The following table lists the masses, in grams, of the eight planets and the dwarf planet Pluto. Use the data to choose the correct answers in the item below.

Uranus has a mass that is approximately___ times greater than Mercury's.
1. 3,000
2. 300
3. 30
4. 3

Uranus's mass = 8.61 x 10^28
Mercury's mass = 3.302 x 10^26

Answer:

Rita

Step-by-step explanation:

Everyone else is further from Rita.

By calculating the cost per shrub at both the nursery and the garden store, then multiplying by 21 shrubs, we find that Kevin saves $21.00 by purchasing from the garden store instead of the nursery.

Kevin is trying to decide between two stores to purchase a total of 21 shrubs for his yard. In order to calculate how much money Kevin can save by choosing the garden store over the nursery, we will need to determine the cost per shrub at each location and then multiply by the total number of shrubs Kevin wants to purchase.

At the nursery, six shrubs cost $72.00, which means each shrub costs $72.00 ÷ 6 = $12.00.

For 21 shrubs, the cost at the nursery would be 21 × $12.00 = $252.00.

At the garden store, six shrubs cost $66.00, which gives us a cost of $66.00 ÷ 6 = $11.00 per shrub.

Therefore, for 21 shrubs, the total cost would be 21 × $11.00 = $231.00.

Now, let's find out the savings if Kevin buys from the garden store instead of the nursery: $252.00 - $231.00 = $21.00.

Thus, Kevin will save $21.00 by purchasing the shrubs from the garden store.

To find out what percent of the people at the beach have white towels, we can take the sum of the percents and subtract them from 100. In other words, we can add up the percents of both the red and the blue towels and subtract the sum from 100%.

45 + 15 = 60

100 - 60 = 40

Therefore, 40% of the people at the beach have a white towel.

Answer:

40%

Step-by-step explanation:

At the beach, 45% of people have red towels and 15% have blue towels. If the  rest have white, 40% of the people at the beach have white  towels.

In order to find the answer, you have to do the following steps:

45% + 15% = 60%

100%  - 60% = 40%

Therefore, the answer is 40%.

Answer:

Step-by-step explanation:

2.

Step where it was wrong ->

x-8 = 0

x=-8

They just put negative eight on the right side you have to cancel negative 8 out by adding negative 8 on both sides.

x-8=0

+8   +8

x=8 <- Right solution.

3.

Step where it was wrong ->

8(p-7) = 75

8p-7=75

Distributive Property you have to do 8 times p and 8 times -7, they just did 8 times p and forgot to do 8 times -7.

8(p-7)=75

8p-56=75     <- Do 8 * -7 in addition of doing 8 *p

8p=131

/8   /8

p = 16.735 or 131/8

Answer:

(3,2)

Step-by-step explanation:

The system is

x + y = 5

x -y = 1

Add the equations to eliminate y

2x = 6----->x=3

Substitute this value in any equation

3+y = 5----->y=2

The solution is (3,2)

Answer: The numbers are 7 and 17

Step-by-step explanation: twice of 7 is 14 and 3 + 14 = 17

Since you want a negative cosine, your angle will surely lie in the II or III quadrant.

In particular, in the II quadrant, the cosine is negative and the sine is positive, so you surely have [tex]\sin(\theta)>\cos(\theta)[/tex]

As for the third quadrant, we start with

[tex]\sin(\pi)=0,\quad\cos(\pi)=-1[/tex]

(which implies that the sine is greater than the cosine) and we end with

[tex]\sin\left(\dfrac{3\pi}{2}\right)=-1,\quad\cos\left(\dfrac{3\pi}{2}\right)=0[/tex]

which implies that the sine is less than the cosine.

Halfway through, we have

[tex]\sin\left(\dfrac{5\pi}{4}\right)=\cos\left(\dfrac{5\pi}{4}\right)=\dfrac{\sqrt{2}}{2}[/tex]

So, only the first half of the III quadrant is fine, because sine and cosine are both negative, but the sine is "less negative" than the cosine, so we have, as requested,

[tex]\begin{cases}\sin(\theta)>\cos(\theta)\\\cos(\theta)<0\end{cases}[/tex]

So, the final answer is that the angle lies in the interval

[tex]\dfrac{\pi}{2}<\theta<\dfrac{5\pi}{4}[/tex]

Answer:

[tex]\theta\in\left(\pi+2k\pi;\ \dfrac{3\pi}{4}+2k\pi\right)[/tex]

Step-by-step explanation:

I think correct inequality is

[tex]\cos\theta<\sin\theta<0[/tex]

The easiest way is to draw graphs of sine and cosine functions in one coordinate system and read a set of solutions from the graph (look at the picture).

We need to solve the equation

[tex]\sin\theta=\cos\theta[/tex]

to get the intersection points of the graphs.

[tex]\sin\theta=\cos\theta\qquad\text{divide both sides by}\ \cos\theta\neq0\\\\\dfrac{\sin\theta}{\cos\theta}=1\to\tan\theta=1\to\theta=\dfrac{\pi}{4}+k\pi,\ k\in\mathbb{Z}[/tex]

We look at where the sine function graph is above the cosine function graph.

Answer:

0.85

Step-by-step explanation:

1/20=0.05

0.05*17=0.85

17/20 as a decimal would be 0.85

Answer:

269

Step-by-step explanation:

1) Substitute in the given values for each variable:

6(3)+23+(7)(33)-3

2) Simplify:

18+23+231-3

3) Simplify again:

269

Answer:

max showed less improvement!

Step-by-step explanation:

Max percentage improvement in the first exam = (6/30 × 100) %

= (600/30) %

= 20 %

Maria percentage improvement in the first exam = (30/60 × 100) %

= (3000/60) %

= 50 %

Hence, 20 % < 50 %

Final answer:

Max improved by 6 marks from his previous score, while Maria improved by 30 marks. Therefore, Max showed less improvement than Maria.

Explanation:

Max scored 6 marks higher than his previous score of 30, making his new score 36. Maria scored 30 marks more than her previous score of 60, taking her new score to 90. To determine who showed less improvement, we compare the amount of increase in their scores.

Max's improvement: 30 + 6 = 36

Maria's improvement: 60 + 30 = 90

Max improved by 6 marks, and Maria improved by 30 marks. Therefore, Max showed less improvement.

When comparing improvement, it's useful to look at the actual increase in marks gained, not necessarily the percentage improvement unless specifically asked. Here, the simple comparison of the additional marks scored determines who improved less. Though both students improved their scores, the difference in their points increased is a clear indicator of whose improvement was less significant.

Step-by-step explanation:

Area of parallelogram = ( base ) ( height )

area of parallelogram = ( 2.9 ft ) ( 5.5 ft )

( as given )

area of parallelogram =15.95 ft²

Answer:

(-0.5,1)

Step-by-step explanation:

The half of the diference between the points its equal to its midpoint distance:

[tex](\frac{-3+2}{2},\frac{-5+7}{2} )=(-0.5,1)[/tex]

Answer:

your answer is B

Step-by-step explanation:

Step-by-step explanation:

4x-c=k

4x=c+k

x=(c+k)/4

Answer:

X= K-C/4

Step-by-step explanation:

The -C goes to the K makes it K-C

Then /4 because we need the ex by their self

Lastly we get W=K-C/4

Final answer:

The two consecutive integers whose sum is 373 are 186 and 187. We derived the equations n + (n + 1) = 373 and solved for n to find the first integer.

Explanation:

To find two consecutive integers whose sum is 373, let's denote the first integer as n. The next consecutive integer will be n + 1. When we add these two integers together, their sum should equal 373, which gives us the equation:

n + (n + 1) = 373

Simplifying this equation, we get:

2n + 1 = 373

To solve for n, we subtract 1 from both sides of the equation:

2n = 372

Divide both sides by 2:

n = 186

So the first integer is 186. The next consecutive integer is:

n + 1 = 186 + 1 = 187

Therefore, the two consecutive integers that sum to 373 are 186 and 187.

Answer:

0.007%

Step-by-step explanation:

This is the answer because I need points to answer a question

Answer:

99.9468 %

Step-by-step explanation:

The total percentage of the diamond and gold is:

0.0042 %  + 0.049%  = 0.0532%

The percentage of other metal that is neither gold or diamond = 100 - 0.0532

                                                                                                         = 99.9468 %

Answer:

the answer is 0.5

Step-by-step explanation:

Answer:

-2.3

Step-by-step explanation:

Don't forget to move the decimal

Answer:

x = 42

Step-by-step explanation:

x/7 + 9 = 15

=> x/7 = 15 - 9

=> x/7 = 6

=> x = 6(7)

=> x = 42

Answer:  [tex]\bold{\dfrac{16}{3}}[/tex]

Step-by-step explanation:

Inverse variation uses the formula: xy = k

We are given that x = 2 and y = 8, so k = 16

Now, let's find x when y = 3 and k = 16

[tex]x(3)=16\\\\x=\dfrac{16}{3}[/tex]

Answer:

Tom is at the grocery store and is buying 3 treats. Each treat costs him 7 dollars. He is also purchasing a drink for 5 dollars. What is the total amount he is spending?

Answer:

The mean is the average you're used to, where you add up all the numbers and then divide by the number of numbers. The median is the middle value in the list of numbers. The mode is the value that occurs most often.

Mean is all the numbers together in total so in order to get the mean you just add up all the numbers then divide by the total amount of numbers in that set.

Median in order to find the median you rearrange the numbers least from greatest and find the average from the two numbers in the middle of the set 2,2,2,2,2,4,5,5 21, in this case 2 because it's the number in the middle.

Mode in a set of numbers the mode is the most occurring of numbers 2,2,2,4,5,21,2 2,5 which would be 2 in this case.

Hope this helps.

Answer:

862

Step-by-step explanation:

Step-by-step explanation:

first 3(-x+5) you distribut

then you would get 15-3x+15=21+6x and u combine like terms which is 3x and 6x which is 9 and u get 15-9x+15=21tthen u sabtract 15x on both side and get 15-9=21 then u subtract 15 ok both side and get x = 0.7

Answer:

The strategy to evaluate these expressions is called PEMDAS.

Step-by-step explanation:

[tex]15-[(3^2+6)\div5][/tex]

We're going to be following the rule of PEMDAS:

Keep in mind that multiplication/division and addition/subtraction are done from left to right.

In the first expression (written above), we'll first evaluate everything inside the brackets first (brackets are used when there are parentheses inside of it - but they serve the same function). There are parentheses in these brackets, so that will be the absolute first step in evaluating.

Solve for [tex]3^2+6[/tex] then rewrite the expression.

Now finish evaluating inside the parentheses by dividing 15 by 5.

The last step to evaluate the expression is to subtract 3 from 15.

[tex]4\times[50-3(1+3)^2][/tex]

Evaluate everything inside the the brackets. Start with the parentheses since that is first according to PEMDAS. Add 1 and 3 together then rewrite the expression.

Exponents are solved next after parentheses in PEMDAS, so evaluate the exponent.

Multiplication is done before subtraction, so multiply 3 and 16 together.

Finish evaluating inside the brackets by subtracting 48 from 50.

The last step in evaluating the second expression is to multiply 4 and 2 together, which gives us 8.

Answer:

200 mm^2

Step-by-step explanation:

Area of the rectangle = 2 * 25 = 50 mm^2.

Area of the triangle = 1/2 * 20 * 15

= 1/2 * 300

= 150 mm^2.

Total area = 150 ^ 50 = 200 mm^2.

The angles of 115 degrees and (52+x) are the same, because they are alternate interior angles.

Answer:

62º + x = 115º

because AB and CD are parallel, which means 115º and 62+x are "alternate angles"

ALTERNATE ANGLES

Step-by-step explanation:

Answer:

a. $500

b. $250

Step-by-step explanation:

a. For zero items produced, cost will be-

[tex]C(0) = 10(0) + 500 = 0 + 500 = 500[/tex]

b. For zero items produced, cost will be-

[tex]C(25) = 10(25) + 500 = 250 + 500 = 750[/tex]

c. If [tex]C(x)_{max} = 1500[/tex]

[tex]10x + 500 = 1500\\10x = 1000\\x = 100[/tex]

∴ domain for cost function will be [tex][0,100][/tex] and range will be 100

Answer: A) fixed cost is $500

B) Cost of making 25 items is $750

C) Domain: [0,100]

Range :[500,1500]

I got 100% on test with these answers