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3 years ago

Can someone find the graph of the inequality

Mathematics

1 answer:

Andrew [12]3 years ago

6 0

Answer:

See below

Step-by-step explanation:

The "y ≤" tells you two things:

The boundary line will be solid (because the "or equal" case is included)
The shading will be below the line (where y is less than ...)

Only one graph meets those requirements.

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image Alan, Benton, Claire, and Dita divided the cost of throwing a party as shown in the circle graph above. If Dita spent $ 12

sdas [7]

Let total amount spent =x

Dita spent 35 % of total amount.

35% of x = 0.35x

So amount spent by Dita = 0.35x

% of money spent by Benton = 20 % of x = 0.2x

We are given that Benton spent $12 more than Claire,

so making equation we have ,

Money spent by Dita = Money spent by Claire +12

$0.35x =0.2x +12$

$0.35x -0.2x = 12$

$0.5x =12$

x=80

So total amount spent was $80.

Money spent by Benton = 0.2x = 0.2 * 80= $16

So amount spent by Benton is $16.

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3 years ago

Line L1, L2 and L3 are in the same plane, L1 is perpendicular to L2, and L3 is parallel to L1. which of the following statement

exis [7]

Only Statement 2 is surely correct.
because there maybe chances that the line L1 and L3 lies above the line L2 and they can also fulfill the condition of perpendicularity so we can't be sure about statement 3 & statement 1 is clearly incorrect

7 0

3 years ago

EastWind [94]

Answer: A,C

Step-by-step explanation: They are facing each other making them interior angles

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3 years ago

2. Margie Spencer wants to have $100,000 in her savings account in 20 years. If her account pays 6.6% annual

WITCHER [35]

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$100000\\ P=\textit{original amount deposited}\\ r=rate\to 6.6\%\to \frac{6.6}{100}\dotfill &0.066\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus two} \end{array}\dotfill &2\\ t=years\dotfill &20 \end{cases}$

$100000=P\left(1+\frac{0.066}{2}\right)^{2\cdot 20}\implies 100000=P(1.033)^{40} \\\\\\ \cfrac{100000}{1.033^{40}}=P\implies 27288.97\approx P$

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2 years ago

What is the image of F for a dilation with center (0, 0) and a scale factor of 10?

kogti [31]

F = (-3,3)
scale factor of 10

-3 * 10 = -30
3 * 10 = 30

answer : (-30,30)

6 0

3 years ago

Read 2 more answers