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natta225 [31]
3 years ago
14

Frank cut a 52 inch string into 3 pieces. The first piece is 20 inches long. The second piece is at least 12 inches long, but no

greater than 18 inches long. Which inequality represents the length (x) of the third piece?
Mathematics
1 answer:
Eddi Din [679]3 years ago
4 0
We need to figure out how much string would be left, after taking away the first two pieces.
We know that the first piece is 20 inches long, so we can say that there is 52-20 inches left, or 32 inches.

The second piece is between 12 and 18 inches, meaning that there would be between 32-12 and 32-18 inches left for the third piece, or 20 and 14 inches. This means that the third piece would be at least 14 inches long, but no more than 20, since we don’t have more string than that (20+12+20=52, and 20+14+18=52)

So we can say that x is greater or equal to 14, but less than or equal to 20, or:

14<=x<=20 (“<=“ is written like a normal “<“ sign with a line _ right under it)
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What does it equal??​
Gekata [30.6K]

Did you attached your work?

4 0
3 years ago
Does anyone how to solve this sum? It’s urgent
Galina-37 [17]

The required value for the sum is 9580.


\frac{10000}{(1+\frac{0.115}{4})^2}+68\frac{1-\frac{1}{(1+\frac{0.115}{4})^2}}{\frac{0.115}{4}}

<h3>What is simplification?</h3>

Simplification in mathematics to solve the given condition on its operators.


\frac{10000}{(1+\frac{0.115}{4})^2}+68\frac{1-\frac{1}{(1+\frac{0.115}{4})^2}}{\frac{0.115}{4}}

= \frac{10000}{1.028^2} +68*\frac{1-\frac{1}{1.028^2} }{\frac{0.115}{4} } \\9451+68*\frac{1-0.94}{\frac{0.115}{4} } \\\\9451+68*\frac{0.054}{\frac{0.115}{4} } \\\\\\9451+3.72{\frac{4}{0.115} } \\\\\\9451+129\\

= 9580


The required solution is given as 9580.

Learn more about simplification here:
brainly.com/question/9218183

#SPJ1

4 0
2 years ago
If ∠WOZ and ∠WOX are supplementary angles and ∠WOX and ∠XOY are complementary angles, then what is the value of x and m∠XOY?
omeli [17]

Answer:

D.x = 6; m∠XOY = 18°

Step-by-step explanation:

Supplementary angles add to 180 and complementary angles add to 90

∠WOZ + ∠WOX = 180

108 + ∠WOX = 180

∠WOX + ∠XOY = 90

∠WOX + 3x = 90

∠WOX  = 90 -3x

Replace WOX in the first equation

108 + ∠WOX = 180

108 + 90 -3x = 180

Combine like terms

198 -3x = 180

Subtract 198 from each side

-3x = 180-198

-3x = -18

Divide by -3

-3x/-3 = -18/-3

x = 6

∠XOY  = 3x = 3*6 = 18

5 0
3 years ago
A line passes through the point (-1,-5) and has a slope of -5.
Anna71 [15]
<h3>hello!</h3>

We're given a point that the line intersects and its slope.

Let's use Point-slope:-

\boxed{y-y1=m(x-x1)}

y1 = -5

m=-5

x1=-1

\boxed{y-(-5)=-5(x-(-1)}

\boxed{y+5=-5(x+1)}

Convert to slope-intercept:-

\boxed{y+5=-5x-5}

\boxed{y=-5x-5-5}

Finally,

\bigstar{\boxed{\pmb{y=-5x-10}}

<h3>note:-</h3>

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

5 0
2 years ago
Chapter 12 F
marshall27 [118]

Answer:

(m+n) -a = r

Step-by-step explanation:

first, you have to find what m+n is because that is their total budget, then you have to remove how much their apartment costs from their budget, because r is the amount of free cash they have. once A is subtracted from m+n, you have r

8 0
3 years ago
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