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eimsori [14]
3 years ago
11

Any time Speedy the Sloth is not sleeping, she drinks chamomile tea at a steady rate of 2/7 of a cup per hour. Yesterday, she dr

ank 1 cup. If today she drank 17/42 of a cup more than yesterday, how long (in minutes) did she stay awake today?
Mathematics
1 answer:
kari74 [83]3 years ago
5 0

Answer:

295 minutes

Step-by-step explanation:

It is given that Speedy the Sloth drinks tea at a steady rate of 2/7 cups per hour.

Yesterday she drank 1 cup and today she drank 17/42 of a cup more than yesterday. This means today she drank 1 + 17/42 cups.

Time taken to drink 2/7 of a cup = 1 hour = 60 minutes

Time taken to drink 1 cup = \frac{60}{2/7}=210 minutes

Time taken to drink 1+17/42 cups = 210\times1\frac{17}{42}=295 minutes

Since she drinks tea as long as she stay awakes. This means, she stayed awake for 295 minutes today.

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Solve for x please help !!!!!!!
exis [7]

Answer:

x ≈ 20.31

Step-by-step explanation:

By applying tangent rule in the given right triangle,

tan(55°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

Measure of the opposite side = 29 units

Measure of the adjacent side = x

Substitute these values in the expression,

tan(55) = \frac{29}{x}

x = \frac{29}{tan(55)}

x = 20.306

x ≈ 20.31

5 0
3 years ago
L thought that maybe it was *C* but I just want to be sure of my answer
ioda
You are right, it's C. I checked in geogebra bro/girly/dude.

Hope this helps !

Photon
7 0
3 years ago
April worked 1 1/2 times as long on her math project as did Carl. Debbie worked 1 1/4 times as long as Sonia. Richard worked 1 3
vlada-n [284]

Answer:

        Student                                                            Hours worked

             April.                                                                  7\frac{7}{8} \ hrs

        Debbie.                                                                   8\frac{1}{8}\ hrs

        Richard.                                                                   7\frac{19}{24}\ hrs

Step-by-step explanation:

Some data's were missing so we have attached the complete information in the attachment.

Given:

Number of Hours Carl worked on Math project = 5\frac{1}{4}\ hrs

5\frac{1}{4}\ hrs can be Rewritten as \frac{21}{4}\ hrs

Number of Hours Carl worked on Math project = \frac{21}{4}\ hrs

Number of Hours Sonia worked on Math project = 6\frac{1}{2}\ hrs

6\frac{1}{2}\ hrs can be rewritten as \frac{13}{2}\ hrs

Number of Hours Sonia worked on Math project = \frac{13}{2}\ hrs

Number of Hours Tony worked on Math project = 5\frac{2}{3}\ hrs

5\frac{2}{3}\ hrs can be rewritten as \frac{17}{3}\ hrs.

Number of Hours Tony worked on Math project = \frac{17}{3}\ hrs.

Now Given:

April worked 1\frac{1}{2} times as long on her math project as did Carl.

1\frac{1}{2}  can be Rewritten as \frac{3}{2}

Number of Hours April worked on math project = \frac{3}{2} \times Number of Hours Carl worked on Math project

Number of Hours April worked on math project = \frac{3}{2}\times \frac{21}{4} = \frac{63}{8}\ hrs \ \ Or \ \ 7\frac{7}{8} \ hrs

Also Given:

Debbie worked 1\frac{1}{4} times as long as Sonia.

1\frac{1}{4}  can be Rewritten as \frac{5}{4}.

Number of Hours Debbie worked on math project = \frac{5}{4} \times Number of Hours Sonia worked on Math project

Number of Hours Debbie worked on math project = \frac{5}{4}\times \frac{13}{2}= \frac{65}{8}\ hrs \ \ Or \ \ 8\frac{1}{8}\ hrs

Also Given:

Richard worked 1\frac{3}{8} times as long as tony.

1\frac{3}{8} can be Rewritten as \frac{11}{8}

Number of Hours Richard worked on math project = \frac{11}{8} \times Number of Hours Tony worked on Math project

Number of Hours Debbie worked on math project = \frac{11}{8}\times \frac{17}{3}= \frac{187}{24}\ hrs \ \ Or \ \ 7\frac{19}{24}\ hrs

Hence We will match each student with number of hours she worked.

        Student                                                            Hours worked

             April.                                                                  7\frac{7}{8} \ hrs

        Debbie.                                                                   8\frac{1}{8}\ hrs

        Richard.                                                                   7\frac{19}{24}\ hrs

5 0
3 years ago
Read 2 more answers
Alyssa says that n = 6 is the solution of the equation 12n = 84. How can you check whether she is correct?
Vikki [24]

Answer:

No. The answer is 72

Step-by-step explanation:

As 12x6=72

4 0
2 years ago
six men completed a task in 24 hours and 48 minutes. how long would it take four men to complete the same task
Komok [63]

Answer:

37 hours and 12 minutes

Step-by-step explanation:

six men completed a task in 24 hours and 48 minutes which means (24 x 60) + 48 = 1488 minutes

x is the number of minutes it would take 4 men to complete

6(1488) = 4x

8928 = 4x

x = 2232

x = 2220 + 12 or 37 hours and 12 minutes

8 0
2 years ago
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