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4 years ago

Solve the following equation for A. Be sure to take into account whether a letter is

1 answer:

4 0

Isolate the variable by dividing each side by factors that don't contain the variable.

a = 4 √69m^3/m

That 3 is on top of the m

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The cost of admission to a popular music concert was 162 dollars for 12 children and 3 adults.The admission was 122 dollars for

pogonyaev

Answer: the cost of admission for each child is $10

the cost of admission for each adult is $14

Step-by-step explanation:

Let x represent the cost of admission for each child.

Let y represent the cost of admission for each adult.

The cost of admission to a popular music concert was 162 dollars for 12 children and 3 adults. This is expressed as

12x + 3y = 162- - - - - - - - - - - - -1

The admission was 122 dollars for 8 children and 3 adults in another music concert. This is expressed as

8x + 3y = 122- - - - - - - - - - - - -2

Subtracting equation 2 from equation 1, it becomes

4x = 40

x = 40/4

x = 10

Substituting x = 10 into equation 1, it becomes

12 × 10 + 3y = 162

120 + 3y = 162

3y = 162 - 120

3y = 42

y = 42/3

y = 14

7 0

3 years ago

1/32(x-4){2} +1/16(x-7){2} -12.5

frez [133]

Answer:

The chosen topic is not meant for use with this type of problem. Try the examples below.

√ 36

3 $x^{4}$

csc $x^{2}$ 2 ( x ) − cot $x^{2}$ ( x )

Step-by-step explanation:

7 0

3 years ago

HELP PLEASE!!! 25 Points & Brainliest!

Citrus2011 [14]

Answer:

(1) $f(x)=3x+4$

Ad g(x) represent f(x) after horizontal translation 2 units to the left.

$g(x)=3(x+2)+4$

$g(x)=3x+6+4$

$g(x)=3x+10$ is the required translation.

(2) $f(x)=\frac{-2x}{3}+2$

$f(\frac{1}{2})=\frac{-2}{3}\cdot(\frac{1}{2})+2$

$f(\frac{1}{2})=\frac{5}{3}$

(3) We have been given a point (1,-9); slope 2

We will use the equation:

$y-y_1=m(x-x_1)$

m is the give slope.

$y-(-9)=2(x-1)$

$y+9=2(x-1)$

Therefore, Option (a) is correct.

6 0

3 years ago

Read 2 more answers

4. Given point A (3, 8) and point B (-5, 1). Find the following:

VladimirAG [237]

Answer:

a) M(-1, 4.5)

b) 10.63

c) 7/8

Step-by-step explanation:

x = (3 + (-5))/2 = -1

y = (8 + 1)/2 = 4.5

M(-1, 4.5)

b) d = sqrt[(x1-x2)^2 + (y1-y2)^2] = sqrt(113) = 10.63

c) m = (y2-y1)/(x2-x1) = 7/8

3 0

3 years ago

You are trying to decide between two job offers. You find the best option is to take the highway to work. That route is

Alja [10]

Answer:

The farthest distance would be 32.5 miles

Step-by-step explanation:

Given,

Speed = 65 miles per hour,

If t represents the time ( in hours ) taken in travelling,

Since, time has to commute down less than 30 minutes,

Also, 1 hour = 60 minutes,

$\implies 1\text{ minute}=\frac{1}{60}\text{ hour}$

$\implies 30\text{ minutes}=\frac{30}{60}=\frac{1}{2}\text{ hour}$

Thus,

$t\leq \frac{1}{2}$

i.e. the highest time taken = 1/2 hours,

We know that,

Distance = speed × time,

∵ Distance ∝ time,

⇒ Distance will farthest for largest time taken,

Hence, the farthest distance = $65\times \frac{1}{2}$ = 32.5 km.

4 0

3 years ago

Read 2 more answers