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3 years ago

How can you determine if a relationship is a direct variation from an equation? A table? A graph?

Mathematics

1 answer:

Aleksandr-060686 [28]3 years ago

8 0

You can plug in the table or graph into the equation or the other way around to check your answer

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Question #10 Rachel wants to use the Distributive Property to rewrite 72+ 45. Which expression could she use?

mash [69]

Distributive property of this number is 3(24+15).

In mathematics, the distributive property of binary operations generalizes the distributive law, which asserts that the equality is always true in elementary algebra. For example, in elementary arithmetic, one has One says that multiplication distributes over addition.
In distributive property the form of the equation is a(b+c).
We know that in 72 and 45.
Both are divided by 3 and 9.
So we can use any one of this number.
So in the distributional form.
It will be ,
= 3(24+15).

To know more about distributive property
Visit:. brainly.com/question/18493162

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8 0

1 year ago

Read 2 more answers

Find the area of the shape shown below.

Shtirlitz [24]

Answer:

6 + 2 = 8 x 2 = 16 divided by 2 = 8

Step-by-step explanation:

Formula of a trapezoid:

B1(base 1) + B2(base 2) x H (Height) x 1/2 (basically dividing by 2)

5 0

3 years ago

Solve the system of equations using the substitution method.

sasho [114]

4x+5(3x+9)=7
4x+15x+45=7
19x=7-45
19x = -38
$\frac{19x}{19} = \frac{ - 38}{19}$
x= -2

y=3(-2)+9
y=-6+9
y= 3

6 0

3 years ago

A crawling tractor sprinkler is located as pictured below, 100 feet South of a sidewalk. Once the water is turned on, the sprink

deff fn [24]

Answer:

a) see below

b) 32 minutes after turn-on

c) 52 minutes after turn-on

d) 20 minutes

e) 6856.6 ft²

Step-by-step explanation:

a) We have elected to put the origin at the point where the hose crosses the south edge of the sidewalk. Units are feet. Then the sprinkler starts at (0, -100). After 1 hour, 3600 seconds, the sprinkler is 1800 inches, or 150 ft north of where it started, so stops at (0, 50).

The lines forming the sidewalk boundaries are y=0 and y=10.

b) Water will first strike the sidewalk when the sprinkler is 20 feet south of it, or 80 feet north of where it started. The sprinkler travels that distance in ...

(80 ft)(12 in/ft)/(1/2 in/s)(1 min/(60 s)) = 32 min . . . time to start sprinkling sidewalk

c) The sprinkler has to travel to a point 130 ft north of its starting position for the water to fall north of the sidewalk. That distance is traveled in ...

(130 ft)(2/5 min/ft) = 52 min . . . time until end of sprinkling sidewalk

Note that we have combined the scale factors in the expression of part b into one scale factor of (2/5 min/ft).

d) The difference of times in parts b and c is the time water falls on the sidewalk: 20 minutes.

e) In one hour, the sprinkler travels a distance of ...

(60 min)(5/2 ft/min) = 150 ft

Of that distance, 10 feet is sidewalk. So, the sprinkler covers an area of grass that is a 140 ft by 40 ft rectangle and a circle of 20 ft radius. The total area of that is ...

A = LW + πr² = (140 ft)(40 ft) +π(20 ft)² = (14+π)(400) ft² ≈ 6856.6 ft²

The area of grass watered in 1 hour is about 6856.6 ft².

5 0

4 years ago

Dale is 35 years old and planning to retire at age 65. He will invest an average of $155 each month with an average annual retur

weeeeeb [17]

Since he is investing the same amount monthly, we have to apply annuity formula. And it is planned for the future. So that, we'll apply future value annuity formula. The formula is $FV=A[ \frac{(1+ \frac{r}{s})^{Ns} -1 }{r} ]$ , where A is the monthly payment, r is the percentage rate, s is 12 (monthly compound) and N is the time, which is 30. Plugging the numbers into the formula, we write that $FV=155[ \frac{(1+ \frac{0.037}{12} )^{12*30} - 1 }{0.037} ]$ = $8485.450857

3 0

4 years ago