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Kobotan [32]
3 years ago
6

There are 90 girls and 60 boys in the sixth grade at a middle school. Of these students, 19 girls and 11 boys write left-handed.

What percentage of the sixth graders at this middle school write left-handed?
Mathematics
1 answer:
Sever21 [200]3 years ago
8 0

Answer:

The percentage of left-handed 6th graders is 20%.

Step-by-step explanation:

To find this, start by finding the total number of lefties.

19 girls + 11 boys = 30 students.

Next find the total number of students

90 girls + 60 boys = 150 students

Now divide the lefties by the total number.

30/150 = 20%

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A man starts at a point A and walks 18 feet north. He then turns and walks due east at 18 feet per second. If a searchlight plac
34kurt

Answer:

1/10 per sec

Step-by-step explanation:

When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent

tanΘ = x/18

Taking the derivative with respect to time

sec²Θ dΘ/dt = 1/18 dx/dt.

He's walking at a rate of 18 ft/sec, so dx/dt = 18.

After 3seconds,

Speed = distance/time

18ft/sec =distance/3secs

x = 18 ft/sec (3 sec)

= 54ft. At this moment

tanΘ = 54/18

= 3

sec²Θ = 1 + tan²Θ

1 + 3² = 1+9

= 10

So at this moment

10 dΘ/dt = (1/18ft) 18 ft/sec = 1

10dΘ/dt = 1

dΘ/dt = 1/10 per sec

8 0
3 years ago
Find the pre-image given the image and scale factor.     Scale factor: n = 2 Identify the coordinates of the image.    A'(–2, –4
iragen [17]

Answer: the answer is -1, -2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
$6.55 per hour, 40 hours worked, what is the straight pay?
arlik [135]

Answer:

$262

Step-by-step explanation:

4 0
3 years ago
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What is bigger 5/6 or 13/18?
san4es73 [151]
To compare fractions, you need a common denominator.
6 goes into 18 three times.  If we multiply (5/6) by 3 on top and bottom you get
\frac{15}{18}
Now we can compare numerators, since 15 > 13
\frac{5}{6} \ \textgreater \  \frac{13}{18}
4 0
3 years ago
Y=x^2-6x+3 help write the vertex form of the equation
Artist 52 [7]

Answer:

y=(x-3)^2-6

Step-by-step explanation:

y=x^2-6x+3

This is written in the standard form of a quadratic function:

y=ax^2+bx+c

where:

  • ax² → quadratic term
  • bx → linear term
  • c → constant

You need to convert this to vertex form:

y=a(x-h)^2+k

where:

  • (h,k) → vertex

To find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:

x=-\frac{b}{2a}

Using your original equation, identify the a, b, and c terms:

a=1\\\\b=-6\\\\c=3

Insert the known values into the equation:

x=-\frac{(-6)}{2(1)}

Simplify. Two negatives make a positive:

x=\frac{6}{2} =3

X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:

y=3^2-6(3)+3

Simplify using PEMDAS:

y=9-18+3\\\\y=-9+3\\\\y=-6

The value of y is -6 (3,-6). Insert these values into the vertex form:

(3_{h},-6_{k})\\\\y=a(x-3)^2+(-6)

Insert the value of a and simplify:

y=(x-3)^2-6

:Done

6 0
3 years ago
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