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3 years ago

9

In 1980,in Great Falls, Montana, temperature rose from -32 Fahrenheit to 15 Fahrenheit in seven minutes.How much did the tempera

ture increase?

1 answer:

masya89 [10]3 years ago

3 0

The temperature rose by 47 degrees Fahrenheit, because it first went from -32 to 0, and then from 0 to 15.

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You invest $40,000 in two funds paying 4% and 52% simple interest. The total annual interest is $2080. How much do you invest in

natali 33 [55]

9514 1404 393

Answer:

4% fund: $39,000
52% fund: $1000

Step-by-step explanation:

Let x represent the amount invested at 52%. Then (40000-x) is the amount invested at 4%. The total annual interest is ...

0.52x +0.04(40000-x) = 2080

0.48x = 480 . . . . . . . . . subtract 1600, simplify

x = 1000 . . . . . . . . . divide by 0.48

Then the amounts invested in each fund are ...

4% fund: $39,000

52% fund: $1000

6 0

3 years ago

How do you solve this?

puteri [66]

Answer:

Width: 7

Length: 14

Step-by-step explanation:

The area of a rectangle can be found my multiplying the length by the width. We do not know neither the length nor the width. However, we do know that the length is 7 feet longer than the width. Because we do not know the value of either side, let's let $x$ represent the width.

Since the length is 7 feet longer, we can represent the length by $x+7$ .

Now that we have our values for the length and the width we can multiply them together to find our area.

$(x)(x+7)=x^{2} +7x$

Now we have our equation, so we can address the changes made by the original question. The original question states that when 7 is added to both the length and width the area becomes 3 times larger. To do so simply increase each side by 7 by adding 7 to the original values.

$(x+7)(x+14)$

And multiply our area by 3.

$3(x^{2} +7x)$

set these equal to each other to find your new equation.

$(x+7)(x+14)=3(x^{2} +7x)$

Now you need to solve for $x$ . To do this first muliply $(x+7)$ and $(x+14)$ .

$(x+7)(x+14)=\\x^{2} +14x+7x+98=\\x^{2} +21x+98$

Then multiply $3(x^{2} +7x)$

$3(x^{2} +7x)=\\3x^{2} +21x$

Now you can begin solving for $x$ .

$x^{2} +21x+98=3x^{2} +21x$

Subtract $x^{2}$ from both sides.

$21x+98=2x^{2} +21x$

Subtract $21x$ from both sides.

$98=2x^{2}$

Divide by 2.

$49=x^{2}$

And finally take the sqaure root of both sides.

$\sqrt{x^{2} }=\sqrt{49}\\x=7$

Remember, because we are dealing with length, there cannot be negative. So while normally we would get both +7 <em>and</em> -7, in this case we <em>only </em>get +7.

Now that we have the value of $x$ , we can plug it into our original values.

For width we simply get 7.

For length we get 7+7=14

To check our answer we cna multiply 7 by 14 to get 98. Then we can add 7 to our length and width to get 14 and 21. Multiply these together and we get 294. 294 divided by 3 is 98, proving our answer correct.

7 0

3 years ago

The fish Anastasia caught was Plz Help ASAP 20 POINTS

s344n2d4d5 [400]

difference= 0.78[Anastasia's] - (1 - 0.34)[Sergei's]=

0.78m - (0.66m)=0.12m=12cm

6 0

3 years ago

Read 2 more answers

4.<br> Which equation in point-slope form contains the point (-3, 5) and has slope -1?<br> 100%

Flura [38]

ʕ•ﻌ•ʔ $\huge\bold\pink{hello!!!}$ ʕ•ﻌ•ʔ

HERE IS UR ANSWER

_____________________

(x-(-3)) = -1(y-5)

(x+3)= -y+5

x+y+3-5=0

x+y-2=0

3 0

3 years ago

Write a function rule for the relationship. the amount c of energy you burn and the time t you spend exercising, if you burn Cal

gregori [183]

Answer:

c= 12t

c is the amount of energy you burn, so it'll be the "solution" to the equation. Multiply 12 times the amount of time you spend exercising to find how much energy you'll burn.

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3 years ago