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igor_vitrenko [27]

3 years ago

5

Ramon wants to balance his checking account. He has $2,340 in the account. He writes a check for $140. He deposits a check for $

268. How much does Ramon have left in his checking account?

1 answer:

vesna_86 [32]3 years ago

3 0

The answer is $2468.
2340 - 140 = 2200
2200 + 268 = 2468

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5) –2x – 9y=-25<br> -4x – 9y=-23

notka56 [123]

Answer:

(-1,3)

Step-by-step explanation:

–2x – 9y=-25

-4x – 9y=-23

Multiply the second equation by -1

4x + 9y=23

Add this to the first equation

–2x – 9y=-25

4x + 9y= 23

-----------------------

2x = -2

Divide each side by 2

2x/2 = -2/2

x = -1

Now we need to find y

4x+9y = 23

4(-1) +9y = 23

-4 +9y = 23

Add 4 to each sdie

-4+4 +9y = 23+4

9y = 27

Divide each side by 9

9y/9 = 27/9

y =3

5 0

3 years ago

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Find the coordinates of the circumcenter of △PQR with vertices P(−2,5), Q(4,1), and R(−2,−3).

mel-nik [20]

Answer: (1/3,2)

Step-by-step explanation:

Let O(x,y) be the circumference of the triangle PQR,

Thus, by the property of circumcenter all the vertices of the triangle are at same distance from this circumcenter.

Thus, PO = QO

By the distance formula,

$(x+2)^2+(y-5)^2 = (x-4)^2+(y-1)^2$

$\impliesx^2+ 4x + 4 + y^2+ 25 - 10 y = x^2+16 - 8 x + y^2+1 - 2y$

$\implies 4x + 4 + 25 - 10 y = 16 - 8 x + 1 - 2y$

$\implies 4x +8x-10y+2y = 16 + 1 -25-4$

$\implies 12x - 8y = 17 - 29$

$\implies 12 x - 8 y = - 12$ ---------(1)

Similarly, QO = RO

$\implies (x-4)^2 + (y-1)^2 = (x+2)^2+(y+3)^2$

$\implies x^2 + 16 - 8x + y^2+ 1 - 2y = x^2+ 4 + 4 x +y^2+ 9 + 6 y$

$\implies 16 - 8x + 1 - 2y = 4 + 4 x + 9 + 6 y$

$\implies - 8x -4x-2y-6y=4+9-16-1$

$\implies -12 x - 8 y = 13 - 17$

$\implies 12 x + 8 y = 4$ ------------(2)

By adding equation (1) and (2),

24 x = - 8

x = 1/3

By putting this value in equation (1),

We get,

Thus, 4 - 8 y = -12

8 y = 16

y = 2

7 0

3 years ago

Solve 1 over 36 = 6x−3.<br><br> x = −5<br> x = negative 3 over 2<br> x = 7 over 2<br> x = 1

vlabodo [156]

6*(-5)-3 = -33
6*(-3/2)-3 = -12
6*(7/2)-3 = 18
6*(1)-3=3

3 0

3 years ago

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Which graph represents the function f(x)= 0.2^x + 3

Dennis_Churaev [7]

The third graph or bottom left graph represents $f(x) = 0.2^{x} + 3.$

Step-by-step explanation:

Step 1:

To determine which of the given graphs represents the equation $f(x) = 0.2^{x} + 3$ , we substitute some values in the place of x.

When $x=0,$ $f(x) = 0.2^{x} + 3, f(0) = 0.2^{0} + 3= 4.$

Anything with an exponent of 0 will equal 1.

So the graphs on the right side cannot be the answers.

Step 2:

Now we substitute another value to determine which graph represents $f(x) = 0.2^{x} + 3.$

When $x=1,$ $f(x) = 0.2^{x} + 3, f(1) = 0.2^{1} + 3= 4.2.$

The value of f(x) when $x=1$ is lesser than the value of f(x) when $x =0.$

So the third graph or bottom left graph represents $f(x) = 0.2^{x} + 3.$

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3 years ago

If one jar of peanut butter weights 1.6 pounds, how much does 5 jars of peanut butter weight?

Lady_Fox [76]

Answer:

5 × 1.6 = 8. The answer is 8 pounds.

Step-by-step explanation:

If you multiply 5 and 1.6, you get 8.

5 0

3 years ago

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