Ask question

Ask question

All categories

2 years ago

7

Eric and Shiloh each have a savings account. The ratio of Eric’s account balance to Shiloh’s account balance is 4:3. Together th

ey have a total of $140 in their accounts. In the tape diagram below, how much money does each bar represent?

1 answer:

xenn [34]2 years ago

3 0

Answer:

$20

Step-by-step explanation:

Look at the picture attached below.

Hope this helps :)

Have a great day!

You might be interested in

What type of correlation would you expect to see between the number of purchased and the amount of money saved?

goblinko [34]

A negative correlation

5 0

3 years ago

Simplify (write without the absolute value sign):<br> 120+x, if x <- 120

Alexeev081 [22]

Answer: - x - 120

Explanation: You want to find the opposite of (120-x) not just x, so you just put the negative symbol next to both the variables.

8 0

3 years ago

Given f(x) = 3x+7, what is the output? *

sergij07 [2.7K]

Answer:

the answer to this problem would be 8.

3 0

3 years ago

Read 2 more answers

For the two right triangles above, explain why a/8=x/12 . What trigonometric ratio is also equal to the two given ratios?

frutty [35]

Answer:

sin trigonometry ratio

Step-by-step explanation:

Given

See attachment for triangles

Required

Explain why $\frac{a}{8} = \frac{x}{12}$

From the attached diagram, both triangles are similar triangles because

(1) the second triangle is a dilation of the first triangle by a ratio of 1.5

i.e

$k = \frac{12}{8}$

$k = 1.5$

(2) They have angle 30 degrees, and have their right angles located at the same point

In the first triangle, the sine of 30 degrees is represented as:

$sin(30) = \frac{Opp}{Hyp}$

This gives:

$sin(30) = \frac{a}{8}$

In the second triangle:

$sin(30) = \frac{Opp}{Hyp}$

So:

$sin(30) = \frac{x}{12}$

By comparison:

$sin(30) = sin(3)$

Hence:

$\frac{a}{8} = \frac{x}{12}$

8 0

2 years ago

Dimensional Analysis

Firlakuza [10]

Answer:

$5.058 USD/gal
$60.70 USD to fill the tank

Step-by-step explanation:

You want to know the cost per gallon of gas and the cost for 12 gallons of gas when the cost per liter is $1.31 CDN and the exchange rate is $1.02 USD per CAD.

<h3>Cost per gallon</h3>

The conversion between liters and gallons is ...

1 US gallon = 3.785411784 liters (exactly)

Then the cost conversion is ...

$\dfrac{\$1.31\text{ CAD}}{1\text{ L}}\times\dfrac{3.785411784\text{ L}}{1\text{ gal}}\times\dfrac{\$1.02\text{ USD}}{\$1.00\text{ CAD}}\approx\boxed{\$5.058\text{ USD/gal}}$

The cost per gallon in terms of US dollars is about $5.06.

<h3>Cost per tank</h3>

The cost for 12 gallons will be ...

(12 gal)×($5.058 /gal) ≈ $60.70

It will cost you $60.70 to fill your 12 gallon tank.

__

<em>Additional comment</em>

The price of gas is routinely specified to tenths of a cent, both in the US and in Canada. As of today, the cost of gas in Canada has declined to $1.864 CAD/liter. At today's exchange rate of about $0.77 USD per CAD, the equivalent price is $5.406 USD/gal.

8 0

1 year ago