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3 years ago

Joe bought some CD's and DVD's at the store.

Mathematics

1 answer:

Elina [12.6K]3 years ago

7 0

Answer: x=8 and y=4

Step-by-step explanation:

x+y=12 x=12-y x=12-4

14x+22y=200 x=8

14(12-y)+22y=200

168-14y+22y=200

-168 -168

-14y+22y=32

8y=32

8y/8=32/8

y=4

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Shtirlitz [24]

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6 0

3 years ago

Read 2 more answers

1.Write the expression in expanded form. The subscript number can be write in

enyata [817]

Answer:

(a) Expanded form:

$((X_1 + X_1Y_1) - X_1Z_1) + ((X_2 + X_2Y_2) - X_2Z_2) + ((X_3 + X_3Y_3) - X_3Z_3) + ((X_4 + X_4Y_4) - X_4Z_4)$

(b) The value of the expression: -21

Step-by-step explanation:

Given

$\sum \limit^4_{i=1}\ ((X_i+X_iY_i) - X_iZ_i)$

Solving (a): The expanded form:

This means that we substitute the values of i from 1 to 4 in the above expression.

So, the expression becomes:

$((X_1 + X_1Y_1) - X_1Z_1) + ((X_2 + X_2Y_2) - X_2Z_2) + ((X_3 + X_3Y_3) - X_3Z_3) + ((X_4 + X_4Y_4) - X_4Z_4)$

Solving (b): The value of the expression

To do this, we simply substitute the given values of X1, X2....... in the expression.

This gives:

So, the expression becomes:

$((0 + 0*5) - 0*0) + ((1 + 1*26) - 1*-2) + ((12 + 12*-2) - 12*3) + ((-1 + -1*25) - -1*24)$

Simplify each bracket

$((0 + 0) - 0) + ((1 + 26) +2) + ((12 -24) - 36) + ((-1 -25) +24)$

$0 + 29 -48 -2$

$-21$

<em>Hence, the result of the expression is -21</em>

5 0

3 years ago

Find two consecutive even integers such that the square of the second, decreased by twice the first is 52

Fiesta28 [93]

Let the first integer be $x$ . So, the next even number is $x+2$

Let's translate the formula: the square of the second is $(x+2)^2$ , twice the first is $2x$ . So, the equation is

$(x+2)^2 - 2x = 52$

Expand the square to get

$x^2+4x+4-2x = 52 \iff x^2+2x+4 = 52 \iff x^2+2x - 48 = 0$

The solutions to this equations are

$x = -8,\quad x = 6$

So, the possible consecutive even numbers are

$-8\text{ and } -6\quad\text{or}\quad 6\text{ and } 8$

8 0

3 years ago

What are the domain and range of the relation

tia_tia [17]

The answer to the question

3 0

3 years ago

What is the slope of a line that passes through (6,4) and (-1, 3)

pshichka [43]

Answer:

C) 1/7

Step-by-step explanation:

so idk what the formula is called but it looks like this:

y2-y1/x2-x1 and if you plug in the numbers then you'll get the answer

3 - 4/-1 - 6 = -1/-7 = 1/7

you can also switch the numbers your answer will always be the same

4 - 3/6 - (-1) = 1/7

so the answer is c

4 0

4 years ago