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SCORPION-xisa [38]
3 years ago
12

Patricia has $425.82 in her checking account. How much does she have in her account after she makes a deposit of $120.75 and a w

ithdrawal of $185.90?
Mathematics
2 answers:
nikklg [1K]3 years ago
7 0
425.82
120.75
 546 .57
-185.90
$360.67
fenix001 [56]3 years ago
7 0

Answer:

$360.67

Step-by-step explanation:

Given: Patricia has $425.82 in her checking account.

To Find: How much does she have in her account after she makes a deposit of $120.75 and a withdrawal of $185.90

Solution:

Amount Patricia has in her account = \$ 425.82

Amount in patricia's account after deposit,

amount deposited in account = \$ 120.75

New Amount = Amount in bank + Amount deposited

                       = 425.82+120.75

                        =\$ 546.57

Amount in patricia's account after withdrawal,

amount withdrawal from account = \$ 185.90

New Amount = Amount in bank - Amount withdrawal

                      = 546.57-185.90

                      =\$ 360.67

She is left with $360.67 after both transactions

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Which shows the image of RST after the rotation (x, y) (y, -x)
Wittaler [7]

Answer:

Option A shows the image of RST after the rotation

Step-by-step explanation:

Coordinates of S=(1,3)

Coordinates of R = (-2,1)

Coordinates of T = (-1,7)

We are given that after rotation(x,y)→(y,-x)

So, The new coordinates after rotation will be :

Coordinates of S'=(3,-1)

Coordinates of R'= (1,2)

Coordinates of T'= (7,1)

These are the coordinates of triangle of Option A

So, Option A is true .

Hence Option A shows the image of RST after the rotation

3 0
3 years ago
Read 2 more answers
In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= 2 cm.
konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

BC^2=BD\cdot AB.

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

x^2=(3-x)\cdot 3,\\ \\x^2=9-3x,\\ \\x^2+3x-9=0,\\ \\D=3^2-4\cdot (-9)=9+36=45,\\ \\\sqrt{D}=\sqrt{45}=3\sqrt{5},\\ \\x_1=\dfrac{-3-3\sqrt{5} }{2}0.

Take positive value x. You get

AD=BC=\dfrac{-3+3\sqrt{5} }{2}\ cm.

2. According to the previous theorem,

AC^2=AD\cdot AB.

Then

AC^2=\dfrac{-3+3\sqrt{5} }{2}\cdot 3=\dfrac{-9+9\sqrt{5} }{2},\\ \\AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

Answer: AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

CD^2=AD\cdot DB,\\ \\2^2=AD\cdot (3-AD),\\ \\AD^2-3AD+4=0,\\ \\D

This means that you cannot find solutions of this equation. Then CD≠2 cm.

8 0
3 years ago
Read 2 more answers
Reduce to the lowest term: 30/40
natulia [17]

Answer:

3/4

Step-by-step explanation:

Reduce both the numerator and the denominator by 10, their greatest common factor.

6 0
3 years ago
Bella saw that 7 out of 11 people brought an umbrella to the beach. There 99 people there. How many of them did not have a beach
Alinara [238K]
Hello!

7 out of 11 people brought an umbrella to the beach

this is a fraction of 7/11

We multiply this by 99 to get how many people brought an umbrella out of 99

7/11 * 99 = 63

You subtract this from 99 to see how many did not have an umbrella

99 - 63 = 36

The answer is 36 people

Hope this helps!
7 0
3 years ago
What is the maximum number of snowmen they can make?
Anastasy [175]
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3 0
3 years ago
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