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nikdorinn [45]
2 years ago
11

Latesha’s mother puts $85 in Latesha’s lunch account at school. Each day Latesha uses $3 from her account for lunch. The table b

elow represents this situation. Latesha’s Lunch Account Day Amount Left in Account ($) 0 $85 1 2 3 4 5 How much is left in Latesha’s lunch account after she has had lunch for 5 days?
A.$15
B.$67
C.$70
D.82

Mathematics
2 answers:
kkurt [141]2 years ago
6 0
The answer is C. (70).
The easiest way to explain this is to use a table. You could you other methods like by using a proportion but this way is easier.

KatRina [158]2 years ago
4 0

Answer:

=70$

Step-by-step explanation:

The total in her account at day zero =85$

Lunch for five days= 3$×5

=15$

Total in her account= Initial amount - Expenditure on lunch

=85$-15$

=70$

The balance in Latesha's Lunch Account after having lunch for five day=70$

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381.10-214.43 equals
dmitriy555 [2]

Answer:

166.67

Step-by-step explanation:

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2 years ago
A segment has endpoints A (-1, 1) and B (8, 4) . If the segment is divided into four equal parts, the coordinates of the point c
riadik2000 [5.3K]

Line is divided into 4 equal parts.

we have to find a point which is closest to point A.

So that means required point P(x,y) is at 1 unit away from A(-1,1) and 3 unit away from B(8,4)

Now we just need to use section formula to get the coordinate of required point using m1=1 and m2=3

\left ( \frac{m_1x_2+m_2x_1}{m_1+m_2}  , \frac{m_1y_2+m_2y_1}{m_1+m_2} \right )

= \left ( \frac{1*8+3*(-1)}{1+3}  , \frac{1*4+3*1}{1+3} \right )

= \left ( \frac{8-3}{4}  , \frac{4+3}{4} \right )

= \left ( \frac{5}{4}  , \frac{7}{4} \right )

So the final answer is \left ( \frac{5}{4}  , \frac{7}{4} \right ).

6 0
2 years ago
Read 2 more answers
The ratio of the radii of two similar cylinders is 3:5. The volume of the smaller cylinder is 54pi cubic centimeters. Find the v
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5/3 = 1.66667

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Angela is getting a pedicure at a spa that also offers massages where customers pay by the minute. If Angela only gets a pedicur
saveliy_v [14]
This is an expression if she only gets pedicure
y = 35

If she wants to get massage, multiply the cost for a minute with the number of minutes.
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5 0
2 years ago
This line plot shows something about trails in a state park. What is true about the data in this line plot?
Zepler [3.9K]

Answer:

The total length of the Dogwood Trail is 24 kilometers

The difference between the lengths of the trails is 6 kilometers

Step-by-step explanation:

<u><em>The complete and correct question is</em></u>

The diagram shows two different nature trails in a state park. The solid line shows the Dogwood Trail. The dashed line shows the Elm Trail.

Which of the following statements are true about the lengths of the trails? Check all that apply.

1.The total length of the Dogwood Trail is 16 kilometers.

2.The total length of the Dogwood Trail is 24 kilometers.

3.The Elm Trail is longer than the Dogwood Trail.

4.The difference between the lengths of the trails is 2 kilometers.

5.The difference between the lengths of the trails is 6 kilometers.    

<u><em>The picture in the attached figure</em></u>

step 1

Find the value of a

Applying the Pythagorean Theorem in the right triangle ABC

13^2=a^2+5^2\\a^2=169-25\\a^2=144\\a=12\ km

step 2

Find the value of b

Applying the Pythagorean Theorem in the right triangle CDE

5^2=b^2+3^2\\b^2=25-9\\b^2=16\\b=4\ km

step 3

Find the total length of the Dogwood Trail (solid blue line)

The total length is equal to

AD=AB+BC+CE+ED ---> by segment addition postulate

substitute the given values

AD=a+5+b+3=(a+b+8)\ km

substitute the value of a and b

AD=(12+4+8)=24\ km

step 4

Find the total length of the Elm Trail  (dashed red line)

The total length is equal to

AD=AC+CD ---> by segment addition postulate

substitute the given values

AD=13+5=18\ km

<u><em>Verify the following statements</em></u>

Part 1) The total length of the Dogwood Trail is 16 kilometers

The statement is false

Because

The total length of the Dogwood Trail is 24 kilometers (see the explanation)

Part 2) The total length of the Dogwood Trail is 24 kilometers

The statement is true (see the explanation)

Part 3) The Elm Trail is longer than the Dogwood Trail

The statement is false

Because

The Elm Trail is smaller than the Dogwood Trail

18\ km < 24\ km

Part 4) The difference between the lengths of the trails is 2 kilometers

The statement is false

Because

The difference is equal to

24-18=6\ km

Part 5) The difference between the lengths of the trails is 6 kilometers

The statement is true

Because

The difference is equal to

24-18=6\ km

4 0
2 years ago
Read 2 more answers
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