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2 years ago

Question 4 of 5

1 answer:

8 0

Your answer would be “One solution”
Explanation:
You can switch what you do with the - 4
You can do
8 + 6 - 4 which is 10
Or
8 - 4 + 6 which would still give us 10

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Mr. Monasterio ran to the store for burritos at 4 miles per hour. On the way back, he increased his speed to 6 miles per hour. I

sveticcg [70]

Answer:

It took 1.2 hours to get to the store

Step-by-step explanation:

Let the time taken to reach the store be t₁

Let the time taken to come back be t₂

Let the speed to and from store = s₁ and s₂ respectively

let the distance to the store = d

To the store:

$speed = \frac{distance}{time} \\s = \frac{d}{t_1} \\t_1 = \frac{d}{s_1}\\t_1 =\frac{d}{4} - - - - - (1)$

Back from the store:

$s_2 = \frac{d}{t_2} \\t_2 = \frac{d}{s_2}\\where:\\s_2 = 6\ miles\ per\ hour\\t_2 = \frac{d}{6} - - - - - - (2)$

We are told that total time (t₁ + t₂) = 2 hours

t₁ + t₂ = eqn (1) + eqn (2)

$\frac{d}{4} + \frac{d}{6} = 2\\Multiplying\ through\ by\ 12:\\3d\ +\ 2d\ =\ 24\\5d = 24\\d = \frac{24}{5} \\d = 4.8\ miles$

∴ length of trip to the store = t₁

from eqn (1)

$t_1 = \frac{d}{4} \\t_1 = \frac{4.8}{4} \\t_1 = 1.2\ hours$

7 0

3 years ago

Line FG goes through the points (4,9) and (1,3). Which equation represents a line that is perpendicular to FG and passes through

stiks02 [169]

Answer:

$x + 2y= 2$

Step-by-step explanation:

Given

Points:

$F = (4,9)$

$G = (1,3)$

Required

Determine the equation of line that is perpendicular to the given points and that pass through $(2,0)$

First, we need to determine the slope, m of FG

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$F = (4,9)$ --- $(x_1,y_1)$

$G = (1,3)$ --- $(x_2,y_2)$

$m = \frac{3 - 9}{1 - 4}$

$m = \frac{- 6}{- 3}$

$m =2$

The question says the line is perpendicular to FG.

Next, we determine the slope (m2) of the perpendicular line using:

$m_2 = -\frac{1}{m}$

$m_2 = -\frac{1}{2}$

The equation of the line is then calculated as:

$y - y_1 = m_2(x - x_1)$

Where

$m_2 = -\frac{1}{2}$

$(x_1,y_1) = (2,0)$

$y - 0 = -\frac{1}{2}(x - 2)$

$y = -\frac{1}{2}(x - 2)$

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

Multiply through by 2

$2y = -x + 2$

Add x to both sides

$x + 2y= -x +x+ 2$

$x + 2y= 2$

Hence, the line of the equation is $x + 2y= 2$

8 0

2 years ago

Read 2 more answers

Find the volume of the cylinder height= 3.5cm and radius=2cm

Ivahew [28]

Answer:

Step-by-step explanation:

v = πr²h = π·2²·3.5 = 14π cm³ ≅ 44 cm³

4 0

2 years ago

1/3X+1/4y=1,2X-30 what is the value of y

AVprozaik [17]

Y= 4 (- x/3 + 1, 2x (-30))

6 0

2 years ago

Read 2 more answers

Each hotdog cost $1.50 and sodas cost $.50. At the end of the day you made a total of $78.50.You sold a total of 87 hot dogs and

Bond [772]

Answer:

The number of hot dogs sold was 35 and the number of sodas sold was 52

Step-by-step explanation:

Let

x ----> the number of hot dogs sold

y ----> the number of sodas sold

we know that

$x+y=87$

$x=87-y$ ----> equation A

$1.50x+0.50y=78.50$ ----> equation B

Solve the system by substitution

substitute equation A in equation B

$1.50(87-y)+0.50y=78.50$

solve for y

$130.50-1.50y+0.50y=78.50$

$1.50y-0.50y=130.50-78.50$

$y=52\ sodas$

<em>Find the value of x</em>

$x=87-52=35\ hot dogs$

therefore

The number of hot dogs sold was 35 and the number of sodas sold was 52

7 0

3 years ago