After a 13% price reduction, a boat sold for $25,230. What was the boat's price before the reduction? (Round to the nearest cent, if necessary.) Group of answer choices

Answer:

[tex]44[/tex]

Step-by-step explanation:

The dimensions of the garden is 12 by 8. If we have a walkway that surrounds the garden, the dimensions of the walkway is 2. Since it surrounds the rectangle all sides add 2 to each of the dimensions so now the dimensions of the garden and walkway is 14×10.

The area of the garden is 96 square ft.

The area of the garden and walkway is 140 so let subtract the area of the garden from the total area of both the garden and walkway.

[tex]140 - 96 = 44[/tex]

The area is 44.

Answer:

120 square feet

Step-by-step explanation:

(8+2*2)

(18+2*2) - 8*18 = 120 square feet.

Answer:

Q1 = 32.5

Q3 = 50

D2 = 29

D8 = 52

67th percentile = 46.5

Step-by-step explanation:

Given the ordered data:

13, 13, 13, 20, 26, 29, 32, 33, 34, 34, 35, 35, 36, 37, 38, 41, 41, 41, 45, 46, 47, 47, 48, 52, 54, 55, 56, 62, 67, 82

The first quartile :

Q1 = 1/4(n+1)th term

n = sample size = 30

Q1 = 1/4(31) = 7.75 = (7th + 8th) / 2 = (32+33) / 2 = 32.5

Q3 = 3/4(n+1)th term

n = sample size = 30

Q3 = 3/4(31) = 23.25 = (23rd + 24th) / 2 = (48+52) / 2 = 50

D2 = 2nd decile

2 * 10% = 20%

20% * n

0.2 * 30 = 6th = 29

D8 = 8th decile

8 * 10% = 80%

80% * 30 = 24th = 52

67th percentile :

0.67 * 30 = 20.1 th

(20th + 21th) / 2

(46 + 47) / 2

= 46.5

Answer:

60:100, 6/10, 3/5, 6 to 10, etc.

Step-by-step explanation:

You take the number of girls over total students which is boys + girls. Since there's 40 boys and 60 girls, it's 60 girls to 100 students which can be written in several ways.

Answer:

60:100 / 3:5

Step-by-step explanation:

You first add the total number of students which is (40boys + 60girls) which gives us 100 students.

Then arrange the ratio of girls to students as per the question that is 60:100, reduce it to its lowest term that is dividing the ratio by 20, and finally got 3:5

Answer:

x + y = 30

y = 2x

Step-by-step explanation:

x = number of ounces of lemon juice

y = number of ounces of linseed oil

How much of each ingredient is needed to make 30 oz of floor wax?

x + y = 30

The amount of oil should be twice the amount of lemon juice.

y = 2x

Answer:

x + y = 30

y = 2x

Answer:

12

Step-by-step explanation:

Answer:

The fabric needs 196.4 ft²

Step-by-step explanation:

∵ The tent formed formed from 4 faces

 two equilateral triangles with side length 7 ft

 two rectangles with dimensions 11 ft and 7 ft

∵ Area equilateral Δ = 1/4 S²√3

∵ Area rectangle = L × W

∴ The area of the prism = 2 × 1/4 × (7)²√3 + 2 × 7 × 11

                                       = 196.4 ft²

Note:

If you find the area of the triangle by the rule 1/2 × base × height

∴ Area Δ = 1/2 × (7) × 6 = 21 ft²

∴ Area tent = 2 × 21 + 2 × 77 = 196 ft²

Two answer very closed

Answer:

273 ft^2 (apparently you have to cover the ground)

Step-by-step explanation:

Answer/Step-by-step explanation:

Given:

f(x) = 2x + 2

Domain = {-5, -1, 2, 3}

To write the range of f using set notation, substitute each domain value into f(x) = 2x + 2 to get each corresponding range value that will make up the set.

Thus:

✔️f(-5) = 2(-5) + 2

= -10 + 2

f(-5) = -8

✔️f(-1) = 2(-1) + 2

= -2 + 2

f(-1) = 0

✔️f(2) = 2(2) + 2

= 4 + 2

f(-1) = 6

✔️f(3) = 2(3) + 2

= 6 + 2

f(3) = 8

Range of f using set notation = {-8, 0, 6, 8}

✔️Graph f by plotting the domain values on the x-axis against the corresponding range values on the y-axis as shown in the attachment below:

*See attachment for the graph of f

Answer:

[tex]x^{2}[/tex] + 7x + 12

Step-by-step explanation:

The area of a parallelogram is A = bh, where the base is the length.

To solve this, you have to multiply 4 + x and x + 3.

(4 + x)(x + 3)

If you factor this more, it should be equal to:

[tex]x^{2}[/tex] + 3x + 4x + 12.

This simplified is equal to:

[tex]x^{2}[/tex] + 7x + 12.

A es aaaaaaaaaaaaaaaaaaaaaaa

Answer:

A) Hence, the number of coffee cups that are risky = 17.4 Cups.

B) Here, the number of coffee cups that are risky = 59.5 Colas.

Step-by-step explanation:

A)

In 1 cup coffee  =[tex]8\times21.5mg= 172.0 mg[/tex]

Hence one cup of coffee contains 172 mg of caffeine. The risky level is 3000mg.

Therefore, the number of coffee cups that are risky

                                                         [tex]= 3000/172\\ \\=17.4 cups[/tex]

Here, the number of coffee cups that are risky = 17.4 cups.

B)

[tex]1 cola=12\times4.2mg\\\\ = 50.4mg / day[/tex]

Hence, one can cola contains 50.4 mg of caffeine.

The dangerous level is 3000 mg.

Therefore, the number of cola cans that are risky [tex]=3000/50.4= 59.5[/tex] cola is risky.

Answer:

answer is C

Step-by-step explanation:

General equation of a line is expressed as shown:

y = mx+c where;

m is the slope or gradient of the line

c is the intercept of the line

Given the equation of the line graph as y =2.5x

Comparing the given equation with the general equation, it is seen that m = 2.5 and c = 0 (since there is no value for the intercept)

Based on the explanation, the y-intercept of the graph is therefore 0

Answer:

B

Step-by-step explanation:

To find the x-intercept, substitute in

0 for y and solve for x

To find the y-intercept, substitute in 0 for x and solve for y

x-intercept(s): None

y-intercept(s): (0,1)

Answer:

64

Step-by-step explanation:

[tex]\sqrt[3]{512} = 8\\8x8 = 64[/tex]

Answer in fraction form is 1/3

Answer in decimal form is 0.3333

Pick one answer only.

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

Explanation:

The sample space is the set of all possible outcomes. In this case, the outcomes consist of values between 1 and 6

S = sample space

S = {1,2,3,4,5,6}

There are 6 items here. Let B = 6.

We want to roll a number greater than 4, so the event space we're after is

E = {5,6}

which consists of 2 items. Let A = 2.

The probability we want is A/B = 2/6 = 1/3 = 0.3333

So if you go with the fraction option, then you'll type in 1/3

If you go with the decimal option, then you'll type in 0.3333

Answer:

AAS

Step-by-step explanation:

It will be angle angle side because you are given a side and two angles, and when you put them in the correct order, you will get AAS, or SAA (not the correct way to say it)

Answer:

922.868

Step-by-step explanation:

[tex]942.600-19.732=922.868[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

The perimeter is the sum of the side lengths. Here, the bottom side is broken into two parts, so that side length is the sum of the parts. The area is given by the formula for the area of a triangle.

  perimeter = 24 m +40 m + 37 m + 20 m = 121 m

  area = 1/2bh = 1/2(20 m +37 m)(14 m) = 399 m²

Answer:

6%

Step-by-step explanation:

Answer:

you need to divide 120 by 5

Step-by-step explanation:

the percentage is 16.6 and it goes on that is for 1 year

Answer:

(5 7 11 12 13 14)

Step-by-step explanation:

Q inter R = 7 and 11

So the union between p and 7 and 11 is the answer above

Answer:

3rd triangle can be constructed with dimensions 2,6,7.

Step-by-step explanation:

sum of any two sides > third side.

difference of any two sides < third side

1.

8+5=13 not >14 (no triangle.)

2.

7+8=15 not >15 (no triangle)

3.

2+6=8>7

2+7=9>6

7+6=13>2

7-2=5<6

7-6=1<2

6-2=4<7

so it is a triangle.

4.

6+3=9 not >10 (not a triangle)

Answer:

Yes, it is possible to have  a relation on the set {a, b, c} that is both symmetric and transitive but not reflexive

Step-by-step explanation:

Let

Set A={a,b,c}

Now, define a relation R on set A is given by

R={(a,a),(a,b),(b,a),(b,b)}

For reflexive

A relation is called reflexive if (a,a)[tex]\in R[/tex] for every element a[tex]\in A[/tex]

[tex](c,c)\notin R[/tex]

Therefore, the relation R is  not reflexive.

For symmetric

If [tex](a,b)\in R[/tex] then [tex](b,a)\in R[/tex]

We have

[tex](a,b)\in R[/tex] and [tex](b,a)\in R[/tex]

Hence, R is symmetric.

For transitive

If (a,b)[tex]\in R[/tex] and (b,c)[tex]\in R[/tex] then (a,c)[tex]\in R[/tex]

Here,

[tex](a,a)\in R[/tex] and [tex](a,b)\in R[/tex]

[tex]\implies (a,b)\in R[/tex]

[tex](a,b)\in R[/tex] and [tex](b,a)\in R[/tex]

[tex]\implies (a,a)\in R[/tex]

Therefore, R is transitive.

Yes, it is possible to have  a relation on the set {a, b, c} that is both symmetric and transitive but not reflexive.

Answer:

number 1: no

number 2: no

number 3: no

Answer:

∠DFE

Step-by-step explanation:

Complementary angles are angles that have a sum of 90°. Since there is a box on angle ∠CFB, we can infer that ∠CFE is also 90°. This is because the two are supplementary (equal 180°). Therefore, ∠DFE is the other part of ∠CFD that would complete the 90° pair.

Hello,

[tex]\widehat{A}=180^o-24.4^o-103.6^o=52^o\\\\\dfrac{sin(24.4^o)}{37.3} =\dfrac{sin(103.6^o)}{c} \\\\\\c=87.760246\approx{87.8}\\\\\\\dfrac{sin(52^o)}{a} =\dfrac{sin(24.4^o)}{37.3} \\\\\\a=71.1510189...\approx{71.2}\\[/tex]

Answer:

option B is correct

interior angle of given polygon =156

exterior angle of polygon=180 - 156 =24

as we know that sum of exterior angle of any polygon is 360 degree

so number of sides of regular polygon=360/24=15

Answer:

option B. 15

Step-by-step explanation:

Sum of interior angles of a polygon with n sides  =  ( n - 2 ) x 180°

Therefore each interior angle,

                                  [tex]\frac{n - 2}{n} \times 180^\circ[/tex]

Given the interior angles = 156°

That is ,

                         [tex](\frac{n-2}{n}) \times 180 = 156\\\\\frac{n-2}{n} = \frac{156}{180}\\\\1- \frac{2}{n} = \frac{156}{180}\\\\1 - \frac{156}{180} = \frac{2}{n}\\\\\frac{180-156}{180} = \frac{2}{n}\\\\\frac{24}{180} = \frac{2}{n}\\\\24 \times n = 2 \times 180\\\\n = \frac{2 \times 180}{24} =\frac{180}{12} = 15[/tex]

Answer:

[tex] \large{ \tt{❁ \: S \: O \: L \: U \: T \: I \: O \: N : }}[/tex]

[tex] \large{ \tt{✽ \: m \: \angle \: RQP = m \: \angle \: RQH + m \: \angle \: HQP}}[/tex]

[tex] \large{ \tt{⇾ \: 152 \degree = \: m \: \angle \: \: RQH + 95 \degree}}[/tex]

[tex] \large{ \tt{⇾ \: 152 \degree - 95 \degree = m \: \angle \: RQH}}[/tex]

[tex] \boxed{ \large{ \tt{⇾ \: 57 \degree = m \: \angle \: RQH}}}[/tex]

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