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3 years ago

Decrease £180 by 12.5%

Mathematics

2 answers:

Ierofanga [76]3 years ago

5 0

Answer:

The answer is £157.5.

Step-by-step explanation:

Another way of decreasing by a percentage is to increase by that percentages compliment.

Since 100-12.5 = 87.5%. We can increase 180 by 87.5% to get the same result.

0.875*180 = 157.5

mr_godi [17]3 years ago

5 0

Answer:

£ 157.5

Step-by-step explanation:

180 - 12.5%×180 =

= 180 - 12.5×180/100

= 180 - 2250/100

= 180 - 22.5

= £ 157.5

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Slope = 1; y-intercept = -4 Write the linear equation in slope intercept form

krek1111 [17]

Answer:

y = x - 4

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Step-by-step explanation:

Step 1: Define

Slope m = 1

y-intercept b = -4

Step 2: Write function

y = x - 4

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2 years ago

X plus 1/3 equals nine enter your answer in the box in simplest form

LekaFEV [45]

$= > x + \frac{1}{3} = 9$

$\text{Add} \: - \frac{1}{3} \: \text{ on both sides ,}$

$= > x + \frac{1}{3} - \frac{1}{3} = 9 - \frac{1}{3} \\ \\ \\ \\ = > x = \frac{(9 \times 3) - 1}{3} \\ \\ \\ \\ = > x = \frac{27 - 1}{3} \\ \\ \\ \boxed{ \bold{= > x = \frac{26}{3} }} \\ \\ \\ or , \boxed{ \bold{ \: x = 8. \bar{6}}}$

Hence,

$Value \: \: \: of \: \: x \: \: is \: \frac{26}{3} \: \: \: or \: \: \: 8. \bar{6}$

5 0

3 years ago

Can someone explain how to solve this and the solution? Please and thank you :)

Verizon [17]

25 > 2x + 8 - 66

first simplify all numbers

25 > 2x + (8 - 66)
25 > 2x - 58

Then add 58 to both sides

25 (+58) > 2x - 58 (+58)
83 > 2x

Finally divide 2 from both sides to isolate the x

83/2 > 2x/2

41.5 > x

hope this helps

3 0

3 years ago

Todd hired a handyman to replace some tiles in his bathroom. He paid him $24 per hour of work and $15 as a tip.

Citrus2011 [14]

He paid him : 24t + 15

for 3 hrs...
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3 years ago

What are the solutions of the equation 9x4 – 2x2 – 7 = 0? Use u substitution to solve. tions of the equation 9

skelet666 [1.2K]

Answer:

Step-by-step explanation:

Let $u^2=x^4\\u = x^2$

Subbing in:

$9u^2-2u-7=0$

a = 9, b = -2, c = -7

The product of a and c is the aboslute value of -63, so a*c = 63. We need 2 factors of 63 that will add to give us -2. The factors of 63 are {1, 63}, (3, 21}, {7, 9}. It looks like the combination of -9 and +7 will work because -9 + 7 = -2. Plug in accordingly:

$9u^2-9u+7u-7=0$

Group together in groups of 2:

$(9u^2-9u)+(7u-7)=0$

Now factor out what's common within each set of parenthesis:

$9u(u-1)+7(u-1)=0$

We know this combination "works" because the terms inside the parenthesis are identical. We can now factor those out and what's left goes together in another set of parenthesis:

$(u-1)(9u+7)=0$

Remember that $u=x^2$

so we sub back in and continue to factor. This was originally a fourth degree polynomial; that means we have 4 solutions.

$(x^2-1)(9x^2+7)=0$

The first two solutions are found withing the first set of parenthesis and the second two are found in other set of parenthesis. Factoring $(x^2-1)$ gives us that x = 1 and -1. The other set is a bit more tricky. If