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3 years ago

18. One number is 3 less than a second number. Twice the second number is 12 more than 3 times the first.

Mathematics

1 answer:

bekas [8.4K]3 years ago

4 0

Answer: The numbers are -3 and - 6

Step-by-step explanation:

Let the first number be x and the second number be y , then from the first statement we have

x + 3 = y ............. equation 1

From the second statement

2y = 3x + 12 ............ equation 2

solving the resulting simultaneous equation by substitution method ,we have:

substitute x - 3= y into equation 2 , we have

2( x + 3) = 3x + 12

2x + 6 = 3x + 12

2x - 3x = 6

x = -6

substitute x = - 6 into equation 1 , that is

- 6 + 3 = y

Therefore ,

y = -3

2y = 3y + 3

Check:

x + 3 = y , implies

-6 + 3 = -3 = y

Also 2y = 3x + 12 , implies

2(-3) = -6

3(-6) + 12 = -6

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SVETLANKA909090 [29]

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

A report by the US Geological Survey indicates that glaciers in Glacier National Park, Montana, are shrinking. Recent estimates

postnew [5]

Answer

a) C

b) B

c) C, E

d) 15.5

e) 0.7

f) 67.7

Step-by-step explanation

a) A linear equation can be written as $y=mx+c$ where $m$ is the slope and $c$ is the intercept on the $y$ -axis. The slope describes how $y$ changes when $x$ changes. A negative value means the it is a decreasing change. In our case, $y$ is $A$ and $x$ is $t$ . Thus, the slope of the equation is $m=-0.062$ . This means that the area of glacier is decreasing by $0.062 \text{km}{}^2 = 62000 \text{m}{}^2$ every year since 2000.

b) The $A$ -intercept (= 16.2 $\text{km}{}^2$ ) represents the area covered when $t=0$ . But $t=0$ starting from year 2000. This intercept then represents the area covered by glacier in the year 2000. Therefore, the area covered by glacier in 2000 was 16.2 $\text{km}{}^2$ .

c) $A=f(t)$ means the area covered after year 2000. Setting it to 12 means the area covered after $t$ years is 12 $\text{km}{}^2$ ). $t$ is therefore the number of years since 2000 that the total area covered will be 12 $\text{km}{}^2$ ).

d) $f(12)=16.2−0.062\times12 =16.2-0.744 = =15.456 15.5 \text{km}{}^2$ to 1 decimal place.

e) The term involving $t$ represents the disappearing area. In 12 years, the disappeared area is $0.062\times12=0.744 =0.7 \text{km}{}^2$ to 1 decimal place.

f) $f(t)=16.2−0.062t =12$

$0.062t = 16.2-12 = 4.2$

$t = \dfrac{4.2}{0.062}=67.7419\ldots =67.7$ years to 1 decimal place.

8 0

3 years ago

Hi so this question is super confusing! I can't even figure it out

frutty [35]

Answer:

i think it's n/2 may be even and 3n+1 is odd. They succumb to 3n if that helps.

Step-by-step explanation:

hope it helps, have a good day/night

6 0

2 years ago

I need to find measure of angle "u" m

garik1379 [7]

Answer:

30°

Step-by-step explanation:

TW UV

If an ARC subtends an angle in the circle (on the opposite side of the circumference), the measure of that angle will be HALF of the Arc. In other words, the Arc's measure will be DOUBLE of that angle.

The measure of the angle would be SAME if the angle subtended in the center of the circle, thought.

Now, looking at the image, we can see that:

Arc TW subtends Angle V and Angle U

*on the opposite side of the circumference*

So,

Angle V (measure given to be 30) is HALF of Arc TW, so

Arc TW = 2 * 30 = 60

So, Angle U is half of Arc TW

60/2 = 30

Hence,

7 0

3 years ago