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4 years ago

If Katie bought some flowers she use 3/8 of it to bake bread what percent of the flour is left

Mathematics

2 answers:

Kruka [31]4 years ago

7 0

Eight minus three is five so 5/8.

ANTONII [103]4 years ago

5 0

62.5%

100 / 8 = 12.5

12.5x3 = 37.5

100 - 37.5 = 62.5%

I think.......

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Given collinear points E, F and G such that point F is the midpoint of segment EG. Find the new length of EG given that EF =5x+9

Veseljchak [2.6K]

Answer:

The length of EG is 58 units

Step-by-step explanation:

The midpoint of a segment divides it into two equal part

Let us use this rule to solve our question

∵ E, F, and G are collinear points

∵ Point F is the midpoint of segment EG

→ That means F divides EG into 2 equal segments EF and FG

∴ EF = FG

∵ EF = 5x + 9

∵ FG = 3x + 17

→ Equate them

∴ 5x + 9 = 3x + 17

→ Subtract 3x from both sides

∵ 5x - 3x + 9 = 3x - 3x + 17

∴ 2x + 9 = 17

→ Subtract 9 from both sides

∴ 2x + 9 - 9 = 17 - 9

∴ 2x = 8

→ Divide both sides by 2 to find x

∵ $\frac{2x}{2}=\frac{8}{2}$

∴ x = 4

→ Substitute x by 4 in EF and FG to find their lengths

∵ EF = 5(4) + 9 = 20 + 9 = 29

∵ FG = 3(4) + 17 = 12 = 17 = 29

∵ EG = EF + FG

∴ EG = 29 + 29 = 58

∴ The length of EG is 58 units

6 0

3 years ago

Determine whether the geometric series 27 + 18 + 12 + 8 + ... converges or diverges, and identify the sum if it exists.

Ne4ueva [31]

The given geometric series as shown in the question is seen to; Be converging with its' sum as 81

<h3>How to identify a converging or diverging series?</h3>

We are given the geometric series;

27 + 18 + 12 + 8 + ...

Now, we see that;

First term; a₀ = 27

Second Term; a₁ = 2(27/3)

Third term; a₂ = 2²(27/3²)

Fourth term; a₃ = 2³(27/3³)

Thus, the formula is;

2ⁿ(27/3ⁿ)

Applying limits at infinity gives;

2^(∞) * (27/3^(∞)) = 0

Since the terms of the series tend to zero, we can affirm that the series converges.

The sum of an infinite converging series is:

S_n = a/(1 - r)

S_n = 27/(1 - (2/3)

S_n = 81

Read more about converging or diverging series at; brainly.com/question/15415793

#SPJ1

6 0

2 years ago

Determine whether each given value of x satisfies the inequality x+1<x/3

Vinil7 [7]

$x+1 < \dfrac{x}{3}\ \ \ \ |\cdot3\\\\3x+3 < x\ \ \ \ |-3\\\\3x < x-3\ \ \ \ |-x\\\\2x < -3\ \ \ \ |:2\\\\x < -1.5$

Answer: (c) x = -4

5 0

3 years ago

Help please, from anyone.

Fed [463]

Answer:

your answer should be 15%

5 0

4 years ago

Can you help meee get this ?

nikdorinn [45]

Answer: y=4/5x-2 or y=4/5x+(-2)

Step-by-step explanation:

The formula for slope-intercept form is y=mx+b.

To find the slope, we can use the formula $m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ and plugging in the points given.

$m=\frac{6-2}{10-5} =\frac{4}{5}$

We know our slope is 4/5. We can plug this into our slope-intercept form and then plug in a point to find b, y-intercept.

$y=\frac{4}{5} x+b$

$2=\frac{4}{5}(5)+b$

$2=4+b$

$b=-2$

We know the y-intercept is -2.

THe final equation is y=4/5x-2 or y=4/5x+(-2).

4 0

4 years ago