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Rzqust [24]
3 years ago
10

1-116 1.2.6

Mathematics
1 answer:
ankoles [38]3 years ago
3 0

Answer:

A. 30 adults; B. 24 not dolls

Step-by-step explanation:

A.

\begin{array}{rcl}\text{No. of adults} & = & \text{No. of visitors} \times \text{Fraction who are adults}\\& = & \text{100 visitors} \times \dfrac{\text{3 adults}}{\text{10 visitors}} \\& = & \textbf{30 adults}\\\end{array}

B.

If five-eighths of the prizes were dolls, then three-eighths of the prizes were not dolls.

\begin{array}{rcl}\text{No. not dolls} & = & \text{No. of prizes} \times \text{Fraction not dolls}\\& = & \text{64 prizes} \times \dfrac{\text{3 not dolls}}{\text{8 prizes}} \\& = & \textbf{24 not dolls}\\\end{array}

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How do I solve this problem?
Anvisha [2.4K]

Answer:

y+11=-\frac{1}{4}(x-4)

Step-by-step explanation:

since the equation is perpendicular to y=4x-2, m=-1/4 (negative reciprocal). (x_1,y_1)=(4,-11), plug all the values into the equation y- y_1 = m(x-x_1) and we get y+11=-\frac{1}{4}(x-4)

8 0
3 years ago
Lexi asked 325 students which fruit they preferred, bananas or pineapples. 200 students said they preferred pineapples. What per
Serjik [45]

Answer:

38.46%

Step-by-step explanation:

Given,

The total number of students = 325

The number of students preferred pineapples = 200

Therefore, The number of students preferred bananas = (325 - 200) = 125

Among 325 students, banana is preferred 125 students

Among 1 student, banana is preferred 125/325 students

Among 100 students, banana is preferred (125*100)/325 students

= 500/13

= 38.46% (2 decimal places)

5 0
3 years ago
Simplify x+6/12 over x-8/10 ...?
Kipish [7]
(x + 6) / 12 / (x - 8) / 10 =
(x + 6) 10 / (x - 8) 12 =
(x + 6) 5 / (x - 8) 6

The correct answer is (x + 6) 5 / (x - 8) 6
First you multiply (x+6) by 10 and (x-8) by 12, and then you divide both 10 and 12 by 2. 
8 0
3 years ago
a town has a population of 13000 and grows at 5% every year. What will be the population after 11 years, to the nearest whole nu
KatRina [158]
A=p(1+r)^t
A=13000(1+0.05)^11
A==22,234.41
3 0
3 years ago
Which equation represents a parabola opening to the right with a vertex at the origin and focus at (9,0) A. X = - 1/36y^2 B. X =
Virty [35]

Answer:

Option C: x = (1/36)*y^2

Step-by-step explanation:

A horizontal parabola is written as

x = f(y) =  a*y^2 + b*y + c

If a is positive, the parabola opens to the right.

if a is negative, the parabola opens to the left.

And the vertex of the parabola has the y-value:

y = -b/2a

and the x value

x = f(-b/2a)

For our parabola, we know that:

Opens to the right:

Then the only options left are:

C) x = (1/36)*y^2

D) x = (1/6)*y^2

Because in both cases b = 0, both of the equations have the vertex in the point (0, 0).

Now let's see wich one has a focus at (9, 0)

If the vertex of our equation is:

(h, k)

Then the focus will be:

(h + a, k)

Where a is the directrix of the equation.

Here we know that the vertex is (0, 0) and the focus is (9, 0)

Then:

(0 + a, 0) = (9, 0)

The directrix is 9.

And the directrix is such that:

(x - h)^2 = 4*a*(y - k)

Replacing the values of h and k (both are zero) we get:

x^2 = 4*a*y

And we know that: a = 9

x^2 = 4*9*y

x^2 = 36*y

if we isolate y, we get:

(1/36)*x^2 = y

This is option C.

Then the correct option is C.  

8 0
2 years ago
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