If a=(2x-5) and b=(2x+5),show that ab+25 -------- =x square 4​

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:

- 8

Step-by-step explanation:

Substitute x = - 1 into the expression , that is

8x³

= 8(- 1)³ = 8(- 1) = - 8

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

Step-by-step explanation:

the answer is in the image above

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Answer:

80%

Step-by-step explanation:

Change is (45-25)/25*100=(20/25)*100=80%

Answer:

1/1679616

Step-by-step explanation:

Answer:

Step-by-step explanation:

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

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:

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

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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:

[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:

0

Step-by-step explanation:

x + y = 3

y = 3

=> x + 3 = 3

=> x = 3 - 3

=> x = 0

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

Hi!

x² + 7x + 9 = 3

x² + 7x + 9 - 3 = 0

x² + 7x + 6 = 0

Answer:

x^2+7x+ 6 = 0

Step-by-step explanation:

x^2+7x+ 9 = 3

Subtract 3 from each side

x^2+7x+ 9-3 = 3-3

x^2+7x+ 6 = 0

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.

Answer:

Number of Books. Cost (dollars). 7 14. 8 16. 9 18. Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form...

Height of parallelogram =12cm

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:

p=9

r=18

Step-by-step explanation:

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:

1.

C. 5y -7 is an algebraic expression difference with two terms.

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:

around 82.75

Step-by-step explanation:

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:

c

Step-by-step explanation:

because 11x + 17 = 3x

Answer

Mandisa uses more balloon per animal.

Amira and Mandisa made the same amount of balloon animals.

Explanation

Mandisa uses 5 balloons per animal.

You can find this out by putting the difference between two of the y values (output, dependent variable, in this case balloons) over the difference between two of the x values (input, independent variable, in this case animals). Let's take 225 and 125 from the y value and 20 and 40 from the x value. Mandisa uses 225-125=100 balloons per 40-20=20 animals. Mandisa uses 5 balloons per animal. 5 is more than 4 (how many balloons Amira uses for each animal), so Mandisa uses more balloons per animal.

Amira and Mandisa made the same amount of balloon animals.

Now you can divide the number of balloons they had at the beginning by the number of balloons per animal to find out how many animals each person made. Amira started with 260 balloons and used 4 balloons for each animal. Amira made 260/4=65 animals.

If Mandisa used 100 balloons to make 20 animals, she would have had 225+100=325 balloons at the beginning. Mandisa made 325/5=65 animals.

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.

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