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2 years ago

1.5x + 12 = 0.5(5x - 8) a. 1 b. 2 c. 16 d. 20

Mathematics

2 answers:

Alenkasestr [34]2 years ago

7 0

Answer:

x=16

Step-by-step explanation:

First of all we want to distribute 0.5 on 5x and -8

so we are going to divide by 2

1.5x + 12 = 2.5x -4

now we want to put the variables on one side and the numbers on the other side of the equal sign

and to

1.5x +12 = 2.5x -4

-12 -12

1.5x = 2.5x - 16

now we want to move the variable that is on the right to the left side

1.5x = 2.5x - 16

-2.5x -2.5x

-x = -16

change the signs and the answer is

x=16

EXTRA STEP 

you have to make sure that your answer is correct so just plug in x and the answers on both sides of the equation must be equal

ioda2 years ago

3 0

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x=16

Step-by-step explanation:

its C

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6th grade math please help

Sholpan [36]

Answer: 9x-3x and 5x+x

Step-by-step explanation:

1. Brianna's thinking is incorrect because of course, when x is 0, the expression will equal whatever value isn't an x term. To find equivalent expression, you actually need to find which expressions have the same amount of x terms and the same value.

2. Expressions A and C are equivalent.

3. Expression A can be simplified, as you can do 9x - 3x = 6x, so your final expression would be 6x - 4. Expression C can also be simplified with 5x + x = 6x, which can then also be written as 6x - 4. This means both expressions have the same amount of x terms, and the same value, so they are equivalent.

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2 years ago

Read 2 more answers

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is

lidiya [134]

Answer:

The value of t test statistics is -2.25.

Step-by-step explanation:

We are given that a manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is believed that the machine is under filling the bags.

A 25 bag sample had a mean of 393 grams with a standard deviation of 20.

Let $\mu$ = mean filling of bags by the machine.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 402 gram {means that the the machine is not under filling the bags}

Alternate Hypothesis, $H_A$ : $\mu$ < 402 gram {means that the the machine is under filling the bags}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean bag filling = 393 grams

s = sample standard deviation = 20 grams

n = sample of bags = 25

So, test statistics = $\frac{393-402}{\frac{20}{\sqrt{25} } }$ ~ $t_2_4$

= -2.25

The value of t test statistics is -2.25.

5 0

3 years ago

The double number line shows the price of

Alex777 [14]

Answer:

According to the first image, 1 cupcake costs $1.5.

So, we can use the rule of three to complete the table.

If 1 cupcake costs $1.5, 5 cupcakes would be $1.5(5)=$7.50

And 18 cupcakes would be $1.5(18)=$27.

However, $18 how many cupcakes represent?

$\frac{18}{1.5}=12$

Therefore, 12 cupcakes costs $18.

So, the table would be:

Cupcakes Prices

5 $7.50

12 $18

18 $27

8 0

3 years ago

) a) Liaqat gave his uncle a puzzle. "five times my age plus 10 years makes 70 years." How old is Liaquat? b) His uncle replied,

Kamila [148]

Answer:

a. 12 years

b. 30 years

Step-by-step explanation:

a) Assume Liaqat's age is x. His age would be:

5x + 10 = 70

5x = 70- 10

x = (70 - 10) / 5

x = 12

Liaqat is 12 years old.

b. Assume his uncle's age is y;

4y - 10 = 130

4y = 130 - 10

y = (130 - 10) / 4

y = 30

Liaqat's uncle is 30 years old.

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3 years ago

explain how to use missing pieces strategy to compare two fractions. include a diagram with your explanation

Artemon [7]

The missing pieces strategy is another method to compare two fractions. To tell which number is larger, you ned to see which one is missing less. For example you have ¾ versus 4/5. Each of these fraction needs 1 to complete the whole. You need to subtract the numerator with one to compare them. For ¾ we have ¼ and for 4/5 we have 1/5. You know that if you complete 4/5 you will get 5 and for ¾ you will get 4. You know that 5 is greater than four. Therefore, 4/5 is larger than ¾.

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3 years ago