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Kobotan [32]
3 years ago
10

Order the following integers from least to greatest 6, 11, 16, -8, -5

Mathematics
1 answer:
posledela3 years ago
3 0
-8,-5, 6, 11, 16: reasoning if the number is a higher negative it makes it less
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On Naomi's cell phone plan, the amount she pays each month for international text messages is proportional to the number of inte
Lostsunrise [7]

A) The constant of proportionality in this proportional relationship is k = \frac{y}{x}

B) The equation to represent this proportional relationship is y = 0.2x

<h3><u>Solution:</u></h3>

Given that,

The amount Naomi pays each month for international text messages is proportional to the number of international texts she sends that month

Therefore,

This is a direct variation proportion

\text{ amount Naomi pays each month } \propto \text{ number of international texts she sends that month}

Let "y" be the amount that Naomi pays each month

Let "x" be the number of international texts she sends that month

Therefore,

y \propto x

y = kx -------- eqn 1

Where, "k" is the constant of proportionality

Thus the constant of proportionality in this proportional relationship is:

k = \frac{y}{x}

<em><u>Last month, she paid $3.20 for 16 international texts</u></em>

Therefore,

y = 3.20

x = 16

Thus from eqn 1,

3.20 = k \times 16\\\\k = \frac{3.20}{16}\\\\k = 0.2

Substitute k = 0.2 in eqn 1

y = 0.2x

The equation would then be y = 0.2x

8 0
3 years ago
What is the length of the diagonal of a cube with a side length of 5 cm? Round to the nearest tenth. 7.1 cm 8.7 cm 21.3 cm 26.7
sesenic [268]
Diagonal of a cube formula: D=a√3  [a=side length]

D = 5√3 ≈ 8.7 cm.
6 0
3 years ago
Read 2 more answers
Help me with solving multi-step equations...13x + 2 = 4x + 38
svet-max [94.6K]
1 Subtract 22 from both sides
13x=4x+38-213x=4x+38−2

2 Simplify 4x+38-24x+38−2 to 4x+364x+36
13x=4x+3613x=4x+36

3 Subtract 4x4x from both sides
13x-4x=3613x−4x=36

4 Simplify 13x-4x13x−4x to 9x9x
9x=369x=36

5 Divide both sides by 99
x=\frac{36}{9}x=
​9
​
​36
​​

6 Simplify \frac{36}{9}
​9
​
​36
​​ to 44
x=4x=4
3 0
3 years ago
Read 2 more answers
HELP ME PLS I NEED THIS NOW
OLga [1]
  • Answer:

<em> 195 yards²</em>

  • Step-by-step explanation:

<em><u>Area of rhombus (formula)</u></em>

<em>A = (d₁ₓd₂)/2</em>

<em>d₁ = 2ₓ7,5yd = 15 yd</em>

<em>d₂ = 2ₓ13yd = 26 yd</em>

<em>A = (15ydₓ26yd)/2</em>

<em>= 15ydₓ13yd</em>

<em>= 195 yards²</em>

3 0
3 years ago
daniel took 24 photos at the zoo. 3/8 of the photos were giraffes. how many of daniels photos are giraffe
kakasveta [241]

Answer:

9

Step-by-step explanation:

3/8 of 24 is 9

5 0
3 years ago
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