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monitta
3 years ago
7

a) six pens and five pencils cost $2.50 while three pens and two pencils cost $1.15 . what will be the cost of a pen and 4 penci

ls . please help me
Mathematics
2 answers:
Lisa [10]3 years ago
4 0
X - pen
y - pencil

6x+5y=2.5\\ 3x+2y=1.15\\\\ 6x+5y=2.5\\ -6x-4y=-2.3\\ --------\\ y=\$0.2\\\\
6x+5\cdot0.2=2.5\\
6x+1=2.5\\
6x=1.5\\
x=\$0.25\\
\\x+4y=0.25+4\cdot0.2=\boxed{\$1.05 }
melisa1 [442]3 years ago
3 0
Let pen's cost be x and pencil's cost be y.

6x + 5y = 2.50
3x + 2y = 1.15

Thus, 3x = 1.15 - 2y
Therefore, 6x = 2.30 - 4y

Substituting the value of 6x ;

(2.30 - 4y) + 5y = 2.50

or, 2.30 + y = 2.50

=> y = 0.20.

Substituting the value of y ;

6x = 2.30 - 4(0.20)
6x = 2.30 - 0.80 = 1.5
6x = 1.5
=> x = 0.25

Thus, 1 pen costs 0.25 $ and 1 pencil costs 0.20$.

Thus, cost of one pen is 0.25$.
Cost of 4 pencils is 0.80 $

0.25$ + 0.80$ = 1.05$
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Answer:

The correct answer is 72 + 4 × x \geq 400.

Step-by-step explanation:

The dance committee of Pine Bluff Middle School earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spring Fling dance.

The dance will cost $400.

Let x number of tickets the committee could sell.

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The committee should have some left over money also after spending for the dance which costs $400.

Thus the inequality to determine the number of tickets the committee could sell to have money left over after they pay for this year's dance is given by,

72 + 4 × x \geq 400.

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3 years ago
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4 years ago
Your mother gave you $13.32 with which to buy a present. This covered 3/5 of the cost. How much did the present cost
Gala2k [10]

Answer:

$22.20

Step-by-step explanation:

We are told that $13.32 only covered 3/5 of the cost. Does this mean it covered the whole cost? No. The 5 in the denominator represents the whole cost, and the 3 represents the fraction of the cost. In this case, 13.32 represents the 3, as it did not cover the whole cost.

Let's set up our equation by making 13.32 into a fraction.

13.32/x

We will represent the present's actual cost with the letter x.

13.32/x = 3/5

We want to make sure the 13.32 is in the numerator, equal to the 3 in the numerator in the 3/5 number, because we know that $13.32 only covered for a <em>fraction </em>of the present's cost, not the whole cost.

We solve this by doing cross multiplication. Multiply the 13.32 by the 5.

13.32 x 5 = 66.6

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5 0
4 years ago
Help me please i cant seem to get it
givi [52]

The diagnonals of a parallelogram bisect each other ,

so

=》 BD = 3x × 2

=》BD = 6x

and there's given that

=》

BD = \dfrac{3}{5} AC

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6x =  \dfrac{3}{5}  \times 40

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x = 4

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