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solong [7]
3 years ago
8

Ms Walsh has 2 separate 7 foot boards.she needs to cut pieces that are 11 inches long from the boards.what is the greatest numbe

r of 11-inch pieces she can cut from 2 boards
Mathematics
1 answer:
vazorg [7]3 years ago
5 0
Ms. Walsh can get 12 11 inch boards
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4x-5=7+4y<br> How do you solve?
solong [7]
 solve for x.

4x−5=7+4y

Add 5 to both sides.

4x−5+5=4y+7+5

4x=4y+12

Divide both sides by 4.

4x/4=4y+12/4

x=y+3

-----------------------------------------------------
Have a nice day! :)

5 0
4 years ago
Select all of the statements that are true for the given parabola
Artist 52 [7]
Answer: it is D (1,-5) I think
4 0
3 years ago
Andrew has a salary of £250. He shares his salary with his sister in the ratio 2:3 every week. He saves 12% each week. How many
exis [7]
A = Andrew
S = Sister

A : S
2 : 3
2 + 3 = 5
250 ÷ 5 = 50
2 × 50 = 100
3 × 50 = 150

∴ A : S
   100 : 150
So Andrew keeps £100 of his salary every week.

Of this, he saves 12%:
100 × (12 ÷ 100) = 12
So he saves £12 every week

360 ÷ 12 = 30
∴ it will take him 30 weeks to save £360.
6 0
3 years ago
Solve the system by using a matrix equation <br><br>7x-4y=4 <br><br>10x-6y=2
Andrei [34K]

Answer:

<h2>The solution to the system of equation is x = 8, y = 13</h2>

Step-by-step explanation:

The system of equation using matrix equation can be solved using crammers rule. Given the equation;

7x-4y=4

10x-6y=2

The equation will be rewritten in the format AX = B

matrix A will be 2*2 matrix

X will be a column matrix containing the variables

B will be a column matrix

\left[\begin{array}{cc}7&-4\\10&-6\\\end{array}\right] \left[\begin{array}{c}x&y\\\\\end{array}\right] = \right] \left[\begin{array}{c}4&2\\\\\end{array}\right]

first we will find the determinant of the matrix A

|A|=7(-6)-(10)(-4)\\|A|= -42+40\\|A|= -2

To get the value of x, we will substitute the column matrix at the right hand side to replace the first column pf matrix A, then we look for the determinant and divide the determinant by the determinant of matrix A itself.

|X|=\left[\begin{array}{cc}4&-4\\2&-6\\\end{array}\right]\\|X|= -24+8\\|X|=-16

x = |X|/|A|

x = -16/-2

x = 8

Similarly for y, we will substitute the column matrix at the right hand side to replace the second column of matrix A, then we look for the determinant and divide the determinant by the determinant of matrix A itself.

|Y|=\left[\begin{array}{cc}7&4\\10&2\\\end{array}\right]\\|Y|= 14-40\\|Y|=-26

y = |Y|/|A|

y = -26/-2

y = 13

The solution to the system of equation is x = 8, y = 13

3 0
3 years ago
Which values from the set {0, 1/2 , 2.5, 4} make the inequality 8g &lt; 4 true?
sergey [27]

Answer:

only 0

Step-by-step explanation:

8g < 4 simplifies to g < 4/8, i.e., g < 1/2

only 0 is smaller than 1/2

7 0
3 years ago
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