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jok3333 [9.3K]
3 years ago
9

If y represents a number, write an expression for 4 more than 3 times the number

Mathematics
1 answer:
Kazeer [188]3 years ago
6 0

We need to multiply Y by 3 since it says "3 times the number".

3Y; next we need to add 4 since it says 4 more.

3y+4; the reason I knew to put it in this order is because it said 4 more than 3 times, which means you add 4 after you multiply.

The expression is 3Y+4

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(5x - 2)^2 = 15

Square root both sides:
5x - 2 = \pm\sqrt{15}

Add 2 to both sides:
5x = pm\sqrt{15} + 2

Divide both sides by 5:
x =  \dfrac{ \pm\sqrt{15} + 2}{5}

Answers:
x = \dfrac{ \sqrt{15} + 2}{5} \ or \ \dfrac{ - \sqrt{15} + 2}{5}

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Kayla has 1\frac{3}{7} cups of yogurt to make smoothies. Each smoothie uses \frac{1}{4} cup of yogurt. What is the maximum numbe
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Answer: The maximum number of smoothies is 6 cups

Step-by-step explanation: The quantity of yogurt Kayla has is 1³/₇ cups and she needs to make smoothies that would require, 1/4 cup. The number of smoothies she can make from this available quantity can be mathematically expressed as follows;

Number of smoothies = Total Quantity/Quantity per cup

So if we represent Total quantity (1 ³/₇ cups) by x and the quantity per cup (1/4) by y, then the number of smoothies she can make from her available amount of yogurt can be expressed as follows;

Number of smoothies = x/y

The reason is simple, Kayla can determine how many cups of smoothies she can make provided she knows how much quantity each cup of smoothie would require. That means, if for example she has 10 cups of yogurt and each smoothie requires 5 cups, she simply needs to find out how many 5 cups she can get out of 10 cups, which now translates into 10 divided by 5. Similarly, she has 1 ³/₇ cups of yogurt and to determine how many ¹/₄ cups can come out of this she simply needs to divide the total quantity of yogurt by the amount each cup requires, which bring us back to the equation;

Number of smoothies = x/y

Where x = 1 ³/₇ cups of yogurt and y = ¹/₄ cup of yogurt

Number of smoothies = 1 ³/₇÷ ¹/₄

Number of smoothies = (¹⁰/₇) x (⁴/₁)

Number of smoothies = 40/7

Number of smoothies = 5 ⁵/₇

The maximum number of smoothies Kayla can make is 6 cups, because the result shows 5 cups and a fraction which is greater than half a cup. Therefore the last one that measures 5/7 of a cup shall be the sixth one.

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