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3 years ago

What is the solution to this equation x+12= -5

Mathematics

2 answers:

scZoUnD [109]3 years ago

5 0

-17, I think.
12 - -5 = -17
17/1 =-17
X=-17

gtnhenbr [62]3 years ago

5 0

Answer: x=-17

Step-by-step explanation: Move all terms not containing x to the right side of the equation.

Hope this helps you out.

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A hose is leaking water at a rate of 2 oz/h. How many cups of water will leak out after 2 weeks?

Over [174]

Answer:

84 cups of water will leak out after 2 weeks

Step-by-step explanation:

* Lets how many how to change oz to cup

- One cup contains 8 oz

- We can use the ratio to solve this problem

- A hose is leaking water at a rate of 2 oz/h

- We need to find how many cups of water will leak out after 2 weeks

∵ The rate of the water leak out is 2 oz/hr

∵ 1 cup contains 8 oz

∴ 1 oz = $\frac{1}{8}$ cup

∴ 2 oz = 2 × $\frac{1}{8}$ = $\frac{2}{8}$ = $\frac{1}{4}$ cup

∴ The rate of the water leak out = $\frac{1}{4}$ cup/h

∵ 1 day = 24 hours

∵ 1 week = 7 days

∴ 1 week = 7 × 24 = 168 hours

∵ The number of hours in 1 week is 168

∴ The number of hours in 2 weeks = 168 × 2 = 336 hours

⇒ cups : hours

⇒ $\frac{1}{4}$ : 1

⇒ x : 336

- By using cross multiplication

∴ x = 336 × $\frac{1}{4}$

∴ x = 84

- x represents the number of cups of water leak out

<em>84 cups of water will leak out after 2 weeks</em>

5 0

3 years ago

The real numbers $x$ and $y$ are such that \begin{align*} x + y &= 4, \\ x^2 + y^2 &= 22, \\ x^4 &= y^4 - 176 \sqrt{

tamaranim1 [39]

You get everything you need from factoring the last expression:

$x^4-y^4=-176\sqrt7$

The left side is a difference of squares, and we get another difference of squares upon factoring. We end up with

$x^4-y^4=(x^2-y^2)(x^2+y^2)=(x-y)(x+y)(x^2+y^2)$

Plug in everything you know and solve for $x-y$ :

$-176\sqrt7=(x-y)\cdot4\cdot22\implies x-y=\boxed{-2\sqrt7}$

4 0

3 years ago

Read 2 more answers

frank is wrapping a present. the box measures 6 cm wide by 9 cm long by 5.1 cm tall.what amount of wrapping paper,not counting o

Montano1993 [528]

(2 × (6cm x 9cm)) + (2 × (6cm x 5.1cm)) + (2 × (9cm x 5.1cm)) = 261 square cm

3 0

3 years ago

if buyer purchases 25% of a lot in the spring and then purchases 50% more in the fall what percentage of the lot is still availa

brilliants [131]

Answer:

25%

Step-by-step explanation:

Total purchase = 25%+50%

Total purchase = 75%

Percentage left = 100% - 75%

Percentage left = 25%

8 0

3 years ago

Sandra is selling cookie dough for a fundraiser. She has a minimum fundraising goal of $150. If Sandra's mom gave her a $45 cont

grin007 [14]

Answer:

<h2>At least 21 cookie</h2>

Step-by-step explanation:

Firstly she needed to raise $150

and each cookie $5

let the number of cookie be x

let the expression for the fund raising be

150=5x

given that the mom gave her $45

then she need

150-45=5x

105=5x

x=105/5

x=21

Therefore she need to sell at least 21 cookie

6 0

3 years ago