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ANTONII [103]
3 years ago
10

The ratio of the numerator and denominator of a rational number is 2 : 7 and

Mathematics
1 answer:
Nadya [2.5K]3 years ago
4 0

Answer:

6/21.

Step-by-step explanation:

let the rational number be 2x/7x.

2x + 4 / 7x - 2 = 10 /19

Cross multiply:

19(2x + 4) = 10(7x - 2)

38x + 76 = 70x - 20

96 = 70x - 38x

32x = 96

x = 3.

So the rational number is  2*3/ 7*3

= 6/21.

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Find the product 1/2x3/4.
Sauron [17]

Answer:

The product is 3/8

Step-by-step explanation:

When you multiply two fractions, first multiply the numbers on the top (numerators).

1 * 3 = 3

Then multiply the bottom numbers (denominators).

2 * 4 = 8

Now stick the first over the second.

3/8

7 0
3 years ago
Calculate the area of the shaded sector in the circle​
agasfer [191]

Answer:

Approximately, 6.283..

Step-by-step explanation:

First calculate the area of the whole circle

We have radius(r)=4 cm

Area of circle(a)=pir^2

=pi×(4)^2

=pi×16

=Approximately,50.265......

A cirlce has a total of 360 degrees

Therefore,we can conclude 360 degrees=50.265...

or,1 degree=50.265/360

1 degree=Approximately,0.139

Now,

Area for the shaded region = Area of 45 degree

=0.139×45=Approximately,6.283.....

Therefore,the area of the shaded region is approximately,6.283....

6 0
3 years ago
Kala takes classes at both Westside Community College and Pinewood Community College. At Westside, class fees are $98 per credit
masya89 [10]

Answer:

T=98W-115W+1840

Step-by-step explanation:

$98 per credit at Westside (W)

$115 per credit at Pinewood (P)

Expression 1 : 98W+115P=T

Expression 2 : W+P=16

Combined: if W=16-P

Total=98W+115(16-W)

T=98W-115W+1840

3 0
1 year ago
Suppose a 2011 Gallup poll revealed that 76% of Americans believe that high achieving students should be recruited to become tea
k0ka [10]

Answer:

95% Confidence interval:  (0.73,0.79)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1021

Percentage of Americans believe that high achieving students should be recruited to become teachers

\hat{p} = 76\% = 0.76

95% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96

Putting the values, we get:

0.76\pm 1.96(\sqrt{\dfrac{0.76(1-0.76)}{1021}})\\\\ = 0.76\pm 0.0261\\=(0.7339,0.7861)\\\approx (0.73,0.79)  

5 0
3 years ago
I don’t know the answer or how to do this, help!
makvit [3.9K]

Answer:

B.

Step-by-step explanation:

y = x^2 - x - 12

y = (x-4)×(x+3) that means x it either 4 or -3

y = x + 3

for x = 4 ➡ y = 3+4 ➡7

for x = -3 ➡ y = -3 + 3➡0

(the answer key is most probably faulty there's no way for y to be 0 in both scenarios)

6 0
2 years ago
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