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diamong [38]
3 years ago
12

How do I solve this Algebra 2 question? 2x-3 over 7 = x+4 over 6

Mathematics
1 answer:
astra-53 [7]3 years ago
8 0

Answer:

x=46/5

Cross multiply, distribute the denominator, simplify by combining like terms, and isolate x.

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I marked all 3 parts. I need to know part C (the shaded part). anybody mind helping?​
Mnenie [13.5K]

Answer:

Area of shaded part ABCEF = 66 sq.cm

Step-by-step explanation:

AB = 8cm

CD = 8cm

Let DE = x cm

CE = 3x cm

CD =  CE + DE = 8cm

        x + 3x = 8

4x = 8

x = 8/4 = 2 cm

DE = 2cm

CE = 3 * 2 = 6 cm

Area of triangle ADE = 1/2 * base * height

                                   = 1/2 * DE * AD

                                    = 1/2 * 2 * 11 = 11 sq. cm

Area of triangle AEF = Area of triangle ADE = 11 sq. cm

Area of Rectangle ABCD =  l * b = 8 * 11 = 88 sq.cm

Area of shaded part ABCEF =  Area of Rectangle ABCD - (Area of triangle AEF + Area of triangle ADE)

    = 88 - ( 11 + 11 )  = 88 -22 = 66 sq.cm

6 0
3 years ago
Please help)Simplify: (r – 7)(r + 7)
PtichkaEL [24]

Answer:

Im pretty sure the answer is

C) r^2 - 49

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A box of pens cost $6.50 and a box of pencils is $4.00. Jane gets 15% commission of each box of pencils sold. Calculate Jane's c
lys-0071 [83]

Answer:

10.50

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Ellie, an office manager, needs to find a courier to deliver a package. The first courier she is considering charges a fee of $1
Ber [7]

Answer:

The weight of the package is 1 kilograms.

It will cost  $ 13 by both the couriers services.

Step-by-step explanation:

Let the weight of her package is x kilograms

Now, according to the question:

The charges of first Courier = $10 + $3(x)

and The charges of Second  Courier = $7 + $6(x)

Also, for x  kilograms, both the charges are equal

⇒ $10 + $3(x)   =  $7 + $6(x)

or, 10 + 3x =  7 + 6x

or, 10 -7 = 6x - 3x

⇒ 3x = 3, implies  x = 3/3 = 1

⇒ The weight of the package is 1 kilograms.

It will cost :  10 + 3(1) = $ 13  = 7 + 6(1) by both the couriers services.

5 0
3 years ago
Two fifths of the instruments in the marching band are brass, one third are woodwinds. One eighth of the brass instruments are t
Rom4ik [11]
Do 11/24 + 2/5. then subtract your answer from 240
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