Cara is eight years older than Byrne. In five years, Cara will be twice as old as Byrne is at that time. How old is each now?

Answer:

Step-by-step explanation:

Answer:

12x8.6=103.2 fluid ounces

Step-by-step explanation:

Answer:

103.2 fluid

Step-by-step explanation:

Per - 8.6 fluid

So if 1 bottle ve 8.6 fluid we multiply by 12 to find out how much fluid there is in 12 bottles

8.6 * 12 = 103.2 fluid

Answer:

5

Step-by-step explanation:

(-3 * 2) - (7 * (-3)) - 10 | -6 - (- 21) -10 | -6 + 21-10 = 5.

Answer:

g(-2) = -19, g(0) = -5 and g(3) = -14

Step-by-step explanation:

The given function is :

[tex]g(x) = -2x^2 + 3x - 5[/tex] ...(1)

We need to find the function when x = -2,0 and 3.

Put x = -2 in equation (1).

[tex]g(-2) = -2(-2)^2 + 3(-2) - 5\\\\=-19[/tex]

Put x = 0 in equation (1).

[tex]g(0) = -2(0)^2 + 3(0) - 5\\\\=-5[/tex]

Put x = 3 in equation (1).

[tex]g(3) = -2(3)^2 + 3(3) - 5\\\\=-14[/tex]

Hence, g(-2) = -19, g(0) = -5 and g(3) = -14

Words, or option A.

i hope this helps (:

Answer:

It's C - Domains

Step-by-step explanation:

Answer:

a=21°b=70°c=89°

Step-by-step explanation:

a=21°[by vertical opposite angle]

b+110°=180°[by linear angle]

b=180°-110°=70°

a+b+c=180°[by sum of all angle]

21°+70°+c=180

91°+c=180°

c=180°- 91°

c=89°

To find the sizes of angles a, b, and c, we need to use the properties of straight lines and angles. Since angles on a straight line add up to 180 degrees, we have: Angle a = 21°, Angle b = 159°, Angle c = 159°

Angle b: We know that the sum of angles on a straight line is 180°. Angle b and angle a are on a straight line, so we can write the equation:

b + a = 180°

Given that angle a is 21°, we can now solve for angle b:

b + 21° = 180°

b = 180° - 21°

b = 159°

Angle c: Angles b and c are vertically opposite angles, which means they are equal in measure. So, we have:

c = 159°

Angle a: We already know the measure of angle a:

a = 21°

To know more about angles

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Given:

The equation is [tex]xy=7[/tex].

To find:

Whether the given equation is a direct variation or inverse variable.

Solution:

Direct variation: y is directly proportional to x.

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

Inverse variation: y is inversely proportional to x.

[tex]y\propto \dfrac{1}{x}[/tex]

[tex]y=\dfrac{k}{x}[/tex]

Where, k is the constant of proportionality.

We have,

[tex]xy=7[/tex]

Divide both sides by x.

[tex]y=\dfrac{7}{x}[/tex]

It is in the form of inverse variation.

Since [tex]y=\dfrac{7}{x}[/tex] and it is inverse variation, therefore the correct option is (d).

Answer:

B: About 5 days

Step-by-step explanation:

1990/400=4.975

Answer:

B. about 5 days

Step-by-step explanation:

All you have to do is 1990 divided by 400 and get 4.975  which can be rounded to 5.

Answer:

f^-1(x) = (x + 4) / -5

Step-by-step explanation:

f(x) = -5x - 4        Substitute f(x) with y

y = -5x - 4         Switch the x and y variables

x = -5y - 4          Solve it down

x + 4 = -5y

y = (x + 4)/ -5

f^-1(x) = (x + 4) / -5          <----- This is the answer

Answer:

imma go with the answer A

Step-by-step explanation:

hope this helps

Answer:

14 feet

Step-by-step explanation:

Answer:

8a+4b-6

Step-by-step explanation:

Hope this helps you!!!!

Combine like terms 5a -2b - 6 + 3a + 6b

8a + 4b - 6

Answer:

11 dollars an hour.

Step-by-step explanation:

143/13=11

Answer:

Let x = BC

then by given condition

[tex]\frac{x}{12} = \frac{24}{18}\\x = \frac{12*24}{18}\\x = \frac{48}{3} = 16[/tex]

Answer:

2x - y _> 2 = 4 / y<4 3.2

Step-by-step explanation:

Answer:

I don't know what the first one is but the answer to the second one is 4.

Step-by-step explanation:

Answer:

P= a+b+c

4 cm

Step-by-step explanation:

add all the sides

5+3=8

12-8=4

4= missing side

Answer:

268

Step-by-step explanation:

Answer:

The number that goes in the box is 268

Step-by-step explanation:

Equations

We are given an incomplete identity:

___ + 308 - 126 = 450

And it's required to fill the space with the number that makes the identity true.

Let's fill the space with a variable x:

x + 308 - 126 = 450

Solving for x implies doing inverse operations as shown on the left side.

We must add 126 and subtract 308:

x = 450 + 126 - 308

x = 268

The number that goes in the box is 268

Answer: C

Step-by-step explanation:

Answer:

The answer is [10+(9x3]+4 and 5x4+(7x3).

Step-by-step explanation:

I can't really explain, but if you add 10+4, it'll be 14.

If you multiply 9x3, it'll be 27.

So, if you add 27+14, it will be 41.

For the second answer:

If you also multiply 7x3, it'll be 21. If you ALSO multiply 5x4, its 20. So if you add 20+21, it will equal 41.

Answer:

the jar will last for 15 days

Answer:

both are mathematical sentances, what you do to one side you must do to the other, goal is to isolate variable

Step-by-step explanation:

Answer:

6/11

Step-by-step explanation:

(36/121)^.5 = (36^.5)/(121^.5 )= 6/11

Answer:

h = 6 cm

Step-by-step explanation:

Given that,

The area of a trapezoid, A = 66 cm²

The sum of the lengths of the two bases of a trapezoid is 22 cm.

We need to find the height of the trapezoid.

The area of a trapezium is given by :

[tex]A=\dfrac{1}{2}\times (\text{sum of parallel sides})\times \text{height}[/tex]

Substitute the values,

[tex]h=\dfrac{2A}{\text{sum of parallel sides}}\\\\h=\dfrac{2\times 66}{22}\\\\h=6\ cm[/tex]

So, the height of the trapezoid 6 cm.

Answer:

The x intercept would be -2

Step-by-step explanation:

Answer:

&80/yt5

Step-by-step explanation:

E

Answer:

Step-by-step explanation:

Earning in week:

Remaining money after he deposits $150:

How many raffle tickets can be bought:

Answer:

12 tickets

Step-by-step explanation:

Step-by-step explanation:

A chef uses 2/3 cup of flour for every 1/8 cup of water in a dough recipe.

It means,

2/3 cup = 1/8 cup of water

[tex]1\ \text{cup}=\dfrac{\dfrac{1}{8}}{\dfrac{2}{3}}\\\\=0.1875[/tex]

Hence, the constant of proportionality is 0.1875.

Answer:

1 acute and 2 right (the last option)

Answer:

Step-by-step explanation:

1½ m = 1.5 m

¾ m = 0.75 m

area of rectangle = 1.5×0.75 = 1.125 m²

Each piece is half the rectangle. Area of one piece = 0.5625 m²