Write an equation in standard form of the line that has x-intercept 6 and y-intercept -2

Answer:

14

Step-by-step explanation:

2x2=4

10+4= 14

Answer:Yes

Step-by-step explanation:5is the solution

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.

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.

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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

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:

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:

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:

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: 20.4444444 etc.

Step-by-step explanation:

Answer:

20.44

Step-by-step explanation:

184÷9= 20.44

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.

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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.

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Answer:

d =11t

Step-by-step explanation:

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:

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Answer:

The monthly percentage rate would be 1.6%

Step-by-step explanation:

Given,

Finance charge = $ 85.50,

Amount of bill in this month  = $ 5,343.75,

Hence, the monthly rate of percentage

[tex]=\frac{\text{Finance charge}}{\text{Amount of bill}}\times 100[/tex]

[tex]=\frac{85.5}{5343.75}\times 100[/tex]

[tex]=\frac{8550}{5343.75}[/tex]

[tex]=\frac{855000}{534375}[/tex]

= 1.6 %

i.e. OPTION A would be correct.

The monthly percentage rate on Jeremy's credit card is [tex]\[ {1.6\%} \][/tex]. So option (a) is correct.

To determine the monthly percentage rate on Jeremy's credit card, follow these steps:

Step 1: Identify the Given Values

Finance charge: $85.50

Average daily balance: $5,343.75

Step 2: Understand the Formula

The following formula is used to determine the finance charge:

[tex]\[ \text{Finance Charge} = \text{Average Daily Balance} \times \text{Monthly Percentage Rate} \][/tex]

Step 3: Set Up the Equation

Let ( r ) represent the monthly percentage rate (in decimal form).

[tex]\[ 85.50 = 5343.75 \times r \][/tex]

Step 4: Solve for the Monthly Percentage Rate

The equation should be rearranged to find ( r ):

[tex]\[ r = \frac{85.50}{5343.75} \][/tex]

Step 5: Perform the Calculation

[tex]\[ r = \frac{85.50}{5343.75} \approx 0.016 \][/tex]

Step 6: Convert the Decimal to a Percentage

[tex]\[ \text{Monthly Percentage Rate} = 0.016 \times 100 = 1.6\% \][/tex]

Therefore, the monthly percentage rate on Jeremy's credit card is:

[tex]\[ {1.6\%} \][/tex].

Answer:

Point S

ST

Step-by-step explanation:

Answer:

[tex]\boxed{\sf point \ S}[/tex]

Step-by-step explanation:

Line QS and ST intersect at one point, the intersection is point S.

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

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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:

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]

Answer: 160ft.

Step-by-step explanation:

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:

Number of committees that are possible =210

Step-by-step explanation:

Total names in ballot = 10

Total members to be elected for the committee = 4

So, we need the number of different ways in which 4 names out of 10 can be elected for the committee.

To find the number of ways in which the committee can be elected, we use the combinations which is given as

[tex]aCb=\frac{a!}{(a-b)!b!}[/tex]

where [tex]a[/tex] represents total number of members and [tex]b[/tex] represents total number of members to be elected.

So, [tex]10C4=\frac{10!}{(10-4)!4!}[/tex]

[tex]10C4=\frac{10!}{6!4!}[/tex]

[tex]10C4=\frac{10\times9\times8\times7\times6\times5\times4\times3\times2\times1}{6\times5\times4\times3\times2\times1\times4\times3\times2\times1}[/tex]

[tex]10C4=\frac{10\times9\times8\times7}{4\times3\times2\times1}[/tex] [Canceling the common numbers]

[tex]10C4=210[/tex]

∴ Number of committees that are possible =210

Using the combinations formula, we will see that 210 different committees are possible.

Here we need to use the combinations function. It says that for a set of N elements, the number of different subsets of K elements (such that K is equal or smaller than N) that we can make is:

[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]

In this case, we have N = 10 and K = 4, replacing that we will get:

[tex]N(10, 4) = \frac{10!}{(10 - 4)!*4!} = \frac{10!}{6!*4!} = \frac{10*9*8*7}{4*3*2} = 210[/tex]

This means that from 10 names, there are 210 different committees of 4 members that can be made.

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Answer:

16(d-4)

Step-by-step explanation:

16d-64=16(d-4)

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

195050400

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

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

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

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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: $44.50 per hour

Step-by-step explanation:

so easy

6hrs=$267

divide by 6 on both sides

1hr=$44.50

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]