Here is a cuboid.
15 cm
4cm
10 cm
Work out the volume of the cuboid,​

Step-by-step explanation:

3n -2 =37

3n = 39

n = 13

hope this helps

Area of a Triangle = A = ½ (b × h) square units

Step-by-step explanation:

where B and C are the base and height of the triangle, respectively.

I take it as you want to learn about the formula.

The quadratic formula is a formula where you can solve x for any quadratic equation in form  ax^2+bx+c=0.

The formula is x= [tex]\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex].

The +- means + or - for the 2 solution in each equation.

*All above information is what you need to know about the quadratic formula and solve for answer, but I will go a step further in my answer to prove the quadratic formula always work.

[tex]0=ax^2+bx+c[/tex]

[tex]0=(ax+\frac{b}{2})^2-\frac{b^2}{4}+c[/tex] (This step is completing the square)

[tex](ax+\frac{b}{2})^2=\frac{b^2}{4}-c[/tex]

[tex](2ax+b)^2=b^2-4ac[/tex]

[tex]2ax+b=+or-\sqrt{b^2-4ac}[/tex]

[tex]2ax=-b+ or -\sqrt{b^2-4ac}[/tex]

[tex]x=\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex]

This is my way of proving this formula although there are many other ways to do it too, if there is any questions, feel free to ask me in the comment :-).

Answer:

if these expression represent side lengths, then you simply add those three expressions, and that's the perimeter.

Step-by-step explanation:

I explore this idea a bit. obviously x < 5 (because 5-x has to be positive.

2x-5 > 0 is a requirement, also, so x > 2.5 is required.

Answer:

You can get 10 chesse pizzas and then you can get 1 meat pizza.

Step-by-step explanation:

Sorry if that wasn't what you were looking for. Hope this helped!

Answer:

6 meat pizzas and 4 cheese pizzas = $56

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

At the end of the 2 week, both Mary and Ardella has an equal amount of saving i.e. $140.

Mary and Ardella are saving money for a trip. Mary started her savings with $20 and is now saving $12 each week. Ardella started her savings with $40 and is now saving $10 each week. After how many weeks will Mary and Ardella have saved the same amount of money To determine,

In mathematics, it deals with numbers of operations according to the statements.

Let the number of weeks is x and total saving is y.
Now equation for Mary started her savings with $20 and is now saving $12 each week.
y = 12x +20 - - - (1)

The equation for Ardella, started her savings with $40 and is now saving $10 each week.
y = 10x + 40   - - - - (2)

Equating equation 1 and 2
12x +20 = 10x +40
12x -10x = 40 -20
2x = 20
x = 20/2
x = 10

Now put this x in equation 1
y = 12 * 10 + 20
y = 140

Thus, at the end of the 2 week both Mary and Ardella has an equal amount of saving i.e. $140.

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Answer:

C. 39.6

good luck, i hope this helps :)

Answer:

2.4 minutes

Step-by-step explanation:

1 h/r = 60

60 percent * 4 =

(60:100)* 4 =

(60* 4):100 =

240:100 = 2.4

Answer:

[tex]x = 27[/tex]

Step-by-step explanation:

A shape exterior angles add up to 360.

All of these angles are exterior angles so we can add up all of them to and set it equal to 360 to find x.

[tex]3x + 4x + 2x + 40 + x + 50[/tex]

[tex]10x + 90 = 360[/tex]

[tex]10x = 270[/tex]

[tex]x = 27[/tex]

Answer:

Each red block has an area of     1/18     square unit.

2/3 * 5/6  = 2/3 * 5/6 = 10/18

Step-by-step explanation:

The area of each red rectangle block is 1/12 sq units.

A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees. Hence, it is also called an equiangular quadrilateral. Since, the opposite sides are equal and parallel, in rectangle, therefore, it can also be termed as a parallelogram.

Given that, there is rectangular box, in which there are 24 blocks,

The area of the rectangular box is 2 sq units,

We need to find the area of each block,

We can say,

24 blocks = 2 sq units

1 block = 2/24 = 1/12 units

Since, all the blocks inside the box are identical, therefore, each red block will also have area = 1/12 units

Hence, the area of each red rectangle block is 1/12 sq units.

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Answer:

Step-by-step explanation:

3x²y³·x⁴y = 3x²x⁴y³y = 3x²⁺⁴y³⁺¹ = 3x⁶y⁴

Answer:

$0.98

Step-by-step explanation:

Given data

Cost of sinuses apples = $9.8 for 10 pound

We want to find the cost per pound

Hence

if 10 pounds cost $9.8

  1 pound will cost x

cross multiply

x= 9.8/10

x= $0.98

Hence a pound will cost $0.98

Answer:

there is no batches but there is gallons

Step-by-step explanation:

Answer:

18 tablespoons of blue paint; 3 batches

Step-by-step explanation:

For 1 batch of paint, she uses 2 cups of white paint and 6 tablespoons of blue paint.

She needs to mix blue paint using 6 cups of white paint.

6 cups is 3 times 2 cups, so she will be making 3 batches.

She also needs to use 3 times the amount of blue paint that she would use for 1 batch.

Since she uses 6 tablespoons of blue paint in 1 batch, she needs to use 3 times as much blue paint.

3 * 6 tablespoons = 18 tablespoons.

Answer:

Answer:

C but see the discussion below.

Step-by-step explanation:

Remark

You are given 2 items and ask for a third. That is a classic trig question.

Givens

angle = 27

opposite side = 18

hypotenuse = ?

Solution

Sin(27) = opposite side / hypotenuse

Sin(27) = 18 / hypotenuse                         Multiply by the hypotenuse

hypotenuse * sin(27) = 18                         Divide by sin(27)

hypotenuse = 18 / sin(27)

hypotenuse = 18 / 0.45699

hypotenuse = 39.6484

Comment

This is a very difficult question to pick an answer for. Everything depends on what you have been told about 5 when rounding. I always use a very simple method. It the rounded number is a 5 then you bounce the answer up. Otherwise leave it alone.

I think the correct answer (according to my rule) is that the answer is C, but your teacher could actually use a rule which would round it up to 39.7. I'm going to answer C but if you get it wrong, then D is the answer.

Yes, I’ll help you out girl. :)

[tex] \frac{3}{5} ( - 48.5) = - 29.1[/tex]

Step by step explanation:

[tex] \frac{3}{5} ( - 48.5)[/tex]

So,

STEP 1:

Remove Parentheses:

[tex] - \frac{3}{5} \times 48.5[/tex]

STEP 2:

Multiply Fractions:

[tex] - \frac{ 3 \times 48.5}{5} [/tex]

STEP 3:

Multiply the Numbers:

[tex]3 \times 48.5 = 145.5[/tex]

Now, it becomes:

[tex] - \frac{145.5}{5} [/tex]

STEP 4:

Divide the Numbers:

[tex]145.5 \div 5 = 29.1[/tex]

So, it equals (-29.1).

I hope this helps!! :)

Answer:

[tex]y = 4.2x[/tex] is a linear equation.

Step-by-step explanation:

The slope-intercept form of the line or linear equation is of the form

[tex]y = mx+b[/tex]

where

[tex]m[/tex] represents the slope

represents is the y-intercept

In our case, the given equation is

[tex]y = 4.2x[/tex]

comparing with the slope-intercept form of the line or linear equation

[tex]y = mx+b[/tex]

Thus,

As the equation [tex]y = 4.2x[/tex] resembles the linear equation [tex]y = mx+b[/tex] of the line.

Hence, [tex]y = 4.2x[/tex] is a linear equation.

Please also check the attached graph of the linear equation  [tex]y = 4.2x[/tex] .

Important Tips:

∴ [tex]y = 4.2x[/tex] is a linear equation.

Answer: y = 11.25

Step-by-step explanation:

Mi espanol es terrible :l

Todos los angulos terminaran acompletando 90° grados

Entonces hagamos una ecuacion

3y + 4y + y = 90

8y = 90

Divide por 8

y = 11.25

Esta parte no es necesaria

Para ver si es verdad hagamos el math

3(11.25) = 33.75

4(11.25) = 45

y = 11.25

33.75 + 45 + 11.25 = 90

Answer: To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself. The inverse operations are: Addition and subtraction.

hope this helps

Answer: P = 2716.3448786 or about 2700

Step-by-step explanation:

The amount that need to invest, to the nearest hundred dollar is to be considered as the 2,700.

Since

The interest rate be like = 1.5% = 1.5% / 4 = 0.38%

The time period = 13 * 4 = 52

The future value = $3,300

The PMT is = $0

Now the following formula is used;

So,

= -PV(RATE,NPER,PMT,FV,TYPE)

After applying it, the present value should be $2,700

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Answer:

15/14

Step-by-step explanation:

I am assuming you meant. 3(x+1/2)

10x-6=3x+3/2

7x=3/2+12/2

7x=15/2

x=15/2*1/7

x=15/14

The value of x from the given equation is 15/14.

The given equation is 10x-6=3(x+1/2)

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved as follows

10x-6=3x+3/2

⇒ 10x-3x=3/2 +6

⇒ 7x = (3+12)/2

⇒ 7x = 15/2

⇒ x=15/14

Hence, the value of x from the given equation is 15/14.

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I Guess it is 11

Hope it helps

Answer:

b=a-6

Step-by-step explanation:

Answer:

Your Answer will be 129, not a fraction. It will be a whole number

Step-by-step explanation:

43 x 6 = 258

258 / 2 = 129

Answer: 85.8g

Step-by-step explanation:

From the question, we are informed that 46.8g of sugar is needed to make 6 cakes. Therefore, the amount of sugar needed to make 1 cake will be:

= 46.8/6

= 7.8kg

Then, the amount of sugar needed to make 11 cakes will be:

= 7.8 × 11

= 85.8g

Answer:

15 cups of red paint

Step-by-step explanation

Answer:

15 cups of paint

Step-by-step explanation:

Answer:

12 quarters and no dimes

Answer:

(6,6)

(8,10)

(12,0)

Answer:

C is the correct answer

Answer:  So the ratio is gonna be 5:3...

Step-by-step explanation: