2 years ago

Which ordered pair is the solution to the system of equations? {x+3y=−12 y=13x−6

Mathematics

1 answer:

Basile [38]2 years ago

3 0

Answer:

all work is shown and pictured

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Express the product of (1/5x + 1) and (1/6x + 5/4) as a trinomial in simplest form

Greeley [361]

$(\frac{1}{5}x+1)(\frac{1}{6}x+\frac{5}{4})$

Use distributive property to remove the parentheses:

$(a+b)(c+d)=ac+ad+bc+bd$ $\begin{gathered} =\frac{1}{5}x*\frac{1}{6}x+\frac{1}{5}x*\frac{5}{4}+1*\frac{1}{6}x+1*\frac{5}{4} \\ \\ Multiplication\text{ }of\text{ }fractions: \\ \frac{a}{b}*\frac{c}{d}=\frac{a*c}{b*d} \\ \\ =\frac{1}{30}x^2+\frac{5}{20}x+\frac{1}{6}x+\frac{5}{4} \\ \\ =\frac{1}{30}x^2+\frac{1}{4}x+\frac{1}{6}x+\frac{5}{4} \\ \\ Addition\text{ }of\text{ }fractions: \\ \frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd} \\ \\ =\frac{1}{30}x^2+(\frac{6x+4x}{24})+\frac{5}{4} \\ \\ =\frac{1}{30}x^2+\frac{10}{24}x+\frac{5}{4} \\ \\ Simplify: \\ =\frac{1}{30}x^2+\frac{5}{12}x+\frac{5}{4} \end{gathered}$ Then, the product in the simplest form is: $\frac{1}{30}x^2+\frac{5}{12}x+\frac{5}{4}$

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5 months ago

Given the equation: 9y + 3x = 30 , what's the y-<br> intercept? Round to the nearest hundredth.

Gekata [30.6K]

Answer:

3.3 or 10/3

Step-by-step explanation:

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2 years ago

A rectangular parking lot has an area of 682 square yards. The lot is 22 yards wide. What is the length of the parking lot?

tatuchka [14]

The answer is 31 yards.

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Where is the exact volume of the sphere

baherus [9]

$\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=12.3 \end{cases}\implies V=\cfrac{4\pi (12.3)^3}{3}\implies \stackrel{\pi =3.14}{V\approx 7790.83}$

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2 years ago

the cost of an ice cream sundae is 4.75$ plus 30 cents per topping. megan spends $6.26 on her sundae how many toppings did he ge

alexgriva [62]

Answer:

Step-by-step explanation:

$4.75 + 0.3x = $6.26

0.3x = 1.51

x = 5.033

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