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3 years ago

6. To make purple gloves, a factory adds four red drops

Mathematics

1 answer:

-BARSIC- [3]3 years ago

4 0

Answer:

Step-by-step explanation:

50 gallons(8 pints/gallon) = 400 pints

400 pints(4 drops/pint) = 1600 drops red dye

400 pints(3 drops/pint) = 1200 drops blue dye

You might be interested in

Evaluate the following functions for the given value.<br> 19. f(x) = -x3 + x2; -2

suter [353]

Answer:

Step-by-step explanation:

f(x) = -x^3 + x^2

Let x = -2

Evaluate the expression

f(-2) = -(-2)^3 + (-2)^2

= - (-2)*(-2) * (-2) + ( -2) * (-2)

= -(-8) + ( 4)

= 8 + 4

= 12

3 0

2 years ago

Can someone help will all the problems I will mark you the brainest!

lyudmila [28]

Answer:

1. C = 29.52 inches A = 69.63 square inches

2. C = 28.26 inches A = 63.59 square inches

3. Each side of the lawn is 13 yards.

4. 7 is a rational number ( $\frac{14}{2}$ ), a whole number, and an integer.

5. x = 16

6. h = 12.4

Step-by-step explanation:

π = 3.14

The formula for the circumference of a circle that uses radius is C = 2πr.

C = 2 × 3.14 × 4.7 --- plug in known info

C = 29.516 inches --- solve

C = 29.52 inches

The formula for the area of a circle that uses radius is A = πr².

A = 3.14 × 4.7² --- plug in known info

A = 3.14 × 22.09 --- solve

A = 69.3626 square inches --- solve

A = 69.63 square inches

The formula for the circumference of a circle that uses diameter is C = πd.

C = 3.14 × 9 --- plug in known info

C = 28.26 inches --- solve

To solve for area with the diameter, divide it by 2 and use the radius area formula.

$\frac{9}{2}$

r = 4.5

A = πr²

A = 3.14 × 4.5² --- plug in known info

A = 3.14 × 20.25 --- solve

A = 63.585 square inches --- solve

A = 63.59 square inches

Because the lawn is square, the length and width of the lawn are equal.

Let x = the length and width.

x × x = 169 --- l × w = area of rectangle

x² = 169 --- x × x is the same as x²

x = 13 --- square root both sides to get rid of square on x

Each side of the lawn is 13 yards.

√49 = 7

Rational number: a number that can be expressed as a simple fraction of 2 integers, 7 = $\frac{14}{2}$

Irrational number: a number that cannot be expressed as a simple fraction of 2 integers, √2

Whole number: All natural numbers, including 0, up to infinity, 0, 1, 2, 3, 4, 5...

Integer: All whole numbers and their negative counterparts -4, -3, -2, -1, 0, 1, 2, 3, 4…

7 is a rational number ( $\frac{14}{2}$ ), a whole number, and an integer.

We can solve for x using the Pythagorean theorem: If a triangle is right, a² + b² = c².

12² + x² = 20² --- plug in known info

144 + x² = 400 --- solve

x² = 256 --- subtract 144 from both sides

x = 16 --- square root both sides

Same as problem 5, we will use the Pythagorean theorem to solve.

3² + 12² = h² --- plug in known info

9 + 144 = h² --- solve

153 = h² --- solve

h = 12.36931688 --- square root both sides

h = 12.4 --- round to nearest 10th

6 0

3 years ago

The solution set of which of the following equations is

Airida [17]

$F.\ |x+3|=5\\\\because:\\\\|x+3|=5\iff x+3=5\ \vee\ x+3=-5\\\\x=5-3\ \vee\ x=-5-3\\\\x=2\ \vee\ x=-8\\\\|-3-2|=|-5|=5\\|-3-(-8)|=|-3+8|=|5|=5$

7 0

3 years ago

9a - ab + 5b<br><br>if a = 2 and b = 7

Anit [1.1K]

9a-ab+5b
9(2)-(2)(7)+5(7)
18-14+35
39

8 0

2 years ago

The total cost of a jacket and a pair of shoes was $52.95. If the price of the jacket was $3.87 less than the pair of shoes, wha

abruzzese [7]

The price of jacket was $24.54

Step-by-step explanation:

Let,

Cost of jacket = x

Cost of pair of shoes = y

According to given statement;

x+y=52.95 Eqn 1

x = y-3.87 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$(y-3.87)+y=52.95\\y-3.87+y=52.95\\2y=52.95+3.87\\2y=56.82\\$

Dividing both sides by 2

$\frac{2y}{2}=\frac{56.82}{2}\\y=28.41$

Putting y=28.41 in Eqn 2,

$x=28.41-3.87\\x=24.54$

The price of jacket was $24.54

Keywords: linear equation, division

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago