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3 years ago

WALLAHI HELP ME PLEASE I BEG ANYONE THIS IS HARD

Mathematics

1 answer:

bonufazy [111]3 years ago

8 0

Answer:

D.(-3,-7)

Step-by-step explanation:

5x+8=-5x-22

5x+8+5x=-22

10x+8=-22

10x=-22-8

10x=-30

x=-30/10

x=-3

y=5x+8 x=-3

y=5(-3)+8

y=-7

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Find the number of distinct permutations of the letters in the word MATHEMATICS

Oksi-84 [34.3K]

Answer:

4989600

step by step explanation:

Step by step workout

step 1 Address the formula, input parameters and values

Formula:

nPr =n!

(n1! n2! . . . nk!)

Input Parameters & Values:

Total number of alphabets (n) & subsets (n1, n2, . . nk) in the word "MATHEMATICS"

n = 11

Subsets : M = 2; A = 2; T = 2; H = 1; E = 1; I = 1; C = 1; S = 1;

n1(M) = 2, n2(A) = 2, n3(T) = 2, n4(H) = 1, n5(E) = 1, n6(I) = 1, n7(C) = 1, n8(S) = 1

step 2 Apply the input parameter values in the nPr formula

=11!

(2! 2! 2! 1! 1! 1! 1! 1! )

=1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11

{(1 x 2) (1 x 2) (1 x 2) (1) (1) (1) (1) (1)}

=39916800

= 4989600

In 4989600 distinct ways, the letters of word "MATHEMATICS" can be arranged.

6 0

3 years ago

For every 10 cars in a parking lot there are 12 trucks. What is the ratio of cars to total vehicles in the parking lot?

Zinaida [17]

Answer:

12:10

Step-by-step explanation:

4 0

3 years ago

4/5x = -16

Sveta_85 [38]

<h2>Hello!</h2>

The answers are:

1 $x=-20$

2 $x=-9$

3 $x=-5$

4 $r=-2$

5 $x=-4.5$

To know the solution of the problems, we need to isolate each variable.

Remember that:

- If we have an equality: if the number is subtracting (negative sign), and if you need to move it to the other side of the equality, its sign changes to positive.

- If we have an equality: if the number is adding (positive sign), and if you need to move it to the other side of the equality, its sign changes to negative.

- If we have an equality: if the number is part of a product , and if you need to move it to the other side of the equality, the same number will be dividing the factors of the side. On the opposite, if the number is dividing, it will be multiplying on the other side of the equality.

So,

1 - Solving for "x"

$\frac{4}{5}x=-16\\x=\frac{-16}{\frac{4}{5} }=-16*\frac{5}{4}=-20\\x=-20$