All categories

2 years ago

If ce = 7x+4, find the value of x

Mathematics

2 answers:

Alex787 [66]2 years ago

7 0

Hey there,

To find the value of x we can take the two, CD or DE and set them equal to CE.

First step is set the lines equal to each other:

x + 3 + 8x - 9 = 7x + 4

Now we combine like terms:

9x - 6 = 7x + 4

Then we subtract 7x from both sides:

2x - 6 = 4

Add 6 to both sides:

2x = 10

Lastly we divide both sides by 2:

x = 5

So the value of x would have to be 5.

Hope I helped,

Amna

garik1379 [7]2 years ago

3 0

Answer:

x = 5

Step-by-step explanation:

CE is the whole line, so that means we are going to set the other two lengths equal to it; CE = CD + DE or 7x+4 = (x+3) + (8x-9)

The first thing we are going to do is combine like-terms;

7x+4 = (x+8x) + (3-9)

Now we have;

7x+4 = 9x-6

From here you isolate x by putting all x-values on one side;

10=2x

Now simplify;

5=x

You might be interested in

Interest centers around the life of an electronic component. Suppose it is known that the probability that the component survive

astraxan [27]

Answer:

a) The probability that the life of the component is less than or equal to 6000 hours is 58%

b) The probability that the life is greater than 4000 hours is 96%

Step-by-step explanation:

Let's define the variable time as $t$ , which is measured in hours. Then, according to the problem:

The probability that the component survives for more than 6000 hours is 0.42 $\rightarrow P(t> 6000) = 0.42$
The probability that the component survives no longer than 4000 hours is 0.04 $\rightarrow P(t\leq 4000) =0.04$

a) The probability that the life of the component is less than or equal to 6000 needs to be equal to $1-P(t>6000)$ .

To see this, think of a full set, whose elements can be separate in two categories, the ones that survive more than 6000 hours (let's call them A and number of elements of this type Na) and the ones that survive less than or equal to 6000 (let's call them B and number of elements of this type Nb). Thus, the total number of elements can be calculate as $Na+Nb$ , which represents the unit.

If you want to calculate the proportion of elements of type A, you need to divide the number of element of type A over the total number of elements, which is $P(A) = Na/(Na+Nb)$ . And the same analysis applies to the proportion of elements of type B: $P(B) = Nb/(Na+Nb)$ . Hence, it is easy to see:

$P(A)+P(B) = \frac{Na}{Na+Nb} + \frac{Nb}{Na+Nb} = 1$

of course this only applies when the elements can be only categorized as one type or the other, which is call in probability, mutually exclusive events.

Using this for:

a) $P(t\leq 6000 )=1-P(t>6000) = 1 - 0.42 =0.58\\P(t\leq 6000 )=58\%$

b) $P(t> 4000 )=1-P(t\leq 4000) = 1 - 0.04 =0.96\\P(t> 4000 )=96\%$

3 0

2 years ago

A soft drink has a diameter of 6 cm and a height of 11.5 cm. What is the surface area?

DIA [1.3K]

273.32 is the surface area. Hope this helps!

6 0

1 year ago

Dan is watching The Birds in his backyard. Of the birds he watches, 9. Of them,or 45%, are sparrows. How many birds are in his b

ra1l [238]

If 9 of the sparrows is 45% of the birds in the backyard, 9/x = 45/100.

Cross multiply to get 9 * 100 = 45x; simplified is 900 = 45x or 20.

This means that there are 20 birds in the backyard. You can check this by dividing 9/20 which equals 45%

5 0

1 year ago

James has established the following monthly budget for himself: Rent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

8090 [49]

Answer:

James's monthly income is $1250.

Step-by-step explanation:

If the budget accounts for James's entire monthly income, the sum of the cost of all the items on the budget is his total monthly income.

Income = 300 + 175 + 125 + 200 + 250 + 50 + 25 + 125 = $1250

6 0

1 year ago

Read 2 more answers

To control pollination, pollen-producing flowers are often removed from the top of corn in a process called detasseling. The hou

____ [38]

Answer: <u>Last option</u>

$Z_ {13} = 0.5,\ Z_ {17} = 2.5$

Step-by-step explanation:

The z-scores give us information about how many standard deviations from the mean the data are. This difference can be negative, if the data are n deviations to the left of the mean, or it can be positive if the data are n deviations to the right of the mean.

To calculate the Z scores, we calculate the difference between the value of the data and the mean and then divide this difference by the standard deviation.

$Z = \frac{x- \mu}{\sigma}$ .