Paul Hastings had a checkbook balance of $1345.00. His bank statement showed a deposit of $423.00 and he hadnt recorded a $15 service fee. What should his checkbook balance be?

Answer:

[tex]-\frac{4z}{9}-3[/tex]

Step-by-step explanation:

Combine like terms, [tex]\frac{7}{9}z-\frac{6}{9}z-\frac{5} {9}z= -\frac{4z}{9}[/tex]

and 3-6= -3

Answer: Option C

Step-by-step explanation: A Positive correlation means that as one variable increases, also does the other variable.

In this case, if we put the data in order we have:

$10 ----- 650 calories

$11 ----- 1250 calores (here we have an increase)

$12 ----- 550 calories (here we have a decrease)

$13 ---- 780 calories (here we have an increase)

The correlation can be calculated with a calculator, and it yields to:

C = (∑(x-x')(y-y'))/√(∑(x-x')^2*∑(y-y')^2) = -0.12924

(where y' and x' are the means of the variables x and y)

So whe can see that the correltion is negative and close to zero, so this is a weak negative correlation.

Answer:

The answer is C. a weak negative correlation

on EDGE

Step-by-step explanation:

2022

Answer: 20.4444444 etc.

Step-by-step explanation:

Answer:

20.44

Step-by-step explanation:

184÷9= 20.44

To solve the equation e3x+6 = 8 for 'x', first take the natural logarithm of both sides (3x + 6 = ln(8)) to isolate 'x', resulting in x = (ln(8) - 6) / 3. If calculated, the approximate answer is x ≈ -0.307.

This question pertains to solving for unknown variable 'x' in an exponential equation. The equation provided is e3x+6 = 8. In solving for 'x', you must first rearrange the equation by taking the natural logarithm (ln) of both sides. This is because the inverse operation for the base of natural logarithm 'e' is natural logarithm 'ln'. Thus, you get 3x + 6 = ln(8). Afterwards, you subtract 6 from both sides and divide by 3 to get x = (ln(8) - 6) / 3. The numerical solution for this can be calculated with a scientific calculator, which yields x as roughly -0.307.

https://brainly.com/question/15268345

#SPJ12

Answer:

Step-by-step explanation:

347+13=360.              360 divided by 3 = 120 students signed up for basket ball

Using algebra, the number of students who listed basketball as their favorite sport is calculated to be 120, based on the information given that 347 students prefer soccer and that number is 13 less than three times the number of basketball fans.

Calculating the Number of Basketball Fans

To find the number of students who listed basketball as their favorite sport, we can use algebra. Let's call the number of basketball students x. We know that 347 students listed soccer as their favorite sport, which is 13 less than three times the number of students who listed basketball. This information gives us the equation:

3x - 13 = 347

Adding 13 to both sides to isolate the term 3x on one side, we get:

3x = 360

Dividing both sides by 3 to solve for x, we get:

x = 120

Therefore, there are 120 students who listed basketball as their favorite sport.

Answer:

0.7 pounds of fruit

Step-by-step explanation:

Step 1. Add all fruit Ashley has been given to Aliyah, Brendan and Arley

Find the sum of;

     1.3 pounds for Aliyah

     2.4 pounds for Berndan

    1.2 pounds for Arley      

    4.9 pounds of fruits

Step 2. Subtract the total pounds given from the total pounds of fruit Ashley had.

5.6 pounds - 4.9 pounds = 0.7 pounds left

Answer; Ashley has 0.7 pounds of fruits left

There are 21 nickels in the jar

Step-by-step explanation:

Ellie Mae has a jar that contains quarters and nickels

We need to find the number of the nickles in the jar

Assume that the number of nickles is x

∵ There x nickles in the jar

∵ There are 15 more nickels than quarters

∴ The number of quarters = x - 15

∵ 1 nickle = 5 cents

∵ 1 quarter = 25 cents

∵ 1 dollar = 100 cents

∵ The total value is $2.55

- Change the total value to cents

∴ The total value = 2.55 × 100 = 255 cents

∵ 5 x + 25(x - 15) = 255

- Simplify it

∵ 5x + 25x - 375 = 255

- Add like terms

∴ 30x - 375 = 255

- Add 375 to both sides

∴ 30x = 630

- Divide both sides 30

∴ x = 21

There are 21 nickels in the jar

Learn more:

You can learn more about the word problems in brainly.com/question/13174281

#LearnwithBrainly

Answer:

19 gallons

Step-by-step explanation:

Let x gallons be the amount of water which should be added to 6 gallons of pure acid in order to obtain the 24% acid solution.

Amount of water = x gallons

Amount of pure acid = 6 gallons

Amount of acid solution = x + 6 gallons

Amount of acid in acid solution = 24%

So, there are [tex]0.24(x+6)[/tex] gallons of acid in acid solution.

Hence,

[tex]0.24(x+6)=6[/tex]

Solve this equation. Multiply it by 100:

[tex]24(x+6)=600\\ \\24x+144=600\\ \\24x=600-144\\ \\24x=456\\ \\x=19\ gallons[/tex]

Answer:

19 gallons

Step-by-step explanation:

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

19 gallons

Answer: C

Step-by-step explanation:

   5x+3y=13

+(-5x-12y=23)

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

-9y=36

y=-4

To find x plug in y into any equation.

5x+3(-4)=13

5x=25

x=5

The answer would be 32/3 or 10.67

Ok, so the formula would be set up like this...

[tex]\frac{(2*4)-(4*3)-(11*2)+(3x-6)}{x+2}[/tex]

then, you can simplify the numerator into

[tex]\frac{8-12-22+3x-6}{x+2}[/tex]

srry but i am just going to assume that you are trying to find what x equals.

if you are, then read on!

so this means that [tex]\frac{8-12-22+3x-6}{x+2}=0[/tex]

now multiply (x+2) on both sides, geting [tex]8-12-22+3x-6=0[/tex]

simplify this, and you got [tex]3x-32=0[/tex] and then [tex]3x=32[/tex]

divide both sides and u got [tex]x=\frac{32}{3}=10.67[/tex]

if the stuff doesn't load, reload the screen hope this helps!

Answer:

16(d-4)

Step-by-step explanation:

16d-64=16(d-4)

Answer:

39.5 = tax represents the cost of shoes after the discount

Step-by-step explanation:

c=(1- 0.25)+0.08 [c+(1-0.25s] +8% tax

c= cost

s=shoes

1- 0.25=0.75+0.08= $0.83

c=$0.83

[0.83+(1-0.25s]

1-0.25=0.75

0.83+0.75 =$1.58

                    x 25

                      ___

                      39.5 = tax represents the cost of shoes after the discount

                     Correct me if i'm wrong :-D

Answer:

Howard's order will contain 15 boxes of hammers and 39 boxes of wrenches.

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Price of box of wrenches = US$ 100

Price of box of hammers = US$ 300

Cost of the order = US$ 8,400

2. Let's find the exact amount of boxes of wrenches and hammers

Cost of the order = Price of box of wrenches * Number of boxes of wrenches  + Price of box of hammers * Number of boxes of hammers

Replacing with the real values:

8,400 = 100 * 40 + 300 * Number of boxes of hammers

8,400 = 4,000 + 300 * Number of boxes of hammers

- 300 * Number of boxes of hammers = 4,000 - 8,400

- 300 * Number of boxes of hammers = -4,400

Number of boxes of hammers = -4,400/300 = 14.67 ≈ 15

For making a order without fractions or decimals of a box, it will contain just whole numbers, this way:

15 boxes of hammers + 39 boxes of wrenches

Cost of Howard's order = 15 * 300 + 39 * 100 = 4,500 + 3,900 = 8,400

Howard ordered 18 boxes of wrenches and 22 boxes of hammers. This solution was found by solving the system of equations derived from the total number of boxes and the total cost of the order.

Let's denote:

w  as the number of boxes of wrenches Howard ordered.

h  as the number of boxes of hammers Howard ordered.

Given:

1. Each box of wrenches costs $100.

2. Each box of hammers costs $300.

3. Howard ordered a total of 40 boxes.

4. The total cost of the order is $8400.

We can set up a system of equations based on the given information:

1. The total number of boxes ordered:

w + h = 40

2. The total cost of the order:

100w + 300h = 8400

Now, let's solve this system of equations.

We can use the first equation to express one of the variables in terms of the other:

h = 40 - w

Substitute this expression for h into the second equation:

100w + 300(40 - w) = 8400

Now, let's solve for w:

100w + 12000 - 300w = 8400

-200w = 8400 - 12000

-200w = -3600

w = 3600 ÷ 200

w = 18

Now, we can find h using the first equation:

h = 40 - w

= 40 - 18

= 22

So, Howard ordered 18 boxes of wrenches and 22 boxes of hammers.

Answer:

Step-by-step explanation:

hour 60 min 2

min of a hour is 60/2

Answer:

[tex]\frac{1}{30}[/tex]

Step-by-step explanation:

There are 60 minutes in 1 hour thus as a fraction

= [tex]\frac{2}{60}[/tex] ← divide numerator/ denominator by 2

= [tex]\frac{1}{30}[/tex]

No, It is not true.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The expression is,

⇒ r + 9 = 42

⇒ r + 9 - 9 = 42 + 9

Now,

Since, The expression is,

⇒ r + 9 = 42

⇒ r + 9 - 9 = 42 + 9

It is not true, because if we subtract 9 then both side subtract as;

⇒ r + 9 - 9 = 42 - 9

⇒ r = 33

Thus, It is not true.

Learn more about the subtraction visit:

https://brainly.com/question/28370525

#SPJ2

Answer: $44.50 per hour

Step-by-step explanation:

so easy

6hrs=$267

divide by 6 on both sides

1hr=$44.50

J+S=24 and J=S+6 represents the relationship between ages.

John is 15 years old and Sally is 9 years old.

Step-by-step explanation:

Let,

John's age = J

Sally's age = S

According to given statement, the sum of their ages is 24;

[tex]J+S=24[/tex]    Eqn 1

John is 6 years older than Sally means we will add 6 in Sally's age;

[tex]J=S+6[/tex]     Eqn 2

Putting value of J from Eqn 2 in Eqn 1;

[tex](S+6)+S=24\\S+6+S=24\\2S=24-6\\2S=18[/tex]

Dividing both sides by 2

[tex]\frac{2S}{2}=\frac{18}{2}\\S=9[/tex]

Putting S=9 in Eqn 2

[tex]J=9+6\\J=15[/tex]

J+S=24 and J=S+6 represents the relationship between ages.

John is 15 years old and Sally is 9 years old.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

195050400

hi, i am not giving an explanation because i am trying to get points. Please understand me

Answer:

The cost of the can is minimal when r=2 m and h=5 m

Step-by-step explanation:

This is an optimization problem which will be solved by the use of derivatives

We must find an expression for the total cost of the cylindrical can and then find its dimensions to make the cost minimal

Let's picture a cylinder of radius r and height h. Its volume is computed as

[tex]V=\pi r^2h[/tex]

To make the lids we need two circle-shaped pieces of a material which costs $10 per square meter

The area of each lid is

[tex]A_l=\pi r^2[/tex]

The cost of both lids will be

[tex]C_l=(2)(10)(\pi r^2)=20\pi r^2[/tex]

The lateral side of the cylinder can be constructed with a rectangle of material which costs $8 per square meter

The rectangle has a height of h and a width equal to the length of the circumference

[tex]A_s=2\pi rh[/tex]

The cost of the side of the cylinder will be

[tex]C_s=16\pi rh[/tex]

The total cost of the can is

[tex]C=20\pi r^2+16\pi rh[/tex]

We know the volume of the can is [tex]20\pi[/tex] cubic meters

[tex]V=\pi r^2h=20\pi[/tex]

Isolating h we have

[tex]h=\frac{20}{r^2}[/tex]

Using this value into the total cost

[tex]C=20\pi r^2+16\pi r(\frac{20}{r^2})[/tex]

[tex]C=20\pi r^2+\frac{320\pi}{r}[/tex]

Differentiating with respect to r

[tex]C'=40\pi r-\frac{320\pi}{r^2}[/tex]

To find the critical point, we must set C'=0

[tex]40\pi r-\frac{320\pi}{r^2}=0[/tex]

Operating

[tex]40\pi r^3-320\pi=0[/tex]

Solving for r

[tex]r=\sqrt[3]{\frac{320\pi}{40\pi}}=\sqrt[3]{8}[/tex]

r=2

And since  

[tex]h=\frac{20}{r^2}=\frac{20}{2^2}[/tex]

h=5

Differentiating again we find

[tex]C''=40\pi +\frac{640\pi}{r^3}[/tex]

Which is always positive for r positive. It makes the critical point found a minimum

The cost of the can is minimal when r=2 m and h=5 m

Answer: 3 hours

Step-by-step explanation: 30 miles/10 hours=3 miles per hour. 9 miles/3 miles per hour= 3 hours.

Answer:

14

Step-by-step explanation:

2x2=4

10+4= 14

Answer:Yes

Step-by-step explanation:5is the solution

The cell phone company made a error in the conversion of cents to dollars in their advertisement. They advertised the cost as 0.02 cents/kilobyte, but they probably meant $0.02/kilobyte.

The cell phone company is advertising their data plan costs at 0.02 cents per kilobyte but it seems like they may have meant $0.02/kilobyte which is different. Understanding the difference requires Mathematics concepts such as understanding of decimals and units conversion. If we take the advertised rate of 0.02 cents/kilobyte, it means for every 1 kilobyte of data, we will only be charged 0.0002 dollars. This is very cheap compared to charging $0.02/kilobyte. The error occurred because the company did not convert cents to dollars correctly, as $1 is equal to 100 cents, not 1 cent.

https://brainly.com/question/34390573

#SPJ2

Adam burnt 631.6 calories approximately

Given that, Adam swam 1500m in 19 minutes.  

If swimming at a rate of 4.5km/h burns 600 calories,  

we have to find how many calories did adam burn?

Now, let us find his rate of swimming

Distance travelled = speed rate x time taken

[tex]\begin{array}{l}{1500 \mathrm{m}=\text { rate } \times 19 \text { minutes }} \\\\ {1500 \times 1 \mathrm{m}=\text { rate } \times 19 \times 1 \text { minute }}\end{array}[/tex]

We know that 1 hour = 60 minutes and also 1 kilometer = 1000 meter

[tex]\begin{array}{l}{1500 \times \frac{1}{1000} \mathrm{km}=\text { rate } \times 19 \times \frac{1}{60} \text { hour }} \\\\ {\frac{1500}{1000}=r a t e \times \frac{19}{60}} \\\\ {\text { Rate }=\frac{60}{19} \times \frac{3}{2}} \\\\ {\text { Rate }=\frac{30}{19} \times 3} \\\\ {\text { Rate }=\frac{90}{19}=4.736 \mathrm{km} / \mathrm{h}}\end{array}[/tex]

Now, we know that, swimming at a rate of 4.5km/h burns 600 calories,

Let "n" be the calories burnt when adam swam 1500 meter in 19 minutes

[tex]\begin{array}{l}{4.5 \mathrm{km} / \mathrm{h} \rightarrow 600 \text { calories }} \\\\ {\text {Then, } 4.736 \mathrm{km} / \mathrm{h} \rightarrow \text { n calories. }}\end{array}[/tex]

Now, by criss cross multiplication method,

[tex]\begin{array}{l}{4.5 \times n=4.736 \times 600} \\\\ {\rightarrow 4.5 n=2842.1052} \\\\ {\rightarrow n=631.578}\end{array}[/tex]

Hence, adam burnt 631.6 calories approximately.

Answer:

Step-by-step explanation:

The distributive property:

[tex]a(b+c)=ab+ac[/tex]

[tex](m-3+4n)(-8)=(m)(-8)+(-3)(-8)+(4n)(-8)\\\\=-8m+24-32n[/tex]

Answer: 160ft.

Step-by-step explanation:

Answer:

d =11t

Step-by-step explanation:

Answer:

96 ft

Step-by-step explanation:

Perimeter= a (base)+b (side)+c (side)

281 = 89 +b + c

281 -89 = b + c

192 = b+ c ( however in an iscoceles triangle, 2 sides aree equal therefore b and c will be equal)

So: 192/2 = 96

Answer:

Each of the equal sides of the roof is 96 ft long

Explanation:

Let the length of each of equal sides of given isosceles triangle be x, we know that perimeter of a triangle is equal to sum of sides of the triangle, we are given the base side to be equal to 89 feet and perimeter of the triangle equal to 281 feet.

so we can say that x + x + 89 =281 feet.

=> 2 x + 89 = 281 feet

=> 2 x = 192

=> x = 96

So, each of the equal sides is equal to 96 feet.

Answer:

The seventh-grade class earned more money in September by $36

Step-by-step explanation:

a)

The price of flowers in September was $1.50. In October, the price went up 20%

The increase in the price was 20*1.50/100=$0.30. So the new price is $1.80

$1.80

b) In September, the seventh-grade class sold 900 flowers for

900*1.50 = $1,350. They earned 40% of it, that is

40*1,350/100 = $540

In October they sold 700 flowers for

700*1.80 = $1260. They earned 40% of it

40*1260/100 = $504

The difference was $540-$504=$36

The seventh-grade class earned more money in September by $36

Answer:

B

Step-by-step explanation:

The sequence is ABCDEDCBABCDEDCBABCDEDCBA....

⇒The main sequence is the repitition of the sub-sequence ABCDEDCB

2010 when divided by 8 gives a quotient of 251 and a remainder of 2

251×8 = 2008

This means that after the sub-sequence ABCDEDCB is repeated for 251 times, it's last letter B is the [tex]2008^{th}[/tex] letter of the main sequence

Even after that, the sub-sequence ABCDEDCB keeps repeating and the [tex]2010^{th}[/tex] letter in the main sequence is the [tex]2^{nd}[/tex] letter of the sub-sequence ABCDEDCB, that is "B"

Final answer:

To find the 2010th letter in the repeating sequence ABCDEDCBA, divide 2010 by 9 and use the remainder to identify the letter's position in the pattern. The 2010th letter is C.

Explanation:

The sequence ABCDEDCBA consists of 9 letters. To find the 2010th letter in this pattern, we need to divide 2010 by the number of letters in the sequence. Dividing 2010 by 9 gives us 223 with a remainder of 7. This tells us that the 2010th letter is the same as the 7th letter of the sequence, because after every full repetition of 9 letters, the pattern starts over.

Let's map out the sequence: A(1), B(2), C(3), D(4), E(5), D(6), C(7), B(8), A(9). Using this mapping, the 7th letter corresponds to the letter C.

The 2010th letter in the sequence ABCDEDCBA is C.