So far, Greg has driven 5.1 miles. He needs to drive a total of 25 miles. How many more miles must Greg drive?

Answer:

(a)

Step-by-step explanation:

The line y = x + 1 has a solid circle at x = 2 indicating that x is valid for this value, thus

y = x + 1 for x ≤ 2

The line y = x + 2 has an open circle at x = 2 indicating that x = 2 is not part of the solution but that values greater than 2 are valid, that is

y = x + 2 for x > 2

The definition for the function is (a)

Answer:

[tex]2^{n-1}[/tex]

Step-by-step explanation:

Square 1 has 2^0 pennies.

Square 2 has 2^1 pennies.

Square 3 has 2^2 pennies.

Square 4 has 2^3 pennies. The exponent of 2 is 1 less than the square number, so ...

Square n has 2^(n-1) pennies.

Answer:

the answer is c

Step-by-step explanation:

The events are illustrations of probability, and the events A and B are not independent events because P(A∣B) ≠ P(A)

From the complete table, we have the following parameter:

P(A∣B) ≠ P(A)

Two events A and B are independent if

P(A∣B) = P(A)

Given that:

P(A∣B) ≠ P(A)

It means that the events are not independent.

Hence, the events A and B are not independent events because P(A∣B) ≠ P(A)

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Answer:

Step-by-step explanation:

This may look daunting, but let us approach it step by step.

multiply 1/10 by x - 3

0.1x - 0.3 = -40

In algebra, the goal is always to undo all the operations and get back to the original problem so that the mystery value can be determined. In this case since 0.3 was removed, we must add it back.

0.1x = -39.7

0.1x/0.1 = x

39.7/0.1 = -397

Answer seems to be B. -397, but we should still check it.

0.1(-397) - 0.3 = -40

-39.7 - 0.3 = -40

-40 = -40 Correct

If the answer was incorrect, this would show that there had been a flaw in our calculations. But everything checks out, so we are done!

Our final answer is B. -397.

PLEASE MARK BRAINLIEST

Answer:

The answer is -397

Step-by-step explanation:

Answer:

The measure of angle y is [tex]m\angle y=54\°[/tex]

Step-by-step explanation:

we know that

The inscribed angle is half that of the arc it comprises.

[tex]m\angle y=\frac{1}{2}(108\°)=54\°[/tex]

Answer:

B

C

A

Step-by-step explanation:

Find the value of x in each equation then compare the solutions from the least to the greatest

In A

5( x-6)+3x=3/4(2x-8) ------------Open brackets

5x-30+3x=3/2x-6

5x+3x-30=3/2x-6

8x-3/2x=-6+30---------------collect like terms

16x-3x=48

13x=48-----------------dived both sides by 13

x=48/13 = 3.7

In B

2.7(5.1x+4.9)=3.2+28.9-------------open bracket

13.77x+13.23=32.1

13.77x=32.1-13.23---------------collect like terms

13.77x=18.87

x=18.87/13.77----------------------divide both sides by 13.77

x=1.37

In C

5(11x-18)=3(2x+7)--------------------open brackets

55x-90=6x+21

55x-6x=21+90-----------------------collect like terms

49x=111----------------------------------divide both sides by 49 to get x

x=111/49 = 2.27

From the solutions, the least value of x is in B, then C ,and finally A

Equation B:[tex]\(x \approx 1.371\)[/tex]

Equation C:[tex]\(x \approx 2.2653\)[/tex]

Equation A: [tex]\(x = \frac{48}{13}\)[/tex]

Order from least to greatest: B, C, A.

To solve each equation, let's start by simplifying each side of the equation step by step.

Equation A:[tex]\(5(x-6) + 3x = \frac{3}{4}(2x - 8)\)[/tex]

Step 1: Distribute the numbers:

[tex]\(5x - 30 + 3x = \frac{3}{4}(2x) - \frac{3}{4}(8)\)[/tex]

Step 2: Combine like terms:

[tex]\(8x - 30 = \frac{3}{2}x - 6\)[/tex]

Step 3: To get rid of the fraction, multiply both sides by 2:

(16x - 60 = 3x - 12)

Step 4: Move all (x) terms to one side by subtracting (3x) from both sides:

(16x - 3x - 60 = -12)

Step 5: Combine like terms:

(13x - 60 = -12)

Step 6: Add 60 to both sides to isolate (x):

13x = 48

Step 7: Divide both sides by 13 to solve for (x):

[tex]\(x = \frac{48}{13}\)[/tex]

Equation B: 2.7(5.1x + 4.9) = 3.2 + 28.9

Step 1: Distribute the number:

13.77x + 13.23 = 32.1

Step 2: Move the constant to the other side by subtracting 13.23 from both sides:

13.77x = 18.87

Step 3: Divide both sides by 13.77 to solve for (x):

x ≈ 1.371

Equation C: (5(11x - 18) = 3(2x + 7)

Step 1: Distribute the numbers:

55x - 90 = 6x + 21

Step 2: Move all (x) terms to one side by subtracting (6x) from both sides:

55x - 6x - 90 = 21

Step 3: Combine like terms:

49x - 90 = 21

Step 4: Add 90 to both sides to isolate (x):

49x = 111

Step 5: Divide both sides by 49 to solve for (x):

x ≈ 2.2653

Now, let's order these solutions from least to greatest:

[tex]\(x= 1.371\)[/tex] (from Equation B)

[tex]\(x = 2.2653\)[/tex] (from Equation C)

[tex]\(x = \frac{48}{13}\)[/tex] (from Equation A)

So, the order from least to greatest based on their solutions is Equation B, Equation C, and then Equation A.

Answer:

1/4 bag for each batch.

Step-by-step explanation:

Start with 4 bags. If the cake requires 1/4 bag, then 3 3/4 bags of flour are left over for the cookies.  That's rather a nice number when you are dealing with 15 batches of cookies.

Start by changing the 3 3/4 into a decimal.

3 3/4 = 3.75

Now divide 3.75 by 15

3.75 / 15 = 0.25 bags which is 1/4 bag. You only have to come up with one value so this one will do.

Answer:

y = -4x - 2

Step-by-step explanation:

Parallel has same slope

so

y - 2 = -4(x + 1)

y - 2 = -4x - 4

y = -4x - 2

Equation

y = -4x - 2

Answer:

B. <Q = <R

Step-by-step explanation:

Angles are related to their intercepted arcs. An intercepted arc is found by finding the arc segment on a circle whose endpoints connect with the segments that make up an angle.

In this case, TQ and SQ make up <Q, so TS is the intercepted arc of <Q. However, TR and SR make up angle <R as well, making TS the intercepted arc of <R as well.

This means that because the angles share an intercepted arc, they are congruent.

Final answer:

The probability that a student takes theatre given that the student is taking choir is found using conditional probability and is calculated to be 0.3, or 30%.

Explanation:

To find the probability that a student takes theatre given that the student is taking choir, we use the definition of conditional probability. In this scenario, the probability of a student taking theatre and choir (joint probability) is given as 0.078, and the probability of a student taking choir (marginal probability) is 0.26.

The formula for conditional probability is:

P(A | B) = P(A and B) / P(B)

Let A represent the event of a student taking theatre, and B represent the event of a student taking choir. Substituting the given values into the formula yields:

P(A | B) = 0.078 / 0.26

Performing the division gives us:

P(A | B) = 0.3

Therefore, the probability that a student takes theatre given that the student is taking choir is 0.3, or 30%.

Final answer:

To calculate the number of different combinations of adult and children's tickets that would total $100, we can set up an equation: 5x + 3y = 100. We can find possible values of 'x' and 'y' that satisfy the equation. There are 6 different combinations of adult and children's tickets that would have totaled $100.

Explanation:

To calculate the number of different combinations of adult and children's tickets that would total $100, we can set up an equation:

5x + 3y = 100

Where 'x' represents the number of adult tickets and 'y' represents the number of children's tickets. We need to find whole number solutions for 'x' and 'y'.

We can start by finding the possible values of 'x' and 'y' that satisfy the equation and add up to $100. The possible combinations are:

x = 0, y = 33

x = 5, y = 31

x = 10, y = 29

x = 15, y = 27

x = 20, y = 25

x = 25, y = 23

Therefore, there are a total of 6 different combinations of adult and children's tickets that would have totaled $100.

The answere is 213 boxes

If you add 3 dozens to 14 dozens of boxes of envilopes , then you get 17 dozens of boxes of envilopes.Then of you sum up the 1/2 (2/4 ) with the 1/4.You get 3/4. Finally, you add 17 dozens to 3/4 of a dozen you get 17 3/4 dozens( wich is 213 boxes )

Answer:

Step-by-step explanation:

number3

Answer:

28

Step-by-step explanation:

If we set up our equation using the unknown number of hot dogs and corn dogs with their individual prices attached to them, we can set the sum of them equal to $201.  We know that a hot dog costs $3, so we can represent hot dogs monetarily by attaching the cost of a single hot dog to the h.  For example, if a hot dog costs $3, and we represent the expression as 3h, with h being the number of hot dogs sold, if we sell 4 hot dogs at $3 apiece, we make $12.  If we sell 6 hot dogs we will make $18.  The same goes for the corn dogs.  We don't know how many corn dogs or hot dogs we sold, but we do know that the sales of both made $201.  So our expression for that is

3h + 1.50c = 201

That's great, but we have too many unknowns, and that's a problem.  So let's look back up to where we are told that the number of hot dogs is 3 less than 2 times the number of corn dogs.  "3 less than" is -3 algebraically.  "Twice the number" is 2times  and the words "is" and "was" represent the = sign.  So putting those words into an algebraic equation looks like this:

h = 2c - 3

That says "the number of hot dogs was twice the number of corn dogs less 3".  Now that we have an expression for hot dogs we can sub it into our money equation in place of h:

3h + 1.5c = 201 becomes 3(2c - 3) + 1.5c = 201

Now we have an equation with only c's in it.  

Distribute through the parenthesis to get

6c - 9 + 1.5c = 201

Simplify to 7.5c = 210

Now divide by 7.5 to get that c = 28.

Now that we know that, we go back with that number and sub it in for c in

h = 2c - 3 -->  h = 2(28) - 3 gives us that the number of hot dogs sold was 53

The total number of corn dogs sold is 28 corn dogs and number of hotdogs is 53

let

h = number of hotdogs

c = number of corndogs.

cost of hotdog = $3

corn dog = $1.50

The equation:

3h + 1.50c = 201 (1)

h = 2c - 3 (2)

substitute (2) into (1)

3(2c - 3) + 1.50c = 201

6c - 9 + 1.50c = 201

7.50c - 9 = 201

7.50c = 201 + 9

7.50c = 210

c = 210/7.50

c = 28

Therefore,

h = 2c - 3

= 2(28) - 3

= 56 - 3

= 53

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Answer:

The balance of Dianne's register should be $359.41

Step-by-step explanation:

We can begin at the ending balance on the bank statement at $578.30

Then a check is written for $219.25, so a debit

Next a deposit is made for $140.36, so a credit

Then a withdrawal is made for $140.00, so a debit

This means we can make the equation

[tex]578.30-219.25+140.36-140.00=359.41[/tex]

let's recall that a cube is just a rectangular prism with all equal sides, check picture below.

[tex]\bf \textit{volume of a cube}\\\\ V=s^3~~ \begin{cases} s=&length~of\\ &a~side\\ \cline{1-2} V=&27000 \end{cases}\implies 27000=s^3\implies \sqrt[3]{27000}=s\implies 30=s \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a cube}\\\\ SA=6s~~\begin{cases} s=&length~of\\ &a~side\\ \cline{1-2} s=&30 \end{cases}\implies SA=6(30)\implies SA=180[/tex]

Answer:

no

Step-by-step explanation:

 Nathan has 6 letters in his name so he has a higher chance of winning

No, Katie has the advantage.

Katie has 5 distinct letters.

Nathan has 4 distinct letters.

They have one overlap (a).

Katie can expect to win 4 out of 26 games.

Nathan can expect to win 3 out of 26 games.

Since Katie has more distinct letters, she has the advantage, so it is not a fair game.

Answer:

20, 26, 35, 18

Step-by-step explanation:

So starting at row 129, we look at the sequence two-digits at a time without overlapping.  If that number is between 01 and 43, then they get selected.

The first two digits are 20.  That fits between 01 and 43, so that member gets selected.

Next, we have 26.  That also fits.

After that we have 64.  Nope, too high.

98 and 44 are also too high.

35 fits though.  So does 18.

So the members that get selected are 20, 26, 35, 18.

Answer:

[tex]1.789*10^{3}[/tex]

Answer: 1.789 × 10 to the third power

Step-by-step explanation: the answer would be 1.789 x 10 to the third power because the A term has to be between 1 and 10

Answer:

A

Step-by-step explanation:

The volume (V) of a pyramid is

V = [tex]\frac{1}{3}[/tex] area of base × perpendicular height (h)

area of square base = 4² = 16 and h = 4, hence

V = [tex]\frac{1}{3}[/tex] × 16 × 4 = [tex]\frac{64}{3}[/tex] = 21 [tex]\frac{1}{3}[/tex] ft³

Answer:

D. 100 percent

Step-by-step explanation:

it is 100 percent because the reservoir is putting out 600k, but loses 300k, which would be easy to think it would be 50 percent because 300k is half of 600k, but however its peek outage is putting out 600k, therefore 600k = 600k, 100%.

Answer:

[tex]A=\$164,944.20[/tex]

Step-by-step explanation:

we know that

[tex]A=V(1+r)^{Y}[/tex]

In this problem we have

[tex]r=5\%=0.05[/tex]

[tex]V=\$135,700[/tex]

[tex]Y=4\ years[/tex]

substitute in the formula and solve for A

[tex]A=\$135,700(1+0.05)^{4}=\$164,944.20[/tex]

26 different outcomes include at least two heads.

There are [tex]26[/tex] different outcomes that include at least two heads when a coin is tossed [tex]5[/tex] times.

The total number of outcomes when a coin is tossed [tex]5[/tex] times is [tex]\(2^5 = 32\)[/tex], since each toss has [tex]2[/tex] possible outcomes (heads or tails).

To find the number of outcomes with at least two heads, we can find the total number of outcomes with exactly one head and no heads, and subtract that from the total number of outcomes.

1. Number of outcomes with no heads: There is only [tex]1[/tex] outcome with no heads ([tex]5[/tex] tails).

2. Number of outcomes with exactly one head: This can be calculated using combinations. There are [tex]5[/tex] ways to choose which toss will be heads, and for each of these, the remaining [tex]4[/tex] tosses must be tails. So, there are [tex]\(5 \times 1 = 5\)[/tex]outcomes with exactly one head.

Therefore, the number of outcomes with at least two heads is:

[tex]\[ 32 - 1 - 5 = 26 \][/tex]

Answer:

A. 27 π cubic inches

Step-by-step explanation:

The volume of a cylinder is calculated using the formula;

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

From the given information, the smallest candle has a radius of 0.5 inches and a height of 3 inches.

We substitute [tex]r=0.5[/tex] and [tex]h=3[/tex] into the given formula.

The vlume of the smallest candle is

[tex]Volume=\pi \times0.5^2\times 3[/tex]

[tex]Volume=\frac{3}{4}\pi in^3[/tex]

from the given information, the other two candles are scaled versions of the smallest, with scale factors of 2 and 3.

The volume of the other two candles will be [tex]2^3\times \frac{3}{4}\pi=6\pi in^3[/tex] and [tex]3^3\times \frac{3}{4}\pi=\frac{81}{4}\pi in^3[/tex]

The wax needed to create one set of candle is

[tex]\frac{3}{4}\pi+6\pi+\frac{81}{4}\pi=27\pi\: in^3[/tex]

The correct answer is A

Answer:

27 pi in³

Step-by-step explanation:

I just took a test on Plato/Edmentum with this question and this was the right answer

~Please mark me as brainliest :)

Answer:

B. 4n+2

Step-by-step explanation:

You are given the pattern 6, 10, 14, 18, 22

Rewrite it as

[tex]a_1=6\\ \\a_2=10\\ \\a_3=14\\ \\a_4=18\\ \\a_5=22[/tex]

Note that

[tex]a_2-a_1=a_3-a_2=a_4-a_3=a_5-a_4=4[/tex]

This means that given pattern is a part of arithmetic sequence with

[tex]a_1=6\\ \\d=4[/tex]

So, the nth term of this arithmetic sequence is

[tex]a_n=a_1+(n-1)d\\ \\a_n=6+4(n-1)\\ \\a_n=6+4n-4\\ \\a_n=4n+2[/tex]

8(-1) = -8

When a positive and a negative number is being multiplied the product is always negative, but when a negative and a negative number is being multiplied the product is positive

Hope this helped!

~Just a girl in love with Shawn Mendes

The answer is does matter.

Answer:

Part 1) [tex]sin(\theta)=\frac{\sqrt{10}}{10}[/tex]

Part 2) [tex]cos(\theta)=-3\frac{\sqrt{10}}{10}[/tex]

Part 3) [tex]tan(\theta)=-1/3[/tex]

Step-by-step explanation:

we know that

The angle is in the second quadrant  so the sine is positive, the cosine is negative and the tangent is negative

step 1

Find the radius r applying the Pythagoras theorem

[tex]r^{2}=x^{2} +y^{2}[/tex]

substitute the given values

[tex]r^{2}=(-3)^{2} +(1)^{2}[/tex]

[tex]r^{2}=10[/tex]

[tex]r=\sqrt{10}\ units[/tex]

step 2

Find the value of [tex]sin(\theta)[/tex]

[tex]sin(\theta)=y/r[/tex]

substitute values

[tex]sin(\theta)=1/\sqrt{10}[/tex]

Simplify

[tex]sin(\theta)=\frac{\sqrt{10}}{10}[/tex]

step 3

Find the value of [tex]cos(\theta)[/tex]

[tex]cos(\theta)=x/r[/tex]

substitute values

[tex]cos(\theta)=-3/\sqrt{10}[/tex]

Simplify

[tex]cos(\theta)=-3\frac{\sqrt{10}}{10}[/tex]

step 4

Find the value of [tex]tan(\theta)[/tex]

[tex]tan(\theta)=y/x[/tex]

substitute values

[tex]tan(\theta)=-1/3[/tex]

$12,282.5 (20000x0.85x0.85x0.85)

The value of the copy machine depreciates at a rate of 15% each year. After calculating the depreciated value for 3 consecutive years, the copy machine that initially cost $20,000 is worth approximately $12,282.50 after 3 years.

The original cost of the copy machine is $20,000. Given that the copy machine depreciates, or loses value, at a rate of 15% each year, we need to calculate the value of the copy machine each year for 3 years by subtracting 15% of its current value.

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Answer:

Jimmy's second dive was [tex]\frac{4}{15}[/tex] of the pool deeper than the first one

Explanation:

We are given that:

First dive was [tex]\frac{1}{3}[/tex] of the way to the bottom

Second dive was [tex]\frac{3}{5}[/tex] of the way to the bottom

We know that the second dive was deeper than the first one since [tex]\frac{3}{5} > \frac{1}{3}[/tex]

To know how much deeper the second dive was compared to the first one, we will simply subtract the depth of the first dive from that of the second one

Therefore:

The second dive was [tex]\frac{3}{5} - \frac{1}{3} = \frac{9}{15} - \frac{5}{15} = \frac{4}{15}[/tex] of the pool deeper than the first one

Hope this helps :)

Final answer:

Jimmy's second dive was 4/15 of the pool deeper than his first dive, calculated by finding a common denominator and subtracting the fractions representing the depth of each dive.

Explanation:

Jimmy's second dive was 3/5 of the way to the bottom of the pool, which is deeper than his first dive at 1/3 of the way. To find out how much deeper the second dive was compared to the first, we subtract the two fractions:

Second dive - First dive = 3/5 - 1/3

To subtract fractions, they must have a common denominator. Multiplying top and bottom of 3/5 by 3 and 1/3 by 5 gives us:

9/15 - 5/15 = 4/15

Therefore, Jimmy's second dive was 4/15 of the pool deeper than his first dive.