What is the probability of rolling a number greater than 6 on a number cube

Answer:

6a) i- 2hrs 36mins  ii- 3hrs 12mins

b) car A≈ 76.9km/h  car B≈ 62.5km/h

c)------

7a) 35km

b) car A=75km  car B=60km

c) 30km

d) car A≈36mins  car B≈48mins

Step-by-step explanation:

6a) Using the graph follow the lines until they finish then go downwards until you get to the x-axis. The x-axis is going up by 12mins for each square.

b) Using the answer from a, you divide 200km by the time.

For car A 2hrs 36mins becomes 2.6 because 36mins/60mins=0.6

∴ car A: 200/2.6≈ 76.92km/h

For car B 3hrs 12mins becomes 3.2 because 12mins/60mins=0.2

∴ car B: 200/3.2≈ 62.5km/h

7a) Using the graph go down from where the line of car A finished to meet car B. The y-axis is going up by 5km for each square.

b) Starting from the x-axis at 1 hour go upwards to see where you meet the car B line (60km) and car A line(75km). (sorry if that does not really make sense).

c) Difference from car A line to car B:

155km-125km=30km

d) Going across from 50km meet car A line and go down to see it has been travelling for approx. 36mins. Then continue across to car B line, go down to see it reached 50km at approx. 48mins.

Hope this helps.

Answer:

  C)  y ≥ 3

Step-by-step explanation:

The answer choices suggest that you're interested in the range of the function. x^2 cannot be negative, so its value will be 0 or greater. Adding 3 to x^2 ensures that the value of f(x) will be 3 or greater.

  y ≥ 3 . . . . matches C

Answer:

63

Step-by-step explanation:

pie multiply 2 sq. 2 multiply with 5

Answer: negative correlation

Step-by-step explanation: If you look at the points in this graph here, I would say that those points are very close to a perfect line.

Notice that the slope of the line is negative.

This means it will be a negative correlation.

So the line is a very good estimate of the points.

Answer:

the stone fell in the air for 7 sec and fell in the water for 5 sec

Answer:

Let time taken in air be 'a'

And the time taken in water be 'b'

a+b=12

Distance covered in air = 16a

′′′′′ ′′″″ water= 3b

16a + 3b = 127

Solve the two equations simultaneously

a= 7 secs

b= 5 secs

Answer:

D) y = x - 1

Step-by-step explanation:

First we need the general equation of point slope form:

(y - y0) = m(x - x0)

Where y0 is the y coordinate and x0 is the x coordinate and m is the slope.

For the line to be perpendicular, we need the slope to be the negated opposite of the other equation.  So the negated opposite of -1 is 1.

So our m = 1, y0 = -2, and x0 = -1.  Now let's plug this into the equation and reform the equation into slope-intercept form

(y - (-2)) = 1 (x - (-1))

y + 2 = 1 (x + 1)

y + 2 = x + 1

y = x - 1

So the equation of the line that goes through the point (-1,-2) and is perpendicular to the line y = -x -1, is y = x - 1.

Cheers.

Answer:

B) y = -x - 3

Step-by-step explanation:

slope = -1

y = mx + b

-2 = -1(-1) + b

-3 = b

y = -x - 3

Answer:

(3x+4)(2x-5)

Step-by-step explanation:

Factor by grouping.

Answer:

10 batches - they only have 10 eggs, so they can't make any more batches without them

The perpendicular distance of the trapezoid is 3.5 cm

The given parameters are:

The area of a trapezoid is:

Area = 0.5 * (Sum of parallel sides) * perpendicular distance

So, we have:

14.7 = 0.5 *(5.3 + 3.1) * perpendicular distance

Evaluate

Perpendicular distance = 3.5

Hence, the perpendicular distance of the trapezoid is 3.5 cm

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Answer:

m∠C = 102°

Step-by-step explanation:

This diagram is a Quadrilateral inscribed in a circle

The first step is to determine what m∠B

is

The sum of opposite angles in an inscribed quadrilateral is equal to 180°

m∠D + m∠B = 180°

m∠B = 180° - m∠D

m∠B = 180° - 80°

m∠B = 100°

Second step is we proceed to determine the exterior angles of the circle

m∠ADC = 2 × m∠B

m∠ADC = 2 × 100°

m∠ADC = 200°

m∠ADC = m∠CD + m∠AD

m∠AD = m∠ADC - m∠CD

m∠AD = 200° - 116°

m∠AD = 84°

The third step is to determine m∠BAD

m∠BAD = m∠AD + m∠AB

m∠BAD = 84° + 120°

m∠BAD = 204°

The final step Is to determine what m∠C is

It is important to note that:

m∠BAD is Opposite m∠C

Hence

m∠C = 1/2 × m∠BAD

m∠C = 1/2 × 204

m∠C = 102°

Use the ^ symbol to indicate exponents. So for instance 4^2 = 4 squared.

A decrease of 19% means we have r = -0.19 and 1+r = 1+(-0.19) = 0.81 as the base of the exponent. A decrease of 19% means the population retains 81% each year.

Answer:

[tex]D = 170\º[/tex]

Step-by-step explanation:

Given

Shape: Pentagon

[tex]A = 87\º[/tex]

[tex]B = 125\º[/tex]

[tex]C = 63\º[/tex]

[tex]E = 95\º[/tex]

Required

Find D

From the sum of angles in a Pentagon; we have that

[tex]A + B + C + D + E = 540[/tex]

Substitute values for A, B, C and E

[tex]87\º + 125\º + 63\º + D + 95\º = 540\º[/tex]

Collect Like Terms

[tex]87\º + 125\º + 63\º + 95\º + D = 540\º[/tex]

[tex]370\º + D = 540\º[/tex]

Collect Like Terms

[tex]D = 540\º - 370\º[/tex]

[tex]D = 170\º[/tex]

Hence, from the list of given options, the correct answer is 170

Answer:

Step-by-step explanation:

5.

volume=l×w×h=8×6×7=336 mi³

6.

diameter=16 yd

radius=16/2=8 yd

[tex]volume=\frac{4}{3} \pi \times 8^3=\frac{2048}{3} \pi \approx 2144.67 \approx 2144.7 yd^3[/tex]

Answer:

She moved 3 to the left and 5 down.

She could have calculated each point seperately.

A(1,-1) then subtract 2 and subtract 6 from the x and then the y-coordanate, which gets you to A'(-1,-7). Then, do this with every other coordanate and you will get your answer. Hope this helped!

there is no visible graph

Step-by-step explanation:

Answer:

x^2+19

Step-by-step explanation:

Answer:

x = 3 9/10

Step-by-step explanation:

2x/9 +x/3 = 13/6

Get a common denominator on the left side

2x/9 + x/3 *3/3 = 13/6

2x/9 + 3x/9 = 13/6

5x/9 = 13/6

Multiply each side by 9/5 to isolate x

5x/9 *9/5 = 13/6 * 9/5

x = 117/30

Divide the top and bottom by 3

x = 39/10

x = 3 9/10

Answer:

[tex]\bold{\red{\boxed{\blue{ x = 3.9}}}}[/tex]

Step-by-step explanation:

[tex] \frac{2x}{9} + \frac{x}{3} = \frac{13}{6} \\ \frac{2x + 3x}{9} = \frac{13}{6} \\ \frac{5x}{9} = \frac{13}{6} \\ use \: \: cross \: \: multipication \\ 5x \times 6 = 9 \times 13 \\ 30x =11 7 \\ \frac{30x}{30} = \frac{117}{30} \\ x = 3.9[/tex]

The answer to C is 1.5 or 3/2

Since we know that 2x is equal to 3 because the solution is three and 3+3=6 then we divide 3 by 2 to get 3/2

Answer:

D.

Step-by-step explanation:

Choices A., B., and C. are always true.

Choice D. is true only for rectangles with congruent sides, which are squares.

Answer: D.

Answer:

x^(1/2)

Step-by-step explanation:

For this, we need to understand exponent rules.  This one is like this, "A power to a power, you multiply the exponents".  This is simply, because this expression would be equivalent to 3 base terms:

(x^(1/6))^3 = (x^(1/6)) * (x^(1/6)) * (x^(1/6))

And when you perform this multiplication "Powers of like bases, you add the exponents", you will get the following

(x^(1/6)) * (x^(1/6)) * (x^(1/6)) = x^(1/6 + 1/6 + 1/6) = x^(3/6) = x^(1/2)

Hence, this expression simplifies to x^(1/2).

Cheers.

Answer:

Option D is the correct option.

Step-by-step explanation:

[tex] \mathrm{ ({x}^{ \frac{1}{6} } ) ^{3} }[/tex]

[tex] \mathrm{simplify \: the \: expression \: by \: multiplying \: exponents}[/tex]

[tex] \mathrm{ = {(x)}^{ \frac{1}{6} \times 3 } }[/tex]

[tex] \mathrm{ = {x}^{ \frac{1}{2} } }[/tex]

Hope I helped!

Best regards!

Answer:

Step-by-step explanation:

Let's solve :

[tex] \mathsf{ \: people \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:time \: ( \: in \: minutes)}[/tex]

[tex] \mathsf{12 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 1 \: hour \: = \: 60 \: minutes }[/tex]

[tex] \mathsf{5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: t }[/tex]

The amount of time needed for completion is inversely proportional to the number of people working on the orchard. Let t be the amount of time ( in minutes ) needed when there are 5 people working.

[tex] \mathsf{ \frac{12}{5} = \frac{t}{60} }[/tex]

Apply cross product property

[tex] \mathsf{5t = 12 \times 60}[/tex]

Multiply the numbers

[tex] \mathsf{5t = 720}[/tex]

Divide both sides of the equation by 5

[tex] \mathsf{ \frac{5t}{5} = \frac{720}{5} }[/tex]

Calculate

[tex] \mathsf{t = 144 \: minutes}[/tex]

Hope I helped!

Best regards!!

It will take five people 144 minutes to paint the orchard.

12 people can paint the orchard in one hour, which is 60 minutes.

If there are five people, it will take them 12 × 60 / 5 = 144 minutes to paint the orchard.

So the answer is 144

Here's the explanation:

We know that the number of people and the time it takes to paint the orchard are inversely proportional. This means that if we increase the number of people, the time it takes to paint the orchard will decrease.

We can also set up a proportion to find the time it takes five people to paint the orchard. The proportion will look like this:

12 people : 5 people :: 60 minutes : x minutes

Cross-multiplying, we get:

12 × x = 5 × 60

x = 5 × 60 / 12

x = 144 minutes

Therefore, it will take five people 144 minutes to paint the orchard.

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Answer:

x = 5

Step-by-step explanation:

Notice that there is also a base 5 on the right hand side of the equation, therefore, let's move [tex]5^{x-4}[/tex] to the right by dividing both sides by it. and then re-writing the right hand side as 5 to a power:

[tex]2^{x-5}\,*\,5^{x-4}=5\\2^{x-5}=5/5^{x-4}\\2^{x-5}=5\,*\,5^{4-x}\\2^{x-5}=5^{5-x}[/tex]

Now apply log to both sides in order to lower the exponents (where the unknown resides):

[tex](x-5)\,log(2)=(5-x)\,log(5)[/tex]

Notice that when x = 5, this equation is true because it makes it the identity: 0 = 0

So, let's now examine what would be the solution of x is different from 5, and we can divide by (x - 5) both sides of the equation:

[tex]log(2)=\frac{5-x}{x-5} \,log(5)\\log(2)=-1\,\,log(5)\\log(2)=-log(5)[/tex]

which is an absurd because log(2) is [tex]\neq[/tex] from log(5)

Therefore our only solution is x=5

Answer:

if decimal  no solution

if multiply x =5

Step-by-step explanation:

If this is a decimal point

2^(x-5) . 5^(x-4) = 5

Rewriting .5 as 2 ^-1

2^(x-5)  2 ^ -1 ^(x-4) = 5

We know that a^ b^c = a^( b*c)

2^(x-5)  2 ^(-1*(x-4)) = 5

2^(x-5)  2 ^(-x+4) = 5

We know a^ b * a^ c = a^ ( b+c)

2^(x-5 +-x+4) = 5

2^(-1) = 5

This is not true so there is no solution

If it is multiply

2^(x-5)  * 5 ^(x-4) = 5

Divide each side by 5

2^(x-5)  * 5 ^(x-4) * 5^-1 = 5/5

We know that a^ b * a^c = a^ ( b+c)

2^(x-5)  * 5 ^(x-4 -1)  = 1

2^(x-5)  * 5 ^(x-5)  = 1

The exponents are the same, so we can multiply the bases

a^b * c*b = (ac) ^b

(2*5) ^ (x-5) = 1

10^ (x-5) = 1

We know that 1 = 10^0

10^ (x-5) = 10 ^0

The bases are the same so the exponents are the same

x-5 = 0

x=5

Answer:

Sofia will order 7 more rolls of sushi (84 pieces) and pay $56

Step-by-step explanation:

They need at least 100 pieces of sushi

Sofia had ordered and paid for 24 pieces of sushi already

Sushi comes in rolls

Each roll=12 pieces at $8

R=additional rolls that Sofia orders

Additional sushi= Needed sushi - ordered sushi

=100-24

=76 pieces of sushi

Each roll has 12 pieces

76/12=6.33

Sofia has to order in rolls

So, she will order 7 more rolls of sushi of 12 pieces each

12*7=84 pieces

Recall, that they needed at least 100 pieces, so the number of pieces could be more than 100

If Sofia orders 84 pieces + the already ordered 24 pieces

Total pieces=108 pieces

She has paid for 24 pieces (3 rolls) at $8 per roll

7 rolls=$8*7

=$56

♡ The Question/Task(s)! ♡

✦ || 1) Which inequality describes this scenario?

✦ || 2) What is the least amount of additional money Sofia can spend to get the sushi they need?

︶꒦︶꒷︶︶ʚ♡ɞ︶︶꒷︶꒦︶

♡ The Answer(s)! ♡

✦ || 1) The inequality is, "24 + 12R ≥ 100"!

✦ || 2) They need 56 Dollars!

I apologize if the answer is incorrect! ♡

︶꒦︶꒷︶︶ʚ♡ɞ︶︶꒷︶꒦︶

♡ The Step-By-Step Process! ♡

✦ || Sofia needs the sushi she's already ordered plus the additional sushi to be at least 100 pieces. We can represent this with an inequality whose structure looks something like this:

(sushi already ordered) + (additional sushi) [≤ or ≥] 100

Then, we can solve the inequality for R to find how many additional rolls Sofia needs to order. Sofia has already ordered and paid for 24 pieces. Each roll has 12 pieces, and R represents the number of additional rolls, so the number of additional pieces from these rolls is 12R. The number of pieces she's already ordered plus the additional pieces needs to be greater than or equal to 100 pieces. Since she can't order partial rolls, Sofia needs to reserve 7 additional rolls. And each roll costs $8, so ordering 7 additional rolls costs 7 ⋅ $8 = $56.

︶꒦︶꒷︶︶ʚ♡ɞ︶︶꒷︶꒦︶

♡ Tips! ♡

✦ || No Tips Provided!ヽ(>∀<☆)ノ

Answer:

∠T ≅ ∠A

Step-by-step explanation:

Since, ∆MTW ≅ ∆CAD

Therefore, ∠T ≅ ∠A (cpct)

Answer:

a) 7b+6=97

b)b=13

Step-by-step explanation:

Total cost = $97

Cost of each book = $7

Cost of shipping =$6

Therefore ,

Cost of the total no. of books+ Cost of shipping = Total Cost

=>7b+6= 97   <------- Answer to part(a)

=>7b=97-6

=>7b=91

=>b=13

No. of books = 13 <--------- Part (b)

Answer:

Amount of material for chain link = 30 feet

Amount of material for rope = 50 feet

Step-by-step explanation:

Let the amount of chain link = X

The amount of rope be represented by Y

He bought a total of 80 feet of materials

Hence we have:

X + Y = 80 ....... Equation 1

Y = 80 - X

The chain-link cost two dollars per foot and the rope cost 1.50 per foot he spent a total of $135

X × $2 + Y × $1.50 = $135

2X + 1.5Y = 135 ......Equation 2

Substitute 80 - X for Y in Equation 2

2X + 1.5(80 - X) = 135

2X + 120 - 1.5X = 135

Collect like terms

2X - 1.5X = 135 - 120

0.5X = 15

X = 15/0.5

X = 30 feet

Substitute 30 feet for X in Equation 1

X + Y = 80 ....... Equation 1

30 + Y = 80

Y = 80 - 30

Y = 50 feet

Hence the amount of material he used for the chain link = 30 feet and the amount of material he used for the rope was = 50 feet

Answer:

[tex]B = 325[/tex]

Step-by-step explanation:

Given

Total = 900

Singing = 600

Dancing = 500

None = 125

Required

Determine the number of students that participate in both

Representing; Singing with S, Dancing with D, Both singing and dancing with B and None with N;

In Set Notation;

[tex]Total = (S - B) + (D - B) + N + B[/tex]

Substitute 900 for Total, 600 for S, 500 for D and 125 for N

[tex]900 = (600 - B) + (500 - B) + 125[/tex]

Open Brackets

[tex]900 = 600 - B + 500 - B + 125 + B[/tex]

Collect Like Terms

[tex]900 = 600 + 500 + 125 - B - B + B[/tex]

[tex]900 = 1225- B - B + B[/tex]

[tex]900 = 1225- B[/tex]

Collect Like Terms

[tex]900 - 1225 = -B[/tex]

[tex]-325 = -B[/tex]

Multiply both sides by -1

[tex]-1 * -325 = -B * -1[/tex]

[tex]325 = B[/tex]

Reorder

[tex]B = 325[/tex]

Hence, the number of students that do not participate in both is 325

Answer:

16/33

Step-by-step explanation:

We have a bag of :

9 red marbles

6 blue marbles

7 green marbles

11 yellow marbles

Total number of marbles = 33 marbles.

The possibility that a red or green marble will be selected from a bag

P( Red or Green) = P(Red) + P(Green)

In the question we are not told if it is with replacement or without. We do both

With replacement

P( R or G) = P(Red) + P(Green)

P(Red)= 9/33

P(Green) = 7/33

= 9/33 + 7/33

= 16/33

Therefore, the possibility that a red or green marble will be selected from a bag is 16/33

Answer:

C

Step-by-step explanation:

10×-28=-280

35-8=27

35×(-8)=-280

10x²+27x-28

=10x²+(35-8) x-28

=10x²+35x-8x-28

=5x(2x+7)-4(2x+7)

=(2x+7)(5x-4)

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

Explanation:

One way we can factor is through use the of the quadratic formula.

Let [tex]10x^2+27x-28 = 0[/tex]

For now, the goal is to find the two roots of that equation.

Plug a = 10, b = 27, c = -28 into the quadratic formula

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(27)\pm\sqrt{(27)^2-4(10)(-28)}}{2(10)}\\\\x = \frac{-27\pm\sqrt{1849}}{20}\\\\x = \frac{-27\pm43}{20}\\\\x = \frac{-27+43}{20} \ \text{ or } \ x = \frac{-27-43}{20}\\\\x = \frac{16}{20} \ \text{ or } \ x = \frac{-70}{20}\\\\x = \frac{4}{5} \ \text{ or } \ x = -\frac{7}{2}\\\\[/tex]

The two roots are x = 4/5 and x = -7/2

For each root, rearrange the equation so we have 0 on the right hand side, and it's ideal to get rid of the fractions

x = 4/5

5x = 4

5x-4 = 0 gives us one factor

and

x = -7/2

2x = -7

2x+7 = 0 gives the other factor

The two factors are 5x-4 and 2x+7

Note how (5x-4)(2x+7) = 0 leads to the two separate equations of 5x-4 = 0 and 2x+7 = 0 due to the zero product property. Solving each individual equation leads to the two roots we found earlier.

Alternative methods to solve this problem are the AC factoring method (which leads to factor by grouping), using the box method, or you could use guess and check.

Answer: