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3 years ago

The difference 2/5(d−10)−2/3(d+6) is

Mathematics

2 answers:

creativ13 [48]3 years ago

8 0

Answer: -4/15d+−8

Step-by-step explanation:

spin [16.1K]3 years ago

6 0

Let's simplify step-by-step.

2/5(d−10)−2/3(d+6)

Distribute:

= (2/5)(d)+(2/5)(−10)+ −2/3d+ −4

= 2/5d+−4+ −2/3d+ −4

Combine Like Terms:

= 2/5d+−4+ −2/3d+ −4

= −4/15d+−8

And your answer is...

= −4/15d+−8

plz mark me as brainliest if this helped :)

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Virty [35]

Answer:

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Step-by-step explanation:

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3 years ago

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Jans account balance is $2800. She pays $750 for rent. Jan wants to go on vacation but she wants to keep a balance of at least $

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Answer:

Step-by-step explanation:

$2800 - $750 = $2050

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3 years ago

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What is the value of x?

vitfil [10]

Answer:

x = 27

Step-by-step explanation:

Based on the angle bisector theorem, we would have the following:

(x + 8)/10 = (2x - 5)/14

Cross multiply

14(x + 8) = 10(2x - 5)

14x + 112 = 20x - 50

Collect like terms

14x - 20x = -112 - 50

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Divide both sides by -6

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8 0

2 years ago

How many Solutions does this system have? (1 point)

mixas84 [53]

The given system of equation that is $2x+y=3$ and $6x=9-3y$ has infinite number of solutions.

Option -C.

<u>Solution:</u>

Need to determine number of solution given system of equation has.

$\begin{array}{l}{2 x+y=3} \\\\ {6 x=9-3 y}\end{array}$

Let us first bring the equation in standard form for comparison

$\begin{array}{l}{2 x+y-3=0} \\\\ {6 x+3 y-9=0}\end{array}$

$\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}$

To check how many solutions are there for system of equations $a_{1} x+b_{1} y+c_{1}=0 \text{ and }a_{2} x+b_{2} y+c_{2}=0$ , we need to compare ratios of $\frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}} \text { and } \frac{c_{1}}{c_{2}}$

In our case,

$a_{1} = 2, b_{1}= 1\text{ and }c_{1}= -3$

$a_{2} = 6, b_{2} = 3,\text{ and }c_{2} = -9$

$\begin{array}{l}{\Rightarrow \frac{a_{1}}{a_{2}}=\frac{2}{6}=\frac{1}{3}} \\\\ {\Rightarrow \frac{b_{1}}{b_{2}}=\frac{1}{3}} \\\\ {\Rightarrow \frac{c_{1}}{c_{2}}=\frac{-3}{-9}=\frac{1}{3}} \\\\ {\Rightarrow \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}=\frac{1}{3}}\end{array}$

As $\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}$ , so given system of equations have infinite number of solutions.

Hence, we can conclude that system has infinite number of solutions.

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3 years ago

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Andrews [41]

Answer:

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Step-by-step explanation:

His joumey maps out a right angles triangle with base 80 and height 60.

The required area = 1/2 * 80 * 60

= 2400 ft^2

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2 years ago