which expression is the simplest form of 5(x-3)-3(2x+4)/9?

Answer: f(-3a-2)=-9a+13

Step-by-step explanation:

To find f(-3a-2), we plug in -3a-2 into f(x).

f(-3a-2)=3(-3a-2)+19              [distribute]

f(-3a-2)=-9a-6+19                  [combine like terms]

f(-3a-2)=-9a+13

Now, we know that f(-3a-2)=-9a+13.

Given :

P( X = 70 ) = 0.62 .

P( X = 80 ) = 0.23 .

To Find :

We need to find If a person reaches their 70th birthday, what is the probability that they will live to age 80 .

Solution :

We need to find :

[tex]P(X=70 | X=80 )[/tex]

We know ,

[tex]P(x,y ) = \dfrac{P(x)}{P(y)}[/tex]

So ,

[tex]P(X=70 | X=80 )=\dfrac{P(X=80)}{P(X=70)}\\\\=\dfrac{0.62}{0.23}=0.371[/tex]

Hence , this is the required solution .

Given:

Time = 4 hours

Distance = 240 miles

To find:

The speed or the rate mile per hour for Mrs. Rice's drive.

Solution:

We know that,

[tex]Speed =\dfrac{Distance}{Time}[/tex]

On substituting the given values, we get

[tex]Speed =\dfrac{240}{4}[/tex]

[tex]Speed =60[/tex]

Therefore, the speed or rate is 60 mile per hour for Mrs. Rice's drive.

Answer:

x = 16.957

Step-by-step explanation:

(3/5)x - 6 = (-1/6)x + 7

Add (1/6)x to both sides. Add 6 to both sides.

(3/5)x + (1/6)x = 7 + 6

(18/30)x + (5/30)x = 13

(23/30)x = 13

Multiply both sides by 30/23.

x = 13/1 * 30/23

x = 390/13

x = 16.957

Answer:

6

Step-by-step explanation:

10

-6

=6

Adding a negative number is simply subtraction.

10-4=6

Answer:

y < -4/3 or y > 4/3

Step-by-step explanation:

Answer:

actually a 56 pound bag cost =9

so one pound bag cost =9/56=0.16 cents

Step-by-step explanation:

Answer:

x=bc-35 over 90

Step-by-step explanation:

Answer:

18 tiles

Step-by-step explanation:

If she wants to find the greatest number of tiles for each row, she will want to use up all the tiles. This means we are looking for the highest common factor between the numbers 90 and 72, so all the tiles can be used up in the rows. In order to find the highest common factor we multiply together all the common prime factors between the two:

90 has the prime factors 2x3x3x5

72 has the prime factors 2x2x2x3x3

The prime factors that are common to both are 2, 3 and 3 which multiply together to get:

2x3x3 = 18

The greatest number of tiles Martha can use for each row is 18 and would result in 5 rows of red tiles and 4 rows of yellow tiles.

Hope this helped!

Answer:

  D.  BC ≅ EF

Step-by-step explanation:

ASA means you're trying to show congruence by showing two angles A..A and the segment between them ..S.. are congruent. The figure shows two congruent angles. What remains is to show the segments between are congruent.

__

In ∆ABC, the marked angles are B and C, so the segment between them is BC.

In ∆DEF, the marked angles are E and F, so the segment between them is EF.

These are the segments that need to be shown congruent if you're using ASA.

  BC ≅ EF

Huh?? Can u attach a picture or some

Answer:

y = 40

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

y+10 + 2y +50 = 180

3y+60 = 180

Subtract 60 from each side

3y+60-60 = 180-60

3y = 120

Divide each side by 3

3y/3 = 120/3

y = 40

Answer:

X=-4, Y=22, idk about the CBD

Step-by-step explanation:

4y+2=90 degrees

subtract 2 on both sides you would get

4y=88 divide 4 with 88 and get 22

solve both X's so 5x+6=3x-2

i would subtract 3x first so i can get

2x+6=-2

then subtract 6 on both sides so you would have

2x=-8 divide -8 with 2 and get -4  

Answer:

Non-colinear means that three given points do not have a single line connecting all 3 of the points.

Answer:

2419.0265 meters

Step-by-step explanation:

To find the answer you must first find the circumference of the circle. The circumference formula is C = 2 \pi r. So if you plug in 77 you get 483.8053. Then multiply that by 5 and you will have your final answer.

Answer:

i think id say it is 10.5 i might be wrong though

Step-by-step explanation:

Answer:

14 lemonade serving

Step-by-step explanation:

1½+3=4½

In 4 liters we get 12 ⅓serving of lemonade

In ½ we get 1 serving of lemonade from the ½ we remain with to ⅙liters so we still add that as a serving

Total =12+1+1=14

Answer:

C. Favorite baby name is a qualitative variable. Its values are not numerical.

Color of car is a qualitative variable. Its values are not numerical.

Storage space on a computer drive is a quantitative variable. Its values are numerical.

Electrical current is a quantitative variable. Its values are numerical.

Step-by-step explanation:

A qualitative variable is a variable that is categorical and isn't numerical.

For example, your favourite baby names and colours are categorical, they cannot be measured on a numerical scale

Quantitative Variable are  variables that can be measured on a numeric scale.  Ordinal, interval and ratio scales are quantitative scales.

Storage space can be measured on a numeric scale e.g. the storage space has 400 GB

Electric current can be measured on a numeric scale e.g. eclectic current is 50 volts

Answer: Polygon Q's area is 1/4 of Polygon P's area

======================================================

Explanation:

Imagine we had a square with side length 8. The area of this square is 8*8 = 64.

Now let's reduce each side of the square by the scale factor 1/2. So each new side is 8*(1/2) = 4. The area of this smaller square is 4*4 = 16.

Comparing the new area (16) to the old one (64), we see that the new area is 16/64 = 1/4 of the old area.

In other words,

new smaller area = (1/4)*(old larger area)

So this is one example to see why (1/2)*(1/2) = 1/4 is the area scale factor based on the linear scale factor of 1/2. In short, (1/2)^2 = 1/4. Whatever the original scale factor is, square it and you'll get the area scale factor.

Answer:

The answer to your question is 192 pretzels

Step-by-step explanation:

Data

number of pieces = 8

length of each piece = 2 ft

length of each pretzel = 1 in

number of pretzels = x

Process

1.- Convert ft to in

                        1 ft --------------- 12 in

                         2 ft --------------- x

                         x = (2 x 12) / 1

                         x = 24 ft

2.- Divide the length of each piece by the length of each pretzel

                       24/1 = 24 pretzels per piece

3.- Multiply the number of pretzels per the number of pieces

                       24 x 8 = 192 pretzels

Let's consider the standard and usually used value of irrational numbers given in the question.

So, let's see the options:

A) GiveN:

[tex] \dfrac{\pi}{2} + \pi[/tex]

Let consider π = 3.14

[tex] \dfrac{3.14}{2} + 3.14[/tex]

[tex]1.57 + 3.14[/tex]

[tex]4.71 \: (approx.)[/tex]

B) GiveN:

[tex]2\pi - 1[/tex]

Here also, let's consider the value be 3.14

[tex]2 \times 3.14 - 1[/tex]

[tex]6.28 - 1[/tex]

[tex]5.28 \: (approx.)[/tex]

C) GiveN:

[tex]4 \sqrt{2} [/tex]

Let's consider the value of √2 be 1.414

[tex]4 \times 1.414[/tex]

[tex]5.6516 \: (approx.)[/tex]

D) GiveN:

[tex]8 - \sqrt{3} [/tex]

Let's consider the value of √3 be 1.732

[tex]8 - 1.732[/tex]

[tex]6.268 \: (approx.)[/tex]

So, we can see that we have got the approximate value of all the numericals, and the closest to 5.66 is 5.6516 which is the answer of Option C.

So, Correct answer is C

#CarryOnLearning

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Hey there!

ANSWER: [tex]4.5 \text { and }1800[/tex]

5% of what is 90?

If you want to find 5% of what is 90, you can try doing 90/5%.

[tex]90/5[/tex]%[tex]=1800(ANSWER)[/tex]

To get the decimal form, you can do 90*5%.

[tex]90*5[/tex]%[tex]=4.5(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

50 seconds per minute

The rate of entering customers per minute, if 4 customers entered a store over the course of 6 minutes, is 2 / 3.

It is the basic arithmetic operation, in which you are separating the number into some parts. One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.

Given:

4 customers entered a store over the course of 6 minutes,

Calculate the rate of entering customers per minute as shown below,

The rate of entering customers per minute = total number of customer / total time

The rate of entering customers per minute = 4 / 6

The rate of entering customers per minute = 2 / 3

Thus, the rate of entering is 2 / 3.

To know more about division:

https://brainly.com/question/27566440

#SPJ5

Answer:

The first angle is [tex]70^{o}[/tex].

Step-by-step explanation:

Let the measure of the second angle be represented by [tex]x^{o}[/tex].

Thus, the first angle = [tex](3x+10)^{o}[/tex]

Third angle = [tex]90^{o}[/tex]

Sum of angles in a triangle = [tex]180^{o}[/tex]

So that;

[tex]x^{o}[/tex] + [tex](3x+10)^{o}[/tex] + 90 = [tex]180^{o}[/tex]

[tex]x^{o}[/tex] + [tex]3x^{o}[/tex] + [tex]100^{o}[/tex] = [tex]180^{o}[/tex]

[tex]4x^{o}[/tex] = [tex]180^{o}[/tex] - [tex]100^{o}[/tex]

[tex]4x^{o}[/tex] = [tex]80^{o}[/tex]

divide both sides by 4 to have;

[tex]x^{o}[/tex] = [tex]20^{o}[/tex]

The first angle = [tex](3x+10)^{o}[/tex]

                        = ( 3 x 20 + 10)

                        = 60 + 10

                        = [tex]70^{o}[/tex]

Therefore, the first angle is [tex]70^{o}[/tex].

Answer:

you can say how u shop a discount stores like shein and shop for clearance. You can also say that u used to spend money to keep up with the trends but u realized u needed the money for other important things, so u stopped

Step-by-step explanation:

Answer:

179, 180, 181

Step-by-step explanation:

a +a +1 +a +2 =540

3a +3 =540

3a =540 - 3

3a=537

a=537 :3

a=179 (the first number

b=179 +1 =180 (the second number

c=179 +2 =181 (the third number

Answer:

It looks like this question is not solvable. So, if this is absolutely correct, write "no solution".

Step-by-step explanation:

Below is the first step to attempt solving the equation.

The little twos at the top of each number are called exponents. This means a number times itself.

So,

537*537=288,369

15.9*15.9=252.81

74*74=5476

Now, take the 288,369*252.81 to get a total of 72,902,566.89 .

Since this answer is (obviously) not equal to the 5476 on the other side, the two are not equal.

Here's how you'd work it out on paper to show it isn't solvable.

(537*537)*(15.9*15.9)= (74*74)

(288,369)*(252.81)= 5476

72,902,566.89 ≠5476

So the answer would be:

Not solvable.

Answer:

B. [tex] -\frac{3}{2} [/tex]

Step-by-step explanation:

Rate of change/slope is given as [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Use the coordinate pairs of any two points on the slope/line.

Let's use the following coordinates pairs:

[tex] (-2, 4) = (x_1, y_1) [/tex]

[tex] (0, 1) = (x_2, y_2)

Plug in the values into the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]:

[tex] m = \frac{1 - 4}{0 - (-2)} [/tex]

[tex] m = \frac{-3}{0 + 2} [/tex]

[tex] m = \frac{-3}{2} [/tex]

[tex] m = -\frac{3}{2} [/tex]

Answer:

LM is 8

Step-by-step explanation:

LM --> (2x-16)+(x-9) =11

Solve for x

Plug in this value for LM equation to solve for LM:

LM is 8

Answer:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.

Step-by-step explanation:

Answer:

(3z + 1)(3z + 4)

Step-by-step explanation:

[tex]9 {z}^{2} + 15z + 4 \\ = 9 {z}^{2} + 3z + 12z+ 4 \\ = 3z(3z + 1) + 4(3z + 1) \\ = (3z + 1)(3z + 4)[/tex]