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Aleonysh [2.5K]
4 years ago
12

How many solutions does this equation have? 1−3(5−3x)=10+9x

Mathematics
1 answer:
Furkat [3]4 years ago
6 0

Answer: One solution.

Step-by-step explanation:

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Two cars are heading toward the same intersection. Car A travels due east at 20 miles per hour, and Car B travels due north at 5
Genrish500 [490]

Answer:

the distance between them is decreasing at a rate of 2 mph.

Step-by-step explanation:

List all given rates and the unknown rate.

Write the formula that relates the variables in the problem: x, y, and s.

There’s a right triangle in the diagram, so you use the Pythagorean Theorem:

For this problem, x and y are the legs of the right triangle, and s is the hypotenuse, so

Differentiate with respect to t.

Use the Pythagorean Theorem again to solve for s.

x = 0.4

y = 0.3

You can reject the negative answer because s obviously has a positive length. So s = 0.5.

Now you’ve got everything you need to substitute into the differentiation result and solve for ds/dt.

This negative answer means that the distance, s, is decreasing. Thus, when car A is 3 blocks north of the intersection and car B is 4 blocks east of the intersection, the distance between them is decreasing at a rate of 2 mph.

3 0
3 years ago
11 M - 30 from 20 m + 30
Luden [163]

Answer:

11 m - 20 m

Step-by-step explanation:


4 0
3 years ago
SOMEONE PLEASE HELP! A survey of a group of seventh graders and a group of teachers at a local middle school asked how many sibl
erastovalidia [21]

<em>Note: You may have missed to add the dot plots chart, so I found the chart after a little research and hence, I am attaching it and based on that dot plot chart I am solving the question which anyways would clear you concept.</em>

Answer:

''The median for the students is 2 and the median for the teachers is 3'' is the right option which compares the medians of the data.

Step-by-step explanation:

Data for students from the dot plot in order

0,\:0,\:1,\:1,\:1,\:1,\:2,\:2,\:2,\:2,\:2,\:2,\:2,\:3,\:3,\:3,\:3,\:3,\:4,\:4

Calculating Median for students:

0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4

As you can see, we do not have just one middle number but we have a pair of middle numbers i.e. 2 and 2, so the median is the average of these two numbers:

Median = (2+2)/2

            =4/2

            = 2

Data for teachers from the dot plot in order

0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 8

Calculating Median for teachers:

0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 8

As you can see, we do not have just one middle number but we have a pair of middle numbers i.e. 3 and 3, so the median is the average of these two numbers:

Median = (3+3)/2

            =6/2

            = 3

Therefore, ''the median for the students is 2 and the median for the teachers is 3'' is the right option which compares the medians of the data.

8 0
3 years ago
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What do you notice about the number of lines of symmetry in regular polygon
Alexxx [7]
Lines of symmetry in regular polygons can be formed from a vertex to an opposite vertex or a vertex to an opposite midpoint.
7 0
3 years ago
Complete the number sentence to show an example of the Distributive Property. 3×6=
Evgesh-ka [11]
If you want to know how much is 3x6 the answer is 18
7 0
3 years ago
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