All categories

2 years ago

Pleas help me for 20 points

Mathematics

1 answer:

Montano1993 [528]2 years ago

8 0

Answer:

240

Step-by-step explanation:

1 foot = 12 inches

4/3 feet = 16 inches

area = length × width

= 15 × 16

= 240 square inches

You might be interested in

35+7x=-3(-5-4x) what is the answer?

____ [38]

Answer:

-5x=-50

x=-10

Step-by-step explanation:

4 0

3 years ago

The admissions office of a private university released the following admission data for the preceding academic year: From a pool

lina2011 [118]

Answer: Our required probability is 0.1695.

Step-by-step explanation:

Since we have given that

Number of male applicants = 4200

Number of female applicants = 3800

So, total number of applicants = 4200+3800 = 8000

Probability of male entered and subsequently enrolled is given by

$0.4\times 0.4=0.16$

Probability of female entered and subsequently enrolled is given by

$0.4\times 0.45\\\\=0.18$

Number of male entered and subsequently enrolled is given by

$0.16\times 4200\\\\=672$

Number of female entered and subsequently enrolled is given by

$0.18\times 3800\\\\=684$

So, Probability that a student who applied for admission will be accepted by the university and subsequently will enroll is given by

$\dfrac{672+684}{8000}\\\\=\dfrac{1356}{8000}\\\\=0.1695$

Hence, our required probability is 0.1695.

3 0

2 years ago

Given that the quadratic equation has equal roots (k^2-1)x^2-2kx-3k-1=0

Alik [6]

Answer:

(See explanation for further details)

Step-by-step explanation:

The real expression is:

$(k^{2}-1)\cdot x{{2} - 2\cdot k \cdot x - 3\cdot k + 1 = 0$

The general equation for the second-order polynomial is:

$x = \frac{2\cdot k \pm \sqrt{4\cdot k^{2}-4\cdot (k^{2}-1)\cdot (-3\cdot k + 1)}}{k^{2}-1}$

This condition must be observed for the case of a quadratic equation with equal roots:

$4\cdot k^{2} - 4\cdot (k^{2}-1)\cdot (-3\cdot k + 1) = 0$

$k^{2} + (k^{2}-1)\cdot (3\cdot k + 1) = 0$

$k^{2} + 3\cdot k^{3} - 3\cdot k - k^{2}-1 = 0$

$3\cdot k^{3} - 3\cdot k - 1 = 0$

7 0

3 years ago

What was the balance immediately after the automatic payment on September 28?

DiKsa [7]

The answer is $922.67

4 0

2 years ago

Jamie bought 23 cases of soda for her party, each case contains a dozen cans her guest drank 223 cans of soda how many cases wer

arlik [135]

Answer:

19 cases and 53 sodas

Step-by-step explanation:

First we will see how many cans did Jamie bought. As he bought 23 cases and each case has 12 cans, the total amount of cans is:

23 * 12 = 276 cans

If 223 were drunk, for getting the number of cases used we just need to divide the number of cases drunk between the number of cans each case contains:

223 / 12 = 18.58

As our answer must be an integer number, as cases are integer, we use 19 because 19 cases were opened. Notice that if we chose 18, this would imply 18*12=216 cans, which is less than the 223 drunk. So, 19 cases were used, although the last case was not drunk completely.

For getting the sodas left over we just need to subtract the amount drunk to the total:

276 - 223 = 53 sodas were left over

8 0

3 years ago