The least common multiple of 52,65 and 91 is what?​

Answer:

Step-by-step explanation:

The same bases (9) needs the same exponents to be equal:

[tex]\big9^{2x + 1}=\big9^{3x-2}\quad\iff\quad 2x+1=3x-2\\\\2x+1=3x-2\\\\2x-3x=-2-1\\\\-x=-3\\\\x=3[/tex]

The computation of the indices show that the value of x in 9^(2x + 1) = 9^(3x – 2) is 3.

From the information given, we are told to simply solve 9^(2x + 1) = 9^(3x – 2). In this case, the exponents given are equal which is 9.

Therefore, 2x + 1 = 3x - 2

Collect like terms

3x - 2x = 1 + 2

x = 3

Therefore, the value of x is 3.

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Answer:

[tex]3a {}^{2} [/tex]

Answer:

Step-by-step explanation:

Let's write an expression.

Let's say m is miles and h is hours.

[tex] 792m = 11h [/tex]

Simplify.

11 ÷ 11 = 1

792 ÷ 11 = 72

Let's rewrite our expression.

[tex]  72m = 1h [/tex]

Using this formula, you can solve anything! :)

Answer:

Hey there!

4 2/3 can be written as 14/3

The ones that represent a rational number are the fourth and fifth options.

Let me know if this helps :)

Answer:

Yes

Step-by-step explanation:

Is [tex]34.223[/tex] greater than [tex]34.232[/tex]?

Let's compare these two decimals.

[tex]34.223[/tex]  ?  [tex]34.232[/tex]

It may look like [tex]34.232[/tex] is bigger but it actually isn't. The first thing you have to do is look at the last digit in the decimal.

In the first decimal([tex]34.223[/tex]), the last digit is 3. In the second decimal([tex]34.232[/tex]), the last digit is 2. 3 is bigger than 2 so the decimal that is greater is [tex]34.223[/tex].

Hope this helps!

Answer:

Step-by-step explanation: just learn

Answer:

[tex] {b}^{2} + 5b - 14[/tex]

Step-by-step explanation:

By algebraic identity:

[tex](x + a)(x + b) = {x}^{2} + (a + b)x + ab \\ we \: have \\ (b - 2)(b + 7) \\ = {b}^{2} + ( - 2 + 7)b + ( - 2)7 \\ = {b}^{2} + 5b - 14[/tex]

Step-by-step explanation:

Hope it is helpful for you

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Answer:

12.0

Step-by-step explanation:

Given the two points shown on the graph above, assuming 1 unit = 1 box, the coordinates of the two points are: (2, 7) and (-6, -2)

Use the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_2)^2} [/tex], to find the distance between points (2, 7) and (-6, -2)

Let,

[tex] (2, 7) = (x_1, y_1) [/tex]

[tex] (-6, -2) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(-6 - 2)^2 + (-2 - 7)^2} [/tex]

[tex] d = \sqrt{(-8)^2 + (-9)^2} [/tex]

[tex] d = \sqrt{64 + 81} = \sqrt{145} = 12.0 units [/tex] (nearest tenth)

Formula: d = √(x2-x1)²+(y2-y1)²

d = √(11-3)²+(11-5)²

d = √8²+6²

d = √64+36

d = √100

d = 10

Best of Luck!

Answer:

127 from 35

127 - 35

92

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

Answer: Denominator ♥️

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Since the coefficient of the x² term is negative (we know this because if you look at C, the coefficient of x² is -2, which is negative) we know that the vertex will be the maximum. To find the vertex without having to be rewritten, a quadratic function should be written in vertex form which is y = a(x - c)² + d where (c, d) is the vertex. The answer choice that is written in vertex form is A.

Answer:

The low is -13 degrees Fahrenheit. The high is 109.4 or 109 2/5 degrees Fahrenheit.

Step-by-step explanation:

To get the low you plug -25 in for C(Celsius) and then you solve for F. First you can multiply both sides by nine. Second you need to distribute the 5, and this will give you 5F-160. Next add 160 to both sides, and now you should have, -65 = 5F. And finally you divide both sides by five to get a final answer of F = -13. To get the high follow these steps again, except this time plug in 43 for C.

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▹ Answer

8 - 3q

▹ Step-by-Step Explanation

19 - 4q + q - 11

Combine like terms in terms of q:

-4q + q = -3q

Combine like terms:

19 - 11 = 8

Final answer:

8 - 3q

Hope this helps!

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Answer:

goo

Step-by-step explanation:

I dont even know how to start answering that last question...

Answer:

3[tex]\frac{3}{4}[/tex] / 3.75

Step-by-step explanation:

[tex]\frac{15}{4}[/tex]

calculate the value

3.75

Answer:

2$ per candy bar

Step-by-step explanation:

21 - 3 = 18

18/9 = 2

Hopefully this helps you :)

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Answer:

Phyllis invested $11,000 at a simple interest rate of 7 percent per year and $40,000 at a simple interest rate of 4 percent per year.

Step-by-step explanation:

From the information provided, you can write the following equations:

x+y=51000 (1)

0.04x+0.07y=2370 (2), where

x is the portion earning a simple interest rate of 4 percent per year

y is the portion earning a simple interest rate of 7 percent per year

First, you can isolate x in (1):

x=51000-y (3)

Now, you can replace (3) in (2) and solve for y:

0.04(51000-y)+0.07y=2370

2040-0.04y+0.07y=2370

0.03y=330

y=330/0.03

y=11000

Then, you can replace the value of y in (3) to find the value of x:

x=51000-11000

x=40000

According to this, the answer is that Phyllis invested $11,000 at a simple interest rate of 7 percent per year and $40,000 at a simple interest rate of 4 percent per year.

Answer:

The answer is -13.

Step-by-step explanation:

We get the smallest value of [tex]x[/tex] when [tex]x+1[/tex] is the most negative factor of 12, which is -12. Therefore,

                                                     [tex]x+1=-12\\x=\boxed{-13}[/tex]

Answer:

The number of ways the bus can be filled is 28 ways

Step-by-step explanation:

The given parameters are;

The number of seats in the bus =  6

The number of passengers available = 8

The number of ways the bus can be filled involve the number of ways of selecting from the 8 passengers taking 6 at a time given as follows;

The combination of n items, taking n items, taking r at a time is [tex]_nC_r[/tex]  which can be given as follows;

[tex]_nC_r = \dfrac{n!}{r! \cdot (n - 1)}[/tex]

Therefore;

The number of ways the bus can be filled is therefore;

[tex]_8C_6 = \dfrac{8!}{6! \times (8 - 6)!}= \dfrac{8!}{6! \times 2!} = \dfrac{8 \times 7}{2 \times1} = 28 \ ways[/tex].

Answer:

24

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Basically when you add negative numbers, you subtract, if that makes sense.

Example:

If you have twelve apples, and then eat five of them, then you have seven left.

Answer:

Picture 1 has 5 green squares.  It is one square with a square coming out from each corner.  Picture 2 adds an additional square extending out from each corner square, making a total of 9 squares.  This pattern continues, adding 4 green squares total each time.  This means Picture 3 has 13 squares, Picture 4 has 17 squares, and Picture 5 will have 21 green squares.

Step-by-step explanation:

Picture one has 5 green squares.  It is one square with a square coming out from each corner.  Picture 2 adds an additional square extending out from each corner square, making a total of 9 squares.  This pattern continues, adding 4 squares total each time.  This means Picture 3 has 13 squares, Picture 4 has 17 squares, and Picture 5 will have 21 squares.

Answer:

he paid 168.75

Step-by-step explanation:

multiply 225 by .25 and you would get 56.25 and then subtrsct that from 225 and you would get your answer od 168.75

Answer:

191.25

Step-by-step explanation:

just look up 1/4 of 255 and you get 63.75. Now remove that from 255 and you get your answer.

Step-by-step explanation:

Let the first side is x, second side is (x+1) and the third sie is (x+2). The perimeter of the triangle is 114 cm.

It means,

x+x+1+x+2=114

3x+3=114

3(x+1)=114

x+1=38

x=37

So, first side is 37 cm

Second side is 37+1=38 m

Third side is 37+2=39 m

Hence, this is the required solution.

Answer:

x=25/3 & y=125/3

Step-by-step explanation:

Let first number be x

Second number be y

x+y=50

y=5x

=>x+5x=50

=>6x=50

=>x=50/6

=>x=25/3