Two number cubes have sides labeled 1 through 6. Both number cubes are rolled. How many different outcomes will have a sum of 6?

Step-by-step explanation:

If you divide the distance by the elapsed time, the result will be the rate of water loss (evaporation). To convert this evaporation rate in to gallons lost over a specific time period, you will need convert the measure into a volume. WTG GLAD U GOT IT RIGHT..

Answer: i think that the only fraction that we can convert this into is 2111/1000

Answer:

[tex]\frac{2111}{1000}[/tex]

Step by step:

2.111 = [tex]\frac{2.111}{1}[/tex]

then, get rid of the decimal sign in 2.111 by multiplying it by 1000 since there are 3 numbers after the decimal point.

your new fraction is [tex]\frac{2111}{1000}[/tex]

Find the tangent vector T to the given line (t) = 〈 x(t), y(t), z(t) 〉, with parametric equations,

x(t) = -1 + 3t

y(t) = 6 - 3t

z(t) = 3 + 7t

by differentiating (t) component-wise:

T = '(t) = 〈 dx(t)/dt, dy(t)/dt, dz(t)/dt 〉

T = 〈3, -3, 7〉

Scale T by any real number t to get the line through the origin (when t = 0) and the point (3, -3, 7) (when t = 1), which of course runs parallel to '(t). This gives the vector tT. Translate this by any vector v = 〈a, b, c〉 to force this line to pass through the point (a, b, c) instead of the origin, while still remaining parallel. You want the new line to pass through (0, 11, -9), so take v = 〈0, 11, -9〉.

Then the vector equation of the new line is

tT + v = t 〈3, -3, 7〉 + 〈0, 11, -9〉 = 〈3t, 11 - 3t, -9 + 7t〉

with parametric equations

x(t) = 3t

y(t) = 11 - 3t

z(t) = -9 + 7t

Answer: F is 11m.

Step-by-step explanation: Because H,I,G are all increasing their numbers like plus 3, plus 2, and the last one has to be plus 1.

Answer:

nice hand writing

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

126 marbles

Step-by-step explanation:

if 42 is 1/3 of the jar, times it by 3 and that's the total.

Answer:

126 marbles

Step-by-step explanation:

24 - blue

18 - green

42 are blue or green

let 't' = total number of marbles

1/3t = 42

t = 42 x 3 = 126

Complete Question:

A closed box has a square base with side length L feet and height h feet. Given that the volume of the box is 39 cubic feet, express the surface area of the box in terms of L only.

Answer:

[tex]A = \frac{156}{L} + 2L^2[/tex]

Step-by-step explanation:

Given

[tex]Volume = 39ft^3[/tex]

Required

Express the surface area in terms of L

Because the box has a square base:

The volume is:

[tex]Volume = Base\ Area * Height[/tex]

Where

[tex]Base\ Area = L * L[/tex]

So, we have:

[tex]Volume = L * L * H[/tex]

Substitute 39 for Volume

[tex]39= L * L * H[/tex]

[tex]39= L^2 * H[/tex]

Make H the subject

[tex]H = \frac{39}{L^2}[/tex]

The surface area (A) of a box with square base is:

[tex]A = 2(LH + LH + L^2)[/tex]

[tex]A = 2(2LH + L^2)[/tex]

Open bracket

[tex]A = 4LH + 2L^2[/tex]

Substitute [tex]\frac{39}{L^2}[/tex] for H

[tex]A = 4L * \frac{39}{L^2} + 2L^2[/tex]

[tex]A = \frac{4L *39}{L^2} + 2L^2[/tex]

[tex]A = \frac{4*39}{L} + 2L^2[/tex]

[tex]A = \frac{156}{L} + 2L^2[/tex]

Answer:

Step-by-step explanation:

Given expression:

Value of expression when x = 3 and y = 2:

Answer:

5x + 1/2 y² when x = 3 and y = 2

[tex]→\boxed{5x + \frac{1}{2} {y}^{2} } = 5(3) + \frac{1}{2} {(2)}^{2} \\ = 5(3) + \frac{1}{2} (4) \\ = (15 + 2) \\ = \boxed{ 17}✓[/tex]

Answer:

30 hens, 20 cows.

Step-by-step explanation:

Step one:

let the number of cows be x

and the number of hens be y

Each cow has 2 eyes, each hen has 2 eyes also.

the total number of eyes is

2x+2y

Each cow has 4 legs, each hen has 2 legs.

the total number of legs is

4x + 2y

Step two:

the number of legs exceeds the number of eyes by 40:  

4x+2y - (2x+2y) = 40

open bracket

4x+2y-2x-2y=40

4x-2x=40

2x=40

Divide both sides by 2

x=40/2

x=20

Step three:

we know also that x = 2/3*y, so y = 3/2*x = 3/2 * 20 = 30

30 hens, 20 cows.

Check:

60 + 40 eyes = 100, 60 + 80 legs = 140legs.

Answer:

3/16+3/16=6/16

Step-by-step explanation:

HOPE ITS HELP YOU

Answer:

Not proportional.

Step-by-step explanation:

The values do not begin from a straight line at the origin. X begins at 2, not the origin.

The country's population decreased by about 2.4% during this time period.

Since we have given that

In 1990, the number of people = 167 million

In 2010, the number of people = 163 million

We need to find the percent decrease in the country's population during this time.

Percentage would be

New - Original x 100/original

= 163 - 167/167 x 100

= -4/167 x 100

=-2.39%

=-2.4%

Hence, the country's population decreased by about 2.4% during this time period.

Type of problem: Percentage decrease

Step 1: Find the difference between the two numbers

(Difference = original number - new number)

164,000,000 - 155,000,000 = 9,000,000

Step 2: Divide the difference by the original number

9,000,000 / 164,000,000 = 0.05487804878

Step 3: Multiply by 100 and round to find the percent

0.05487804878 x 100 = 5.48780487805

Round to one place = 5.5

Answer: 5.5% decrease in the population

Hope this helps!! :)

Answer:

5a. Tip was 17.65%

5b. Total was $35.4

Step-by-step explanation:

5a.

Create the following equation:

17 + 17x = 20

17x = 3

x = 3/17

5b.

Find 18% of 30.

30 x 0.18 = 5.4

Add 5.4 to 30.

30 + 5.4 = 35.4

[tex]2 = {x}^{2} + 5x[/tex]

[tex]0 = {x}^{2} + 5x - 2 \\ {x}^{2} + 5x - 2 = 0[/tex]

From the standard form equation and from the given equation.

[tex]a {x}^{2} + bx + c = 0 \\ a = 1 \: \: \: b = 5 \: \: \: c = - 2[/tex]

Discriminant Formula

[tex]D = {b}^{2} - 4ac[/tex]

Substitute the value of terms in the discriminant formula.

[tex]D = {(5)}^{2} - 4(1)( - 2) \\ D = 25 - 4( - 2) \\ D = 25 + 8 \\ D = 33[/tex]

Discriminant Types

[tex]D > 0 \: \: \: \: 2 \: \: real \: \: roots \\ D = 0 \: \: \: \: 1 \: \: real \: \: root \\ D < 0 \: \: \: imaginary \: \: roots[/tex]

We can rule out the Imaginary root and double root because the discriminant is greater than 0. Therefore, the only choices are either Irrational or Rational.

However, we cannot factor the expression by using two brackets or common factor. We can say that the equation has two real irrational roots.

Answer:

QR is 1.2 due to both triangle are similar

Answer:

the answer should be 0.96 units

Step-by-step explanation:

1.6/2.0=.8

.8x1.2= .96

Answer:

v-8.4=6.62 +8.4

v=15.02

Step-by-step explanation:

prove me wrong

Answer:

reflected across the y axis, the point (1, 1) becomes (-1, 1).

Step-by-step explanation:

To reflect a point across the y-axis, all you need to do is negate the x coordinate.  That gives you (-1, 1)

Answer:

120 degrees

Step-by-step explanation:

Find the diagram attached.

From the diagram;

Interior angles are m∠BCA and m∠ABC

Exterior angle is m∠DAB

The sum of interior angle of the triangle is equal to exterior

m∠BCA +m∠ABC =m∠DAB

Given

m∠ABC = 70

m∠BCA =50

m∠DAB = 70 + 50

m∠DAB = 120 degrees

Hence the measure of m∠DAB is 120 degrees

Answer:

False

Step-by-step explanation:

a+(-a)=a-a = 0 which means irrational numbers are not closed under addition or subtraction.

False. Irrational numbers are not closed under subtraction.

Given data:

Closure under subtraction means that if you subtract two irrational numbers, the result will always be another irrational number.

However, this is not true for irrational numbers.

For example, consider the irrational numbers √2 and √2 + √2. Both of these numbers are irrational. However, when we subtract √2 from √2 + √2, we get:

(√2 + √2) - √2 = √2

The result, √2, is still an irrational number. But if we subtract two irrational numbers like √2 from √2, we get:

√2 - √2 = 0

The result, 0, is a rational number, not an irrational number.

To learn more about irrational numbers, refer:

https://brainly.com/question/4031928

#SPJ6

Answer:

Answer is d because no is a polynomial

answer is 9

Step-by-step explanation:

12/4=3

1/4=3

3/4=9

Answer:

Yes.  We can conclude that the percentage of the employed workers (p1), who have registered to vote, exceeds the percentage of unemployed workers (p2), who have registered to vote.

Step-by-step explanation:

Number of employed persons in the sample = 700

Number of unemployed person in the sample = 300

Number of employed persons who have registered to vote (p1) = 500

Number of unemployed persons who have registered to vote (p2) = 200

Proportion of registered voters who are employed = 500/700 = 71.4%

Proportion of registered voters who are unemployed = 200/700 = 28.6%

This implies that the percentage of registered voters who are employed is more than the percentage of registered voters who are employed.  71.4% (500/700) of the employed registered to vote as against 66.7% (200/300) of the unemployed who registered to vote.

We can conclude that of the 700 registered voters in the sample, 71.4% (500/700) are employed while 28.6% (200/700) are unemployed.

Therefore, the percentage of the employed workers (p1), who have registered to vote, exceeds the percentage of unemployed workers (p2), who have registered to vote.

Answer:

1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Each oven weights 300 pounds and there 80 ovens:

Weight left for freezers:

Number of freezers could be added: