What is the value for x,the length of side bc?7 to

Answer:

1/20

Step-by-step explanation:

Take 1/12 and 2/15 and find a common denomitator of 180 then multiply the tops to get 24/180 for 1/2 and 15/180 for 2/15 and then subtract to get 9/180

Finally simify to get 1/20

9514 1404 393

Answer:

  5x -3y = -21

Step-by-step explanation:

The parallel line will have the same x- and y-coefficients, but a constant suitable for the given point.

  5x -3y = constant

  5(-6) -3(-3) = constant = -30 +9 = -21

The equation of the line is ...

  5x -3y = -21

Answer:

30 times three

Step-by-step explanation:

because all the bottom number are multiplying buy three.

Answer:

a. The count of rolling an odd number from a sample proportion size of 100 can be approximated with a normal distribution.

Step-by-step explanation:

Whenever we roll a fair dice, the possible outcomes are { 1, 2, 3, 4, 5, 6}. In this three numbers are even numbers, i.e. {2, 4, 6}.

The probability of getting an even number is [tex]$p (\text{even}) =\frac{3}{6} = \frac{1}{2}$[/tex]

Since each of the rolls is independent and each probability of getting even remains the same.

Using the central limit theorem, the sampling distribution of a large sample, usually more than 30 can be approximated by the normal distribution. A single roll of an even or odd number cannot be approximated by a normal  distribution, it follows the Binomial distribution.

If number of rolls are large, then a normal approximation can be used.

Answer:

The count of rolling an odd number from a sample proportion size of 100 can be approximated with a normal distribution.

Step-by-step explanation:

Answer:

1 /100

Step-by-step explanation:

Probability = (number of required outcomes / number of total possible outcomes)

Total possible outcomes = count of all 3 digit numbers ={100, 101,... 999} = 900

Required outcome = count of Three digit numbers with all 3 digits being the same = {111,222,333,444,555,666,777,888,999} = 9

Hence, probability that selected number has all 3 digits being the same :

9 / 900 = 1 /100

Answer:

4 14/15 more pounds of roast beef

Step-by-step explanation:

subtract 4 2/3 from 9 3/5

9 3/5 - 4 2/3= 4 14/15

So your answer is 4 14/15

Answer:

1&3 are supplementary

3&6 are congruent

4&5 are supplementary

2&3 are congruent

1&6 are supplementary (not sure about this one)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Discount amount:

Sale price:

Answer:

9.60

Step-by-step explanation:

i did the quiz

Answer:

14

Step-by-step explanation:

The perimeter is the sum of the sides, so we have

2x+x+15+4x-7=57

= 7x+8

Subtracting 8 from both sides, we get

7x= 49

Dividing 7 from both sides, we get

x=7

Our sides are then 2x=14, x+15=22, and 4x-7=21. 14 is our answer

Answer:

The shortest length of the triangle is: 14

Hence, option B is correct.

Step-by-step explanation:

Given the triangle with the lengths

Given that the perimeter of triangle = P = 57

We know that the perimeter of a triangle is the sum of the lengths of the sides of a triangle.

so

[tex]P = (x+15)+(4x-7)+(2x)[/tex]

substitute P = 57

[tex]57 = (x+15)+(4x-7)+(2x)[/tex]

switch sides

[tex]\left(x+15\right)+\left(4x-7\right)+\left(2x\right)=57[/tex]

[tex]x+15+4x-7+2x=57[/tex]

Group like terms

[tex]x+4x+2x+15-7=57[/tex]

Add similar elements

[tex]7x+15-7=57[/tex]

[tex]7x=49[/tex]

divide both sides by 7

[tex]\frac{7x}{7}=\frac{49}{7}[/tex]

simplify

[tex]x=7[/tex]

Now, measuring the lengths by substituting x = 7

Therefore, the shortest length of the triangle is: 14

Hence, option B is correct.

Answer:

Length of a side of a square = 2√2 units

Step-by-step explanation:

Let the length of a square is 'x' units.

Therefore, Area of the square A = (Side)²

                                                      = x² square units

And by Pythagoras theorem,

(Diagonal)²= (Side 1)² + (Side 2)²

                 = x² + x²

                 = 2x²

Diagonal 'p' = x√2 units

It is given in the question that area of the square is increasing four times as fast as the diagonals.

[tex]\frac{d(A)}{dt}=4(\frac{dp}{dt} )[/tex] -------(1)

[tex]\frac{d(A)}{dt}=\frac{d(x^2)}{dt}[/tex]

[tex]\frac{d(A)}{dt}=2x\frac{d(x)}{dt}[/tex]

Similarly, [tex]\frac{d(p)}{dt}=\frac{d(x\sqrt{2})}{dt}[/tex]

                      [tex]=\sqrt{2}\frac{dx}{dt}[/tex]

Now by placing the value of [tex]\frac{d(A)}{dt}[/tex] and [tex]\frac{d(p)}{dt}[/tex] in equation (1),

[tex]2x\frac{dx}{dt}=4\sqrt{2}\frac{dx}{dt}[/tex]

[tex](2x - 4\sqrt{2})\frac{dx}{dt}=0[/tex]

Since, [tex]\frac{dx}{dt}\neq 0[/tex]

[tex](2x - 4\sqrt{2})=0[/tex]

x = 2√2

Therefore, length of a side of the square is 2√2.

Answer:

8.333

Step-by-step explanation:

F(x) α 1/ x

F(x) = k/x

F(x) = 25 ; x = 6

Lets use the information above to obtain the value of k

25 = k/6

k = 25 * 6 = 150

k = 150

Therefore, the value of f(x) when x = 18 will be :

Using the relation :

F(x) = k/x

k = 150, x = 18

F(x) = 150 / 18

F(x) = 8.333

Answer:

72 miles

Step-by-step explanation:

60% times 45 = 27

27 + 45 = 72

Answer is 72 miles

Answer:

Ema's Family would drive 72 miles

Step-by-step explanation:

Hope this helps :)

And I hope this is correct

Answer:

f(x) = x² + 5

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

y - x² = 5

Step 2: Rewrite

===================================================

Work Shown:

Subtract the values to get 2.1-1.5 = 0.6

Brianna is off by 0.6 liters

Divide that error by the true value 1.5 to get 0.6/1.5 = 0.40

Then move the decimal point 2 spots to the right to arrive at 40%

Therefore, the percent error is 40%

------------------

The formula you can apply is:

[tex]P = \frac{|G-T|}{T}*100\%[/tex]

where

P = percent error

G = guess value (in this case it is 2.1)

T = true value (which is 1.5 in this case)

If we were to apply the formula, then we get:

[tex]P = \frac{|G-T|}{T}*100\%\\\\P = \frac{|2.1-1.5|}{1.5}*100\%\\\\P = \frac{|0.6|}{1.5}*100\%\\\\P = \frac{0.6}{1.5}*100\%\\\\P = 0.40*100\%\\\\P = 40\%\\\\[/tex]

Answer:

Step-by-step explanation:

The distance required is the length of the tunnel added to the length of the train

Time is:

Answer:

24 ÷ ( 8 - 2 )

= 24 ÷ 6

= 4

so, 4 is the answer

Answer:

on your question it says “=“ but on the picture it says “÷”

so for 24=(8-12) it would be 30

and for 24÷ (8-12) it would be -6

Step-by-step explanation:

Hope this helps, have a good day

Answer:

$374

Step-by-step explanation:

First you need to find how much money does the back pay per year

$200*7.25

=1450

1450/100

=14.5

Secondly you need to find how much does Catherine have in 12 years

14.5*12 years

=$174

Lastly add the money she already had 12 years ago to how much the bank payed in that 12 years

$200+$174

=$374

Answer:

730% 23% and 40%

Step-by-step explanation:

.......

Answer:

He rode 20 miles in 2 hours

Answer:

Step-by-step explanation:

1 no.. not continuous

2no.. not continuous

3 yes , over a certain range it is

4no b/c it fails the vertical line test.. there is more than one point on the x axis

5no  multiple point on the x axis and not continuous

6 yes, over a certain range

Answer:

36.04

The amount of the tip is approximately $

$7.00

O $7.20

0 $7.25

$7.50

Step-by-step explanation:

Answer:

NO.

Step-by-step explanation:

An irrational number cannot be written as a fraction.

Answer:

math is a difficult subject

Answer:

0.4245

Step-by-step explanation:

The probability that Z lies between -0.558 and 0.558 can be written as;

P(-0.558 < z < 0.558) = P(z < 0.558) - P(z < -0.558)

Using z - distribution table, we have;

P(z < 0.558) = 0.7122

P(z < -0.558) = 0.2877

Thus;

P(z < 0.558) - P(z < -0.558) = 0.7122 - 0.2877 = 0.4245

Answer:

[tex]Amount = 8.31[/tex]

Step-by-step explanation:

Given

[tex]Rate = 6 + 0.77t[/tex]

Required

Determine the gallons of oil lost between 1pm to 4pm

[tex]Rate = 6 + 0.77t[/tex]

Where t represents number of hours

First, we need to calculate the duration between 1pm and 4m.

[tex]t = 4pm - 1pm[/tex]

[tex]t = 3\ hours[/tex]

Substitute 3 for t in [tex]Rate = 6 + 0.77t[/tex]

[tex]Amount = 6 + 0.77 * 3[/tex]

[tex]Amount = 6 + 2.31[/tex]

[tex]Amount = 8.31[/tex]

Hence, 8.31 gallons of oil has been lost

Answer:

Solution will be 1/15625

Step-by-step explanation:

Substitute the value of first term for ar^(4-1) for the third term with 1/25 on RHS, make r the subject (which is the common ratio)

you'll get r as 1/5

Now for the eighth term, replace the "4" in the formula with "8" and a with "5" and observe the magic.

Answer:

[tex]3x - 15 = 150 \\ 3x = 165 \\ x = 55[/tex]

Answer:

graph attached

Step-by-step explanation:

27x - 15y = 1350

15y = 27x -1350

y = 27/15 x - 1350/15

y = 9/5 x - 90

y = mx + b     y intercept (b) = -90

y=0  x = 90 * 5/9 = 50   x intercept

Step-by-step explanation:

Given function

Easy way to find x- and y-intercepts and graph the line:

x-intercept found when y = 0

y-intercept found when x = 0

So the points are:

Plot these two points on a coordinate plane and connect with a line

Answer:

[tex]\displaystyle \frac{dh}{dt} = \frac{1}{20 \pi} \ cm/s[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Geometry

Calculus

Derivatives

Derivative Notation

Differentiating with respect to time

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{r}{h} = \frac{2}{3} \\\frac{dV}{dt} = 5 \ cm^3/s\\h = 15 \ cm[/tex]

Step 2: Rewrite Cone Volume Formula

Find the volume of the cone with respect to height.

Step 3: Differentiate

Step 4: Find Height Rate

Find dh/dt.