The value of the 6 in the number 60,324 is how many times greater than the value of the 6 in the number 4,621

What is the product of 3 1/2 x 1/5

vesna_86 [32]

Answer:

7/10

Step-by-step explanation:

8 0

3 years ago

5. If the tree's circumference is 141.3ft, what is its diameter?

BigorU [14]

Answer:

d ≈ 45 ft

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Geometry

Circumference of a Circle Formula: C = πd

Step-by-step explanation:

Step 1: Define

Circumference C = 141.3 ft

Step 2: Solve for d

Substitute in C [Circumference Formula]: 141.3 ft = πd
Substitute in π (approximation): 141.3 ft ≈ 3.14d
[Division Property of Equality] Divide both sides by 3.14: 45 ft ≈ d
Rewrite: d ≈ 45 ft

7 0

3 years ago

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A barrel of oil was filled at a constant rate of 7.5 gal/min. the barrel had 10 gallons before filling began. write an equation

Xelga [282]

Assuming that :

- The number of the gallons is symbolized by g
- Time per minute is symbolized by t

the equation would be :

g = 10 + 7.5 t

Hope this helps

5 0

3 years ago

Need help please and thanks

madreJ [45]

Answer:

2. n = 11

4. g = -2

6. t = 21

8. n = 4

10. y = -1

Step-by-step explanation:

2. 63 = -3(1 - 2n)

Dividing both the side by negative 3 we get

$-21=1-2n\\2n=1+21\\2n=22\\n=\frac{22}{2} \\\therefore n=11$

4. -g + 2(3 + g) = -4(g + 1)

First we will open the bracket by distributive property A( B +C) = AB + AC

$-g+2\times 3 + 2\times g = -4\times g + -4\times 1\\-g+6+ 2g=-4g-4\\\textrm{we will take all the g term the left side and the constant to the right side}\\4g-g+2g=-6-4\\5g=-10\\g=\frac{-10}{5}\\\therefore g=-2$

6.-3(t +5 ) + (4t + 2) = 8

Using distributive property A( B +C) = AB + AC we get

$-3\times t + -3\times 5 + 4t + 2=8\\-3t-15+ 4t + 2=8\\t=8+15-2\\t=21\\\therefore t=21\\$

8. -8 - n = -3(2n -4)

Using distributive property A( B +C) = AB + AC we get

$-8 - n = -3\times 2n - -3\times4\\-8-n=-6n+12\\\textrm{all the n terms to the left inside and the constant of the right-hand side}\\6n-n=8+12\\5n=20\\n=\frac{20}{5}\\ \therefore n= 4$

10. -4( 2 - y) + 3y = 3(y - 4)

Using distributive property A( B +C) = AB + AC we get

$-4\times 2 --4\times y + 3y = 3\times y -3\times 4\\-8+4y+3y =3y-12\\\textrm{all the y terms to the left side and the constant to the right side}\\4y+3y-3y=-12+8\\4y=-4\\y=\frac{-4}{4}\\ \therefore y=-1$

7 0

3 years ago

Q # 1 Graph the function Y = |X + 2| - 3

Svetllana [295]

First of all we know the Absolute Value Function that is:

$\left | x \right |= \left \{ {{x \ \ \ \ x \geq 0} \atop {-x \ \ \ \ x\ \textless \ 0}} \right.$

This is called the Parent Function of the Absolute Value Function.

From the equation:

$y=\left | x+2 \right |-3$

The term:

$\left | x+2 \right |$

means that the the Parent Function is shifted two units to the left.

On the other hand, the term:

$-3$

means that the function $\left | x+2 \right |$ is shifted three units downward. So the result is the graph shown below

4 0

3 years ago

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The value of the 6 in the number 60,324 is how many times greater than the value of the 6 in the number 4,621​

The value of the 6 in the number 60,324 is how many times greater than the value of the 6 in the number 4,621