Solve for the unknown.​

Answer:

56 adults and 35 children

Step-by-step explanation:

sum the parts of the ratio 16 + 10 = 26

Divide 91 by 26 to find one part of the ratio

91/26 = 3.5 ← 1 part of the ratio

16 parts = 16 × 3.5 = 56 ← number of adults

10 parts = 10 × 3.5 = 35 ← number of children

Therefore it 56 adults and 35 children.

To Check the Answer:  56 + 35 = 91

Answer:

y

[tex] y2 - 2y - 3[/tex]

[tex](y - 1)(y + 3) [/tex]

[tex](3y - 1)(3y + 3)[/tex]

Step-by-step explanation:

you multiple the 3 with the 1

then factor

then divide by 3 again but the denominator goes in front of the y.

Answer:

Step-by-step explanation:

Dozen = 12

Use the ratio:

Find x:

Answer:

50.37

Step-by-step explanation:

Answer:

in finity

Step-by-step explanation:

Both provide ATP molecules, but only fermentation occurs when oxygen is present.

okokoo

The linear system have y = -6x+2 and -12x - 2y = -4 have infinite number of solutions.

Two or more expressions with an Equal sign is called as Equation.

The given system of linear equations are y = -6x+2 and -12x - 2y = -4

To solve this system, we can substitute the expression for y from the first equation into the second equation, as follows.

-12x - 2y = -4

substitute y = -6x + 2 from first equation

-12x - 2(-6x + 2) = -4

Distribute the negative sign

-12x + 12x - 4 = -4

0 = 0

The equation 0 = 0 is a true statement, which means that the system has infinitely many solutions.

Hence, the linear system have y = -6x+2 and -12x - 2y = -4 have infinite number of solutions.

To learn more on Equation:

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Answer:

-24

Step-by-step explanation:

[tex]x/4 + 8 = 2\\x/4 = 2 - 8\\x/4 = -6\\x = -6 *4\\x = -24[/tex]

Answer:

see explanation

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x )

The function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

When the given coordinate (x,y) are rotated rotated 90° counterclockwise about the origin, then the coordinates become (- y, x ).

R(x, y )= (- y, x )

Therefore, the function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).

Learn more about Coordinates:

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Answer:

D.

Step-by-step explanation:

AB is NOT equal to BA in matrix multiplication.

It is not commutative.

Answer:

a) 168

b) 3

Step-by-step explanation:

a) 56÷4=14 14×12=168

b) 56÷4=14 56-14=42 42÷14=3

Answer:

Below in bold.

Step-by-step explanation:

The 2 angles are equal so

8x - 8 = 5x + 25

3x = 33

x = 11.

m < B = 8(11) - 8 = 80 degrees.

Answer:

0.333...

Step-by-step explanation:

3 out of 9 can be written as 3/9 which reduces to 1/3.

1/3 = 0.333...

More than means addition.

C is the correct option.

= (2x + 4) + 9 - 4y + 3x

= 2x + 4 + 9 - 4y + 3x

= 5x + 13 - 4y

= 5x - 4y + 13

Answer:

5x-4y+13 (c)

Step-by-step explanation:

9-(4y-3x)+(2x+4)

9-4y+3x+2x+4

3x+2x-4y+9+4

5x-4y+13

Answer:

[tex]-342^{-7}[/tex]

Step-by-step explanation:

If we represent 343 as a power of (-7)

we get [tex]-342^{-7}[/tex]

the equation will be this

= -347 × -347 × -347 × -347 × -347 × -347 × -347

Step-by-step explanation:

ajhai ans Pani chaiyo ki sabai ko ans pathau

Firstly, a key fact to keep in mind is Angles in a triangle equals 180⁰.

a. x+60⁰+30⁰=180⁰

x+90⁰=180⁰

x=180⁰-90⁰

x=90⁰

b. x+3x+40⁰=180⁰

collect like terms

4x+40⁰=180⁰

4x=180⁰-40⁰

4x=140⁰

Divide both sides by 4

x=35⁰

c. x+(x+7)+(x+5)=180⁰

3x+12=180⁰

3x=180⁰-12

3x=168⁰

x=168⁰÷3

x=56⁰

d. 52+x+y=180⁰

keeping in mind, two sides of this triangle are equal...

180⁰-52⁰=128⁰

128⁰÷2=64⁰

x=64⁰

x=64⁰ y=64⁰

e. b+a+90⁰=180⁰

right angled triangle

180⁰-90⁰=90⁰

90⁰÷2=45⁰

b=45⁰

b=45⁰ a=45⁰

f. Angles on a straight line equals 180⁰

180⁰-130⁰=50⁰

x=50⁰

Back to the triangle, in which two are equal,

50⁰+x+y=180⁰

180⁰-50⁰=110⁰

110⁰÷2=55⁰

y=55⁰

y=55⁰ z=55⁰

To be honest, I don't know how to solve the last two questions, hope I was helpful, if you wish, please mark BRAINLIEST.

4 times 4 so your awnser is 12

Hope that helps :)

Answer:

16

Step-by-step explanation:

4+4+4+4

Answer:

Step-by-step explanation:

Nina's debt = 3 * 9 = $ 27

Debt is represented using negative sign.This represents (-27) on the number line.

Answer:(-27)

Step-by-step explanation:

i got it right on edge 2022

Answer:

needs a image not much information working with

Answer:

7) No

8) Yes

Step-by-step explanation:

7) 15 + 2y = -12 - 4y when y = -0.5

15 + (2*-0.5) = -12 - (4*-0.5)

15 + -1 = -12 - (-2)

15 - 1 = -12 + 2

14 = -10

The numbers are different on both sides so -0.5 is not a solution

8) 5 - 2( 3x + 5 ) = 3 - 10x when x = 2

5 - 2( (3*2) + 5 ) = 3 - (10*2)

5 - 2( 6 + 5 ) = 3 - 20

5 - 2*11 = 3 - 20

5 - 22 = 3 - 20

-17 = -17

The numbers are similar on both sides so 2 is a solution

Answer:

128 divided by 2 for 5 times is your answer enjoy my.kiddo

Answer: 118.2

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:$22.50

Step-by-step explanation:

The three friends already paid the entrance fee. The question asks how much MORE will they pay for 5 MORE rides (8-3 rides). Since tickets are $1.50 each, and we have 3 people:

($1.50/ticket)*(5 tickets/person)*(3 persons) = $22.50 more.

[Note how the units cancel, leaving just $]

Answer:

The answer is (C)

Step-by-step explanation:

Answer:

2^-2

Step-by-step explanation:

When multiplying indices or exponents with the same base number, you can add the powers:

2^4 x 2³ = 2^7 (4 + 3 = 7)

2^5 x 2^4 = 2^9 (5 + 4 = 9)

When dividing indices or exponents with the same base number, you can subtract the powers:

2^7 ÷ 2^9 = 2^-2 (7 - 9 = -2)

Answer:

X = 126

Step-by-step explanation:

180 - 54 = 126

54+x=180

Answer:

a: 36

b: 10

c: 3.2

d: a

Step-by-step explanation:

Answer:

A = 36

B = 10

C = 3.2

D = a

Step-by-step explanation:

The square roots and power of 2s zero each other out.

Answer:

7

Step-by-step explanation:

7x-6=43

    +6  +6

7x=49

/7   /7

x=7

Answer: x=7

is the answer

Answer:

Its A

Step-by-step explanation:

took the test a while ago

Answer:

1/4 Percent

Step-by-step explanation:

add all them up and youll get 8 the see the yellow takes up 1/4 percent of the numbers.

Answer:

60%

Step-by-step explanation:

3/5 = 6/10 = 60%

Answer:

A. 60%

Step-by-step explanation:

3/5 =30/50=60/100

Using quadratic function concepts, it is found that:

1) The equation is [tex]y = -0.08x^2 + 4x[/tex]

2) The minimum distance is of 2.64 yards, and the maximum is of 47.36 yards.

A quadratic equation has the following format:

[tex]y = ax^2 + bx + c[/tex]

In this problem:

Item 1:

The vertex is: [tex]V(x_v,y_v)[/tex], in which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]

In this problem, it is (25,50). Thus:

[tex]-\frac{b}{2a} = 25[/tex]

[tex]-b = 50a[/tex]

[tex]b = -50a[/tex]

[tex]-\frac{b^2 - 4ac}{4a} = 50[/tex]

[tex]-b^2 = 200a[/tex]

[tex]-(50a)^2 = 200a[/tex]

[tex]-2500a^2 - 200a = 0[/tex]

[tex]200a(-12.5a - 1) = 0[/tex]

Then, as [tex]a \neq 0[/tex]

[tex]a = -\frac{1}{12.5} = -0.08[/tex]

[tex]b = -50a = -50(-0.08) = 4[/tex]

Thus, the equation, in standard form, is:

[tex]y = -0.08x^2 + 4x[/tex]

Item 2:

The distances are the values of x for which:

[tex]y = 10[/tex]

Then

[tex]-0.08x^2 + 4x = 10[/tex]

[tex]-0.08x^2 + 4x - 10 = 0[/tex]

Which is a quadratic equation with [tex]a = -0.08, b = 4, c = -10[/tex]. Then:

[tex]\Delta = 4^2 - 4(-0.08)(-10) = 12.8[/tex]

[tex]x_{1} = \frac{-4 + \sqrt{12.8}}{2(-0.08)} = 2.64[/tex]

[tex]x_{2} = \frac{-4 - \sqrt{12.8}}{2(-0.08)} = 47.36[/tex]  

The minimum distance is of 2.64 yards, and the maximum is of 47.36 yards.

A similar problem is given at https://brainly.com/question/24713268