How many terms are in the expression 4(x+8)+5(y+3) when simplified,and what are the terms?

Answer:

Therefore,

[tex]Segment\ AB \cong Segment\ AB[/tex] ....Reflexive Property.

Step-by-step explanation:

Reflexive Property :

Here it is given When

[tex]Segment\ AB \cong Segment\ AB[/tex]

AB is Equal to itself, Hence it is the Reflexive Property.

Therefore,

[tex]Segment\ AB \cong Segment\ AB[/tex] ....Reflexive Property.

Answer:

Explanation:

The theoretical probability, P (A), of an event, A, is:

For 10 cranberry and 15 strawberry juices, the number of outcomes for two strawberry juices are:

[tex]C^{15}_{2}=\frac{15!}{(15-2)!(2!)}=\frac{15!}{13!2!}=\frac{15\times 14}{2}=105[/tex]

The total number of possible outcomes is:

[tex]C^{25}_{2}=\frac{25!}{(25-2)!(2!)}=\frac{25!}{23!2!}=\frac{25\times 24}{2}=300[/tex]

Thus, the probability of randomly picking two strawberry juices is:

Note that you can obtain it as the product of the probabilities that the first juice is a strawberry juice and the second juice is also strawberry juice:

[tex]15/25\times 14/24=(15\times 25)/(14\times 24)=210/600=7/20[/tex]

Answer:

the middle sequentially in a list of numbers (sorted from lowest to highest)

Step-by-step explanation:

for example, in the dataset 2, 4, 6, 8, 10, 6 would be the median because it is in the middle when sorted properly

Answer: The median is the middle value in the list of numbers

Step-by-step explanation:

For example: 5,3,7,10,22,12,15,100,98

The median is 22 because it is in the middle of all the number displayed

Answer:

The base of the tree from a stake anchoring the wire is 18.67 feet far.

Step-by-step explanation:

Given:

the length of the wire  = 20 feet

Angle that the wire makes with the ground = 21 degrees

To Find:

The Distance from the base of the tree from the stake anchoring wire = ?

Solution:

We we construct a figure using the given data we end up with the right triangle as shown below

So now we can use the cosine ratio to find the distance from the base of the tree to the anchoring wire

Let d be the distance of  base of the tree from a stake anchoring the wire

[tex]Cos(angle) =\frac{\text{Adjacent side}}{Hypotenuse}[/tex]

On substituting the values we get

[tex]cos(21^{\circ}) =\frac{d}{20}[/tex]

[tex]d = cos(21^{\circ}) \times 20[/tex]

d = [tex]0.9335 \times 20[/tex]

d = 18.67 feet

I'm going to assume that you want to know whether the coordinate satisfies the equation. Let's find out;

-3х - 6у = 17

-3(6) - 6(3) = 17

-18 - 18 = 17

-36 ≠ 17

The point (6, 3) does NOT satisfy the equation.

Best of Luck!

Answer:

Mrs. McCarr buys 90 markers

Step-by-step explanation:

10 markers per package × 9 packages of markers = 90 markers in total

90 markers because 10 times 9 equals 90

Answer:

No Solution.

Step-by-step explanation:

2x+3y=4

4x+6y=9

-------------

-2(2x+3y)=-2(4)

4x+6y=9

----------------------

-4x-6y=-8

4x+6y=9

-------------------

0=1

no solution

Answer:

No solution.

Step-by-step explanation:

2x + 3y = 4

4x + 6y = 9

Multiply both sides of the first equation by -2. Then write the second equation below it and add them.

       -4x - 6y = -8

+       4x + 6y = 9

-------------------------

           0 + 0 = 1

Since the statement 0 = 1 is false, there is no solution to this system of equation.

Answer:

4 inches

Step-by-step explanation:

express the mixed fraction in improper form

3 1/4  = 13/4

4 3/4  = 19/4

hence total growth

=  3 1/4  +  4 3/4

=  13/4 + 19/4

= (13+19)/4

= 32/4

= 4 inches

Answer:

8 inches.

Step-by-step explanation:

3 1/4 + 4 3/4

= 3 + 4 + 1/4 + 3/4

= 7 + 4/4

= 7 + 1 = 8 inches.

The average speed of John and Alice are determined first by dividing the total distance by the total time taken. The ratio of the average speeds is 25:45 or in simplified form, 5:9. Therefore, the correct answer to the question is (c) 5:9.

To find the ratio of the average speed of John to Alice, we first need to calculate their average speed individually. The average speed is obtained by dividing the total distance covered by the total time taken.

For John, his average speed would be 150km/6 hours = 25km/h. For Alice, her average speed would be 180km/4 hours = 45km/h.

So, the ratio of the average speed of John to Alice would be 25 : 45. In simplest form, this ratio becomes 5 : 9 (divided both numbers by 5).

Therefore, the answer is (c) 5:9.

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Answer:

[tex]h(0)=400[/tex]

The above function value for [tex]h(0)[/tex] shows that height of the ball before it was dropped i.e. at time = 0 seconds.

The height of the ball above the ground before it was dropped = 400 ft.

Step-by-step explanation:

Given:

The quadratic function that models the height of the baseball above the ground in feet , [tex]t[/tex] seconds after it was dropped is given as:

[tex]h(t)=-16t^2+400[/tex]

To find [tex]h(0)[/tex] and interpret the meaning of the function value in contect of the problem.

Solution:

In order to find [tex]h(0)[/tex], we will replace [tex]t=0[/tex] in the given function as [tex]h(t)[/tex] is a function of time [tex]t[/tex].

Thus, we have:

[tex]h(0)=-16(0)^2+400[/tex]

[tex]h(0)=16(0)+400[/tex]

[tex]h(0)=0+400[/tex]

[tex]h(0)=400[/tex]  (Answer)

The above function value for [tex]h(0)[/tex] shows that height of the ball before it was dropped i.e. at time = 0 seconds.

The height of the ball above the ground before it was dropped = 400 ft.

Answer:

21/45

Step-by-step explanation:

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Answer:

100 minutes

Step-by-step explanation:

25 x 10 = 250

10×10=100

The length of flag is 760 feet and width of flag is 320 feet

Solution:

A seed company planted a floral mosaic of a national flag

Since, the flag is generally of shape rectangle, we can use the formula of rectangle

Let "a" be the length of rectangle

Let "b" be the width of rectangle

The length is 440 ft greater than the width

Length = 440 + width

a = 440 + b ----- eqn 1

The perimeter of the flag is 2,160 ft

The perimeter of rectangle is given as:

Perimeter = 2(length + width)

Substituting the given values, we get

2160 = 2(440 + b + b)

2160 = 880 + 4b

4b = 2160 - 880

4b = 1280

b = 320

Substitute b = 320 in eqn 1

a = 440 + 320

a = 760

Thus the length of flag is 760 feet and width of flag is 320 feet

Answer:

35

Step-by-step explanation:

put 7 instead x and it will be 5*7 that is 35

The price of gasoline in this week is 1.05g. Option C

Step-by-step explanation:

Given,

The price of a gallon of gasoline = g in last week.

The price of gasoline increased by 5% this week.

To find the price of gasoline this week.

Formula

If an original price of an object a increased by b% the final price will be = a×[tex]\frac{100+b}{100}[/tex]

So,

The price of gasoline in this week = g×1.05 = 1.05g

[ Please note: Here option C and E have same value. So, both are correct].

The expressions represent this week's price, in dollars, of a gallon of gasoline, is 1.05g.

Given that,

Last week the price, in dollars, of a gallon of gasoline was g.

This week the price of gasoline per gallon increased by 5%.

We have to determine,

Which expressions represent this week's price, in dollars, of a gallon of gasoline?

According to the question,

The price of a gallon of gasoline = g in last week.

The price of gasoline increased = 5% = 0.05

The expressions represent this week's price, in dollars, of a gallon of gasoline is,

= Price of gallon last week + Price of gallon increased this week

= g + 0.05g

= (1 + 0.05)g

= 1.05g

Hence, The expressions represent this week's price, in dollars, of a gallon of gasoline, is 1.05g.

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Answer:

Step-by-step explanation:

Simple interest = [tex]650*\frac{3}{100}=$19.5[/tex]

End of first year = 650+19.5 = $669.50

End of second year = 669.50+19.5 = $ 689

End of third year = 689+19.5 = $708.50

End of fourth year = 708.50 +19.5 = $ 728

End of fifth year = 728 +19.5 = $747.50

Answer:

The slope of the line is: 1

The y-intercept is: -3

You can graph the line using the slope and y-intercept, or two points.

Answer:

1.

Step-by-step explanation:

The general form of a line is y = mx + c   where m = the slope.

y = x - 3

or we can write it as y = 1x - 3

- so the slope is 1.

Answer:

x=20.8 units

Step-by-step explanation:

The picture of the question in the attached figure

we know that

In a circle, perpendicular bisector of a chord passes through the center of a circle

That means

x/2 is the base of the right triangle of the figure

Applying the Pythagorean Theorem in the right triangle

[tex]12^2=6^2+(\frac{x}{2})^2[/tex]

Solve for x

[tex]144=36+\frac{x^2}{4}\\\\\frac{x^2}{4}=144-36\\\\\frac{x^2}{4}=108\\\\x^2=432\\\\x=20.8\ units[/tex]

Answer:

1

Step-by-step explanation:

Answer:

(4, 6).

Step-by-step explanation:

7x – 5y = -2

y = 7x – 22  

-7x + y = -22   Adding this to equation 1:

-4y = -24

y = 6.

Plug this into the second equation:

6 = 7x - 22

7x = 28

x = 4.

448 square inches.

The surface area of the box is 448 square inches so that is the least amount of paper needed to cover the box.

Answer:204

Step-by-step explanation: Just that good.

Answer:

put a pic of the question

Step-by-step explanation:

plz

Step-by-step explanation:

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An equation is created to solve for the brother's age: b - 18 = 19. By adding 18 to both sides, we determine the brother is 37 years old.

To solve for the brother's age, you need to create an equation based on the information given. Since the sister is 19 years old, and the brother says his age minus eighteen is equal to the sister's age, the equation is: b - 18 = 19.

Now, solve for b (the brother's age) by adding 18 to both sides of the equation:

Therefore, the brother is 37 years old.

Answer:

Step-by-step explanation:

j + p = 178

j = p + 10

p + 10 + p = 178

2p + 10 = 178

2p = 178 - 10

2p = 168

p = 168/2

p = 84 <==== Phil's score

j = p + 10

j = 84 + 10

j = 94 <====Jerry's score

Final answer:

Jerry scored 94 and Phil scored 84.

Explanation:

To find Jerry and Phil's scores, we'll set up two equations based on the given information. Let's say Jerry's score is represented by 'J' and Phil's score is represented by 'P'. We know that Jerry scored 10 points higher than Phil, so J = P + 10. We also know that their scores combined equal 178, so J + P = 178. Now we can solve these two equations to find each student's score. Substituting the first equation into the second equation, we get (P + 10) + P = 178. Simplifying this equation gives us 2P + 10 = 178. Subtracting 10 from both sides gives us 2P = 168. Finally, dividing both sides by 2 gives us P = 84. So Phil's score is 84. Substituting this value back into the first equation, we get J = 84 + 10 which gives us J = 94. Therefore, Jerry's score is 94.

Step-by-step explanation:

The exponent form of the given product is given by 8³

Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplify algebraic expressions.

Given here: The product of 8×8×8

We know by the law of exponents that

a×a×a=a³

Thus 8×8×8=8³

Hence, The exponent form of the given product is given by 8³

Learn more about exponents here:

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Answer:

8

Step-by-step explanation:

Notice:

32 = (8 x 4)

72 = (8 x 9)

Hence,

32 + 72

= (8 x 4) + (8 x 9)       (factorize out the 8)

= 8 x (4 + 9)

therefore the musing number is 8

Answer:

Step-by-step explanation:

32  + 72 = 8*4 + 8* 9

= 8* (4 + 9)

So 8 will come in the blank

Answer:

2,325.58 Gallons

Step-by-step explanation:

20,000÷8.6=2,325.58

Answer:

Therefore the value of n is

[tex]n=-9[/tex]

Step-by-step explanation:

Given:

[tex]x^{12}y^{-13}x^{-5}y^{4}=x^{m}y^{n}[/tex]

To Find:

n = ?

Solution:

Using identity

[tex]1.\ x^{a}x^{b}=x^{a+b}[/tex]

[tex]2.\ x^{a}x^{-b}=x^{a-b}[/tex]

[tex]3.\ x^{-a}x^{b}=x^{-a+b}[/tex]

Therefore

[tex]x^{(12-5)}y^{(-13+4)}=x^{m}y^{n}[/tex]

[tex]x^{7}y^{-9}=x^{m}y^{n}[/tex]

Now on Comparing and Equality Property we get

[tex]m =7\\n=-9[/tex]

Therefore the value of n is

[tex]n=-9[/tex]

The final expression is  [tex]x^{7}[/tex] [tex]y^{-9}[/tex] , making n = -9.

The given expression is([tex]x^{12}[/tex])([tex]y^{-13}[/tex])([tex]x^{-5}[/tex])([tex]y^4[/tex]). We want to find the equivalent expression in the form [tex]x^{m}[/tex] [tex]y^n[/tex], where m and n are exponents that we need to determine.

Here's how to simplify it step by step:

[tex]x^{12}[/tex] * [tex]x^{-5}[/tex] = [tex]x^{12-5}[/tex] = [tex]x^{7}[/tex]

    2.  Combine the exponents of y:

[tex]y^{-13}[/tex] *[tex]y^{4}[/tex] = [tex]y^{-13+4}[/tex] = [tex]y^{-9}[/tex]

Therefore, the expression simplifies to [tex]x^{7}[/tex] [tex]y^{-9}[/tex]. This means that m = 7 and n = -9. Thus, the value of n is -9.

Question-The expression ([tex]x^{12}[/tex])([tex]y^{-13}[/tex])([tex]x^{-5}[/tex])([tex]y^4[/tex]) is equivalent to [tex]x^m y^n[/tex].

What is the value of n?

Answer:

36

Step-by-step explanation:

10% of 360=10/100*360=1/10*360=360/10=36

Answer:

$36 or  $360

Step-by-step explanation:

Answer:

The speed of the bus after it decreased by 55% is now 27 miles per hour.

Answer: The speed of the bus inside city limits is... 27 mph

- Hope this helps!