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timama [110]
3 years ago
10

Kate packs snow into 5 identical jars. Each jar represents a different depth of snow. Kate then lets the snow in each jar comple

tely melt. The table shows the height of the liquid in each jar as it relates to the original depth of snow in the jar.
Which statements are true about the relationship between the depth of the snow and the height of water in the jar after the snow is melted? Check all that apply.

The points on a graph representing the relationship lie on a line.
There is 0.4 inch of water to every 1 inch of snow.
A line through the points will pass through (0, 0).
The function relating snow depth to water depth is quadratic.
The data can be represented by f(x) = 0.2x.

Mathematics
2 answers:
Xelga [282]3 years ago
9 0

Answer:

A, C, E

Step-by-step explanation:

From the table you can see that the water depth cahnges

0.8-0.4=1.2-0.8=1.6-1.2=2.0-1.6=0.4\ in

for every

4-2=6-4=8-6=10-8=2\ in of snow (option B is false).

This means that the function modelling this situation is linear function (option A is true and option D is false). Let the equation of this function be y=ax+b. Then

0.4=2a+b,\\ \\0.8=4a+b.

Subtract these two equations:

2a=0.8-0.4,\\ \\2a=0.4,\\ \\a=0.2.

Hence,

b=0.4-2\cdot 0.2=0.

The equation of the straight line (the graph of linear function) is y=0.2x. (option E is true) This line passes through the point (0,0), because its coordinates satisfy the equation (option C is true).

Georgia [21]3 years ago
7 0

Answer:

the answer is A, C, E

Step-by-step explanation:

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What single decimal multiplier would you use to increase by 9% followed by 3% decrease
MaRussiya [10]

Answer:

= 94

Step-by-step explanation:

To work out the multiplier, first add or subtract the percentage from 100, then convert to a decimal. Example: we want to add 20% to £110. To work out the multiplier, add 20 to 100, to get 120, and then change it to a decimal (divide by 100) to get 1.2. The answer is £110 x 1.2 = £132.

so to workout an increase of 9% followed by 3% we would do:

9% - 3% = 6%. convert = 0.06 = 100-6 = 94 converted into 0.94 x 100 = 94

7 0
3 years ago
Find two consecutive odd integers whose sum is 116.
garri49 [273]

x+(x+2)=116. When simplified 2x+2=116. Now solve 2x=116-2. 2x= 114. Now divide to get x alone by dividing both sides by 2. X= 114÷2= 57.    So now 116-57= 59    So, your two number 57 and 59. If you add them will be 116

7 0
3 years ago
Can you help me I need to send this to my teacher like TODAY
Rashid [163]
Coordinates when you see t
8 0
2 years ago
Read 2 more answers
Solve the simultaneous equations <br> 2x+3y=13<br> 4x-y=-2
kherson [118]
From eq1 ,
2x = 13-3y
x = 6.5-1.5y (eq 3)
sub eq 3 into eq2,
4(6.5-1.5y)-y=-2
26-6y-y=-2
-6y-y=-2-26
-7y=-28
7y=28
y=4 ( eq 4 )
sub eq4 into eq3 ,
x=6.5-1.5(4)
x=6.5-6
x=0.5


4 0
3 years ago
If the sum of 37 and 12 x is 286, what is the value of x?
NNADVOKAT [17]

Answer:

x = 20.75

Step-by-step explanation:

37 + 12x = 286    <-- Subtract 37

12x = 249     <-- Divide by 12

x = 20.75

4 0
3 years ago
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