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3 years ago

243^-y=(1/243)^3y*9^-2y a.) y=-1 b.) y=0 c.) y=1 d.) no solution

Mathematics

2 answers:

allochka39001 [22]3 years ago

8 0

$243^{-y}=(\frac{1}{243})^{3y}\times 9^{-2y}$ has y = 0 as a solution.

Selection B is appropriate.

blondinia [14]3 years ago

7 0

Answer:

b.) y=0

Step-by-step explanation:

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What is the measure of angle A?

fgiga [73]

Answer:

∠A=65º

Step-by-step explanation:

A angle of a line is 180º, so we can say that angle ABC=(180-6x)º
The interior angkes of a triangle is 180º, so (x+40)º+(3x+10)º+(180-6x)º=180º
Remove parenthesis, x+40+3x+10+180-6x=180
Combine like terms, -2x+230=180
Subtract 180, -2x=-50
Divide by -2, so x=25

Now:

∠CAB=(25+40)º=65º
∠ABC=[180-6(25)]º=30º
∠BCA=[3(25)+10]=85º

5 0

3 years ago

Tickets to a show cost $5.50 for adults and $4.25 for students. A family is purchasing 2 adult tickets and 3 student tickets.

jarptica [38.1K]

The exact cost is $23.75 for the show, and the exact change they should get is $1.25.

An adult ticket to the show costs $5.50

A student ticket to the show costs $4.25.

A family buys two adult tickets and three student tickets. This would imply that the total cost of two adult tickets would be

⇒ 2 × 5.5 = $11

It also implies that the total cost of three student tickets is

3 × 4.25 = $12.75

The total cost of two adult tickets and three student tickets is

⇒ 11 + 12.75 = $23.75

If the family pays $25, the exact change they should get is

⇒ 25 - 23.75 = $1.25

Thus, the exact cost is $23.75 for the show, and the exact change they should get is $1.25.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

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5 0

1 year ago

3. How many solutions does the system of equations have? 2x=-10y+ 6 and x+5y=3

ozzi

Answer:

<h2>3. Infinitely many</h2>

Step-by-step explanation:

$\left\{\begin{array}{ccc}ax+by=c\\dx+ey=f\end{array}\right\\\\(1)\\\text{if}\ a=d,\ b=e,\ c=f,\ \text{then the system of equations has infinitely many solutions}\\Example:\\\left\{\begin{array}{ccc}2x-3y=5\\2x-3y=5\end{array}\right\\(2)\\\text{if}\ a=d,\ b=e,\ c\neq f,\ \text{then the system of equations has no solution}\\Example:\\\left\{\begin{array}{ccc}2x-3y=5\\2x-3y=-5\end{array}\right$

$(3)\\\text{if}\ a\neq d\ \text{or}\ b\neq e,\ \text{then the system of equations has infinitely many solutions}\\Example:\\\left\{\begin{array}{ccc}x-3y=5\\2x-3y=5\end{array}\right$

$\text{We have:}\\\\\left\{\begin{array}{ccc}2x=-10y+6&\text{add 10y to both sides}\\x+5y=3\end{array}\right\\\left\{\begin{array}{ccc}2x+10y=6&\text{divide both sides by 2}\\x+5y=3\end{array}\right\\\left\{\begin{array}{ccc}x+5y=3\\x+5y=3\end{array}\right$

4 0

4 years ago

Atile installer charges $15 per soruare foot to install floor tile What is the cost to install tile in a room of the size shown?

Westkost [7]

Answer:

$330

Step-by-step explanation:

You time 15 by each squat ft

8 0

3 years ago

carrie has 340 marbles to put in Vases she wants the vases to hold eathier 100 marbles or 10 marbles which way she can arrange t

ss7ja [257]

340 /10=34 or 340/100=3.4

7 0

3 years ago