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DedPeter [7]
3 years ago
7

The sum of two numbers is -149. One number is 5 less than the other. Find the numbers

Mathematics
2 answers:
Semmy [17]3 years ago
8 0
DEFINE VARIABLES:
x- first number
y- second number

FORM THE TWO EQUATIONS:
x + y = -149
x = y-5

PLUG IN FIRST VALUE TO FIND SECOND (order you plug in doesn’t matter):
(y-5) + y = -149

SIMPLIFY:
(y-5) + y = -149
2y -5 = -149
2y = -144
y = -72

PLUG IN SECOND VALUE TO FIND FIRST:
x + y = -149 —> y = -x-149

x = (-x-149) -5
x = -x -154
2x = -154
x= -77

WRITE FINAL SOLUTION:
(x,y)
(-77, -72)
PSYCHO15rus [73]3 years ago
6 0

Answer:

-72 and -77

Step-by-step explanation:

-149 divided by 2 is 74.5 and sense we want a 5 difference we divide 5 by 2 to get 2.5 the we take 74.5 and add 2.5 to get - 72 and take 74.5 and subtract 2.5 to get -77.

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malfutka [58]

Answer:

The carpenter will not be able to buy 12  '2 by 8 boards' and 14 '4 by 4 boards'.

Step-by-step explanation:

Given:

Amount a carpenter can spend at most = $250

The inequality to represent the amount he can spend on each type of board is given as:

8x+12y

where x represents  '2 by 8 boards' and y represents '4 by 4 boards'.

To determine whether the carpenter can buy 12  '2 by 8 boards' and 14 '4 by 4 boards'.

Solution :

In order to check whether the carpenter can buy 12  '2 by 8 boards' and 14 '4 by 4 boards' ,  we need to plugin the x=12 and y=14 in the given inequality and see if it satisfies the condition or not or in other words (12,14) must be a solution for the inequality.

Plugging in  x=12 and y=14 in the given inequality

8(12)+12(14)

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The above statement can never be true and hence the carpenter will not be able to buy 12  '2 by 8 boards' and 14 '4 by 4 boards'.

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After 7 years, Amber earned $1575 in simple interest from a cd into which he initially deposited $6000. What was the annual inte
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\bf ~~~~~~ \textit{Simple Interest Earned}
\\\\
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\\\\\\
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\\\\\\
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Step-by-step explanation:

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