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3 years ago

6

If the following system of equations was written as a matrix equation in the form AX = C, and matrix A was expressed in the form

[a c b d] , find the value of a - b + c + d.
5x + 7y = 7
3x - 2y = 9

My main problem is understanding which numbers are a, b, c, and d.

1 answer:

FrozenT [24]3 years ago

6 0

That's what I came up with. Still not sure of my answer.

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An employee in a shoe repair store must schedule his day so that he can complete all of his work. To do that, he must know how l

sdas [7]

It takes him 17 minutes to make each shoe.

<em>How to Solve: </em>

take away the 30 min lunch break from the time becomes 11:45 to 4:00
calculate the distance from 11:45 to 4:00 which is 4 hours and 15 minutes to complete each shoe.
Convert the hours into 60 minutes each so 60*4= 240 now add the extra minutes 240+15= 255 minutes
Now divide that bye 15 shoes 255/15= 17 minutes
So it takes 17 minutes to make each shoe. :)

6 0

3 years ago

Drag each tile to the correct box.<br>Order the expressions from least value to greatest value.<br>

STatiana [176]

Answer:

-2 19/20, 2 3/5. 3.125, 10.35

Step-by-step explanation:

Let's solve each expression:

Solve:

-4.5 x -2.3

Multiply:

-4.5 x -2.3

10.35

Therefore, the simplified expression is 10.35

Solve:

5/-1.6

Divide:

5/-1.6

3.125

Therefore, the simplified expression is 3.125

Solve:

5 6/15 + (-2 4/5)

First, make the denominators of 4/5 equal to 15:

4/5 = ?/15

Multiply both the numerator and denominator by 3:

4 x 3 = 12

5 x 3 = 15

The new fraction is 12/15.

Add:

5 6/15 + (-2 12/15)

2 9/15

Simplify:

2 9/15 = 2 3/5

(divide the numerator and denominator by 3)

Therefore, the simplified expression is 2 and three-fifths.

Solve:

-3 3/10 - (-7/20)

First, make the denominators of 3/10 equal to 20:

3/10 = ?/20

Multiply both the numerator and denominator by 2:

3 x 2 = 6

10 x 3 = 20

The new fraction is 6/20.

Subtract:

-3 6/20 - (-7/20)

-2 19/20

Therefore, the simplified expression is negative 2 and nineteen-twentieths.

Order from least to greatest:

-2 19/20, 2 3/5. 3.125, 10.35

3 0

3 years ago

Wat is the answer for this question -x2 + 5x + 24.

Helen [10]

Answer:

31

Step-by-step explanation:

5 0

3 years ago

Find the values of x, y, and z. The diagram is not to scale.

Kruka [31]

we know that

The sum of the internal angles in the triangle must be $180$ degrees

see the attached figure with letters to better understand the problem

Step $1$

<u>Find the measure of the angle x</u>

In the triangle ABC

$63\°+36\°+x\°=180\°$

solve for x

$99\°+x\°=180\°$

$x\°=180\°-99\°$

$x=81\°$

therefore

<u>the answer Part a) is</u>

the measure of angle x is $81\°$

Step $2$

<u>Find the measure of the angle z</u>

we know that

$x+z=180\°$ --------> by supplementary angles

substitute the value of x

$81\°+z=180\°$

$z=180\°-81\°$

$z=99\°$

therefore

<u>the answer Part b) is</u>

the measure of angle z is $99\°$

Step $3$

<u>Find the measure of the angle y</u>

In the triangle ACD

$13\°+z\°+y\°=180\°$

solve for y

$13\°+99\°+y\°=180\°$

$112\°+y\°=180\°$

$y\°=180\°-112\°$

$y\°=68\°$

therefore

<u>the answer Part c) is</u>

the measure of angle y is $68\°$

5 0

3 years ago

Read 2 more answers

The sum of three numbers is 104. The first number is 10 less than the second. The third number is 4 times the second. What are t

AnnyKZ [126]

Answer:

The numbers are 9, 19 and 76.

Step-by-step explanation:

Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.

The first number in terms of x:

$x - 10$

The second number in terms of x:

$4x$

If we add them all up, these 3 numbers in terms of x must be equal to 104, so:

$x + (x - 10) + (4x) = 104 \\ x + x - 10 + 4x = 104 \\ 6x - 10 = 104 \\ 6x = 114 \\ x = 19$

Now that we know the second number, we can find the other numbers since we already figured out their values in terms of x:

$19 - 10 = 9$

$4 \times 19 = 76$

The first number is 9, second number 19 and the third number 76.

6 0

3 years ago