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Lesechka [4]
3 years ago
10

Please helppppppppppp me so the problem its jessica said that the sum of −8+d is always positive when the value of d is greater

than 0.
• Is jessica statement always true, sometimes true or never true? Explain your answer.
• Provide at least two examples that support your answer.
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
4 0
<h3>Answer: Sometimes true</h3>

========================================================

Explanation:

-8+d is positive only when d > 8

Here's why

-8+d > 0

-8+d+8 > 0+8 .... add 8 to both sides

d > 8

So if Jessica said "d is greater than 8", then her claim would always be correct.

However, her claim is sometimes true.

Two counter examples could be when d = 1 and d = 2.

If d = 1, then -8+d = -8+1 = -7 which isn't positive.

If d = 2, then -8+d = -8+2 = -6 which also isn't positive.

Basically if d is anything smaller than 8, then you'll have -8+d be negative.

If d is something larger than 8, say d = 9, then -8+d = -8+9 = 1 which is finally positive.

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After a 90% reduction, you purchase a new soft drink machine on sale for $66. What was the original price of the soft drink mach
Reptile [31]

Answer:

<u>$660.</u>

Step-by-step explanation:

So when we apply a discount to a product we multiply the price of the product (let's all is x) for the percentage of the discount (let's apply 90% as the probnlem says) so then we have the following operation:

x ⋅ (1-0.9) = y

Variable y is the price at which you bought the product, it's $66, on this case. Therefore, this is the expression we have:

x ⋅ (1-0.9) = $66

Now, to get the original value of the product (x), we solve the equation for x:

x ⋅ (1-0.9) = $66

x= $66 / (1-0.9)

x= $66 / (0.1)

x= <u>$660</u>

<u>• Why did we multiply by 1-0.9?</u>

This is because we were looking for the 10% of the original price, since it's a 90% discount. A simple way to solve the problem would've been to just divide the price by 0.1 (10%), because that's what remains after you discount 90% of the price.

-------------------------------------------------------------------------------------------

A different example would be the following:

<u>What was the original price of a product bought for $48 if it has a 60% discount?</u>

x is original price.

Since a 60% discount was applied, 40% of the price remains at full price. Therefore, we multiply the original price (x) by 40%:

x ⋅ 40%= $48

x= $48 / 40%

x= $48 / 0.4

x= 120

<u>$120 was the original price.</u>

4 0
2 years ago
2/8 and 1/2 write &lt; or &gt;
Evgesh-ka [11]

Answer:

0.5 > 0.25

Step-by-step explanation:

2/8 = 1/4 = 0.25

1/2 = 0.5

5 0
2 years ago
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Can anyone explain step by step how to get this answer?<br><br><br> Will mark branliest!!
Y_Kistochka [10]

Answer:

Step-by-step explanation:

28°

4 0
3 years ago
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Plane A leaves Tulsa at 2:00 p.m., averaging 300 mph and flying in a northerly direction. Plane B leaves Tulsa at 2:30 p.m., ave
Musya8 [376]

Answer 1061

Step-by-step explanation:

4 0
3 years ago
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Hey ok i need help on this question ive been stuck on it for a couple minutes haha
Len [333]

Answer:

The side s has a length of 4 and side q has a length of 4\sqrt{3} ⇒ F

Step-by-step explanation:

In the 30°-60°-90° triangle, there is a ratio between its sides

side opp (30°) : side opp (60°) : hypotenuse

       1               :         \sqrt{3}            :        2

In the given triangle

∵ The side opposite to 30° is s

∵ The side opposite to 60° is q

∵ The hypotenuse is 8

→ Use the ratio above to find the lengths of s and q

side opp (30°) : side opp (60°) : hypotenuse

       1               :         \sqrt{3}            :        2

       s               :          q             :        8

→ By using cross multiplication

∵ s × 2 = 1 × 8

∴ 2s = 8

→ Divide both sides by 2

∴ s = 4

∴ The length of s is 4

∵ q × 2 = \sqrt{3} × 8

∴ 2q = 8\sqrt{3}

→ Divide both sides by 2

∴ q = 4\sqrt{3}

∴ The length of q is 4\sqrt{3}

7 0
3 years ago
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