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ddd [48]
3 years ago
12

two and a half times a number plus six is equal to three times the same number plus four and a quarter​

Mathematics
1 answer:
Daniel [21]3 years ago
8 0

Answer:

2(1/2)x + 6 = 3x + 4(1/4)

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Add the equations. What value belongs in the green box? 3x + 2y = 9 -x - 2y = 4 [?] + [?] = [?] A. 4x B. 2x C. -3x D. -2x​
Naddika [18.5K]

Consider the first blank is the green box.

Given:

The equations are

3x+2y=9

-x-2y=4

To find:

The value belongs in the green box

Solution:

We have,

3x+2y=9        ...(i)

-x-2y=4        ...(ii)

Adding (i) and (ii), we get

3x+2y-x-2y=9+4

(3x-x)+(2y-2y)=13

2x+0=13

So, the value for the first black is 2x. It means the value belongs in the green box is 2x.

The values of three blanks are 2x, 0 and 13 respectively.

Therefore, the correct option is B.

6 0
3 years ago
Evaluate the expression 4x^2-6x+7 if x = 5
saveliy_v [14]

Answer:

77

Step-by-step explanation:

4x^2-6x+7

Let x = 5

4* 5^2-6*5+7

4 * 25 -30 +7

100-30+7

7-+7

77

5 0
3 years ago
Rectangle A has one side which is 6cm long and the other is (x+2)cm long. Rectangle Y has sides of length (2x+1) and 3cm, If the
gregori [183]
Hello, 

Rectangle A:           6cm                  (x+2)cm
Rectangle B:           3cm                  (2x+1)cm

The formula for the perimeter of a rectangle is: P=2(base+height)

Then:

P_A=2(b+h) \\ P_A=2*[6+(x+2)] \\ P_A=2*(x+8) \\ P_A=2x+16 \\  \\  \\ P_B=2(b+h) \\ P_B=2*[3+(2x+1)] \\ P_B=2*(2x+4) \\ P_B=4x+8


But we know that the perimeters are the same, so:

P_A=P_B \\ 2x+16=4x+8 \\ 8=2x \\ \boxed{x=4} \\  \\ Replacing:  \\  \\ Lenght\,\,of\,\,A=(x+2)cm\\ Lenght\,\,of\,\,A=(4+2)cm\\ \boxed{Lenght\,\,of\,\,A=6cm}\\  \\ Lenght\,\,of\,\,B=(2x+1)cm\\ Lenght\,\,of\,\,B=(2*4+1)cm\\ \boxed{Lenght\,\,of\,\,B=9cm}

With the answer of A, we realize that this figure is actually a square.
4 0
4 years ago
In the first third of the project Morgan had used 9 gallons of pain
Setler79 [48]
The first answer to the first question is 27
the second answer to the second question is 2,875 million km
the third answer to the third question is <span>31680000</span>
8 0
3 years ago
Equivalnt Expressions with Exponents
Eddi Din [679]

Answer:

Um i cant see the picture

Step-by-step explanation:

4 0
3 years ago
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