Ask question

Ask question

All categories

3 years ago

10

joshua,steve,antonioare baking pie.joshua has 1/2 cups of flour, steve has 1 3/4 cups of flour ,and Antonio has 1 4/6 cups of fl

our . how may cups of flour do they have all together ?

1 answer:

photoshop1234 [79]3 years ago

7 0

Answer:

They all have 3 cups together.

Step-by-step explanation:

I added 1/2 plus 1 3/4 plus 1 4/6 on a calculator and got 3.91666666667

Basically 3.

You might be interested in

If the nucleus of an atom contains 12 protons, how many electrons are there in a neutral atom?

Cloud [144]

Answer:

An atom of sodium has 11 proton, 11 electrons, and 12 neutrons.

3 0

3 years ago

Read 2 more answers

Find the volume of the following compound shape.<br>

Bess [88]

<h3>Given:</h3>

Cone
Cylinder

<h3>Volume of the cone:</h3>

$v = \frac{1}{3} \pi {r}^{2} h$

$v = \frac{1}{3} \times \pi \times {10}^{2} \times 10$

$v = 1047.20 \: {cm}^{3}$

<h3>Volume of the cylinder:</h3>

$v = \pi {r}^{2} h$

$v = \pi \times {10}^{2} \times 10$

$v = 3141.59 \: {cm}^{3}$

<h3>Total volume:</h3>

$v = 1047.20 + 3141.59$

$v = 4188.79 \: {cm}^{3}$

<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>cone</u><u> </u><u>shape</u><u> </u><u>is</u><u> </u><u>4188.7</u><u>9</u><u> </u><u>cubic</u><u> </u><u>centimeters</u><u>.</u>

5 0

2 years ago

Read 2 more answers

Please help I am stuck on this

9966 [12]

Answer: B. y = 1/2x - 1

Explanation:
I know someone else already answered, but I wanted to explain why the answer is B.

Consider an equation of a line in slope-intercept form: y = mx + b

Since the line intersects the y-axis at -1, that’s the y intercept, or b. We know the slope of the line is positive because it slopes upward from left to right. From each whole number solution point, the line goes up one and two to the right. Slope, represented by m, is “rise” over “run”, or the change in y over the change in x. This makes the slope 1/2.

I hope this helps.

7 0

2 years ago

What is the answer to 4x²+7=31

Shtirlitz [24]

Answer: x2= 6

FYI: The x2 is x squared

Step-by-step explanation:

Simplifying

4x2 + 7 = 31

Reorder the terms:

7 + 4x2 = 31

Solving

7 + 4x2 = 31

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + 4x2 = 31 + -7

Combine like terms: 7 + -7 = 0

0 + 4x2 = 31 + -7

4x2 = 31 + -7

Combine like terms: 31 + -7 = 24

4x2 = 24

Divide each side by '4'.

x2 = 6

Simplifying

x2 = 6

3 0

3 years ago

Mrs.Steﬀen’s third grade class has 30 students in it. The students are divided into three groups(numbered 1, 2,and 3),each havin

qaws [65]

Answer:

a. $\\ 10! = 3628800$ ;

b. $\\ 10!*10!*10! = 47784725839872000000 = 4.7784725839872*10^{19}$

Step-by-step explanation:

We need here to apply the <em>Multiplication Principle </em>or the <em>Fundamental Principle of Counting</em> for each answer. Answer <em>b</em> needs an extra reasoning for being completed.

The <em>Multiplication Principle</em> states that if there are <em>n</em> ways of doing something and <em>m</em> ways of doing another thing, then there are <em>n</em> x <em>m</em> ways of doing both (<em>Rule of product</em> (2020), in Wikipedia).

<h3>In how many ways can ten students line up? </h3>

There are <em>ten</em> students. When one is selected, there is no other way to select it again. So, <em>no repetition</em> is allowed.

Then, in the beginning, there are 10 possibilities for 10 students; when one is selected, there are nine possibilities left. When another is selected, eight possibilities are left to form the file, and so on.

Thus, we need to multiply the possibilities after each selection: that is <em>why</em> the <em>Multiplication Principle</em> is important here.

This could be expressed mathematically using n!:

$\\ n! = n * (n-1)! * (n-2)! *...* 2*1.$

For instance, $\\ 5! = 5 * (5-1)! * (5-2)! *...*2*1 = 5 * 4 * 3 * 2 * 1 = 120.$

So, for the case in question, the <em>ten</em> students can line up in:

$\\ 10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3628800$ ways to line up in a single file.

<h3>Second Question</h3>

For this question, we need to consider the former reasoning with extra consideration in mind.

The members of Group 1 can occupy <em>only</em> the following places in forming the file:

$\\ G1 = \{ 1, 4, 7, 10, 13, 16, 19, 22, 25, 28\}^{th}$ <em>places</em>.

The members of Group 2 <em>only</em>:

$\\ G2 = \{ 2, 5, 8, 11, 14, 17, 20, 23, 26, 29\}^{th}$ <em>places</em>.

And the members of Group 3, the following <em>only</em> ones:

$\\ G3 = \{ 3, 6, 9, 12, 15, 18, 21, 24, 27, 30\}^{th}$ <em>places.</em>

Well, having into account these possible places for each member of G1, G2 and G3, there are: <em>10! ways</em> for lining up members of G1; <em>10! ways</em> for lining up members of G2 and, also, <em>10! ways</em> for lining up members of G3.

After using the <em>Multiplication Principle</em>, we have, thus:

$\\ 10! * 10! * 10! = 47784725839872000000 = 4.7784725839872 *10^{19}$ <em>ways the students can line up to come in from recess</em>.

3 0

3 years ago