1. In a grocery store , a 12$ case of soda is labeled, "get a 20% discount" What is the discount? What is the sale price of the soda?2. In a candy store, a 5.00$ jar of candy is labeled, "50% off" What is the discount? What is the sale price of the jar candy?

The surface area of the wooden structure is approximately 1012 cm².

To calculate the surface area of the wooden structure, we need to find the surface area of the cone and the surface area of the hemispherical base, and then add them together.

Surface Area of the Cone:

The surface area of a cone is given by the formula:

A_{cone = \(\pi \times r_{cone} \times (r_{cone} + s_{cone})\), \(r_{cone\) is the radius of the base of the cone and \(s_{cone\) is the slant height of the cone.

The vertical height of the cone is 24 cm, and the base radius is 7 cm, we can calculate the slant height using the Pythagorean theorem:

\(s_{cone\) = \(\sqrt{(r_{cone}^2 + h_{cone}^2).\)

Using the given measurements:

\(s_{cone\) = √(7² + 24²) cm

\(s_{cone\) ≈ √(49 + 576) cm

\(s_{cone\) ≈ √625 cm

\(s_{cone\) ≈ 25 cm

Now, we can calculate the surface area of the cone:

\(A_{cone\) = π × 7 cm × (7 cm + 25 cm)

\(A_{cone\) = (22/7) × 7 cm × 32 cm

\(A_{cone\) = 704 cm²

Surface Area of the Hemispherical Base:

The surface area of a hemisphere is given by the formula:

\(A_{hemisphere\) = \(2 \times \pi \times r_{base}^2\), \(r_{base\) is the radius of the base of the hemisphere.

Given that the base radius is 7 cm, we can calculate the surface area of the hemispherical base:

\(A_{hemisphere\) = 2 × (22/7) × (7 cm)²

\(A_{hemisphere\) = (22/7) × 2 × 49 cm²

\(A_{hemisphere\) = 308 cm²

Total Surface Area:

To calculate the total surface area, we add the surface area of the cone and the surface area of the hemispherical base:

Total Surface Area = \(A_{cone} + A_{hemisphere}\)

Total Surface Area = 704 cm² + 308 cm²

Total Surface Area = 1012 cm²

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No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.

A parallelogram is a quadrilateral with opposite sides that are parallel. To determine if the given figure is a rectangle, we need to consider the properties of a rectangle. A rectangle is a special type of parallelogram where all four angles are right angles (90 degrees).

In the given figure, the sides have lengths of 21, 20, 21, and 20 units. Since opposite sides are parallel, it meets the definition of a parallelogram. However, to be a rectangle, the sides must meet at right angles.

Since the figure does not meet this requirement, as the sides of the parallelogram do not meet at right angles, we can conclude that it is not a rectangle. Therefore, the correct answer is "No, it is not a rectangle because the sides of the parallelogram do not meet at right angles."

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Answer:

No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.

Step-by-step explanation:

The answer above is correct.

Answer:

Step-by-step explanation:

Hello!

y = 88° (opposite are equal)

z = 180° - 128° = 52° (straight angle = 180°)

x = 180° - 140° = 40° (straight angle = 180°)

Answer:

x=40°

y=88°

z=52°

Step-by-step explanation:

Solution Given:

x+140°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for x.

x=180°-140°

x=40°

\(\hrulefill\)

y°=88°

Since the vertically opposite angle is equal.

therefore, y=88°

\(\hrulefill\)

z+128°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for z.

z=180°-128°

z=52°

If Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

To represent the number of bags of pears, b, that Natalie sells at the Saturday market, we can use the following equation:

b = total_number_of_pears / pears_per_bag

In this equation, "total_number_of_pears" represents the total quantity of pears Natalie has, and "pears_per_bag" represents the number of pears she puts in each bag.

Given that Natalie has a total of 48 pears, we can substitute the value into the equation:

b = 48 / pears_per_bag

Now, we need to determine the number of pears she puts in each bag. The information provided states that Natalie sells bags of pears, and each bag is sold for $5. However, the specific number of pears per bag is not given. To proceed, we need this information.

Let's assume that Natalie puts 4 pears in each bag. We can substitute this value into the equation:

b = 48 / 4

Simplifying the equation gives:

b = 12

So, if Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

It's important to note that the specific value of "pears_per_bag" will affect the final result. If Natalie puts a different number of pears in each bag, the equation will yield a different number of bags sold.

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Answer:

44

Step-by-step explanation:

Answer: 44

Step-by-step explanation:

This is quite simple, Are you sure you can't do it on your own?

The correct Option is D. 45÷3= 15 . The equation that best shows that 45 is a multiple of 15 is 45 ÷ 3 = 15.

A multiple is a product that results from multiplying two or more numbers.

A common multiple is a multiple that is common to two or more numbers.

A multiple of a number can be expressed as an integer multiple of the number.

If the result is a whole number, the first number is a multiple of the second.

An equation that shows 45 is a multiple of 15 is as follows: 45 ÷ 3 = 15.

A multiple is a number that can be divided by another number without leaving a remainder.

As a result, we divide 45 by 3 to find out whether 45 is a multiple of 15.

If the result is a whole number, 45 is a multiple of 15.

Here is the equation that shows this: 45 ÷ 3 = 15

Thus, we can conclude that the equation that best shows that 45 is a multiple of 15 is  45 ÷ 3 = 15.

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Answer:

1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Step-by-step explanation:

We need to find the factors of 18
which are; 1,18; 2,9; 3,6
So therefore we'd pick:
1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

9514 1404 393

Answer:

  114°

Step-by-step explanation:

Alternate exterior angles 1 and 7 are congruent. Angle 1 has the same measure as angle 7.

  angle 1 = 114°

12 , 1/3 , 7/4

Least common denominator = 12

12= 12/1 = (12*12) / (1*12) = 144/12

1/3 = (1 * 4 ) / (3 * 4 ) = 4/12

7/4 = (7 *3) / (4*3) = 21/ 12

a) The probability of not matching any of the six winning numbers is the probability that all six numbers chosen by the player are not among the six winning numbers. The probability of choosing a number that is not a winning number is 39/45 since there are 45 total numbers and only 6 are winning numbers. The probability of choosing six non-winning numbers is:

(39/45) x (38/44) x (37/43) x (36/42) x (35/41) x (34/40) = 0.4361

hence, the probability that none of the player's numbers match the six winning numbers is approximately 0.4361.

b) To determine if events E and E2 are independent, we need to check if the probability of both events occurring is equal to the product of their individual probabilities.

The probability of E, the event that the bit string chosen begins with 01, is 1/4. This is because there are four possible bit strings that begin with 01: 0100, 0101, 0110, and 0111, and there are 16 possible bit strings in total (2^4).

The probability of E2, the event that the bit string chosen ends with 10, is also 1/4. This is because there are four possible bit strings that end with 10: 0010, 0110, 1010, and 1110.

The probability of both E and E2 occurring is the probability of choosing a bit string that begins with 010 and ends with 10. There are two such bit strings: 0101 and 0100. Since there are 16 possible bit strings, the probability of both E and E2 occurring is 2/16 = 1/8.

To determine if E and E2 are independent, we need to check if the probability of both events occurring is equal to the product of their individual probabilities. That is, we need to check if:

P(E and E2) = P(E) x P(E2)

Substituting the probabilities we have calculated, we get:

1/8 = (1/4) x (1/4)

Since this equation is true, we can conclude that events E and E2 are independent.

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(a) 291/2020

Divide the total for the 10-14 year column by the total.

(b) 77/465

There are 465 people from the east, 77 of which were loyal for 10 to 14 years

(c) 437/1010

There are 291+583=874 people who were loyal for at least 10 years. Divide this by the total of 2020 people.

(d) 145/376

376 people are from the West, (45+100)=145 of which are at least 10.

(e) 32/157

157 people were loyal for less than a year, 32 of which were from the East.

(f) 53/157

157 people were loyal for less than a year, 53 of which were from the South.

(g) 433/465

465-32=433 people were loyal for at least 1 year out of the 465 people from the East.

(h) 335/376

376-41=355 people were loyal for at least 1 year out of the 376 people from the West.

Answer:bruh

Step-by-step explanation:u really need that easy ahh question?

Answer:

x = -13

Step-by-step explanation:

3(x + 7) = -18

Divide both sides by 3.

x + 7 = -6

Subtract 7 from both sides.

x = -13

we know that

1 in represent 22 ft

so

Applying proportion

Find out how many feet , 6 inches represent

22/1=x/6

solve for x

x=22*6

x=132 feet

Number of countries would west Virginia be expected to have is  18 countries

The number of campgrounds that North Dakota has = 465 campgrounds

The number of countries = 12 countries

The number of campgrounds that West Virginia has = 711 campgrounds

Given that the North Dakota was proportional to West Virginia in the number of campgrounds to counties.

The proportion will be

465 / 12 = 711 / x

Divide the terms

38.75 = 711 / x

x = 711 / 38.75

Divide the terms

x = 18.4

x ≈ 18 countries

Hence, number of countries would west Virginia be expected to have is  18 countries

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Answer:

only these 2 terms are given

The slope of the line that passes through (18, ‐7) and (18, 2) will be ∞.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

The points are given below.

(18, ‐7) and (18, 2)

The slope of the line is given as,

m = (2 + 7) / (18 - 18)

m = 9 / 0

m = ∞

The slope of the line that passes through (18, ‐7) and (18, 2) will be ∞.

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Answer:

15.  x-intercept = (-4, 0)

      y-intercept = (0, 2.5)

16.  A. An infinite number of solutions.

Step-by-step explanation:

The x-intercepts are where the line crosses the x-axis, i.e. when y = 0.

The y-intercepts are where the line crosses the y-axis, i.e. when x = 0.

Given equation:

\(5x-8y=-20\)

Substitute y = 0 into the given equation to find the x-intercept:

\(\begin{aligned}y=0 \implies 5x-8(0) &=-20\\5x & = -20\\x & = \dfrac{-20}{5}\\x & = -4\end{aligned}\)

Therefore, the x-intercept is (-4, 0).

Substitute x = 0 into the given equation to find the y-intercept:

\(\begin{aligned}x=0 \implies 5(0)-8y &=-20\\-8y & = -20\\y & = \dfrac{-20}{-8}\\y & =2.5\end{aligned}\)

Therefore, the y-intercept is (0, 2.5).

Given system of equations:

\(\begin{cases}3x-2y=14\\6x=4y+28\end{cases}\)

Multiply the first equation by 2:

\(\implies 2(3x-2y)=2(14)\)

\(\implies 6x-4y=28\)

Add 4y to both sides:

\(\implies 6x-4y+4y=4y+28\)

\(\implies 6x=4y+28\)

Therefore, the two equations are the same.  

A system of linear equations has an infinite number of solutions when the graphs are the exact same line.

By using compound interest formula, we conclude that Sophie deposited $16,638 (rounded to the nearest whole number) into the account.

Compound interest is a method of calculating interest on a principal amount of money, where the interest earned on the initial principal is added to the principal at the end of each compounding period (usually monthly, quarterly, or annually).

We can use the formula for compound interest to solve this problem. The formula is:

\(A = P(1 + r/n)^{(nt)\)

Where:

A = the total amount in the account

P = the principal (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

We know the values for A, r, n, and t, so we can solve for P:

\(A = P(1 + r/n)^{(nt)\)

\(22,099.87 = P(1 + 0.022/2)^{(2*13)\)

\(22,099.87 = P(1.011)^{26\)

22,099.87 = 1.329P

P = 22,099.87 / 1.329

P = 16,637.55

Therefore, Sophie deposited $16,638 (rounded to the nearest whole number) into the account.

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Answer:

i think its 17

please rate and leave a like :-)

Answer:

third option

Step-by-step explanation:

using the rule of exponents

\((a^m)^{n}\) = \(a^{mn}\)

\(a^{-m}\) = \(\frac{1}{a^{m} }\)

\(a^{\frac{m}{n} }\) = \((\sqrt[n]{a})^m\)

given

\((125x^{\frac{7}{3} }) ^{-\frac{1}{3} }\)

= \(125^{-\frac{1}{3} }\) × \(x^{-\frac{7}{9} }\)

= \(\frac{1}{125^{\frac{1}{3} } }\) × \(\frac{1}{x^{\frac{7}{9} } }\)

= \(\frac{1}{\sqrt[3]{125} }\) × \(\frac{1}{x^{\frac{7}{9} } }\)

= \(\frac{1}{5}\) × \(\frac{1}{x^{\frac{7}{9} } }\)

= \(\frac{1}{5x^{\frac{7}{9} } }\)

Answer:

These figures are not the same because the Slope of DE is not the same as the slope of JK.

Step-by-step explanation:

Slope of DE = -2/1

Slope of JK = -1

If they were similar, the slope would be the same, but the size would not.

-Chetan K

Part 1

\(a=\sqrt{12^2 + 21^2 -2(12)(21) \cos 35^{\circ}} \approx \boxed{13}\)

Part 2

\(\frac{\sin B}{b}=\frac{\sin A}{a}\\\\\sin B=\frac{b\sin A}{a}\\\\\sin B=\frac{12 \sin 35^{\circ}}{\sqrt{12^2 +21^2 -2(12)(21) \cos 35^{\circ}}}\\\\B=\sin^{-1} \left(\frac{12\sin 35^{\circ}}{\sqrt{12^2 +21^2 -2(12)(21) \cos 35^{\circ}}} \right)\\\\B \approx \boxed{32^{\circ}}\)

Part 3

\(\angle C=180^{\circ}-\angle A -\angle B=\boxed{113^{\circ}}\)

Answer:

x ≠ 1

Step-by-step explanation:

If 1 is used, this will happen:

f(x) = 4/-(1) + 1

f(x) = 4/-1 + 1

f(x) = 4/0 = Undefined

The number of years that each person would have been employed would be that Nikhil has been with the company for 24 years, while Mae has been there for 4 years. That is option C.

Nikhil has been at the company 6 times as long as Mae.

That is,

x = 6y-----> equation 1

where X= Nikhil

y = Mae

Nikhil's time at the company is 8 more than 4 times Mae's.

That is,

x = 8 + 4y----> equation 2

To solve for each years, substitute for X into equation 2;

6y = 8+4y

8 = 6y-4y

8 = 2y

y = 8/2 = 4

Substitute y into equation 1;

X= 6×4

X= 24

Therefore, Nikhil has been with the company for 24 years, while Mae has been there for 4 years.

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Answer: Option C. Nikhil has been with the company for 24 years, while Mae has been there for 4 years.

Step-by-step explanation:

l = 16 feet

w = 3 feet

A = l×w

l = 10+2w

48 = (10 + 2w)w

48 = 10w + 2w² | : 2

24 = 5w + w²

w² + 5w - 24 = 0

w² + 8w - 3w - 24 = 0

w(w + 8) - 3(w + 8) = 0

(w - 3)(w + 8) = 0

w - 3 = 0 => w = 3 feet

w + 8 = 0 => w = - 8 ∉ N

l = 10 + 2w

l = 10 + 6

l = 16 feet

A = l×w = 16ft×3ft = 48ft²

Answer:

Step-by-step explanation:

shaded area=6×1=6 sq. units

whole area=10×10=100 sq. units

reqd. =6/100 ×100=6 %

Answer:

B differs from the others

Step-by-step explanation:

The other lines all have slopes of 5.  Graph b has a slope of 5.5

Answer:

x = 1.12

Step-by-step explanation:

1.2 + 7 x 1.12 = 9.04

May I have brainliest please? :)

Answer:

x=9/8

Step-by-step explanation:

1. Combine like terms.

x+7x=9 ---->   8x=9

2. Divide both sides of the equation by the same term

8x=9 -----> 8x/8 = 9/8

3. Simplify

  x = 9/8   or 1.125

Answer:

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(3x−6)−2x+1=25

(2)(3x)+(2)(−6)+−2x+1=25(Distribute)

6x+−12+−2x+1=25

(6x+−2x)+(−12+1)=25(Combine Like Terms)

4x+−11=25

4x−11=25

Step 2: Add 11 to both sides.

4x−11+11=25+11

4x=36

Step 3: Divide both sides by 4.

4x

4

=

36

4

x=9

Answer:

X = 6.5

Step-by-step explanation:

First we need to simplify and also remember the use of PEMDAS.

6x-12-2x+1=25

4x-11=25

Addition property of equality

4x=26

Division property of equality

x=6.5