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2 years ago

2.

Mathematics

1 answer:

Lelechka [254]2 years ago

5 0

Answer:

The most simple method for solving systems of equations is to transform one of the equations so it allows for the canceling out of a variable. In this case, we can multiply \displaystyle 3x + y = 8 by to get . Then, we can add \displaystyle 2x + 4y = 12 to this equation to yield , so .

Step-by-step explanation:

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The art teacher has 7 bottles of glue that are each 2/5 full. He combines them so he will have fewer bottles. How many bottles o

Katen [24]

Teacher will have 3 bottles of glue after he combines

Solution:

Given that,

The art teacher has 7 bottles of glue that are each 2/5 full

He combines them so he will have fewer bottles

To find: bottles of glue does he have after he combines them

From given,

Total bottles = 7

Each is 2/5 full

Therefore, multiply 7 with 2/5 to get total bottles of glues he will have after combining

$Number\ of\ bottles\ of\ glues = 7 \times \frac{2}{5}\\\\Number\ of\ bottles\ of\ glues = \frac{14}{5} = 2.8 \approx 3$

Thus teacher will have 3 bottles of glue after he combines

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3 years ago

Penny and Sheldon are assembling hair clips. Penny can assemble a hair clip in 6 minutes and Sheldon can assemble a hair clip in

creativ13 [48]

The answer would be 18 minutes

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2 years ago

Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or movie. Adrian will earn $

gayaneshka [121]

Answer:

Adrian's songs played on 9 commercials and 5 movies.

Step-by-step explanation:

Let x denotes number of commercials and y denotes number of movies.

Total number of commercials and movies = 14

So,

$x+y=14\\x=14-y\,\,\,\,...(i)$

Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie

Total amount earned = $1010

$40x+130y=1010\,\,\,...(ii)$

Put $x=14-y$ in (ii)

$40(14-y)+130y=1010\\560-40y+130y=1010\\90y=1010-560\\90y=450\\y=\frac{450}{90}=5$

Put $y=5$ in $x=14-y$

$x=14-5=9$

Therefore, Adrian's songs played on 9 commercials and 5 movies.

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2 years ago

Blank percent of 50 shirts is 35 shirts

kirill [66]

$x\% \times 50 = 35 \\ \dfrac{x}{100} \times 50 = 35 \\ x = 35 \div 50 \times 100 \\ x = 70$

Answer check :
$50 \times \dfrac{70}{100} \\ = 35$

Answer : 70%

Hope this helps. - M

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2 years ago

A 2-ft vertical post casts a 16-in. shadow at the same time a nearby cell phone tower casts a 120-ft shadow. How tall is the cel

Snowcat [4.5K]

Do 120÷8 aka 15 that is the answer

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2 years ago