Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $25 worth of gasoline. Her friend Melody pays for one-half the cost of the car rental only. Write an expression you could use to determine how much Sophie spent.

Answer:

the answer is a. x^2-7x-18

first you distribute the x in the first equation getting you x^2 +2x, then you distributed the -9 getting -9x-18. you then put those together, x^2+2x-9x-18. Finally you simplify to x^2-7x-18

Answer:

40

Step-by-step explanation:

15 divided by 3 is 5 and since it is 5 per hour 8 times 5 is 40

Answer:

$40

Step-by-step explanation:

So if Logan's rate is $15/3 hours = $5 per hour,

Then $5 × 8 hours = $40 in total.

Hope this helps! Have a nice day!

Answer:

2y+4x-18

Step-by-step explanation:

4(x-5) +2(y + 6) -10

4x-20+2y+12-10

4x+2y-18

The expression 4(x-5) + 2(y+6) - 10 simplifies to 4x + 2y - 18 using the distributive property and combining like terms. Answer choice (A) is the correct one.

To simplify the expression 4(x - 5) + 2(y + 6) - 10, you need to use the distributive property. This property allows you to multiply a number outside of a bracket with each term inside the bracket.

First, distribute 4 into (x - 5) which gives you 4x - 20. Then distribute 2 into (y + 6) which gives you 2y + 12. Now, you have 4x - 20 + 2y + 12 - 10

Combine like terms by adding or subtracting them. In this case, -20, +12 and -10 are like terms. When you add these together, you get -18. So, the simplified expression becomes 4x + 2y - 18. Therefore, answer choice (A) is correct.

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Answer:

(90)(7) ⇒ the error was multiplying 90 and 7.

Step-by-step explanation:

12(597) = 12(500 + 90 + 7)

            = 12(500) + (90)(7)

             = 6000 + 630

                = 6,630

The part in bold shows where the error is. It was not correct to multiply 90 and 7.

The process was to proceed as follows:

12(597) = 12(500 + 90 + 7)

            = 12(500) + 12(90) + 12(7)

             = 6000 + 1080 + 84

                = 7,164

Answer: Kirera did not multiply each added by 12.

Answer:

The answer is 42394

Cindy's reading rate is consistent at 1.25 pages per minute, which is the constant of proportionality for the different reading sessions mentioned.

The question is asking for the constant of proportionality in the context of how many pages Cindy can read over a period of time. To find the constant of proportionality, we take the number of pages read and divide it by the time taken to read those pages. For 10 pages in 8 minutes, the constant is 1.25 pages per minute. For 15 pages in 12 minutes, the constant is also 1.25 pages per minute, and for 25 pages in 20 minutes, the constant remains unchanged at 1.25 pages per minute.

The constant of proportionality is the rate at which Cindy reads, which is consistent across the different amounts of time and pages given. It represents the number of pages she can read in one minute and serves as a useful measure to determine how long it will take to read a certain number of pages or how many pages can be read in a given timeframe.

Answer:

a1 = 2; an = a(n-1) + 3/2

Step-by-step explanation:

Common difference = 7/2 - 2

= 7/2 - 4/2

= 3/2  

(Also 5 - 7/2 = 3/2.)

First term a1 = 2

So the formula is  a1 = 2; an = a(n-1) + 3/2 which is the first choice.

The recursive formula for the arithmatic sequence is a₁ = 2, aⁿ = aⁿ⁻¹ + 3/2.

A recursive formula is a formula that defines any tern of a sequence in terms ofits preceding term(s).

Now the given series is-

2,7/2,5,13/2,......

Here the the first term of the series is 2

⇒a₁ = 2

Common difference (d) = (7/2) - 2 = 3/2

Now the recursive formula of an arithmatic sequence is given as,

aⁿ = aⁿ⁻¹ + d

Putting the values,

aⁿ = aⁿ⁻¹ + 3/2

Hence,the recursive formula for the arithmatic sequence is a₁ = 2, aⁿ = aⁿ⁻¹ + 3/2.

More about recursive formula :

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Answer: x=72, y=26

Step-by-step explanation:

Since a line is 180°, we can do:

2x+10+y=180

2x+y=170

Since a triangle is 180° also, we can do:

x+y+82=180

x+y=98

If we subtract x+y=98 from 2x+y=170, we get:

2x+y=170

x+y=98

x=72

If we insert x=72 into x+y=98, we get:

72+y=98

y=26

We can check our answer by inserting x=72 and y=26 into x+y+82=180

72+26+82=180

98+82=180

180=180

To solve this problem, we must first find the fraction of action figures that Lee has gotten so far.  To do this, we will represent the number of action figures that Lee currently has in the numerator divided by the denominator, the total number of action figures that Lee is attempting to collect.

First, we must recognize that Lee currently has 11 action figures plus the 3 that he got for his birthday.  To find the total number of action figures that Lee has, we must add together these two parts.  

11+3 = 14

Therefore, Lee has 14 action figures (this will become the numerator of the fraction).  The denominator of the fraction is the total number of action figures, which we are given is 22.

Thus, our fraction is 14/22.

To convert this into a decimal, we can simply divide the numerator of the fraction by the denominator of the fraction, which gives us:

14/22 = 0.636363636

Therefore, your answer is approximately 0.636.

Hope this helps!

Answer:

2.8 inches will be the approximate length of the y.

Step-by-step explanation:

volume = 1/2 x A x C x H = 4 cubic inches

Because the volume of the triangular block is 4 cubic inches.

Formula:  

A x C = Base x Height

Answer:

2.8 in

Step-by-step explanation:

Answer:

x=52

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

156 divided by 3= 52

3*52=156

Answer:

8 green

Step-by-step explanation:

orange: green

1 :2

1+2 = 3 so she has 3 total picks

12/3 =4

So we need to multiply by 4

1*4 : 2*4    total pick 3*4

4:8  12 total picks

4 orange  8 green   12 total

Answer:

No

Step-by-step explanation:

Note that:

(x , y) = (6 , -3) ∴ x = 6, y = -3

Plug in 6 for x in the equation, and -3 for y.

y = -2x

(-3) = (-2)(6)

Simplify. Multiply.

(-3) = (-12)

-3 ≠ -12 ∴ (6 , -3) is not a solution for y = -2x

~

Answer:

False

Step-by-step explanation:

(6,-3)  means x=6 and y=-3

Substitute into the equation

y= -2x

-3 = -2(6)

-3 = -12

This is false

Answer:

12 liters of water

Step-by-step explanation:

3 times 4 =12 liters

Answer:

12 liters

Step-by-step explanation:

You have 3 pots and 4 liters in each so you would multiply these two numbers and you will get 12:

3 × 4 = 12

Answer:

(C) (x+1) is not a factor

Step-by-step explanation:

To show that x+1 is not a factor, in other words to show that the polynomial cannot be written as a product

[tex](x+1)\cdot(some\,\,quadratic)=-3x^3-2x^2+1[/tex]

it suffices to test that x=-1 is not a root of the original cubic:

[tex]-3x^3-2x^2+1|_{x=-1}=-3(-1)^3-2(-1)^2+1=2\neq 0[/tex]

which is hereby shown and the option (A) is out.

Option (B) is non-sense.

Option (C) is the correct answer.

After applying the Factor Theorem, we find that substituting -1 into the polynomial [tex]-3x^3 - 2x^2 + 1[/tex] does not yield zero; hence, (x + 1) is not a factor, option C.

The student has asked whether (x + 1) is a factor of the polynomial [tex]-3x^3 - 2x^2 + 1[/tex]. To determine if (x + 1) is indeed a factor, one could perform polynomial division or apply the Factor Theorem. According to the Factor Theorem, (x + 1) is a factor if and only if substituting -1 for x in the polynomial yields zero. Substituting, we get:

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

Since the result is not zero, (x + 1) is not a factor of the polynomial. So, the correct answer to the student's question is option C: (x + 1) is not a factor.

Answer:

-7.32 < x < -0.68  0r -4-√11 < x < √11 - 4

Step-by-step explanation:

The given inequality is x^2 + 8x + 5 < 0

Here we cannot factorize, so we need to use the quadratic formula to find the solution.

The quadratic formula x = [tex]\frac{-b  +/- \sqrt{b^2 - 4ac)} }{2a}[/tex]

Here a = 1 , b = 8 and c = 5

Plug in these values in the formula, we get

x = -8 ± √(8)^2 - 4*1*5)  ÷ 2(1)

x = (-8 ±√44)/2

x = (-8 ±2√11)/2

x = -4 ± √11

There are two values for x.

x = -4 + √11 and x = -4-√11

√10 = 3.16

So x = -4 + 3.32        and x = -4 - 3.32

x =-0.68                   and   x = -7.32

This means

-7.32 < x < -0.68  0r -4-√11 < x < √11 - 4

Thank you.

Answer:

[tex]-4-\sqrt{11} <[/tex] x [tex]-4+\sqrt{11}[/tex]

Step-by-step explanation:

We are given the following quadratic inequality by applying the quadratic formula to solve it (since it can not be factorized) and then express it in an interval notation:

[tex]x^2+8x+5<0[/tex]

We know the quadratic formula:

[tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

Putting in the values to get:

[tex]x=\frac{-8+-\sqrt{8^2-4(1)(5)} }{2(1)} \\\\x=\frac{-8+-\sqrt{44} }{2}[/tex]

[tex]x=-4-\sqrt{11} , x=-4+\sqrt{11}[/tex]

Therefore, the interval notation for the given quadratic inequality for x will be:

[tex]-4-\sqrt{11} <[/tex] x [tex]-4+\sqrt{11}[/tex].

The change in low outside temperature from Tuesday to Wednesday was -1.4°C, indicating a decrease of 1.4°C. Converting 88°F to Celsius yields approximately 31.1°C. The Celsius scale is known as 'centigrade' due to its 100-degree division between water's freezing and boiling points.

To solve for the change in low outside temperature from Tuesday to Wednesday, we subtract the low temperature for Wednesday from the low temperature for Tuesday:

Change in temperature = Temperature on Wednesday - Temperature on Tuesday

Change in temperature = (-10°C) - (-8.6°C)

Change in temperature = -10°C + 8.6°C = -1.4°C

Thus, the low outside temperature changed by -1.4°C from Tuesday to Wednesday, which means it dropped by 1.4°C.

1. To convert the temperature from Fahrenheit to Celsius:
C = (°F - 32) / 1.8. So on a warm day of 88°F:
C = (88°F - 32) / 1.8 = 56°F / 1.8 = 31.1°C approximately.

2. The Celsius scale is called "centigrade" because it is based on a scale of 100 degrees between the freezing and boiling points of water.

3. If the outside temperature is steady at 10°C and you want to maintain a shorts-and-short-sleeves comfortable inside temperature of 22°C compared to a cooler 13°C, you would need to expend more energy to maintain the higher temperature.

The difference in energy required will depend on factors like the insulation of the building, the heating system's efficiency, and the duration for which the higher temperature is maintained.

4. When a cold front causes a drop of 40.0°F:
Celsius decrease = 40.0°F / 1.8 = 22.2°C approximately.

5. Any change in temperature in Fahrenheit degrees is nine-fifths the change in Celsius degrees:
(Change in °F) * (5/9) = Change in °C
Thus, a change in Fahrenheit degrees is 9/5 times a change in Celsius degrees.

The correct answer is -1.4⁰.

To find the change in the low outside temperature from Tuesday to Wednesday, we need to subtract the temperature on Tuesday from the temperature on Wednesday.

The temperature on Tuesday is -8.6 degrees Celsius, and the temperature on Wednesday is -10 degrees Celsius.

To subtract -8.6 from -10, we can rewrite the equation as -10 - (-8.6). When we subtract a negative number, it is the same as adding the positive number. So, -10 - (-8.6) becomes -10 + 8.6.

When we add -10 and 8.6, we get -1.4.

Therefore, the change in the low outside temperature from Tuesday to Wednesday is -1.4 degrees Celsius.

So the correct answer is -1.4⁰.

Answer:

no, its equal. 5/7 = 0.7142 which is 71%

Step-by-step explanation:

Answer:

x>-1 and x<-1

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

11/18-1/6

The first step is to get a common denominator, which is 18.  We can multiply 1/6 by 3/3 to get the denominator to 18

11/18 - 1/6 *3/3

11/18 - 3/18

8/18

Now we can simplify the fraction by dividing the top and bottom by 2

4/9

Answer:

4/9

Step-by-step explanation:

11/18 - 1/6

1 times by 3

6 times by 3

11/18-3/18

8/18

8 divided by 2

18 divided by 2

4/9

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

549 - 36.5 = 512.5mb were trf

512.5/125 = 4.1mb per second

Answer:

Step-by-step explanation:

The speed of the transfer was 4.1 megabytes per second. It took the drive 235 seconds to be completely full.

Answer:

Given: If triangle CFH is similar to triangle TDM with a scale factor of 4: 5.

Similar triangle states that the two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

then by definition, we have;

[tex]\frac{CF}{TD}= \frac{FH}{DM} =\frac{CH}{TM}= \frac{4}{5}[/tex]  .....[1]

From the figure, we have;

CF = x +7 , FH = x-1 , CH = x+3 , TD = 2x -13 , DM = x+6 and TM = x+ 11

Solve for x;

[1] ⇒ [tex]\frac{CF}{TD} =\frac{4}{5}[/tex]

Substitute the value of CF and TD to solve for x;

[tex]\frac{x+7}{2x-13} = \frac{4}{5}[/tex]

By cross multiply we get;

[tex]5 (x+7) = 4(2x-13)[/tex]

Using distributive property : [tex]a\cdot(b+c) = a\cdot b + a\cdot c[/tex]

5x + 35 = 8x - 52

Subtract 35 on both sides we get;

5x + 35 -35 = 8x - 52 -35

Simplify:

5x = 8x - 87

Subtract 8x on both sides we get;

5x -8x = 8x -87 -8x

Simplify:

-3x = -87

Divide both sides by -3 we get;

x = 29

To find the perimeter of triangle CFH;

Sides are:

CF = x + 7 = 29 + 7 = 36 units

CH = x+3 = 29 +3 = 32 units

FH = x -1 = 29 -1 = 28 cm.

Perimeter of any triangle is the sum of all the sides of the triangle.

Perimeter of triangle CFH = CF + CH + FH = 36 + 32 + 28 = 96 units

therefore, the perimeter of triangle CFH is, 96 units.

Without the perimeter of triangle TDM, we can't calculate the perimeter of triangle CFH using only the scale factor. When additional information is provided such as the length of a side in both triangles, it will be possible.

The subject of this question is mathematics, specifically regarding similar triangles and the calculation of a triangle's perimeter when the scale factor is provided. In this case, the triangles CFH and TDM are similar with a scale factor of 4:5.

When triangles are similar, corresponding sides are proportional which means one side of triangle CFH is 4/5 the length of the corresponding side of triangle TDM. If we were given the perimeter of triangle TDM, we would multiply by the ratio (4/5 or 0.8) to get the perimeter of triangle CFH. However, without this extra information, we aren't able to provide the exact perimeter of triangle CFH.

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Answer:

110

Step-by-step explanation:

cause you would have to multiply the you bought to the cost of them and you add those two totals together

Answer:110

Step-by-step explanation:

Answer:

8, 3 pointers =24 points 4, 2 pointers = 8points 24+8= 34 points

Step-by-step explanation:

Answer:

8 baskets worth 3 points each and 4 baskets worth 2 points each = 32 points

Answer:

p<4

Step-by-step explanation:

4p+2<2(p+5)

The first step is to distribute the 2

4p + 2 < 2p + 2*5

4p +2 < 2p + 10

Subtract 2p from each side

4p +2 < 2p + 10

4p-2p +2 < 2p-2p +10

2p+2 <10

Subtract 2 from each side

2p+2-2<10-2

2p<8

Divide each side by 2

2p/2 <8/2

p<4

[tex]4p+2<2(p+5)\qquad\text{divide both sides by 2}\\\\\dfrac{4p}{2}+\dfrac{2}{2}<\dfrac{2(p+5)}{2}\\\\2p+1<p+5\qquad\text{subtract 1 from both sides}\\\\2p<p+4\qquad\text{subtract p from both sides}\\\\\boxed{p<4}[/tex]

Answer:

1. BD

2. 55°

3. The shape was reflected over both axes

This what I answered

Step-by-step explanation:

Answer:

D:2/5

Step-by-step explanation:

There are 4 vegetables to choose from; 2 broccoli and 2 carrots.  

This is out of 10 covered dishes.

This gives the probability 4/10, which simplifies to 2/5.

Answer : The correct option is, (D) [tex]\frac{2}{5}[/tex]

Step-by-step explanation :

Probability : It is defined as the extent to which an event is likely to occur. That means, it is measured by the ratio of the favorable outcomes to the total number of possible outcomes.

[tex]\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}[/tex]

Total favorable outcomes are, 2 broccoli, 2 cake, 2 carrot, 1 chicken, 2 fish, and 1 meat loaf = 10

Favorable outcomes of choosing a vegetable are, 2 broccoli and 2 carrot

Number of favorable outcomes of choosing a vegetable = 4

Total number of outcomes = 10

[tex]\text{Probability}=\frac{\text{Number of favorable outcomes for a multiple of 3}}{\text{Total number of favorable outcomes}}[/tex]

[tex]\text{Probability}=\frac{4}{10}[/tex]

[tex]\text{Probability}=\frac{2}{5}[/tex]

Therefore, the probability of choosing a vegetable is, [tex]\frac{2}{5}[/tex]

Answer:

The points form a equilateral triangle of side 5.78 units.

Step-by-step explanation:

The length of the sides of the triangle is calculated using the distance formula.

The distance between the points (x₁,y₁) and (x₂,y₂) is

[tex]d= \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

Now,

AB = [tex]\sqrt{(11.11-14)^{2}+(15-10)^{2}}=\sqrt{8.3521+25} = \sqrt{33.3521}=5.78[/tex]

BC = [tex]\sqrt{(8.22-11.11)^{2}+(10-15)^{2}}=\sqrt{8.3521+25} = \sqrt{33.3521}=5.78[/tex]

CA =  [tex]\sqrt{(8.22-14)^{2}+(10-10)^{2}}=5.78[/tex]

The length of the sides of the triangle is 5.78. All the sides are equal in length. It is an equilateral triangle.

Answer:

No solutions

Step-by-step explanation:

y = -1/4 x+2

3y = -3/4 x -6

We can use substitution since the first equation is solved for y

Every time there is a y in the second equation, replace it with -1/4 x +2

3 (-1/4 x+2) = -3/4 x -6

Distribute

-3/4 x +6 = -3/4 x-6

Add 3/4 x to each side

-3/4 x + 3/4 x +6 = -3/4 x + 3/4x-6

6 = -6

Since this not a true statement, the system of equations has no solutions