After making 20 servings of pasta, a chef has used 30 cloves of garlic. The chef used 6 cloves to make the first 4 servings. How many cloves of garlic are used to make 10 servings?

Answer:

(a) the cost per pint = $4 per pint

(b) the number of pints per dollar = 0.25 pints per dollar

(c) the number of pints you can afford for $20.00 = 5 pints of raspberries

(d) the cost of 8 pints of raspberries = $32

Step-by-step explanation:

Given;

cost of 3 pints of raspberries = $12.00

(a) the cost per pint

[tex]= \frac{\$12}{3 \ pints} = \$4 \ \ per \ pints[/tex]

(b) the number of pints per dollar

[tex]= \frac{ 3 \ pints}{\$12 } = \frac{3 \times\frac{1}{12} }{12 \times\frac{1}{12} } = \frac{\frac{1}{4} \ pints }{1\$} = \frac{0.25 \ pints}{1 \$} = 0.25 \ pints \ per \ dollar[/tex]

(c) the number of pints you can afford for $20.00

= (0.25 pints per dollar) x ($20.00) = 5 pints of raspberries

(d) the cost of 8 pints of raspberries

= ($4 per pints) x (8 pints) = $32

Answer:

The line u and line v have no point of intersection because they are parallel lines

Step-by-step explanation:

The slope of a straight line is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

The slope of line u is (4 - (-8))/(5 - 9) = -3

The equation for line u is y - 4 = -3*(x - 5)

y = -3·x + 15 + 4 = 19 - 3·x

The slope for line v is (-7 - 2)/(7 - 4) = -3

The equation for the line v is y - 2 = -3*(x - 4)

∴ y = -3x + 12 + 2 = -3x + 14

y = 14 - 3·x

Therefore. line u and line v have the same slope and are therefore parallel and they do not intersect

Answer:

The correct answer is A: Zero

Step-by-step explanation:

Answer:

I believe the answer is

Yes, the points shown on the line would be part of y = 0.5x

Answer:

A

Step-by-step explanation:

Answer:

20,18,16,14,12,10,8,6,4,2

10,9,8,7,6,5,4,3,2,1

Step-by-step explanation:

Pattern A:

Rule : start with 20 and subtract 2

Pattern B:

Rule : Start with 10 and subtract 1

Pattern 1:

20 - 2 = 18

18 - 2 = 16

16 - 2 = 14

14 - 2 = 12

12 - 2 = 10

10 - 2 = 8

8 - 2 = 6

6 - 2 = 4

4 - 2 = 2

20,18,16,14,12,10,8,6,4,2

Pattern 2:

10 - 1 = 9

9 - 1 = 8

8 - 1 = 7

7 - 1 = 6

6 - 1 = 5

5 - 1 = 4

4 - 1 = 3

3 - 1 = 2

2 - 1 = 1

10,9,8,7,6,5,4,3,2,1

Answer:

38.60mm

Step-by-step explanation:

Step one:

Given data

We are given that the dimension of the triangles are length 23 mm and 31 mm

Let us assume that the triangle is a right angle triangle

Step two:

Applying the Pythagoras theorem we can find the third as

[tex]z^2= x^2+y^2\\\\z^2= 31^2+23^2\\\\z^2= 961+529\\\\z^2= 1490\\\\[/tex]

square both sides

z= √ 1490

z= 38.60mm

Hence a possible dimension of the third side is 38.60mm

Answer:

x^2 +2x-8

Step-by-step explanation:

Here, we want to write the quadratic polynomial given the sum of the root and the product

mathematically, we can have the factors as -2 And +4

So we have the equation as;

(x-2)(x + 4)

= x^2+ 2x - 8

Answer:

8

Step-by-step explanation:

(10)^2 - (6)^2 = 64

Square root 64 = 8

Answer:

6 packages B

7 packages A

Step-by-step explanation:

let the number of packages A be a and the number of packages B be b

Total number of packages is 13;

Thus;

a + b = 13 •••••(i)

Total package a cost is 18(a) = 18a

Total package b cost is 22(b) = 22b

Total of both is 258

18a + 22b = 258 •••••••(ii)

From i, a = 13-b

Put this in equation ii

18(13-b) + 22b = 258

234-18b + 22b = 258

4b = 258-234

4b = 24

b = 24/4 = 6

since;

a + b = 13

a + 6 = 13

a = 13-6

a = 7

Answer:

12.4 miles

Step by Step Explanation:

You have to multiply 20 by 0.6213 then you get your answer. You can round it if you want.

Answer:

12.5

Step-by-step explanation:

I got the answer on Hegarty maths

hope its helpfully

Answer:

(f + g)(x) = x² + 5x - 36

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = x² + 4x - 32

g(x) = x - 4

(f + g)(x) is f(x) + g(x)

Step 2: Find

Answer:

2x-8+3x+2=4x+10+3x-6

We move all terms to the left:

2x-8+3x+2-(4x+10+3x-6)=0

We add all the numbers together, and all the variables

2x+3x-(7x+4)-8+2=0

We add all the numbers together, and all the variables

5x-(7x+4)-6=0

We get rid of parentheses

5x-7x-4-6=0

We add all the numbers together, and all the variables

-2x-10=0

We move all terms containing x to the left, all other terms to the right

-2x=10

x=10/-2

x=-5

Step-by-step explanation:

Answer:

f(x)=2x²+24x+22

Step-by-step explanation:

.......

hope it helps

Given that,

Length of a chord = 28 inches

Radius of the circle = 50 inches

To find,

The distance the chord from the center of the circle.

Solution,

Let the distance from the chord to the centre of circle is x.

It is denoted by OM.

Using Pythagoras theorem to find it.

[tex]50^2=28^2+x^2\\\\x=\sqrt{50^2-28^2} \\\\x=41.42\ \text{inches}[/tex]

So, the distance from the chord to the centre of circle 41.42 inches

the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.

a. The circumference of Track 1 is  376.8 feet.

b. The circumference of Track 2 is  533.8 feet.

c. . The circumference of Track 3 is  690.8 feet.

The circular space Driver’s Delight has of 150 feet radius will have a circumference of  471 feet.

The circumference is the distance around the circle and he formula to calculate is 2πr, where r is the radius.

Driver’s Delight has 3 circular tracks for go-carting.

Track 1 has a radius of 60 feet therefore the circumference of this circular track will be,

Track₁ circumference = (2πr).

= (2×3.14×60) feet.

= 376.8 feet.

Track 2 has a radius of 85 feet therefore the circumference of this circular track will be,

Track₂ circumference = (2πr).

= (2×3.14×85) feet.

= 533.8 feet.

Track 3 has a radius of 110 feet therefore the circumference of this track will be,

Track₃ circumference = (2πr).

= (2×3.14×110) feet.

= 690.8 feet.

They also have a circular space of 150 feet there the circumference of this circular space will also be (2πr). And we know Diameter = Twice of radius.

So, we just have to multiply the diameter by π which has an approximate value of 3.14.

So, the circumference of this circular space is

= 150×π feet.

= 150×3.14 feet.

= 471 feet.

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Answer:

18.2°, 161.8° and 378.2°

Step-by-step explanation:

Given the expression:

8 sin x = 2.5

Divide both sides by 8

sinx = 2.5/8

Sinx = 0.3125

x = arcsin(0.3125)

x1 = 18.2

Since sin theta is positive in the second quadrant, x2 = 180 - 18.2 = 161.8°

Since our angle must lie in between  0° and 720°,then;

x3 = 360 + 18.2 = 378.2°

Hence the required angles are 18.2°, 161.8° and 378.2°

Answer:

Triangle Z

Step-by-step explanation:

If a triangle is a right angle triangle, it will follow the Pythagoras theorem.

By Pythagoras theorem,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

Options (1)

Side lengths of the triangle X: 8 cm, 13 cm, 5 cm

By Pythagoras theorem,

(13)² = 8² + 5²

169 = 64 + 25

169 = 69

False.

Option (2)

Side lengths of triangle Y: 14 cm, 30 cm, 17 cm

By Pythagoras theorem,

(30)² = (14)² + (13)²

900 = 196 + 169

900 = 365

False.

Option (3)

Side lengths of triangle Z: 26 cm, 10 cm, 24 cm

By Pythagoras theorem,

(26)² = (10)² + (24)²

676 = 100 + 576

676 = 676

True.

Therefore, triangle Z represents a right triangle.

Ans

$12.5/1 day

Step-by-step explanation:

Just cause

Answer:

pam

Step-by-step explanation:

you can make all fractions equivalent using a common denominator of 620 or change each to a decimal, then compare:

1/2 = .50

5/9 = .55

4/7 = .57

2/5 = .40

Answer:

180

Step-by-step explanation:

Answer:

85 is the answer

Step-by-step explanation:

byeeeeee

Answer:

The value of x is 5

Step-by-step explanation:

In the given triangle

∵ A segment joining two points lie on the two side

∵ This segment is parallel to the third side

∴ This segment divides the two sides into parts that have the same ratio

→ That means x over 2x - 3 equal to 10 over 14

∵ [tex]\frac{x}{2x-3}[/tex] = [tex]\frac{10}{14}[/tex]

→ By using cross multiplication

∴ 10 × (2x - 3) = x × 14

∴ 10(2x) - 10(3) = 14x

∴ 20x - 30 = 14x

→ Add 30 to both sides

∵ 20x - 30 + 30 = 14x + 30

∴ 20x = 14x + 30

→ Subtract 14x from both sides

∵ 20x - 14x = 14x - 14x + 30

∴ 6x = 30

→ Divide both sides by 6

∴ x = 5

∴ The value of x is 5

Answer:

x = 5

Hope This Helps Mate!

Answer:

x ≈ 2.1

y ≈ 5.4

w = 5

Step-by-step explanation:

The given parameters are;

Segment AC = 13

Segment BC = y

Segment AD = 12

Segment CD = w

Segment BD = x

By Pythagoras's theorem, for the right triangle ΔACD, we have;

[tex]\overline {AC}[/tex]² = [tex]\overline {AD}[/tex]²  + [tex]\overline {CD}[/tex]²

∴ 13² = 12² + w²

w² = 13² - 12² = 25

w = √(25) = 5

w = 5

By, Pythagoras's theorem similarly, in the right triangle ΔBCD we have;

y² = x² + w²

∴ y² = x² + 5² = x² + 25

y² = x² + 25

In the right triangle ΔABC we have;

[tex]\overline {AB}[/tex]² = [tex]\overline {AC}[/tex]²  + [tex]\overline {CB}[/tex]²

∴ (12 + x)² = 13² + y² = 13² + (x² + 25)

(12 + x)² = 13² + (x² + 25)

144 + 24·x + x² = 13² + x² + 25

24·x = 13² + 25 - 144 = 50

x = 50/24 ≈ 2.1

x ≈ 2.1

y² = x² + 25

∴ y = √(x² + 25) = √((50/24)² + 25) = 65/12 ≈ 5.4

y ≈ 5.4

Answer:

1/3

Step-by-step explanation:

3/5 × 5/9 is 15/45 but simplified it is 1/3

Answer:

1/3

Step-by-step explanation:

3/5×5/9=?

      |

3/5×5/9= 15/45

      |

15/45 divided by 15= 1/3

      |

Therefore 3/5x5/9=1/3

Answer: If you're looking for the sum of the equation, it's 9.57.

If you're looking for a better way to add it. It's this. (1.7 + 5.3) + 2.57.

Step-by-step explanation: The reason for my answer is quite simple. Since 1.7 and 5.3 add up to 7, all you need to do is add 7 and 2.57. That way, it's much easier to get the answer 9.57

Hope this helped :)

Answer:

The side length of the prints is approximately 34.785 inches.

Step-by-step explanation:

First, we have to calculate the area of the original oil painting ([tex]A[/tex]), measured in square inches, by the following formula:

[tex]A = l^{2}[/tex] (1)

Where [tex]l[/tex] is the length of the side, measured in inches.

And the length of the miniature is determine by means of reduction factor ([tex]k[/tex]), with no unit:

[tex]\frac{A}{k} = l'^{2}[/tex] (2)

If we know that [tex]l = 55\,in[/tex] and [tex]k = 2.5[/tex], then the side length of the miniatures is:

[tex]l' = \sqrt{\frac{l^{2}}{k} }[/tex]

[tex]l' = \frac{l}{\sqrt{k}}[/tex]

[tex]l' = \frac{55\,in}{\sqrt{2.5}}[/tex]

[tex]l' \approx 34.785\,in[/tex]

The side length of the prints is approximately 34.785 inches.

Answer:

Ok, so we have the fact that plus +minus=minus

Thats the fact. It always works that way that same signs means positive and different means negative, as explained with logic.

4+(-5)

So we know that 4 is positive and -5 is negative

if you look at it through a number line, substracting 5 from 4 you have

3--->2---->1---->0---->-1

Under zero, the negatives start, so its proved by maths and logic as well.

Step-by-step explanation:

The quotient of two integers with different signs is negative because if a number is divided by the negative number it always gives a negative value.

The number being divided is referred to as the dividend, and the number being divided by it is referred to as the divisor. The quotient is the outcome of the division.

Due to the following causes, it is discovered that the two quotients with the two different signs give a negative quotient.

Divide the absolute values of the integers to divide the two numbers with a different sign. The ratio is adverse. Note from this rule that 12/–3 and −12/3 are equal to – 4.

The product of two negative integers has a positive quotient. If the indicators differ, the response is unfavorable. The answer is yes if the signals are consistent.

Thus, the quotient of two integers with different signs is negative because if a number is divided by the negative number it always gives a negative value.

Learn more about the quotient here,

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Answer:

The function is non-proportional.

Step-by-step explanation:

If the function was proportional, when the number of hours spent riding the bicycle is equal to 0, the total cost of renting the bicycle would also be 0. In other words, the function would be proportional if y=0 when x=0. However, this is not the case.

[tex]y=15x+10[/tex]

Plug 0 into the equation as x

[tex]y=15(0)+10\\y=10[/tex]

When 1 bicycle has been rented for 0 hours, the customer still has to pay 10 dollars just for renting it. When x=0, y=10. This means that the function is non-proportional.

I hope this helps!

Answer:

a

Step-by-step explanation:

irration minus rathional is a irrational number

Answer:

1/8 in.

Step-by-step explanation:

The amount of rain in the second half of the month is the difference between the two amounts of rain.

1/2 in. - 3/8 in. = 4/8 in. - 3/8 in. = 1/8 in.

Answer: 1/8 in.

Answer:

The answer is 1/8

Step-by-step explanation:

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