Julia reads 25% of a book in 100 minutes. How much time is needed to finish the book?

The area of the  triangle to the nearest hundredth of a square meter is 0.217m²

A right triangle has a hypotenuse of 1 meter and a leg of 1/2 meter

Hypotenuse = 1

base = 0.5

We need to calculate the perpendicular

h² = b² + p²

1² = 0.5² + p²

p² = 1 - 0.25

p = √0.75

p = 0.866

area of the triangle = 1/2 base x height

area = 1/2 (0.5 x 0.866)

area = 0.2165m²

Therefore the area of the  triangle to the nearest hundredth of a square meter is 0.217m²

To learn more about area refer here

https://brainly.com/question/17335144

#SPJ9

The volume of solid B is 1350 [tex]cm^{3}[/tex].

What is the volume ratio?

The side length ratio raised to the third power represents the volume ratio for the two solids.

If two solids are comparable, their volumes will have a ratio that is equal to the cube of their corresponding side ratios.

Given that both solids are similar.

The volume of solid A = 400 [tex]cm^{3}[/tex]

height of solid A = 10 cm

height of solid B = 15 cm

the volume of solid B = ?

Now,

volume of solid A/ volume of solid B = (height of solid A)^3/(height of solid B)^3

or, [tex]\frac{400}{x} = \frac{10^{3} }{15^{3} }[/tex]

or, [tex]x = \frac{400*15^{3} }{10^{3}}[/tex]

or, [tex]x = \frac{400*3375 }{1000}[/tex] = 1350

Hence, the volume of solid B is 1350 [tex]cm^{3}[/tex].

To learn more about volume ratio

https://brainly.com/question/6615047

#SPJ9

The ratios that are equivalent to 3 parts silver paint to 4 parts green paint are: 6:8 and 9:12.

A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

Generally speaking, a proportional relationship can be represented by the following mathematical expression:

x = ky

Where:

In this context, the constant of proportionality or ratio of the quantity of silver paint (parts) to green paints (parts) can be calculated as follows:

Constant of proportionality (k) = x/y

Constant of proportionality (k) = 3/4

Now, we can determine the equivalent ratios as follows:

Equivalent ratio = 4/5 ≠ 3/4

Equivalent ratio = 6/8 = 3/4 (divide by 2)

Equivalent ratio = 5/6 ≠ 3/4

Equivalent ratio = 9/12 = 3/4 (divide by 3).

Read more on ratio here: brainly.com/question/28083504

#SPJ1

the answer is 6:8 and 9:12

Step-by-step explanation: hope this helped ;D

0.08891% percent of people have a blood pressure reading greater than 145.

acc to our question-

Hence, 0.08891% percent of people have a blood pressure reading greater than 145.

learn more about unitary method click here:

brainly.com/question/24587372

#SPJ4

Answer:

d+12/3

Step-by-step explanation:

*= multiply /= fraction ALL OVER= fraction over fraction

find the common denominator-

d/3+4

d/3+3*4/3

combine fractions with the common denominator

d/3+3*4/3 ALL OVER d+3*4/3

multiply

d+3*4/3 ALL OVER d+12/3

Answer:

I think it is y = -3x + 2

Step-by-step explanation:

Answer:  The correct answer is x=−3 or x=5

Step-by-step explanation:

Solve for x^2−2x=15 using the quadratic equation

Step 1) Subtract 15 from both sides

x2−2x−15=15−15

x2−2x−15=0

For this equation: a=1, b=-2, c=-15

1x2+−2x+−15=0

Step 2) Use quadratic formula with a=1, b=-2, c=-15

x= (−b±√b2−4ac)/2a

x= (−(−2)±√(−2)2−4(1)(−15))/2(1)

x= (2±√64)/2

x=5 or x=−3

Remember to vote for this as Brainliest if I earned it!   :)

The percentage of variation in variable can be accounted for by the other variable is 81%.

What is variation in statistic?

The statistical distance between the values of the observations (data points) is what makes up a measure of variance. There are various ways to measure variation.

What is correlation coefficient?

A statistical indicator of the strength of a linear link between two variables is the correlation coefficient.

The formula of percentage of variation is:

(correlation coefficient × correlation coefficient × 100)%.

Given that the correlation coefficient is 0.90.

Thus the percentage of variation is (0.90 × 0.90 × 100)% = 81%

To learn more about correlation coefficient, you can visit below side

https://brainly.com/question/15577278?

#SPJ4

Answer:

Step-by-step explanation:

(12-5)x4=28

Answer:

59/15

Step-by-step explanation:

8/5 + 7/3                       Multiply the numerator and denominator by the LCF of the denominator

(3/3) 8/5 + 7/3 (5/5)      Multiply

24/15 + 35/15                Add the numerators

59/15

The graph whose domain is positive will not have any x - intercept.

What is graph of a function?

At first it is important to know about function

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Graph of a function is the set of all points of the form (x, f(x)).

The graph is positive in its entire domain

f(x) > 0 for all x

So the graph will never cut the x axis at any point.

So the graph will not have any x intercept.

To learn more about graph of a function, refer to the link-

https://brainly.com/question/19040584

#SPJ9

The slope of the linear function → 4x - 1 = 3y + 5 is [m] = 4/3 and the [y] intercept is at [c] = -2

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given is a equation of a straight line as -

4x - 1 = 3y + 5

We have the equation as follows -

4x - 1 = 3y + 5

Rearranging the equation -

3y = 4x - 1 - 5

3y = 4x - 6

y = (4/3)x - 2

Refer to the graph attached.

The slope of the line is [m] = 4/3

The [y] intercept is at [c] = -2

Therefore, the slope of the linear function → 4x - 1 = 3y + 5 is [m] = 4/3 and the [y] intercept is at [c] = -2

To solve more questions on straight lines, visit the link below-

brainly.com/question/29030795

#SPJ2

By using the rule of 3 we wills ee that the percentage of students who play the trumpet is 20%

We know that there are 150 students in the marching band, that will be our 100% in this case, and we know that 30 of them play the trumpet.

These 30 students represent a percentage X that we want to find, so we can write a little system of equations and use the rule of 3.

30  = X

150 = 100%

Taking the quotient between the two equations we get:

(30/150) = X/100%

Solving for X we get:

(30/150)*100% = X = 20%

So we can say that 20% of the students play the trumpet.

Learn more about percentages:

https://brainly.com/question/843074

#SPJ1

Answer:

6.6

Step-by-step explanation:

you subtract 6.6 from both sides to cancel it out on one side

Hopes this helps please mark brainliest

Answer:

40 cm²

Step-by-step explanation:

Let,

length ( l ) = 4 cm

Height ( h ) = Width ( w ) = 2 cm

To find : Surface are of cuboid : -

Formula : -

Surface are of cuboid = 2 [ lh + hw + wl ]

Surface are of cuboid

= 2 [ ( 4 )( 2 ) + ( 2 )( 2 ) + ( ( 2 )( 4 ) ]

=  2 [ 8 + 4 + 8 ]

= 2 [ 20 ]

= 2 x 20

= 40 cm²

Answer:

y=5x+1

Step-by-step explanation:

we already know the slope so we can put it in the slope intercept form

y=5x

And now we can put the coordinate points in there to find the y intercept

-4=5(-1)

-4=-5

We need to add 1 to make this equation true so the y intercept is 1

The equation will be

y=5x+1

Hopes this helps please mark brainliest

Answer:

y=5x+1

Steps are in the picture

The probability of not getting 6 at all is 11/36

The term "probability" is most commonly used to refer to the likelihood that a specific event (or set of events) will occur, expressed as a linear scale from 0 (impossibility) to 1 (certainty), or as a percentage between 0 and 100%. Statistics is the study of events subject to probability.

Given,

A die is rolled 2 times  

6 was on the first roll, but there was no 6 on the second,

6 came up on the second roll but not the first.

2 sixes

A) It is evident that 1/6 of the time you will roll a six.

B) There is a 5/6 chance of not getting a six on a single roll.

1/6x5/6 + 5/6x1/6 + 1/6x1/6

= 5/36 + 5/36 + 1/36

= 11/36

The probability of not getting 6 at all is 11/36

To learn more about probability, visit:

https://brainly.com/question/11234923

#SPJ4

The statement which is true about this equation is that: C. The equation has no solution.

In Mathematics, no solution is sometimes referred to as zero solution. Additionally, an equation is considered as having no solution when the right hand side and left hand side of the equation are not the same or equal.

This ultimately implies that, an equation would have no solution or zero solution when both sides of the equal sign are not the same and the variables cancel out.

From the information provided above, we have this equation:

3(-y + 7) = 3(y + 5) + 6

Opening the bracket, we have the following:

-3y + 21 = 3y + 15 + 6

Next, we would rearrange the equation by collecting like terms as follows:

-3y + 21 = 3y + 21 (no solution)

-3y - 3y = 21 - 21

-6y = 0

y = -0/6

y = 0

Read more on equation here: brainly.com/question/28949611

#SPJ1

Answer:

y = [tex]\sqrt{(k-a)}[/tex]

Step-by-step explanation:

k= y^2 + a

k-a= y^2

y^2 = k-a

y = (k-a)^(1/2)

y = [tex]\sqrt{(k-a)}[/tex]

Answer:

[tex]\displaystyle{y=\pm \sqrt{k-a}}[/tex]

Step-by-step explanation:

To make y-term as the subject of formula means to solve for y-term. First, subtract both sides by a-term, this’ll at least isolate y².

[tex]\displaystyle{k-a=y^2+a-a}\\\\\displaystyle{k-a=y^2}[/tex]

Everything that you do or add to one of both sides, that side will also be done too. (e.g Suppose we have x + 1 = y. If we add 2 to left then 2 should also be added to right too so we’ll have x + 1 + 2 = y + 2)

Then square root both sides to get rid of the exponents of y-term:

[tex]\displaystyle{\sqrt{k-a}=\sqrt{y^2}}[/tex]

If we substitute y = any numbers, we’ll always get positive result. Therefore, this means that y-term can be any positive or negative values. Hence, write plus-minus to the left side then evaluate the square root of y² to y:

[tex]\displaystyle{\pm \sqrt{k-a}=y}[/tex]

Therefore, the new equation written in term of y is:

[tex]\displaystyle{y=\pm \sqrt{k-a}}[/tex]

Answer:

The answer is C, I had this same quiz today and I got 100%

The simplified for of the Algebraic expression which is the sum of two terms is 1 + 7x

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms which can either be a variable or a constant .

11 + 5(3x - 2) -8x

multiply out the bracket we have,

11 + 15x - 10 -8x

collect like terms and simplify

11 - 10 + 15x - 8x

1 + 7x

In conclusion, the expression 11 + 5(3x - 2) as a sum of two terms is 1 + 7x

Learn more about Algebraic expressions: https://brainly.com/question/2164351

#SPJ1

The last four digits of the number nn are 4944

Given that,

Let nn stand for the lowest positive integer that can be represented in base-1010 using only the numbers 44 and 99, with at least one of each. This number must be divisible by both 44 and 9,9.

The last two digits of n must be divisible by 4 for n to be divisible by 4.

So last digits of n will be 44.

And for divisiblity by 9, sum of all digits of n has to be divisible by 9.

As two digits are fixed and their total is 8, next feasible total will be 45 so 9 can be atleast one time in n.

And as statement says n has to be smallest number n will be 4444444944

So last 4 digits of n are 4944.

Therefore, nn's last four numbers are 4944.

Learn more about positive integer :

brainly.com/question/28165413

#SPJ4

Answer:

 3x + y - 4z = -222x + 3y + 4z = 32x - y + 2z = 16 Write and number each equation. Eq 1 3x+y-4z = 16. Eq 2 -222x+3y+4z = 16. Eq 3 32x-y+2z = 16 

Step-by-step explanation:

Hope it helps you buddy(:

Answer: 16

You already got the answer- But whatever.

The values of [x], [y] and [z] are 2, 0 and 7.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written to express proportional relationship as -

y = kx  {k is constant}

We have the following system of equation -

3x+y-4z=-22

2x+3y+4z=32

x-y+2z=16

We can write -

x - y + 2z = 16

x = 16 + y - 2z

So, we can write 3x + y - 4z = -22 as -

3(16 + y - 2z) + y - 4z = -22      ...eq[1]

and we can write 2x + 3y + 4z = 32 as -

2(16 + y - 2z) + 3y + 4z = 32      ...eq[2]

Plot eq[1] and eq[2], and find [y] and [z]. Refer to graph.

We get y = 0 and z = 7

So -

x = 16 + 0 - 14

x = 2

Therefore, the values of [x], [y] and [z] are 2, 0 and 7.

To solve more questions on system of equations, visit the link below-

https://brainly.com/question/20067450

#SPJ2

The amount of wire that can be bought from 21 cents is 7 inches.

It is given in the question that 12 inches of wire costs 36 cents.

We have to find the amount of wire that can be bought from 21 cents.

We will use the unitary method to solve this question.

Amount of wire that can be bought from 1 cent = 12/36 = 1/3 inches

Hence, according to the data given in the question, we can write,

The amount of wire that can be bought from 21 cents = (1/3)*21 = 7 inches.

Unitary method

The unitary method is a mathematical problem-solving technique where the value of a single unit is found out from the value of multiple units prior to finding the necessary result.

To learn more about unitary method, here:-

https://brainly.com/question/22056199

#SPJ1

The required positive number whose product is 25 and whose sum is minimum is 5, 5

Sum of two numbers means adding two same or different number together

Let two positive numbers xy = 25

Divide both side by x

y  = [tex]\frac{25}{x}[/tex]  ----------Equation (1)

Sum of two positive numbers s = x + y  -------Equation (2)

Substitute equation (1) into equation (2)

S = x + [tex]\frac{25}{x}[/tex]

differentiate with respect to x

[tex]\frac{ds}{dx} = \frac{d}{dx} (x + \frac{25}{x} ) = 1 - \frac{25}{x^{2} }[/tex]

[tex]\frac{ds}{dx} = 1-\frac{25}{x^{2} }[/tex]  ---------- Equation (3)

[tex]\frac{ds}{dx} = 0[/tex]

[tex]1[/tex][tex]- \frac{25}{x^{2} }[/tex] = 0  ⇒ [tex]x^{2}[/tex] = 25

x = 5

Differentiate equation (3) again

[tex]\frac{d^{2}s }{dx^{2} } = 0 + \frac{50}{x^{2} }[/tex]

hence, at point x = 5,   [tex]\frac{d^{2} s}{dx^{2} } = \frac{50}{5^{2} }[/tex]  [tex]= \frac{50}{25} = 2[/tex]

Value of s minimum at point x = 5.

substitute the value of x into equation (1)

[tex]y = \frac{25}{x} = \frac{25}{5} = 5[/tex]

Therefore the required positive numbers are 5, 5.

Learn more about sum of two positive numbers here: https://brainly.ph/question/99369

#SPJ1

Answer:

x = 14

Step-by-step explanation:

the inscribed angle JKL is half the measure of its intercepted arc, that is

83 = [tex]\frac{1}{2}[/tex] arc JL = [tex]\frac{1}{2}[/tex](9x + 40) ← multiply both sides by 2 to clear the fraction

166 = 9x + 40 ( subtract 40 from both sides )

126 = 9x ( divide both sides by 9 )

14 = x

Answer:

1) 71.83

2) 43

3) 41

4) 755.66

5) 458

6) 1757.12

7) 123 meters

Answer:

SAS

Step-by-step explanation:

If two sides and the included and the included angle of one triangle are congruent to two sides and the included angle of another triangle , then the triangles are congruent. The included angle is the angle formed by the two sides.

EF = BC

∠ F = ∠ C

DF = AC

then the two triangles are congruent by the SAS postulate.

Answer:

SAS

Step-by-step explanation:

On triangle one and two, they both start by having a congruent side, then a congruent angle, then another congruent side, thus making these triangles congruent by Side Angle Side.

It can't be AAS because there is only one angle, we know is congruent.

It can't be SSS because there are only two sides, we know are congruent.

It can't be HL because there is no right angle, meaning these aren't right triangles.

The number of randomly selected employers that would have to be contacted is 9604

The confidence level is 95%

1 - 0.95 = 0.05

We have to get the z value at 0.05

0.05/2 = 0.025

Using the standard normal table, the critical value at 0.025 = 1.96

We have to define the probability as P = 50% = 0.5

we have to define q = 1 - 50% = 0.5

The formula that would be used to find the value of n is given as

[tex]n = pq\frac{Zc}{E} ^2[/tex]

These variables used are:

pq = variance of population

E = margin of error = 0.01

critical value = Zc = 1.96

[tex]n = 0.5*0.5 (\frac{1.96}{0.01})^2[/tex]

= 0.25 * 38416

= 9604

Hence the sample space is given as 9604

Read more on confidence interval here:

https://brainly.com/question/26658887

#SPJ1