Four times the first number minus three times the second number is 2. Two times the first number increased by three times the second is 10. Find both numbers.

Answer:

27 students received an A

Step-by-step explanation:

90% of 150 is 135

1/5 of 135 is 27

Answer:

  -27

Step-by-step explanation:

It looks like you're trying to evaluate ...

  [tex]\displaystyle 5^{\log_5{8}}-3^{\log_3{5}+\log_3{7}}=8-3^{\log_3{35}}=8-35=\boxed{-27}[/tex]

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The relevant rules are ...

  b^(log_b(x) = x

  log(a)+log(b) = log(ab)

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Explanation:

For now, let's focus on triangle AFG.

This is a right triangle with the following sides:

We'll use the pythagorean theorem to solve for x.

a^2 + b^2 = c^2

(FA)^2 + (FG)^2 = (AG)^2

x^2 + (6.1)^2 = (11.2)^2

x^2 + 37.21 = 125.44

x^2 = 125.44 - 37.21

x^2 = 88.23

x = sqrt(88.23)

x = 9.39308 approximately

Side FA is roughly 9.39308 units long.

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Let's say for a moment we don't know where point G is located, but we do know where points A, C, and E are located. We can determine G's location by determining the perpendicular bisectors for segments AE and EC, and then intersecting said perpendicular bisectors.

Put another way:

Because of the first bullet point, we know that AE is split into two equal pieces FA and FE, ie FA = FE.

We just found that FA = 9.39308 back in the last section, which means this is the length of FE as well.

Therefore,

AE = FA + FE

AE = 9.39308 + 9.39308

AE = 18.78616

AE = 18.8 when rounding to the nearest tenth, aka one decimal place.

Answer:

18.79

Step-by-step explanation:

→ Use Pythagoras theorem

√11.2² - 6.1²

→ Simplify

9.39

→ Now double the answer

18.79

Answer:

You want to maximize x and minimize y

Maximum y = 8

Minimum y = 10

8-10= -2

Answer:

11

Step-by-step explanation:

Arc YZ and angle YXZ must add up to 180. You can review your notes, and you will probably find an identity that relates to this. But I will prove this using quadrilaterals, mainly, well, because I forgot what the identity was.

Lets call the center of the circle O. Angles XYO and XZO must be 90 degrees since they are tangent to the circle. These angles add up to 180, leaving the two remaining angles, who also must add up to 180. Therefore, the angle YOZ, and YXZ, must add up to 180. Note that angle YOZ is equal to arc YZ.

In our case, angle YOZ is 125 degrees given by the arc YZ, and the angle of YXZ is 6x-11. We can set up an equation like this:

YXZ+YOZ=180

6x-11+125=180

Simplify

6x+114=180

Solve

6x=66

x=11

Therefore, our value of x is 11 and the angle YXZ is 55 degrees.

Answer:

add 12.18 to both sides and the divide by 2.14 on both sides until its x equal whatever you get

Answer:

4 1/2

Step-by-step explanation:

[tex]12*\frac{3}{8} \\=3*\frac{3}{2} \\=9/2= 4 \frac{1}{2}[/tex]

Answer:

I think it's a Box Plot, hope this helps

Answer:

f(2r) 6r - 5

Step-by-step explanation:

Substitute x = 2r into f(x) , that is

f(2r) = 3(2r) - 5 = 6r - 5

Answer:

B. a×1

Step-by-step explanation:

This is because a×1 gives a result of a thus,a multiplying the identity element of multiplication

The residual of a regression is the difference between the actual value and the predicted value

The values of (a) and (b) are -0.4 and 0, respectively.

The entries are given as:

x  Given  Predicted    Residual

1    -0.7         -0.6             -1

2   2.3         1.95            0.35

3   4.1           4.5              a

4   7.2          7.2              b

The residual of a line of best fit is calculated using:

[tex]Residual = Actual - Predicted[/tex]

Using the entry headings, the formula would be:

[tex]Residual = Given - Predicted[/tex]

To calculate the value of (a), we make use of entry (3).

So, we have:

[tex]a = 4.1- 4.5[/tex]

[tex]a = -0.4[/tex]

To calculate the value of (b), we make use of entry (4).

So, we have:

[tex]b = 7.2- 7.2[/tex]

[tex]b = 0[/tex]

Hence, the values of (a) and (b) are -0.4 and 0, respectively.

Read more about residuals at:

https://brainly.com/question/4333650

5(x-4) + ? = 12x - 21

5x - 20 + ? = 12x - 21

? = 7x -1  

ok done. Thank to me :>

hmmm, between the three options I would go with the second one since the number of 1-foot cubes equals exactly the volume of the fish tank.

But to truly calculate the volume

5 x 3 = 15

15 x 3 = 45

45 is the volume of the fish tank

Answer:

-2/3 is the correct answer

Step-by-step explanation:

hope this helps

Answer:

Number 2 is the answer.

Step-by-step explanation:

Rise/run

and the line is going down.

Answer:

C

Step-by-step explanation:

If you take 4% away from 350,000, it equals 336000. Divide this number by 350000, and you get 96%, which makes sense. But, if you take 4% away from 336000, it equals 322560. If you take 322560 divided by 350000, it equals 92.16%. This proves it is not linear, because if it was linear, the ending percentage would be exactly 92% since you took away 4% twice.

Answer:

dont mind me just grinding for points

Step-by-step explanation:

[tex]\huge \bf༆ Answer ༄[/tex]

The equivalent expressions are ~

9 5×

45×

The value of "m' that makes the expression equivalent is 0.2584

Given the expression 12 (–1.4m + 0.4) = m + 0.2

We need to solve for the value of m from the expression.

Expand using the distributive law:

12(-1.4m) + 12(0.4) = m +  0.2

16.8m + 4.8 = m + 0.2

Collect the like terms:

-16.8m - m = 0.2 - 4.8

-17.8m = -4.6

m = 4.6/17.8

m = 0.2584

Hence the value of "m' that makes the expression equivalent is 0.2584

Learn more on expressions here: https://brainly.com/question/22048677

Answer:

4.2 in

Step-by-step explanation:

90÷3.6 = 25

The plot of land is 25 times bigger than the map's scale. You have to divide 105 by 25 to get the same scale as the length (3.6 in.)

105÷25 = 4.2

Please give brainliest if that helped at all!

Answer:

Equation form = x = 1, y = -3

Step-by-step explanation:

Point form = (1,-3)

Answer:10/9 if I am wrong I am sorry

Step-by-step explanation:

Answer:

[tex]\frac{100}{9}[/tex]

Step-by-step explanation:

Hey there! I'm happy to help!

Since we are using graphs, we will do not need to algebraically solve this system of equations.

When you graph a system of equations, the solution is always the point at which the two lines intersect.

Here is our system of equations graphed. We see that the lines intersect at about (1 1/3, 2 1/3). Therefore, the correct answer is C. x=1 1/3, y=2 1/3

Have a wonderful day! :D

Answer:

I think it is 500

Step-by-step explanation:

5000 / 10 = 500

One theme of the poem Dream variations is the desire to live freely and expressively (option A).

In poems and other literary texts, themes are deep ideas about life that are indirectly expressed by the author. In the case of the poem "Dream variations", the author Langhtons Hughes refers to life and death.

About life, Hughes expresses the importance of living life at its fullest before death occurs. This desire to live freely and expressively is shown in verses such as:

         In the face of the sun"

or in

Learn more about poem in: https://brainly.com/question/9527212

Answer:

Step-by-step explanation:

I took the quiz :)

Answer:

$190

Step-by-step explanation:

he spent 3/7·(280), or $120 on a present

he spent 1/4·(280), or $70 on a meal

he spent $190 altogether

Answer

20%

Step-by-step explanation:

10.00 is the start wage, 12.00 is the new wage

going from 10 to 12 dollars is a 2 dollar increase

2 dollars is 20% of her original salary, so she is now making 120% of what she previosuly made which is a 20% increase