Simplify the following expression. 5 - ⅘(2.5n - 2)

Answer:

The shape has a total area of 14.96cm²

Step-by-step explanation:

To solve this all you need to do is take the area of the outer rectangle, and subtract the area of the inner rectangle.

The outer rectangle is 5.6 by 6.4 cm.  To get its area, just multiply those dimensions. When you do so you get the area 35.84cm².

Next the inner rectangle needs to be subtracted.  First though, we need its width, which we're not directly given.

We do however know the width of the entire shape, and the width of segments left after cutting out the inner rectangle.  All we need to do then is subtract the later from the former to the the inner rectangle's width:

5.6cm - 1.2cm - 0.8cm = 3.6cm

Great!  The inner rectangle has an area of 3.6cm × 5.8cm.  That gives us 20.88cm².

The final step is to subtract that 20.88 square cm from the 35.84 that we already have.  Doing so gives us a result of 14.96cm², and that is the final answer.

Answer:

There is No real solutions.

Step-by-step explanation:

Answer:

C, D, A

Step-by-step explanation:

Distributive property

Combining like terms

Communitive property

Answer:

answer is B

Step-by-step explanation:

I am in high school and I learned this a month ago anyways

Answer: b

Step-by-step explanation: hope this helps

Answer:

Statements A, C and D are true

Step-by-step explanation:

True statements:

A.) ∠AZB and ∠BZD are a pair of supplementary angles.

C.) The value of x is 17.

D.) ∠AZC and ∠CZD are a pair of complementary angles.

Answer:

f = (k - 16) / (2k - 16)

k = (16f - 16) / (2f - 1)

Step-by-step explanation:

f(k-8) = 1/2(k-8)-4​

Solve for f:

Divide both sides by (k-8)

f = (k - 16) / (2k - 16)

Solve for k:

Subtract 1/2 * k from both sides.

fk - 8f - (1/2)k = -8

Add 8f to both sides.

fk - 1/2*k = k * (2f - 1)/2 = 8f -8

Divide both sides by (2f - 1)/2

k = (16f - 16) / (2f - 1)

Answer:

The answer is x = -5.

Step-by-step explanation:

1) Subtract 2x from both sides.

[tex]4x + 9 - 2x = - 1[/tex]

2) Simplify 4x + 9 - 2x to 2x + 9.

[tex]2x + 9 = - 1[/tex]

3) Subtract 9 from both sides.

[tex]2x = - 1 - 9[/tex]

4) Simplify - 1 - 9 to -10.

[tex]2x = - 10[/tex]

5) Divide both sides by 2.

[tex]x = - \frac{10}{2} [/tex]

6) Simplify 10/2 to 5.

[tex]x = - 5[/tex]

Therefor, the answer is x = -5.

Answer:

-2, -1

Step-by-step explanation:

Answer:

Step-by-step explanation:

14(2x+4)

14(2(x+2))

28(x+2) or

28x+56

Answer: 28x + 56 or 14(2x) + 14(4). (They are equivalent)

Step-by-step explanation:

Distribute 14 to both 2x and 4.

14(2x+4) = 14(2x) + 14(4)

=28x + 56

Answer:

0.07t+t

Step-by-step explanation:

The required new expression after increasing the price by 7% is 1.07t, where t is the original price.

The manager of a store increases the price of a popular product by 7%. let t be the original price of the product. The new price is t + 0.07t.
to find an expression equivalent to the new price.

Cost price is the price for the buyer pays to the seller for an object or product.

Here, let the whole proportion of the price of the product is t.
now price increased by 7% so 7/100*t = 0.07*t
The total increase in price  = t + 0.07t
                                    = 1.07 * t
So the new expression for the product after a 7% hike in price, 1.07t

Thus, the required new expression after increasing the price by 7% is 1.07t, where t is the original price.

Learn more about cost price here:

https://brainly.com/question/11027396

#SPJ5

Answer:

C. Commutative Property

Step-by-step explanation:

The commutative property of multiplication states that when two numbers are being multiplied, their order can be changed without affecting the product.

:)

Answer:

19 nickel = .95

5 dimes = .50

Step-by-step explanation:

.95 + .50 = 1.45

Answer:

14cm

Step-by-step explanation:

All side lengths in a cube will be 7 as the properties of a cube are such that all the side lengths are the same.

Think of the longest line in a cube as a hypotenuse on a triangle.

[tex]7^{2} + 7^{2} = c^{2}[/tex]

49 + 49 = [tex]c^{2}[/tex]

[tex]c^{2}[/tex] = 98

c = [tex]\sqrt{98}[/tex]

[tex](\sqrt{98})^{2} + (\sqrt{98} )^{2}[/tex] = [tex]c^{2}[/tex]

[tex]c^{2}[/tex] = 98 + 98

[tex]c^{2}[/tex] = 196

c = [tex]\sqrt{196}[/tex]

c = 14

The longest line in a cube that has a side length of 7cm is 14cm.

Answer:

Below in bold.

Step-by-step explanation:

As its direct variation the graph is a straight line and passes through the origin (0,0) and the slope (y/x) is a constant.

The  fraction (y/x) for any point will be a constant.

The fraction for (6, 4)  is 4/6 = 2/3.

So also on the line we have:

(-9, -6)  (because  -6/-9 = 2/3).

and (3, 2).

Answer:61

Step-by-step explanation:

it will last for five days

Answer:

70

Step-by-step explanation:

Using the similarity theorem;

AB/BC = AD/AB

x/7+3 = 7/x

x/10 = 7/x

x^2 = 70

x = √70

Hence the required value inside square root is 70

Answer:

36,579.5180

Step-by-step explanationan:

Correct Question:

Explain how you know that 88 is a solution to the equation 1/8x =11 by completing the sentences:

The word "solution" means . . .

88 is a solution to 1/8x=11 because . . .

Answer/Step-by-step explanation:

✔️The word solution means the value of the unknown variable, x. This means, when the value of x is substituted into the equation, the equation becomes balance as the value on the left equals the value on the right.

✔️88 is a solution to ⅛x = 11 because:

if we substitute x for 88 into the equation, both sides would be equal.

Thus:

⅛×88 = 11

11 = 11

Answer:

135 cm squared

Step-by-step explanation:

9x20 (for the big bottom rectangle) plus (14-9)x11 because you already found the area of the big rectangle.

Answer:

The answer is a = -15

Step-by-step explanation:

1/3a = -5

3 × 1/3a = 3 × (-5)

a = 3 × (-5)

a = -3 × 5

Answer is a = -15

Answer:

a = 15

Step-by-step explanation:

Just answer

Answer:

Slope = 5/3

Step-by-step explanation:

5x - 3y = 9

Write in slope y-intercept form: y = mx +b

-3y = -5x + 9

Divide the whole equation by (-3)

[tex]\frac{-3y}{-3}=\frac{-5x}{-3}+\frac{9}{-3}\\\\y =\frac{5}{3}x- 3[/tex]

Slope =5/3