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3 years ago

-3x-ly = -16 2x +1y = 11

Mathematics

2 answers:

Aleksandr [31]3 years ago

5 0

Answer: (-2/15, -53/5)

Step-by-step explanation:

multiply, simplify, thn rimate the one variable by adding the equations then divide sides by -165 then substitute

MAVERICK [17]3 years ago

5 0

Answer:

x = 5 ; y =1

Step-by-step explanation:

-3x - 1y = -16 ----------(i)

2x + 1 y= 11 ---------(ii) {add (i) and (ii), +1y and -1y will be eliminated}

-x = -5

divide both side by -1

$\frac{-x}{-1}=\frac{-5}{-1}$

x = 5

Plug in x = 5 in (i)

-3*5 - 1y = -16

-15 - y = -16

-y = -16 + 15

-y = -1

divide both side by (-1)

$\frac{-y}{-1}=\frac{-1}{-1}\\y = 1$

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Step-by-step explanation:

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3 years ago

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Peregrine falcons can dive at speeds of up to 217 miles per hour. Use dimensional analysis to convert this speed to feet per min

RSB [31]

The speed 217 miles per hour using dimensional analysis to convert to feet per minute is; 19096 ft/min

<h3>How to use Dimensional Analysis?</h3>

From dimensional analysis, we know that;

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Thus;

1 mile/hr = 88 feet/min

Since conversion from mph to ft/min is, 1 mile/hr = 88 feet/min

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3 years ago

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belka [17]

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3 years ago

In 2002, Tim was twice as old as Sue. In 1997 the sum of their ages was 32. In what year will Sue's age be three-fourths Tim's a

xxMikexx [17]

Answer:

Year 2030.

Step-by-step explanation

In 1997, Let Tim's age = X years

In 1997, Let Sue's age = Y years

After 5 years in 2002, Tim's age = (X+ 5) years

After 5 years in 2002, Sue's age = (Y + 5) years

Now, According to question,

X + Y = 32 (sum of their ages) .......(1)

Y = 32 - X

(X + 5) = 2 (Y + 5) .......(2)

Substituting the value of Y in (2)

X + 5 = 2 (32 - X + 5)

X + 5 = 2 (37 - X )

X + 5 = 74 - 2X

3X = 69

X = 69/3 = 23

Now ∵ Y = 32 - X and X = 23

∴ Y = 32 - 23 = 9

So, In 1997, Tim's age = 23 years and Sue's age = 9 years.

Let the year in which Sue's age will be three-fourth times of Tim's age be t.

Sue's age after t years = (9 + t) years.

Tim's age after t years = (23 + t) years

According to question,

$(9 + t) = \frac{3}{4} \times(23 + t)$

$4 (9 + t) = 3 (23 + t)$

$36 + 4t = 69 + 3t$

$4t - 3t = 69 - 36$

$t = 33$

The Year in which Sue's age will be three-fourth times of Tim's age is:

= (1997 + 33) = 2030.

4 0

4 years ago