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Bad White [126]

3 years ago

14

The sum of the distances two hikers walked is 53mi, and the difference is 25mi. What are the distances? Use a system of equation

s to solve

2 answers:

sdas [7]3 years ago

8 0

A+b=53
a-b=25

2a=78
a=39

39+b=53
b=14

WINSTONCH [101]3 years ago

6 0

Answer:

39 and 14

Step-by-step explanation:

A + B = 53

A - B = 25

(Add the two equations together)

2A = 78

A = 78/2 = 39

B = 53 - 39 = 14

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Zolol [24]

Answer: The 2nd one on your right

Step-by-step explanation:

8 0

3 years ago

Two certificates of deposit pay interest that differ by 3%. Money invested for one year in the first CD earns $240 interest. The

Soloha48 [4]

a = interest rate of first CD

b = interest rate of second CD

and again, let's say the principal invested in each is $X.

$\bf a-b=3\qquad \implies \qquad \boxed{b}=3+a~\hfill \begin{cases} \left( \frac{a}{100} \right)X=240\\\\ \left( \frac{b}{100} \right)X=360 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{a}{100} \right)X=240\implies X=\cfrac{240}{~~\frac{a}{100}~~}\implies X=\cfrac{24000}{a} \\\\\\ \left( \cfrac{b}{100} \right)X=360\implies X=\cfrac{360}{~~\frac{b}{100}~~}\implies X=\cfrac{36000}{b} \\\\[-0.35em] ~\dotfill\\\\$

$\bf X=X\qquad thus\qquad \implies \cfrac{24000}{a}=\cfrac{36000}{b}\implies \cfrac{24000}{a}=\cfrac{36000}{\boxed{3+a}} \\\\\\ (3+a)24000=36000a\implies \cfrac{3+a}{a}=\cfrac{36000}{24000}\implies \cfrac{3-a}{a}=\cfrac{3}{2} \\\\\\ 6-2a=3a\implies 6=5a\implies \cfrac{6}{5}=a\implies 1\frac{1}{5}=a\implies \blacktriangleright 1.2 = x\blacktriangleleft$

$\bf \stackrel{\textit{since we know that}}{b=3+a}\implies b=3+\cfrac{6}{5}\implies b=\cfrac{21}{5}\implies b=4\frac{1}{5}\implies \blacktriangleright b=4.2 \blacktriangleleft$

3 0

3 years ago

How do I solve 1.25÷30

Shtirlitz [24]

Calculator lolololol nah joking first

5 0

3 years ago

Read 2 more answers

Brianna’s family spent $134 on 2 adult tickets and 3 youth tickets at an amusement park. Max’s family spent $146 on 3 adult tick

love history [14]

Let
x:adult tickets
y:youth tickets
We have
2x+3y=134
3x+2y=146
Rewritting
6x+9y=402
-6x -4y=-292
adding
5y=110
Clearing y:
y=110/5
y=22
Answer:
the price of a youth ticket is 22$

5 0

3 years ago

Water is leaking out of a tank at a steady rate the tank started with 75 gallons after 15 hours the tank has 33 gallons of water

Natasha_Volkova [10]

Answer:

The equation will be " $y=-2.8 x+75$ ".

Step-by-step explanation:

The given values are:

Started with,

= 75 gallons

After 15 hrs,

Tank has,

= 33 gallons

Now,

The slope will be:

= $\frac{33-75}{15}$

= $\frac{-42}{15}$

= $-2.8$

Thus,

The equation is " $y=-2.5x+75$ ".

5 0

3 years ago