Answer:
0.
Step-by-step explanation:
If you take these two equations to a graphing calculator, you'll find that they are parallel. I. E. they don't intercept.
A solution to a system of equations is when they intercept, so if they don't intercept, that means no solution.
Answer: No solution
Step-by-step explanation:
Ace Hardware sells boxes of wrench (100) and hammers ($300). Howard ordered 40 boxes of wrenches and hammers for $8400. How many boxes of each are in the order?
Answer:
Howard's order will contain 15 boxes of hammers and 39 boxes of wrenches.
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Price of box of wrenches = US$ 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.
Joe bought 5.8 pounds of
grapes to have as a snack with
his 10 friends. If he shares his
grapes evenly, how many
pounds of grapes will each of
his friends get?
Answer:6.8
Step-by-step explanation:
Answer:
0.58 pounds per friend
Step-by-step explanation:
divide 5.8 into the 10 friends.
Apply the distributive property to create an equivalent expression.
(m−3+4n)⋅(−8)
Answer:
-8m + 24 - 32nStep-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]
adam swam 1500m in 19 minutes. if swimming at a rate of 4.5km/h burns 600 calories, how many calories did adam burn
Adam burnt 631.6 calories approximately
Solution: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.
What is the value of x if e3x+6=8
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.
Explanation: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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Marcelo played a carnival games six times he spent three tokens to play each game and he won seven tokens each time write two different expressions that can be used to find the total profit and tokens that Marcello made
Answer:
24
Step-by-step explanation:
let W represent the number of wins and let P represent the number of plays let T represent profit from each play. from the question, Marcelo played 3 times, this means 3P can represent the first equation He won 7 times, 7W can represent the second equation
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Certainly! Marcelo played the carnival games six times, spending three tokens for each game and winning seven tokens from each. To find the total profit in tokens that Marcello made, we can create two different expressions:
1. The first method involves directly calculating the net tokens won over all the games:
- We calculate the total tokens won by multiplying the number of tokens won per game (7) by the number of games played (6).
- Then we calculate the total tokens spent by multiplying the number of tokens spent per game (3) by the number of games played (6).
- Finally, we determine the total profit by subtracting the total tokens spent from the total tokens won.
Using this method, the first expression to calculate the total profit (P_1) is:
\[
P_1 = (\text{Tokens won per game} \times \text{Games played}) - (\text{Tokens spent per game} \times \text{Games played})
\]
\[
P_1 = (7 \times 6) - (3 \times 6)
\]
\[
P_1 = 42 - 18
\]
\[
P_1 = 24
\]
So, using this expression, Marcello's total profit is 24 tokens.
2. The second method is to calculate Marcello’s profit per game and then multiply that by the number of games played:
- First, we find the profit per game by subtracting the number of tokens spent per game (3) from the number of tokens won per game (7).
- Then we multiply the profit per game by the total number of games played (6) to find the total profit.
Using this method, the second expression to calculate the total profit (P_2) is:
\[
P_2 = (\text{Profit per game}) \times \text{Games played}
\]
\[
P_2 = (\text{Tokens won per game} - \text{Tokens spent per game}) \times \text{Games played}
\]
\[
P_2 = (7 - 3) \times 6
\]
\[
P_2 = 4 \times 6
\]
\[
P_2 = 24
\]
So, using the second expression, Marcello's total profit is also 24 tokens.
In both scenarios, the profit that Marcello makes from playing the six games is 24 tokens. The first expression gives us a direct calculation of the total, while the second expression calculates the profit on a per-game basis and then accumulates it.
A rectangular garden has a width of 90 feet. The perimeter of the garden is 500 feet. What is the length
Answer: 160ft.
Step-by-step explanation:
Could these triangles be congruent?
Answer:
no, because the hypotenuses must have different lengths.
Step-by-step explanation:
From 10 names on a ballot, a committee of 4 will be elected to attend a political national convention. How many different committees are possible?
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.
How many 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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if r + 9 = 42, does r + 9 - 9 = 42 + 9? Why or why not?
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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Is 5 a solution to the equation 2x2 + 10 = 60?l
Answer:
14
Step-by-step explanation:
2x2=4
10+4= 14
Answer:Yes
Step-by-step explanation:5is the solution
Which best describes the strength of the model?
The table shows the number of calories in four meals and
the cost of each meal.
Cost of Meal and Number of Calories
Number of calories Cost of
in the meal the meal
550=$12
1,250=$11
780=$13
650=$10
A.a weak positive correlation
B.a strong positive correlation
C.a weak negative correlation
D.a strong negative correlation
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
Darius wrote the number 84,273. Then he wrote a different number in which the digit 2 has 10 times the value it has in the number 84,273. Which could be the other number Jackson wrote? A 78,325 B 62,541 C 34,482 D 25,847
Answer:
option B) 62541
Step-by-step explanation:
The given number is 84273.
The number can be written as 80000+4000+200+70+3=84273.
Here in the given number, the digit 2 has value 200.
Given that, value of two in new number is ten times means, 200 x 10=2000.
thus, 2 should be at thousandth's place, which is only in 62541 in given options.
62541=60000+2000+500+40+1
while others are,
78325=70000+8000+300+20+5
34482=30000+4000+400+80+2
25874=20000+5000+800+70+4 ,
none of which has 2 at thousandth's place.
How much water should be added to 6 gallons of pure acid in order to obtain the 24% acid solution?
HELP
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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Jeremy didn't pay his previous month's credit card bill in full. This month's bill shows a finance charge of $85.50. Jeremy calculates the average daily balance in the new bill to be $5,343.75 What is the monthly Pentage rate on the card?
A 1.6%
B. 1.92%
C 16%
D. 19.2%
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].
PLEASE ANSWER QUICK I HAVE 50 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
THANK YOU
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.
What fraction of an hour is 2 minutes
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]
It takes Linda 40 minutes to read 10 2/3 pages of a book. What is her average reading rate in pages per minute?
Answer:
4/15 pages per minute
Step-by-step explanation:
10 2/3=32/3
(32/3)/40
(32/3)(1/40)=32/120
simplify
4/15
Answer:
4/15 pages per minute
Step-by-step explanation:
This unit rate is found as follows:
10 2/3 pages 32/3 pages
----------------------- = ----------------------
40 minutes 40/1 minutes
To divide 32/3 by 40/1, invert 40/1 and multiply instead:
32 1
------- * -------
3 40
Dividing both 32 and 40 by 8, to reduce the fractions, we get:
4 1
------- * ------- = 4/15 pages per minute
3 5
A television and DVD player cost a total of $1192 . The cost of the television is three times the cost of the DVD player. Find the cost of each item.
The cost of the television is $894, and the cost of the DVD player is $298.
Let's denote the cost of the DVD player as x dollars.
Since the cost of the television is three times the cost of the DVD player, we can express the cost of the television as 3x dollars.
According to the given information, the total cost of both items is $1192. Therefore, we can set up the following equation:
[tex]\[ x + 3x = 1192 \]Now, let's solve for \(x\):\[ 4x = 1192 \]\[ x = \frac{1192}{4} \]\[ x = 298 \][/tex]
Now that we have found the cost of the DVD player [tex](\(x = 298\) dollars)[/tex], we can find the cost of the television, which is three times the cost of the DVD player:
[tex]\[ \text{Cost of television} = 3 \times 298 = 894 \][/tex]
Simplify the expression.
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
mr smith 6 hours earned 267. how much did he earn per hour
Answer: $44.50 per hour
Step-by-step explanation:
so easy
6hrs=$267
divide by 6 on both sides
1hr=$44.50
What is the next number in this pattern? 1,7,8,15,23,38,61
Answer:
72
Step-by-step explanation:
1 then 7+1=8 8+7=15 15+8=23 23+15=38 38+23=61
Ta Da I have taught you the pattern now you can show your work just in case you have one of those teachers hope this helped
The next number in the pattern 1,7,8,15,23,38,61 is 99. The pattern can be understood by calculating the differences between consecutive numbers, and observing a pattern in these differences.
Explanation:Let's take a look at the pattern 1,7,8,15,23,38,61 closely. At every step, we're adding an increasing number to get to the next term in the sequence. From 1 to 7, we add 6. From 7 to 8, we add 1. From 8 to 15, we add 7, from 15 to 23, we add 8, from 23 to 38, we add 15 and from 38 to 61, we add 23.
The difference between these numbers (6, 1, 7, 8, 15, 23) reads as follows: 5, 6, 1, 7 and 8. So, the next difference could be 15 (continuing the pattern in the differences). So, the next term would be obtained by adding 15 to previous term's difference (23) and then adding that result to 61.
Finally, we calculate 61 + (23 + 15) = 61 + 38 = 99. So, the next number in this pattern should be 99.
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A cylindrical can is to hold 20[tex]\pi[/tex] cubic meters. the material for the top and bottom costs $10 per square meter, and material for the side costs $8 per square meter. fond the radius r and the height h of the most economical can i.e. such that the cost is minimal
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
Vivian does this work to find the decimal equivalent of 42/99 What does her work tell you
about the decimal equivalent?
Answer:
It is 0.42 repeated, with a line on top of the 4 and the 2.
Step-by-step explanation:
The decimal repeats when she divides into the same number twice.
The sum of John and Sally’s ages is 24. John is 6 years older than Sally. Which system of equations below represents this relationship and what are their ages? ASAP
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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Rome was able to gain its empire in large part by extending some form of citizenship to many of the people it conquered. Military expansion drove economic development, bringing enslaved people and loot back to Rome, which in turn transformed the city of Rome and Roman culture.
Answer:
is this a question or a passage
Answer:
very confused, are you trying to inform us?
Step-by-step explanation:
Jaquez completed 1/8 of his test in 3/5 hour. If Jaquez's rate stayed the same, how much of his test was finished in one hour. Show Work!
(A) 3/40
(B) 1/24
(C) 1/12
(D) 5/24
Answer:[tex]\dfrac{5}{24}[/tex]
Step-by-step explanation:
Let [tex]r[/tex] be the rate at which Jaquez completes his test.
Let [tex]x[/tex] part of test be completed by Jaquez in [tex]t[/tex] hours.
Then,
[tex]x=rt[/tex]
Given that Jaquez completed 1/8 of his test in 3/5 hour.
So,[tex]\frac{1}{8}=r\times \frac{3}{5}[/tex]
[tex]r=\frac{5}{24}[/tex]
To know how much he completes in one hour,substitute [tex]1[/tex] in the above equation.
So,[tex]x=r\times 1=\frac{5}{24}[/tex]
Jaquez completes [tex]\frac{5}{24}[/tex] of his test in [tex]1[/tex] hour
Answer:
Option (d)
5/24
Explanation:
Hour taken to complete 1/8 of his test=3/5 hour
Suppose r is the rate at which Jackuez completes his test
For completing the test in t hours
The equation is
y= r t
where y is the part of test which will be completed in t hour
with the information given
substituting the values
[tex]\frac{1}{8}=r \frac{3}{5}[/tex]
[tex]r=\frac{5}{24}[/tex]
now when t=1 hour
substituting the value
[tex]\mathrm{x}=\frac{5}{24} \times 1[/tex]
[tex]\mathrm{x}=\frac{5}{24}[/tex]
hence at 1 hour his test was completed [tex]\frac{5}{24}[/tex]
Divide 2x4- 4x3 - 11x2 + 3x - 6 by x + 2
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]
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Jayda is mixing pink paint by mixing 3.5 quarts of red paint with three-quarter cup of white paint how much red paint should be mixed with 6 cups of white paint to make her shade of pink?
A cell phone company mistakenly advertises that their data plan costs "0.02 cents" for every kilobyte of data
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.
Explanation: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.
Learn more about Decimal Conversion here:
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