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3 years ago

I need help with this problem

Mathematics

1 answer:

-BARSIC- [3]3 years ago

6 0

Regular is
$97.99 after sale price is 83.30
97.99- 83.30= 14.69 is the discount
You can do it same way with B C and D

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What should the next number be? 100 96 104 88 120 56

riadik2000 [5.3K]

100 ---> 96 is -4

96 ---> 104 is +8

104 ---> 88 is -16

88 ---> 120 is +32

120 ---> 56 is -64

So first we go down by 4, then up by 8, then down 16, then up 32, then finally down 64.

The pattern of numbers is: -4, +8, -16, +32, -64

Notice it's the powers of 2:

2^2 = 4

2^3 = 8

2^4 = 16

2^5 = 32

2^6 = 64

each term doubles. Also each term alternates in sign. One is positive, then the next is negative and so on.

The last difference is -64, which doubles to -128. Change the sign to positive to get +128

Add 128 to the last term of 56 to get

128+56 = 184

Therefore, the final answer is 184

8 0

3 years ago

Explain how you know which method you should use to solve a rational equation.

notsponge [240]

<u>Methods to solve rational equation:</u>

Rational equation:

A rational equation is an equation containing at least one rational expression.

Method 1:

The method for solving rational equations is to rewrite the rational expressions in terms of a common denominator. Then, since we know the numerators are equal, we can solve for the variable.

For example,

$\frac{1}{2}=\frac{x}{2}\Rightarrow x=1$

This can be used for rational equations with polynomials too.

For example,

$\frac{1+x}{x-3}=\frac{4}{x-3}\Rightarrow(1+x)=4 \Rightarrow x=3$

When the terms in a rational equation have unlike denominators, solving the equation will be as follows

$\frac{x+2}{8}=\frac{3}{4}$

$\Rightarrow\frac{x+2}{1}=\frac{3\times8}{4}\Rightarrow{x+2}=2\times3$

$\Rightarrow{x+2}=6\Rightarrow x=6-2\Rightarrow x=4$

Method 2:

Another way of solving the above equation is by finding least common denominator (LCD)

$\frac{x+2}{8}=\frac{3}{4}$

Factors of 4: $1\times2\times2$

Factors of 8: $1\times2\times2\times2$

The LCD of 4 and 8 is 8. So, we have to make the right hand side denominator as 8. This is done by the following step,

$\Rightarrow\frac{x+2}{8}=\frac{3}{4}\times{2}{2}$

we get,

$\Rightarrow\frac{x+2}{8}=\frac{6}{8}$

On cancelling 8 on both sides we get,

$\Rightarrow(x+2)=6\rightarrow x=6-2\rightarrow x=4$

Hence, these are the ways to solve a rational equation.

7 0

2 years ago

Grace earns $7 for each car she washes. She always saves$25 of her weekly earnings. This week she wants to have at least $65 in

lidiya [134]

Hi!
I think Grace needs to wash at least 6 cars. Please tell me if I'm wrong.

Thank you

7 0

3 years ago

The mathematics class took an educational field trip. There were 360 total students in buses and vans. If each bus holds 55 stud

saveliy_v [14]

I think if you take 360 and divide it by 55 thats how many busses they used. Then take that answer and divide it by 13 to find how many vans were used.

5 0

2 years ago

Please I need help asap

Korvikt [17]

Answer:

area of a triangle

1/2 base ×height

1/2×15×8.5

=63.75cm ^2

5 0

2 years ago

Read 2 more answers