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sweet [91]
3 years ago
8

20 Points:

Mathematics
2 answers:
tensa zangetsu [6.8K]3 years ago
8 0

Answer:

x=105

y=150

Step-by-step explanation:

Systematic solution:

\left \{ {{x+y=255} \atop {x+5y=855}} \right.

\left \{ {x=255-y} \atop {x+5y=855} \right.

255-y+5y=855

4y=600

y=150

x=255-150=100

Answer:

x=105

y=150

belka [17]3 years ago
6 0

Answer:

D. 105 students and 150 guests

Step-by-step explanation:

105 students and $1 for each ticket is $105.(105 x 1 = 105)

150 guests and $5 for each ticket is $750.(150 x 5 =750)

$105 + $750 = $855

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Answer:

1

Step-by-step explanation:

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3 0
3 years ago
10^9 is how many times the value of 10^8
slavikrds [6]

Answer:

10^9 is 10 × 10^8, since 10^9= 10×10×10×10×10×10×10×10×10

7 0
3 years ago
If A=(0,0) and B=(8,2), what is the length of AB
NeX [460]

Answer:

\boxed{\sf Distance_{AB}= 8.24 \ units }

Step-by-step explanation:

Here two points are given to us and we need to find the distance between the two points . The given points are , <u>A(</u><u>0</u><u>,</u><u>0</u><u>)</u><u> </u>and <u>B(</u><u>8</u><u>,</u><u>2</u><u>)</u> . The distance between the two points can be found out using the<u> </u><u>Distance</u><u> Formula</u><u> </u>, which is ,

<em>Distance Formula:- </em>

\sf\implies \green{ Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}}

Therefore on substituting the respective values ,we can find the Distance as ,

\sf\longrightarrow Distance = \sqrt{ ( 0 - 8)^2 + (0-2)^2}

<u>Simpl</u><u>i</u><u>fy </u><u>the </u><u>brackets</u><u> </u><u>,</u>

\sf\longrightarrow Distance =\sqrt{ (-8)^2+(-2)^2}

Square the numbers inside the squareroot ,

\sf\longrightarrow Distance =\sqrt{ 64 + 4}

Add the numbers inside the squareroot ,

\sf\longrightarrow Distance = \sqrt{68}

Find the value of squareroot,

\sf\longrightarrow \boxed{\blue{\sf Distance = 8.24 \ units }}

<u>Hence</u><u> the</u><u> </u><u>distance</u><u> between</u><u> the</u><u> two</u><u> points</u><u> </u><u>is</u><u> </u><u>8</u><u>.</u><u>2</u><u>4</u><u> </u><u>units </u><u>.</u>

3 0
3 years ago
An ice cream shop owner pays $0.12 per regular cone and $0.23 per waffle cone. Customers are allowed to choose which type of ice
kirill [66]

Answer:

Last week the owner spend <u>$42.32</u> on waffle cones.

Step-by-step explanation:

Given:

An ice cream shop owner pays $0.12 per regular cone and $0.23 per waffle cone. Customers are allowed to choose which type of ice cream cone they would prefer.

If two thirds of the 276 vibes sold last week were waffle cone.

Now, to find the amount the owner spend on waffle cones last week.

Last week waffle cone sold were = \frac{2}{3}\ of\ 276.

=\frac{2}{3} \times 276\\\\=\frac{552}{3} \\\\=184.

<u><em>Last week number of waffle cones sold were = 184.</em></u>

<u><em>Price of per waffle cone = $0.23.</em></u>

Now, to get the owner spend on waffle cones last week we multiply last week number of waffle cones sold were by price of per waffle cone:

184\times 0.23\\\\=\$42.32.

Therefore, last week the owner spend $42.32 on waffle cones.

5 0
3 years ago
Read 2 more answers
Simplify (3^5)^2/3^-2
Rasek [7]

Answer:

531441

Step-by-step explanation:

7 0
3 years ago
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