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Answer:

The equation is : r + 2 = 7

Step-by-step explanation:

1+1+1+1+1+1+1 = r + 1 +1

7 = r + 2

R = 7-2

R = 5

The equation to represent the image is 2 + r = 7.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given is an image of the hanger which is in the balanced form.

Balanced form means that both sides are having the same amount.

That is, both sides of the hanger consist of some expressions which are equal to each other.

The left hand sides consists of 7 one's.

So the left hand sides is 7 × 1 = 7

Right hand side consists of 2 ones and an unknown value r.

So right hand side consists of 2 + r.

Both sides are equal.

The equation can be written as,

7 = 2 + r

2 + r = 7    [By commutative property]

Hence the equation is 2 + r = 7.

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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:

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.

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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

it will last for five days

Answer:

19 nickel = .95

5 dimes = .50

Step-by-step explanation:

.95 + .50 = 1.45

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:

-2, -1

Step-by-step explanation:

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:

36,579.5180

Step-by-step explanationan:

Answer:

There is No real solutions.

Step-by-step explanation:

Answer: b

Step-by-step explanation: hope this helps

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: 48

Step-by-step explanation:

plug in 4 for r and solve

Answer: [tex]A = 500(1.0125)^{100}[/tex]

Step-by-step explanation:

Compound interest

A = P(1 + r/n)^nt

A is the final amount (what we are solving for)

P is the initial principal balance (P=500)

r is the interest rate as a decimal (r=0.05)

t is the time (25 years)

n is the number of times it is compounded yearly (every three months so n=4)

A = 500(1 + 0.05/4)^4(25)

A = 500(1 + 0.0125)^4(25)

A = 500(1.0125)^4(25)

A = 500(1.0125)^100

all of them are the correct answer

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:

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:

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:

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

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:

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:

90 + 10 = 100 ;-;

Step-by-step explanation:

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