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4 years ago

Ron brought cupcakes to school to

Mathematics

2 answers:

mixer [17]4 years ago

7 0

Answer:

3/8

Step-by-step explanation:

8/8-5/8= 3/8

Schach [20]4 years ago

4 0

Answer:The fraction of the cupcakes that Ron have left to take home is 3/8

Step-by-step explanation:

Let x represent the total amount of cupcakes that Ron brought to school. By the end of the day, 5/8 of the cupcakes were gone. This means that the total mount of cupcakes that Ron had already shared is 5/8 × x = 5x/8.

The amount of cupcakes left would be x - 5x/8 = (8x - 5x)/8 = 3x/8

The fraction of the cupcakes that Ron have left to take home would be the amount that he has left divided by the initial amount. It becomes

(3x/8)/x = 3x/8 × 1/x = 3/8

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If the length of a rectangle is 5 m more than its width find the values of length and width if the area of a rectangle is 500 m²

astra-53 [7]

Answer:

Length of the rectangle =25

width of the rectangle = 20

Step-by-step explanation:

Step(i):-

Let 'x' be the width of the rectangle

Given that the length of a rectangle is 5 m more than its width

Given that Area of the rectangle = 500m²

length of a rectangle = x +5

width of a rectangle = x

Step(ii):-

Area of the rectangle = length × width

500 = x ( x+5)

x² + 5 x = 500

⇒ x² + 5 x - 500 =0

⇒ x² +25x - 20 x - 500 =0

⇒ x( x+25) -20(x+25) =0

⇒ (x-20)(x+25) =0

⇒ x =20 and x=-25

we can choose x =20

Step(iii):-

Length of the rectangle = x +5 = 20 +5 =25

width of the rectangle = 20

Final answer:-

Length of the rectangle =25

width of the rectangle = 20

3 0

3 years ago

Can someone tell me the formula of this shape so that i can solve it and would it be the ² or the ³ and last what number in this

Mademuasel [1]

Answer:

660 ft³

Step-by-step explanation:

The way I'm thinking of it, we can think of it as a triangle and then extruding out from that triangle for the length.

First, the triangle:

area = base * width / 2 = 12 * 10 / 2 = 60 ft²

volume = the triangle for the length

the length is 11 feet,

so we extrude that triangle for 11 feet to get

60 ft² * 11 ft = 660 ft³

we multiply 10 ft by 12 ft by 11 ft. there are 3 instances of ft, so the corresponding exponent is therefore ³.

another way to think of the extrusion is like a rectangular prism, the formula for a rectangular prism's volume is length * width * height. we're extruding from the bottom rectangle for the whole of the height, so we multiply the area of the bottom triangle (length * width) by height.

this might be confusing so let me know if you have any questions!

8 0

2 years ago

Whatcis 72/90 reduced

schepotkina [342]

472/90 reduced is 4/5

8 0

3 years ago

Read 2 more answers

The larger of two consecutive odd integers is four less than three times the smallest integer. Find the two integers.

ElenaW [278]

Answer: -1 and 1

Step-by-step explanation:

Let the first integer be x and the second x +2 , clearly, the larger is x + 2.

From the statement given

x + 2 = 3x + 4

x - 3x = 4 - 2

-2x = 2

x = -1

The second integer is -1 + 2 = 1

4 0

4 years ago

Ellie's Bakery is having a grand opening sale. All pastries are being discounted by 25%. Let x represent the regular price of an

Sindrei [870]

a) The expression to find the sale price of pastry = 0.75 x

b) The regular price of the pastry bought by Kimberly = $2.70

Step-by-step explanation:

Step 1 :

Let x be the regular price of the pastry in the bakery

Percentage of discount = 25%

Amount of discount = 0.25 x

The expression to find the sale price of pastry = x - 0.25 x = 0.75 x

Step 2 :

Sale price of the pastry bought by Kimberly = $2.03 = 0.75 x

To find the regular price

0.75x = 2.03

x = $\frac{2.03}{0.75}$ = 2.70

Regular price of the pastry bought by Kimberly = $2.70

Step 3 :

Answer :

a) The expression to find the sale price of pastry = 0.75 x

b) The regular price of the pastry bought by Kimberly = $2.70

8 0

3 years ago