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

While driving home for the holidays, you can’t seem to get Little’s Law out of your mind. You note that your average speed of tr

suter [353]

Answer:

1,200 cars per hour

Step-by-step explanation:

Let's suppose the car flow is constant and based on the observations stated in the problem.

If we set and imaginary car counter where your car is, then there are 25 cars in ¼ of a mile (including yours) going at your same speed.

Now compute how long it will take to travel ¼ mile. As your speed is constant 60 mph, we can cross multiply

60 miles -----------> 1 hour

¼ of a mile --------> x hours

and

60/ (¼) = 1/x ---------> x = 1/240 hours.

This means that in 1/240 hours the 25 cars will be passing the counter.

Now compute how many cars will pass through our counter in 1 hour. Again, cross multiplying

1/240 hours -------> 25 cars

1 hour --------------> x cars

and

1/240 = 25/x -------> x = 25*240 = 1,200 cars.

So, the flow rate of the highway (going in your direction) in cars per hour is 1,200 cars per hour.

7 0

2 years ago

Keisha makes a large sandwich for a family picnic.She takes 1/2 of the sandwich to the picnic.At the picnic,her family eats 3/8

insens350 [35]

Answer:

Keisha has 1/8th of the sandwich that she brings back.

Step-by-step explanation:

To start, take a whole sandwich and subtract the 1/2 she left at home and the 3/8 that her family ate.

1 - 1/2 - 3/8 = Leftover

We also need to give them common denominators to complete the action.

8/8 - 4/8 - 3/8 = Leftover

1/8 = Leftover

3 0

2 years ago

You and three friends own a paint shop. The shop's profit was $536 in the first month. You always divide the profits equally. In

alexandr1967 [171]

C. $360

$224x4=896 (total profit)

$896 (total) - $536 (first month profit) = $360 (second month profit)

4 0

2 years ago

Read 2 more answers

if 1000 spherical of radius 1 cm are melted to form a bigger bulb. Then find the radius of bigger bulb

never [62]

Answer:

10 cm

Step-by-step explanation:

Given:

No. of small spherical bulb = 1,000

radius (r) of smaller bulbs = 1 cm

Required:

radius of the bigger bulb

SOLUTION:

The following equation represents the relationship of the volume of the smaller and bigger bulb,

$\frac{V_2}{V_1} = 1,000$

Where,

$V_2$ = volume of bigger bulb

$V_1$ = volume of smaller bulb

1,000 is the number of smaller bulbs melted to form the bigger bulb.

Volume of a sphere is given as, ⁴/3πr³

Therefore:

$V_2$ = ⁴/3*π*r³ = 4πr³/3

$V_1$ = ⁴/3*πr³ = ⁴/3*π*(1)³ = ⁴/3π*1 = 4π/3

Plug the above values into the equation below:

$\frac{V_2}{V_1} = 1,000$

$\frac{\frac{4*pie*r^3}{3}}{\frac{4*pie}{3}} = 1,000$

$\frac{4*pie*r^3}{3}*{\frac{3}{4*pie} = 1,000$

$\frac{4*pie*r^3*3}{3*4*pie} = 1,000$

$\frac{12*pie*r^3}{12*pie} = 1,000$

$r^3 = 1,000$ (12pie cancels 12 pie)

$r = 10$ (taking the cube root of each side)

Radius of the bigger bulb = 10 cm

3 0

2 years ago

One hundred teachers attended a seminar on mathematical problem solving. The attitudes of representative sample of 12 of the tea

andrew11 [14]

Answer:

a) 1.92

b) 3.25

c) 1.5

d) -5.23

Step-by-step explanation:

We are given the following in the question:

4, 7, -1, 1, 0, 5, -2, 2, -1, 6, 5, -3

a) mean of score change

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{23}{12} = 1.92$

b) standard deviation for this population

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

Sum of squares of differences = 126.92

$\sigma = \sqrt{\frac{126.92}{12}} = 3.25$

c) median change score

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

Sorted data: -3, -2, -1, -1, 0, 1, 2, 4, 5, 5, 6, 7

Median =

$\dfrac{6^{th} + 7^{th}}{2} = \dfrac{1+2}{2} = 1.5$

d) change score that is 2.2 standard deviations below the mean.

$x = \mu - 2.2(\sigma)\\x = 1.92-2.2(3.25)\\x = -5.23$

4 0

2 years ago