The <em>number sentence</em> represented by the <em>place value</em> blocks is Two hundred and fourty
- <em>The 10 × 10 blocks signifies the hundred place values </em>
- <em>The 10 × 1 block s represents the Tens place value </em>
Number of hundred place blocks = 2
Number of ten place blocks = 4
<u>This can be expressed thus</u> :
(2 × 100) + (4 × 10) = 200 + 40 = 240
Therefore, the Number sentence represented by the blocks is 240
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For this case we must resolve each of the inequalities and find the solution set.
Inequality 1:
We subtract 7 from both sides of the inequality:
We divide between 12 on both sides of the inequality:
Thus, the solution is given by all values of x less than
Inequality 2:
We add 8 to both sides of the inequality:
We divide between 5 on both sides of the inequality:
Thus, the solution is given by all values of x greater than
The solution set is given by:
(-∞, ) U (,∞)
Answer:
(-∞, ) U (,∞)
Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.
Step-by-step explanation:
Let,
Weight of one large bead = x
Weight of one small bead = y
According to given statement;
12x+8y=88 Eqn 1
5x+2y=25 Eqn 2
Multiplying Eqn 2 by 4
Subtracting Eqn 1 from Eqn 3
Dividing both sides by 8
Putting x=1.5 in Eqn 1
Dividing both sides by 8
Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.
Keywords: linear equation, elimination method
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The number of cubes that will fit into the shoebox is 40 cubes
<h3>How to calculate the volume of a box</h3>
Volume is the measure of a substance an object contains
Volume of the box = length * width * height
Volume of the box = 5/4 * 1 * 1/2
Volume of the box = 5/8cubic unit
<u />
<u>Determine the volume of the box </u>
Volume of the box = l³
Volume of the box = (1/4)³ = 1/64 cubic units
Number of cubes = (5/8)/(1/64)
Number of cubes = 5/8 * 64/1
Number of cubes = 5 * 8
Number of cubes = 40 cubes
Hence the number of cubes that will fit into the shoebox is 40 cubes
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