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2 years ago

3(x+2)=2(2-x) pre algebra

Mathematics

1 answer:

azamat2 years ago

8 0

Answer:

x=-2

Step-by-step explanation:

distribute on both sides

3x+6=4-2x

subtract 2x

5x+6=4

Subtract 6

5x=-10

divide 5 from the x

x=-2

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a collection of dimes and quarters is worth $19.85. There are 128 coins in all. How many of each type of coin are in the collect

PolarNik [594]

Number of dimes were 81 and number of quarters were 47

Solution:

Let "d" be the number of dimes

Let "q" be the number of quarters

We know that,

value of 1 dime = $ 0.10

value of 1 quarter = $ 0.25

Given that There are 128 coins in all

number of dimes + number of quarters = 128

d + q = 128 ------ eqn 1

Also given that collection of dimes and quarters is worth $19.85

number of dimes x value of 1 dime + number of quarters x value of 1 quarter = 19.85

$d \times 0.10 + q \times 0.25 = 19.85$

0.1d + 0.25q = 19.85 -------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

d = 128 - q -------- eqn 3

Substitute eqn 3 in eqn 2

0.1(128 - q) + 0.25q = 19.85

12.8 - 0.1q + 0.25q = 19.85

12.8 + 0.15q = 19.85

0.15q = 7.05

Therefore from eqn 3,

d = 128 - q

d = 128 - 47

Thus number of dimes were 81 and number of quarters were 47

4 0

3 years ago

What is the total area of the figure? Please help I’ll give brainliest!!

GalinKa [24]

Answer:

64 square inches

Step-by-step explanation:

You can split this figure into a rectangle and triangle to find the area.

A= l * w

A= 5 * 12

Area of the rectangle = 60 sq in

A= 1/2 bh

b= 12-8 = 4

h= 7-5 =2

A= 1/2 (4)(2)

Area of the triangle = 4 sq in

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2 years ago

A quantitative observation? a. contains a number and a unit b. does not contain a number c. always makes a comparison

Naily [24]

Answer: A. contains a number and a unit

Step-by-step explanation:

Quantitative observations measure the quantity, or the amount, of a certain thing. Therefore they must always use a number value to measure the amounts, and a unit to signify what the amount is for.

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1 year ago

Find the derivative of the following. please show the steps when you answer :1) f(x) = 8xe^x2) y= 5xe^x^43) f(x)= x^8+5/x4) f(t)

borishaifa [10]

Answer:

Since,

$\frac{d}{dx}x^n = nx^{n-1}$

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$\frac{d}{dx}(\frac{f(x)}{g(x)})=\frac{g(x).f'(x) - f(x) g'(x)}{(g(x))^2}$

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Differentiating with respect to x,

$\frac{dy}{dx}=8( x \times e^x + e^x) = 8(xe^x + e^x) = 8e^x(x+1)$

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Differentiating w. r. t x,

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Differentiating w. r. t. x,

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Differentiating w. r. t. t,

$f'(t) = e^{11} - 30t^4$

5) $g(p) = p\ln(2p+3)$

Differentiating w. r. t. p,

$g'(p) = p\frac{1}{2p+3}(2) + \ln(2p+3) = \frac{2p}{2p+3}+\ln(2p+3)$

6) $z = (te^{6t}+e^{5t})^7$

Differentiating w. r. t. t,

$\frac{dz}{dt}=7(te^{6t}+e^{5t})^6 ( 6te^{6t}+e^{6t} + 5e^{5t})$

7) $w =\frac{2y + y^2}{7+y}$

Differentiating w. r. t. y,

$\frac{dw}{dy} = \frac{(7+y)(2+2y)-(2y+y^2)}{(7+y)^2} = \frac{14 + 2y + 14y +2y^2 - 2y - y^2}{(7+y)^2}=\frac{14+14y+y^2}{(7+y)^2}$

7 0

3 years ago

2nd time asking please helpp!!

galben [10]

Answer:

exact form is 6/5 its decimal form is 1.2, and mixed numbers is 1 1/5

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers