30( 4p + 6c+ 12p + 40)

What property can be used to simplify the expressions

Answer:

the answer should be 39.56

Answer:

Rs. 1250

Step-by-step explanation:

The sweater is purchased at Rs. 1075

The discount is 14%

Let y represent the marked price of the sweater

y × 14% = 1075

y × (100-14)/100= 1075

y × 86/100= 1075

y ×0.86= 1075

0.86y= 1075

Divide both sides by the coefficient of y which is 0.86

0.86y/0.86 = 1075/0.86

y = 1250

Hence the marked price is Rs. 1250

Answer:

She will need to pay $320 for 24 appetizers.

Step-by-step explanation:

If there are 3 appetizers offered at around $40 and she is paying $320 for it, then she can pay up to 8 times in which she will have 24 appetizers at her wedding as a result.

Answer:

[tex]\%Increase = 118\%[/tex]

Step-by-step explanation:

Given

[tex]Initial\ Weight = 550g[/tex]

[tex]First\ Addition = 350g[/tex]

[tex]Second\ Addition = 300g[/tex]

Required

Determine the percentage increment

First, we have to calculate the new weight

[tex]New\ Weight = Initial\ Weight + First\ Addition + Second\ Addition[/tex]

[tex]New\ Weight = 550g + 350g + 300g[/tex]

[tex]New\ Weight = 1200[/tex]

The percentage increment is then calculated as:

[tex]\%Increase = \frac{New\ Weight - Initial\ Weight}{Initial\ Weight} * 100\%[/tex]

[tex]\%Increase = \frac{1200g - 550g}{550g} * 100\%[/tex]

[tex]\%Increase = \frac{650g}{550g} * 100\%[/tex]

[tex]\%Increase = \frac{650}{550} * 100\%[/tex]

[tex]\%Increase = 1.182* 100\%[/tex]

[tex]\%Increase = 118.2\%[/tex]

[tex]\%Increase = 118\%[/tex] -- Approximated

Hence, the percentage increment is approximately 118%

Answer:

Step-by-step explanation:

-5x - 4y = 2a                         4x - 5y = 2

-4y = 5x + 2a                        -5y = -4x + 2

y = (5x + 2a):(-4)                    y = (-4x + 2):(-5)

y = -⁵/₄x - ¹/₂a                           y = ⁴/₅x - ²/₅

m₁ = -⁵/₄,  b₁ = -¹/₂a                  m₂=⁴/₅,  b₂= -²/₅

               -⁵/₄ ≠ ⁴/₅

Different slopes means that two lines have one point of intercept (no mater what the b's are). That means that the system of linear equations has exactly one solution for any value of a.

Answer:

Answer is 4x - 15......

Answer:

4x-15

Step-by-step explanation:

4x-15 is the answer

Answer:

6.998 rounded to 7.00

Step-by-step explanation:

Answer:

$52.70

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

yes I can tell what it is

The value of x that will make the two triangles similar by the SSS similarity theorem is: C. 30.

According to the SSS similarity theorem, if all the three corresponding sides of two triangles are proportional or have the same ratio, then both triangles are similar.

If the two triangles are similar we would have:

75/50 = 45/x

Cross multiply and find x

x = (45 × 50)/75

x = 30

Thus, the value of x would be: C. 30.

Learn more about the SSS similarity theorem on:

https://brainly.com/question/4163594

#SPJ9

9514 1404 393

Answer:

  up: (-3, 5); down: (-3, -3); right: (1, -2); left: (-6, -2)

Step-by-step explanation:

As you know, the coordinates of a given point tell you the distance ...

  (right, up)

So, a displacement 7 units up adds 7 to the second coordinate value:

  A(-3, -2) ⇒ A'(-3, -2+7) = A'(-3, 5) . . . . 7 units up

Likewise, 1 unit down subtracts 1 unit from the second coordinate value:

  A(-3, -2) ⇒ A'(-3, -3) . . . . 1 unit down

__

Similarly, left-right changes affect only the first coordinate. Displacements right are added; displacements left are subtracted.

  A(-3, -2) ⇒ A'(-3+4, -2) = A'(1, -2) . . . . 4 units right

  A(-3, -2) ⇒ A'(-6, -2) . . . . 3 units left

Answer:

prove: DF-~EF- DF~EF ~~AD

Given:

Dimensions of Kendra's yard are 24.6 feet by 14.8 feet.

To find:

The area of her yard.

Solution:

Let as consider,

Length of yard = 24.6 ft

Width of yard = 14.8 ft

We know that,

Area of a rectangle = Length × Width

Using the above formula, we get the area of her yard.

[tex]Area=24.6\times 14.8[/tex]

[tex]Area=364.08[/tex]

Area of her yard is 364.08 ft² and without including the units ft², we get 364.08.

Therefore, the area of her yard is 364.08.

Answer:

see explanation

Step-by-step explanation:

Since it is a balance then both sides are the same, that is equal.

The 4 weights represented by circles can be written as 4w, then

4w = 25 ← equation representing the situation

Divide both sides by 4 to find w

w = 25 ÷ 4 = 6.25 ← the weight of 1 circle

Answer:

Here is how to isolate the variable h.

Step-by-step explanation:

First, you have to isolate the variable which in this equation is "h." So you're going to add 2 to each side, which will give you

1/2h -2 + 2 = -5 + 2

1/2h = 3

now you've isolate the variable and you can solve for h.

(h = 6)

The i-Ready Answer:

h=14

The i-Ready Explanation:

1/2h-12= -5

      +12   +12        ( Add 12 on both sides )

     1/2h=7

2 x 1/2h=2 x 7     ( Multiply by 2 on both sides )

          h=14

Answer:

39/40

Step-by-step explanation:

-25/40 + 64/40 already has a common denominator so you just need to add the numerators. -25 +64 = 39 over the denominator of 40.

39/40

Step-by-step explanation:

-5/8 + 16/10 = -5/8 + 8/5 = -25+64/40 = 39/40

Answer:

[tex]f(g(-7))=10[/tex]

Step-by-step explanation:

We have the two functions:

[tex]\displaystyle f(x)=\frac{1}{3}x+7\text{ and } g(x)=-2x-5[/tex]

And we want to find:

[tex]f(g(-7))[/tex]

So, we will first find g(-7). We know that:

[tex]g(x)=-2x-5[/tex]

Then by substitution:

[tex]g(-7)=-2(-7)-5[/tex]

Evaluate. Multiply:

[tex]g(-7)=14-5=9[/tex]

Therefore, we can rewrite our expression as:

[tex]f(g(-7))=f(9)[/tex]

Since we know that:

[tex]\displaystyle f(x)=\frac{1}{3}x+7[/tex]

By substitution:

[tex]\displaystyle f(9)=\frac{1}{3}(9)+7[/tex]

Evaluate:

[tex]f(9)=3+7=10[/tex]

Therefore:

[tex]f(g(-7))=10[/tex]

Answer:

[tex]\boxed {\boxed {\sf f(g(-7))= 10}}[/tex]

Step-by-step explanation:

We are asked to find f(g(-7)) given these 2 functions:

We must work from the inside out, so first find g(-7).

1. g(-7)

The function for g is:

[tex]g(x)= -2x-5[/tex]

Since we want to find g(-7), plug -7 in for x.

[tex]g(-7)= -2(-7)-5[/tex]

Solve according the PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Multiply -2 and -7.

[tex]g(-7)=14-5[/tex]

Subtract 5 from 14.

[tex]g(-7)=9[/tex]

2. f(9)

Refer back to the original problem: f(g(-7))

Since we found that g(-7) is 9, we can substitute 9 in: f(9)

The function for f is:

[tex]f(x)= \frac{1}{3} x+7[/tex]

Plug 9 in for x.

[tex]f(9)=\frac{1}{3}(9)+7[/tex]

Solve according to PEMDAS and multiply 1/3 and 9.

[tex]f(9)=3+7[/tex]

Add 3 and 7.

[tex]f(9)=10[/tex]

f(g(-7) is equal to 10

Answer:

Step-by-step explanation:ifk

Answer:

the answer is a or b .

Step-by-step explanation:

had the same question on my test.

Answer:

5

if you wrote the second term in mixed fraction!

or,

7/2 , if you wrote it as a product.

Answer:

5

Step-by-step explanation:

Answer:

4/81 = a

Step-by-step explanation:

The vertex form of a parabola is

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

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

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

Substituting the point into the equation

2 = a( 4+5)^2 -2

2 = a( 9)^2 -2

2 = a (81) -2

Add 2 to each side

4 = 81 a

Divide each side by 81

4/81 = a

Answer:

a=4/81

Step-by-step explanation:

Hopefully this helps :)

Step-by-step explanation:

f(x) = 8/x + 2

g(x) = x²

When y = f(g(x)),

y = f(x²) = 8/x² + 2.

Answer:

Yes, if you round up the decimals.

Step-by-step explanation:

Answer:

RRSP is an acronym for “registered retirement savings plan” and, naturally is all about saving for when you're old. RESP stands for “registered education savings plan” and provides a great way to sock money away for your child's university education.

Step-by-step explanation:

Answer:

A^2+B^2= C^2 or A+B=C

Step-by-step explanation:

Hope this helps

Answer:

44,39 in

Step-by-step explanation:

To find the space diagonal (whatever it's called in English) you begin looking at the bottom of the box. We want to know the diagonal since the diagonal is one of the sides of the other triangle.

To do this we can start by using trigonometry. (SOH-CAH-TOA)

We need to use Sin t. (Since we wanna know the hypothenuse and we have the opposite.)

So...

Sin(40) = 24 in ÷ h

Then we need to actually be able to calculate this, which we will be able to do if we multiply with h on both sides.

hSin(40) = 24 in

Like that. And now we can divide both sides with Sin(40). So we calculate 24 in devided by Sin(40).

h = 24 in ÷ Sin(40) = 37,34 in

Okay so now we now the diagonal, 37,34 in. Now we can use Pythagorean theorem. (2a+2b=2c and c = square root of (2a+2b))

37,34 in^(2) + 24 in^(2) = 1970,28

And now we take the square root of 1970,28.

Which is about 44,39 in.

If you're not familiar with these concepts I suggest you search them up.

Answer:

70

Step-by-step explanation:

Answer:

uh its been 2 weeks so, good luck!

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

-4(3) = -12

-12 + 8 = -4

After solving the algebraic equation, the unknown number is equal to -4.

To write the word problem as an algebraic equation:

In this exercise, we are required to translate the given word problem into a mathematical (algebraic) expression and then solve for the unknown variable (number):

Translating the word problem into an algebraic expression, we have;

Eight more than three times a number:

[tex]3x + 8[/tex]

Equating the above to the number, we have:

[tex]3x + 8=x\\\\3x-x=-8\\\\2x=-8\\\\x=\frac{-8}{2}[/tex]

x = -4

Read more on word problems here: https://brainly.com/question/2515220

Answer:

9.108

You only need to look at the 10nths place to determine which number is larger

Step-by-step explanation: