I need help please????

Lian has $1.00. She has only nickels and dimes. Lian has twice as many dimes as nickels. How many dimes does she have?

Anna11 [10]

Answer: 8

Step-by-step explanation:

Given

Lian has $\$1.00$ and she has twice as many dimes as nickels

Suppose she has $x$ nickels

So, the number of dimes is $2x$

Nickel is equivalent to 5 cents and dime is equivalent to 10 cent

$\therefore \ x(0.05)+2x(0.1)=1\\\Rightarrow 0.05x+0.2x=1\\\Rightarrow 0.25x=1\\\Rightarrow x=4$

Therefore she has 8 dimes with her.

5 0

2 years ago

Inverse of y=14x2 show derivations

Rudik [331]

<h2>Answer:</h2>

$f^{-1} (x)=\sqrt{\frac{x}{14}}$ .

<h2>Step-by-step explanation:</h2>

<h3>1. Write the expression.</h3>

$y=14x^2$

<h3>2. Substitute y for x, and x for y.</h3>

$x=14y^{2}$

<h3>3. Solve for y.</h3>

$14y^{2}=x\\ \\y^{2} =\frac{x}{14} \\ \\y=\sqrt{\frac{x}{14}}$

<h3>4. Express your result.</h3>

$f^{-1} (x)=\sqrt{\frac{x}{14}}$ .

4 0

1 year ago

Help me guys! 50 points!

timama [110]

Answer:

The volume of the irregular figure would be 144 $cm^3$ .

Step-by-step explanation:

If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is $l*w*h$ , where $l$ , $w$ , and $h$ , represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be 12 * 3 * 3 = 12 * 9 = 108 $cm^3$ , and the volume of the smaller rectangular prism would be 4 * 3 * 3 = 12 * 3 = 36 $cm^3$ . So the volume of the entire irregular figure would be 108 + 36 = 144 $cm^3$ .

3 0

2 years ago

Read 2 more answers

A ferry needs to transport 2,232 people across the river. The ferry can take 31 people on each trip. How many trips will the fer

navik [9.2K]

Answer:

72 trips

Step-by-step explanation:

<em>Hey there!</em>

Well to find the amount of trips the ferry will need to take we'll do,

2232 ÷ 31 = 72

72 trips

<em>Hope this helps :)</em>

6 0

3 years ago

Read 2 more answers

List the following numbers in order from least to greatest. a) 3.5× 10/3 B) 3.5× 10-2 C) 5.3 × 10/3

Crazy boy [7]

Answer:

$3.5*10^{-2}, 3.5*10^3, 5.3*10^3$

B, A, C

Step-by-step explanation:

This is scientific notation. The numbers $3.5 * 10^3\\3.5 *10^{-2}\\5.3 * 10^3$ can be ordered least to greatest by looking at their digits and exponents. Since a -2 as an exponent is present, this means this is a small decimal and is the least. 3.5 and 5.3 have the same exponent of 3 but 5.3 is greater than 3.5 so its the greatest. The order is

$3.5*10^{-2}, 3.5*10^3, 5.3*10^3$

5 0

2 years ago