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3 years ago

You received a bill for $82.53. You prepaid on a budget plan for $110.00/ mth. How much was

Mathematics

1 answer:

Yakvenalex [24]3 years ago

8 0

Answer:192.53

Step-by-step explanation:

You just Add:

$82.53+$110.00=192.53

Your answer is: 192.53

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What is the solution of the system? Use elimination. 5x + 6y = 17 −10x − 9y = −43

shutvik [7]

By using elimination method the solution for the given equations 5x+6y=17 and -10x-9y= -43 are x=7 and y= -3.

Step-by-step explanation:

The given equations are,

$5x+6y=17$ ..................................(1)

$-10x-9y=-43$ ..............................(2)

Step:1

By elimination method,

Multiplying the equation (1) by 9 ( Eqn (1) × 9)

$45x+54y=153$ .................................(3)

Multiplying the equation (2) by -6 ( Eqn (2) × -6)

$60x+54y=258$ ................................(4)

Step:2

Subtracting the Equations (3) and (4),

$45x+54y=153$

$60x+54y=258$

( - )

( $45x-60x$ ) + ( $54y-54y$ ) = ( $153-258$ )

( $-15x$ ) = ( $-105$ )

$x = 7$

Step:3

Substitute the x=7 in equation (1),

$5x+6y=17$

( 5 × 7 ) + ( $6y$ ) = 17

$6y$ = -18

$y$ = -3

Step:4

Check for solution,

Substitute the x and y values in Eqn (1),

$5x+6y=17$

( 5 × 7 ) + ( 6 × -3 ) = 17

( 35 ) - ( 18 ) = 17

17 = 17

Result:

The solution for the equations 5x+6y=17 and -10x-9y= -43 are x=7 and y= -3.

5 0

3 years ago

Question 28 of 30Calculate the surface area in square feet of a box that measures 13 inches inlength, 11 inches in width, and 11

KATRIN_1 [288]

ANSWER:

5.65 ft²

STEP-BY-STEP EXPLANATION:

We have the following measures:

Length (l) = 13 inches

Width (w) = 11 inches

Height (h) = 11 inches

We can determine the surface area as follows:

$\begin{gathered} A=2\cdot l\cdot w+2\cdot l\cdot h+2\cdot w\cdot h \\ \\ \text{ We replacing:} \\ \\ A=2(13)(11)+2(13)(11)+2(11)(11) \\ \\ A=286+286+242 \\ \\ A=814\text{ in}^2 \\ \\ \text{ Convert inches to feet, knowing that 1 foot is equal to 12 inches} \\ \\ A=814\text{ in}^2\cdot\frac{(1\text{ ft\rparen}^2}{(12\text{ in\rparen}^2} \\ \\ A=5.65\text{ ft}^2 \end{gathered}$

Therefore, the correct answer is 5.65 ft²

7 0

7 months ago

What is the area of a rectangle that is 2 meters long and 12 meters wide?

patriot [66]

Answer:

24m²

Step-by-step explanation:

To find the area of a rectangle, we use the formula A = l * w or Area = length * width.

We know that our length is 2 meters and our width is 12 meters so we can plug these values into the formula to get our answer.

A = 2 * 12 = 24

Remember that area is measured in "square" units and must be raised to the 2nd power.