It costs Guido $0.20 to send a text message from his cell phone. He has already spent $4 in text messages this month. If he has a total of $10 that he can spend this month on text messages, write and solve an inequality that will give the greatest number of text messages that he can send. Interpret the solution.

Answer:

D

Step-by-step explanation:

using the rule of logarithms

• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

[tex]log_{2}[/tex](x - 4) = 4

⇒ x - 4 = [tex]2^{4}[/tex] = 16 ( add 4 to both sides )

x = 20 → D

Answer:

D) 20

Step-by-step explanation:

Divide the cost for 3 ounces by 3, to find the cost per ounce:

2.40 / 3 = 0.80

It cost 80 cents per ounce.

Now multiply the cost per ounce by 16 ounces:

16 x 0.80 = 12.80

It will cost $12.80 for one pound.

Answer:

Final answer is HL = LM.

Step-by-step explanation:

We have been given a diagram having two triangles in which sides AH= EM and AL=EL.

Now we need to find which statement is missing to prove that triangles AHL and EML are congruent using SSS.

SSS means (side - side - side)

Two pair of equal sides are already given so we have completed SS of SSS.

Last "S" means we need one more pair of equal sides so that must be using remaining sides HL and LM

Hence final answer is HL = LM.

In triangles AHL and EML, AH=EM, AL=EL. To prove congruence by SSS, it's concluded that D)  HL=LM is required.

In the given problem, the conclusion is established by presenting a diagram containing two triangles, AHL and EML, with specified equal side lengths: AH = EM and AL = EL. The objective is to ascertain the missing statement required to demonstrate the congruence of these triangles through the Side-Side-Side (SSS) criterion.

The SSS criterion asserts that for two triangles to be congruent, the corresponding sides of the triangles must be equal in length. In this context, the sides AH and AL, as well as EM and EL, serve as two pairs of equal sides, satisfying the "SS" criteria of SSS. To complete the SSS congruence condition, it is necessary to establish the equality of the remaining sides, HL and LM.

Consequently, the final answer deduced from the step-by-step explanation is that HL equals LM. This signifies the fulfillment of the Side-Side-Side criterion, ensuring the congruence of triangles AHL and EML. The logical progression of the explanation elucidates the geometric relationships and justifies the conclusion that HL = LM is the missing statement essential for establishing the congruence of the two triangles.

For such more questions on triangle

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Answer:

x= -2

Step-by-step explanation:

The distance from one end of the line  to the other is -3x-1.

Counting on the number line we count 6 units.  Setting them equal we get

-3x-1 = 5

Add 1 to each side

-3x-1+1 = 5+1

-3x = 6

Divide each side by -3

-3x/-3 = 6/-3

x = -2

Answer:

D

Step-by-step explanation:

An inequality is an expression which means more than one number is a solution. We graph the solutions on a number line to show all possible values. We graph using circles and arrows.

This is a filled in circle on -2 so this is [tex]\leq or \geq[/tex]. This means only answers C and D are options.

Answer D points to the right.

Answer is 4:2 (choice B)

AB is 4 units while A'B' is 2 units. The ratio of the sides is simply gluing these two numbers together with a colon symbol in between to get 4:2. We can reduce this to get 2:1, but your teacher has decided not to do this.

63 People came on the third day

Hi there!

So there was a public pool opened for summer and a total of 246 people came swimming over the first 3 days. On the first day 79 came to swim and on the second day 104 came to swim. To find how much people swam on the third day, we need to add 104 + 79 and subtract the answer with 246.

104 + 79 = 183

246 - 183 = 63

63 people came to swim on the third day.

Hope this helped!~

Answer:

1. Neither pair is a solution

Step-by-step explanation:

3*3=9   -18*4=-32   9(-)-32=41 not eleven

4*3=12   4*4=16   12-16=-4 not eleven

Answer:

D. (1, 5, 2)

Step-by-step explanation:

It is convenient to let a graphing calculator do this. See the attachment.

Answer:

D.(1,5,2)

Step-by-step explanation:

Lets write the augmented matrix by writing the coefficients of all the variables

3      -4    -5      -27              Row 1

5        2     -2      11               Row 2

5       -4      4      -7               Row 3

WE need to get

1   0   0

0   1    0

0   0   1  then last column will be the value of x , y , z

To get identity matrix we use row operations

(R1=R1/3)

1      -4/3    -5/3      -9              Row 1

5        2        -2      11               Row 2

5       -4        4      -7               Row 3

Subtract row 1 multiplied by 5 from row 2 (R2=R2−(5)R1)

1      -4/3      -5/3      -9              Row 1

0     26/3      19/3     56              Row 2

5       -4             4      -7               Row 3

Subtract row 1 multiplied by 5 from row 3 (R3=R3−(5)R1)

1      -4/3      -5/3      -9              Row 1

0     26/3      19/3     56              Row 2

0      8/3       37/3    38               Row 3

Multiply row 2 by 326 (R2=(3/26)R2)

1      -4/3      -5/3        -9              Row 1

0     1       19/26    84/13              Row 2

0      8/3       37/3    38               Row 3

Add row 2 multiplied by 4/3 to row 1 (R1=R1+(4/3)R2)

1      0        -9/13     -5/13              Row 1

0     1       19/26    84/13              Row 2

0      8/3       37/3    38               Row 3

Subtract row 2 multiplied by 8/3 from row 3 (R3=R3−(8/3)R2)

1      0        -9/13     -5/13              Row 1

0     1       19/26    84/13              Row 2

0    0       135/13    270/13           Row 3

Multiply row 3 by 13/135 (R3=(13/135)R3)

1      0        -9/13     -5/13              Row 1

0     1       19/26    84/13              Row 2

0    0          1         2                    Row 3

Add row 3 multiplied by 9/13 to row 1 (R1=R1+(9/13)R3)

 1      0       0            1                  Row 1

0     1       19/26    84/13              Row 2

0    0          1         2                    Row 3

Subtract row 3 multiplied by 19/26 from row 2 (R2=R2−(19/26)R3)

 1      0       0            1                  Row 1

0     1          0          5                 Row 2

0    0          1         2                    Row 3

From the above matrix we can say that x=1 , y=5 and z= 2

Answer:

Step-by-step explanation:

Another very interesting problem

If the candles were all of a different color, then the first candle (randomly chosen) would be 7. The second candle would be any one of 6. Third would be any one of the remaining 5, then 4 then 3 then 2 then 1

The abbreviated way of writing that is 7! which means that the number of different ways would be

7*6*5*4 *3*2*1

However this problem is not that simple The complexity comes from the fact that there are colors that are duplicated.

That event is handled by dividing 7! /by 3! and another 3!

The result is 140

3! = 3*2*1 = 6

So you would take 7! and divide by 6*6

5040/36 = 140

This problem is much more difficult than any of the others.

There are 9 different ways the seven candles can be arranged in the kinara.

The given problem is asking for the number of different ways that the seven candles can be arranged in the kinara for the celebration of Kwanzaa. Since there are seven candles, we can solve this problem by finding the number of permutations of seven objects. The formula for permutations is nPr = n! / (n - r)!, where n is the total number of objects and r is the number of objects we are arranging.

To find the total number of arrangements, we multiply the number of ways to arrange each set of candles together. Therefore, the total number of different ways the seven candles can be arranged in the kinara is 3 * 3 * 1 = 9.

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The given sequence is an arithmetic sequence with a common difference of -5. The explicit formula for the sequence is A_n = 2 + (n-1)*-5. Using this formula, the 13th term of the sequence is -58.

The given sequence is 2, -3, -8, -13, -18. We find that the common difference of the sequence is -5 because each term subtracts 5 from the previous term. This is an arithmetic sequence. The explicit formula for an arithmetic sequence is given by A_n = A_1 + (n-1)*d where A_n is the nth term, A_1 is the first term, d is the common difference and n is the position in the sequence. So in this case, our formula becomes A_n = 2 + (n-1)*-5.

Now let's find the 13th term in the sequence. Substituting n=13 into the formula we get: A_13 = 2 + (13-1)*-5 = 2 - 60 = -58. Therefore, the 13th term of the sequence is -58.

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Answer:

6

Step-by-step explanation:

First, you multiply 2 to the 2nd power, then add 2

Question

2+2^2

Answer:

Step-by-step explanation:

2² = 2*2

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

power first then sum

2 + 2² =

2 + 4 =

6

Answer: If the recipe wants 3/4 cup of pineapple juice for every 6/4 cups of orange juice, 18/4 is 6x more than the recipe so 6/4 must be 6x larger too.

6 x 3/2 = 18/2 or 9 cups of orange juice. Hope this helps :) Please mark brainliest if you can ;)

Answer:

$273.60

Step-by-step explanation:

The cost of stainless steel tubing varies jointly as the length and the diameter of the tubing.

i.e [tex]C\propto L\cdot D[/tex]

i.e [tex]C=k\cdot L\cdot D[/tex]

A 5 foot or 60 inches length with diameter 2 inches costs $48.00, so

[tex]\Rightarrow 48=k\times 60\times 2[/tex]

[tex]\Rightarrow k=\dfrac{48}{60\times 2}=0.4[/tex]

Now the equation becomes,

[tex]C=0.4\cdot L\cdot D[/tex]

So the cost of a 19 foot or 228 inches length with 3 inches diameter is,

[tex]C=0.4\times 228\times 3=\$273.60[/tex]

Answer the correct choice is d 617.5

Answer:

Cheapest = $6

Most expensive = $11

Step-by-step explanation:

First we need to make an equation:

4u + 2h = 40 < x < 60

u is umbrellas and h is hats,

If a hat is 8, then this can be:

4u + 2(8) = 40 < x < 60

4u + 16 = 40 < x < 60

4u = 40 - 16

4u = 24

u = 6

So the cheapest an umbrella can be is $6.

The most expensive is:

4u = 60 - 16

4u = 44

u = 11

So the most expensive is $11

Answer: 34

Step-by-step explanation:

Divide the number of ornaments by the number of sections in the plastic containers.

204/6= 34

Terrance will need 34 plastic containers to store all 204 of his ornaments, with each container holding 6 ornaments.

Terrance has 204 ornaments to put away, and each container has 6 sections; with each section holding one ornament. To find out how many containers Terrance will need, divide the total number of ornaments by the number of ornaments that fit into one container. This is a simple division problem: 204 ornaments divided by 6 sections per container equals 34.

Therefore, Terrance will need 34 plastic containers to store all his holiday ornaments.

Problem 1

Answer: Independent

The reason why is because each bag is separate from one another, so one event doesn't affect the other. If we know the result of what we pulled out of one bag, it doesn't change the probability of the other event.

======================================

Problem 2

Answer: Dependent

Assuming you do not put the first card back, then the probability of picking a King on the second draw will be different than if you picked a King on the first draw. With all 52 cards in the deck, the probability of getting a king is 4/52 = 1/13. It changes to 4/51 after we picked out an ace for the first card (and didn't put that first card back).

Answer:

Josue is Write

Step-by-step explanation:

64 x .10 = 6.4 in savings while $10 off is better

Answer:

3.3 hours.

Step-by-step explanation:

We have been given that a scientist is testing a new antibiotic by applying the antibiotic to a colony of 10,000 bacteria. The number of bacteria decreases by 75% every two hours.

Since number of bacteria is decreasing exponentially, so we will use exponential decay function.

[tex]y=a*b^x[/tex], where,

a= Initial value,

b = For decay b is in form (1-r), where r is rate in decimal form.

Let us convert our given rate in decimal form.

[tex]75\%=\frac{75}{100}=0.75[/tex]

As number of bacteria is decreasing every 2 hours, so number of bacteria decreased in 1 hour will be x/2.

Upon substituting our given values in above formula we will get,

[tex]y=10,000(1-0.75)^{\frac{x}{2}}[/tex]

To find the number of hours it will take to for the bacteria colony to decrease to 1000, we will substitute y = 1,000 in our equation.

[tex]1,000=10,000(0.25)^{\frac{x}{2}}[/tex]

Let us divide both sides of our equation by 10,000.

[tex]\frac{1,000}{10,000}=\frac{10,000(0.25)^{\frac{x}{2}}}{10,000}[/tex]

[tex]0.1=(0.25)^{\frac{x}{2}}[/tex]  

Let us take natural log of both sides of our equation.

[tex]ln(0.1)=ln((0.25)^{\frac{x}{2}})[/tex]

[tex]ln(0.1)=\frac{x}{2}*ln(0.25)[/tex]

[tex]-2.302585=\frac{x}{2}*-1.386294[/tex]

[tex]x=\frac{-2.302585}{-1.386294}*2[/tex]

[tex]x=1.660964*2[/tex]

[tex]x=3.3219\approx 3.3[/tex]

Therefore, it will take 3.3 hours  for the bacteria colony to decrease to 1000.

Final answer:

It will take 4 hours for the bacteria colony to decrease from 10,000 to 1,000, considering a 75% decrease every two hours.

Explanation:

To find out how many hours it will take for the bacteria colony to decrease from 10,000 to 1,000 with a 75% decrease every two hours, we can use the formula for exponential decay: [tex]N = N0(1 - r)^t[/tex], where N is the final amount, N0 is the initial amount, r is the rate of decrease (expressed as a decimal), and t is the time in units of the rate's period (in this case, every two hours).

Here, N0 = 10,000, N = 1,000, and r = 0.75. Plugging the values into the formula gives [tex]1,000 = 10,000(1 - 0.75)^t.[/tex]Simplifying, we find [tex](1 - 0.75)^t = 0.1.[/tex]

Solving for t, we find that t equals 2 cycles or 4 hours, because the bacteria population decreases by 75% every 2 hours, and it takes 2 cycles for the population to reach 1,000 from 10,000.

Answer:

Write a formula for P(n) in terms of R(n).

R(n) - E(n)

Write a formula for P(n) in terms of n.

20n - [tex]10\sqrt{n}[/tex]

Step-by-step explanation:

Please rate 5 stars and thanks if the answer is right :)

To calculate Scarlett's profit for selling ponchos, subtract her total expenses from her total revenue using the functions provided. For a specific number of ponchos, plug that number into both the revenue and expense functions and subtract the results.

The student's question deals with the calculation of profit for a business venture, specifically for selling batches of designer ponchos. Given the revenue function R(n) = 20n and the expense function E(n) = 10 √{n}, the profit that Scarlett makes from producing and selling a batch of n ponchos can be calculated by subtracting the total expenses from the total revenue, which is P(n) = R(n) - E(n). To find Scarlett's profit for a specific number of ponchos, simply plug the value of n into both functions and perform the subtraction.

For example, if Scarlett wants to calculate the profit for selling 5 ponchos, the revenue would be R(5) = 20(5) = $100, and the expenses would be E(5) = 10√5. Scarlett's total profit for 5 ponchos would then be P(5) = $100 - 10√5.

Answer:

It is 1/3.

Step-by-step explanation:

The y values are 1/3 of the x values  so the relation  is

y = 1/3 x

Constant of proportionality = 1/3

The constant of proportionality for the given relationship y = 1/3x is (1/3).

Proportionality are of two types one is direct proportion and another is inverse proportion. If two or more two quantities are in proportion they increase or decrease at a constant rate called the constant of proportionality.

We know two quantities are proportional if they increase or decrease by a certain constant rate.

Given when x = 3, y = 1  and when x = 9, y = 3.

∴ We can conclude that x = 3y or y = 1/3x.

So, the constant of proportionality is 1/3.

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Answer:

658.8 miles

Step-by-step explanation:

first divide 54.9 by 60. then multiply that by 12 times 60

The car will travel 658.8 miles if it continues at the same speed for 12 hours.

To find out how far the car will travel in 12 hours, we need to multiply the distance traveled in one hour by the number of hours the car will be traveling.

Given that the car travels 54.9 miles in one hour, we can represent this distance as [tex]\( \frac{549}{10} \)[/tex] miles per hour to avoid dealing with decimals. This fraction is equivalent to 54.9 miles.

Now, we multiply this distance by the time duration of 12 hours to find the total distance:

[tex]\[ \text{Total distance} = \text{Distance per hour} \times \text{Number of hours} \][/tex]

[tex]\[ \text{Total distance} = \frac{549}{10} \text{ miles/hr} \times 12 \text{ hr} \][/tex]

[tex]\[ \text{Total distance} = \frac{549 \times 12}{10} \text{ miles} \][/tex]

[tex]\[ \text{Total distance} = \frac{6588}{10} \text{ miles} \][/tex]

[tex]\[ \text{Total distance} = 658.8 \text{ miles} \][/tex]

Therefore, the car will travel 658.8 miles in 12 hours at the same speed.

Answer:

its -2,-6 hope this helps ヾ(•ω•`)o o(*￣▽￣*)ブ

Step-by-step explanation:

Answer: G(x) = 3|x + 2| - 8

Step-by-step explanation:

"a" represents the vertical stretch (or shrink)

"h" represents the x-coordinate of the vertex

"k" represents the y-coordinate of the vertex

F(x) = 3|x - 2| - 5

G(x) = 3(x - 2 + 4| - 5 - 3

       = 3|x + 2| - 8

Answer:

g(x)=3 lx+2l-8

:)

Answer:

Option C is correct.

Best financial approach: pay off debts, save for an emergency, save for retirement.

Step-by-step explanation:

It is better to pay off the debts and then the rest of the money must be kept safe for the emergency because it is not necessary that you will have an emergency condition, it can take place or cannot take place. Then, when these two criteria are full filled then the rest of the money should be kept for the retirement.

Therefore, for the best financial approach :

[tex]\text{pay off debt} \rightarrow \text{save for an emergency} \rightarrow \text{save for retirement}[/tex]

Parallel lines have the same a slope. Therefore if

k: y = 3x - 6 → slope = 3

and l: y = mx + b

l || k ⇔ m = 3

l: y = 3x + b

We have the point (-6, -7). Put the coordinates to the equation:

-7 = 3(-6) + b

-7 = -18 + b    add 18 to both sides

11 = b → b = 11

Answer:

No, the number of sit-ups Anna does, are not proportional to the time she spends doing them.

Step-by-step explanation:

When Anna starts, she does a sit-up every 22 seconds. But, as she gets tired, each sit-up takes longer and longer to do.

So, no, the number of sit-ups Anna does, are not proportional to the time she spends doing them. his is because for being proportional, the decreasing or increasing rate should be constant but here, it is not.

Answer:she spends 22 seconds