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tatuchka [14]
3 years ago
9

Five sixths of the sum of three consecutive numbers is -237.5 write an equation and solve

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
5 0
Five sos tha of sum of three. = -237.5
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There are 42 sixth-grade students and 60 fifth grade students. The students will be put in to the largest possible equal groups
scoundrel [369]

Answer:51 Groups

Step-by-step explanation:

60 students + 42 students = 102

102 divided by 2 = 51 Total groups.

5 0
3 years ago
A boat takes 4 hours to go 20 miles upstream. It can go 32 miles downstream in the same time. Find the rate of the current and t
KonstantinChe [14]
Let the boat speed in still water be b.
Let the current speed be c.
The speed going upstream is 20/4 = 5 mph.
The speed going downstream is 32/4 = 8 mph.
b - c = 5 ........(1)
b + c = 8 .......(2)
Adding equations (1) and (2) we get:
2b = 13
b = 13/2 = 6.5
Plugging in the value for b into equation (1) we find c = 1.5.
The boat speed in still water is 6.5 mph and the current speed is 1.5 mph.
4 0
3 years ago
For altitudes up to 36,000 feet, the relationship between ground temperature and atmospheric
Verizon [17]

Answer:

The equation for a is a=-\frac{2000}{7}*(t-g)

The altitute is 101,428.57 feet

Step-by-step explanation:

You know that the relationship between ground temperature and atmospheric  temperature can be described by the formula

t = -0.0035a +g

where:

  • t is the atmospheric  temperature in degrees Fahrenheit
  • a is the altitude, in feet, at which the atmospheric temperature is  measured
  • g is the ground temperature in degrees Fahrenheit.

Solving the equation for a:

-0.0035a +g=t

-0.0035a= t - g

a=\frac{t-g}{-0.0035}

a=-\frac{2000}{7}*(t-g)

<u><em>The equation for a is </em></u>a=-\frac{2000}{7}*(t-g)<u><em></em></u>

If the atmospheric temperature is -305 °F and the ground temperature is 50 °F, then t= -305 °F and g= 50 °F

Replacing in the equation for a you get:

a=-\frac{2000}{7}*(-305-50)

a=-\frac{2000}{7}*(-355)

a= 101,428.57

<u><em>The altitute is 101,428.57 feet</em></u>

4 0
3 years ago
Could anyone help me find the value of x for this question?
kirza4 [7]
Can we get a picture
4 0
3 years ago
Determine the quotient: 2 4/7 ÷ 1 3/6
Scilla [17]

First we must change these numbers to improper fractions:

2\frac{4}{7}=\frac{18}{7}

1\frac{3}{6}=\frac{9}{6}

So then we set it up:

\frac{18}{7} ÷ \frac{9}{6}

When we divide fractions like this, we must flip the second fraction and change the sign from division to multiplication like so:

\frac{18}{7}*\frac{6}{9}

Then we solve:

\frac{108}{63}

Then if we divide the numerator and the denominator by 9, we get:

\frac{12}{7} or, in mixed-number form, 1\frac{5}{7}.

4 0
3 years ago
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