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3 years ago

Four gallons of gas cost $16.80. what is the unit rate?

Mathematics

1 answer:

SashulF [63]3 years ago

4 0

1 gallon is $4.20
16.80/5=4.20

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A sales person earns a commission based on the number and type of vehicle sold. A person selling 6 cars and 3 trucks earns 4,800

AURORKA [14]

Assign variables to you unknowns.

c = $ cars
t = $ trucks

6c + 3t = 4800
8c + t = 4600

use substitution or elimination to solve the system of equations.

using elimination.. multiply second equation by -3 and add to the other to combine equations into one.

6c + 3t = 4800
-3(8c + t = 4600)
---------------------------
-18c + 0 = -9000
c = 9000/18
c = 500 $

use this in one of the equations to find the cost of a truck.

8(500) + t = 4600
4000 + t = 4600
t = 4600 - 4000
t = 600 $

question asks
2(500) + 3(600) =
1000 + 1800 = 2800 $

3 0

3 years ago

Can someone help me I don't understand

MAVERICK [17]

Answer: C 75

Step-by-step explanation: time to distance is ratio 4:5 = 60:X

In 1min He walks 5/4

in 60mins He walks 5/4 ×60

6 0

2 years ago

Solve for x

Mademuasel [1]

Answer:

x = 9

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ ⇔ $a^{(m+n)}$

Given

$11^{x}$ = $11^{4}$ × $11^{5}$ = $11^{(4+5)}$ = $11^{9}$

Since the bases on both sides are common, then equate the exponents

x = 9

4 0

3 years ago

A person is watching a boat from the top of a lighthouse. The boat is approaching

Lapatulllka [165]

9514 1404 393

Answer:

445.10 feet

Step-by-step explanation:

The relation between angle of depression and distance to the boat is ...

Tan = Opposite/Adjacent

tan(angle of depression) = (200 ft)/(distance to boat)

Then the distance to the boat is ...

distance to boat = (200 ft)/tan(angle of depression)

We want the change in distance between the two angles, so ...

change in distance = (200 ft)/tan(17°31') -(200 ft)/tan(46°41')

= (200 ft)(cot(17°31') -cot(46°41'))

change in distance ≈ 445.10 ft

7 0

3 years ago

Solve the equation : 8+10^x=1008

Marizza181 [45]

Hi there.

I'm just going to put the answer for now. I might come back and edit my answer if I figure out how to solve this the long way.

All I did was figure out what exponent you raise 10 to.

10³ = 1000

So, we now have 8 + 10³ = 1008

Edit:

I did it on paper - here it is broken down.

8 + $10^{x}$ = 1008

Subtract 8 from both sides.

$10^{x}$ = 1000

We know that 10³ = 1000

<em>x</em> = 3

~

7 0

3 years ago