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2 years ago

2/x = 6/2 Solve for x. 2/3 1 1/2 6

Mathematics

2 answers:

Aleks [24]2 years ago

6 0

the answer is 6.

Hope this helps!

Eduardwww [97]2 years ago

5 0

Answer:

x=2/3

Step-by-step explanation:

2/x=6/2

2/x*x=6/2*x

2=3x

3x=2

x=2/3

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Double number line 3t+15=45

Reika [66]

Answer:

t=-10 or t=20

Step-by-step explanation:

We want to solve the equation:

$|3t - 15| = 45$

We use the definition of the absolute value function to get:

$- (3t - 15) = 45 \: or \: (3t - 15) = 45$

Divide through the first equation by -1 to get:

$3t - 15 = - 45 \: or \: 3t - 15 =45$

We now add 15 to both sides of the equation to get:

$3t = - 45 + 15 \: or \: 3t =45 + 15$

$3t = - 30 \: or \: 3t =60$

Divide through by 3

$t = - 10 \: or \: t = 20$

4 0

3 years ago

A certain food has a gluten ratio of 13mg of gluten per L of the food what is the gluten ratio in micrograms per milliliter

ArbitrLikvidat [17]

Given:

The gluten ratio is 13 mg per L of food.

Note that

1 L = 1000 mL (milliliter)

1 mg = 10⁻³ g

1 μg = 10⁻⁶ g

Therefore

1 mg = 1000 μg

Answer: The gluten ratio is 13 μg/mL

5 0

3 years ago

A silo is shaped like a cylinder with a cone on top. The radii of the bases of the cylinder and cone are both equal to 8 feet. T

dangina [55]

Answer: 6702.1

Explanation:
Volume of cylinder = πr^2h
= π(8^2)25
= 1600 π

Volume of cone = πr^2(h/3)
= π(8^2)(25/3)
= π (64)(25/3)
= (1600 π)/3

Add these two numbers
= 1600 π + (1600 π)/3
= (4800 π+ 1600 π)/3
= 6400 π/ 3
=6702.06≈6702.1

7 0

3 years ago

Read 2 more answers

Find the perimeter and the area of the polygon with the vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)

Irina-Kira [14]

Answer:

a) The perimeter of the rectangle =

= 22 units

b) The area of the rectangle

= 30 square units

Step-by-step explanation:

We solve the above question using the formula

= √(x2 - x1)² + (y2 - y1)²

When we are given vertices (x1, y1) and (x2, y2)

The vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)

We have to find the length of the sides

Side A

(-1, -2), (-6, -2)

= √(-6 - (-1))² +( -2 -(-2))²

= √-5² + 0²

= √25

= 5 units

Side B

(-6, -2), (-6, -8)

= √(-6 - (-6))² + (-8 - (-2))²

= √(-6 +6)² + (-8 +2)²

= √0² + -6²

= √36

= 6 units

Side C

(-6, -8), (-1, -8)

= √(-1 - (-6))² +(-8 - (-8))²

= √(-1 + 6)² + (-8 + 8)²

=√ 5² + 0²

= √25

= 5 units

Side D

(-1, -2), (-1, -8)

= √(-1 -(-1))² + (-8 - (-2))²

= √(-1 + 1)² + ( -8 + 2)²

= √0 + -6²

= √0 + 36

= √36

= 6 units

From the above calculation,

Side A = Side C = 5 units

Side B = Side D = 6 units

Hence, this polygon is a quadrilateral called the RECTANGLE.

Therefore:

a) The perimeter of the rectangle =

2L + 2W

= 2(5) + 2(6)

= 10 units + 12 units

= 22 units

b) The area of the rectangle

= Length × Width

= 5 units × 6 units

= 30 square units

4 0

3 years ago

A recent poll of 1500 new home buyers found that 60% hired a moving company to help them move to their new home. Find the margin

Mrac [35]

Answer:

The margin of error M.O.E = 2.5%

Step-by-step explanation:

Given that;

The sample size = 1500

The sample proportion $\hat p$ = 0.60

Confidencce interval = 0.95

The level of significance ∝ = 1 - C.I

= 1 - 0.95

= 0.05

The critical value:

$Z_{\alpha/2} = Z_{0.05/2} \\ \\ Z_{0.025} = 1.96$ (From the z tables)

The margin of error is calculated by using the formula:

$M.O.E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1 -\hat p)}{n}}$

$M.O.E = 1.96 \times \sqrt{\dfrac{\hat 0.60(1 -0.60)}{1500}}$

$M.O.E = 1.96 \times \sqrt{\dfrac{0.24}{1500}}$

$M.O.E = 1.96 \times \sqrt{1.6 \times 10^{-4}}$

M.O.E = 0.02479

M.O.E ≅ 0.025

The margin of error M.O.E = 2.5%

8 0

3 years ago