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3 years ago

Please help

Mathematics

2 answers:

lys-0071 [83]3 years ago

8 0

Answer:

D.Negative 12 squared +11st minus 2t squared

Step-by-step explanation:

We are given that

(-3s+2t)(4s-t)

We have to find the value of product.

$(-3x+2t)(4s-t)$

Multiply each term of first bracket with second bracket

$-3s(4s-t)+2t(4s-t)$

Now, after multiplying we get

$-12s^2+3st+8st-2t^2$

Combine like terms then, we get

$-12s^2+11st-2t^2$

Hence,the product

$(-3x+2t)(4s-t)=-12s^2+11st-2t^2$

Option D is true.

maxonik [38]3 years ago

7 0

Answer:

D. -12s squared + 11st - 2t squared

Step-by-step explanation:

FOIL:

-3s(4s) - 3s(-t) + 2t(4s) + 2t(-t)

- 12s² + 3st + 8st - 2t²

Simplify.

- 12s² + 11st - 2t²

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Misha Larkins [42]

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4 years ago

11 / 16 = p + 4 / 12

butalik [34]

Answer:

p = 17/48 or 0.354

Step-by-step explanation:

11/16 = p + 4/12

subtract 4/12 from both sides

11/16 - 4/12 = p

convert so you have a common denominator

3(11/16) - 4(4/12)

33/48 - 16/48

= 17/48

p = 0.354

8 0

3 years ago

Solve x - 3 1/8 = 5/12

Anna007 [38]

Answer:

$\large\boxed{x=\dfrac{85}{24}=3\dfrac{13}{24}}$

Step-by-step explanation:

Convert the mixed number to the fraction:

$3\dfrac{1}{8}=\dfrac{3\cdot8+1}{8}=\dfrac{25}{8}$

METHOD 1:

$x-3\dfrac{1}{8}=\dfrac{5}{12}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\\\\\text{the common denominator is 24}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\qquad\text{multiply both sides by 24}\\\\24x-(3)(25)=(2)(5)\\\\24x-75=10\qquad\text{add 75 to both sides}\\\\24x=85\qquad\text{divide both sides by 24}\\\\\boxed{x=\dfrac{85}{24}}$

METHOD 2:

$x-3\dfrac{1}{8}=\dfrac{5}{12}\qquad\text{add}\ 3\dfrac{1}{8}\ \text{to oboth sides}\\\\x=\dfrac{5}{12}+3\dfrac{1}{8}\\\\x=\dfrac{5\cdot2}{12\cdot2}+3\dfrac{1\cdot3}{8\cdot3}\\\\x=\dfrac{10}{24}+3\dfrac{3}{24}\\\\x=3\dfrac{10+3}{24}\\\\\boxed{x=3\dfrac{13}{24}}$

7 0

4 years ago

The average of eight numbers is 56. When one of the numbers was left out, the mean decreased to 54. What number was left out?

lozanna [386]

Step-by-step explanation:

Given the average of 8 numbers = 56.

Then the Total sum of 8 numbers = 56 * 8

= 448.

Sum of 1st three numbers = 49 + 57 + 72

= 178.

So, the total = 448 - 178

= 270.

Average of the other 5 numbers = 270/5

= 54.

Verification:

178 + 270 = 448/8

= 56.

5 0

2 years ago

The product of these slopes is ______.This product shows that the slopes are negative reciprocals. It is given that the lines ar

Arturiano [62]

Answer:

- 1

Step-by-step explanation:

Let the slope of one line be 's' , then according to the given condition that the slope of second line is negative reciprocal of the first , We obtain the slope of the second line as $\frac{-1}{s}$ .

So, the product of both the slopes is given by $s\cdot \frac{-1}{s}=-1$

This shows that whatever the slopes may be if they are negative reciprocal of each other then their product will always be -1

6 0

3 years ago