LA=
Round your answer to the nearest hundredth.

Answer:

b) Show that c= 52 and a =18 is a solution to

tickets sold and a represents the number of

this equation (not system).

Linear equation that models the given equation is 4c + 10a = 388 where c is the number of children ticket sold and a is the number of adult ticket sold. c = 52 and a = 18 is a solution to the linear equation. Multiplying a constant on both sides of the equation won't affect its solutions.

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.

Let number of children ticket sold be c.

Let number of adult ticket sold be a.

Cost of one children ticket = $4.

Cost of one adult ticket = $10.

Total sales = $388

Linear equation that models the above equation: 4c + 10a = 388

Checking if a = 18 and c = 52 is a solution of the equation. It can be done by substituting the values.

LHS: 4c + 10a = 4*52 + 10*18 = 388

RHS: 388

Hence, c = 52 and a = 18 is a solution to the linear equation.

Multiplying 2 to both sides of the equation:

2(4c + 10a) = 2(388)

8c + 20a = 776

Substituting c = 52 and a = 18.

8(52) + 20(18) = 776

c = 52 and a = 18 is still a solution to the linear equation.

Learn more about linear equation here

https://brainly.com/question/11897796

#SPJ2

Answer:

Step-by-step explanation:

When your desired form is expanded, it becomes ...

  a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2

This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.

a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2

b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2

c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2

d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2

_____

Additional comment

If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.

Answer:

Triangle UTS is congruent to Triangle RST.

Step-by-step explanation:

When stating congruence, the corresponding angles and sides must be listed in order. In triangle uts, based on the points, the angle is U, and the side is US. This means that for the other triangle, the first point needs to be the angle, and the last one needs to be the other point for the side. This gives us Triangle UTS is congruent to triangle RST. Hope this helps!

Answer:

Step-by-step explanation:

y = x^2 - 2x + 2

y = (x - 1)^2 - 1 + 2

y = (x - 1)^2 + 1

Vertex is at (1, 1) and minimum value is  1.

Answer:

  9.  a = -1

  10.  b = 20

Step-by-step explanation:

The term "cross multiplying" is used to describe the appearance of the result of multiplying both sides of the equation by the product of the denominators. The result is the left numerator is multiplied by the right denominator, and the right numerator is multiplied by the left denominator. The property of equality that supports this is the multiplication property of equality, which tells you the values of the variables are unchanged if you multiply both sides by the same thing. That multiplier is chosen so that it cancels the denominators.

__

  [tex]\dfrac{2a-5}{3a-4}=\dfrac{2a-3}{3a-2}\\\\(3a-2)(2a-5)=(3a-4)(2a-3)\qquad\text{"cross multiply"}\\\\6a^2 -19a +10=6a^2-17a+12\qquad\text{expand}\\\\-2=2a\qquad\text{add $19a-6a^2-12$}\\\\\boxed{a=-1}\qquad\text{divide by 2}[/tex]

__

  [tex]\dfrac{b-2}{b-6}=\dfrac{b+2}{b-4}\\\\(b-4)(b-2)=(b-6)(b+2)\qquad\text{"cross multiply"}\\\\b^2-6b+8=b^2-4b-12\qquad\text{expand}\\\\20=2b\qquad\text{add $6b+12-b^2$}\\\\\boxed{b=20}\qquad\text{divide by 2}[/tex]

_____

Additional comments

Here are the answer checks:

  9. (2(-1) -5)/(3(-1)-4) = (2(-1)-3)/(3(-1)-2) ⇒ -7/-7 = -5/-5 . . . yes

  10. (10 -2)/(10 -6) = (10 +2)/(10 -4) ⇒ 8/4 = 12/6 . . . yes

__

Sometimes this method of solving the problem will result in extraneous solutions. Those will generally be values of the variable that make one or more of the denominators be zero. You must be careful to exclude those values from any possible solution set.

Answer:

END OF EACH YEAR

-1 442.395

-2 449.91

-3 457.56

-4 465.34

-5 473.25

-6 481.29

-7 489.481

-8 497.80

-9 506.26

-10 514.87

however, how much INTEREST

514.87-435=

79.8

Answer:

w = 5

Step-by-step explanation:

6w/6 = 30/6

= 5

Answer: Given as,X=2 & Y=3,

now multiplying we get,

2xxy=2×2×3=12

Ans.) 12

Step-by-step explanation:

Answer:

There are 3 terms

Step-by-step explanation:

Answer:

Step-by-step explanation:it is the degree of 4

The function f(x) = 5x² + 40x is a parabola. Then the vertex of the parabola will be at (–4, –80).

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

The function f(x) = 5x² + 40x

Then add and subtract 80, then we have

f(x) = 5x² + 40x + 80 – 80

f(x) = 5(x² + 8x + 16) – 80

f(x) = 5(x + 4)² – 80

The vertex of the parabola will be at (–4, –80).

More about the parabola link is given below.

https://brainly.com/question/8495504

Answer:

9.9

Is the answer to the question

Answer:

1390

Step-by-step explanation:

(35*44)-((44-(17*2))*(35-(10*2)))

= 1390

Answer:

a

Step-by-step explanation:

Volume = πr2h

= π×3.52×5

= 61.25π

= 192.42255003237 centimeters3

and

Volume = 7×5×12 = 420 feet3

so,

192.4+420= 612.4 cm^3

Answer:

Step-by-step explanation:

Answer:

3p + 2s = 27.5

3p + 2s = 27.54p + 3s = 37.5

Multiplies first equation by 4 and second equation by -3

12p + 8s = 110

12p + 8s = 110-12p + -9s = -112.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.53p +5 = 27.53p = 22.5p = 7.5

pumpkins weigh 7.5 pounds and squash weighs 2.5 pounds

hope it helps

pls mark as brainliest answer

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Answer:

the blank is 10 lbs

Step by step:

3p + 2s = 27.5

3p + 2s = 27.54p + 3s = 37.5

Multiplies first equation by 4 and second equation by -3

12p + 8s = 110

12p + 8s = 110-12p + -9s = -112.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.53p +5 = 27.53p = 22.5p = 7.5

Answer 2:

pumpkins weigh 7.5 pounds and squash weighs 2.5 pounds

Answer:

32

Step-by-step explanation:

Answer:

95⁰

Step-by-step explanation:

95⁰ is the measure of <k

Because in a cyclic quadrilateral sum of opposite angles is equal to 180⁰

I hope it helped you

[tex](D)\ d(r)=7\times (0,75)^2[/tex]

[tex]r=0.75\ \ \ \ \ d_1=7\times 0.75\ \ \ \ \ d_2=0.75d_1=7\times 0.75^2[/tex]

[tex]so\ at\ 1\le r\le 7[/tex]

[tex]d(y)=7x(0,75)^2[/tex]

I hope this helps you

:)

I believe it's right two down one

We will see that the lateral surface area of the cone is 14 square inches.

We know that for a cone of height H and radius R, the lateral surface of the cone is:

S = 3.14*R*H

In this case, we know that eh height is 3 + 5/8 inches, and the diameter is 2 + 1/2 inches. Remember that the diameter is twice the radius, then:

R = (2 + 1/2) in = (1 + 1/4) in

Replacing that on the surface equation, we will get:

S = 3.14*( (1 + 1/4) in)*(3 + 5/8)in = 14 in^2

If you want to learn more about areas, you can read:

https://brainly.com/question/24487155

Answer:

it's 15

Step-by-step explanation:

guy above was close

Step-by-step explanation:

the volume of a cone is

base area × height / 3

and the case area is a circle, so we get

pi×r²×h/3

with e being the radius (half of the diameter), and h being the height.

therefore

pi×(11.9/2)²×3.5/3 = pi×(5.95)²×3.5/3 = 41.30291667... ft³

Answer:

slope of a line parallel to this line= -3/8

slope of a line perpendicular to this line= 8/3

Step-by-step explanation:

The general equation of a line in terms of a and b is:

y=ax+b  where a=slope

in order to get the slope of the line we have to write its equation as the form shown above:

3x+8y=1

8y= -3x+1

y= (-3/8)x+(1/8)

so slope= -3/8

Parallel lines have equal slopes

⇒ slope of parallel line= -3/8

The slope of the line perpendicular to another line is the opposite reciprocal of the original line's slope. This means that we have to exchange the numerater by the denomenator and multiply the obtained number by a negative sign:

⇒ slope of perpendicular line= -(-8/3) = 8/3

Answer:

c,e, d

Step-by-step explanation:

c,e,d is the correct to me

Answer:

5

Step-by-step explanation:

used a cal

Answer:

5

Step-by-step explanation:

-30 / -6 = 5

-6 * x = -30

(drop the negatives)

30 / 6 = 5

-6 * 5 = -30

Hey there!

23/12
= 23/1 ÷ 12/1

= 23/1 × 1/12

= 23(1) × 1(12)

= 23/12

≈ 1 11/12

Those steps above are somewhat easier to solving your given equation!

Anyways, your answer is: 1 11/12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

the answer is 1 11/12

Step-by-step explanation:

we know that 23 can fit once into 12,
so we can subtract 23 by 12 to get 11
now, we have 1 11/12

1 11/12

Answer:

  $42,782.40

Step-by-step explanation:

You want to know how much more Glados paid than Shaq on a 30-year mortgage if their monthly payments were $755.99 and $637.15, respectively.

Each month, Glados paid this amount more:

  $755.99 -637.15 = $118.84

Over the 360-month life of the 30-year loan, this excess amount adds up to ...

  360 × $118.84 = $42,782.40

Glados pays $42,782.40 more than Shaq for the same loan amount.

<95141404393>

Answer:

2.75 feet

Step-by-step explanation:

I did the problem with the given instructions, but it really should be 2.74 feet. Instead of dividing the circumference by 6.28, you should divide the circumference by pi, then by two.

Hope this helps! :)

Answer:

x<2

Step-by-step explanation:

5<-5(3x-7)

divide by 5

1<-3x+7

3x<7-1

3x<6

x<2