Marge has 4 more than 2 times as many books as Susan. If Marge has 22 books and x is the number of books that Susan has, the relationship can be written as 4 + 2x = 22. How many books does Susan have?

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 :)

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:

B

Step-by-step explanation:

Answer: D

Step-by-step explanation: To find the area of a triangle, you multiply the base and the height, then divide by 2, but because there are 4 triangles, you can multiply 12 and 14, and then multiply again by 2. For the square, 12 times 12 is 144, when you add 336 (the area of the triangles) and 144 (the area of the square), you get 480.

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.

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:

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:

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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Using the Remainder Theorem, the remainder when the polynomial 3x³-14x²-14x+3 is divided by 3x + 5 is found to be 7 after evaluating the dividend at the root of the divisor, which is -5/3.

The question asks for the remainder when the polynomial 3x³-14x²-14x+3 is divided by 3x + 5. To find the remainder, you can perform polynomial long division or use the Remainder Theorem. Since the divisor is linear, the Remainder Theorem states that the remainder is equal to the value of the dividend evaluated at the root of the divisor. The root of 3x + 5 is -5/3. Plugging this value into the dividend:

(3×(-5/3)³ - 14×(-5/3)²- 14×(-5/3) + 3).

After calculating, we find that the remainder is 7. Thus, when the given polynomial is divided by 3x + 5, the remainder is 7.

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:

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:

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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Answer:

0=1

1=4

2=7

Step-by-step explanation: Just substitute the 'x' in y=3x+1 with the number in the table (i.e 0, y=3*0+1= 1) and so forth

The table in the image is a table for the equation y = 3x + 1. It shows the values of y for different values of x.

Here is the table in text format:

x y

0 1

1 4

2 7

We can check that the values in the table are correct by substituting the values of x into the equation y = 3x + 1.

For example, if we substitute x = 0, we get y = 3(0) + 1 = 1, which is the value in the table.

The table can be used to graph the equation y = 3x + 1.

To do this, we plot the points (x, y) in the table on a coordinate plane.

The points will form a straight line.

Here is a graph of the equation y = 3x + 1:

graph of y = 3x + 1

graph of y = 3x + 1

The y-intercept of the graph is 1.

This means that the line passes through the point (0, 1).

The slope of the graph is 3.

This means that for every 1 unit that x increases, y increases by 3 units.

The graph can be used to solve for y for any given value of x.

For example, if we want to solve for y when x = 3, we can find the point on the graph where x = 3 and read off the corresponding value of y.

The point is (3, 10), so y = 10 when x = 3.

For similar question on equation.

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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:

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.

Answer: 30/a

Step-by-step explanation:

Quotient means to divide. So the quotient of 30 and another number would be 30/a

Answer:

30/a

Step-by-step explanation:

Answer:

16r+8

Step-by-step explanation:

You multiply 4r×4= 16r

Then 4×2=8

That's how you get the answer 16r+8

Answer:

.375

Step-by-step explanation:

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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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

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

Answer:

The domain is 6, and the range is 72.

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].

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

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

yes, because 46.2/6 = 7.7 ounces and 107.8/14 = 7.7 ounces

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

45 divided by 7 = 6 3/7

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

The volume of the tent is 46.67 ft³

Explanation:

Given that the rectangular base is 35 square feet.

The height of the pyramid is 4 feet.

We need to determine the volume of the tent.

The volume of the tent can be determined using the formula,

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

where B = 25 and h = 4

Substituting these values in the above formula, we get,

[tex]Volume = \frac{1}{3} (35\times 4)[/tex]

Multiplying the numerator, we get,

[tex]Volume= \frac{140}{3}[/tex]

Dividing, we get,

[tex]Volume =46.6667 \ ft^3[/tex]

Rounding off the value to the nearest hundredth, we have,

Volume = 46.67 ft³

Therefore, the volume of the tent is 46.67 ft³