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2 years ago

Is (0,0) a solution of the system y>x and x+y>0?

1 answer:

8 0

Plug the values (x,y)=(0,0) into the inequalities:

$y\ \textgreater \ x \\
0\ \textgreater \ 0 \\
not \ true \\ \\
x+y\ \textgreater \ 0 \\
0+0\ \textgreater \ 0 \\
0\ \textgreater \ 0 \\
not \ true$

0 isn't greater than 0, no (0,0) is not a solution to either of these inequalities.

The answer is D.

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In Las Vegas, Nevada, stores charge a 4.6% state sales tax and a 3.65% county sales tax. Yuki is purchasing a handbag priced at

GrogVix [38]

Answer:

$18.15

Step-by-step explanation:

We have been given that In Las Vegas, Nevada, stores charge a 4.6% state sales tax and a 3.65% county sales tax. Yuki is purchasing a handbag priced at $220 before tax.

To find sales tax paid by Yuki for her handbag purchase we will find 4.6% of $220 and 3.65% of $220 and add amount of both taxes.

$\text{Total sales tax amount}=\text{State sales tax amount}+\text{ County sales tax amount}$

$\text{State sales tax for handbag}=220\times\frac{4.6}{100}$

$\text{State sales tax for handbag}=22\times 0.46$

$\text{State sales tax for handbag}=10.12$

Now let us find county sales tax for handbag purchase.

$\text{County sales tax for handbag}=220\times\frac{3.65}{100}$

$\text{County sales tax for handbag}=22\times 0.365$

$\text{County sales tax for handbag}=8.03$

Now let us add both amount to get total tax paid by Yuki.

$\text{Total sales tax}=10.12+8.03$

$\text{Total sales tax}=18.15$

Therefore, Yuki paid $18.15 sales tax for her handbag purchase.

8 0

2 years ago

Read 2 more answers

A tree initially measured 18 feet tall. Over the next 312 years, it grew to a final height of 3512 feet. During those 312 years,

Leni [432]

Answer:

Average growth= 11.20 feet

Step-by-step explanation:

First, we need to calculate the total growth during those 312 years:

Total growth= 3,512 - 18

Total growth= 3,494 feet

Now, the average growth:

Average growth= total growth / number of years

Average growth= 3,494 / 312

Average growth= 11.20 feet

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2 years ago

Complete the equation, by supplying the missing exponent. m•n2•m3= m 11n2

MaRussiya [10]

Given:

Consider the given equation is:

$m^?\cdot n^2\cdot m^3=m^{11}\cdot n^2$

To find:

The missing exponent.

Solution:

Let x be the missing exponent. Then the given equation can be written as

$m^x\cdot n^2\cdot m^3=m^{11}\cdot n^2$

It can be rewritten as:

$(m^x\cdot m^3)\cdot n^2=m^{11}\cdot n^2$

$m^{x+3}\cdot n^2=m^{11}\cdot n^2$ $[\because a^ma^n=a^{m+n}]$

On comparing the coefficient of m, we get

$x+3=11$

$x=11-3$

$x=8$

Therefore, the value of the missing exponent is 8. So, the complete equation is $m^8\cdot n^2\cdot m^3=m^{11}\cdot n^2$ .

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2 years ago

In 2015, Gary earned $25,300. In 2016, he received a raise and earned $28,100. Comparing Gary’s increased salary to his previous

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[Find the changes in the salary]
Increase = 28100 - 25300 = 2800

[the change, divided by the original amount. x100 to give the percentage]
percentage increase = 2800/25300 x 100 = 11.07%

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16 - 2z-4/3 when z=18

Colt1911 [192]

Answer:

z= -3

Step-by-step explanation

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2 years ago