At a certain theater 4 adult tickets and 2 children's tickets cost
$36.50. Three adult tickets and 5 children's tickets cost $38.75. Which
system of equations could be used to determine the cost of one adult
ticket, a, and one child's ticket, c?
A. 4a +2c= 36.50
3a + 5c = 38.75
B. 7a+ 7 = 14
a+b= 75.2
C. 7a = 36.50
5a + 7c = 38.75
D. 4a + 2c = 38.75
За + 5c = 36.50

Step-by-step explanation:

arithmetic sequence means that every new term is created by adding a certain constant to the previous term.

we clearly see, that constant here is -9.

we start with 26.

a1 = 26

a2 = a1 - 9 = 26 - 9 = 17

a3 = a2 - 9 = a1 - 2×9 = 26 - 18 = 8

so, we see

an = an-1 - 9 = a1 - (n-1)×9 = 26 - (n-1)×9

a59 = 26 - 58×9 = -496

Set x<5 = sagutan mo apapapdifuv

[tex](64)^{\tfrac 12} \times 10^{-2}=(8^2)^{\tfrac 12} \times \dfrac 1{10^2}=\dfrac{8}{100} = \dfrac{2}{25}[/tex]

Answer:

256

Step-by-step explanation:

any number to the 0 power equals 1, so r^0 equals 1

then, you have (4(1))^4

4×1=4

4^4=256

Answer:

3328

Step-by-step explanation:

13(4r^0)^4=13*44= 13*(4

*

4

*

4

*

4

)

=

3328

Answer:

Step-by-step explanation:

The number of decimal places in the product is the sum of the numbers of decimal places in the factors.

1. the factors have 1 and 2 decimal places, so the product will have 1+2 = 3 decimal places.

2. 1 + 1 = 2 decimal places in the product

3. 2 + 2 = 4 decimal places in the product

4. 1 + 1 = 2 decimal places in the product

_____

Additional comment

If the factor has m decimal places, the place value of its least-significant digit is 10^-m. Similarly, if the factor has n decimal places, the place value of its least-significant digit is 10^-n. When these numbers are multiplied, the place value of the least-significant digit of the product is (10^-m)(10^-n) = 10^-(m+n). That is, there will be m+n decimal places in the product.

Note that the product in problem 3 is 370.4140. That is, the least-significant digit of the product is zero. Many calculators will not show that zero, giving the (false) impression that the product has only 3 decimal places.

Answer:

4.725

2.473.6

3.370.414

5.312.08

Step-by-step explanation:

Think of a number, that when multiplied with itself, will get you 90.

We could try something like 7. So 7*7 = 49, but it's too small.

How about 10? Well we get 10*10 = 100 which is too big. The answer is between 7 and 10.

Let's try 8. So we get 8*8 = 64 which is too small.

This process is repeated until you determine that the answer is somewhere between 9 and 10

9*9 = 81

10*10 = 100

----------------

From here, we can try 9.5 since it's right between 9 and 10

9.5*9.5 = 90.25

close but not quite there. It's a bit too large. So the actual value is somewhat smaller than 9.5

Let's try 9.4

9.4*9.4 = 88.36

That seems even worse off compared to 90.25, so 9.5 is the better answer.

-----------------

As a shortcut, you can use the square root on your calculator

[tex]\sqrt{90} \approx 9.4868 \approx 9.5[/tex]

Answer:

28

Step-by-step explanation:

Answer:

Step-by-step explanation:

the sum of the internal angles of a triangle is 180 °, from the equal sides it is understood that it is isosceles, therefore it has 2 sides and two equal angles (angle A and angle B) so both A and B are 34 °, x - 5 = 34 °

we find the value of 4y

180 - 34 - 34 = 112

now we find the value of y

4y = 112°

y = 112 : 4

y = 28

Answer:

3 square feet

Step-by-step explanation:

Got it right because of the answer above :)

Marco will need 3 square feet of material to make the kite.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can use the formula for the area of a kite, which is:

A = (1/2) x d1 x d2

where d1 and d2 are the lengths of the two diagonals.

In this case,

d1 = 2 feet, and d2 = 3 feet.

Substituting these values into the formula, we get:

A = (1/2) x 2 feet x 3 feet

   = 3 square feet

Therefore,

Marco will need 3 square feet of material to make the kite.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7

Answer:

That person would weigh 14.22 lbs.

Answer:

-5

Step-by-step explanation:

Plug the first equation into the expression

2y-1 = 2(-2) - 1 = -4 - 1 = -5

Answer:

-5

Step-by-step explanation:

2y - 1

2(-2) - 1

-4 - 5

-5

Answer:

m=14

Correct me if I'm wrong ^•^

Answer:

m = -49

Explanation:

Combine like terms

13m - 34m + 42m - 22m + 8 = -41

-m + 8 = -41

Subtract 8 from both sides of the equation

-m + 8 = -41

-m + 8-8 = -41 -8

Simplify

Subtract the numbers

-m = -49

Answer:

y2 - y1 / x2 - x1

-8 - 2 / 3 - (-5)

-10 / 8

-5 / 4

Given that

[tex]f(x) = -3\\\\\implies x^2 -5x +3 = -3 \\\\\implies x^2 -5x +6=0\\\\\implies x^2 - 3x -2x +6 =0\\\\\implies x(x-3) -2(x-3) =0\\\\\implies (x-2)(x-3)=0\\\\\implies x =2~ \text{or} ~ x =3[/tex]

Answer:

(2, - 3 ) and (3, - 3 )

Step-by-step explanation:

f(x) = x² - 5x + 3 and f(x) = - 3 , then equating

x² - 5x + 3 = - 3 ( add 3 to both sides )

x² - 5x + 6 = 0 ← in standard form

(x - 2)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 3 = 0 ⇒ x = 3

solutions are (2, - 3 ) and (3, - 3 )

Answer:

x/-4=-13+4

x/-4=9

x=(9)(-4)

x=-36

Answer:

An abacus is a calculation tool used by sliding counters along rods or grooves, used to perform mathematical functions. In addition to calculating the basic functions of addition, subtraction, multiplication and division, the abacus can calculate roots up to the cubic degree.

Answer:

use the formula( I=PTR/100)

Answer:

Step-by-step explanation:

Starting point is 117 and common difference is - 28.

The first 4 terms are:

Correct sequence is B

Answer:

3, 10

Step-by-step explanation:

1.

5x-1=14 ->

5x=15 ->

x=3.

2.

15+3x=45 ->

3x=45-15=30 ->

3x=30 ->

x=10.

Hope that help! :)

Answer:

1.) x=3

2.)x=10

Step-by-step explanation:

for the first problem you would add 1 to both sides, and you would get 5x=15, then you would divide both sides by by 5 to get x by itself. 5x/5=x and 15/5=3, so x=3. you can also plug it in. 5(3)-1=14

for the second one you wpuld subtract 15 from both sides, and you would get 3x=30. divide both sides by 3 which is x=10. plug it in, 15+3(10)=45.

Answer:

C) (12x-5)(2x-1)

Step-by-step explanation:

12x multiplies 2x to give 24x²

then 12x multiply -1 to give -12x

then -5 multiply 2x to give -10x

then -5 multiply -1 to give 5

that will be 24x²-12x-10x+5

our and =24x²-22x+5

Answer:

57.142%

Step-by-step explanation:

28-12=16

16/28*100=57.142%

The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.

To find the zeros of the function g(x) = (x² - 36)(x + 7), we need to identify the values of x that make the entire function equal to zero.

For a function to be equal to zero, at least one of its factors must be zero. Therefore, we set each factor to zero and solve for x:

Setting the first factor, x² - 36, to zero:

x² - 36 = 0

Now, add 36 to both sides of the equation:

x² = 36

Next, take the square root of both sides:

x = ±√36

x = ±6

Setting the second factor, x + 7, to zero:

x + 7 = 0

Now, subtract 7 from both sides of the equation:

x = -7

The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.

Learn more about zeros of the function from the link given below.

https://brainly.com/question/31654189

#SPJ2

Answer:

Step-by-step explanation:

500 / 5 = 100 (that's 1 fifth, so 2 fifths will be 200)

200 / 12.5 = 16 (he will have to work 16 hours to get $200)

the inequality would be:

x * 12.5 >= 500 * 0.4 (something like that)

Answers:

B:

1. 2

2. 3

3. 1

4. 4

5. 2

C (Leading term):

1. 3x

2. x^4

3. 7

4. x^2

5. 2x^2

C (Degress of the Polynomial):

1. 1

2. 4

3. 0

4. 2

5. 2

Answer:

15*20=300

Step-by-step explanation:

The two lengths is equal to there hundred

Answer:

Q9: C.

Since each smaller line counts as 1/5, you can simply start from the point 1 and count 3 times to reach D.

[tex]3*\frac{1}{5} =\frac{3}{5}[/tex]

Since you started at 1, you can add [tex]1+\frac{3}{5} =1\frac{3}{5}[/tex]

Q10: B

We can subtract/ignore 3 from all of them to make things simpler.

Now, we need to find the lowest value to greatest from:

[tex]\frac{5}{8}, \frac{7}{16} ,\frac{1}{2}[/tex]

In order to compare these, we make the denominators the same (in this case: 16)

[tex]\frac{5}{8} =\frac{5*2}{8*2} =\frac{10}{16}[/tex]

[tex]\frac{7}{16} =\frac{7}{16}[/tex]

[tex]\frac{1}{2} =\frac{1*8}{2*8} =\frac{8}{16}[/tex]

Since 7 is the smallest value, followed by 8 and lastly 10,

the smallest to greatest in order would be

[tex]\frac{7}{16} ,\frac{1}{2} ,\frac{5}{8}[/tex] (B)

11: C

If you look at both [tex]\frac{2}{4}[/tex] and [tex]\frac{5}{8}[/tex], they are not directly above one another. Hence, they are not equal.

Answer:

I=Prt

(I= interest

P=principle amount

r=rate per year in decimal form

t=time period)

●I = Prt

I = 8000×(2/100)×6

I = 8000×0.02×6

I =$960

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