This is very confusing

Multiply using the distributive property.

14 x − 14

Hope this helps you!

Answer:

14x-14

Step-by-step explanation:

2(7x-7)=14x-14

Answer:

Step-by-step explanation:

5yd(4yd)(9ft^2/yd^2)=180ft^2

The area of the rectangular floor is 180 square feet.

To find the area of the rectangular floor in square feet, we need to convert the dimensions from yards to feet and then multiply them.

Length of the floor = 5 yards

Width of the floor = 4 yards

To convert yards to feet, we know that 1 yard is equal to 3 feet.

Converting the length and width from yards to feet:

Length of the floor in feet = 5 yards * 3 feet/yard = 15 feet

Width of the floor in feet = 4 yards * 3 feet/yard = 12 feet

Now, we can calculate the area of the floor in square feet by multiplying the length and width:

Area of the floor = Length * Width = 15 feet * 12 feet = 180 square feet

Therefore, the area of the rectangular floor is 180 square feet.

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Answer:

Step-by-step explanation:

Average salary = ($65,000 + $72,000 + ... + 88,500 )/5 = $77,100

5% of $77,100 = $3,855

15 years * $3,855/year = $57,825

3/5

first we find gcf for both numinator and dinominator do the gcf is 15

next we divide both by15

then 45÷15=3 and 75 ÷15=5

so the answer is 3/5 or 3:5

Answer:

500+10+0

Step-by-step explanation:

Answer:

5.1 x 102 in scientific notation

Step-by-step explanation:

The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease. Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10bStep 1

step1: To find a, take the number and move a decimal place to the right one position.

Original Number: 510

New Number: 5.10

step 2: Now, to find b, count how many places to the right of the decimal.

New Number: 5 . 1 0

Decimal Count:   1 2

Step 3: Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 5.1 (Please notice any zeroes on the end have been removed)

b = 2

Now the whole thing:

5.1 x 102

Step 4:

Check your work:

102 = 100 x 5.1 = 510

Question:

A shop is having a sales all items are reduced by 25%. Work out the sale price of an item normally priced at £60?

Answer:

The new price is £45

Step-by-step explanation:

Given

[tex]Sales\ price = \pounds 60[/tex]

[tex]Rate = 25\%[/tex]

First, calculate the reduction

[tex]Reduction = Rate * Sales\ price[/tex]

[tex]Reduction = 25\% * \pounds 60[/tex]

[tex]Reduction = \pounds 15[/tex]

The new price is:

[tex]New = Sales\ price - Reduction[/tex]

[tex]New = \pounds 60 - \pounds 15[/tex]

[tex]New = \pounds 45[/tex]

Answer:

K = 2

Step-by-step explanation:

Rewriting the expression mathematically;

√(k+2)=2√(k-1)

square both sides

k+2=4(k-1)

k+2=4k-4

Collect like terms

2+4=4k-k

6=3k

Dibaide both sides by 3

3k/3 = 6/3

k = 2

Answer:

A

Step-by-step explanation:

This is because from the data we can tell its increasing 1.50$ per 5 goldfish.

1.50/5=.30

Answer:

formula

Step-by-step explanation:

9514 1404 393

Answer:

  11.8

Step-by-step explanation:

The number has no digits to the right of the tenths place, so the number is correctly rounded as is.

  11.8

Answer:

32°

Step-by-step explanation:

use this formula :

Now you want to get the angle be x, so the opposite side is 28 and hypotenuse is 53. Putting in the formula we get:

Sin(x) = 28/53

Sin(x)= 0.5283018868

So to find x just do Sin^-1

x = Sin^-1 (0.5283018868)

you get 31.8907918, ok so we just want the nearest degree and if we do that we get 32˚

if you put them into your calculator you will get 32˚ as your answer

if you click the image it will show you how to solve the equation. and give you the answer.

9514 1404 393

Answer:

Step-by-step explanation:

-1043°/360° ≈ -2.9

Adding 3×360° will give a co-terminal angle in the range 0-360°:

  -1043° +1080° = 37°

This co-terminal angle is in the first quadrant. It is also the reference angle.

Answer:

Angle 1

Step-by-step explanation:

corresponding angles are angles that are congruent and on the same side if that makes sense

Look at image for reference

Answer:

20 square feet

Step-by-step explanation:

Area of a triangle is half the area of a rectangle. (when they have the same length and width!)

To get the area it would be 10 *2 = 20

Answer:

They sold 78 Hot Dogs and 156 Sodas

Step-by-step explanation:

Hope this Helps

Answer:

6.5 cm

Step-by-step explanation:

0.5/0.25 = 2

13/2 = 6.5

Answer:

4

Step-by-step explanation:

hope the diagram helps haha

Answer:

x=0

Step-by-step explanation:

ima break it apart so it is easier to understand, going from left to right.

15(x-3)/5 you will distribute the 15 to the x and the -3

15x-45/5 you will divide 5 to both the 15x and the 45

3x-9 it will now be combined with the right side

now on the right side:

3(2x-3) you will distribute the 3 to the 2x and -3

6x-9 will now be combined with the left side

combining the left and right.

3x-9=6x-9 combine both 'x' es and constants

3x-6x=9-9 solve

-3x=0 divide

-3x=0 /-3 (all of it will be divided by 3 cuz what you do to one side, you gotta do to the other)

x=0

without distributive property

15(x-3)/5=3(2x-3) remove the parenthesis from the left side

3(x-3)=3(2x-3) distribute the 3 through the parenthesis on both sides

3x-9=6x-9 the rest is the same as in the combined section up above.

i hope this helps

The value of the equation 15 ( x - 3 ) / 5 = 3 ( 2x - 3 ) is x = 0

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now , the value of A is given by

15 ( x - 3 ) / 5 = 3 ( 2x - 3 )

By using the distributive property , we get

On opening the bracket , we get

( 15x - 45 ) / 5 = 6x - 9

Divide by 5 on LHS , we get

3x - 9 = 6x - 9

Subtracting 6x on both sides of the equation , we get

-3x - 9 = - 9

Adding 9 on both sides , we get

-3x = 0

x = 0

Now , without using distributive property , we get

The equation is

15 ( x - 3 ) / 5 = 3 ( 2x - 3 )

Divide by 5 on both sides , we get

3 ( x - 3 ) = 3 ( 2x - 3 )

Divide by 3 on both sides , we get

x - 3 = 2x - 3

Adding 3 on both sides of the equation , we get

x = 2x

Subtracting x on both sides , we get

x = 0

Hence , The value of the equation 15 ( x - 3 ) / 5 = 3 ( 2x - 3 ) is x = 0

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Answer:

no

Step-by-step explanation:

Answer: No

Step-by-step explanation: plz mark me brainliest. EF are 5 lengths away from each other and FG is 15 so no

[tex]x + 30 + 2x + 90 = 180[/tex]

[tex]3x + 120 = 180 \\ 3x = 180 - 120 \\ \: \: \: 3x = 60 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ x = \frac{60}{3} \: \: \: \: \: \: \: \: \: \: \: \\ x = 20 \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Answer:

x+30 + 2x + 90 = 180

3x + 120 = 180

3x = 60

x = 20

Step-by-step explanation:

there are 180 degrees in a triangle

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

Perhaps you want to solve for x the rational equation ...

  (2+5x)/(3x) = (7x -18 +2x)/(3x)

Multiplying by 3x and collecting terms, we have ...

  2 +5x = 9x -18

  20 = 4x . . . . . . add 18-5x to both sides

  5 = x . . . . . . . . divide both sides by 4

The solution is x=5.

Answer:

[tex]y^{-5}[/tex]

Step-by-step explanation:

The Exponent Quotient Rule states that if two terms of the same base are being divided by each other, then the simplified expression is the base to the first power subtracted by the second power. As an algebraic equation, that would be [tex]\frac{x^{a} }{x^{b} } =x^{a-b[/tex], where [tex]x[/tex] is the common base and [tex]a[/tex] and [tex]b[/tex] are the exponents.

In this case, [tex]x=y[/tex], [tex]a=2[/tex], and [tex]b=7[/tex], so we know that [tex]\frac{y^{2} }{y^{7} } =y^{2-7}=y^{-5}[/tex]. Hope this helps!

Answer:  The y-intercept would be -2

Step-by-step explanation:  To find a y-intercept you just need to find the point at which the line crosses the y axis (which is the vertical one.)  We know its -2 also because of the unit amount of the graph itself.  The 5 at the top of the y axis is at the 5th box which means that each vertical unit represents 1.  This is how I know my answer is correct.  I hope this answer has been of use to you and if you have further questions please do not hesitate to reach out :)

Answer:

20

Step-by-step explanation:

Answer:

(6 , 9)

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

46-4=42

Answer:

son is 14

Step-by-step explanation:

s = son's age

46 = 4 + 3s

42 = 3s

s = 14