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2 years ago

7

24. Vince spent half of the money in his wallet on a new jumper

1 answer:

11111nata11111 [884]2 years ago

5 0

Let the money alleli initially had be x

Money after buying clothes = x-(1/2)x=(1/2)x

Money spent on shoes = (1/2)x × (1/3)x=(1/6)x

Remaining money = x minus( (1/2)x + (1/6)x)= (1/3)x

Also we know the remaining money is 1000

Therefore

(1/3)x = 1000

Multiplying 3 on both sides

X = 3×1000

X = 3000

The initial amount she had is 3000

Hope this is right!!

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Use the following image to assist in your answer.<br> a =<br> - 6<br> - 9<br> - 4

vfiekz [6]

Step-by-step explanation:

Pythagoras' theorem for the smallest one :

$c^2 = 4^2 + 6^2$

$c^2 = 16 + 36$

$c^{2}$ = 52

Pythagoras' theorem for the middle one :

$b^{2}$ = $6^{2}$ + $a^{2}$

Pythagoras' theorem for the biggest one :

$(4+a)^2 = c^2 + b^2$

$16 + 8a + a^2 = 52 + b^2$

Using the formula before (for $b^2$ ) it becomes :

$16 + 8a + a^2 = 52 + (6^2 + a^2)$

$16 + 8a + a^2 = 52 + 6^2 + a^2$

$16 + 8a = 52 + 6^2$

16 + 8a = 52 + 36

16+8a = 88

8a = 88-16

8a = 72

$a = \frac{72}{8}$

a = 9

Verifying :

$b^2 = 6^2 + a^2$

$b^2 = 36 + 81$

$b^2 = 117$

$b^{2}$ = 117

The biggest one :

$(4+a)^2 = c^2 + b^2$

$(4+9)^2 = 52 + 117$

$13^2 = 169$

True

8 0

2 years ago

Hector and Francis spent a total of $47.50 at the mall. If Hector spent 50% more than Francis, how much did Francis spend at the

AveGali [126]

The answer i got was 23.75 hope this helps

6 0

3 years ago

This lesson is almost ⅔ over. Express this number as a decimal.

MissTica

Answer:

0.66666667

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

11<br> Which improper fraction is equivalent to 5 ?<br> 40

Nataly_w [17]

Answer:

211/40, B

Step-by-step explanation:

Make it an improper fraction:

5 x 40 = 200, 200 + 11 = 211

211/40, B

3 0

3 years ago

Identify the x-intercept and y-intercept of the equation below.

Radda [10]

Answer:

x intercept at (7/3 , 0)

y intercept at (0,-3)

Step-by-step explanation:

9x-7y=21

we need to find x and y intercepts

To find x intercept , plug in 0 for y

9x - 7(0) = 21

9x = 21

divide by 9 on both sides

x= 21/ 9 = 7/3

so x intercept at (7/3 , 0)

To find y intercept , plug in 0 for x

9(0) - 7(y) = 21

-7y = 21

divide by -7 on both sides

y= -3

so y intercept at (0,-3)

6 0

3 years ago