Use the key to fill the correct word into the sentence below

Answer:

Cost of peach = 0.30$

Cost of honeydew melon = 1.20$

Explanation:

 Let us assume that cost of peach to be x.

 So we have cost for the honeydew melon = Four times of the cost of peach

                                                                        = 4x

   Total cost = Cost of honeydew melon +  Cost of peach

                    = 4x+x = 5x

   We also have total cost = $1.50

   So equating both

               5x = $1.50

                 x = 1.50/5 =0.30$

   So cost of peach = 0.30$

        Cost of honeydew melon = 4x = 4*0.30 = 1.20$

The volume of any prisma no matter wich one side it have got the following formula:

V=Ab*h where Ab is the base area and h is called height.

From our data we know the volume (6k^2-13K+5) and we know the base area (2k-1). Inserting this data in the general formula we got:

6k^2-13K+5=(2k-1)*h, solving for our unknown variable the height h

h=6k^2-13K+5/2k-1

factoring numerator :

h=(3k-5)(2k-1)/2k-1 simplifying

h=3k-5

The answer is 3k-5

Remark

The Volume = B * h

V = 6k^2 - 13k + 5

B = 2k - 1

h = ??

The volume will factor into (2k - 1)(3k - 5)

You can tell that one of the factors is 2k - 1 because that is the given amount for the base. You need only find the other factor. 3k is needed to multiply 2k to 6k^2.

- 1 needs - 5 to get the answer to 5

So the other factor is 3k - 5

Solution

V/b = h

(6k^2 - 13k + 5)/(2k - 1)

(3k - 5)(2k - 1) / (2k - 1)   The (2k - 1)s Cancel out

Answer

B = 3k - 5 Second one down.

ANSWER

The line that is parallel to [tex]y=4x-6[/tex] through [tex](12,10)[/tex] is  [tex]y=2x-14[/tex].

EXPLANATION

The equation that is parallel to the line [tex]y=4x-6[/tex] has a slope that is equal to the slope of this line.

By comparing this equation to the general slope intercept form,

[tex]y=mx+c[/tex],this line has slope [tex]m=2[/tex].

Hence the line parallel to this line also has slope [tex]m=2[/tex].

Let [tex]y=mx+b[/tex] be the equation of the line parallel to the line

[tex]y=4x-6[/tex]

We can substitute [tex]m=2[/tex] to obtain;

[tex]y=2x+b[/tex]

If the line passes through the point [tex](12,10)[/tex],then this point must satisfy its equation.

We substitute [tex]x=12[/tex] and [tex]y=10[/tex] to obtain;

[tex]10=2(12)+b[/tex]

We this equation for [tex]b[/tex].

[tex]\Rightarrow 10=24+b[/tex]

[tex]\Rightarrow 10-24=b[/tex]

[tex]\Rightarrow -14=b[/tex]

We substitute this value of  [tex]b=-14[/tex] in to [tex]y=2x+b[/tex] to get;

[tex]y=2x+-14[/tex].

Hence the equation of the line that is parallel to [tex]y=4x-6[/tex] through [tex](12,10)[/tex] is  [tex]y=2x-14[/tex].

Answer:

c  100

Step-by-step explanation:

Using the long divison method, the remainder when x⁴ + 36 is divided by x² - 8 is 100

_____x²+8

___________

x² - 8 | x⁴ + 36

____ | x⁴ - 8x²

-________8x² + 36

-________8x² - 64

___________100

The remainder is calculated as (36 - (-64)) = (36 + 64) = 100

Therefore, the remainder is 100

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Answer:

150

Step-by-step explanation:

50 lunches each day.

3 days in total that 50 lunches were severed.

50 x 3 = 150

50 + 50 + 50 = 150

Answer:

33

Step-by-step explanation:

[tex]a_{6}[/tex] = 33

the n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1 )d, hence

[tex]a_{6}[/tex] = 13 + (5 × 4 ) = 13 + 20 = 33

The sixth term (a₆) is 33 in the arithmetic sequence.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.

The formula to find the general term of an arithmetic sequence is,

aₙ = a₁ + (n-1)d

In arithmetic, sequence d represents the common difference.

Where aₙ is the nth term of the sequence and a₁ is the first term

We have been given that a₁ = 13 and d = 4 in an arithmetic sequence,

Substitute the values in the formula,

⇒ a₆ = 13 + (5 × 4)

⇒ a₆ = 13 + 20

⇒ a₆ = 33

Therefore, the sixth term is 33 in the arithmetic sequence.

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Area = 9π cm².

Decimal approximation ⇒ 28.26 cm².

Work is provided in the image attached.

3 4/5 = 4l

A = l^2

Divide 3 4/5 by 4.

l = 0.95

0.95^2 = 0.9025

The area of the square is 0.9025 meters.

To find the area of a square with a perimeter of 3 4/5 meters, we first convert the perimeter to an improper fraction, divide by 4 to find the length of one side, and then square this length to get the area, resulting in 361/400 square meters.

The question is asking us to find the area of a square when the perimeter is given as 3 4/5 meters. First, we convert the mixed number to an improper fraction which is (3 × 5 + 4)/5 = 19/5 meters. Since the perimeter of a square is the sum of all its sides (P = 4a), we can find the length of one side (a) by dividing the perimeter by 4.

a = P / 4 = (19/5) / 4 = 19/20 meters.

Now that we have the length of a side, we can find the area by squaring this length:

Area = a · a = (19/20) · (19/20) = 361/400 square meters.

Therefore, the area of the square is 361/400 square meters.

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OMG NO I WANT TO HELPA YOU BUT I HAVE NO CLUE HOW

i do to but i'm not good with stuff on paper

7 divided by 7 equals 1. So, 7 divided by 1 equals 7.

Hope this helps.

Answer:

49

Step-by-step explanation:

7 squared is 49. 49 divided by 7 = 7

What I do is to add up the hundreds and tens in my mind first:

130 + 90 + 160 = 380

and then add the small change:

7.50 + 2.50 + 2.50 = 12.50

and add it back to the first amount

392.50

Its $392.50

All you have to do is add $137.50 + $92.50 + $162.50 = $392.50

Hope the answer helps!

$358.20 + $358.20 * 17.5% = $420.89

$358 -- Original Price

$358.20 * 17.5% -- Price of Tax

$358.20 + $358.20 * 17.5% -- Both added together

The total cost of the new PlayStation is calculated by adding the initial price ($358.20) and the VAT amount at a rate of 17.5%. The VAT amounts to $62.68. Hence, the total amount paid for the new PlayStation is $420.88.

The total cost of the new PlayStation includes the initial cost and the additional charge due to VAT (Value Added Tax). Here, the initial cost is $358.20 and the VAT is charged at 17.5%. First, we need to calculate the VAT amount.

The VAT amount can be calculated using the formula:

VAT Amount = (VAT rate/100) x Cost without VAT

So, VAT Amount = (17.5/100) x 358.20 = $62.68

Now, we can calculate the total cost including VAT. The total cost including VAT is the sum of the initial cost and the VAT amount, which in this case is:

Total cost = Initial cost + VAT Amount

So, Total cost = 358.20 + 62.68 = $420.88

Therefore, the amount paid for the new PlayStation, taking into account the VAT, is $420.88.

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The equation which represent the number you are thinking x = (1/2)x + 5 your number is 10.

Let's represent the number you are thinking of as "x."

According to the given information, your number is 5 more than one-half of your number. Mathematically, this can be written as:

x = (1/2)x + 5

The equation x = (1/2)x + 5 represents the situation where your number is 5 more than one-half of your number. To find the value of your number (x), you can solve this equation:

Subtract (1/2)x from both sides to isolate x:

x - (1/2)x = (1/2)x + 5 - (1/2)x

(1/2)x = 5

Now, multiply both sides by 2 to get rid of the fraction:

2 * (1/2)x = 2 * 5

x = 10

So, your number is 10.

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Use Pythagorean Theorem (a² + b² = c²) to find the lengths of the sides. You can also use the distance formula.

6² + 14² = d²

36 + 196 = d²

232 = d²

15.23 ≅ d

2² + 5² = d²

4 + 25 = d²

29 = d²

5.39 ≅ d

Next, use the Perimeter formula:

P = 2L + 2w

  = 2(15.23) + 2(5.39)

  = 30.46 + 10.78

  = 41.24

For #6, Use the Area formula:

A = L x w

  = 5.39 x 41.24

  = 222.28

B.) 15d+100

100 is a sure value as he earned it

We do not know how many days he worked, therefore variable d is used to represent d amount of days, but we do know he recieved $15 for everyday that he did work

128 ounces and 16 cups

64÷8=8

64 1/2 gallon

8 cups

1. rational number

2. percent

3. least common denominator

4. proportion

5. percent proportion

I am positive that these numbers are correct.

1 is rational number

2 is percent

3 is least common denominator

4 is proportion

5 is percent proportion

96÷16(oz in a pint)= 6

The solution of expression is,

p = 2/5

We have to given that,

An expression to solve,

3 (5p - 3) = 5 (p - 1)

Now, We can simplify as,

3 (5p - 3) = 5 (p - 1)

Apply distributive property, we get;

15p - 9 = 5p - 5

15p - 5p = 9 - 5

10p = 4

p = 4/10

p = 2/5

Therefore, The solution of expression is,

p = 2/5

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You can just write anything really

Statement: If David likes to do math then he is a good student.

Hypothesis: David likes to do math

Conclusion: He is a good student.

It's basically a if then statement

y = 6 - 3x

x + y = 62

Since we already know the value of y, we can use substitution to find the value of x.

x + 6 - 3x = 62

Subtract 6 from both sides.

x - 3x = 56

Combine like terms.

-2x = 56

Divide both sides by -2

x = -28

Now that we know the value of x, we can solve for the value of y.

x + y = 62

-28 + y = 62

Add 28 to both sides

y = 90

The value of y is 90, and the value of x is -28 (this is your answer)

To make sure that these values are correct, we can plug them into the original equations.

y = 6 - 3x

x + y = 62

90 = 6 - 3(-28)

90 = 90 √ this is correct

-28 + 90 = 62

62 = 62 √ this is also correct

Final answer:

Using a system of linear equations, we find that the two numbers in question are 45 and 17.

Explanation:

Let's call the first number x and the second number y. According to the problem, one number (x) is 6 less than 3 times another number (y). So we can write this as an equation: x = 3y - 6.

The problem also states that their sum is 62. This gives us a second equation: x + y = 62.

Now, we have two equations:

x = 3y - 6 (Equation 1)

x + y = 62 (Equation 2)

To find the values of x and y, we can substitute the expression for x from Equation 1 into Equation 2, giving us:

(3y - 6) + y = 62

Simplifying, we have:

4y - 6 = 62

Adding 6 to both sides:

4y = 68

Dividing by 4:

y = 17

Now that we have the value for y, we can substitute it back into Equation 1 to find x:

x = 3(17) - 6

x = 51 - 6

x = 45

Therefore, the two numbers are 45 and 17.

A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle. We use the symbol ⊙ to represent a circle. The a line segment from the center of the circle to any point on the circle is a radius of the circle

In mathematics, the relationship between the set of points in a plane equidistant from a point is represented by a circle.

In mathematics, the relationship between the set of points in a plane equidistant from a point is represented by a circle.

A circle is defined as the set of all points that are the same distance, called the radius, from a given point, called the center.

For example, if point A is located at (2, 3) and the radius of the circle is 5 units, the equation of the circle would be (x - 2)² + (y - 3)² = 5².

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23%

23 / 100

if that is right your welcome

the answer is 5/100 because its in the hundreths place but it simplifies down to 1/20

thank you for your time and please mark brainliest

Answer:

192.5 acres.

Step-by-step explanation:

Total area of farm the farmer had = 420 acre.

Of these he did not plant full but only 7/12th of the total acres.

Planted area with corn = 7/12(420) = 245  acres

Of these 245 acres, 3/14th was affected by crop and the remaining part would be healthy

crop affected by disease = 3/14 (245) = 52.5 acres

Hence healthy corns = area planted for corn-diseased part of area

=245-52.5

= 192.5 acres