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valentinak56 [21]
4 years ago
6

Peter babysits his sister on Monday and Friday. He babysits for his neighbor 40% of the days Monday through Friday. He babysits

for his sister and his neighbor on different days. On the weekend, Peter babysits 50% of the days. Choose True or False for each statement.
Peter babysits a total of 6 days each week.

Peter babysits either Saturday or Sunday.

Peter babysits 80% of the days Monday through Friday.

Peter babysits 90% of the total days each week.
Mathematics
1 answer:
saul85 [17]4 years ago
5 0

Answer:

Question 1: False

Question 2: True

Question 3: True

Question 4: False

Step-by-step explanation:

Peter babysits his sister 2 days: Monday and Friday.

He babysits for his neighbor 40% of the time between Monday through Friday. This includes 5 days. 40% of 5days = 2 days.

On the weekend, Peter babysits 50% of the days. There are 2 days in the weekend

50% × 2 days = 1 day.

Question 1: False

Altogether, Peter babysits 5 days every week.

Question 2: True

Question 3: True

Peter babysits 4 out 5 days during Monday-Friday 4/5= 80%

Question 4: False

Peter babysits 5 days out of 7 during the week. 5/7 = 71% of the days, which is less than 90%

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Find the coordinates of the circumcenter triangle abc with vertices A (0,0) B(3,0) C(3,2)
Reptile [31]

Answer:

The coordinates of the circumcenter of triangle ABC is (1.5,1).

Step-by-step explanation:

The circumcenter of triangle ABC is the point of intersection of any two perpendicular bisectors of any two sides of the given triangle.

The equation of the perpendicular bisector of side B(3,0) and C(3,2) is y=1.

Since the midpoint of AB is (3,1) and its slope is undefined. The perpendicular bisector has a slope of zero. The equation of such line is y=y_1.

Also the equation of the perpendicular bisector of A(0,0) and B(3,0) is x=1.5. The reason is that the midpoint of AB is (1.5,0) and its slope is zero. The perpendicular bisector will have an undefined slope. The equation of such line is given by x=x_1.


These two perpendicular bisectors will intersect at (1.5,1). These are the coordinates of the circumcenter of the triangle.




8 0
4 years ago
-2x+11+6x help please ASAP
Virty [35]
-2x + 11 + 6x

put the x’s together
-2x + 6x
= 4x

put them together again
4x + 11

bring 11 on other side with (-)
4x = -11

divide by 4
x = -11/4

answer
x = -11/4 or -2.75
6 0
4 years ago
Read 2 more answers
The fifth term of an arithmetic progression is 41 and the sum of the first four terms is 94. Find the common difference.​
iren [92.7K]

Answer:

d = 7

Step-by-step explanation:

The first five terms of an arithmetic progression are

a, a + d, a + 2d, a + 3d, a + 4d

Where d is the common difference

Given the fifth term term = 41, then

a + 4d = 41 → (1)

Given the sum of the first four terms = 94, then

a + a + d + a + 2d + a + 3d = 94, that is

4a + 6d = 94 → (2)

Rearrange (1) expressing a in terms of d by subtracting 4d from both sides

a = 41 - 4d → (3)

Substitute a = 41 - 4d into (2)

4(41 - 4d) + 6d = 94 ← distribute and simplify left side

164 - 16d + 6d = 94

164 - 10d = 94 ( subtract 164 from both sides )

- 10d = - 70 ( divide both sides by - 10 )

d = 7 ← common difference

6 0
4 years ago
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Fritz attended band practice for 5/6 hour. Then he went home and practiced for 2/5 as long as band practice. How many minutes di
iren2701 [21]
The answer is 1/3 SmartUnicorn101
4 0
3 years ago
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What is the slope between the points (4,–1) and (–4,3)?
alex41 [277]

The formula for slope is \frac{rise}{run}  = \frac{y2-y1}{x2-x1}.

Subtract y1 from y2. (y1= -1, y2 = 3)

3 - -1 = 4

Now subtract x1 from x2. (x1 = 4, x2 = -4)

-4 -4 = -8

Divide the difference between the y coordinates by the difference between the x coordinates.

\frac{4}{-8} or 4 ÷ -8 = -0.5

<h2>Answer:</h2>

<u>The slope between the two points is </u><u>-0.5</u><u>.</u>

Hope this helpsss

5 0
4 years ago
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