Ask question

Ask question

All categories

3 years ago

8

Please help!! A scale on a hiking map shows at 3 inches represents 1.25 miles. What number of inches on the map represents 10 ac

tual miles?

1 answer:

Semenov [28]3 years ago

5 0

Answer:

24 miles

Step-by-step explanation:

Set up a proportion:

3 inches/1.25 miles = x inches/10 miles

Then cross multiply

30=1.25x

Divide 1.25 on both sides

x=24

You might be interested in

F(x)=16x^4-81=0 select all zeros of the function !!!

atroni [7]

Answer:

3/2, -3/2, (if it is asking for imaginary solutions as well then 3i/2 and -3i/2)

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is the incorrect rounding for 53.864

Alex17521 [72]

If you round the 6. Or if they ask u to round the tenth place or ones place and do the opposite or something else

6 0

3 years ago

Graph and label the image of the figure below after a dilation by a factor of 1/2.

neonofarm [45]

Answer:

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

see graph below

Explanation:

Given:

The image of a quadrilateral on a coordinate plane

To find:

The coordinates of the new image after dilation of 1/2 have been applied to the original image.

Then graph the coordinates

First, we need to state the coordinates of the original image:

M = (3, -2)

F = (4, -2)

L = (1, -5)

W = (5, -5)

Next, we will apply a scale factor of 1/2:

$\begin{gathered} Dilation\text{ rule:} \\ (x,\text{ y\rparen}\rightarrow(kx,\text{ ky\rparen} \\ where\text{ k = scale factor} \\ \\ scale\text{ factor = 1/2} \\ M^{\prime}\text{ = \lparen}\frac{1}{2}(3),\text{ }\frac{1}{2}(-2)) \\ M^{\prime}\text{ = \lparen}\frac{3}{2},\text{ -1\rparen} \\ \\ F\text{ = \lparen}\frac{1}{2}(4),\text{ }\frac{1}{2}(-2)) \\ F^{\prime}\text{ = \lparen2, -1\rparen} \end{gathered}$ $\begin{gathered} L\text{ = \lparen}\frac{1}{2}(1),\text{ }\frac{1}{2}(-5)) \\ L^{\prime}\text{ = \lparen}\frac{1}{2},\text{ }\frac{-5}{2}) \\ \\ W\text{ = \lparen}\frac{1}{2}(5),\text{ }\frac{1}{2}(-5)) \\ W^{\prime}\text{ = \lparen}\frac{5}{2},\text{ }\frac{-5}{2}) \end{gathered}$

The new coordinates:

M' (3/2, -1), F' (2, -1), L' (1/2, -5/2), W' (5/2, -5/2)

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

Plotting the coordinates:

3 0

1 year ago

Element X is a radioactive isotope such that every 9 years, its mass decreases by half. Given that the initial mass of a sample

4vir4ik [10]

Answer:

2.9 years

Step-by-step explanation:

Given that :

Half-life t1/2 = 9 years

Initial mass = I = 70 grams

A = final mass = 56 grams

t = time taken to reach final amount

Using the exponential half life relation :

A = I(0.5)^t/t1/2

56 = 70(0.5)^t/9

56/70 = 0.5^t/9

0.8 = 0.5^t/9

Log 0.8 = log 0.5^t/9

−0.096910 = −0.301029 * t/9

t/9 = 0.096910 / 0.301029

t/9 = 0.3219291

t = 0.3219291 * 9

t = 2.8973619

t = 2.9 years

5 0

3 years ago

The total number of gallons of water in a tank, w, after t minutes is given in this table and the plot.

Katyanochek1 [597]

The equation showing the relationship between w and t is $w = 4t$

From the table, we have the following points:

(0,0) and (1,4)

Start by calculating the slope (m)

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

So, we have:

$m = \frac{4 -0}{1 -0}$

Simplify the numerator and the denominator

$m = \frac{4}{1}$

Divide 4 by 1

$m = 4$

The equation is then calculated as:

$w = m(t - t_1) + w_1$

This gives

$w = 4(t - 0) + 0$

Simplify

$w = 4t$

Hence, the equation is $w = 4t$

Read more about linear equations at:

brainly.com/question/14323743

4 0

3 years ago