Saul recorded the number of different types of pets his friends have in the table shown below: Cats 3 Dogs 2 Rabbits 1 Guinea Pigs 2 Which of the following plots represents the data in the table? A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 3 crosses, Dog has 2 crosses, Rabbit has 3 crosses, and Guinea Pig has 2 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners. A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 1 cross, Dog has 2 crosses, Rabbit has 1 cross, and Guinea Pig has 2 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners. A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 2 crosses, Dog has 1 cross, Rabbit has 0 crosses, and Guinea Pig has 1 cross. The line is labeled Number of Pets, and title of graph is Pet Owners. A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 3 crosses, Dog has 2 crosses, Rabbit has 1 cross, and Guinea Pig has 2 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.

First, let's simplify the expression: 7 - 5 + 3x - 1  ⇒   3x + 1  (slope=3, y-intercept = 1)

Next, let's understand what they are asking for:

no solutions means same slope but different y-intercepts

Answer: 3x + _______ (the blank can be anything except 1)

one solution means different slopes

Answer: ________x + _______ (the first blank can be anything except 3, the second blank can be anything)

infinitely many solutions means same slope and same y-intercept

Answer: 3x + 1

Answer:

1.3x+9

2.1x+4

3.3x+1

Step-by-step explanation:

[tex]\frac{84}{21}=4[/tex]

Therefore you need 4 batches of cupcakes if you want every person to get one cupcake.

Number of beverages sold by cafe= 1,400

Number of beverages which were coffee= 60 % of number of beverages sold.

So, number of coffees that the café sell in the month= 60 % of 1400

    [tex]=\frac{60}{100}\times 1,400\\\\= 60 \times 14\\\\=840[/tex]

Keep in mind, x % of y is , [tex]\frac{x y}{100}[/tex]

Number of Coffees that cafe sell in month= 840

Given function: h(t) = -16t^2 + 96t + 5, where t represents the time in minutes.

We need to find the interval for which the arrow is going up.

The arrow is going up would be the values of time t =0 when it start and when it went to highest point.

Given function is a quadratic function and it represents a parabolic shape.

The highest point on the parabola is a vertex point.

Therefore, we need to find the x-coordinate of the vertex.

We know, formula for x-coordinate of the vertex is

[tex]\frac{-b}{2a}[/tex]

For the given quadratic a= -16 and b=96.

Plugging values of a and b in formula, we get

[tex]\frac{-96}{2(-16)}=\frac{-96}{-32} = 3.[/tex]

Therefore, after 3 seconds arrow would be at maximum height.

Therefore, the interval for which the arrow is going up is [0,3].

They sell 18 costumes per day, times 5 days.

So,

18 costumes per day * 5 days

18*5 =90

Final answer:

To find the total number of costumes sold, multiply the daily sales of 18 costumes by the 5 days before Halloween, which equals 90 costumes.

Explanation:

If a store sells 18 costumes per day during the 5 days before Halloween, we can calculate the total number of costumes sold by multiplying the daily sales by the number of days.

Here is the calculation:

Therefore, the store sells a total of 90 costumes in the 5 days before Halloween.

This calculation method provides a straightforward way to determine the overall sales volume for the specified period, making it accessible for analysis and planning. The systematic breakdown into steps, including the identification of daily sales and multiplication by the number of days, enhances transparency in understanding the final result. Such clear and concise procedures contribute to effective business forecasting and logistical decision-making during peak periods like Halloween.

If you spend money, you have less money than before. Subtraction is the operation that describes this "taking quantities away".

So, you start with 74$. You spend 24$, so we have to subtract 24:

[tex] 74-24 = 50 [/tex]

Then, you spend 21$. So, we have to subtract again:

[tex] 50-21 = 29 [/tex]

So, you're left with 29$ after you buy the video game and the groceries.

Answer:

A. 2/5

Step-by-step explanation:

3/5*2/4+2/5*1/4

6/20+2/20

8/20 = 2/5

Answer:

Option A

Step-by-step explanation:

Given that Sal has a small bag of candy containing three green candies and two red candies.

He ate two candies one after the other.

The probability that both candies were the same color has to be calculated.

The probability that both candies were the same color = P(both are red or both are green)

= P(both are red)+P(both are green)

Total no of ways to draw 2 candies out of 5 = 5C2 = 5(4)/2 = 10

No of ways of drawing 2 red candies = 2C2 =1

No of ways of drawing 2 green candies = 3C2 =3

Hence required prob =(1+3)/10 = 2/5

The best answer for the question is B. $19.99

Answer is 19.99 dollars

Explanation:

Let us draw the reconciliatin done by Yolanda linewise

Banking reconciliation Worksheet Amount of Mega

1) Closing balance                                                       $ 345 89

2) the sum of any outstanding deposits or credits.         0.00

3)   Sum of 1 and 2                                                          345.89

4. sum of any outstanding checks or debits.                $ 37 51 5.

5) (3)-(4)                                                                           $ 308 38

6) checkbook balance.                                                   $ 328 37  

7) Difference (6)-(5)                                                         $   19.99

SInce difference is exactly 19.99 dollars Yolanda should look for the amount 19.99 dollars to find a solution to the problem i.e. to see the reason for the difference between lines 5 and 6                

The answer to this question is the product is 12i

Answer:  The required product is [tex]-11+62i.[/tex]

Step-by-step explanation:  We are given to find the product of the following two complex numbers :

[tex]z_1=6+5i,~~~z_2=4+7i.[/tex]

We will be using the following property :

[tex](a+b)(c+d)=a(c+d)+b(c+d).[/tex]

Also, we will use the fact that [tex]i=\sqrt{-1},~~i^2=-1.[/tex]

The product of the given complex numbers is

[tex]z_1z_2\\\\=(6+5i)(4+7i)\\\\=6(4+7i)+5i(4+7i)\\\\=24+42i+20i+35i^2\\\\=24+62i-35\\\\=-11+62i.[/tex]

Thus, the required product is [tex]-11+62i.[/tex]

The value of expression is,

x = - 5

Here;

The written expression is;

''Four times the difference of a number and 5 is the same as 5 increased by four times the number plus five times the number.''

We have to solve this expression.

What is Mathematical expression?
The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.

Now,

Let a number is 'x'.

Then, The mathematical expression is written as;

4* ( x - 5 ) = 5 + (4*x) + (5*x)

We can solve as;

4* ( x - 5 ) = 5 + (4*x) + (5*x)

4x - 20 = 5 + 4x + 5x

- 20 - 5 = 4x + 5x - 4x

- 25 = 5x

x = -5

Hence, The value of expression is,

x = - 5

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answer is equal to 2X44/5mile=17.6mile

Each section of a race is 25 mile.

The race has 4 sections.

Which expression tells how many miles long the entire race is?

Answer:

4×2/5

160 = 2 x 2 x 2 x 2 x 2 x 5 = 2^5 x 5

243 = 3 x 3 x 3 x 3 x 3 = 3^5

So

(160 * 243)^1/5

= 5th root of (160 * 243)

= 5th root of (2^5 * 5 * 3^5)

= 2 * 3 * (5th root of 5)

= 6 * (5th root of  5)

Answer is D. 6 * (5th root of  5)

The resultant expression, equivalent to [tex](160*243)^{1/5}[/tex] is Option (D) [tex]6\sqrt[5]{5}[/tex]

An exponent refers to the number of times a number is multiplied by itself. It is represented as a number or letter written above and to the right of a mathematical expression called the base. It indicates that the base is to be raised to a certain power. x is the base and n is the exponent or power.

Represented as [tex]x^{n}[/tex]

Given expression is [tex](160*243)^{1/5}[/tex].

Now we are separating the expression,

160 = 2*2*2*2*2*5 = [tex]2^{5}*5[/tex]

243 = 3*3*3*3*3 = [tex]3^{5}[/tex]

∴ [tex](160*243)^{1/5}[/tex] =  [tex](2^{5}*5*3^{5})^{1/5}[/tex] = [tex]2*3*5^{1/5}[/tex] = [tex]6\sqrt[5]{5}[/tex]

Thus the equivalent expression is Option (C) [tex]6\sqrt[5]{5}[/tex]

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The like terms in the expression are 10a and 3a, as well as 4b and -15b.

We have,

The like terms of the expression 10a + 4b + 3a - 15b are the terms that have the same variable(s) raised to the same power(s).

In this case, the like terms are:

10a and 3a (both have the variable 'a')

4b and -15b (both have the variable 'b')

Thus,

The like terms in the expression are 10a and 3a, as well as 4b and -15b.

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M(n) denotes Aiden's fee (in dollars) for his n^th drive on a certain day.

Then:

M(8)<M(4) means that 8th drive was less expensive than 4th drive.

Answer:

A. DF

Step-by-step explanation:

The length of OB is the same as OE, and the angle that AC makes with OB is the same as the angle DF makes with OE.  This means the length of both chords, AC and DF, must be the same.

We can conclude that [tex]\boxed{\overline {{\text{OD}}} {\text{ is congruent to }}\overline {{\text{OB}}} }[/tex]. Option (A) is correct.

Further Explanation:

Given:

The options are as follows,

A. [tex]\overline {{\text{AC}}} {\text{ is congruent to }}\overline {{\text{DF}}}.[/tex]

B. [tex]\overline {{\text{AC}}} {\text{ is congruent to }}\overline {{\text{OB}}}.[/tex]

C. [tex]\overline {{\text{AC}}} {\text{ is congruent to }}\overline {{\text{AB}}}.[/tex]

D. [tex]\overline {{\text{AC}}} {\text{ is congruent to }}\overline {{\text{O}}}.[/tex]

Explanation:

The length of OE is [tex]{\text{OE}} = 7.12{\text{ units}}.[/tex]

The length of OB is [tex]{\text{OB}} = 7.12{\text{ units}}.[/tex]

The length of OB and OE is [tex]7.12{\text{ units}}.[/tex]

AC and FD are the chords of the circle.

OE and OB are the perpendicular bisector of the chords AC and FD respectively.

The length of the perpendicular bisectors of chords is [tex]7.12{\text{ units}.[/tex]

The given chords of the circle are equidistant from the center of the circle.

We can conclude that [tex]\boxed{\overline {{\text{OD}}} {\text{ is congruent to }}\overline {{\text{OB}}} }[/tex]. Option (A) is correct.

Learn more:

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Circles

Keywords: congruent, fill, blank, conclude, DF, OB, AB, AC, chord, tangent, displacement, two chords, radius, center, circle, equidistant,  

0 pounds

divide 13.5 by 0.75

[tex]\frac{13.5}{0.75}[/tex] = 18 with no remainder

Answer: Hi!

Andre earns $165 for each digital projector that she sells.

We know that she works 11 hours per day, 5 days per week and that she sells 12 digital projectors a week. We want to know the average hourly wage.

First, we need to know how much she wins in the week. This is the number of digital projectors sold multiplied by the profit for each one:

12*$165 = $1980

And now we need to see how the amount of hours that she works each week, this is 11 hours per day and 5 days per week, then she works 11*5 = 55 hours per week.

Now we can divide the earns per week by the number of hours that she works each week, and obtain the average hourly wage:

$1980/55 = $36

So Andre wins an average of $36 per hour.

To express the ratio of flour to butter from a recipe as a fraction in simplest form, start by setting it up as a fraction and then multiply by the reciprocal of the denominator. In this case, a recipe with 6 cups of flour and three-fourths cup of butter simplifies to a ratio of 8:1.

To find the ratio of the amount of flour to the amount of butter as a fraction in simplest form, we start by writing the amounts given in the recipe as a fraction. There are 6 cups of flour and three-fourths (3/4) cup of butter. The initial ratio is therefore:

6 cups of flour / (3/4) cup of butter

To simplify, we can multiply both the numerator (the top part of the fraction) and the denominator (the bottom part of the fraction) by the reciprocal of the denominator:

6 / (3/4) = 6 × (4/3) = 24/3 = 8

So, the simplest form of the ratio of flour to butter is 8:1.

Area = 117 m²      width = 9 m

Area (A) = length (L) x width (w)

  117      =      L          *      9

117 = 9L

[tex]\frac{117}{9} = \frac{9L}{9}[/tex]

13 = L

Answer: length = 9 m

Answer:

117/9=13

13*9=117

So, the length is 13 since L*W=area.

:)

x = 2 ± [tex]\frac{1}{2}[/tex]√10

express the equation in standard form : ax² + bx + c = 0 ( a ≠ 0 )

then x = ( - b ±√( b² - 4ac) ) / 2a

given 2x² = 8x - 3, then

2x² - 8x + 3 = 0 ( in standard form )

with a = 2, b = - 8, c = 3

x = (8 ±√(64 - 24) )/4 = (8 ±√40) / 4 = (8 ± 2√10) / 4

x = 2 ± [tex]\frac{1}{2}[/tex]√10

A member and a nonmember must each take 10 music lessons in order for the cost to be the same for both.

To find the number of music lessons that must be taken by a member and a nonmember so that the cost for each is the same, we can set up an equation. Let x represent the number of music lessons. For a member, the cost is $100 + $20x, and for a nonmember, the cost is $30x. We can set up the equation:

100 + 20x = 30x

To solve for x, we can subtract 20x from both sides:

100 = 10x

Then, we can divide both sides by 10:

x = 10

Therefore, a member and a nonmember must each take 10 music lessons in order for the cost to be the same for both.

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Answer:-1)The three sets of approximation of time will be

Time taken to fall tennis ball from height of 60 m =35.41014 s ≈35.410 s (to the nearest thousandth)

≈35.41s  (to the nearest hundredth)

≈35.5 seconds(to the nearest tenth)

2)Time by the ball to hit the ground =35.5 seconds

Step-by-step explanation:

Time taken to fall tennis ball from height of 60 feet =  0.25 √60 s

So,time taken to fall tennis ball from height of 1 foot =0.25√60 divided by 60=[tex]\frac{0.25\sqrt{60} }{60}s[/tex]

We know that 1 m = 0.3048 foot

⇒60 m =60×0.3048=18.288 feet

therefore, Time taken to fall tennis ball from height of 60 m = 18.288 ×time taken to fall tennis ball from height of 1 foot=[tex]\frac{0.25\sqrt{60} }{60}\cdot18.288=35.41014\ s[/tex]

∴Time taken to fall tennis ball from height of 60 m =35.41014 s ≈35.410 s (to the nearest thousandth)

≈35.41s  (to the nearest hundredth)

≈35.5 seconds(to the nearest tenth)

The time it will take for a tennis ball dropped from a height of 60 meters to reach the ground can be calculated using the equation t = 0.25 √h. Three sets of approximations were determined for heights of 30m, 45m and 60m, with the final time for the 60m drop being approximately 1.94 seconds.

The time it takes for the tennis ball to hit the ground can be calculated using the equation t = 0.25 √h, with 't' being time and 'h' being height. Inserting the given height of 60 meters into this equation will reveal how long it takes for the tennis ball to hit the ground.

From these calculations, it can be determined that the time it will take for the tennis ball dropped from a height of 60 meters to hit the ground is "approximately 1.94 seconds".

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Odd numbers are those numbers that gives a fraction when divided by 2

Prime numbers are those that can be divided only by 1 and the number itself.

Odd numbers are therefore : 23, 25, 31 and 45

Prime numbers are therefore: 2, 23 and 31

Answer:

There are 20345.556... feet in 6.2 km.

Step-by-step explanation:

Given that, 1 mile = 1.609 km and  1 mile = 5280 ft.

That means we can say,  1.609 km = 5280 ft.

So, 1 km = [tex](\frac{5280}{1.609})ft = 3281.541... ft[/tex]

Now, for converting 6.2 km into feet, we will just multiply 6.2 by 3281.541... ft.

Thus, 6.2 km = [tex](6.2 \times 3281.541...)ft = 20345.556... ft[/tex]

So, there are 20345.556... feet in 6.2 km.

part/whole=0.65

78/whole=0.65

whole =78/0.65 =120 £

Answer:

The price before discount would be $120

Step-by-step explanation:

The actual price of the phone is 100%-35% = 65% of the original price of the phone.

So by rule of three

If 65% of the price is $78, the total price of the phone would be:

[tex]Total price = \frac{74}{0,65} \\\\Total price = 120[/tex]

The definition of a rational number is that it can be written in form [tex]\frac{p}{q}[/tex]. If it cannot be written in that form then it is not a rational number (which makes it an irrational number)

Answer: irrational number