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3 years ago

9

For a camping trip, three scoutmasters are each driving a portion of the 150 miles to campground mr. Jimenez drives 3/10 of the

distance mr robertson drives 2/5 of the distance how many miles are left for mr. Weatherly you drive

1 answer:

babymother [125]3 years ago

4 0

Answer:

45 miles

Step-by-step explanation:

Jimenez drives 3/10 of the distance: (3/10)(150 miles) = 45 miles.

Mr. Robertson drives 2/5 of the distance: (2/5)(150) = 60 miles.

These two people drive 105 miles total.

Mr. Weatherly drives the rest: (150 miles - 105 miles) = 45 miles.

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Let f(x) represent a function.

STatiana [176]

Answer:

For $f(x+\frac{5}{4})$ , $f(x)$ is translated $\frac{5}{4}$ units left.

For $f(x)-\frac{5}{4}$ , $f(x)$ is translated $\frac{5}{4}$ units down.

Step-by-step explanation:

The transformation of $f(x)\rightarrow f(x+C)$ means that the graph shift to left by C units if C is positive number and shifts to right by C units if C is a negative number.

The transformation of $f(x)\rightarrow f(x)+C$ means that the graph shifts up by C units if C is positive number and shifts down by C units if C is a negative number.

Here, in the transformation of $f(x)\rightarrow f(x+\frac{5}{4}),C = \frac{5}{4}>0$ , so, the function translates left by $\frac{5}{4}$ units.

Similarly, in the transformation of $f(x)\rightarrow f(x)-\frac{5}{4},C = -\frac{5}{4}$ , so, the function translates down by $\frac{5}{4}$ units.

3 0

3 years ago

Farmer Company purchased equipment on January 1, Year 1 for $82,000. The equipment is estimated to have a 5-year life and a salv

aalyn [17]

Answer:

option (a) $6,240

Step-by-step explanation:

Given:

Purchasing cost of the equipment = $82,000

Estimated life = 5 years

Salvage value = $4,000

Revised expected life = 8 years

Now,

Depreciation per year = $\frac{\textup{82,000-4,000}}{\textup{5}}$

therefore,

The accumulated Depreciation at the beginning of year 4

= Annual depreciation × years passed

= 15,600 × 3

= $46,800

Thus,

The book value at the beginning of year 4

= Purchasing cost - Depreciation

= $82,000 - $46,800

= $35,200

Now,

The remaining life = Revised estimated life - Years passed

= 8 - 3

= 5 years

therefore,

Depreciation expense = $\frac{\textup{book value at the beginning of year 4 - salvage value}}{\textup{Revised estimated life}}$

= $\frac{\textup{35,200 - 4000}}{\textup{5}}$

= $6,240

Hence,

The correct answer is option (a) $6,240

7 0

3 years ago

Cada caja contiene el mismo número de cuadernos. Si Mario transporta 120 cuadernos en total en una carretilla, ¿cuántos cuaderno

DIA [1.3K]

Answer:

Se almacena un cuaderno por caja, significando 120 cuadernos en 120 cajas iguales.

Step-by-step explanation:

A partir del enunciado, podemos calcular el número de cuadernos por caja al dividir el total de cuadernos en la carretilla por el número de cajas disponibles.

$x = \frac{120\,cuadernos}{120\,cajas}$

$x = 1\,\frac{cuadernos}{caja}$

Se almacena un cuaderno por caja, significando 120 cuadernos en 120 cajas iguales.

3 0

3 years ago

Match each as either linear or non-linear. HELP

Virty [35]

Answer:

<u>Linear</u>

y=-x

$y = \frac{x}{9}$

$- \frac{2}{3}x + 3y = 1$

<u>Non linear</u>

$y = \frac{4}{x}$

$\frac{2}{y} = x$

${x}^{2} + {y}^{2} = 1$

Step-by-step explanation:

Linear equations have the highest degree to be 1.

Therefore y=-x is linear.

$y = \frac{x}{9} \: is \: also \: linear.$

$y = \frac{4}{x} \implies \: xy = 4$

The degree of this equation is 2.

It is non-linear

$- \frac{2}{3}x + 3y = 1$

is also linear.

$\frac{2}{y} = x \implies \: xy = 2....non - linear$

${x}^{2} + {y}^{2} = 1.....non - linear$

7 0

3 years ago

What would the answer be for this equation 7x/20 - 5x/12

polet [3.4K]

Answer:

$\frac{1}{15} x$

Step-by-step explanation:

$\frac{7x}{20} - \frac{5x}{12}$

$\frac{3 \times 7x}{3 \times 20} - \frac{5 \times 5x}{5 \times 12}$

$\frac{21x}{60} - \frac{25x}{60}$

$\frac{21x - 25x}{60} = (21 - 25)x = - 4x$

$\frac{ - 4x}{60} = - \frac{ x}{15}$

$\boxed{\green{= \frac{1}{15} x}}$

4 0

2 years ago