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2 years ago

How do you represent,describe, and compare additive and multiplicative relationships?

1 answer:

5 0

Additive relationships
(a+b)+c=a+(b+c) associative property of addition
a+b=b+a

multiplacive relations
a(b+c)=ab+ac distributive property of multiplication
a times 1=a identity property of 1
a times 0=0
(a*b)*c=a*(b*c)

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Someone please help:)

iogann1982 [59]

Answer:

2. Addition property of inequality. You're adding 6x to both sides.

3. 4x = 28

4. 4x/4 = 28/4 Justification: Division property of inequality

You're dividing both sides by 4.

5. x = 7

Hope that helps.

4 0

2 years ago

The sum of the ages of three brothers Tema,Juma and Abdul is 65 years. Juma is twice as old as Abdul and a half times as old as

Ber [7]

Answer:

Tema = 26 years

Juma = 13 years

Abdul = 26 years

Step-by-step explanation:

Let their ages be represented as:

Tema = x

Juma = y

Abdul = z

From the question, we are told that:

Juma is twice as old as Abdul

y = 2z

z = y/2

= 0.5y

And Juma is a half times as old as Tema.

y = 1/2x

y = 0.5x

x = y/0.5

x = 2y

Hence,

x + y + z = 65

2y + y + 2y = 65

= 5y = 65

y = 65/5

y = 13 years

Since y = Zuma's age, Zuma is 13 years old

From the above question

Since 2y = z

y = 13

2 × 13 = z

z = 26

Since z = Abdul's age, Abdul is 26 years old

From the above question

x = 2y

y = 13 years

x = 2 × 13 years

x = 26 years.

Since x = Tema's age

Tema is 26 years.

Therefore, their present ages are:

Tema = 26 years

Juma = 13 years

Abdul = 26 years

7 0

2 years ago

Four gallons of paint are used to paint 25 chairs. If each chair used the same amount of paint, how many gallons are used to pai

ella [17]

You have to do 25 divided by 4, which is 6.35.

5 0

3 years ago

Read 2 more answers

A Fahrenheit thermometer shows that the temperature is 22 degrees below zero.

Shtirlitz [24]

no one said it is not true or false and it doesn’t look good for the people

3 0

3 years ago

2. The Welcher Adult Intelligence Test Scale is composed of a number of subtests. On one subtest, the raw scores have a mean of

IgorC [24]

Answer:

a) 37.31 b) 42.70 c) 0.57 d) 0.09

Step-by-step explaanation:

We are regarding a normal distribution with a mean of 35 and a standard deviation of 6, i.e., $\mu$ = 35 and $\sigma$ = 6. We know that the probability density function for a normal distribution with a mean of $\mu$ and a standard deviation of $\sigma$ is given by

$f(x) = \frac{1}{\sqrt{2\pi}\sigma}\exp[-\frac{(x-\mu)^{2}}{2\sigma^{2}}]$

in this case we have

$f(x) = \frac{1}{\sqrt{2\pi}6}\exp[-\frac{(x-35)^{2}}{2(6^{2})}]$

Let $X$ be the random variable that represents a row score, we find the values we are seeking in the following way

a) we are looking for a number $x_{0}$ such that

$P(X\leq x_{0})$ = $\int\limits^{x_{0}}_{-\infty} {f(x)} \, dx = 0.65$ , this number is $x_{0}$ =37.31

you can find this answer using the R statistical programming languange and the instruction qnorm(0.65, mean = 35, sd = 6)

b) we are looking for a number $x_{1}$ such that

$P(X\leq x_{1})$ = $\int\limits^{x_{1}}_{-\infty} {f(x)} \, dx = 0.9$ , this number is $x_{1}$ =42.70

you can find this answer using the R statistical programming languange and the instruction qnorm(0.9, mean = 35, sd = 6)

c) we find this probability as

$P(28\leq X\leq 38)$ = $\int\limits^{38}_{28} {f(x)} \, dx = 0.57$

you can find this answer using the R statistical programming languange and the instruction pnorm(38, mean = 35, sd = 6) -pnorm(28, mean = 35, sd = 6)

d) we find this probability as

$P(41\leq X\leq 44)$ = $\int\limits^{44}_{41} {f(x)} \, dx = 0.09$

you can find this answer using the R statistical programming languange and the instruction pnorm(44, mean = 35, sd = 6) -pnorm(41, mean = 35, sd = 6)

6 0

3 years ago

Read 2 more answers