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4 years ago

What is the value of x? x over 4 equals 14 over 16 x =

Mathematics

2 answers:

FinnZ [79.3K]4 years ago

8 0

The answer is 3.5. use cross product multiplication

Stolb23 [73]4 years ago

4 0

So first let's set up the equation.
x/4 = 14/16
Now to find the value of x, we cross-multiply. So
x · 16 = 14 · 4
Now we get
16x = 56
To find x we need to get x by itself on one side. To do this we divide 16 on both sides of the equation
16x/16 = 56/16
Simplify and we get
x = 7/2 or 3.5
Hope I helped!

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Josie opened a retirement account with 1.99% APR in 2000. her initial deposit was $32,500. How much will the account be worth in

weeeeeb [17]

$53,567 would only really be your answer

8 0

3 years ago

Plz help ASAP!!!! PLZ

AnnyKZ [126]

To find a missing side of a right triangle use the Pythagorean theorem
A2+b2=c2
C is the hypotenuse (long side)
Plug into the equation
11^2+b2=12^2
121+b2=144
So subtract 144-121 to get the missing side you get 23
Take the square root
It will be 4.7
If they want it rounded
X=5
If I had any mistakes in my answer I am sorry but everything should be correct

3 0

3 years ago

Sally went to the clearance rack at a department store and found a shirt she wanted to buy. The shirt was $36.00 and is on sale

jeka57 [31]

Answer:

33.34%.

Step-by-step explanation:

Given that,

The actual price of the shirt = $36

Price on sale = $24

We need to find the percent of the decrease. The formula for the percentage is given by :

$\%=\dfrac{|\text{actual value-estimated value}|}{\text{actual value}}\times 100$

Putting all the values,

$\%=\dfrac{24-36}{36}\times 100\\\\=33.34\%$

So, the percentage decrease in the price of the shirt is 33.34%.

6 0

3 years ago

A computer online service charges one hourly rate for regular use but a higher hourly rate for designated "premium" areas. One c

N76 [4]

Answer: the service charge per hour for premium services is $5.5

the service charge per hour for regular services is $3

Step-by-step explanation:

Let x represent the service charge per hour for premium services.

Let y represent the service charge per hour for regular services.

One customer was charged $38 after spending 2 h in premium areas and 9 regular hours. It means that

2x + 9y = 38- - - - - - - - - - - 1

Another customer spent 3 h in premium areas and 6 regular hours and was charged $34.50. It means that

3x + 6y = 34.5- - - - - - - - - - -2

We would eliminate x by multiplying equation 1 by 3 and equation 2 by 2. It becomes

6x + 27y = 114

6x + 12y = 69

Subtracting, it becomes

15y = 45

y = 45/15

y = 3

Substituting y = 3 into equation 1, it becomes

2x + 9 × 3 = 38

2x + 27 = 38

2x = 38 - 27 = 11

x = 11/2 = 5.5

8 0

3 years ago

A motion sensor has a range of 65 meters as shown. The ultrasonic waves sweeping out from the sensor span an angle of 135°.

VMariaS [17]

The approximate area that is within range of the motion sensor is 4975 square meters

<h3>How to determine the area of the range?</h3>

The figure is not given, however the area of the range can be calculated without the figure.

The given parameters are:

Angle, ⊕ = 135°

Radius, r = 65 meters

The area of the range is calculated using the following sector area

$A = \frac{\theta}{360} * \pi r^2$

This gives

$A = \frac{135}{360} * 3.14 * 65^2$

Evaluate

A = 4974.9375

Approximate

A = 4975

Hence, the approximate area that is within range of the motion sensor is 4975 square meters