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CaHeK987 [17]
3 years ago
8

Ming wrote the table of points below.

Mathematics
1 answer:
anzhelika [568]3 years ago
7 0

Answer:

Ming has described a proportional relationship because the ordered pairs are linear and the line passes through the origin

Step-by-step explanation:

Given

x - y

5 - 10

10 - 20

15 - 30

Required

Determine if the data are proportional

The dataset is small; so, we can derive the relationship by observation.

By observing the x and y values, the relationship is:

y = 2x --- i.e. multiply x values by 2.

This is further proven by:

y = 2 * 5 = 10

y = 2 * 10 = 20

y = 2 * 15 = 30

y = 2 * 0 = 0 --- the origin

Hence, the dataset is proportional and it passes through the origin.

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What is y/3 + 6 = 9?​
VLD [36.1K]

y = 9 because 9 over 3 simplified is 3 and 3 plus 6 equals 9

5 0
3 years ago
Read 2 more answers
20 points!!!!!!!
castortr0y [4]
See the attached figure to better understand the problem
let
L-----> length side of the cuboid
W----> width side of the cuboid
H----> height of the cuboid

we know that
One edge of the cuboid has length 2 cm----->  <span>I'll assume it's L
so
L=2 cm
[volume of a cuboid]=L*W*H-----> 2*W*H
40=2*W*H------> 20=W*H-------> H=20/W------> equation 1

[surface area of a cuboid]=2*[L*W+L*H+W*H]----->2*[2*W+2*H+W*H]

100=</span>2*[2*W+2*H+W*H]---> 50=2*W+2*H+W*H-----> equation 2
substitute 1 in 2
50=2*W+2*[20/W]+W*[20/W]----> 50=2w+(40/W)+20
multiply by W all expresion
50W=2W²+40+20W------> 2W²-30W+40=0

using a graph tool------> to resolve the second order equation
see the attached figure

the solutions are
13.52 cm x 1.48 cm
so the dimensions of the cuboid are
2 cm x 13.52 cm x 1.48 cm
or
2 cm x 1.48 cm x 13.52 cm

<span>Find the length of a diagonal of the cuboid
</span>diagonal=√[(W²+L²+H²)]------> √[(1.48²+2²+13.52²)]-----> 13.75 cm

the answer is
 the length of a diagonal of the cuboid is 13.75 cm



4 0
3 years ago
What is the value of x?<br> 150°<br> 3xº
leonid [27]

Answer:

the answer is 50

Step-by-step explanation:

150 / 3 = 50

3 0
3 years ago
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If y varies inversely as x and y = 32 when x = 42, find y when x = 24.
NARA [144]
<h2>Answer:</h2>

\boxed{y=56}

<h2>Explanation:</h2>

When talking about the concept of Inversely proportional we mean that if all other variables are held constant one variable decreases if the other variable increases. So, y varies inversely as x or y is inversely proportional to x if and only if:

y=\frac{k}{x} \\ \\ For \ some \ nonzero \ constant \ k

Where k is the constant of variation or the constant of proportionality.

From the problem, we know that:

When \ x=42, \ y=32

So we can find k:

y=\frac{k}{x} \\ \\ 32=\frac{k}{42} \therefore k=32 \times 42 \therefore k=1344

So we need to find:

y \\ \\ When \ x=24

Therefore:

y=\frac{1344}{24} \\ \\ \boxed{y=56}

8 0
3 years ago
Stefanie has 18 grams of 20% sugar syrup and John has 30 grams of 25% sugar syrup. If Stefanie and John mix the syrups together,
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Answer: 48

Step-by-step explanation:

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