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3 years ago

The temperature drops 35 degrees Fahrenheit in 7 hours. How much does the temperature fall per hour?

Mathematics

1 answer:

prohojiy [21]3 years ago

7 0

Answer:

The temperature drops by 5 degrees each hour.

Step-by-step explanation:

35/7=5 degrees dropped per hour.

Hope it helps!:)

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Kyle has a rock collection.On monday he found 16 new rocks. On Tuesday he give 9 rocks to his friends. After giving away the roc

sergey [27]

the answer is 155 hope this helps

5 0

3 years ago

Read 2 more answers

What is the solution of the system?

Kryger [21]

Greetings!

Solve the System, using Elimination:
$\left \{ {{4x+2y=18} \atop {2x+3y=15}} \right.$

Multiply Equation #2 by 2:
$\left \{ {{4x+2y=18} \atop {2(2x+3y)=2(15)}} \right.$

$\left \{ {{4x+2y=18} \atop {4x+6y=30}} \right.$

Eliminate variable x:
$-\frac{ \left \{ {{4x+2y=18} \atop {4x+6y=30}} \right.}{0x-4y=-12}$

$4y=-12$

Divide both sides by 4:
$\frac{4y}{4}= \frac{12}{4}$

$y=3$

Input this value into one of the Equations:
$4x+2y=18$

$4x+2(3)=18$

Simplify:
$4x+6=18$

$(4x+6)+(-6)=(18)+(-6)$

$4x=12$

Divide both sides by 4.
$\frac{4x}{4}= \frac{12}{4}$

$x=3$

The Solution to this System (The Point of Intersection):
$\boxed{(3,3)}$

I hope this helped!
-Benjamin

7 0

3 years ago

Which expression is equivalent to 50 – 40 - 2?

Virty [35]

Answer: = 8

Step-by-step explanation: Hope this help :D

3 0

4 years ago

Evaluate the expression - |7-9|

timama [110]

Answer: -2

Step-by-step explanation: As our first step, we simplify inside the absolute value. 7 - 9 is -2 so we have -|-2|.

A common mistake at this point in the problem is to change the minus a negative to plus a positive but don't fall into this trap.

We must ignore the negative outside the absolute value until our very last step in this problem.

So we take the absolute value of -2 which is 2 and we have -(2) or -2.

Notice that I used parentheses around the 2 as it comes out of the absolute value.

5 0

4 years ago

NEED HELP AND QUICKKK!!!!!!!!!!!!

Montano1993 [528]

Answer:

(5). $Finial\ amount(A)=\$3619.80$

(6). $a=5,\ b=0.5$

(7). $A=33236$

Step-by-step explanation:

(5).

$Monthly\ compound\ interst\ is\ given\ by\\\\A=P\left(1+\frac{r}{n}\right)^{nt}\\\\Where\ A= Final\ amount\\\\P= Initial\ amount\\\\r=annual\ interest\ rate\\\\n=number\ of\ times\ interest\ is\ compounded\ per\ unit\\\\t=time\ in\ year\\\\Given,\\\\Initial\ amount\ (P)=\$ 3500\\\\annual\ interest\ rate\ (r)=6.75\%\\\\t=6\ month=\frac{1}{2}\ year\\\\n=12\\\\A=3500\left(1+\frac{6.75}{12\times 100}\right)^{\frac{1}{2}\times 12}\\\\A=3500\left(1+0.005625\right)^6\\\\A=3500(1.005625)^6\\\\$

$A=3500\times 1.03422818\\\\A=\$3619.80$

(6).

$Exponential\ decay\ formula\ is\ given\ by\\\\y=a(1-b)^x\\\\Where\ (a)\ is\ initial\ amount\ and\ (b)\ is\ decay\ factor\\\\Given,\\\\y=5\times(0.5)^x\\\\y=5\times(1-0.5)^x\\\\compare\ with\ exponential\ decay\ formula\\\\a=5,\ b=0.5$

(7).

$Given,\\\\Initial\ population=45000\\\\annual\ decrease=2\%\\\\n=15\ years\\\\ Decrease\ population\ is\ given\ by\\\\A=P\left(1-\frac{r}{100}\right)^n\\\\Where\ P\ is\ initial\ population\ r\ is\ decrease\ rate\ and\ n\ is\ number\ of\ years\\\\A=45000\left(1-\frac{2}{100}\right)^{15}\\\\A=45000(0.98)^{15}\\\\A=45000\times 0.738569\\\\A=33235.60\\\\A\approx 33236$

3 0

4 years ago