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A cone-shaped tent has a diameter of 12 ft and a height of 6 ft. What is the approximate volume of the tent? Question 2 options: 226 ft3 679 ft3 905 ft3 2714 ft3

the cost of ketchup is $3.53 & mustard is $0.63 .

Step-by-step explanation:

Here we have , Brianna bought 3 bottles of ketchup and 2 bottles of mustard for $11.85. Logan bought 3 bottles of ketchup and 5 bottles of mustard for $13.73. We need to find the cost of each. Let's find out :

Let cost of ketchup be x and mustard be y than ,

Brianna bought 3 bottles of ketchup and 2 bottles of mustard for $11.85

We have following equation ,

⇒ [tex]3x+2y=11.85[/tex]   ..........(1)

Logan bought 3 bottles of ketchup and 5 bottles of mustard for $13.73

We have following equation ,

⇒ [tex]3x+5y=13.73[/tex]        ........(2)

Now , (2) - (1) , i.e.

⇒ [tex]3x+5y-(3x+2y)= 13.73-11.85[/tex]

⇒ [tex]3y= 1.88[/tex]

⇒ [tex]y=0.627[/tex]

Putting value of y in (1) :

⇒ [tex]3x+2(0.627)=11.85[/tex]

⇒ [tex]3x=11.85-1.254[/tex]

⇒ [tex]x=3.532[/tex]

Therefore , the cost of ketchup is $3.53 & mustard is $0.63 .

The cost of each bottle of ketchup is $3.532 and cost of each mustard is $0.626

Explanation:

Given:

3 bottles of ketchup + 2 bottles of mustard = $11.85

3 bottles of ketchup + 5 bottles of mustard = $13.73

Cost of each = ?

Let x be the cost of each bottle of ketchup

Let y be the cost of each bottle of mustard

According to the question:

3x + 2y = $11.85

3x + 5y = $13.73

Substituting both the equation, we get:

3x + 2y = $11.85

3x + 5y = $13.73

________________

-3y = -1.88

y = $0.626

Substituting the value of y = $0.626 in equation 1

3x + 2(0.626) = $11.85

3x + 1.252 = $11.85

3x = 10.598

x = $3.532

Therefore, cost of each bottle of ketchup is $3.532 and cost of each mustard is $0.626

Answer:

86'

Step-by-step explanation:

Answer: 0.6

Step-by-step explanation:

Total population of class = 50

There are 27 athletes, and 9 musicians However, 6 of the musicians are also athletes.

Therefore, totals for athletes and musicians are:

27 + 9 -6 = 30

Thus, the probability of choosing an athlete or a musician is 30/50= 0.6

We could also use the formula:

P(A or M) = P(A) + P(M) - P(A and M)

P(A or M)=27/50+9/50-6/50

P(A or M)=30/50=0.6

I hope this helps!

Answer:

Option B, -4 and 4

Step-by-step explanation:

Step 1:  Subtract 15 from both sides

y^2 - 1 - 15 = 15 - 15

y^2 - 16 = 0

Step 2:  Factor

y^2 - 16

(y + 4)(y - 4)

Step 3:  Find the solutions

y + 4 - 4 = 0 - 4 and y - 4 + 4 = 0 + 4

y = -4 and y = 4

Answer:  Option B, -4 and 4

Answer:

-4 and 4

Step-by-step explanation:

All you need to do is solve for y

[tex]y^{2} - 1 = 15\\[/tex] (plus 1 to both sides)

[tex]y^{2} = 16[/tex] (take square root of 16)

[tex]y = \sqrt{16}[/tex]

[tex]y = +-4[/tex] (whenever you to the root of a perfect square you want the positive and negative root)

To double check if your answer is right: plug in -4 and +4 in as y and see if it equals 15

1. [tex](4)^{2} - 1 =15[/tex]

[tex]16-1 = 15\\15= 15[/tex]

(positive 4 checks out)

2. [tex](-4)^{2} - 1 = 15[/tex]

[tex]16 - 1 = 15\\15 = 15[/tex]

( negative 4 checks out)

The required simple interest is given as $17.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

Here,
Principal = $850
Rate = 4%
Time = 6 months

Simple interest = principal × rate/100 × time / 12

                         = 850 × 4 / 100 × 6/12
                         = 850 × 0.04 × 1/2
                         = $17

Thus, the required simple interest is $17.

Learn more about simple interests here:

https://brainly.com/question/26457073

#SPJ2

Answer: A and B are true

Step-by-step explanation:

Interest is 0.022, that is 2.2% = 2.2/ 100= 0.022

Principal is %100 as stated in the question

Mark as brainliest

Answer:

d

Step-by-step explanation:

8/root3

Answer:

75% are so 15%

Step-by-step explanation:

To determine the percentage of the jury not over 35 years old, divide the number of jurors not over 35 by the total number of jurors (3/12) and then multiply by 100, resulting in 25 percent.

If nine out of twelve jurors are over 35, then three out of twelve jurors are not over 35. To find out what percentage of the jury is not over 35, we use the following calculation:

Therefore, 25 percent of the jury is not over 35 years old.

Answer:

multiply by -2

Answer:

B. 5 × 5 × 8

Step-by-step explanation:

Each of the boards have an area of 25. You have 8 of them.

Answer:

b. 5 × 5 × 8

Step-by-step explanation:

"...the total area is five feet × five feet times eight"

Equation:

(5 × 5) × 8

Simply remove brackets:

5 × 5 × 8

Answer: x = 5t - a

Step-by-step explanation:

6x + a = 5 (x + t)

expanding the bracket

6x + a = 5x + 5t

collecting like terms

6x - 5x = 5t - a

x = 5t - a

Answer:

x = 5t - a

Step-by-step explanation:

in order to make x the subject of formulae from the expression 6x+a=5(x+t)

the first step to do is to open the bracket (BODMAS).

6x+a=5(x+t)

6x + a = 5x + 5t

collect the like terms

6x-5x = 5t - a

x = 5t - a

therefore the value of x in the expression , that is expressing x interms of t and a from the expression 6x+a=5(x+t) is solved to be x = 5t - a

Answer:

Where is the question

Step-by-step explanation:

Answer:

The right answer is, 4.

Step-by-step explanation:

Why:

164x5 = 820

So:

824-820 = 4

Answer:

24

Step-by-step explanation:

The equations just need to be equal so you multiply 3 by 6 to get 8 and then 4 by 6 to get 24

3 / 4 = 18 / 24

Answer: × = 8

Step-by-step explanation:

-2 (3 x - 9 ) + 5x = 10

Step 1: Open the bracket

-6× + 18 + 5x = 10

Step 2: Combine like terms

-6× + 5× = 10 -18

-1× = -8

×= -8/-1

×=8

Answer:

x=8

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Because 1 is 90 because it shaped like a L 2 is 45 because its narow, and 3 is the smallest of them all. I also did it before

Answer:

1. The quadratic equation is 3x² +17.5x - 58.5 = 0

2. The values of x are 2.38 and -8.21, but we only take 2.38 for our problem.

3. The dimensions of the combined area are approximately 6.38 inches and 12.64 inches.

Step-by-step explanation:

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

Photograph dimensions = 4 inches * 6 inches

Frame dimensions = x inches * 3x - 0.5 inches

Area of the combined area of the photograph and the frame = 80.5 inches²

2. Write a quadratic equation for the combined area. Then use the quadratic equation formula to find x.

One side of the combined area of the photograph and the frame = 4 + x inches

Second side of the combined area of the photograph and the frame = 6 + 3x - 0.5 inches

Now, we can write the quadratic equation this way:

Combined area of the photograph and the frame = One side * Second side, replacing with the values we know:

80.5 = (4 + x) * (6 + 3x - 0.5)

80.5 =  (4 + x) * (5.5 + 3x)

80.5 = 22 + 5.5x + 12x + 3x²

3x² +17.5x - 58.5 = 0

Using the quadratic formula, where, a = 3, b = 17.5 and c = - 58.5, we have:

x = (-b +/- √b² - 4ac)/2a

x = (-17.5 +/- √17.5² - 4 * 3 * -58.5) 2 * 3

x = (-17.5 +/- √306.25 + 702)/6

x = (-17.5 +/- √1,008.25)/6

x = (-17.5 +/- 31.75)/6

x₁ = 14.25/6 = 2.38

x₂ = -49.25/6 = -8.21

We took the value of x₁ because x₂ is negative and we can't have a negative value for the length or the width, therefore:

80.5 = (4 + x) * (5.5 + 3x)

Replacing x, we have:

80.5 = (4 + 2.38) * (5.5 + 3 * 2.38)

80.5 = 6.38 * 12.64

80.5 ≅ 6.38 * 12.64

Answer:

67 [tex]\frac{1}{2}[/tex]  [tex]cm^3[/tex]

Step-by-step explanation:

the volume of a rectangular prism is the three sides multiplied together, [tex]h*w*l[/tex]

converting the mixed number to improper fraction to make multiplying easier.

[tex]\frac{9}{2} *6*\frac{5}{2}[/tex] = [tex]\frac{135}{2}[/tex]

converting back to mixed number in simplest form

[tex]\frac{135}{2}[/tex]= 67 R 1

[tex]\frac{135}{2}[/tex]= 67 [tex]\frac{1}{2}[/tex]

Answer:

f(-2) = 3/8

Step-by-step explanation:

f(x)=6•4^x

Let  x=-2

f(-2) = 6 * 4^-2

The negative in the exponent means it goes to the denominator

f(-2) = 6 * 1/ 4^2

       = 6/4^2

        =6/16

Simplifying

        =3/8

Your Answer Is: 0.125

The value of the expression 3/8 - 1/4 is 1/8.

To find this, you must first find a common denominator, which in this case is 8. Multiply 1/4 by 2/2 to get 2/8. Now, you are able to subtract the fractions to find your answer. 3/8 - 2/8 = 1/8. Thus meaning, 1/8 is your answer.

I hope this helps!

Answer: Remaining balance is $150

Step-by-step explanation:

Contact lens= $200

25% of the amount was paid

= 25/100 × 200 = $50

Out of $200 of contact lens, $50 was paid as deposit, subtract $200 from $50 to give balance.

$200 - $50 = $150

I hope this helps.

After calculating a 25% deposit on the $200 contact lenses, which is $50, the remaining balance that needs to be paid is $150.

If the cost of your new contact lenses is $200, and you left a 25% deposit upon ordering the lenses, we need to first calculate the amount of the deposit and then determine the remaining balance.

To find the deposit amount, we take 25% of the total cost:

Once we have calculated the deposit amount, we subtract it from the total cost to find the remaining balance owed:

So, after leaving a 25% deposit on the contact lenses, your remaining balance would be $150.

Answer: 2/5 pizza

Step-by-step explanation:

Answer: OPTION B

Step-by-step explanation:

You can observe that the exercise provides you two Linear functions.

The first Linear function is the function f(x). This is:

[tex]f(x) = 2x+1[/tex]

And the other Linear function is the function g(x):

[tex]g(x) = x+14[/tex]

In order to find [tex](gof)(x)[/tex], you need to follow these steps shown below:

Step 1:

You must substitute the function f(x) into the function g(x); this means that the function f(x) will be in the place of the variable "x" of the function g(x); as you can observe below:

[tex](gof)(x) = (2x+1)+14[/tex]

Step 2:

Finally you must combine the like terms (You can notice that the like terms are 1 and 14; then you must add them). Therefore, you get that  [tex](gof)(x)[/tex] is:

[tex](gof)(x) = 2x+1+14\\\\(gof)(x) = 2x+15[/tex]

Answer:

Bend down

Step-by-step explanation:

Bebebe

Answer:

12

Step-by-step explanation:

x/6 = 2

x = 6×2 = 12

Answer:

X=12 (sorry for the handwriting)

Answer:

x=10

y=2

Step-by-step explanation:

1)add the equations and find what x is.

x-y=8

+x+y=12

—————

2x=20

— —

2 2

x=10

3)fill in x for the second equation.

x+y=12

since x=10,replace x with 10.

10+y=12.

subtract 19 from both sides.

10+y=12

-10 -10

—————-

y=2

Answer:

45pi yards

Step-by-step explanation:

C = Pi x D

D = 45 yards

C = Pi x 45 yards

C = 45Pi yards, or 141.3716694 yards

Answer: Angle x equals 19 degrees

Step-by-step explanation: We have two polygons, one with five sides and the other with eight sides. The question states that the pentagon has exactly one line of symmetry which means the line that runs down from point D to line AB divides the shape into exactly two equal sides. Hence angle A measures the same size as angle B (in the pentagon).

First step is to calculate the angles in the pentagon. The sum of angles in a polygon is given as

(n - 2) x 180 {where n is the number of sides}

= 3 x 180

= 540

This means the total angles in the pentagon can be expressed as

A + B + 84 + 112 + 112 = 540

A + B + 308 = 540

Subtract 308 from both sides of the equation

A + B = 232

Since we have earlier determined that angle A measures the same size as angle B, we simply divide 232 into two equal sides, so 232/2 = 116

Having determined angle A as 116 degrees, we can now compute the value of angle A in the octagon ABFGHIJK. Since the figure is a regular octagon, that means all the angles are of equal measurement. So, the sum of interior angles is given as

(n - 2) x 180 {where n is the number of sides}

= 6 x 180

= 1080

If the total sum of the interior angles equals 1080, then each angle becomes

1080/8

= 135 degrees.

That means angle A in the octagon measures 135, while in the pentagon it measures 116. The size of angle x is simply the difference between both values which is

x = 135 - 116

x = 19 degrees

Answer:

V=62.8

Step-by-step explanation:

3.14(2)^2(5)

3.14(4)(5)

12.56(5)

62.8

Step-by-step explanation:

Yes, it is a parallelogram because the opposite angles are congruent

Option C

Answer:

yes opposite angles are congruent.

Step-by-step explanation:

On both sides 36 and 144 are congruent or equal