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3 years ago

Subtract 3 1/8 from 6/8

Mathematics

1 answer:

ss7ja [257]3 years ago

7 0

The answer is 19/8 and in the decimal form it's 2.375

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124 7/8 gallons of water drained from a pool in 25 minutes how much water drained from pool each minute

boyakko [2]

first off, let's convert the mixed fraction to "improper", and then check,

$\bf \stackrel{mixed}{124\frac{7}{8}}\implies \cfrac{124\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{999}{8}}\\\\ -------------------------------\\\\ \begin{array}{ccll} \stackrel{water}{gallons}&minutes\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \frac{999}{8}&25\\\\ x&1 \end{array}\implies \cfrac{\quad \frac{999}{8}\quad }{x}=\cfrac{25}{1}\implies \cfrac{\quad \frac{999}{8}\quad }{\frac{x}{1}}=25$

$\bf \cfrac{999}{8}\cdot \cfrac{1}{x}=25\implies \cfrac{999}{8x}=25\implies 999=200x \\\\\\ \cfrac{999}{200}=x\implies \stackrel{gallons}{4\frac{199}{200}}=x$

4 0

3 years ago

Why do you first combine like terms and then use Distributive Property to solve 8(5x+9x+6)=160?

Leni [432]

You can actually do it either way, you could distribute first and then combine, you would get the same answer. I guess it just depends on what you find easier. Here is how to solve it both ways:

Combining First:

8(5x+9x+6)=160

8(14x+6)=160

112x+48=160

112x=112

x=1

NOT Combining First:

8(5x+9x+6)=160

40x+72x+48=160

112x+48=160

112x=112

x=1

so, you would get the same answer both ways, it is of personal preference what you do first.

5 0

3 years ago

Use the quadratic formula s to solve 2y^2-6y-8=0

Korvikt [17]

Answer:

{4, - 1}

Step-by-step explanation:

Given

2y² - 6y - 8 = 0 ← in standard form

with a = 2, b = - 6, c = - 8

Using the quadratic formula to solve for y

y = ( - (- 6) ± $\sqrt{(-6)^2-(4(2)(-8)}$ ) / (2 × 2)

= ( 6 ± $\sqrt{36+64}$ ) / 4

= ( 6 ± $\sqrt{100}$ ) / 4

= ( 6 ± 10 ) / 4

x = $\frac{6+10}{4}$ = $\frac{16}{4}$ = 4

x = $\frac{6-10}{4}$ = $\frac{-4}{4}$ = - 1

Solution is { 4, - 1 }

6 0

3 years ago

In September a clothing store had a sale where you could get 5 scarves for $28.35. In October the price was changed to 7 scarves

kykrilka [37]

Answer: october

Step-by-step explanation:

for october its 5.77

and for september its 5.67

so october is the answer

7 0

2 years ago

Solve the system of equations and choose the correct answer from the list of options.

velikii [3]

Answer:
b
(3, -2)

step-by-step explanation:
needs to be y = mx + b
x + y = 1
-x -x
y = -x + 1
y = x - 5 is already in form
using desmos
they intersect at (3, -2)

5 0

3 years ago

Read 2 more answers