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nordsb [41]
3 years ago
8

2(a-7)=a+4 15 6PLS HELPPPPPPPPPPP​

Mathematics
2 answers:
muminat3 years ago
8 0

Answer:

a = 18

Step-by-step explanation:

2(a-7)=a+4

Distribute 2 into left side: 2a -14 = a + 4

subtract a from both sides  2a-a-14 = a+4-a

Simplify: a  - 14 = 4

Add 14 to both sides: a - 14 + 14 = 4 +14

Simplify:   a = 18

If wanted, plug a into original to double check work:

plug in: 2 (18-7) = 18+4

do parenthesis first: 2 (11) = 18+4

do multiplication : 22 = 18+4

additions: 22 =22

a = 18 is correct.

Otrada [13]3 years ago
4 0

Answer:

A=18

Step-by-step explanation:

2(a-7)=a+4

2a-14=a+4

add 14 to both sides

2a=a+18

subtract a from both sides

a=18

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What is the cost of 1 shirt if I have 3 shirts and 2 scarves totaling $94?
Pepsi [2]

Let x be the cost of 1 shirt and y be the cost of 1 scarf.

Since, 3 shirts and 2 scarves cost $94, we have,

3x + 2y = 94

Since the number of unknowns is greater than the number of equations (2 > 1), the above system has infinitely many solutions.

If t is the cost of 1 scarf, then

3x + 2t = 94

3x = 94 - 2t

x = \frac{94-2t}{3}

For different values for t, we will get different values for x.

Set t = 2.

Then, x = \frac{94-2(2)}{3}

= \frac{94-4}{3}

= \frac{90}{3}

= 30

So, if the cost of 1 scarf is $2, then the cost of 1 shirt is $30.


6 0
3 years ago
Approximate the distance between (-1, -3) and (1, 3) to the nearest tenth
jasenka [17]

Answer: The distance or d = 6.324555

For:

(X1, Y1) = (-1, -3)

(X2, Y2) = (1, 3)

Step-by-step explanation:

Distance Equation Solution:  This picture of the work out problem will show you how you would work it out.  

7 0
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Solve for ×. site all steroids and check your work.<br><br> 3×+5=35
Anna71 [15]
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Calvin wants to buy for books at 4.89 dollars each estimate how much change will get back from two $10 bills
Lemur [1.5K]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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A school wishes to enclose its rectangular playground using 480 meters of fencing.
Harlamova29_29 [7]

Answer:

Part a) A(x)=(-x^2+240x)\ m^2

Part b) The side length x that give the maximum area is 120 meters

Part c) The maximum area is 14,400 square meters

Step-by-step explanation:

The picture of the question in the attached figure

Part a) Find a function that gives the area A(x) of the playground (in square meters) in terms of x

we know that

The perimeter of the rectangular playground is given by

P=2(L+W)

we have

P=480\ m\\L=x\ m

substitute

480=2(x+W)

solve for W

240=x+W\\W=(240-x)\ m

<u><em>Find the area of the rectangular playground</em></u>

The area is given by

A=LW

we have

L=x\ m\\W=(240-x)\ m

substitute

A=x(240-x)\\A=-x^2+240x

Convert to function notation

A(x)=(-x^2+240x)\ m^2

Part b) What side length x gives the maximum area that the playground can have?

we have

A(x)=-x^2+240x

This function represent a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the length that give the maximum area that the playground can have

Convert the quadratic equation into vertex form

A(x)=-x^2+240x

Factor -1

A(x)=-(x^2-240x)

Complete the square

A(x)=-(x^2-240x+120^2)+120^2

A(x)=-(x^2-240x+14,400)+14,400

A(x)=-(x-120)^2+14,400

The vertex is the point (120,14,400)

therefore

The side length x that give the maximum area is 120 meters

Part c) What is the maximum area that the playground can have?

we know that

The y-coordinate of the vertex represent the maximum area

The vertex is the point (120,14,400) -----> see part b)

therefore

The maximum area is 14,400 square meters

Verify

x=120\ m

W=(240-120)=120\ m

The playground is a square

A=120^2=14,400\ m^2

8 0
3 years ago
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