Answer:
x = 8
Step-by-step explanation:
200x - 100x + 57,600 = 60,000 - 200x
100x + 57,600 = 60,000 - 200x
300x = 2,400
x = 8
Answer:
1. Jordan threw 17 snowballs and Nicole threw 10 when you add them together you get 27 snowballs total.
2. Tyler counted 42 icicles total. 23 + 19 = 42
3. 2,262 guests visited on Saturday and Sunday.
4. It was 44 degrees Fahrenheit when Nathan got out of school.
5. It snowed 29 inches in all.
6. He spent a total of $183.00
Step-by-step explanation:
Hope that helps and have a great day! If you have any questions lemme know.
Answer: Graph D
Open holes at 1 and 3; shading in between
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Explanation:
Let p = x-1 and q = x-3
The problem we want to solve is in the form p/q < 0
Since p/q is negative, there are two cases we have to address
- Case 1) p is positive and q is negative, or,
- Case 2) p is negative and q is positive
The signs of p and q are opposite one another. Recall this is due to the fact that dividing a positive over a negative (or vice versa) leads to a negative value.
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Let's go over Case 1
If p is positive, then
p > 0
x-1 > 0
x > 1
If q is negative, then
q < 0
x-3 < 0
x < 3
Combine x > 1 with x < 3 and we get 1 < x < 3. We'll come back to this later.
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Now case 2
If p is negative, then
p < 0
x-1 < 0
x < 1
If q is positive, then,
q > 0
x-3 > 0
x > 3
We get a contradiction.
Both "p is negative" AND "q is positive" must be true at the same time. But if p is negative, then x < 1 which contradicts x > 3 (which happens when q is positive)
Put simply: case 2 is not possible. There's no way to have p be negative at the same time q is positive. This because we're wanting x to both be smaller than 1 AND also be greater than 3 at the same time.
We must rule out case 2 and side with case 1 instead.
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The conclusion of case 1 was that 1 < x < 3
The graph of this has open holes at 1 and 3 on the number line. The shading is between the open holes to represent all values between 1 and 3, excluding the endpoints. Graph D indicates these features, so that's why graph D is the answer.
Note: the open holes indicate that x = 1 and x = 3 are not part of the solution set. Another reason x = 3 is restricted is to avoid a division by zero error.
Answer:
The slope is b. 10, and the slope represents a. The total cost of the membership.
Step-by-step explanation:
It goes up by 10 every month that goes by, and the graph is labeled total cost of gym membership.
Answer:
Trees contribute to their environment by providing oxygen, improving air quality, climate amelioration, conserving water, preserving soil, and supporting wildlife. During the process of photosynthesis, trees take in carbon dioxide and produce the oxygen we breathe.
Trees give off oxygen that we need to breathe. Trees reduce the amount of stormwater runoff, which reduces erosion and pollution in our waterways and may reduce the effects of flooding. Many species of wildlife depend on trees for their habitat. Trees provide food, protection, and homes for many birds and mammals.
They give us clean water to drink, air to breathe, shade, and food to humans, animals, and plants. They provide habitats for numerous species of fauna and flora, firewood for cooking and heat, materials for buildings and places of spiritual, cultural, and recreational importance.