(8y3 – y + 7) – (6y3 + 3y - 3)

1. Simplify 2/3x to 2x/3

2x/3 = 4

2. Multiply both sides by 3

2x = 4 * 3

3. Simplify 4 * 3 to 12

2x = 12

4. Divide both sides by 2

x = 12/2

5. Simplify 12/2 to 6

x = 6

Answer:

0.875

Step-by-step explanation:

Answer:

0.875

Step-by-step explanation:

it is as simple as dividing 7 by 8

7/8=0.875

Answer:

Step-by-step explanation:

Figure out what each fraction is equivalent their decimal. Then you plot it based on the decimal

2 7/8 is 2.9 so you go past the 2 and go 9 points and plot it

1 1/4 is 1.3  so you go past the 1 and plot 3 points further

Answer:

2.875 and 1.25

Step-by-step explanation:

2 7/8= 2.875

1 1/4= 1.25

Answer:

No because it will take her 3 1/3 hours to finish it

Step-by-step explanation:

So first you would do 1/6x2

That will equal 1/3

Then you will do 1/3x10

which will equal 10/3

Then you change it to a mixed number and that will get you 3 1/3

Answer:

no

Step-by-step explanation:

Answer:

20 people

Step-by-step explanation:

the ratio is 8:6 so x:15 you need to find x.

8:6 can be simplified to 4:3 muliplied by 5 on both sides is;

20:15

The number of people that take to eat 15 bags will be 20.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Let x be the number of people that take to eat 15 bags.

If 8 people can eat 6 bags of chips. Then the ratio of people and number of chips in the bag will be given as,

x / 15 = 8 / 6

x = 20

Thus, the number of people that take to eat 15 bags will be 20.

More about the ratio and the proportion link is given below.

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The volume of the solid generated by the revolution is 33.5 cubic units.

Step-by-step explanation:

It is given that, the diameter of the semi-circle is 4 and it is rotated to one full rotation around its diameter.

A solid generated when a semicircle is being rotated about its diameter is called a "SPHERE".

Therefore, the volume of the solid generated by the revolution is the volume of the sphere.

The formula for volume of the sphere is given by,

Volume of sphere = (4/3)πr³

where, r is the radius and π has the default value of 3.14

Here, the given diameter is 4.

To find the radius = diameter/2

radius = 4/2 = 2.

Now, to calculate volume of sphere substitute r=2 and π=3.14

volume of the sphere = (4/3)×3.14×2³

⇒ (4/3)×3.14×8

⇒ 100.48 / 3

⇒ 33.49 (approximately 33.5)

Therefore, the volume of the solid generated by the revolution is 33.5 cubic units.

Answer:

1296

Step-by-step explanation:

Note there is a common ratio between consecutive terms of y, that is

36 ÷ 6 = 216 ÷ 36 = 6

Thus to find a term, multiply the previous term by 6

216 × 6 = 1296

Final answer:

The probability that Kara's next roll is either a 3 or a 6 is 1/3.

Explanation:

The question asks about the probability of rolling either a 3 or a 6 on a six-sided die based on previous rolls. The previous rolls are as follows: 1, 3, 3, 4, 6, 2, 2, 5, 3, 4. It is important to understand that each roll of a die is an independent event, meaning the outcome of one roll does not affect the outcomes of any other rolls.

Therefore, the results of Kara's previous rolls do not impact the probability of future rolls.

To determine the probability of rolling either a 3 or a 6, we consider that a six-sided die has six equally likely outcomes.

The probability of rolling a specific number, like a 3 or a 6, is therefore 1/6.

Since these are two separate outcomes, we add their individual probabilities to determine the probability of rolling either a 3 or a 6:

Probability of rolling a 3 = 1/6
Probability of rolling a 6 = 1/6
Total probability of either a 3 or 6 = 1/6 + 1/6 = 2/6 or 1/3.

Thus, the probability that Kara's next roll is either a 3 or a 6 is 1/3.

Answer:

An outlier contains a value that's much greater than or much but other data within the set. An outlier may significantly affect the mean of a knowledge set. ... Features like clusters, gaps, and outliers are more easily seen when the information are shown on a line plot

Step-by-step explanation: plz mark brainest

Have a good day :)

Answer:

[tex]ratio=\frac{1}{3}[/tex]

Step-by-step explanation:

step 1

Find the volume of the cone

The volume of the cone is equal to

[tex]V_c=\frac{1}{3}Bh[/tex]

where

B is the area of the circular base

h is the height of the cone

step 2

Find the volume of the prism

The volume of the cone is equal to

[tex]V_p=Bh[/tex]

where

B is the area of the base of the prism

h is the height of the prism

step 3

Find the ratio of the volume of the cone to the volume oft the prism

[tex]ratio=\frac{V_c}{V_p}[/tex]

substitute the values

[tex]ratio=\frac{\frac{1}{3}Bh}{Bh}[/tex]

simplify

[tex]ratio=\frac{1}{3}[/tex]

Answer:

It's option B on plato

Step-by-step explanation:

1.

Choice A is not exponential growth or decay because the cost will go up by the same amount ($2) each time. Choices B and C are exponential, but they aren't growth functions. Rather, they are decay functions. A disease spreads exponentially because one person infects two, and then each of those two people infect two others (making 4 additional people infected), and so on.

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

2.

Assuming the treatment works and it is effective, then the cancer cells will go away over time. One example would be that the population is cut in half each time. Choice A is not an answer because the balance will go down the same amount each time. This is assuming the bus company does not change its prices. Choices B and D are eliminated because they represent growth.

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

3.

I'm unable to answer this because the table is missing.

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

4.

If the y values increase or decrease by the same amount, as x increases by some set amount, then you have a linear function. For example, if x increases by 1 pairs up with y increasing by 4, then the slope is 4/1 = 4 and we have a linear function.

--------

On the other hand, if x increases by 1 couples with the y values multiplying by some set amount, then you have an exponential function.

Example:

Each time x increases by 1, y is multiplied by 5.

Angle 1 is congruent to angles 3, 5, and 7. We know this because vertical angles are congruent (angle 3), as are corresponding angles (angle 5) and alternate exterior angles (angle 7).

Angle 3 is congruent to angles 1, 5, and 7. We know this because vertical angles are congruent (angle 1), as are corresponding angles (angle 7) and alternate interior angles (angle 5).

Angle 4 is congruent to angles 2, 6, and 8. We know this because vertical angles are congruent (angle 2), as are corresponding angles (angle 8) and alternate interior angles (angle 6).

Angle comparison requires measuring each angle with a protractor. Angles are congruent if their measurements are equal. This concept is used in geometry and other fields like physics.

Your question involves identifying and comparing angles, which is a topic in geometry, a branch of mathematics. When determining congruent angles, you need to look at the measure of the angles. Two angles are congruent if they have the exact same measure.

In the problem you provided, to find the congruent pairs, you would have to measure each angle provided with a protractor. If the measure of the angles is equal, then those angles are congruent.

Remember that in a right triangle, the angles are 90 degrees, 45 degrees and 45 degrees. The angles of a straight line sum up to 180 degrees. These are valuable skills which you can use to aspects of physics, specifically when dealing with vectors as you mentioned tail-to-head addition of vectors and the angles between them.

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I believe that the answer is 3+84x is this question wants you to simplify the expression.

Answer:

84x + 3

Step-by-step explanation:

3+3x+9(9x)

First 9 times 9x, which equals 81x

Then add the variables, so 3x + 81x and you get 84x

The equation is left as 84x + 3 because you can't add together a number with a variable and a number without a variable

Answer:

No units

Step-by-step explanation:

The cost function is given by;

[tex]C(x)=x^2-20x+35[/tex]

To find the units manufactured at a cost of $5,560

We equate the C(x) to 5560 and solve for x.

[tex]x^2-20x+35 = 5560[/tex]

[tex]x^2-20x+35 - 5560 = 0[/tex]

[tex]x^2-20x - 5525= 0[/tex]

The discriminant of this equation is negative.

That is,

[tex]d = {( - 20)}^{2} - 4 \times 1 \times - 5560 \: < 0[/tex]

Hence the equation has no real roots.

This means no units can be produced at $5,560

Answer:

Yes, the percent discount (18%) is the same for both levels of membership

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Membership Level  Individual Family

Original Price              50.00      75.00

Discounted  Price        41.00      61.50

2. Is the percent discount  the same for both levels of membership?

A. Let's calculate the discount for the individual membership level, this way:

Discount percent = 100 - (41/50 * 100)

Discount percent = 100 - 82

Discount percent = 18%

B. Let's calculate the discount for the family membership level, this way:

Discount percent = 100 - (61.50/75 * 100)

Discount percent = 100 - 82

Discount percent = 18%

Yes, the percent discount (18%) is the same for both levels of membership.

Answer:

6

Step-by-step explanation:

40*15%=6

Answer:

  68.5

Step-by-step explanation:

Angles DEC and DAC are right angles, so their sum is 180°. DECA is a quadrilateral, which has a sum of interior angles equal to 360°. Then angle ACE is the supplement of angle D:

  ∠ACE = 180° -43° = 137°

Inscribed angle ABE has half the measure of central angle ACE, so we have ...

  x° = 137°/2

  x = 68.5

1. Expand

- 3 - 4m = 28m - 28 - 7m

2. Simplify 28m - 28 - 7m to 21m - 28

- 3 - 4m = 21m - 28

3. Add 4m to both sides

- 3 = 21m - 28 + 4m

4. Simplify 21m - 28 + 4m to 25m - 28

-3 = 25m - 28

5. Add 28 to both sides

- 3 + 28 = 25m

6. Simplify - 3 + 28 to 25

25 = 25m

7. Divide both sides by 25

1 = m

8. Switch sides

m = 1

Answer:

height of tree = 7.68 m

Step-by-step explanation:

ΔABC and      Δ A D E  are similar .  In similar triangles, corresponding sides are always in the same ratio

The height of tree is 6.08 m.

Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value.

Given:

Height of Erin =1.60m

Erin's shadow height = 1.25 m

Tree's shadow height = 4.75 m

Tree's height = x

1.60/1.25 = x /4.75

1.25x = 1.60*4.75

1.25x= 7.6

x= 7.6/1.25

x= 6.08 m

Hence, the height of tree is 6.08 m.

Learn more about direct proportion here:

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Final answer:

The powers of 3 that fall within the range of 3 through 1,000 are 3, 9, 27, 81, 243, and 729.

Explanation:

To find all the powers of 3 that are in the range 3 through 1,000, we need to calculate successive powers of 3 until the result exceeds 1,000. These calculations give us 31=3, 32=9, 33=27, 34=81, 35=243, 36=729, and 37=2187. However, since 2187 is greater than 1,000, we exclude it from our list. Therefore, the powers of 3 that fall within the specified range are 3, 9, 27, 81, 243, and 729.

The form

[tex]y=mx+q[/tex]

is called slope-intercept form. In particular, the coefficient [tex]m[/tex] is the slope, and the constant [tex]q[/tex] is the y-intercept.

In your case, the coefficient of [tex]x[/tex] is [tex]-3[/tex], so that would be your slope.

And your constant term is [tex]8[/tex], so that is your y-intercept.

Answer:

Slope is -3 and y-intercept is 8

Step-by-step explanation:

y = mx + b

m is the slope and b is the y intercept :)

Answer:

For my calculation I got 11.75. Hope this helps can I please get brainliest thanks.

Answer:

11.75

Step-by-step explanation:

The multiplication must be done before the addition:

1/2x1.5+11 => (1/2)(1.5)  +  11, or

                        0.75 + 11  = 11.75

Answer:

.375

Step-by-step explanation:

Answer:

The area of the circle is 248.035 cm.

Step-by-step explanation:

You can use an online calculator to help you next time if you still get these questions.

Solution:

Let "x" be the pounds

Company A charges $2.50 per pound plus a  $20 service charge

Cost : 2.50x + 20 ------ eqn 1

Company B charges $4.50 per pound without any service charge

Cost : 4.50x ------- eqn 2

At what weight does it cost the same for both companies?

For both companies to cost the same, eqn 1 must be equal to eqn 2

2.50x + 20 = 4.50x

4.50x - 2.50x = 20

2x = 20

Divide both sides by 2

x = 10

Thus for 10 pounds, both companies cost the same

Surface area of rectangular prism is [tex]238\ mm^{2}[/tex] .

Step-by-step explanation:

We have net for a rectangular prism.  Surface area of rectangular prism is given by:

Step 1:

We need to calculate area of material needed as shown in figure above, Let's first concentrate on vertical rectangle have width 11 mm and length ( 5 + 4 + 5 +4 ) mm = 18 mm. We know that ,

area of rectangle = length × width

⇒ [tex]area = length(width)\\area = 11(18)\\area = 198\ mm^{2}[/tex]

Step 2:

Now only two horizontal small rectangles are left with dimensions as length =  4 mm and width = 5 mm.

∴ area of rectangle = length × width

⇒ [tex]area = length(width)\\area = 4(5)\\area = 20\ mm^{2}[/tex]

Also there are Two rectangles , so

total area = [tex]2(area) = 2(20) = 40\ mm^{2}[/tex]

Step 3:

Adding area of step 1 and 2 we get : [tex]198\ mm^{2} + 40\ mm^{2} = 238\ mm^{2}[/tex]

∴ Surface area of rectangular prism is [tex]238\ mm^{2}[/tex].

Question

The following table shows the number of goals that the Texas Sharpshooters scored in each of their 8 hockey  games this season.

Based on this data, what is a reasonable estimate of the probability that the Texas Sharpshooters score exactly  1 goal next hockey game?

3, 4,  1, 4, 1, 1, 2, 1

Answer:

The probability that the Texas Sharpshooters score exactly  1 goal next hockey game is 0.5

Step-by-step explanation:

The topic in question is Experimental probability;

Experimental probabilities deal with the probability of an event happening based on past experiments.

Given

Number of observation, n = 8

To calculate an estimate of the probability that the Texas Sharpshooters score exactly  1 goal next hockey game, we need to count the total occurrence of 1 in the given data

Let p = total occurrence of 1

p = 4

The probability is then calculated as [tex]\frac{p}{n}[/tex]

by substitution;

Probability = [tex]\frac{4}{8}[/tex]

Probability = 0.5

Hence, The probability that the Texas Sharpshooters score exactly  1 goal next hockey game is 0.5

45 divided by 7 = 6 3/7

Answer:

green:14.28

red: 14.28

yellow: 28.56

blue: 28.56

purple:14.28

good luck! sorry if this isnt the right answer, i tried!!!

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

3) Radius of shaded circle=1.5 units

Area of shaded circle=pi*1.5^2=2.25*pi=7.0686

Area of big circle=pi*5^2=25pi=78.54

Divide the two together: 7.0686/78.54=0.09 so exactly 9% is the probability

4) Area of whole rectangle: 8*5=40

Area of unshaded region: (2*3)+(2*2)/2=6+4/2=6+2=8

40/8=5, so there's a 5 to 1 chance.