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hjlf
3 years ago
10

Pls if anyone knows the answer with work included/steps that will be greatly appreciated :)

Mathematics
2 answers:
Leni [432]3 years ago
8 0

Step-by-step explanation:

3. The length of the rectangle is 3x and width is x+5

Now,

Area of rectangle=l×b

=3x(x+5)

=3x^2+15x(option d.)

4. 2/3x-4=20

2x/3=20+4

2x/3=24

2x=24×3

2x=72

x=72/2

x=36(option d.)

irina [24]3 years ago
6 0

Answer:

3.  3x^2 + 15x

4.  x=36

Step-by-step explanation:

The area of a rectangle is

A = l*w

A = (3x)*(x+5)

Distribute

3x^2 + 15x

2/3x - 4 = 20

Add 4 to each side

2/3x -4+4 = 20+4

2/3x = 24

Multiply each side by 3/2

2/3*3/2 =24*3/2

x = 12*3

x=36

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7 0
3 years ago
Help me please. I am having troubles with my math homework.
jeyben [28]

Answer: (3) f(8) = g(8)

<u>Step-by-step explanation:</u>

Let's compare the values of f(x) and g(x) when x = 0, 2, 8, and 4

<u>      f(x)       </u>                      <u>      g(x)        </u>            <u>Comparison</u>

f(x) = 2x - 3                     g(x)=\dfrac{3}{2}x+1

f(0) = 2(0) - 3                     g(0)=\dfrac{3}{2}(0)+1

      = -3                                   = 1                     f(0) < g(0)

f(2) = 2(2) - 3                     g(2)=\dfrac{3}{2}(2)+1

     = 1                                      = 4                     f(2) < g(2)

f(8) = 2(8) - 3                     g(8)=\dfrac{3}{2}(8)+1

     = 13                                   = 13                     f(8) = g(8)

f(4) = 2(4) - 3                     g(4)=\dfrac{3}{2}(4)+1

      = 5                                   = 7                       f(4) < g(4)


The only statement provided that is true is f(8) = g(8)




3 0
3 years ago
Solve the proportion below. 7/x=19
alexgriva [62]

Answer:

The value of x is approximately 0.3684.

Step-by-step explanation:

Given:

\frac{7}x}=19

We need to solve the proportion.

Solution:

Now we can see that;

In given equation one number is fraction and other number is whole number.

Now To make whole number into fraction we will divide by 1.

hence the whole number will be equal to;

19=\frac{19}{1}

Now the new equation will be;

\frac{7}{x}=\frac{19}{1}

Now by cross multiplication we get;

7\times1=19\times x\\\\7=19x

Now dividing both side by 19 we get;

\frac{7}{19}=\frac{19x}{19}\\\\x\approx0.3684

Hence the value of x is approximately 0.3684.

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