What are the possible values of the missing term of the geometric sequence 6,....,13.5?

Answer:

The given two triangles are not congruent.

Step-by-step explanation:

See the diagram of the two triangles attached to this question.

The third angle of the second triangle is [180° - (31° + 124°)] = 180° - 155° = 25°.{Since the other two angles of the triangle are 31° and 124°}

Now, for the first triangle, the values of the adjacent angles of the side with length 6 are 45° and 31°, but for the second triangle, the values of the adjacent angles of the side with length 6 are 25° and 31°.

Therefore, two triangles do not satisfy the Angle=Side-Angle i.e. ASA criteria to become congruent.  

So, the given two triangles are not congruent. (Answer)

Answer:

y=-22

Step-by-step explanation:

y=22x at (-1, y)

y=22(-1)=-22

Answer:

y=-4

Step-by-step explanation:

Answer:

11x + 10y

Step-by-step explanation:

(5x + 3y) - (2x - 7y) + 8x

• Remove the parentheses:

5x + 3y - 2x + 7y + 8x

• Collect like terms:

(5x - 2x + 8x) + (3y + 7y)

• Simplify:

11x + 10y

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Let x = number of white marbles and y = number of yellow marbles.

x + y = 57 => x = 57 - y

Also, x = 3 + 5y

Substitute x for y.

57 - y = 3 + 5y => 57 - 3 = 54 = 6y

So, y = 9

Since x (our answer) = 3 + 5 (9),

x = 48.

Check: 48 + 9 = 57 total

The value of x, that solves the equation 0.5 to the power of x equals 128, is approximately -7. This is found first by rearranging the equation into the logarithmic form, then using the change of base formula to solve for x.

The question is asking to solve the equation 0.5 to the power of x equals 128 for the value of x. In order to solve this, we can use the properties of logarithms. Firstly, re-write the equation in log form as log (base 0.5) 128 = x.

We can use the change of base formula which is logba = logca / logcb, where c can be any positive value different than 1 (usually we use 10 or e). If we apply this to our formula it becomes: x = log 128 / log 0.5.

By calculation, x is approximated to -7. This means that when you raise 0.5 to the power of -7, you will get 128.

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Answer:

-20 + (-10) + 15 = -15

Step-by-step explanation:

Answer:

47/16

Step-by-step explanation:

7 5/6=47/6

2 2/3=8/3

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

(47/6)/(8/3)=(47/6)(3/8)=(47/2)(1/8)=47/16

Answer:

The the price of one ream of paper is $6.5.

Step-by-step explanation:

Here, Let us assume the cost of one ream of paper  = $  m

The money spent by Fred:

The money spent on a  binder  = $4.50

The money spent on 6 ream of papers  =  6 x ( cost of 1 ream )

= 6 x ($m) = 6 m

⇒The total money Fred spent  = Money spent on (binder + 6 ream of papers)  

= 4.50 + 6 m  ....... (1)

The money spent by Latasha:

The money spent on a cartridge = $17.50

The money spent on 4 ream of papers  =  4 x ( cost of 1 ream )

= 4 x ($m) = 4 m

⇒The total money Latasha spent  = Money spent on (cartridge + 4 ream of papers)  

= 17 .50 + 4 m  .... (2)

Also, Both spend the same amount of money

⇒4.50 + 6 m = 17 .50 + 4 m   ( from (1) and (2))

or, 6 m - 4  m= 17. 50 - 4, 50

or, 2 m =  13

or, m = 13/ 2  = 6.5

So, the value of m = $6.5

Hence, the the price of one ream of paper is $6.5.

Answer: 233.7

Step-by-step explanation:

Answer:

-0.5, -0.25, 0.6, 0.625

Step-by-step explanation:

-1/4=-0.25

6/10=3/5=0.6

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

The price of car is $18000

Step-by-step explanation:

Given

Sales tax on car = $1080

Rate = 6%

Let x be the price of the car

We know that as the rate of sale tax is 6%, 6% of x is 1080

Using mathematical notation

0.06x = 1080

Dividing both sides by 0.06

[tex]\frac{0.06x}{0.06} = \frac{1080}{0.06}\\\\x = 18000[/tex]

Hence,

The price of car is $18000

Keywords: Rate of tax, Percentage

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Answer:

So, the answer is option B: a = −5, b = −9, c = 12

Step-by-step explanation:

The general form of the quadratic Formula is  ax² + bx + c = 0

We need to compare the given quadratic equation to the general form

 ax² + bx + c = 0

−5x² − 9x + 12 = 0

So, we can deduce that

a = -5 , b = -9 and c = 12

So, the answer is option B: a = −5, b = −9, c = 12

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Answer:

3/4 cup milk

Step-by-step explanation:

I order to be able to compare quantities that come in fraction form, the best is to write all of them as equivalent fractions with the same denominator. That way just looking at the magnitude of the numerators will allow us to give the answer.

the fractions to consider are: [tex]\frac{3}{4} \,,\, \frac{2}{6} \,, \, and\, \frac{8}{12}[/tex]

so the denominators in question are: 4, 6, and 12.

We see that 12 is the Least Common Denominator (LCD) of these three, since 4 divides perfectly 12, 6 divides 12 perfectly, and 12 divides itself perfectly as well.

Now, the initial fractions can be re-written with equivalent fractions showing denominator 12.We do such by multiplying numerator and denominator of the first fraction by "3" in order to get a "12" in the denominator. By multiplying the second fraction by 2 in numerator and denominator to get a "12" in the denominator. Notice that we don't need to modify the third fraction since it is already expressed with denominator 12:

[tex]\frac{3}{4} \,,\, \frac{2}{6} \,, \, and\, \frac{8}{12}=\\=\,\frac{9}{12} \,,\, \frac{4}{12} \,, \, and\, \frac{8}{12}[/tex]

Therefore, the greatest of these is the first fraction, that shows a "9" in the numerator (the largest of the three numerators)

Answer:

x-intercept = (1, 0)

y-intercept = (0, −3)

Step-by-step explanation:

These is the only answer that make the most sense:

x-intercept: [tex]\displaystyle 0 = y[/tex]

y-intercept: [tex]\displaystyle 0 = x[/tex]

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The intercepts of the graph function are:

The x-intercept is (-1, 0).

The y-intercept is (0, 3).

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

From the graph,

The x-intercept is the point when y = 0.

The y-intercept is the point when x = 0.

So,

The x-intercept is (-1, 0).

The y-intercept is (0, 3).

Thus,

The intercepts of the graph function is:

The x-intercept is (-1, 0).

The y-intercept is (0, 3).

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Answer:

2 three points shots and 4 two points shots

Step-by-step explanation:

Let x be the number of three points shots.

Alexander  made twice as many two points shots as three points shots, so the number of two points shots is 2x.

Amount earned in three points shots [tex]=3\cdot x[/tex]

Amount earned in two points shots [tex]=2\cdot (2x)=4x[/tex]

Total score [tex]=3x+4x=7x[/tex]

Alexander scores a total of 14 points, then

[tex]7x=14\\ \\x=2\\ \\2x=2\cdot 2=4[/tex]

Answer:

2.63

Step-by-step explanation:

29/11=2.63

Answer:

2.64

Step-by-step explanation:

First you Set the problem up like

11/29

then you take

11/29

11x2= 22

29

-

22

=

7

Answer:

∠5 = 27°

Step-by-step explanation:

CDB = ABD (alternate angle)

∠2 = ∠5

∠5 = 27°

(Correct me if i am wrong)

Answer:

∠5 = 27°

Step-by-step explanation:

CDB = ABD (alternate angle)

∠2 = ∠5

∠5 = 27°

Answer:

There are pumpkin 756 seeds in all.

Step-by-step explanation:

Given:

Angel buys 6 pumpkins. Each pumpkin has about 756 seeds inside.

Now, to find total pumpkin seeds we multiply the total number of pumpkin from total number of seeds in each pumpkin has:

There are total 6 pumpkins.

In 1 pumpkin it has 756 seeds.

So, in 6 pumpkins there are = [tex]756\times 6[/tex]

                                              =  [tex]4536[/tex].

Therefore, there are pumpkin 756 seeds in all.

The information not needed for this calculation includes the details about sunflower seeds, almonds, sunflower oil, etc., that are irrelevant to the question. The key information to use is the number of pumpkins and the average number of seeds per pumpkin. The total number of roasted pumpkin seeds are 4,536.

Angel has 6 pumpkins, and each pumpkin has about 756 seeds.

Multiply the number of pumpkins by the number of seeds per pumpkin to find the total number of seeds: 6 pumpkins times 756 seeds per pumpkin.

Perform the multiplication to find the total: 6 times 756 = 4,536 seeds.

Answer:

Rita spend [tex]\frac{5}{8}[/tex] of hour more on her chemistry assignment.

Step-by-step explanation:

Fraction of an hour Rita spent on chemistry assignment = [tex]\frac{7}{8}[/tex]

Fraction of an hour Rita spent on math assignment = [tex]\frac{1}{4}[/tex]

∴ Fraction of  hour Rita spent more on her chemistry assignment than math assignment

⇒  [tex]\frac{7}{8}-\frac{1}{4}[/tex]

To subtract fractions we take LCD for 4 and 8. Since 8 is the least common multiple for 4 and 8 so, we take LCD= 8

To make the denominators same we need to multiply numerator and denominator of second fraction with 2.

⇒ [tex]\frac{7}{8}-\frac{1\times2}{4\times2}[/tex]

⇒ [tex]\frac{7}{8}-\frac{2}{8}[/tex]

After making the denominators common, we simply subtract numerators.

⇒ [tex]\frac{7-2}{8}[/tex]

⇒ [tex]\frac{5}{8}[/tex]

Therefore, Rita spend [tex]\frac{5}{8}[/tex] of hour more on her chemistry assignment.

Answer:

Option(d)

C = 0.46(w - 5) + 9.7

Explanation:

We are given that the delivery cost of any package has a fixed value of 9.7$ and an additional value for every 5 lbs extra weight and the additional value is given to be 0.46.

The equation for total cost C for given total weight w can be written by

sum of fixed value and every 5 extra lbs

which can be represented by the equation

C= 0.46(w-5) + 97.

Hence,  this represents a linear model for the given data.

Answer:30

Step-by-step explanation:

it’s division. there’s some left over but they wouldn’t make a complete page.

493/16=30.8....

The equivalent expression using associative property is [tex]5 \times(3 \times 12)[/tex]

Given expression is [(5.3). 12]

We are asked to write a equivalent expression using associative property

The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis

Associative property is as follow:-

a + (b + c) = (a + b) + c   { for Addition}

(a x b) x c = a x (b x c)  { for multiplication}

The given expression is [(5.3). 12], which can be written as

[tex](5 \times 3) \times 12=5 \times(3 \times 12)[/tex]

Answer:

About 34

Step-by-step explanation:

There are 168 chocolate chips in 5 ounces. That means you want to know how many chips there are per ounce. Divide 168 by 5 and you get approximately 34 chocolate chips per ounce (33.6 if you need this)

Answer:

34

Step-by-step explanation:

All you have to do is divide

168 / 5 = 33.6

so about 34 chocolate chips in an ounce

25 scholars × 3 candies = 75 candies

5 candies for himself = 80

Answer: 80 candies

An inequality statement to represent the least number of candies that Mr.Rogers can buy is 80≥x.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, Mr.Rogers distribute the candy equally among his 25 scholars.

Let the total number of candies be x.

Here, inequality is 25×3+5≥x

80≥x

Therefore, an inequality statement to represent the least number of candies that Mr.Rogers can buy is 80≥x.

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Answer:

a = 1

h = 3

k = -4

Step-by-step explanation:

To convert this standard form equation to vertex form, use complete the square.

f(x) = x² - 6x + 5

f(x) = (x² - 6x) + 5   <=group ax² and bx, factor out if needed, not in this case.

add and subtract (middle term/2)²

f(x) = (x² - 6x + (6/2)² - (6/2)²) + 5   <=adding and subtracting the same number is like adding 0

f(x) = (x² - 6x + 9 - 9) + 5  <=simplify

f(x) = (x² - 6x + 9) -9 + 5   <=take out the negative constant

f(x) = (x - 3)² - 4    <=perfect square rule in brackets, simplify outside

a = 1   <= Nothing needed to be factored out from ax² and bx.

h = 3   <=If anyone says h = -3, they are wrong. the negative is already in the general equation which says "x-h". It does not say "x+h".

k = -4

Answer: 19

Step-by-step explanation:

j+2j-3 = 30

3j = 33

j = 11

and

b = 2j-3

b = 2(11)-3

b = 19

Answer:19

Step-by-step explanation: