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3 years ago

Which of the following values does not satisfy the inequality-2x-6is less than or equal to 1 A)-4 B)-3 C)-2 D)-1

1 answer:

3 0

-2x - 6 < = 1
-2x < = 1 + 6
-2x < = 7...change the inequality sign when dividing by a negative number
x > = -7/2
x > = - 3.5

the one that does not satisfy the inequality is : -4...because it is less then -3.5

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Williiam lost 25% of his marble,gave 1/6 of the remainder to his.Brother and had 120 marbles left.How many marbles did he have a

bija089 [108]

Answer:

Number of marbles with Williams at the starting = 192

Step-by-step explanation:

Let total number of marbles with Williams = m

He lost marbles = 25% of the total number

= $\frac{25}{100}\times m$

= $\frac{m}{4}$

Remaining marbles with Williams = m - $\frac{m}{4}$

= $\frac{3m}{4}$

He gave marbles to his brother = $\frac{1}{6}$ th of the remaining marbles

= $\frac{1}{6}\times \frac{3m}{4}$

= $\frac{m}{8}$

Remaining marbles after giving marbles to his brother = 120

Therefore, $\frac{3m}{4}-\frac{m}{8}=120$

$\frac{6m}{8}-\frac{m}{8}=120$

$\frac{5m}{8}=120$

m = $\frac{120\times 8}{5}$

m = 192

Number of marbles with Williams at the starting = 192

5 0

3 years ago

We can use the right outside diagonal of the empty Lacsap's triangle as the coefficients of a polynomial: $$t^3 + 6t^2 + 12t + 8

Vanyuwa [196]

The given equation with t -1 is:
(t – 1)^3 + 6 (t – 1)^2 + 12 (t – 1) + 8

Expand each term before combining for easier visualization:
(t – 1)^3 = t^3 – 3 t^2 + 3t – 1
6 (t – 1)^2 = 6 t^2 – 12 t + 6
12 (t – 1) = 12 t - 12

Then substitute and combine:
-> t^3 – 3 t^2 + 3t – 1 + 6 t^2 – 12 t + 6 + 12 t – 12 + 8

t^3 + 3 t^2 + 3 t + 1 (ANSWER)

7 0

4 years ago

$32 earrings marked up 20% ,,, I need explanation on how to figure out??

Ludmilka [50]

32*1.2=38.4 (.2 is the 20%, and the 1 adds the percent to the original cost making it a mark up)

5 0

3 years ago

-3x+6y= -3 and -5+y=-23

Ira Lisetskai [31]

-5 +y = -23

add 5 to each side

y = -18

-3x+6y = -3

-3x + 6(-18) = -3

-3x -108 = -3

add108 to each side

-3x = 105

divide by -3

x = -35

x=-35

y= -18

5 0

3 years ago

Read 2 more answers

You purchase 65 shares of common stock at $32.50 per share. A few months later, you sell the shares for $39.95. No dividends

jenyasd209 [6]

Answer:

Again of 338.26

Step-by-step explanation:

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3 years ago