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guajiro [1.7K]
3 years ago
13

What is the difference between 3/7 and 1/14

Mathematics
1 answer:
Elza [17]3 years ago
4 0
(3/7)-(1/14)=(6/14)-(1/14)=5/14

use LCD to get a like denominator, then just subtract
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPpppppp
Reptile [31]

Answer:

Step-by-step explanation:

= 7850/12

= 654.66

= 7850+654.66*2

= 9158.33

4 0
3 years ago
Factor completely<br> 486+108x+6x^2<br><br> Thank you!
viktelen [127]

Answer:

6(x + 9) (x + 9)

or

6 (x+9)^{2}

Step-by-step explanation:

468 + 108x + 6x^{2} \\6x^{2} +108x + 468

Greatest common factor of 6, 108, and 486:

6 x 1 = 6

6 x 18 = 108

6 x 81 = 486

GCF: 6

so:

6(x^{2} +18x +81)

x^{2} +18x + 81

factors to:

(x + 9) (x + 9)

because:

9 x 9 = 81

9 + 9 = 18

So:

It factors completely too:

6(x + 9) (x + 9)

or

6 (x+9)^{2}

6 0
3 years ago
5. GEOMETRY The volume of a rectangular pyramid is one third the product of the area of its base and its height. Find
tatuchka [14]

Answer:

x³ + 7x² + 15x + 9

Step-by-step explanation:

Given that the volume (V) of a rectangular pyramid is

V = \frac{1}{3} A h ( A is the area of base and h the height ), then

V = \frac{1}{3} (3x² + 12x + 9)(x + 3) ← factor out 3 from A

   = \frac{1}{3} × 3(x² + 4x + 3)(x + 3)

   = (x² + 4x + 3)(x + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x² (x + 3) + 4x(x + 3) + 3(x + 3) ← distribute parenthesis

= x³ + 3x² + 4x² + 12x + 3x + 9 ← collect like terms

= x³ + 7x² + 15x + 9

Thus the expression for the volume is

V = x³ + 7x² + 15x + 9

4 0
3 years ago
Ellie drives 22.5 miles in 45 minutes. If she drove three hours in total at the same rate, how far did she go?
Cloud [144]

Answer:

90

Step-by-step explanation:

3 hours = 180 mins

180 ÷ 45 = 4. so Ellie will drive 4x more miles in 3 hours.

22.5 × 4 = 90

8 0
3 years ago
A food safety guideline is that the mercury in fish should be below 1 part per million​ (ppm). Listed below are the amounts of m
nignag [31]

Answer:

Confidence Interval: (0.44,1.00)

Step-by-step explanation:

We are given the following data set:

0.60, 0.74, 0.09, 0.89, 1.31, 0.51, 0.94

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{:5.08}{7} = 0.725

Sum of squares of differences = 0.8809

S.D = \sqrt{\frac{0.8809}{6}} = 0.383

90% Confidence interval:  

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 6 and}~\alpha_{0.10} = \pm 1.943  

0.725 \pm 1.943(\frac{0.383}{\sqrt{7}} ) =0.725 \pm 0.2812 = (0.44,1.00)

No, it does not appear that there is too much mercury in tuna​ sushi.

5 0
4 years ago
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