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MakcuM [25]
3 years ago
15

Hector is dividing students into groups for an HR wants to divide the boys and girls so that each group has the same number of t

he boys and girls their 21 boys and 56 girls signed up for the hike to how many groups can the students be divided how many boys and how many girls will be in each group.​
Mathematics
1 answer:
Roman55 [17]3 years ago
6 0

Answer:

7 groups, 3 boys and 8 girls

Step-by-step explanation:

Let total number of groups be x

and total hikers in one group be y

if number of girls and boys in every group is same, then

\frac{21}{x} + \frac{56}{x} = y

\frac{21 + 56}{x} = y\\x*y = 77 ....(1)

from (1) x will either be 11 or 7

for x = 11 the values won't be real.

For x = 7\\y = \frac{77}{7} \\y = 11

so there will be 7 groups with 11 hikers in each groups and every group will have \frac{21}{7} = 3 boys and \frac{56}{7} = 8 girls

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The sum of eight times a number and fifteen is seven
asambeis [7]
8x+15=7

In the statement the phrase the sum of can tell you that it is going to be an addition problem. So 8x ( eight times a number) would be added to the 15, 8x+15. Since its an addition problem the part where it says ' ... is seven', you know that it will all equal 7. So the answer would be 8x+15=7.
3 0
2 years ago
Which is the graph of f(x) = (x + 3)(x - 2​
yanalaym [24]

Answer:

Step-by-step explanation:

f(x) = (x + 3)(x - 2​) has two zeros:  One stems from (x + 3) = 0 and is (-3, 0); the other stems from (x - 2) = 0 and is (2, 0).  

The axis of symmetry is a vertical line located halfway between -3 and 2:  

x =  -1/2.

The graph opens up because the given (x + 3)(x - 2) has a positive leading coefficient (+1).

With this information we can eliminate the last two possible answers.  Note that the x-intercepts of the first graph are -3 and 2,  Thus, the first graph is the correct one.

5 0
2 years ago
In a manufacturing operation, a part is produced by machining, polishing, and painting. If there are three machine tools, four p
alexandr402 [8]

Answer:

<h2>36</h2>

Step-by-step explanation:

As per the given question,

In a manufacturing operation, a part is produced by machining, polishing, and painting.

Number of machine tools = 3

Number of polishing tools = 4

Number of painting tools = 3

Now,

For finding the different routing consisting of machining, followed by polishing, and followed by painting, we have to simply multiply the number of machine tools, polishing tools and painting tools.

Therefore,

The different routing (consisting of machining, followed by polishing, and followed by painting) for a part are possible = 3 × 4 × 3 = 36.

Hence, the required answer is 36.

4 0
2 years ago
PLEASE PLEASE PLEASE PLEASE PLEASE HELP <br><br><br> If sin B= 0.5678, what is the measure of
Jlenok [28]

Answer:

sin B= 0.5678,

B=sin-¹(0.5678,)

B=34.59°

3 0
3 years ago
Can someone help me please
Ulleksa [173]

In geometry, there is a theorem that states: The measure of an angle formed by two secants, two tangents, or a secant and a tangent drawn from a point outside a circle is equal to half the difference of the measures of the intercepted arcs


Therefore, this problem has two secants, so m∠x= 1/2(141-25)

m∠x=1/2(116)

m∠x=58


Hope this helped :)

6 0
3 years ago
Read 2 more answers
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