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Kipish [7]
2 years ago
15

In Lixue's garden, the green pepper plants grew 5 inches in 3/4 month. At this rate, how many feet can they grow in one month? (

Let 5 inches = 5/9 foot) (example 2)​
Mathematics
1 answer:
steposvetlana [31]2 years ago
8 0

Answer:

\frac{20}{27}  feet

Step-by-step explanation:

We can simply set up a ratio to solve this problem.

Since plant grew 5/9 foot in 3/4 month, how many feet (let it be x) can it grow in 1 month??

We can set up the ratio shown below, cross multiply and solve for x:

\frac{\frac{5}{9}}{\frac{3}{4}}=\frac{x}{1}\\\frac{5}{9}*1=\frac{3}{4}*x\\\frac{5}{9}=\frac{3}{4}x\\x=\frac{\frac{5}{9}}{\frac{3}{4}}\\x=\frac{5}{9}*\frac{4}{3}\\x=\frac{20}{27}

Hence, we can say the pepper plant will grow 20/27 feet in 1 month.

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Leokris [45]

Where does that StartFraction ... mess come from? -- I've seen it in other questions.

x = \dfrac{- -10 \pm \sqrt{(-10)^2 - 4(7)(-2)}}{2(7)}

Comparing that to the general quadratic formula

x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}

we see b=-10 (agreeing in both places) a=7 (two places), c=-2

Answer: 7x² - 10x - 2 = 0

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2 years ago
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What value digit in 2,417 is ten times as value of the digit in 2,147
3241004551 [841]

Answer:

4 in 2,417

4 in 2,147

Step-by-step explanation:

the place value of 4 in 2,417 is HUNDREDS

while the place value of 4 in 2,147 is TENS

Therefore the place value of 4 in 2,417 is ten times the value of 4 in 2,147

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2 years ago
Each leg of a 45°-45°-90° triangle measures 14 cm. What is the length of the hypotenuse? 7 cm cm 14 cm cm
Mashutka [201]
Check the picture below.

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2 years ago
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The ideal width of a safety belt strap for a certain automobile is 5 cm. An actual width can vary by at most 0.35 cm. Write and
notsponge [240]

Answer:

4.65\leq x\leq 5.35

Step-by-step explanation:

Let the actual width of belt be x

we are given that the ideal width of safety belt strap is 5 cm

So, Difference between actual and ideal = (x-5)cm

We are also given that An actual width can vary by at most 0.35 cm.

So, The difference between actual and ideal width should be less than or equal to 0.35 cm

So, |x-5|\leq 0.35

We know

x-5\leq 0.35 and x-5\geq -0.35

x\leq 0.35+5 and x\geq -0.35+5

x\leq 5.35 and x\geq 4.65

So, 4.65\leq x\leq 5.35

Hence the range of acceptable widths is 4.65\leq x\leq 5.35

8 0
2 years ago
Triangle ABC has the side lengths 6 in., 9 in., and 11 in.
andriy [413]

Answer:

The BEST statement describes how the triangle could be altered in order to make it a right triangle

B.

One inch could be removed from the 9 in. leg and a new hypotenuse could be drawn.

Step-by-step explanation:

Triangle ABC has the side lengths 6 in., 9 in., and 11 in.

The only condition is that satisfy to become Δ ABC a Right angle triangle is

Longer leg (one inch remove) = 9 - 1 = 8 inch

New hypotenuse = 10 inch

So that Pythagoras theorem must satisfy

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

So (Hypotenuse)² = 10² = 100

     (Shorter leg)²  = 6² = 36

     (Longer leg)² = 8² = 64

So we have,

(Shorter leg)² + (Longer leg)² = 36 + 64

                                                = 100

                                                 = (Hypotenuse)²

Therefore, Δ ABC is right Triangle By Converse of Pythagoras Theorem.

Therefore,

The BEST statement describes how the triangle could be altered in order to make it a right triangle

B.

One inch could be removed from the 9 in. leg and a new hypotenuse could be drawn.

4 0
2 years ago
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