Equivalent Expressions

Warm-Up

Active

Evaluating an Expression

Complete the statements.

Evaluate (15 - 4x) + 5 when x = 3.

Substitute the given value for the

Evaluate within

parentheses.

to simplify.

Use the

inside the

Evaluate exponents.

First, complete the

parentheses.

Next, complete the

parentheses.

Last, complete the addition.

inside the

Multiply and divide

from left to right.

The value is

Add and subtract

from left to right.

Answer:

Proper and Improper Fractions. Mathematicians use three categories to describe fractions: proper, improper, and mixed. Fractions that are greater than 0 but less than 1 are called proper fractions. In proper fractions, the numerator is less than the denominator.

Step-by-step explanation:

Answer:

303.75

Step-by-step explanation:

135/20=6.75

6.75•45= 303.75

Answer:

35

Step-by-step explanation:

Answer:

-35 meters

Step-by-step explanation:

He's below sea level, basically saying below 0= sea level.

Then it's basically saying -172+ 137 meters because the shark is going upwards 137 meters, which makes 137 positive. Dude, remember, up is positive and down is negative. So the answer to this problem would be -35 meters because of -172+137=-35. Hope this helped you.

Answer:

3 1/4

Step-by-step explanation:

Answer:

3/1/4

Step-by-step explanation:

Please Mark Brainliest!! Hope this helped!!

Answer:

it is right triangle so we have trigonometric ratio: tan(54)=3/x and from that we have x=3/tan(54)

Answer:

The probability is [tex]P(S | (O ,U)' ) = 0.05[/tex]

Step-by-step explanation:

From the question we are told that

  The probability of each company to be chosen is

            Supplier               G           J           S           O             U

            Probability           0.15     0.04     0.01       0.55       0.25

Generally the probability that company  G , J  ,  S are chosen is  

       [tex]P(G , J , S ) = 0.15 + 0.04 + 0.01[/tex]

=>    [tex]P(G , J , S ) = 0.20[/tex]

Generally the probability that company  O, U are chosen is  

      [tex]P(O, U ) = 0.55+ 0.25[/tex]

=>   [tex]P(O, U ) = 0.80[/tex]

Generally  the probability that supplier S will be chosen given that suppliers O and U are both ultimately not chosen is mathematically represented as

     [tex]P(S | (O ,U)' ) = \frac{ P(S \ n \ (O , U)' )}{ P((O, U)')}[/tex]

    [tex]P((O, U)' = 1 - P(O , U)[/tex]    

    [tex]P((O, U)' = 1 - 0.8[/tex]    

   [tex]P((O, U)' =0.2[/tex]

And  

     [tex]P(S \ n \ (O , U)' ) = P(S) = 0.01[/tex]

=>   [tex]P(S | (O ,U)' ) = \frac{ 0.01 }{ 0.2}[/tex]

=>   [tex]P(S | (O ,U)' ) = 0.05[/tex]

Answer:

Quantitative Discrete

Step-by-step explanation:

The data about the average salary of all general motor workers cooled ONLY as WHOLE U. S DOLLARS

Firstly, data involving worker's salary are best expressed in figure, hence making such data numerical in nature. Numerical variables are quantitative data as it allows for numerical computation and analysis such as addition, subtraction, mean of the data values and so on.

Secondly, since these data has been strictly restricted to be expressed in whole numbers, this makes the range of the data collected finite and hence countable. This properties ensure that the quantitative data (average salary) is discrete in nature.

Answer:

8212.67

Step-by-step explanation:

From the data given in the question;

Amount = 15000

Principal = ?

rate = 8.25%

time = 10 years

From;

A =P(1 + r)^n

15000 = P(1 + 0.0825)^10

P= 15000/2.21

P= 6787.33

but

Interest = Amount - Principal

Interest = 15000 - 6787.33

interest = 8212.67

Answer:

a) Entonces, habrá una población de [tex]1.329\times 10^{36}[/tex] bacterias a las dos horas.

b) La población de bacterias será de 33554432 en 25 minutos.

Step-by-step explanation:

a) De acuerdo con el enunciado, podemos apreciar una progresión geométrica, la cual está definida como:

[tex]n = n_{o}\cdot r^{t}[/tex] (Eq. 1)

Donde:

[tex]n_{o}[/tex] - Población inicial de bacterias, adimensional.

[tex]n[/tex] - Población actual de bacterias, adimensional.

[tex]r[/tex] - Tasa de reproducción de la población, adimensional.

[tex]t[/tex] - Tiempo, medido en minutos.

Si sabemos que [tex]n_{o} = 1[/tex], [tex]r = 2[/tex] and [tex]t = 120\,min[/tex], entonces la población actual de las bacterias:

[tex]n = 1\cdot 2^{120\,min}[/tex]

[tex]n = 1.329\times 10^{36}\,bacterias[/tex]

Entonces, habrá una población de [tex]1.329\times 10^{36}[/tex] bacterias a las dos horas.

b) Si empleamos (Eq. 1) y asumimos que [tex]n_{o} = 1[/tex], [tex]r = 2[/tex] and [tex]n = 33554432[/tex], entonces despejamos [tex]t[/tex] de la fórmula resultante:

[tex]1\cdot 2^{t} = 33554432[/tex]

[tex]2^{t} = 33554432[/tex]

[tex]\log_{2} 2^{t} = \log_{2} 33554432[/tex]

[tex]t = \log_{2} 33554432[/tex]

[tex]t = 25\,min[/tex]

La población de bacterias será de 33554432 en 25 minutos.

Answer:

8^12??

Step-by-step explanation:

what is islng

Answer:

1/[tex]8^{12}[/tex]

Step-by-step explanation:

Express with a positive exponent using a [tex]^{-n}[/tex] = 1/[tex]a^{n}[/tex]

1/[tex]8^{12}[/tex]

Solution

1/[tex]8^{12}[/tex]

Alternate form

≈ 1.45519 x [tex]10^{-11}[/tex]

Answer:

no

Step-by-step explanation:

no

Answer:

no it is not

Step-by-step explanation:

Vamos escrever.

(a.b)³. b.(b.c)² =

a³.b³.b. b².c² =

a³b^6.c² ( forma simplificada)

Answer:

0.25q

Step-by-step explanation:

A cash register is a machine used in small business that sums, display and records the total amount made by each sale. A cash register also has a drawer which is used to store money.

A quarter is a coin in the United States which is 25 cents.

Converting 25 cents to dollars:

100 cents = $1

25 cents = 25 cents × $1 / 100 cent = $0.25

The total amount of money registered = number of quarters × $0.25

The total amount of money registered = q × $0.25 = 0.25q

Answer:

80%

Step-by-step explanation:

To find what percent a part is of the whole, divide the part by the whole and multiply by 100%.

part = 48

whole = 60

percent = part/whole * 100%

percent = 48/60 * 100%

percent = 80%

Answer: 80%

Amanda answered 80 % of question correctly.

Given that, Amanda correctly answered 48 of the 60 questions on a math exam.

Percent of question, she answer correctly,

                                       [tex]=\frac{48}{60}*100=\frac{8}{10}*100 =80 [/tex]

Hence, Amanda answered 80 % of question correctly.

Learn more:

https://brainly.com/question/2236179

[tex]h(x) = x + 1[/tex]

[tex]k(x) = x - 2[/tex]

_________________________________

[tex](h + k)(x) = h(x) + k(x)[/tex]

[tex](h + k)(x) = (x + 1) + (x - 2) \\ [/tex]

[tex](h + k)(x) = x + 1 + x - 2[/tex]

[tex](h + k)(x) = 2x - 1[/tex]

[tex](h + k)(2) = 2(2) - 1[/tex]

[tex](h + k)(2) = 4 - 1[/tex]

[tex](h + k)(2) = 3[/tex]

_________________________________

And we're done.....♥️♥️♥️♥️♥️

Answer:it’s 5

Step-by-step explanation:

because it is

Answer:

this would be your answer not sure if you need to round 4.085 so pretty much the answer would be 3 because you have enough for about 4 and a half

Step-by-step explanation:

Answer:

$13.845 per pizza

Step-by-step explanation:

166.14/12=13.845

Answer:

$13.845 per pizza

Step-by-step-explanation:

166.14/12=13.845

I hope this helps

x = 33°

Then :-

m∠1 = 33° ( angle x and angle 1 are corresponding angles on a transversal )

m∠1 + m∠2 = 90° ( angle 1 and angle 2 are complementary angles )

33 + ∠2 = 90

∠2 = 90 - 33

m∠2 = 57°

m∠1 + m∠3 = 180° ( angle 1 and angle 3 are a linear pair )

33 + ∠3 = 180°

∠3 = 180 - 32

m∠3 = 147°

Answer:

175

Step-by-step explanation:

Answer:

C = 2 * π * R = 2 * π * 14 = 87.9646 cm .

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

If there are 9 students total and the ratio is 2:7 for walk home to ride bus then the answer would you would divide 2 from 7 which can be written as 7/2 then you would get your answer. Plus if the question says how many times the number... that means division:).

HOPE THIS HELPS!!:)

Answer:

Step-by-step explanation:

Let the weight of mr nazeer be x

Let the weight of his son be y

If the weight of mr nazeer is 7 times that of his son, then x = 7y

To get the ratio of their weight:

Ratio = weight of father/weight of son

Ratio = 7y/y

Ratio = 7/1

Ratio = 7:1

Hence the ratio of their weights is 7:1

Answer:

C

Step-by-step explanation:

Answer:

25p+45<480

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

3x + 7x − 28 + 31 − 8x

Simplified:

  2x + 3

Value when x = 2043:

  2x + 3  

  2(2043) + 3

  4086 + 3

  = 4089

123 − 2x − 3x + 7

Simplified:

  -5x + 130

Value when x = 5:

  -5x + 130

  -5(5) + 130

  -25 + 130

  = 105

Answer:

Last option must be correct because you need to prove three things congruent to give a postulate.In which case you have two sides of each triangle that means it is incomplete.

thus last option is correct.

Answer:

15 16 and 17.

Step-by-step explanation:

Hope this helps.

Answer:

15, 16, and 17

Step-by-step explanation:

Answer:

x<10

Step-by-step explanation:

i think this is the answer

x<10 is the solution of the inequality  2x-8 <12

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 2x-8<12

Two times of x minus eight less than twelve

x is the variable

We have to find the solution of the inequality

2x<20

Divide both sides by 2

x<10

Hence, x<10 is the solution of the inequality  2x-8 <12

To learn more on Inequalities click:

https://brainly.com/question/28823603

#SPJ7

Answer:

d. The histogram would be approximately bell-shaped, and the normal quantile plot would have data points have follow a straight-line pattern.

Step-by-step explanation:

Since the variable is normally distributed, the histogram of women's height should be approximately bell shaped (if the data was obtained form a random sample).

Again, the variable is normally distributed, therefore, the quantile plot should follow a straight line pattern (a diagonal line to be more precise).

Answer:

SAS (side angle side)

Step-by-step explanation:

This rule states that if 2 sides are equal and the angle between the sides are also equal, then the 2 triangles must be congruent.

Therefore, the answer must be SAS (side angle side).

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The answer is choice A. SAS

You can see that side QR is congruent to side XY and side RS is congruent to side WX, then angle R is congruent to angle X. So it's a SAS