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2 years ago

Solve for a. 7a-2b = 5a b

Mathematics

2 answers:

Nookie1986 [14]2 years ago

8 0

For this case we have the following expression:

$7a-2b = 5ab$

From here, we must clear the value of a.

We then have the following steps:

Place the terms that depend on a on the same side of the equation:

$7a - 5ab = 2b$

Do common factor "a":

$a (7 - 5b) = 2b$

Clear the value of "a" by dividing the factor within the parenthesis:

$a =\frac{2b}{7-5b}$

Answer:

The clear expression for "a" is given by:

$a =\frac{2b}{7-5b}$

Fittoniya [83]2 years ago

8 0

Answer: The required value of a is $\dfrac{2b}{7-5b}.$

Step-by-step explanation: We are given to solve the following equation for the value of a:

$7a-2b=5ab~~~~~~~~~~~~~~~~~~~~~(i)$

Since there are two unknowns and only one equation , so the value of a will definitely contain the value of b.

The solution of equation (i) for a is as follows:

$7a-2b=5ab\\\\\Rightarrow 7a-5ab=2b\\\\\Rightarrow a(7-5b)=2b\\\\\Rightarrow a=\dfrac{2b}{7-5b}.$

Thus, the required value of a is $\dfrac{2b}{7-5b}.$

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This is harder so i put more points

Inessa [10]

Answer:

Sheet metal costs $20 per square foot.

Step-by-step explanation:

7.6x - 2.3x = 106

We are finding the value of x.

5.3x = 106

Divide both sides by 5.3.

x = 106 ÷ 5.3

x = 20

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1 year ago

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Sasha has 3.20 in U.S. coins. She has the same number of quarters and nickels. What is the greatest number of quarters she could

RSB [31]

Answer:

10 quarters = $2.50

10 nickels = $0.50

that leaves $0.20 for other coins (dimes / pennies)

Step-by-step explanation:

First, suppose she has only quarters and nickels and no other coins. Then if C is the identical number of coins of each type, then 5C + 25C = 320, so 30C = 320 and 3C = 32, but there is no integer solution to this. So she must have at least one other type of coin.

Assume she has only quarters, nickels, and dimes. Then if D is the number of dimes, 5C + 25C + 10D = 320, which means 30C + 10D = 320, or 3C + D = 32. The smallest D can be is 2, leaving 3C = 30 and thus C = 10. So in this scenario she would have 10 quarters, 10 nickels, and two dimes to make $2.50 + $0.50 + $0.20 = $3.20.

This has to be the highest number, because if she had 11 quarters and 11 nickels, that alone would add up to 11(0.25) + 11(0.05) = $3.30, which would already be too much.

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2 years ago

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LeAnn is purchasing giftwrap for a box that measures 8 inches long, 6 inches wide, and 6 inches tall. Calculate the total area o

Pavel [41]

Let

L---------> the length side of the box

W--------> the width side of the box

H-------> the height of the box

we know that

$L=8\ in\\W=6\ in\\H=6\ in$

the surface area of the box is equal to

$S=2*area\ of\ the\ base+perimeter\ of\ the\ base*H$

Find the area of the base

$A=L*W=8*6=48\ in^{2}$

Find the perimeter of the base

$P=2*L+2*W=2*8+2*6=28\ in$

Find the surface area

$S=2*48+28*6$

$S=264\ in^{2}$

therefore

the answer is

the total area of the box that will be covered in gift wrap is $264\ in^{2}$

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Use complete sentences to describe the transformation that maps ABCD onto its image.

Lapatulllka [165]

General Idea:

When a point or figure on a coordinate plane is moved by sliding it to the right or left or up or down, the movement is called a translation.

Say a point P(x, y) moves up or down ' k ' units, then we can represent that transformation by adding or subtracting respectively 'k' unit to the y-coordinate of the point P.

In the same way if P(x, y) moves right or left ' h ' units, then we can represent that transformation by adding or subtracting respectively 'h' units to the x-coordinate.

P(x, y) becomes $P'(x\pm h, y\pm k)$ . We need to use ' + ' sign for 'up' or 'right' translation and use ' - ' sign for ' down' or 'left' translation.

Applying the concept:

The point A of Pre-image is (0, 0). And the point A' of image after translation is (5, 2). We can notice that all the points from the pre-image moves 'UP' 2 units and 'RIGHT' 5 units.

Conclusion:

The transformation that maps ABCD onto its image is translation given by (x + 5, y + 2),

In other words, we can say ABCD is translated 5 units RIGHT and 2 units UP to get to A'B'C'D'.

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Lyrx [107]

B. The total area painted is 864; they must buy two cans of paint.

Step-by-step explanation:

Step 1:

A rectangle's area can be calculated by multiplying its length and its width. The wall is made up of 5 different types of rectangular walls. All walls are 8 feet tall but the length varies.

Step 2:

The area of the 20 feet long wall = $(length)(width)= (20)(8) =160,$