3/4 X plus X -5 equals 10+ 2X

jon's car can travel an average of 35 miles per gallon. How many gallons will he need for a trip of 656 miles?

I am Lyosha [343]

Answer:

19 gallons

Step-by-step explanation:

We divide the total distance by the distance per gallon: 656/35. We get 18.74..., so Jon would need 19 gallons to travel 656 miles.

3 0

3 years ago

Suppose f is an exponential function and:

Nastasia [14]

Answer: a) $b= p(1 + r)^1$ b) $c= p(1 + r)^n$ c) $d= p(1 + r)^m$ d) $b^n=c$

Step-by-step explanation:

Since f is an exponential function.

So, it is expressed as

$f = p(1 + r)^$

Here f is the present value

p is the initial value

r is the rate of growth per time period

t is the time period.

(a) b represents the 1-unit growth factor for f.

$b= p(1 + r)^1$

(b) c represents the n n-unit growth factor for f.

$c= p(1 + r)^n$

(c) d represents the m m-unit growth factor for f.

$d= p(1 + r)^m$

Write a formula that expresses c in terms of b.

Since

$b=p(1+r)^1\\\\So,\\\\b=p(1+r)^{n\times \frac{1}{n}}\\\\b=(p(1+r)^n)^{\frac{1}{n}}\\\\b=c^{\frac{1}{n}}\\\\b^n=c$

Hence, a) $b= p(1 + r)^1$ b) $c= p(1 + r)^n$ c) $d= p(1 + r)^m$ d) $b^n=c$

8 0

3 years ago

100 students attended a revision lesson at the weekend.

solniwko [45]

Answer:

I am pretty sure its 30 students

4 0

3 years ago

A pretzel stick measures 6 inches in length Mr Bates just took a bite of it and now it is 35% smaller Which of the following exp

frez [133]

Answer: B.

Step-by-step explanation: Mr. Bates made the pretzel 35% SMALLER. That means that the remains of the pretzel is 65% of the original 100% of the pretzel. Therefore, the answer is B.

4 0

3 years ago

Read 2 more answers

Need some help with these problems!

LekaFEV [45]

Answer:

Step-by-step explanation:

<u>System of Linear Equations </u>

We have 3 unknown variables and 3 conditions between them. They form a set of 3 equations with 3 variables.

We have the following data, being

w = price of a sweatshirt

t = price of a T-shirt

h = price of a pair of shorts

19.

The first condition states the price of a sweatshirt is twice the price of a pair of shorts. We can write it as

$\displaystyle w=2h$

The second condition states the price of a T-shirt is $4 less than the price of a pair of shorts. We can write it as

$\displaystyle t=h-4$

The final condition states Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 T-shirts for $136, thus

$\displaystyle 3w+2h+5t=136$

This is the system of equations we need to solve for w,t,h

20.

To solve the system, we replace w in terms of h and t in terms of h. Those relations have been already written, so

$\displaystyle 3(2h)+2h+5(h-4)=136$

Operating

$\displaystyle 6h+2h+5h-20=136$

$\displaystyle 13h=156$

Solving for h

$\displaystyle h=12$

The other two variables are

$\displaystyle w=2h=24$

$\displaystyle t=12-4=8$

4 0

3 years ago