All categories

3 years ago

Phil has 3 times as many rocks as Peter. Together, they have 48 rocks. How many more rocks does Phil have than Peter?

1 answer:

8 0

$x-Peter's\ rocks\\3x-Phil's\ rocks\\\\x+3x=48\\4x=48\ \ \ \ \ \ |:4\\x=12\\3x=3\cdot12=36\\\\36-12=24\\\\Phil\ have\ 24\ more\ rocks\ than\ Peter.$

You might be interested in

Does the following systems produce an infinite number of solutions? -2x = -8 - 2y; -2y - 8= -2x

sertanlavr [38]

Hi!

<h3>Let's solve this. </h3><h3>First, subtract the 2nd equation from the first.</h3>

-2x = -2y - 8

- -2x = -2y - 8

----------------------

<h2>Yes, it does, because any value you use for x and y will be the correct answer. </h2>

Hope this helps! :)

-Peredhel

8 0

3 years ago

48% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually

oksian1 [2.3K]

Answer:

There is no sufficient evidence to support the executive claim

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.48$

The sample proportion is $\r p = 0.45$

The sample size is $n = 300$

The level of significance is $\alpha = 0.02$

The null hypothesis is $H_o : p= 0.48$

The alternative hypothesis is $H_a : p \ne 0.48$

Generally the test statistics is mathematically evaluated as

$t = \frac{\r p - p }{ \sqrt{ \frac{p(1 - p )}{n} } }$

=> $t = \frac{0.45 - 0.48 }{ \sqrt{ \frac{0.48 (1 - 0.48 )}{300} } }$

=> $t = -1.04$

The p-value is mathematically represented as

$p-value = 2P(z > |-1.04|)$

Form the z-table

$P(z > |-1.04|) = 0.15$

=> $p-value = 2 * 0.15$

=> $p-value = 0.3$

Given that $p-value > \alpha$ we fail to reject the null hypothesis

Hence we can conclude that there is no sufficient evidence to support the executive claim

5 0

3 years ago

A flute case is shaped like a rectangular prism. The caseis 5inches tall, 3 inches wide, and has a volume of 255 cubic inches

Anna [14]

Answer:

The length of the case is 17 inches.

Step-by-step explanation:

A flute case is shaped like a rectangular prism with dimensions:

height = 5 inches;
width = 3 inches;
length = x inches.

The volume of the case is 255 cubic inches.

Use formula for the volume of the rectangular prism:

$\text{Volume}=\text{Width}\times \text{Length}\times \text{Height}$

Thus,

$255=5\cdot x\cdot 3\\ \\255=15x\\ \\x=\dfrac{255}{15}=17$

The length of the case is 17 inches.

7 0

3 years ago

The height of a seat on a Ferris wheel can be modeled as H (t) = 48 sin (pi/30 t+ 3pi/2) + 53, where tis time in seconds and H(t

Sedaia [141]

Answer:

101ft

Step-by-step explanation:

the answer is in the above image

4 0

3 years ago

Put the following numbers in order from least to greatest 0.9, 0.35, 11/100, 7/10, 0.6, 0.21?

Orlov [11]

Answer:

11/100, 0.21, 0.35, 0.6, 7/10, 0.9

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers