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allochka39001 [22]
3 years ago
11

Thanks pick up can travel 95 miles on 5 gallons of gas. How many gallons will Hanks pick up need to travel 76 miles?

Mathematics
1 answer:
kati45 [8]3 years ago
3 0

Answer:

4 gallons

Step-by-step explanation:

We can write a ratio to solve

95 miles             76 miles

----------------- = -------------

5 gallons            x gallons

Using cross products

95 * x = 5 * 76

Divide each side by 95

x = 5 * 76 / 85

x =4

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frozen [14]
\bf \begin{cases}
h(x)=(f\circ g)(x)\\
h(x)=\sqrt{x+5}\\
f(x)=\sqrt{x+2}
\end{cases}\\\\
-------------------------------\\\\
(f\circ g)(x)\implies f[\ g(x)\ ]\implies f[\ g(x)\ ]=\sqrt{g(x)+2}\qquad thus
\\\\\\
\sqrt{g(x)+2}=(f\circ g)(x)=h(x)=\sqrt{x+5}\qquad therefore
\\\\\\
\sqrt{g(x)+2}=\sqrt{x+5}\impliedby \textit{squaring both sides}\\\\\\
g(x)+2=x+5\implies g(x)=x+5-2\implies \boxed{g(x)=x+3}
8 0
3 years ago
Mr. Cornapple is the fruit & vegetable buyer for a large school district. In a given week, he has a budget of $6,550. Bushel
Nina [5.8K]

Answer:

40x + 30y ≤ 6,550

Step-by-step explanation:

Given:

Cost of each apple bushels = $40

Cost of each corn bushels = $30

Total budget = $6,550

Find:

Inequality

Computation:

Assume;

Total number of apple bushels = x

Total number of corn bushels = y

So,

40x + 30y ≤ 6,550

6 0
3 years ago
A building may fail by excessive settlement of the foundation or by collapse of the superstructure. Over the life of the buildin
patriot [66]

Answer:

0.1536

Step-by-step explanation:

The computation of probability that the building failure will occur over its life is shown below:-

P(building failure) is

P(ES \cup C)\\\\ = P(ES) + P(C) - P(ES\cap C)\\\\ = P(ES) + P(C) - P(ES) P (C | ES)\\\\ = 0.12 + 0.06 - 0.12 \times 0.22

now we will solve the above equation

= 0.18 - 0.0264

After solving the above equation we will get

= 0.1536

Therefore for computing the probability that the building failure will occur over its life we simply applied the above formula.    

3 0
3 years ago
Consider two circular swimming pools. Pool A has a radius of 34 feet, and Pool B has a diameter of 20.92 meters. Complete the de
77julia77 [94]

Answer:

The diameter of pool a is 10.37 (34 × 0.305)

Pool B is greater

The circumference of pool B is greater

The area of pool B is 65.7221183130984ft

The area of pool a is

32.5783158177261ft

65.7221183130984 - 32.5783158177261=

Pool Bs area is 33.143802ft² bigger

4 0
3 years ago
Solve for x radical forms
vova2212 [387]

Answer:

in right angled triangle ABC

by using Pythagoras law

h²=p²+b²

x²=7²+10²

x=√149=12.21cm

8 0
3 years ago
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