All categories

4 years ago

8 - x = 2x - 1 =

Mathematics

1 answer:

iragen [17]4 years ago

7 0

$8-x=2x-1\ \ \ \ |-8\\\\-x=2x-9\ \ \ |-2x\\\\-3x=-9\ \ \ \ |:(-3)\\\\\boxed{x=3}$

1) subtract 8 from both sides

2) subtract 2x from both sides

3) divide both sides by (-3)

You might be interested in

twelve cookies are cut from a rectangle of dough measuring 12 inches by 16 inches. How many square inches of dough are left over

valentina_108 [34]

Given:

Here twelve cookies are cut from a rectangle of dough measuring 12 inches by 16 inches.

Required:

How many square inches of dough are left over

the radius of cooke is 2 inches because if we cut cookie s in this formation and we get 4 cookies in horizontal so there are 4 diameter of each cookie and the total of these 4 diameter is 16.

So now the measure of one cookie is

$\frac{16}{4}=4\text{ inches}$

now the diameter of one cookie is 4 inches so by this we can find the radius

$\begin{gathered} r=\frac{d}{2} \\ r=\frac{4}{2}=2\text{ inches} \\ \end{gathered}$

now first we find the area of dough which isin rectangle shape

area of rectangle is

$A_1=12*16=192\text{ inches}^2$

now we have to find the area of 12 cookies

area of cookies is

$A_2=12*\pi *r^2=12*\pi *4=48\pi\text{ inches}^2$

now after cut dough for 12 cookies and the left over dough is

Final answer:

$A=A_1-A_2=192-48\pi\text{ inches}^2$

5 0

1 year ago

The variables y and x have a proportional relationship, and y = 7 when x = 2. What is the value of y when x = 5? Enter your answ

Vsevolod [243]

Answer:

17.5

Step-by-step explanation:

Given that the variables x and y have a proportional relationship.

i.e. y is directly proportional to x or can be written as

y = mx where m is the constant of proportionality.

When x =2, y =7

Substitute this to get the value of m.

7 =2m or m = 3.5

Thus the relationship between x and y is

y = 3.5x

So when x=5, y = 3.5(5) = 17.5

3 0

4 years ago

You measure 22 textbooks' weights, and find they have a mean weight of 64 ounces. Assume the population standard deviation is 5.

lara31 [8.8K]

Answer:

Step-by-step explanation:

We want to determine a 90% confidence interval for the true population mean textbook weight.

Number of sample, n = 22

Mean, u = 64 ounces

Standard deviation, s = 5.1 ounces

For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

It becomes

64 ± 1.645 × 5.1/√22

= 64 ± 1.645 × 1.087

= 64 ± 1.788

The lower end of the confidence interval is 64 - 1.788 = 62.21 ounces

The upper end of the confidence interval is 64 + 1.788 = 65.79 ounces

Therefore, with 90% confidence interval, the true population mean textbook weight is between 62.21 ounces and 65.79 ounces

3 0

3 years ago

Kelly is going to shop with the $200.00 that she earned from doing chores. She wants to save 30% of her money to put into a savi

Evgesh-ka [11]

Answer:

No she won't

Step-by-step explanation:

200(0.30)=60

60(0.06)=3.6

60+3.6=63.6

75(0.06)=4.5

75+4.5=79.5

79.5+63.6=143.1

200-143.1=56.9

56.9<60

6 0

4 years ago

Im so lost, please help me asap

almond37 [142]

Answer:

it's so simple ....

x + 141 = 135

x = 135 - 141

x = -6

it means ur answer is a

8 0

3 years ago