\overline{x}=3.1$

Significance level for 85% confidence : $\alpha=1-0.85=0.15$

By z-table critical two tailed z-value : $z_{\alpha/2}=z_{0.075}=1.44$

Put all values in (1) , we get

$3.1\pm 1.44\dfrac{1.1}{\sqrt{610}}$

$3.1\pm 1.44\dfrac{1.1}{24.698}$

$3.1\pm 0.064$

$=(3.1-0.064,\ 3.1+0.064)=(3.036,\ 3.164)\approx(3.0,\ 3.2)$

Hence, the 85% confidence interval for the mean consumption of meat among people over age 40. = $(3.0,\ 3.2)$

5 0

3 years ago