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3 years ago

A basket contains 16 pieces of fruit .1/4 are bananas, 1/2 are apples and the rest are oranges. How many oranges are there?

1 answer:

7 0

$x-\ number \of\ oranges\\\\
x=16-(\frac{1}{4}*16+\frac{1}{2}*16)\\\\
x=16-(4+8)\\\\x=16-12=4\\\\ There\ are\ 4\ oranges.$

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kvv77 [185]

Step-by-step explanation:

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6 0

3 years ago

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What is the equation of the line that passes through (2, 7) and is perpendicular to y= -5

timofeeve [1]

Answer:

x = 2

Step-by-step explanation:

y = - 5 is a horizontal line parallel to the x- axis.

A line perpendicular to it will be a vertical line parallel to the y- axis with equation

x = c

Where c is the value of the x- coordinates the line passes through.

The line passes through (2, 7) with an x- coordinate of 2, thus

x = 2 ← is the equation of the perpendicular line

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3 years ago

A square pyramid is shown sitting on its base.

allochka39001 [22]

Answer:

Area of Pyramid = 384 cm²

Step-by-step explanation:

Given

Shape: Square Pyramid

Base: 12 cm

Height: 10 cm

Required

The Surface area.

The surface area of the pyramid is calculated by

1. Calculating the area of the base square

2. Calculating the area of the triangles

3. Adding (1) and (2) above

Having highlighted these points,

Step 1: First we calculate the area of the base square

The dimension of the square is 12cm x 12cm

Let L represent the length of the square (L = 12 cm)

So, Area = L * L

Area = 12 cm * 12 cm

Area = 144 cm²

Step 2: There are four triangles in the above pyramid (because the base is a square; and a square has four sides)

The dimension of each triangle is

Base: 12 cm

Height: 10 cm

First, we calculate the area of one triangle

Area = 0.5 * base * height

Area = 0.5 * 12 cm * 10 cm

Area = 60 cm²

If the area of 1 triangle is 60 cm², the area of 4 triangles would be

Area = 4 * 60 cm²

Area = 240 cm²

Step 3: Adding (1) and (2) above

Area of Pyramid = Area of base square + Area of triangles

Area of Pyramid = 144 cm² + 240 cm²

Area of Pyramid = 384 cm²

Hence, the surface area of the pyramid is 384 cm²

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3 years ago

3. Define a variable, write an equation, and solve the problem. Carla began a

faust18 [17]

Answer:

Carla has been running 7 miles each day for 13 days.

Step-by-step explanation:

Carla ran 3 miles on her first day, 5 miles on her second day and then 7 miles each day onward.

Let the number of days she ran 7 miles each day = x

Total distance run by Carla = 3 + 5 + 7(x)

= 8 + 7x

If her log book shows that she has run total distance = 99 miles

Equation representing her total run will be,

8 + 7x = 99

7x = 99 - 8

7x = 91

x = $\frac{91}{7}$

x = 13 days

Therefore, Carla has been running 7 miles each day for 13 days.

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3 years ago

The sum of two numbers is 17<br> The difference of those same two numbers is 3

taurus [48]

The two numbers are 10 and 7.

10+7=17 and 10-7=3

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3 years ago

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