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3 years ago

12

Robert is building a deck in his backyard. Each piece of wood measures 42.5 inches. If he has 86 boards,how long are they altoge

ther

1 answer:

BlackZzzverrR [31]3 years ago

4 0

You multiply 86 by 42.5 because each board is 42.5 and there are 86 boards.

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The remainder obtained when 3x^3 - 6x^2 + ax -1 is divided by x+1 is equal to the remainder obtained when the same expression is

telo118 [61]

Answer:

5a

Step-by-step explanation:

Solution

verified

Verified by Toppr

We have x

3

−ax

2

+6x−a

Apply remainder theorem

x−a=0

x=a

Put x=a in equation.

(a)

3

−a(a)

2

+6a−a

=a

3

−a

3

+6a−a

=6a−a

=5a

Then reminder is 5a

4 0

3 years ago

Three tanks are capable of holding 361,841, and 901 of the greatest vessel winch can be used to fill each one of them on exact n

daser333 [38]

Answer:

Tank which is capable of holding 1 can fill each one of the tanks an exact number of time.

Step-by-step explanation:

Three tanks are capable of holding $361,841,901$

To find which tank can be used to fill each one of them an exact number of time, find $HCF(361,841,901)$

$361=19^2\\841=29^2\\901=17(53)$

Therefore,

$HCF(361,841,901)=1$

So, tank which is capable of holding 1 can fill each one of the tanks an exact number of time.

6 0

3 years ago

Gennadij [26K]

Answer:

let x = the amount of orange juice in a full glass.

the glass is 1/6 full = 1/6 * x

add 95 cubic centimeters and the glass becomes 4/5 full.

equation for that is:

1/6 * x + 95 = 4/5 * x

subtract 1/6 * x from both sides of this equation to get:

95 = 4/5 * x - 1/6 * x

multiply 4/5 * 6/6 and multiply 1/6 * 5/5 and the equation becomes:

95 = 24/30 * x - 5/30 * x

combine like terms to get 95 = 19/30 * x

multiply both sides of the equation by 30/19 to get:

30/19 * 95 = 30/19 * 19/30 * x

simplify to get:

30/19 * 95 = x

solve for x to get x = 150.

the volume of the glass is 150 cubic centimeters.

1/6 * 150 = 25

4/5 * 150 = 120

the difference between 4/5 full and 1/6 full is 95 cubic centimeters.

solution is that the volume of the glass is 150 cubic centimeters.

Step-by-step explanation:

3 0

2 years ago

Drag expressions into order to show how to find 4 × 3/5.

san4es73 [151]

Answer/Explanation:

$4 * \frac{3}{5}\\\\= \frac{4}{1} *\frac{3}{5}\\\\= \frac{4*3}{1*5}\\\\= \frac{12}{5}$

Without the expressions given, answer by referencing these steps.

4 = 4/1

When multiplying fractions, multiply both numerators and both denominators to get the answer.

In the answer, you may simplify if there are common factors in both the top and bottom number. In this case, 12 and 5 do not have a common factor and is already in the most simplified form.

5 0

3 years ago

If f(x) = -8x – 6 and g(x) = x+8,<br> what is (fºg)(-7)?<br> Enter the correct answer.

Semmy [17]

9514 1404 393

Answer:

-14

Step-by-step explanation:

$(f\circ g)(x)=f(g(x))=f(x+8)=-8(x+8)-6\\\\(f\circ g)(x)=-8x-70\\\\(f\circ g)(-7)=-8(-7)-70=\boxed{-14}$

6 0

2 years ago