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3 years ago

95=-4+33x (Work Please.)

Mathematics

2 answers:

alexandr402 [8]3 years ago

6 0

Answer:

Step-by-step explanation:

$-4+33x=95\qquad\text{add 4 to both sides}\\\\-4+4+33x=95+4\\\\33x=99\qquad\text{divide both sides by 33}\\\\\dfrac{33x}{33}=\dfrac{99}{33}\\\\x=3$

Mashutka [201]3 years ago

4 0

Answer:

x = 3

Step-by-step explanation:

95 = -4 + 33x

95 +4 = 33x

99 = 33x

x = 99/33

x = 3

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Answer:

The answer is B

Step-by-step explanation:

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3 years ago

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7nadin3 [17]

Answer:

let the number of steps taken by friend 1, 2 and 3 be: x, y and z respectively

we know that the mean of the total steps taken by all the friends is 10,350

Since the formula for mean is: sum of all values / number of values

here, the total values is the total number of steps taken

So,

steps taken by friend 1 +steps taken by friend 2 +steps taken by friend 3 +steps taken by friend 4 +steps taken by friend 5 +steps taken by friend 6

all that divided by 6 will give us the mean

so, 7800 + 8000 + 9800 + x + y + z / 6

(25600 + x + y + z)/6 = 10350

25600 + x + y + z = 10350 * 6

x + y + z = 62100 - 25600

x + y + z = 36500

So since the sum of x, y and z is 36500,

we can say that the average value of x , y and z is 12167 (36500/3)

So the next thing to make an equation out of is Median

to find the median, we need to arrange the values in any order you like, i will arrange in descending order

so since the estimated value of all x , y and z is greater than the greatest known value:

x > y > z > 9800 > 8000 > 7800

Since this set of values has an even number of values, we will take the average of the middle 2 values as the median

(9800 + z)/2 = 10000

9800 + z = 20000

z = 10200 -------- we have found one of the three values! getting closer

Now, the final equation will be found from the range

since we already have sorted our data, and the difference of the highest and lowest is the range

x > y > z > 9800 > 8000 > 7800

So, x - 7800 = 7500

x = 15300 ------- now that we have x and z, we can use the first equation to find the value of y and we will be done!

x + y + z = 36500

replacing the values

15300 + y + 10200 = 62100

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3 years ago

Elena bikes 20 minutes each day for exercise. Write an equation to describe the relationship between her distance in miles, D, a

kompoz [17]

Answer:

The equation to describe the relationship between Elena distance:

a) D = 4.34 miles, b) D = 4.25 miles and c) 12D = M + 3N miles.

Solution:

Given, Elena bikes 20 minutes each day for exercise.

We have to write an equation to describe the relationship between her distance in miles, D, and her biking speed, in miles per hour,

We know that, distance travelled = speed $\times$ time

a. At a constant speed of 13 miles per hour for the entire 20 minutes

Her speed is 13 miles per hour.

Then, distance D miles = 13 miles per hour $\times$ 20 minutes

$\mathrm{D}=13 \text { miles per hour } \times \frac{20}{60} \text { hours } \rightarrow \mathrm{d}=13 \times \frac{1}{3} \rightarrow \mathrm{d}=4.34 \text { miles approximately. }$

b. At a constant speed of 15 minutes per hour for the first 5 minutes, then at 12 miles per hour for the last 15 minutes

Now, total distance travelled = distance travelled with 15 mph + distance travelled with 12 mph

$\begin{array}{l}{\mathrm{D}=15 \mathrm{mph} \times 5 \text { minutes }+12 \mathrm{mph} \times 15 \text { minutes }} \\\\ {\mathrm{D}=15 \mathrm{mph} \times \frac{5}{60} \text { hours }+12 \mathrm{mph} \times \frac{15}{60} \text { minutes }} \\\\ {\mathrm{D}=15 \times \frac{1}{12}+12 \times \frac{1}{4} \rightarrow \mathrm{D}=\frac{5}{4}+3 \rightarrow \mathrm{D}=3+1.25 \rightarrow \mathrm{D}=4.25 \mathrm{miles}}\end{array}$

c. At a constant speed of M miles per hour for the first 5 minutes, then at N miles per hour for the last 15 minutes

Now, total distance travelled = distance travelled with M mph + distance travelled with N mph

$D = M mph \times 5 minutes + N mph \times 15 minutes$

$\mathrm{D}=\mathrm{M} \mathrm{mph} \times \frac{5}{60} \text { hours }+\mathrm{N} \mathrm{mph} \times \frac{15}{60} \text { minutes }$

$\mathrm{D}=\mathrm{M} \times \frac{1}{12}+\mathrm{N} \times \frac{1}{4} \rightarrow \mathrm{D}=\frac{M}{12}+\frac{N}{4} \rightarrow \mathrm{D}=\frac{M}{12}+\frac{3 N}{12} \rightarrow 12 \mathrm{D}=\mathrm{M}+3 \mathrm{N} \text { miles }$

Hence, a) D = 4.34 miles, b) D = 4.25 miles and c) 12D = M + 3N miles.

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4 years ago

What is the area of a circle, rounded to the nearest tenth, with a diameter of 12 centimeters?

inessss [21]

Answer:

113

Step-by-step explanation:

area of a circle is 3.14*r^2

r=d/2 r=6

3.14*36=113

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3 years ago

Find the equation of the line parallel to y=3x+5 that passes through (0,4) y=3x+4

Contact [7]

Y=3x+4 is the line parallel to y=3x+5

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3 years ago