Which three length combinations below cannot be the side lengths of a triangle?

Find the value of the variable if P is between J & K. JP = 2x ; PK = 7x ; JK = 27

Nana76 [90]

J ---- P --- K

JP = 2x
PK = 7x
JK = 27

2x + 7x = 27
9x = 27
x = 27/9
x = 3

The value of P is 3.

JP = 2x = 2(3) = 6
PK = 7x = 7(3) = 21

7 0

2 years ago

In Daniel’s fifth grade class, 37.5% of the 24 students walk to school. One-third of the walkers got a ride to school today from

Alexeev081 [22]

The percentage of walkers who got a ride is 37.5/3=12.5%
The number of that is 0.125*24=3 students.

5 0

3 years ago

Uma rede de supermercados fornece a seus clientes um cartão de crédito cuja identificação é formada por 3 letras distintas (dent

Vitek1552 [10]

Answer:

The correct option is (A) 33,600.

Step-by-step explanation:

The question is:

A supermarket chain provides its customers with a credit card whose identification is formed by 3 different letters (among 26), followed by 4 different digits. A given city will receive cards with L as the third letter, the last number is zero and the penultimate is 1. The total number of distinct cards offered by such supermarket chain for that city is A) 33600 B) 37800 C) 43200 D ) 58500 E) 67600

Solution:

The general format of the credit cards provided by a supermarket chain is as follows:

X X X # # # #

Here, X represents letters and # represents numbers.

All the three letters have to different and all the four numbers have to different, i.e. no repetition allowed.

It is provided that a given city will receive cards with L as the third letter, the last number is zero and the penultimate is 1.

Then the general format of this cities credit cards is as follows:

X X L # # 1 0

Now there are two spaces left for letters and 2 for numbers.

As there are no repetition allowed the two letter spaces can be filled by:

Number of ways to select 2 letters = 25 × 24 = 600

And the number of ways to select two numbers when there is no repetition allowed is:

Number of ways to select 2 numbers = 8 × 7 = 56

Compute the total number credit cards available at the supermarket as follows:

Total number credit cards = 600 × 56 = 33600

Thus, the total number of distinct cards offered by such supermarket chain for that city is 33,600.

The correct option is (A).

3 0

2 years ago

HELP PLS!! Which of the following numbers is part of the solution for the inequality-8>-4t+5?

Alekssandra [29.7K]

I believe the answer would be C. u subtract the 5 from both sides and divide by the -4 and flip the inequality. it has to be greater than than 13/4.

8 0

3 years ago

Reduce to simplest form. -\dfrac{7}{8}-\left(-\dfrac{5}{6}\right)=− 8 7 −(− 6 5 )=minus, start fraction, 7, divided by, 8, e

slavikrds [6]

Answer:

$-\dfrac{1}{24}$

Step-by-step explanation:

We are required to reduce the expression below to its simplest form

$-\dfrac{7}{8}-\left(-\dfrac{5}{6}\right)$

STEP 1: Remove the brackets

Take note that the product of same sign(- and -) will give you the addition sign.

$-\dfrac{7}{8}-\left(-\dfrac{5}{6}\right)=-\dfrac{7}{8}+\dfrac{5}{6}$

STEP 2: Find the Lowest Common Multiple of 8 and 6

Lowest Common Multiple of 8 and 6 is 24

STEP 3: Use the LCM to Simplify

$-\dfrac{7}{8}+\dfrac{5}{6}=\dfrac{(-3X7)+(5X4)}{24}\\=\dfrac{-21+20}{24}\\=\dfrac{-1}{24}\\=-\dfrac{1}{24}$

Therefore:

$-\dfrac{7}{8}-\left(-\dfrac{5}{6}\right)=-\dfrac{1}{24}$

7 0

2 years ago

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