The table shows the scores of two teams at the end of the first half of a trivia challenge.



Team Points Scored
Bobcats 2x−7
Huskies 5x−3


How many more points did the Huskies score than the Bobcats?

Answers

Answer 1

The point difference between Huskies and Bobcats are 3 x + 4.

What is algebra ?The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions. In algebra, we utilize integers with fixed or definite values, such as 2, 7, 0.068, etc. In algebra, we combine integers with variables like x, y, and z.One-step equations can be solved in four different ways: by adding, subtracting, multiplying, and dividing. In an equation, both sides will stay equal if we add the same amount to either side.The sequence in which you perform operations in arithmetic and algebra is governed by a number of rules. The Commutative, Associative, and Distributive Laws are the three that receive the most attention.

Given data :

Difference = Huskies - Bobcats

Hence,

( 5x - 3 ) - ( 2x - 7 )

= 5x - 3 - 2x + 7

= 3x + 4

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Related Questions

if traingle PAG is comgruent to riangle DEN, use words numbers and or symbols to state two conclsuions that can be made based upon cpctc

Answers

If triangle PAG is congruent to triangle DEN, it means that the two triangles are identical in size and shape. This means that the following conclusions can be made based upon the given information:

The corresponding sides of triangle PAG and triangle DEN are equal in length. This can be expressed using the symbol "=": PA = DE, AG = EN, and GA = ND.
The corresponding angles of triangle PAG and triangle DEN are equal in measure. This can be expressed using the symbol "≅": ∠PAG ≅ ∠DEN, ∠AGP ≅ ∠NDE, and ∠GPA ≅ ∠END.

12. A typical large recycling tote can hold 10 kilograms of plastic yogurt containers. What volume is
needed to hold this amount of plastic?

Answers

A typical large recycling tote can hold 10 kilograms of plastic yogurt containers. the  volume is 0.01 m^3

What volume is needed to hold this amount of plastic?

Generally, To determine the volume needed to hold 10 kilograms of plastic yogurt containers, you would need to know the density of the plastic and the size and shape of the containers.

The density of a material is a measure of its mass per unit volume. It is usually expressed in kilograms per cubic meter (kg/m^3). The density of plastic can vary depending on the specific type of plastic and any additives that are present.

Once you know the density of the plastic, you can use the following formula to calculate the volume needed to hold a certain mass of the material:

Volume = Mass / Density

For example, if the density of the plastic is 1000 kg/m^3 and you want to hold 10 kilograms of it, the volume needed would be:

Volume = 10 kg / 1000 kg/m^3

Volume  = 0.01 m^3

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THE COMPLETE QUESTION WAS NOT FOUND

what is the value of 18 to the third power

Answers

Answer:

5832

Step-by-step explanation:

What is 213 divided? Also how do you break 23 into tens and ones?

Answers

Answer:

What is 213 divided? 2 I think

Also how do you break 23 into tens and ones? It would be 2 tens and then it would be 3 ones

Alonso went to the market with \$55$55dollar sign, 55 to buy eggs and sugar. He knows he needs a package of 121212 eggs that costs \$2.75$2.75dollar sign, 2, point, 75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money. The sugar he likes comes in boxes that each cost \$11.50$11.50dollar sign, 11, point, 50

Answers

The number of boxes of sugar that Alonso can buy are 4.5 boxes.

What is a mathematical function, equation and expression?                function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that Alonso went to the market with $55 to buy eggs and sugar. He knows he needs a package of 12 eggs that costs $2.75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money.

The money remaining after buying 12 eggs : {r} = $(55 -2.75).

Cost of one box of sugar = $11.5

The number of boxes that he can buy are -

n = (55 - 2.75)/11.5

n = 4.5 boxes {approx.}

Therefore, the number of boxes of sugar that Alonso can buy are 4.5 boxes.

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A beetle is moving along a straight line at a constant rate. It moves 23 of a foot in 15 of a minute.

What is the average speed of the beetle?

Answers

The average speed of the beetle is 1.53 feet per minute.

What is the average speed?

Average speed is calculated by dividing a quantity by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula S = d/t, where S is the average speed, d is the total distance, and t is the total time, is used to determine average speed.

Given that, it moves 23 of a foot in 15 of a minute.

Here, the average speed

= 23/15

= 1.53 feet per minute

Therefore, the average speed of the beetle is 1.53 feet per minute.

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17. Select the correct inequality and graph for the statement.
The highest temperature possible today is 95 °F.

Answers

The correct inequality for the statement - highest temperature possible today is 95 °F

x ≤ 95 °F

How to identify the correct statement

The statement saying the highest temperature possible today is 95 °F is represented by

knowing that the temperature will never be greater than 95 °F, hence the temperature values is from 95 °F and downwards

assuming x represents the measles of the temperatures then

x is less than or equal to 95 °F means x can be any value but never greater than 95 °F

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Describe the 3-D figure that would be formed if the figure is rotated about the y-axis. (You can say what it looks like.)

Answers

By completing a complete revolution on the soda can-like profile about the y-axis to generates a cylinder-like solid that is the result of the combination of three cones and a cylinder.

What kind of solid is generated by rotating a profile about the y-axis?

In this problem we find a representation of a soda can-like profile, whose complete revolution generates a cylinder-like solid. This solid is the result of the combination of three truncated cones (lower trucated cone, middle cone, upper cone) and a cylinder (right cylinder). There are two axes for the rotation, a horizontal axis (x-axis) and a vertical axis (y-axis).

The first axis, that is, the horizontal axis, is along the base of the can-like profile and the second axis, that is, the vertical axis, is along a side of the can-like profile. The solid of revolution is generated by rotating around the y-axis.

In consequence, the solid generated by a revolution creates a soda can-like profiles as the result of combining three truncated cones and a cylinder.

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the statement [tex]2(\frac{1}{2} x-5)[/tex], then x=20 is justified by what property?

Answers

The statement 2(1 / 2 x - 5), when x = 20 is justified by the property of substitution.

How to find the property that justify the statement?

Substitution property in mathematics is a property that helps in substituting the value of a variable into an algebraic expression to solve a given problem.

Therefore, by substituting the value of x in the algebraic expression, the expression will be solved.

Hence,

2(1 / 2 x - 5) , when x = 20

Therefore,

2(1 / 2 (20) - 5)

2(10 - 5)

2(5) = 10

Hence, the property is substitution property.  

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what is the slope if the line that passes through the points (10,8) and (7,14)? write your answer in simplest form

Answers

Answer:

-2

Step-by-step explanation:

we use the y2-y1/x2-x1 fomrula to find slope

14-8/7-10

6/-3

-2 is the slope

hopes this helps

What is the m∠ c? Enter your answer as a number.

Answers

The measure of angle c is m ∠c = 103°.

What is triangle?

Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one. The designation "triangle ABC" refers to a triangle with the vertices A, B, and C. When three points are non-collinear in Euclidean geometry, they each produce a distinct triangle and plane.

180 degrees is the sum of the triangle's three angles.

Let Δabc is given with m ∠a = 30° and m ∠b = 37°

We have to find the measure of angle c.

Since the sum of three angles of triangle is 180 degree.

⇒ m ∠a + m b + m ∠c = 180°

30° + 37° + m ∠c = 180°

77° + m ∠c = 180°

m ∠c = 180°- 77°

m ∠c = 103°

Hence, the measure of angle c is m ∠c = 103°.

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Number 49. Please help Graphing inequalities? Why is the answer A? Please do a step by step explanation for each answer choice.

Answers

I don't see the picture. Can you send it in the message.

Isabella will earn $30 per hour at her new job. During training, she will earn $20
per hour. What percent of Isabella's regular hourly rate will she earn during
training?

Answers

By solving a little system of equations we will see that the percentage is 66.67%

What percent of the regular hourly rate will she earn during training?

We know that the regular hourly rate is $30 per hour, and that is the 100% in our case.

So we can write the relation:

$30 = 100%.

We know that when she is on training, she will earn $20, and this is a percentage X that we don't know yet, now we can write the relation:

$20 = X

So we have two equations:

$20 = X

$30 = 100%.

If we take the quotient between these two we will get:

$20/$30 = X/100%

If we multiply both sides by 100% (so we solve the equation for X) we will get:

($20/$30)*100% = X

66.67% = X

So she will get a 66.67% of the regular hourly rate.

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the confidence interval approach is the correct method by which to determine sample size. true false

Answers

The confidence interval approach is the correct method by which to determine sample size. True

Confidence Interval:

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.

In statistics, confidence is another word for probability. If you create a confidence interval, for instance, with a 95% level of confidence, you can be sure that 95 out of 100 times, the estimate will fall between the upper and lower values indicated by the confidence interval.

Your desired confidence level is usually one minus the alpha (α) value you used in your statistical test:

                    Confidence level = 1 − α

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What values of b and c make AGHI AZYX?
G
b
||
CE
48
I
b
H
X
17
Y
8c
Z

Answers

The value of b = 17 and c = 6 makes ΔGHI ≅ ΔZYX.

What is congruence?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

If and only if two angles have equal measurements, they are said to be congruent. If and only if two segments have equal amounts of each, they are congruent. If and only if all of the corresponding angles and sides are congruent, two triangles are said to be congruent.

Here, we have

Given the sides of both the triangle and

we have to find the value of b and c that makes ΔGHI ≅ ΔZYX

b = 17 and,

48 = 8c

c = 6

Hence, the value of b = 17 and c = 6 that makes ΔGHI ≅ ΔZYX.

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f(x) = x^2 + 1. g(x) =. 5 - x

(F+ g)(x)

Answers

We will aggregate terms with the same degree.

[tex](f+g)(x)=(x^2+1)+(5-x)=x^2-x+6[/tex]

Therefore, the answer to the question should be Option 3 or Option C)  from the beginning.

1.2x-5=6.8x-15
[tex]1.2x-5=6.8x-15\\[/tex]

Answers

1.2x-5=6.8x-15 is 1.7

the interior angles of a regular polygon each measures 165 degrees. how many sides does the polygon have

Answers

Here is an easy way to solve the problem:

1) The interior and the exterior angles
make a linear pair: add up to make 180°.

180° - 165° = 15° measure of one ext. angle

2) the sum of the exterior angles of any convex polygon is 360°

360° ÷ 15° = 24 exterior angles

3) the number of exterior angles = the number of interior angles = the number of sides in any convex polygon

4) Therefor there are 24 sides in this regular polygon

A manager of a self-service car wash charges a flat fee in addition to a fee per minute, x, for use of the services. The expression 5+0.75x models the scenario.

Which statement is true?

Responses

The coefficient 5 represents a cost of $5 per minute for use of the services, while the term 0.75x represents the flat fee of $0.75.

The coefficient 5 represents the flat fee of $5, while the term 0.75x represents a cost of $0.75 per minute for use of the services for x minutes.

The constant 5 represents a cost of $5 per minute for use of the services, while the term 0.75x represents the flat fee of $0.75.

The constant 5 represents the flat fee of $5, while the term 0.75x represents a cost of $0.75 per minute for use of the services for x minutes.

Answers

The constant 5 represents the flat fee of $5, while the term 0.75x represents a cost of $0.75 per minute for use of the services for x minutes. Therefore, option D is the correct answer.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is 5+0.75x.

In the given expression, 5 is constant term and 0.75x is another term.

In the term 0.75x, 0.75 is the coefficient of x

In the expression 5+0.75x, 5 is fixed price and 0.75 is price for second or minute or hour or year and x can be number seconds or minutes or hours or years.

Therefore, option D is the correct answer.

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5. Which of the following is an arithmetic
sequence?
A
B
C
D
-2, -5, -8, -11, -14, -17, ...
0,5, 0, 10, 0, 15, ...
2, 4, 8, 16, 32, ...
5, 11, 17, 23, 29, 36, ...

Answers

Answer:

A. -2, -5, -8, -11, -14, -17, ...

Step-by-step explanation:

The difference between consecutive terms is constant.

PLease help meh im begging you
Determine the measurement of ∠A, the angle marked in red.


The measure of ∠A is __________Degrees?

Answers

Answer:

x= 222 degress

Step-by-step explanation:

complete this working to write 9³ as a power of 3

9³=9x9x9

so 9³= 3x3x3x ____

so 9³=3^y where y=____

Answers

Answer: y=6

Step-by-step explanation:

If using the method of completing the square to solve the quadratic equation x 2 + x + 9 = 0, which number would have to be added to "complete the square"?

Answers

Answer:

Below

Step-by-step explanation:

To complete the square, the coefficient of x^2 must be 1  ( it is already)

   then take 1/2 of the x coefficient  .... 1/2.... square it and add it to both sides of the equation

   x^2 + x + 1/4   + 9   = 1/4

 then you can reduce this to

   ( x+ 1/2)^2  + 9 = 1/4   for further 'solving'

will mark brainliest pls
-photo is attached ! :)


The figures are similar, and the ratio of the perimeters is 2: 5. Find x.

Answers

Answer: x=3.2

Ste by Step

We have that for the Question "The figures are similar, and the ratio of the perimeters is 2 : 5. Find x." it can be said that  the perimeters of x is

x=3.2

From the question we are told

The figures are similar, and the ratio of the perimeters is 2 : 5. Find x.

Generally the equation for the the ratio is mathematically given as

2=x

and

5=8

Therefore

x=3.2

Therefore

the perimeters of x is

x=3.2

Elena's distance and times for a training run are given by the equation y=8.5x, where x represents distance in miles and y represents time in minutes

Answers

Elena is covering a distance of 8 miles in one minute.

What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is that Elena's distance and times for a training run are given by the equation → y = 8.5x

Now, if we consider the equation, it can be seen that the number {8.5} gives the unit rate or slope of the graph of the straight line. So, she is running at a speed of 8.5 miles per minute.

Therefore, Elena is running at a speed of 8.5 miles per minute.

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x − 3y = −12 2x − y = 1 (1 point) a line includes points 0 comma 1 and negative 3 comma negative 4. A line includes points 0 comma negative 4 and negative 6 comma negative 2 a line includes points 0 comma 4 and 1 comma 3. A line includes points negative 2 comma 2 and negative 4 comma 0 a line includes points 0 comma negative 1 and 1 comma negative 3. A line includes points 6 comma negative 10 and 3 comma negative 11 a line includes points 0 comma 4 and 3 comma 5. A line includes points 1 comma 1 and 2 comma 3

Answers

By graphing the system of equations, we can see that the solution is (3, 5).

How to solve the system of equations?

I assume we want to solve the following system of equations graphically:

x - 3y = -12

2x - y = 1

To do so we only need to graph both the lines on the same coordinate axis and find the point where the lines do intersect. The graph can be seen below.

There we can see that the intersection is at (3, 5), so that is the solution of the system of equations.

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A kangaroo hopped directly toward a lake at a constant velocity for 30seconds. In one-third of that time, the kangaroo hopped 60meters. What was the kangaroo's velocity?

Answers

Answer: The animal hopped 60 meters in 10 seconds

6 m/s (lol)

Step-by-step explanation:

First off ok and second off bye <3

which statement must be true?

Answers

Answer:

DF=FE

Step-by-step explanation:

first to make it easier we can find the angles to each side

the sum of all angles of a triangle equal 180 degrees so to find x we set all the angles equal to 180

(3x+5)+(4x-15)+(2x+10)=180

9x+0=180

/9.     /9

x=20

now we can find each angle

3(20)+5

60+5

D=65 degrees

4(20)-15

80-15

E= 65 degrees

2(20)+10

40+10

F=50 degrees

Angle D and E are the only angles equal to each other so answer C and d ARE INCORRECT

Since there are 2 of the same angles this is an isosceles triangle

the 2 of the same angles are the base so the side going up are connecting to the top angle F so the sides will be DF and FE and these are equal

hopes this helps

cory has $3$ apples, $2$ oranges and $2$ bananas. if cory eats one piece of his fruit per day for a week and the pieces of fruit within each category are indistinguishable, in how many orders can cory eat the fruit? one such order is $aaaoobb.$

Answers

Then the orders can Cory eat the fruit is = 25

Given that,

If Cory has eat apples = 3$

If Cory has eat oranges = 2$

If Cory has eat bananas = 2$

Total eat fruits = 3 + 2 + 2

Total eat fruits = 7$

We have to express the amount of total fruits as an equation.

The amount of apples will be x,

The amount of oranges will be y,

The amount of bananas will be z

The amount of apples multiplied by 7 because they ate each day of the week.

7*(x) + y + z = now we have to replace the values ​​of x, y and z with the ones that gave us the problem

Then,

x = 3

y = 2

z = 2

So,

We can write,

7*(x) + y + z = 7 *(3) + 2 + 2

= 21 + 2 + 2

= 25

Therefore,

Then the orders can Cory eat the fruit is = 25

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5/7 of.... is 1/7. What is the missing number?

Answers

The missing number is      [tex]\frac{1}{5}[/tex]

Let the missing number be x.

now, [tex]\frac{5x}{7}[/tex] = [tex]\frac{1}{7}[/tex]

on cross multiplying we get,

x= [tex]\frac{7}{35}[/tex]

on simplifying,

x= [tex]\frac{1}{5}[/tex]

Hence, the missing number is      [tex]\frac{1}{5}[/tex]

What is cross multiplying?

An equation involving a variable as a component of two fractions set equal to one another can be solved by cross multiplying. Cross-multiplying lowers the proportion to one straightforward equation, enabling you to solve for the variable in issue. The variable serves as a placeholder for an unknowable number or quantity.

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