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3 years ago

11. Sylvia Norton's account

Mathematics

1 answer:

trasher [3.6K]3 years ago

5 0

Answer:

Withdrawals: $346.48

Step-by-step explanation:

862.91 + 794.26 = 1657.17

1657.17

- 1310.69 = $346.48

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One base of a trapezoid is 8 cm longer than the other. The height of the trapezoid is 2 cm longer than the shortest base. If the

Hitman42 [59]

Answer:

Step-by-step explanation:

Let's call the shortest side a. The longest base, b, is 8cm longer than a. The height, h, is 2cm longer than a.

b = a + 8

h = a + 2

A = (a + b)h/2

48 = (a + (a+8))(a+2)/2

= (2a+8)(a+2)/2

= (2a^2+12a+16)/2

48 = a^2+6a+8

a^2+6a-40=0

Now, we factor this:

(a + 4)(a - 10)=0

a = -4, 10

a (length) cannot be a negative no. so the only possible answer is a = 10.

b = 10 + 8 = 18

h = 10 + 2 = 12

The answer is B

Hope this helps!

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3 years ago

What is 9 multiplied by 1/8 as a mixed number

Komok [63]

Answer:

1 1/8

Step-by-step explanation:

9* 1/8

9/8

How many times does 8 go into 9

1 *8 =8

9-8 =1 There is 1 left over. The left over part goes over the denominator

1 1/8

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3 years ago

What is the value of x for y = -10x + 16 when y = -2?

zepelin [54]

9514 1404 393

Answer:

x = 1.8

Step-by-step explanation:

Put the known value in the equation and solve for x.

y = -10x +16

-2 = -10x + 16 . . . . . use -2 for y

-18 = -10x . . . . . . . . subtract 16

1.8 = x . . . . . . . . . . divide by -10

The value of x is 1.8 when y = -2.

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3 years ago

A shopkeeper allows 15% discount on the marked price, still he manages to have 7% profit. How much high did he mark his goods ab

lianna [129]

Answer: $25.9\%$

Step-by-step explanation:

Given

Shopkeeper allows 15% discount on the marked price and still manages a profit of 7%

Suppose the marked price is $x$

So, the selling price is $(1-0.15)x=0.85x$

Suppose the cost price is $y$

$\Rightarrow \dfrac{0.85x-y}{y}=7\%\\\\\Rightarrow \dfrac{0.85x}{y}-1=0.07\\\\\Rightarrow \dfrac{0.85x}{y}=1.07\\\\\Rightarrow y=\dfrac{0.85x}{1.07}\\\\\Rightarrow y=0.794x$

So, the percentage the shopkeeper marked his goods above cost price

$\Rightarrow \dfrac{x-y}{y}\times 100\\\\\Rightarrow \dfrac{x-0.794x}{0.794}\times 100\\\\\Rightarrow \dfrac{0.2056}{0.794x}\times 100\\\\\Rightarrow 25.89\%\approx 25.9\%$

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3 years ago

Line Q is represented by the following equation: 2x + y = 11 Which equation completes the system that is satisfied by the soluti

Mashcka [7]

X+y=8
this is because

x=3 y=5

3+5=8

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4 years ago

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