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Answer:

(45 - 25) / 2 × (2 + 3)

Step-by-step explanation:

Given:

45 - 25/2 × 2 + 3

By trials:

(45 - 25) / (2 × 2) + 3

= 20/4 + 3

= 20/7

Another trial:

(45 - 25)/2 × (2 + 3)

= 20/2 × 5

= 20/10

= 2

The parentheses should be inserted like this

(45 - 25) / 2 × (2 + 3)

Answer:

Step-by-step explanation:

7*(7 + x+1) = 6*(x + 5 + 6)       {Intersecting secant theorem}

7 *(x + 8) = 6*(x + 11)

Distributive property,

7x + 56   = 6x + 66

Subtract 56 from both sides

7x = 6x + 66 - 56

7x = 6x + 10

Subtract 6x from both sides

7x - 6x = 10

x = 10

Answer:

$7, 657

Step-by-step explanation:

Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the loan is then subtracted from the resulting value.

Step-by-step explanation:

the answer is in the image above

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Answer:

About 5× more

Step-by-step explanation:

9,460,800÷1,861,440=

5.0825167612

Answer:

Step-by-step explanation:

First we estimate their value,

9,460,800 = 9,000,000 (estimate.)

1,861,440 = 2,000,000 (estimate.)

Then,

9,000,000 ÷ 2,000,000 = 4.5

When estimated,

4.5 = 5 (Ans)

Answer:

a) 81-6

b) 10.4

Step-by-step explanation:

a) assuming that the VAT is 20% of the 68 pounds,

you calculate 120% of 68 (convert percentage to decimal)

= 1,20 * 68 = 81.6 pounds

or

calculate 20% of 68 pounds and add the answer to 68 pounds:

(0.2 * 68) + 68 = 81.6 pounds

b) 20% of 52

first convert the percentage to decimals:

0.2 * 52 = 10.4 pounds

Answer:

[tex] \frac{2}{5} [/tex]

Step-by-step explanation:

[tex]2({5}^{2}) \div 5(100 - 5(15))[/tex]

[tex]50 \div 25 \times 5[/tex]

[tex]50 \div 125[/tex]

[tex]2 \div 5[/tex]

Answer:

A

Step-by-step explanation:

From the first row, you can see the number of circles increase as you move from left to right therefore the same principle was applied for the row below it.

Answer:

-6

Step-by-step explanation:

A parabola is vertex form is written as

y = a(x-h)^2 +k  where (h,k) is the vertex

Substituting in the vertex

y = a(x-5)^2 +5

We know a point on the parabola so we can find a

-1 = a( 6-5)^2 +5

-1 =a(1)^2+5

-1 = a +5

Subtract 5 from each side

-1-5 = a

-6 =a

Answer:

Volume of cylinder

= π r² h

OAmalOHopeO

Answer:

The volume of the cylinder would be approximately 392.5 ft^3

Step-by-step explanation:

Just like the volume formulas for a cuboid, the formula for a cylinder is: Vol = (Circle Area)(Height). Since we already have the height value, let's move onto the circle area.

The formula for the area of a circle is: πr^2. The problem only gave us the value for the diameter (10), so to get the radius value, we just need to divide the diameter by 2, and we get a value of 5 ft as our radius. Next, we just need to square root it. So 5 x 5 = 25. Then, we multiply it by π. Because the problem is asking for an approximate answer, we can just assume that π is 3.14. And that gets us a value of 78.5 ft^2 for the area of the circle.

Finally, we just need to multiply the area and the height of the cylinder. So 78.5 x 5 is approx. 392.5 ft^3. Since we don't need to round to the nearest tenths place, we can just leave it alone.

Since I didn't use the exact value of π, the real answer may be a little off of what we got, but if you want to extra precise, you can go ahead and use the actual value of π.

Step-by-step explanation:

x = ??

y = 72 + 40 = 112

x =112 - 180

x = 180-112

x = 68

or = 180 - 72 = 108

180 - 40 = 140

140 - 108 = 32

Answer:

Absolute value.

Step-by-step explanation:

We have the expression:

[tex]\displaystyle \sqrt{s^2}[/tex]

The square root and the square will cancel. This yields:

[tex]=|s|[/tex]

We need the absolute value because any value squared is positive. The square root of a positive value will also be positive.

In other words, if we only simplified the expression down to s without the absolute value, if s was originally negative, our simplification will have also been negative.

For instance, say s = -7, then:

[tex]\displaystyle \sqrt{(-7)^2}=\sqrt{49}=7[/tex]

However, if we let √s² = s, then s = -7. By having the absolute value, we have that |s| = |-7| = 7, which is the correct statement.

Answer:

16x^11

Step-by-step explanation:

2x^3 x 8x^8

= 2 x 8 ( x^8 x x^3 )

= 16 ( x ^8 + 3 )

= 16x^11

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{2x^3\times8x^8}\\\textsf{There arent any like terms so we \underline{do not} have to compare them together}\\\mathsf{= \mathsf{2\times8 \rightarrow \bf 16}}\\\mathsf{= 3+8\rightarrow\bf 11}\\\mathsf{= 16\times x^{11}}\\\mathsf{= \bf 16x^{11}}\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf 16x}\mathsf{\bf ^{11}}}}\huge\checkmark\\\\\\\large\textsf{Good luck on your assignment and your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]

Answer:

around 82.75

Step-by-step explanation:

Answer:

(2,0)

Step-by-step explanation:

   2 (x + 2y) = (2)

      2x + 4y = 4

-    2x + 5y = 4

-1y = 0

y = 0

2x + 5(0) = 4

2x = 4

x = 2

Answer:

x=2 y=0

Step-by-step explanation:

solve for y

x+2y=2

x=2-2y

2(2-2y)+5y

4-4y+5y=4

4+y=4

y=0

plug into equation

2x+5(0)=4

x=2

and

x+2(0)=2

x=2

Answer:

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]

[tex]\frac{b^{4}}{b^{-3}}=b^{4-(-3)}=b^{4+3}=b^{7}[/tex]

Answer:

7

Step-by-step explanation:

Answer:

C) x^2 + 3x

Step-by-step explanation:

The equation that could be solved to find the value of the smaller number, x is x^2  + 3x = 550

The numbers are given as: x and x + 3

The product of these numbers is 550.

So, we have:

x * (x + 3) = 550

Expand

x^2  + 3x = 550

Hence, the equation that could be solved to find the value of the smaller number, x is x^2  + 3x = 550

Read more about quadratic equations at:

https://brainly.com/question/1214333

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____________

Step-by-step explanation:

So:

⅔ × π.r² = 2.π.r

3 = πr²/πr

3 = r

r = 3

#mathisfun

Answer:

c

Step-by-step explanation:

because 11x + 17 = 3x

Given:

The length of a string in yards is a function f(n) of the length n in inches

To find:

The function rule for the given situation.

Solution:

We know that,

12 inches = 1 yard

1 inch = [tex]\dfrac{1}{12}[/tex] yard

n inches = [tex]\dfrac{n}{12}[/tex] yards

It is given that the length of a string in yards is a function f(n) of the length n in inches. So,

[tex]f(n)=\dfrac{n}{12}[/tex]

Therefore, the required function for the given situation is [tex]f(n)=\dfrac{n}{12}[/tex].

Answer:

1/1679616

Step-by-step explanation:

Answer:

Step-by-step explanation:

6^-3/6^5 = 6^-8 = 5.95 x 10^-7

Step-by-step explanation:

The product of 5 and x subtracted from the sum of y and 3 :

Product of 5 and x :

[tex]5 \times x = 5x[/tex]

Sum of y and 3 :

[tex]y + 3[/tex]

The product of 5 and x subtracted from the sum of y and 3 :

[tex](y + 3) - (5x)[/tex]

Answer:

y+3  - 5x

Step-by-step explanation:

the product of 5 and x

5x

the sum of y and 3

y+3

Subtract 5x from (y+3)

y+3  - 5x

Answer:

p=9

r=18

Step-by-step explanation:

Answer:

y = 2x+6

Step-by-step explanation:

y = 2x + 5

This line is in slope intercept form  y = mx+b where m is the slope and b is the y intercept

The slope is 2.  Parallel lines have the same slope

y = 2x+b

Using the given point and substituting it into the equation

2 = 2(-2) +b

2 =-4+b

Add 4 to each side

2+4 = -4+b+4

6 = b

y = 2x+6

Answer:

[tex]3 \frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{\frac{5}{2} }{36} = \frac{x}{48}[/tex]

36x = 5/2 * 48

36x = 120

[tex]x = 3 \frac{1}{3}[/tex]

The amount of sugar needed for 8 cookies will be equal to [tex]3\frac{1}{3}[/tex] cups.

It is given that a recipe of sugar cookies needed [tex]2\frac{1}{2}[/tex] cups of sugar for 36 cookies.

We have to find out the amount of sugar needed for 48 cookies.

What is the unitary method?

The unitary method is a method in which we find the value of a unit and then the value of the required number of units.

As per the question ;

Sugar required for 36 cookies = [tex]2\frac{1}{2}[/tex] cups

Sugar required for 1 cookies

=  [tex]2\frac{1}{2}[/tex] ÷ 36 cups

= [tex]\frac{5}{2}[/tex] ÷ 36

= [tex]\frac{5}{2}[/tex] × [tex]\frac{1}{36}[/tex]

So , the sugar required for 48 cookies will be equal to ;

= [tex]\frac{5}{2}[/tex] × [tex]\frac{1}{36}[/tex] × 48

= [tex]\frac{240}{72}[/tex]

= [tex]\frac{10}{3}[/tex]

or

[tex]3\frac{1}{3}[/tex] cups

Thus , the sugar needed for 8 cookies will be equal to [tex]3\frac{1}{3}[/tex] cups.

To learn more about unitary methods click here ;

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Answer:

54

Step-by-step explanation:

Surface area of a cube = 6a²

Where,

a = edge = 3

Surface area of a cube = 6a²

= 6 * (3)²

= 6 * (3 * 3)

= 6 * 9

= 54

Therefore,

The Surface area of the cube = 54

Answer:

0.054

Step-by-step explanation:

We have the general binomial probability calculation as;

n C r * p^r * (1-p)^(n-r)

Where 1-p = 1-1/6 = 5/6

So we have ;

6 C 3 * (1/6)^3 * (5/6)^3

= 0.054