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3 years ago

11

Simplify the expression: 8(c-5)

1 answer:

Dimas [21]3 years ago

7 0

Answer: 8+(-40)

Step-by-step explanation:

You’re using distributive property you would multiply 8 and c which equals 8 because c=1 and then you would multiply 8•(-5) which would be -40 so your answer would be 8+(-40)

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In the following table of values, the first differences are

ExtremeBDS [4]

Answer:

-7

Step-by-step explanation:

Given

$\begin{array}{ccc}x & {y} & {First\ difference} & {-2} & {34} & {}&{-1} & {27} & {} &{0} & {20} & {} & {1} & {13} & {} & {2} & {6} &{} \ \end{array}$

Required

The first difference

To do this, we simply calculate the difference between the consecutive y-values.

i.e.

$d = y_{n+1} - y_n$

So, we have:

$d = y_2 - y_1 = 27 - 34 = -7$

$d = y_3 - y_2 = 20 - 27 = -7$

$d = y_4 - y_3 = 13 - 20 = -7$

$d = y_5 - y_4 = 6-13 = -7$

<em>Hence, the first differences are -7 (all through)</em>

5 0

3 years ago

The volume of the cell phone is 75 cubic centimeters. Write and solve an equation to find the height of the cell phone. Round yo

prohojiy [21]

Answer:

Equation: $Height = \frac{75}{Area}$

Step-by-step explanation:

<em>The question is incomplete as the dimension of the phone was not given.</em>

<em>However, the following explanation will guide you</em>

Given

$Volume = 75\ in^3$

Required

Determine the Height

Volume is calculated as thus;

$Volume = Area * Height$

Substitute 75 for Volume

$75= Area * Height$

Divide through by Area

$Height = \frac{75}{Area}$

<em>The above represent the equation to solve for Height</em>

<em>To solve for height, we need the dimension of the phone or the area.</em>

Take for instance; the length and width of the phone is 5 by 5 inches;

The height would be:

$Height = \frac{75}{5 * 5}$

$Height = \frac{75}{25}$

$Height = 3\ inches$

5 0

2 years ago

Serena drank nine and six tenths ounces of juice yesterday.Four and seventy-five hundreths ounces of the juice were apple juice.

kicyunya [14]

Serena drank 9.6 oz of juice. If 4.75 oz were apple juice, then she drank 9.6-4.75=4.85 oz of orange juice.

8 0

3 years ago

Given the arithmetic sequence: u(1)= 124, u(2)= 117, u(3)= 110, u(4)=103,...

omeli [17]

We are given

arithmetic sequence: u(1)= 124, u(2)= 117, u(3)= 110, u(4)=103

so, first term is 124

u(1)= 124

now, we can find common difference

$d=u(2)-u(1)$

$d=117-124$

$d=-7$

now, we can find kth term

$u(k)=u(1)+(k-1)d$

now, we can plug values

and we get

$u(k)=124+(k-1)*-7$

$u(k)=124-7k+7$

$u(k)=131-7k$

u(k) must be negative

so,

$u(k)=131-7k$

$131-7k$

now, we can solve for k

$7k>131$

$k>18.714$

so, it's closest integer value is

$k=19$ ..............Answer

3 0

3 years ago

Which of the following is the correct expansion of (3x-y)2

GREYUIT [131]

6x-2y (I believe so)

4 0

2 years ago