Someone please help. How can I solve this question?

Answer:  Child is $1 and Adult is $3, per person.

Step-by-step explanation:

We have two unknowns, so we need at least two equations.  Let C and A stand for the price of a ticket for a child and an adult, respectively.

The income for Monday and Tuesday can be calculated:

Monday:   16C + 42A = $142

Tuesday:  24C + 26A = $102

Rearrange the second equation to isolate one of the variables.  I'll pick C:

24C + 26A = $102

C  = ($102 - 26A)/24

Now use this expression for C in the first equation

16C + 42A = $142

16(($102 - 26A)/24) + 42A = $142

16(($102 - 26A)/24) + 42A = $142

(1632 - 416A)/24 + 42A = $142

(68 - 17.3333A + 42A = $142

24.6667A = 74

A = 3  [The price of an adult pool admission is $3]

Use this value in either equation to find the price of a child's admission:

24C + 26A = $102

24C + 26*($3) = $102

24C = 102 - 78

C = $1   [The price of a child's admission to the pool is $1]

Check to see if these prices satisfy both equations:

Monday:   16C + 42A = $142

Tuesday:  24C + 26A = $102

---

Monday:   16*(1) + 42*(3)  = $142   ?   YES

Tuesday:  24*(1) + 26*(3) = $102   ?    YES

Child is $1 and Adult is $3, per person.

Answer:

Rhombus

Step-by-step explanation:

The angles add up to 144 degrees, so they can't be a rectangle or a square. Also, diagonals of rhombuses bisect the angles.

Answer:

0.05 or 5%

Step-by-step explanation:

The formula for simple interest is as follows:

A = P(1+rt), with A representing the final amount, P representing the initial amount, r being the rate, and t being time. Plugging our values in, we have

5610 = 4400(1+5.5r). We know that 5 years and 6 months is 5.5 because 6 months = 0.5 years

5610 = 4400(1+5.5r)

expand

5610 = 4400 + 24200r

subtract 4400 from both sides to isolate the variable and its coefficient

1210 = 24200r

divide both sides by 24200 to isolate the variable

r = 0.05 or 5% as 0.05 * 100 = 5

Answer:

12

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1.09 is in between the whole numbers 1 and 2. it is closer to 1 since the tenths digit (0) is less than 5. if it were 5 or greater, then we would round up to 2.

Answer:

1

Step-by-step explanation:

1.09 is closer to 1 than 2, therefore the whole number is 1.

If you were counting people or objects, well you can't have 9/100 as a person so you'd round to 2. But in this case, round to 1!

I hope this helped :)

Answer:

21litres

Step-by-step explanation:

2/5 of 35litres of water was left in the tank

2/5 × 35 = 14litres

14litres remained

Amount of water poured out= 35-14

= 21litres

Answer:

A

Step-by-step explanation:

Answer:

4 hours · Speed = 50 mph · distance = time x speed · Time = 200 / 50 = 4 hours.

Step-by-step explanation:

Answer:

[tex]27436\pi[/tex] square inches

Step-by-step explanation:

Since we are covering the surface of the ball, we need to determine the ball's surface area.

Assuming the ball to be a sphere, its surface area would be [tex]A=4\pi r^2[/tex] where [tex]r[/tex] is the radius.

Since the diameter is twice the radius, then the radius of the ball is 19 inches.

Therefore, the surface area of the ball is [tex]A=4\pi (19)^3=4\pi(6859)=27436\pi[/tex] square inches.

Answer:

You don't subtract 2x from each side, you add 2x to each side

Answer:

16, and 16.3

Step-by-step explanation:

Answer:

1. 16     2.16.3

Step-by-step explanation:

2.16.281 is 16.28 which is near 16.3 so you round. Also anything above 5 you round and anything below 5 you round down.

Answer:

B

Step-by-step explanation:

As x gets bigger or smaller, y approaches negative infinity

Answer:

The answer would be B!

Step-by-step explanation:

Answer: -99

Step-by-step explanation:

This is a tricky question because we are dealing with negative numbers. In this case, the numbers that are closer to 0 are the greater numbers. So, the greatest multiple of 99 that is less than 0 would be -99.

Answer:

x = 22

Step-by-step explanation:

Answer:

  yes; the distributive property applies to dot products

Step-by-step explanation:

The product of (a-b) with itself is ...

  (a -b)·(a -b) = a² -2ab +b²

because the commutative and distributive properties apply to multiplication.

  (a -b)·(a -b) = a(a -b) -b(a -b) = a² -ab -ba +b² = a² -ab -ab +b² = a² -2ab +b²

__

The same expansion works for the dot product operation, because the commutative and distributive properties hold for that operation, as well.

  (u −v)•(u −v) = u•(u -v) -v•(u -v) = u•u -u•v -v•u +v•v

  = u•u -u•v -u•v +v•v = u•u -(u+u)•v +v•v = u•u -2u•v +v•v

_____

Additional comment

The proof of any of the properties of the dot product relies on expressing the vectors in component form. The distributive property is no exception.

Answer:

X=[tex]\frac{36}{85}[/tex]

Step-by-step explanation:

-[tex]-\frac{7}{8}=-\frac{1}{6}-\frac{3}{10x}[/tex]

move the contants to the right hand side

[tex]-\frac{3}{10x}=-\frac{1}{6}+\frac{7}{8}[/tex]

Add the to terms on the right

[tex]-\frac{3}{10x}=\frac{17}{24}[/tex]

Cross multiply

72=170x

Swap sides of the equation

170x=72

Divide by 170 to both sides

x=[tex]\frac{36}{85}[/tex]

This is the simplest form.

The solution of the linear equation −7/8 = −1/6 − (3/10)x in the form of a mixed fraction number will be 2 ¹³/₃₆.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The linear equation is given below.

−7/8 = −1/6 − (3/10)x

Simplify the equation, then we have

−7/8 = −1/6 − (3/10)x

(3/10)x = −1/6 + 7/8

(3/10)x = 17/24

x = 85/36

x = 2 ¹³/₃₆

The arrangement of the direct condition −7/8 = −1/6 − (3/10)x as a blended part number will be 2 ¹³/₃₆.

More about the solution of the equation link is given below.

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Answer:

a.  550 gallons/hr.

b.  1925 gallons

c.  1.268 hours

d.  3.5 hours

Step-by-step explanation:

W = -275(2t-7), where t is hours since pumping starts.  Let's rewrite this in standard line format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).    In this case we'll use W and t instead of x and y.

W = -275(2t-7)

W = -550t + 1925

The 1925 figure represents the water volume when t = 0, the initial volume.  The slope of -550 is the rate at which water is being pumped out.  550 gallons/hr.

We can solve the equation for the hours required to make w=0:

W = -550t + 1925

0 =  -550t + 1925

550t = 1925

t = 3.5 hours

-

We can solve for when W = 1,000:

W = -550t + 1925

1000 = -550t + 1925

-925 = -550t

t = 1.682 hours

a.  550 gallons/hr.

b.  1925 gallons

c.  1.268 hours

d.  3.5 hours

We can also graph the function. attached.

Answer:

12 numbers

Step-by-step explanation:

1,2,3,4,5,6,7,8,9,10,11,12

Answer:

see explanation

Step-by-step explanation:

An open circle indicates that x cannot equal that value

A closed circle indicates that x can equal that value.

(i)

An open circle at x = - 1 and arrow pointing right

x > - 1

(ii)

An open circle at x = - 1.5 and arrow pointing right

x > - 1.5

(iii)

A closed circle at x = 4 and arrow pointing left

x ≤ 4

(iv)

A closed circle at 0.5 and arrow pointing left

x ≤ 0.5

Answer:

x = 9

Step-by-step explanation:

The alternate interior angles theorem tells us that these two quantities must be the same.

Therefore,

x + 18 = 4x - 9

x + 18 + 9 = 4x

x + 27 = 4x

27 = 4x - x

27 = 3x

x = 9

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Answer:

i think its C

Step-by-step explanation:

Step-by-step explanation:

sorry I don't now but when I now I will tell you ok but mybe it 12×12×12

Step-by-step explanation:

3x + 10 < 3

3x + 7 < 0

3x < -7

x < -7/3 = -2.3333...

or

2x - 5 >= 5

2x >= 10

x >= 5

x < -7/3 or x >= 5

Answer:

(2x+3)square+2

Step-by-step explanation:

(2x) square +2 (2x)(3)+(3)square

2x square +12x+9

I think so.

pls give me brainliest

Answer:

Is that the full question? I can't solve this unless I have the full question. I don't know how many different meals she sold.

Answer:

21 day

Step-by-step explanation:

EASY MArk as brainliest

Answer:

January 1 is new years day! can I get branliest:>

[tex]A+B+C\\\\=(2x-y+3xy)+(x+2xy) +(3y+xy)\\\\=3x+2y+6xy[/tex]

The value of the expression A + B + C is equal to 3x - 2y + 4xy.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Are three expressions A = 2x - y + 3xy, B = x + 2xy and C = 3y + xy.

Now, A + B + C is equal to the sum of their values which is,

= (2x - y + 3xy) + (x + 2xy) + (3y + xy).

Now, we'll combine the like terms,

= 2x + x - y + 3y + 3xy + xy.

= 3x - 2y + 4xy.

So, The value of the expression A + B + C is equal to 3x - 2y + 4xy.

learn more about numerical expressions here :

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Answer:

longitudinal

Step-by-step explanation: