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3 years ago

What is t in t/3 = 4/9?

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

7 0

Answer:

$t = \frac{4}{3}$

Step-by-step explanation:

1) Multiply both sides by 3.

$t = \frac{4}{9} \times 3$

2) Use this rule: a/b × c = ac/b.

$t = \frac{4 \times 3}{9}$

3) Simplify 4 × 3 to 12.

$t = \frac{12}{9}$

4) Simplify 12/9 to 4/3.

$t = \frac{4}{3}$

Therefor, the answer is, t = 4/3.

and in decimal form it would be, 1.333333.

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Answer: The ratio is 6:14 or 6/14, which reduces to 3:7 or 3/7

Step-by-step explanation:

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3 years ago

What is the slope of the line given by the equation y = -7X?

marissa [1.9K]

Answer:

-7

Step-by-step explanation:

Given the expression: y = mx + c

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Therefore, from the given question: y = -7x. The slope m = -7

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3 years ago

QUESTION IS DOW BELOW 15 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP

vfiekz [6]

a. Applying the angle of intersecting chord theorem, m∠AEB = 57°.

b. Applying the , angle of intersecting tangents or secants theorem, VW = 106°.

<h3>What is the Angle of Intersecting Chords Theorem?</h3>

According to the angle of intersecting chord theorem, the angle formed inside a circle (i.e. angle AEB) by two chords (i.e. AC and BD) have a measure that is equal to half of the sum of the measures of intercepted arcs AB and CD.

<h3>What is the Angle of Intersecting Tangents or Secants Theorem?</h3>

According to the angle of intersecting tangents or secants theorem, the angle formed outside a circle (i.e. angle VZW) have a measure that is equal to half of the positive difference of the measures of intercepted arcs XY and VW.

a. m∠AEB = 1/2(measure of arc AB + measure of arc CD) [angle of intersecting chord theorem]

Substitute

m∠AEB = 1/2(53 + 61)

m∠AEB = 57°

b. 35 = 1/2(VW - 36) [angle of intersecting tangents or secants theorem]

Multiply both sides by 2

2(35) = VW - 36

70 = VW - 36

Add 36 to both sides

70 + 36 = VW

VW = 106°

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2 years ago

Which equation could represent a linear combination of the system?

Ghella [55]

The equation that could represent a linear combination of the system 2/3x + 5/2y = 15 and 4x + 15y = 12 is 0 = 26

<h3>What are linear equations?</h3>

Linear equations are equations that have constant average rates of change, slope or gradient

<h3>How to determine the linear combination to the system?</h3>

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2/3x + 5/2y = 15

4x + 15y = 12

Multiply the first equation by 6, to eliminate the fractions.

6 * (2/3x + 5/2y = 15)

This gives

4x + 15y = 90

Subtract the equation 4x + 15y = 90 from 4x + 15y = 12

4x - 4x + 15y - 15y = 12 - 90

Evaluate the difference

0 + 0 = -78

Evaluate the sum

0 = -78

The above equation is the same equation as option (b) 0 = 26

This is so because they both represent that the system of equations have no solution

Hence, the equation that could represent a linear combination of the system is 0 = 26

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<u>Complete question</u>

The system of equations below has no solution.

2/3x + 5/2y = 15

4x + 15y = 12

Which equation could represent a linear combination of the system?

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So, the answer is neither

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3 years ago