1.A five - layer of cake weighs half a kilogram per layer.In each layer,the cake is decorated with icing which weighs 15g.3 candles which weighs 100g each is added.What is the total weight in kilogram of the fully decorated cake?​

Answer:

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form

y*x=k or y= k/x

in this problem we have that

the value of the constant K is equal to 8

so

pv=8

Solve for V

v=8/p

Find the value of V for p=4

substitute the value of P in the formula

v=8/4=2

therefore

the answer is

the value of V is equal to 2

Answer: 42 feet

Step-by-step explanation:

Let the length be x

Therefore, width = 2/3x

Area = Length × Width

Therefore, x × 2/3x = 1176

2/3x² = 1176

Divide both side by 2/3

x² = 1176 ÷ 2/3

x² = 1176 × 3/2

x² = 1764

x = ✓1764

x = 42

The length is 42 feet

Answer:

x = 2/3

Step-by-step explanation:

4x + 6 = 10x + 10

4x = 10x - 4

6x - 4

x = 2/3

Have a great day <3

The answer is,

y = -18, x = -8

AnswerAnswer:

420

Step-by-step explanation:

The volume of the prism is 840 units³ which is correct option (C).

The volume of the prism is defined as the measure of the space occupied within a prism . The prism is a three-dimensional shape that has base area, and height. The volume of a prism is equal to the product of base area and height of a prism.

The volume of the prism= B×H

Where, B is base area of prism, and H is height of prism.

Given that,

Length of  prism (L) = 12 centimeters

Width of prism(W) = 14 centimeters

Base area (rectangle) of prism = L × W

Base area (rectangle) of prism = 12 × 14

Base area (rectangle) of prism = 168 units²

Height of prism(H) = 5 units

The volume of the  prism =  B × H

Substitute the values in above formula,

The volume of the prism = 168×5

The volume of the prism = 840 units³

Hence, the volume of the prism is 840 units³.

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Answer:

D 36

Step-by-step explanation:

Answer:

D.36

Step-by-step explanation:

30            ?

---      x    ---

100         120

Multiply 30 times 120. You get 3600. Divide that by 100, and you get 36.

Step-by-step explanation:

We have

[tex](sc^2x-1)^2[/tex]

Which is the same as

[tex](sc^2x-1)(sc^2x-1)[/tex]

To expand this polynomial, we can use the FOIL method. Meaning that we multiply the Fronts, Outsides, Insides, and Lasts together and then add each of these products.

The two fronts are [tex]sc^2x[/tex] and [tex]sc^2x[/tex],

[tex](sc^2x )(sc^2x )=s^2c^4x^2[/tex]

The two Outsides are [tex]sc^2x[/tex] and [tex]-1[/tex],

[tex](sc^2x )(-1)=-sc^2x[/tex]

The two Insides are [tex]-1[/tex] and [tex]sc^2x[/tex],

[tex](-1)(sc^2x )=-sc^2x[/tex]

The two lasts are [tex]-1[/tex] and [tex]-1[/tex],

[tex](-1)(-1)=1[/tex]

Now we just need to add these together to get

[tex]s^2c^4x^2-sc^2x-sc^2x+1\\\\s^2c^4x^2-2sc^2x+1[/tex]

Answer:

[tex]cot^{4} x[/tex]

Step-by-step explanation:

Answer:

6 ft

Step-by-step explanation:

volume of cone πr^2 (h/3)

84π = πr^2 (7/3)

84π/(7/3) = r^2π

84/(7/3) = r^2

sqrt (84 /(7/3)) = r

6 = r

Answer: 10

Step-by-step explanation: 30/3=10

Answer:

10

Step-by-step explanation:

Take the total number of bagels and divide by the number of bagels per package to determine the number of packs

30/3 = 10

He will buy 10 packs

Answer:

option A is correct answer .

Step-by-step explanation:

a triangle cannot be formed with the sides 8,5 and 15.

5+8 = 13 is not greater than 15.

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Answer:

The answer would be the number 3

Answer:

A) equal

B) equal

C) equal

D) not equal

Step-by-step explanation:

The pairs of options (A), (B), and (C) of expressions came out to be equal.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations.

We want to determine if the expressions in each answer option have the same value

A. 36 divided by 3+3 and 2^2 + 2.

⇒ 36/(3+3) =36/6 =6

⇒ 2² + 2 = 4 + 2= 6.

Here, pair of expressions that came out to be equal

B. -(2/3)^2 and 4/9.

⇒ -(2/3)² = 4/9

Here, pair of expressions that came out to be equal

C. 8(-9) and - 12 - 60.

⇒ 8(-9) = -72

⇒  - 12 - 60 = -72

Here, pair of expressions that came out to be equal

D. 1+2/4 and 1 - 1/4.

⇒ 1+2/4 = 6/4

⇒ 1 - 1/4 = 3/4

Here, the pair of expressions came out to be not equal.

Thus, the pairs of options (A), (B), and (C) of expressions came out to be equal.

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Answer:

m3 = 103 degrees

m4 = 77 degrees

Step-by-step explanation:

comment if you want me to explain please :)

The interior angles of ∆AUL (or any triangle for that matter) sum to 180°, so

∠3 + 20° + 57° = 180°

===>   ∠3 = 103°

Angles ∠3 and ∠4 occur on the same ray LP, so they are supplementary to one another. In other words,

∠3 + ∠4 = 180°

so that

∠4 = 180° - 103° = 77°

Answer:

Answer is given

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Answer:

gc=5x,CF=8x

Step-by-step explanation:

because I had this question too

Answer:

Wmkwkqkw siwiq q wksos ww wkwlwkw wlw

Answer:

$840

Step-by-step explanation:

4000 x .07= 280

280 x 3 = 840

Answer:

y=16x ??

Step-by-step explanation:

Answer:

=11x+5

Step-by-step explanation:

Let's simplify step-by-step.

2x+3+9x+2

Combine Like Terms:

=2x+3+9x+2

=(2x+9x)+(3+2)

=11x+5

Answer:

=11x+5

Step-by-step explanation:

V=a×b×c

136/2=68in³

68in³=a×3in×3in

a=68/9

a=7.5in =x

Answer:

D) 7, 10, 9    

Step-by-step explanation:

C will not make a triangle at all

A & B aren't unique because at least one side was not specified

Answer:

x = 36 degrees

Step-by-step explanation:

We can use exterior angles theorem to find that 140 degrees is equal to x plus 104 degrees. We subtract 104 degrees on both sides and get that x is 36 degrees.

Answer:

117 degrees

Step-by-step explanation:

These two angles are the same

Answer:

D. Hope that helps!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

It is D because all fractions are rational numbers, and numbers with decimals can also be fractions, so its like multiplying a fraction with a fraction, It would still be a rational number.

Answer:

Jeffery walked 1.13 miles in total.

Step-by-step explanation:

1/3 and 4/5. To solve this problem, we need to find a common denomonator.

3 and 5

LCM = 15

1/3* 5/5

5/15

4/5 * 3/3

12/15

5/15 + 12/15 = 17/15

= 1.13