It costs serine $30 to start a lemonade stand plus $0.50 per cup of lemonade. She sells cups of the lemonade for $1.25.How many cups of lemonade will serine need to break even?

Answer:

  y = 33°

Step-by-step explanation:

The left side and the right side are parallel, so the angles marked y and 33° are alternate interior angles, hence congruent.

  y = 33°

Answer: the slope of the line is 2

Step-by-step explanation:

The equation of a straight line is represented in the slope intercept form as

y = mx + c

Where

m = slope

c = intercept

The given equation is y = 2x + 4

Comparing it with the slope intercept form given above,

m = 2. Therefore, the slope of the line is 2

Answer:

Step-by-step explanation:

Based on what you have here as the slope we can set the slope formula equal to 34 using the points (0, 8) and (8, c) to solve for c, then use the points (0, 8) and (a, 5) to solve for a.  

c first:

[tex]\frac{c-8}{8-0}=34[/tex] and

[tex]\frac{c-8}{8}=34[/tex] and

c - 8 = 272 s0

c = 280

For a:

[tex]\frac{5-8}{a-0}=34[/tex] and

[tex]\frac{-3}{a}=34[/tex] and

-34a = 3 so

[tex]a=-\frac{3}{34}[/tex]

That seems a little weird, but when you plug those points into the slope formula to solve for the slope, it works out the way it should.

Answer:

114

Step-by-step explanation:

z = (x − μ) / σ

0.93 = (x − 100) / 15

x ≈ 114

Answer:

165 Hamburgers

Step-by-step explanation:

330 divided by 2 is 165

Answer:

1. 9 hours      2. $377     3. 48 hours     4. 235 feet

Step-by-step explanation:

In all cases below, let x represent the variable sought for.

1: 2x/5=3.6,

x=5/2 *3.6=9 hours

2. x-83=294

x=83+294=377

3. x+x/3=4x/3=64

x=64*3/4=48 hours

4. If the gardenview hotel's height  is x, then (x+17)/2 will be the height of the Plaza Hotel.

The combined height  will be x + (x+17)/2 = 361 feet

Multiplying by 2 across board,

2x+x+17=722

3x+17=722

3x =722-17=705

x=705/3=235m

Answer:

It is A. my friend

Step-by-step explanation:

Answer:

[tex]\frac{25}{102}[/tex].

Step-by-step explanation:

Total number of cards in a deck = 52

number of black cards in a deck = 26

Find the probability that both cards are black (without replacement).

Therefore, both events are dependent.

The probability of first card is black = [tex]P_{1}=\frac{26}{52}[/tex]

the probability of second card is black = [tex]P_{2}=\frac{25}{51}[/tex]

[tex]P=\frac{26}{52}[/tex] × [tex]=\frac{25}{51}[/tex]

   = [tex]\frac{1}{2}[/tex] × [tex]\frac{25}{51}[/tex]

   = [tex]\frac{25}{102}[/tex]

The probability that both cards are black is [tex]\frac{25}{102}[/tex].

The probability that both cards picked without replacement are black is [tex] \frac {25}{102}[/tex]

Number of black cards in deck = 26

Total number of cards = 52

Recall :

Probability = (required outcome / Total possible outcomes)

Therefore,

Ist pick :

P(black card) = 26/52

Number of black cards left = 26 - 1 = 25

Total number of cards left = 52 - 1 = 51

2nd pick:

P(black card) = 25 / 51

Therefore, probability that both cards are black is ;

[tex]P(Both \: black) = \frac{26}{52} \times \frac{25}{51} = \frac {25}{102}[/tex]

Learn more :https://brainly.com/question/18153040

Answer:

lt is the graph of x2+3x-4

Answer:

See Graph

Step-by-step explanation:

Find the Solution for

1x2+3x−4=0

using the Quadratic Formula where

a = 1, b = 3, and c = -4

x=−b±sqrtb^2−4ac/2a

x=−3±sqrt3^2−4(1)(−4/2(1)

x=−3±sqrt9−−16/2

x=−3±sqrt25/2

Simplify the Radical:

x=−3±sqrt5/2

We get x=22x=−82

which becomes

x=1

x=−4

Here is the graph:

If the cutting plane was parallel to the circular base of the cones, then we would have a circular cross section (assuming the plane doesnt cut through the vertex). However, we're told than the plane intersects both nappes, or cones, so it's not possible for the plane to be parallel to the base faces. We can rule out choice A.

We can rule out choice C and choice D for similar reasons. An ellipse only forms if the plane only cuts through one cone only, which is the same story for a parabola as well.

Answer:

Short-Term investment: 5000$

Intermediate-Term investment: 65000$

Long-Term investment: 30000$

Step-by-step explanation:

To construct our first equation lets define sort-term bond investment as x, long-term investment as y.

So the equation is:

[tex]x*0,04+(100000-x-y)*0,05+y*0,06=5250[/tex]

From the equation it is found that:

[tex]y=25000+x[/tex]

Instead of y, if we put 25000+x the equation will be as following:

[tex]x*0,04+75000*0,05+(25000+x)*0,06=5250[/tex]

From the equation it is found that:

[tex]x=5000[/tex]

Short-Term investment is 5000$

[tex]x+25000=y[/tex]

Long-Term investment is 30000$

Rest of the money is Intermediate-Term investment 65000$

Answer:

A. increase the sample size

Step-by-step explanation:

By increasing sample size, the amount of data included in the statistical calculation is more. As the size increases, the uncertainty decreases, hence the confidence level on our estimate is higher. By having more sample, we have more accurate analysis, and our margin of error can be reduced as well.

Tim has 84 more postcards than Paul.

Step-by-step explanation:

Given,

Total number of postcards = 280

Let,

Tim's share of postcards = x

Shawn's share of postcards = [tex]\frac{3}{5}\ of\ Tim's\ share[/tex] = [tex]\frac{3}{5}x[/tex]

Paul's share of postcards = [tex]\frac{2}{3}\ of\ Shawn's=\frac{2}{3}(\frac{3}{5}x)=\frac{2}{5}x[/tex]

According to given statement;

[tex]x+\frac{3}{5}x+\frac{2}{5}x=280[/tex]

Taking LCM

[tex]\frac{5x+3x+2x}{5}=280\\\\\frac{10x}{5}=280\\\\2x=280[/tex]

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{280}{2}\\x=140[/tex]

Paul's share = [tex]\frac{2}{5}x=\frac{2}{5}(28)=56[/tex]

Difference = Tim's share - Paul's share

Difference = 140 - 56 = 84 cards

Tim has 84 more postcards than Paul.

Keywords: addition, fraction

Learn more about fractions at:

#LearnwithBrainly

Answer:

[tex]x^3+2x^2-5x-6=\left(x+1\right)\left(x-2\right)\left(x+3\right)[/tex].

Step-by-step explanation:

To find [tex]\frac{x^{3} + 2 x^{2} - 5 x - 6}{x + 1}[/tex] using synthetic division you must:

Write the problem in a division-like format. To do this:

Take the constant term of the divisor with the opposite sign and write it to the left.

Write the coefficients of the dividend to the right.

[tex]\begin{array}{c|cccc}&x^{3}&x^{2}&x^{1}&x^{0}\\-1&1&2&-5&-6\\&&\\\hline&\end{array}[/tex]

Step 1: Write down the first coefficient without changes:

[tex]\begin{array}{c|rrrr}-1&1&2&-5&-6\\&&\\\hline&\1\end{array}[/tex]

Step 2:

Multiply the entry in the left part of the table by the last entry in the result row.

Add the obtained result to the next coefficient of the dividend, and write down the sum.

[tex]\begin{array}{c|rrrr}-1&1&2&-5&-6\\&&\left(-1\right) \cdot 1=-1\\\hline&{1}&{2}+\left({-1}\right)={1}\end{array}[/tex]

Step 3:

Multiply the entry in the left part of the table by the last entry in the result row.

Add the obtained result to the next coefficient of the dividend, and write down the sum.

[tex]\begin{array}{c|rrrr}{-1}&1&2&{-5}&-6\\&&-1&\left({-1}\right) \cdot {1}={-1}\\\hline&1&{1}&\left({-5}\right)+\left({-1}\right)={-6}\end{array}[/tex]

Step 4:

Multiply the entry in the left part of the table by the last entry in the result row.

Add the obtained result to the next coefficient of the dividend, and write down the sum.

[tex]\begin{array}{c|rrrr}{-1}&1&2&-5&{-6}\\&&-1&-1&\left({-1}\right) \cdot \left({-6}\right)={6}\\\hline&1&1&{-6}&\left({-6}\right)+{6}={0}\end{array}[/tex]

We have completed the table and have obtained the following resulting coefficients: 1, 1, −6, 0.

All the coefficients except the last one are the coefficients of the quotient, the last coefficient is the remainder.

Thus, the quotient is [tex]x^{2}+x-6[/tex], and the remainder is 0.

[tex]\frac{x^{3} + 2 x^{2} - 5 x - 6}{x + 1}=x^{2} + x - 6+\frac{0}{x + 1}=x^{2} + x - 6[/tex]

Now, we factor [tex]x^{2}+x-6[/tex]

[tex]\left(x^2-2x\right)+\left(3x-6\right)\\x\left(x-2\right)+3\left(x-2\right)\\\left(x-2\right)\left(x+3\right)[/tex]

Therefore,

[tex]x^3+2x^2-5x-6=\left(x+1\right)\left(x-2\right)\left(x+3\right)[/tex]

Answer:

The average rate of change is $25.5 per hour, option B.

Step-by-step explanation:

Average Rate of Change

When we are explicitly given some function C(x), we sometimes need to know the rate of change of C when x goes from [tex]x=x_1[/tex] to [tex]x=x_2[/tex]. It can be computed as the slope of a line .

[tex]\displaystyle m=\frac{C(x_2)-C(x_1)}{x_2-x_1}[/tex]

The provided function is

[tex]C(x)=25.50x + 50[/tex]

We are required to compute the average rate of change between the points

[tex]x_1=3\ ,\ x_2=9[/tex]

Let's compute

[tex]C(3)=25.50(3) + 50=126.5[/tex]

[tex]C(9)=25.50(9) + 50=279.5[/tex]

[tex]\displaystyle m=\frac{279.5-126.5}{9-3}[/tex]

[tex]\displaystyle m=\frac{153}{6}=25.5[/tex]

The average rate of change is $25.5 per hour, option B.

Answer:

C

Step-by-step explanation:

One angle is larger than other from the SAS Inequality Theroem that state that if two congruent sides are congruent, then one of the included angle is greater than the other

Answer

m< 1 > m < 2.

Step-by-step explanation:

< 1 is opposite the longer side.

Answer: [tex]\dfrac{15}{17}[/tex]

Step-by-step explanation:

Total number of cards in a deck = 52

Number of red cards = 26

Number of cards not red =

Number of ways to draw not red cards = [tex]^{26}C_3[/tex]

Total ways to draw 3 cards = [tex]^{52}C_3[/tex]

The probability that none of three cards are red = [tex]\dfrac{^{26}C_3}{^{52}C_3}[/tex]

[tex]=\dfrac{\dfrac{26!}{3!(26-3)!}}{\dfrac{52!}{3!(52-3)!}}[/tex]  [∵ [tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]]

[tex]=\dfrac{\dfrac{26\times25\times24\times23!}{(23)!}}{\dfrac{52\times51\times50\times49!}{3!(49)!}}=\dfrac{2}{17}[/tex]

Now , the probability that at least one of the cards drawn is a red card = 1- Probability that none cards are red

[tex]=1-\dfrac{2}{17}=\dfrac{17-2}{17}=\dfrac{15}{17}[/tex]

Hence, the required probability = [tex]\dfrac{15}{17}[/tex]

Answer:

The Statements which are true are:

(2)(6) > (–2)(2)

6/-2 < -2/-2

6/2 > -2/2

Step-by-step explanation:

Given:

6 > –2

We need to check all options which are true,

Hence we will check for all 1 by 1.

(2)(6) > (–2)(2)

It means that when 2 is multiplied on both side we get the value as

12 > -4

Since 12 is greater than -4.

Hence this statement is true.

6/2 < -2/2

It means that when 2 is divided on both side we get the value as

3 < -1

Since 3 is greater than -1.

Hence this statement is false.

(–2)(6) > (–2)(–2)

It means that when -2 is multiplied on both side we get the value as

-12 > 4

Since -12 is less than 4.

Hence this statement is false.

6/-2 < -2/-2

It means that when -2 is divided on both side we get the value as

-3 < 1

Since -3 is lesser than 1.

Hence this statement is true.

5) (2)(6) < (–2)(2)

It means that when 2 is multiplied on both side we get the value as

12 < -4

Since 12 is greater than -4.

Hence this statement is False.

6/2 > -2/2

It means that when 2 is divided on both side we get the value as

3 > -1

Since 3 is greater than -1.

Hence this statement is True.

Answer:

A,D,F

Step-by-step explanation:

I got these correct!

Answer:

Step-by-step explanation:

let x be the length of third side.

10-5<x<10+5

or 5<x<15

so third side is between 5 and 15 .

Answer:  The length of the third side is greater than 5 and less than 15 units.

Step-by-step explanation: Given that the lengths of two sides of a certain triangle are 5 and 10 units.

We are to find the length of the third side of the triangle.

Let x represents the length of the third side of the given triangle.

We know that the sum of the lengths of two sides of a triangle is always greater than the length of the third side, so we must have

[tex]5+10>x\\\\\Rightarrow x<15~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

[tex]5+x>10\\\\\Rightarrow x>5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

and

[tex]x+10>5\\\\\Rightarrow x>-5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

From inequalities (i), (ii) and (iii), we get

[tex]5<x<15.[/tex]

Thus, the length of the third side is greater than 5 and less than 15 units.

Final answer:

The total cost, including a 5% GST and a 15% tip on a bill of $123, would be $147.60, calculated by adding the GST and the tip amount to the original bill.

Explanation:

To calculate the total cost of the meal including tax and tip, we add both the Goods and Services Tax (GST) and the tip percentage to the original bill amount.

The total cost, including a 5% GST and a 15% tip on a bill of $123, would be $147.60.

Answer:

340 ft²

Step-by-step explanation:

perimeter of rectangle = 2 x (L+W) = 2L + 2W = 74 .....(1)

cost of two length : $1 x 2L

cost of two width: $3.50 x 2W

($1 x 2L) + ($3.50 x 2W) = $159

2L + 7W = 159 ....... (2)

(2) - (1) ...  5W = 85

W = 17

L = (74 - 2 x 17) / 2 = 20

dimension = 17 x 20 = 340 ft²

The dimensions of the rectangular lot are 162.67 feet by 325.34 feet. The perimeter equation is 2L + 2W = 74. The cost equation is L + 3.50W = 159.

Let's say the length of the rectangular lot is L feet and the width is W feet.

The perimeter of a rectangle can be defined as: 2L + 2W.

According to the question, the perimeter is 74 feet, so we can write the equation as: 2L + 2W = 74.

The cost of fencing along the two lengths is $1 per foot, so the cost for the length fencing is 1 * L dollars.

The cost of fencing along the two widths is $3.50 per foot, so the cost for the width fencing is 3.50 * W dollars.

The total cost of fencing is $159, so we can write the equation as: 1 * L + 3.50 * W = 159.

Now we have two equations:

2L + 2W = 74

L + 3.50W = 159

To solve these equations, we can use substitution or elimination method.

Let's use the elimination method:

This simplifies to: 1.50W = 244.

Divide both sides by 1.50: W = 244 / 1.50 = 162.67 feet.

Plug this value back into the first equation to find L: 2L + 2(162.67) = 74.

Simplify: 2L + 325.34 = 74.

Subtract 325.34 from both sides: 2L = -251.34.

Divide both sides by 2: L = -251.34 / 2 = -125.67 feet.

Since the dimensions of the lot cannot be negative, we discard the negative value.

Therefore, the dimensions of the lot are 162.67 feet by 325.34 feet.

Final answer:

About 95% of households would typically be expected to have a number of cars within 2 standard deviations of the mean, as per the empirical rule for a normal distribution.

Explanation:

The question, in a broad sense, relates to the concept of a probability distribution, specifically to the normal distribution and the empirical or 68-95-99.7 rule. To answer the question about the percentage of households with a number of cars within 2 standard deviations of the mean, one needs to apply the properties of the normal distribution. Typically, about 95% of observations can be found within 2 standard deviations of the mean on a normal distribution. However, to be precise for this case, one would calculate the mean (μ) and standard deviation (σ) of the given probability distribution, then sum the probabilities of the random variable X falling between μ - 2σ and μ + 2σ to find the desired percentage of households.

About 93% of households have a number of cars within 2 standard deviations of the mean.

To determine the percentage of households that have a number of cars within 2 standard deviations of the mean, we need to perform the following steps:

       [tex]\mu = \sum xP(X=x)[/tex]

       [tex]\mu = 0(0.09) + 1(0.36) + 2(0.35) + 3(0.13) + 4(0.05) + 5(0.02) = 1.75[/tex]

       [tex]\sigma^2 = \sum (x - \mu)^2 P(X=x)\\\sigma^2 = (0 - 1.82)^2(0.09) + (1 - 1.82)^2(0.36) + (2 - 1.82)^2(0.35) + (3 - 1.82)^2(0.13) + (4 - 1.82)^2(0.05) + (5 - 1.82)^2(0.02) = 1.1675[/tex]

       [tex]\[\sigma = \sqrt{1.0764} \approx 1.0805[/tex]

      The range is from μ - 2σ to μ + 2σ.

       μ - 2σ =  1.75 - 2(1.0805) ≈ -0.411

       μ + 2σ = 1.75 + 2(1.0805) ≈ 3.911

      Since the number of cars cannot be negative, the range is from 0 to 3.911 (practically up to 3 cars).

      0.09 + 0.36 + 0.35 + 0.13 = 0.93

Thus, about 93\% of households have a number of cars within 2 standard deviations of the mean.

Complete question:

Choose an American household at random and let the random variable X be the number of cars (including SUVs and light trucks) they own. Given is the probability distribution if we ignore the few households that own more than 5 cars.

Number of cars:   0\\       1 \\      2\\      3 \\     4\\       5

Probability:        0.09 \\ 0.36\\ 0.35\\ 0.13\\ 0.05\\ 0.02

About what percentage of households have a number of cars within 2 standard deviations of the mean?

Answer:

(-5,7) is the center

Step-by-step explanation:

Answer:

Option (4) is the answer.

Step-by-step explanation:

The given question is without options ; here is the complete question.

Myriah wants to use dimensional analysis to find out how many centimeters (cm) are in 1.4 meters (m). Which of these equalities will be useful for this calculation?

2.54 cm = 1 in.

1 m = 39.37 in.

1 cm = 10 mm

100 cm = 1 m

During the dimensional analysis Myriah wants to convert the dimension from meter to centimeter.

Option (1), In this option given equality is to convert centimeter to inch. which is not required.

Option (2), In this option equality is to convert meter to inch which is not required.

Option (3) the equality given will convert cm to mm, which is not required.

Option (4) equality given in this option will convert meter to centimeter which is the required equality.

Therefore, Option (4) will be the answer.

Answer:

a)20$

b)46,1$

c)0,3336

d)No concerns

Step-by-step explanation:

A) To find expected difference of cost of medical care for dogs and cats we can simply subtract average costs of cats and dogs.

[tex]120-100=20[/tex]

Expected difference will be 20$.

B) To find the standard deviation of that difference, we need to square deviations and add them and square root it again.

[tex]\sqrt{(30^2+35^2)} =46,1[/tex]

Expected difference will be 46,1$.

C)We need to find the Z value to find the probability of more expensive dogs than cats in a Vet vise.[tex]Z=(0-20)/46,1=-0,434[/tex]

Z value of the function is -0,434

From the Z table that you can find at the attachment. The probability is %33,36 or 0,3336

D) This is a subjective part. I don't have any concerns

He used 86 pounds of type A coffee.

Step-by-step explanation:

Cost of type A coffee = $5.40 per pound

Cost of type B coffee = $4.05 per pound

Total blend made = 138 pounds

Total cost = $675.00

Let,

x represents the pounds of type A coffee

y represents the pounds of type B coffee

According to given statement;

x+y=138    Eqn 1

5.40x+4.05y=675    Eqn 2

Multiplying Eqn 1 by 4.05

[tex]4.05(x+y=138)\\4.05x+4.05y=558.90\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](5.40x+4.05y)-(4.05x+4.05y)=675-558.90\\5.40x+4.05y-4.05x-4.05y=116.1\\1.35x=116.1\\[/tex]

Dividing both sides by 1.35

[tex]\frac{1.35x}{1.35}=\frac{116.1}{1.35}\\x=86[/tex]

He used 86 pounds of type A coffee.

Keywords: linear equation, elimination method

Learn more about elimination method at:

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Answer:

The supply and demand curves will shift to the left i.e. there will be a decrease in demand and supply.

Step-by-step explanation:

First: Tax is a compulsory contribution to state revenue, levied by the government on workers' income and business profits, or added to the cost of some goods, services, and transactions.

Secondly: Money supply is the total amount of monetary assets available in an economy at a specific time.

When tax is increased, this means individuals and businesses have to contribute more to the state revenue leaving both categories with lesser income or profit i.e. lesser to spend.

In the same way, when money supply decreases, there is lesser money available to both individuals and businesses

What this implies is that demand will decrease because income has decreased. Supply will also decrease because producers will not make as much profit given the increase in tax (tax is considered cost of production).

As a result of this, the demand curve shifts to the left, the supply curve also shift to the left because both demand and supply will decrease.

Answer:

D. [tex]y<\frac{2}{3}x-4\ and\ y\geq-2x+2[/tex]

Step-by-step explanation:

Given:

Let us find the equations of the lines from the graph.

First let us determine the equation of the broken line.

The slope of the broken line is positive as 'y' values increases with increase in 'x'. The slope is the ratio of the absolute value of y-intercept to that of the x-intercept.

x-intercept = 6, |y-intercept| = |-4| = 4

So, [tex]m=\frac{4}{6}=\frac{2}{3}[/tex]

Now, equation of a line with slope 'm' and y -intercept 'b' is given as:

[tex]y=mx+b[/tex]

Here, [tex]m=\frac{2}{3},b=-4[/tex].So, equation of the broken line is:

[tex]y=\frac{2}{3}x-4[/tex]

Now, from the graph, the solution is below the broken line. So, the equality sign is replaced by the less than inequality sign. So,

[tex]y<\frac{2}{3}x-4[/tex]

Now, let us determine the equation of the other line.

y-intercept, [tex]b = 2[/tex], x-intercept = 1

Slope is negative as 'y' decreases with increase in 'x'. So,

Slope, [tex]m=-\frac{2}{1}=-2[/tex]

Now, equation is given as:

[tex]y=-2x+2[/tex]

From the graph, the solution region is to the left of the line. So, the 'equal to' sign is replaced by the 'greater than or equal to' sign' as the line is also included in the solution region. So, the inequality becomes:

[tex]y\geq-2x+2[/tex]

Therefore, the last option is correct.

[tex]y<\frac{2}{3}x-4\ and\ y\geq-2x+2[/tex]

Answer: A pair of boots costs $120.25. A pair of tennis shoes costs $75.87✔️

Step-by-step explanation:

Let B the cost of a pair of boots and let T the cost of a pair of tennis shoes.

Then we know:

A pair of boots and a pair of tennis shoes cost $196.12:

B + T = $196.12 } Equation 1

We also know:

The difference in their cost is $44.38:

B - T = $44.38 } Equation 2

From the equation 1 we know T:

T = $196.12 - B

Now we can substitute this value in equation 2:

B - ($196.12 - B) = $44.38

B - $196.12 + B = $44.38

2B = $44.38 + $196.12 = $240.5

B = $240.5/2 = $120.25◄cost of a pair of boots

Since we know the value of T from the equation 1:

T = $196.12 - B = $196.12 - $120.25 = $75.87◄cost of a pair of tennis shoes

Answer: A pair of boots costs $120.25. A pair of tennis shoes costs $75.87✔️

We can substitute these values in equations 1 and 2 and check the results:

B + T = $196.12 } Equation 1

$120.25 + $75.87 = 196.12 ✔️check!

B - T = $44.38 } Equation 2

$120.25 - $75.87 = $44.38 ✔️check!

Spymore

The cost of a pair of boots is $120.25 and the cost of a pair of tennis shoes is $75.87.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, a pair of boots and a pair of tennis shoes cost $196.12.

Let the cost of a pair of boots be b and the cost of a pair of tennis shoes be t.

Now, b+t=196.12 --------(I)

The difference in their cost is $44.38.

b-t=44.38 --------(II)

Add equation (I) and (II), we get

b+t+b-t=196.12+44.38

2b=240.5

b=240.5/2

b=$120.25

Substitute b=$120.25 in equation (I), we get

b+t=196.12

t=196.12-120.25

t=$75.87

Therefore, the cost of a pair of boots is $120.25 and the cost of a pair of tennis shoes is $75.87.

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answer: 0.69

answer explanation:

to start take 1.38 and 1.11 and subtract to find a price of a plum which is 0.27 since 1.38 have a extra plum then take 1.11 and take away 0.27 from 1.11 and get 0.84 then divide by 2 and get 0.42 so a apple cost 0.42 and a plum cost 0.27 together cost 0.69 which is nice

To find the cost of 1 apple and 1 plum, set up and solve a system of equations based on the given costs of different fruit combinations.

To solve this problem, we need to set up a system of equations: