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bonufazy [111]
2 years ago
5

How wide is the gate

Mathematics
1 answer:
nevsk [136]2 years ago
5 0
12 cm long and 7 wide
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How many kilograms of coffee worth 40/kg must be mixed with coffee worth $11/kg to give 12kg of coffee worth $9.50/kg
Kazeer [188]

Answer:

0.62kg

Step-by-step explanation:

Let

x = 40/kg coffee

y = 11/kg coffee

two equations can be derived from the question

x + y = 12 equation 1

40x + 11y = 114 (9.5 x 12)  equation 2

multiply equation 1 by 11

11x + 11y = 132 equation 3

subtract eqn 3 from eqn 2

29x = 18

divide both sides of the equation by 29

x = 0.62kg

4 0
2 years ago
What is 2(6+7)= 3(5+2)
Komok [63]

Solution:

2(6+7)= 3(5+2)

Step ; 1 { Solving first Term i.e LHS }

LHS : 2 ( 6 + 7)

☞ 2 ( 13)

☞ 2 × 13

☞ 26

Now, RHS ; 3 ( 5 + 2)

☞ 3 ( 7)

☞ 21

From Equation 1 and 2, We can LHS and RHS are not Equal.

Therefore, 26≠ 21.

7 0
3 years ago
If the perimeter of this triangle is to be no more than 77 feet, write an inequality and
Sergio039 [100]

Given:

Consider the sides of the triangle are 4x+10, 2x-5 and 18 (in feet).

Perimeter of this triangle is to be no more than 77 feet.

To find:

The inequality and solution of the inequality.

Solution:

Perimeter of a triangle is the sum of all side.

Perimeter of given triangle =(4x+10)+(2x-5)+18

Perimeter of this triangle is to be no more than 77 feet. It means perimeter must be less than or equal to 77.

(4x+10)+(2x-5)+18\leq 77

(4x+2x)+(10-5+18)\leq 77

6x+23\leq 77

6x\leq 77-23

6x\leq 54

Divide both sides by 6.

x\leq \dfrac{54}{6}

x\leq 9

Therefore, the required inequality is (4x+10)+(2x-5)+18\leq 77 and the solution is x\leq 9.

8 0
3 years ago
A painter designs a mural with the shape shown below. One pint of paint will cover 50 square feet. How many whole pints of paint
shutvik [7]

Answer:

You need the total of square feet of the mural before you can divide 50 square feet to it and get your answer of how many pints of paint you will need.

For example.

Mural size is 2800 square feet

1 pint per 50 square feet

Work out problem.

2800 square feet ÷ 50 square feet= ?

 = 56 pints of paint

5 0
2 years ago
Tanner is preparing dinner plates. He has 36 pieces of chicken and 16 rolls. If he wants to make all the plates identical
kherson [118]

Answer:

4

Step-by-step explanation:

First, we find the greatest common factor of 36 and 16.

36 = 2^2 * 3^2

16 = 2^4

GCF = 2^2 = 4

He can make 4 plates.

5 0
2 years ago
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