At the grocery store, Mr. Arnett allowed each of his
children to fill their own bag with trail mix for their hike.
The table shows the amount of trail mix for each child.
Child
Ava
Grayson
Mason
Tyler
Amount of
Trail Mix (oz)
15
14
10
17
The trail mix costs $4.50 per pound. How much will Mr.
Arnett pay for all the trail mix?

Answer:

Step-by-step explanation:

Let the gross salary be x.

Then after deduction it becomes:

Since the amount is known, the gross salary is:

Answer: $3692

Answer:

765 37/100

Step-by-step explanation:

The decimal form of the expression is 765.037

The decimal form is a way of expressing fractions and numbers as decimals.

In mathematical expressions, decimals are positioned in such a way as to differentiate between the whole number part and the fractional number part.

From the given  information, we have:

[tex]\mathbf{=7 \times 100 + 6 \times 10 + 5\times 1 + 0 (\dfrac{1}{10}) + 3\times (\dfrac{1}{100}) + 7 \times (\dfrac{1}{1000})}[/tex]

[tex]\mathbf{=700+60 + 5+ 0 + \dfrac{3}{100} +\dfrac{7}{1000}}[/tex]

= 765.037

Learn more about decimal forms here:

https://brainly.com/question/703656

Answer: Distribute:

=2b+(

1

2

a)(b)+(

1

2

a)(

−2

3

)+−4ab

=2b+

1

2

ab+

−1

3

a+−4ab

Combine Like Terms:

=2b+

1

2

ab+

−1

3

a+−4ab

=(

1

2

ab+−4ab)+(

−1

3

a)+(2b)

=

−7

2

ab+

−1

3

a+2b

Answer:

=

−7

2

ab+

−1

3

a+2b

Step-by-step explanation: done

Answer:

48ft

Step-by-step explanation:

First we convert into slope-intercept form | y = mx + b

[tex]-3y=-3-x[/tex]

Move x to another side and subtract. (Whenever you move to another side, the sign/operator will be opposite. From plus to minus and from multiply to divide.)

Then move -3 to divide (-3-x)

[tex]y=\frac{-3-x}{-3}[/tex]

Separate - [tex]y=\frac{-3}{-3}-\frac{x}{-3}[/tex]

| Negative dividing Negative equal positive |

[tex]y=\frac{3}{3}-(-\frac{x}{3})[/tex]   | When the denominator is negative, we can pull out from the denominator and convert into the middle of fraction. |

| Negative multiplying Negative equal positive |

[tex]y=1+\frac{x}{3}[/tex]

This is not fully slope-intercept form yet. We swap the position of 1 and x/3

[tex]y=\frac{x}{3}+1[/tex]

There we go. The slope-intercept form.

Now our job is to find the x-intercept and y-intercept. First, know what m and b represents in the equation y = mx + b first.

From y = mx + b | m represents slope | b represents the y-intercept. |

Our equation is [tex]y=\frac{x}{3}+1[/tex]

Our m or slope is 1/3 and our y-intercept is 1. So we don't need to find the y-intercept because we've already found it.

Now move to finding x-intercept.

Substitute y as we get -

[tex]0=\frac{x}{3}+1[/tex]

Now whenever there is a denominator, multiply the whole equation by the denominator itself. As our denominator in this equation is 3, so we multiply all whole equation by 3.

[tex]0(3)=\frac{x}{3}(3)+1(3)\\0=x+3 \\x=-3[/tex]

Our x-intercept is x = -3 and y-intercept is y = 1.

Check the graph out. Our answers can be only A and B considering the slope is positive. C and D choices have negative slope (m < 0).

However, the value of slope also affects the graph. If the slope has a lot of value, then the graph will head to y-axis.

But if the slope has a little value then the graph will head to x-axis instead.

After all, when converting to the slope-intercept form. We don't need to find the x-intercept right away, just one glance at the graph along with the equation and we are able to answer it.

Thus, the answer is B choice.

I know it is a long, boring explanation. But providing a quality answer is what I'm trying to do. I may not be able to explain that good or whatever. But with an explanation, I hope it will benefit you someday, after all. An explanation can help you in a test. Thanks for reading and I hope this helps you.

Answer:

4 - i

Step-by-step explanation:

Intuitively, the answer will be 4 - i, as the other numbers are too big to have a square as small as 17i.  Also, we know that  i will not be in the end result, which means that we should have a negative in the result as well.

To test this, we can simply treat 4 and -i as the sides of a right triangle and find the hypotenuse:

[tex]d = \sqrt{4^2 + (-i)^2} \\d = \sqrt{16 + 1}\\d = \sqrt{17}[/tex]

So indeed the answer is 4 - i

Answer:

d) 4-i

Step-by-step explanation:

on edge

Answer:

-12x + 5 > -19

-12x > -24

x < 2

Answer:

mean = 2.55

Standard deviation = 1.118

Step-by-step explanation:

Probability of babies who are boys

P = 0.51

Then we have q = 1-p

= 1-0.51

= 0.49

We have n = 5

We calculate the mean as:

np

= 0.51x5

= 2.55

Therefore mean = 2.55

The standard deviation

= √variance

= √npq

= √0.51x5x0.49

=√1.2495

= 1.118

Answer:

I think it's 150!!

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

Square root of a negative number is non real.

Answer:

114

Step-by-step explanation:

5.70  TIMES 20 = 114.

1m2 = 10000cm2

4.5m2 = 25000cm2

Answer:

we can describe this by using the formulas of Trigonometric functions..........Thank u.....

Answer:

Angle 1=  54°

Angle 2= 144°

Angle 3 = 126°

Angle 4 = 36°

Step-by-step explanation:

We are given measures of the angles of a quadrilateral are 3:8:7:2

Let the common ratio = x

The angles will be:

Angle 1= 3x,

Angle 2= 8x,

Angle 3 =7x

Angle 4 =2x

We know that sum of all angles of quadrilateral = 360°

We can write as: [tex]3x+8x+7x+2x=360[/tex]

Solving to find x,

[tex]3x+8x+7x+2x=360\\20x=360\\x=\frac{360}{20}\\x=18[/tex]

We get value of x = 18

Now, finding angles:

Angle 1= 3x = 3(18) = 54°

Angle 2= 8x = 8(18) = 144°

Angle 3 =7x = 7(18) = 126°

Angle 4 =2x = 2(18) = 36°

The variable k can be expressed as follows:

k = 2D / f

A variable is a number represented by a letter in an equation or expression.

The variables in the given equation are D, f and k.

But we were asked to make the variable k the subject of the formula.

Therefore,

D = 1 / 2 f k

cross multiply

f k = 2D

divide both sides by f

Hence,

f k / f = 2D / f

k = 2D / f

Therefore, the variable k can be expressed as follows:

k = 2D / f

learn more on variable here: https://brainly.com/question/21766365

#SPJ1

Answer: D: 4.5

Step-by-step explanation:

So the Equation I used for this would be

6(2x+3) = 3(6x-3)

In Which the left is the Hexagon (The 6 is for the 6 Sides) and the right of the equation is the triangle (given the 3 for the 3 sides. In order to solve, we need to solve for x. Distribute the equation and your left with

12x+18=18x-9

-12x            +9

27=6x

Divide to get X by itself

and your left with

4.5 = x

Hope it helped.

[tex](4a+7b-12c)-(8a-9b+12d)\\4a+7b-12c-8a+9b-12d[/tex]

Negative multiply negative = Positive

Negative multiply positive = negative

[tex]-8a+4a+9b+7b-12c-12d\\-4a+16b-12c-12d[/tex]

Thus the answer is -4a + 16b - 12c - 12d.

Answer:I believe 786.34

Step-by-step explanation:

You divide 180 by 73.25 which is 2.46, then multiply this number by your 320 minutes to get the answer

Answer:

$128

Step-by-step explanation:

73.25/180 = 7325/18000 = 0.4

0.4 * 320 = 128

Hope this helps!      :3

plz mark as brainliest!

Answer:

0.7

Step-by-step

49 divided by 7 = 7

Since there is a decimal add a 0 in front of the 7. (0.7)

Answer:

x=-2

Step-by-step explanation:

log x, log (x+2) , log (x+16) are in A.P.

2log (x+2)=log (x+2) +log (x+16)

log (x+2)²=log [(x+2)(x+16)]

(x+2)²=(x+2)(x+16)

x²+4x+4=x²+2x+16x+32

4x-18x=32-4

-14x=28

x=28/(-14)=-2

Answer:

A.2

Step-by-step explanation:

for it to have infinite solutions, the equations need to be identical so you have a 3x and a 2 would be put for a to make 3x-2 since the other side is 3x-2

Answer:

Its 3/6

Step-by-step explanation:

Answer:

one eqwivelent fraction that is = to 1/3 is 2/6 if u need more just comment and i will responed back

Step-by-step explanation:

Answer:

Equation: 190 = 6 + 23p

Answer: p = 8

Step-by-step explanation:

So first we have a total of $190 and regardless of how many people go, parking is going to cost $6 so that amount will be reduced from the total money they have for the amusement park. The rest left will go towards the tickets. That means the amount they have is $190-$6 = $184. 23 x the number of tickets = $184. You need to divide the 184 by 23 to get the number of tickets. Which is p in this situation. Therefore the answer for p would be 8. For the equation, you have 190 = 6 + 23p. Therefore those two is our answers.

Answer:

(2x²-7)

Step-by-step explanation:

14 −1 (19 − 4x²+6) + (2² +6 - 14-1 (25-4x²) + (2² +6 −5.

Answer:

42%

Step-by-step explanation:

just makes sence I think

The possible values of x for the following functions are values on real number except 0 and 1

The domain of a function are the values of the independent variable for which it exists.

Given the function below

f(x)=2-x/x(x-1)

The function does not exist at the. point where the denominator is zero. From the function given, the function does not exist when;

x(x -1) = 0

x = 0 and x = 1

Hence the possible values of x for the following functions are values on real number except 0 and 1

Learn more on domain of a function here; https://brainly.com/question/1770447

#SPJ1

Answer:

x = 404.83

Step-by-step explanation:

The given expression is :

19,432÷x=48 ...(1)

We need to find the value of x.

[tex]\dfrac{19,432}{x}=48[/tex]

Cross multiplying both sides,

[tex]19,432=48x[/tex]

Dividing both sides by 48

[tex]\dfrac{19,432}{48}=x\\\\x=404.83[/tex]

So, the value of x is 404.83.

Answer:

x = 400

Step-by-step explanation:

To find x, you first need to subtract the remainder from 19,432.

That equals 19,200. Then you need to do 19,200 divided by 48.

x = 400

Hope this helps! :)

Answer:

12 weeks.

Step-by-step explanation:

On the twelfth week they will both have saved $160.

hope this helps.

The 8th term of the pattern is 254.

Here the sequence is 9, 16, 29, 50, 81, 124, 181

By using differences we have :

 9,    16      29      50      81      124     181

  |___|  |___| |___|  |___|  |___|  |____|

    ↓         ↓       ↓        ↓         ↓        ↓

   +7      +13     +21     +31      +43    +57

     |____|  |___|  |___|  |____|  |____|

         ↓         ↓         ↓        ↓          ↓

        +6        +8      +10      +12      +14

           |____|  |____|  |___|  |_____|

                ↓          ↓         ↓          ↓

               +2        +2       +2        +2

Therefore to find the 8th value of the pattern

We will add 2 in 14

14 + 2 = 16

Now 16 should be added to 57

57 + 16 = 73

Now we will add 73 to the 181 we get

181 + 73 = 254

Therefore the 8th term of the pattern is 254 by using the difference.

To know more about the sequence refer to the link given below:

https://brainly.com/question/24565868

#SPJ1