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LenKa [72]
3 years ago
10

Andre notices that he is a little taller than Lin but is shorter than their math teacher, who is 164 centimeters tall. Write two

inequalities to describe Andre's height in centimeters. If you get stuck, consider drawing a number line to help you.
Mathematics
1 answer:
Ugo [173]3 years ago
3 0

Answer:

Andre's height:  y < x < 164

Step-by-step explanation:

We will first of all convert each of the statements to mathematical inequalities, before we combine them.

Let Andre's height be = x

Lin's height be = y

The maths teacher's height = 164

Andre is a little taller than Lin:

x > y

Andre is shorter than their maths teacher, who is 164 centimetres

x<164

Combining the two inequalities, we have Andre's height as

y < x < 164

This means that Lin is shorter than Andre who is in turn shorter than the Maths Teacher.

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A circular path 4 feet wide has an inner diameter of 550 feet. How much farther is it around the outer edge of the path than aro
Softa [21]

Answer:

L_c=25.12ft

Step-by-step explanation:

From the question we are told that

Width of circular path w_c=4ft

Inner Diameter d_i_n=550ft

Outer diameter d_{out}= 550 +2*4  (inner diameter +  2 circular path width)

d_{out}= 550 +8\\d_{out}= 558ft

Generally the equation for inner circumference of the circle C_1 is mathematically given by

C_1=\pi d_{in}

C_1=3.14*550

C_1=1727ft

Generally the equation for outer circumference of the circle C_2 is mathematically given by

C_2=\pi d_{out}

C_2=3.14*558

C_2=1752.12ft

Generally the difference in length of the two circumference L_c is mathematically given by

L_c=C_2-C_1

L_c=1752.12-1727

L_c=25.12ft

7 0
3 years ago
Let x = a + bi and y = c + di and z = f + gi
ikadub [295]
True statements:
a) x + y = y + x  ⇒ commutative property of addition
b) (x * y) * z = x * (y * z) ⇒ associative property of multiplication
d) (x + y) + z = x + (y + z) ⇒ associative property of addition

False statements:
c) x - y = y - x  should be: x - y = - y + x
e) (x - y) - z = x - (y - z) should be: (x - y) - z = x - (y + z)
6 0
2 years ago
Read 2 more answers
A candy package states that it now has 30% more candy. The original package had 5 ounces of candy. How much candy is in the new
Anastasy [175]

Answer:

There are now 6.5 ounces in the new bag.

Step-by-step explanation:

To solve this question, take 30% of 5 and add it to the original amount of 5

30% = 0.30

5 * 0.30 = 1.5

5 + 1.5 = 6.5 ounces of candy.

Hope this helps!

7 0
2 years ago
What is the answer to 66- = R2
mars1129 [50]

Answer:

R=-33

Step-by-step explanation:

6 0
3 years ago
How do I subtract 4m^2 + 2mn + 8n^2 from 2m^2 + 6mn + 2n^2 ?
SVETLANKA909090 [29]
-2m^2+4mn-6n^2

1) Let's write out both expressions subtracting 4m²+2mn+8n² from 2m²+6mn+2n²

\begin{gathered} 2m^{2}+6mn+2n^{2}-(4m^{2}+2mn+8n^2)_{} \\ 2m^2+6mn+2n^2-4m^2-2mn-8n^2 \\ -2m^2+4mn-6n^2 \end{gathered}

2) Note that when we subtract 4m^2 + 2mn + 8n^2 from 2m^2 + 6mn + 2n^2 we need to swap the sign by placing -1 outside the parentheses and then combine like terms adding those terms algebraically.

4 0
1 year ago
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