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2 years ago

The table below represents a proportional relationship.

Mathematics

2 answers:

mixas84 [53]2 years ago

6 0

Answer:

y = 3x

Step-by-step explanation:

Note the values of y are 3 times the corresponding values of x, that is

x = 4 → y = 4 × 3 = 12

x = 7 → y = 7 × 3 = 21

x = 10 → y = 10 × 3 = 30

x = 13 → y = 13 × 3 = 39

Thus the equation describing the proportion is

y = 3x

Aloiza [94]2 years ago

3 0

B-y=3x
Just took the test

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In the answer space below, provide the larger of the two positive integers that add up to 60 and have the largest possible produ

MAXImum [283]

Answer:

The two positive integers are 30 and 30

Step-by-step explanation:

Let

x------> the larger positive integer

y-----> the smaller positive integer

P----> the product o the two positive integers

we know that

$x+y=60$

$y=60-x$ -----> equation A

$P=xy$ ----> equation B

substitute equation A in equation B

$P=x(60-x)$

$P=60x-x^{2}$

This is the equation of a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the largest possible product

Using a graphing tool

The vertex is the point (30,900)

That means------> For $x=30$ The largest possible product is $900$

and

$y=60-x$ ------> $y=60-30=30$

therefore

The two positive integers are 30 and 30

5 0

3 years ago

Please help how do I do this ??

AleksAgata [21]

For 10 here is the answer and for 9 i’ll reply to my comment

3 0

2 years ago

What is the answer of 3m-10=2(4m-5)

mr_godi [17]

3m-10=2(4m-5)
3m-10=8m-10
3m-8m=-10+10
-5m=0
m=0

4 0

3 years ago

Read 2 more answers

Items 17-18: Use the diagram to the right. I just need 17-18 please and thank you!!!

mixer [17]

Answer:

17. (B)

18. both opposite sides are equal in length and height.

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Keeping in mind the rules for significant figures, determine how many milliliters there are in 0.073 gallons. 1 gallon = 4 quart

andreev551 [17]

we are given

there are in 0.073 gallons

we can see that there are two non-zero places after decimals

so, there are two siginificant figures

step-1: Change gallons to quarts

we know that

1 gallon = 4 quarts

so, we can write as

$0.073gallons=0.073*1gallon$

$0.073gallons=0.073*4quarts$

$0.073gallons=0.292quarts$

step-2: Change into liter

$0.073gallons=0.292quarts$

we know that

1 liter = 1.057 quarts

$1 quart=\frac{1}{1.057} litre$

$0.073gallons=0.292*1quarts$

$0.073gallons=0.292*\frac{1}{1.057} litre$

$0.073gallons=0.27625 litre$

step-3: Change into millilitre

we know that

$1L=1000mL$

$0.073gallons=0.27625*1 litre$

$0.073gallons=0.27625*1000 mL$

Since, it is asking for only two significant figures

so, we can also write as

$0.073gallons=0.28*1000 mL$

$0.073gallons=280 mL$ ...................Answer

3 0

2 years ago