A chef mix his salt and pepper. If he put 2/3 cup of salt and 1/2 cup of pepper in his shaker, what is the ratio of salt to pepper ?

Treat the matrices on the right side of each equation like you would a constant.

Let 2X + Y = A and 3X - 4Y = B.

Then you can eliminate Y by taking the sum

4A + B = 4 (2X + Y) + (3X - 4Y) = 11X

==>   X = (4A + B)/11

Similarly, you can eliminate X by using

-3A + 2B = -3 (2X + Y) + 2 (3X - 4Y) = -11Y

==>   Y = (3A - 2B)/11

It follows that

[tex]X=\dfrac4{11}\begin{bmatrix}12&-3\\10&22\end{bmatrix}+\dfrac1{11}\begin{bmatrix}7&-10\\-7&11\end{bmatrix} \\\\ X=\dfrac1{11}\left(4\begin{bmatrix}12&-3\\10&22\end{bmatrix}+\begin{bmatrix}7&-10\\-7&11\end{bmatrix}\right) \\\\ X=\dfrac1{11}\left(\begin{bmatrix}48&-12\\40&88\end{bmatrix}+\begin{bmatrix}7&-10\\-7&11\end{bmatrix}\right) \\\\ X=\dfrac1{11}\begin{bmatrix}55&-22\\33&99\end{bmatrix} \\\\ X=\begin{bmatrix}5&-2\\3&9\end{bmatrix}[/tex]

Similarly, you would find

[tex]Y=\begin{bmatrix}2&1\\4&4\end{bmatrix}[/tex]

You can solve the second system in the same fashion. You would end up with

[tex]P=\begin{bmatrix}2&-3\\0&1\end{bmatrix} \text{ and } Q=\begin{bmatrix}1&2\\3&-1\end{bmatrix}[/tex]

Step-by-step explanation:

hence it has been done . check the file .

hope this helped you

any problem then comment it .

Answer:

Inequality form:

x>1

Interval Notation:

( 1, infinity)

Answer:

All whole numbers are rational numbers.

False

All integers are whole numbers.

True

There are integers that are not rational numbers.

True

There are whole numbers that are not integers.

True.

The volume of the frustum that is shown in the diagram is: C. 256 m³.

The volume of frustum = Volume of the bigger rectangular pyramid - Volume of smaller rectangular pyramid.

Find the volume of the original (bigger) rectangular pyramid:

Volume of rectangular pyramid = 1/3(lwh) = 1/3(12 × 6 × 14)

Volume of rectangular pyramid = 336 m³

Find the volume of the smaller (the top that was removed) rectangular pyramid:

Volume of rectangular pyramid = 1/3(lwh) = 1/3(10 × 4 × 6)

Volume of rectangular pyramid = 80 m³

The volume of frustum = Volume of the bigger rectangular pyramid - Volume of smaller rectangular pyramid = 336 - 80 = 256 m³.

Thus, the volume of the frustum that is shown in the diagram is: C. 256 m³.

Learn more about volume of frustum on:

https://brainly.com/question/1641223

Answer:

3^4 / 8^2 or 81/64

Step-by-step explanation:

(-8)^-2 / 3^-4 =

= 3^4 / (-8)^2

= 3^4 / 8^2

= 81/64

Answer:

expression is 20. +20...

Answer:

f(x) / g(x) = (3x+2)/ (3x+5) x ≠-5/3

Step-by-step explanation:

f(x) = 3x + 2

g(x) = 3x - 5

f(x) / g(x) = (3x+2)/ (3x+5)

The denominator cannot equal zero

3x+5 ≠0

3x≠-5

x ≠-5/3

Answer:

47°;47°;113°;113°

Step-by-step explanation:

3x+5=61-x

4x=56

X=14

Answer:

Population

Step-by-step explanation:

A.

A population is the entire group that is being studied while a sample is a subset of the population that is being studied.

Answer:

C

(0,−3)

E

(5,−2)

Step-by-step explanation:

We need to find a point in the shaded region

A

(−4,1)

x = -4 is not in the shaded region

B

(−3,−4)

x = -3 is not in the shaded region

C

(0,−3)

Since the bottom line is solid, this is in the shaded region

D

(0,1)

Since the line is dotted, this is not in the shaded region

E

(5,−2)

This point is in the shaded region

Answer:

Step-by-step explanation:

its right

Answer:

x = complement

x + 5.2 = first angle (5.2 more than complement)

measure of two complementary angles add up to 90.

x + x+ 5.2 = 90

2x = 84.8

x = 42.4

other angle = x + 5.2 = 42.4 + 5.2 = 47.6

hope it's help you.....!!!!!

plz mark as brain list...!!!!

plz follow me #Rishu....!!!!!

Step-by-step explanation:

Hope it will help you .

.

.

.

False because 5 is associated with two values.

To be a function, the domain can only map to one range value, but in this case, 5 is mapped to two values, 1 and 3.

Answer:

sin²A-5 sinA+6

=sin²A-(3+2)sinA+6

=sin²A-3sinA-2sinA+6

=sinA(SinA-3)-2(sinA-3)

=(sinA-2) (sinA-3)

hope this help you

Answer:

sin²A-5 sinA+6

=sin²A-(3+2)sinA+6

=sin²A-3sinA-2sinA+6

=sinA(SinA-3)-2(sinA-3)

=(sinA-2) (sinA-3)

Answer:

He ate 1/12 of the pizza

Step-by-step explanation:

Divide the pizza by 4 to get the share each friend got

1/4

Then Binli ate 1/3 of his share

1/4 * 1/3 = 1/12

He ate 1/12 of the pizza

Answer:

Sally is currently 4 years old.

Step-by-step explanation:

Kaden is 18 years older than Sally now. In 5 years, Kaden will be 3 times as old as Sally. How old is Sally now?

Let Kaden's current age be [tex]k[/tex] and Sally's current age be [tex]s[/tex]. We can write the following algebraic equation using the fact that Kaden is currently 18 years older than Sally:

[tex]k=s+18[/tex]

Next, we will use the fact that in 5 years, Kaden will be 3 times as old as Sally. If Kaden and Sally's current ages are [tex]k[/tex] and [tex]s[/tex] respectively, then their ages in 5 years will be [tex]k+5[/tex] and [tex]s+5[/tex] respectively. Therefore, we have:

[tex]k+5=3(s+5)[/tex]

We have two equations with two variables. To solve for either variable, we need to create an equation with only one variable. Therefore, let's substitute the first equation into the second:

[tex](s+18)+5=3(s+5)[/tex]

Distribute and combine like terms:

[tex]s+18+5=3s+15,\\s+23=3s+15[/tex]

Subtract [tex]s[/tex] from both sides, then subtract 15 from both sides:

[tex]8=2s[/tex]

Divide both sides by 2:

[tex]s=\frac{8}{2}=\boxed{4}[/tex]

Therefore, Sally is currently 4 years old.

Answer:

Sally is 4 years old now.

Step-by-step explanation:

Let Sally's age = x

Kaden's age = x + 18

In 5 years, they are both 5 years older than now.

Sally will be x + 5

Kaden will be x + 18 + 5 = x + 23

"In 5 years, Kaden will be 3 times as old as Sally."

x + 23 = 3(x + 5)

x + 23 = 3x + 15

-2x = -8

x = 4

Answer: Sally is 4 years old now.

[tex]\\ \sf\longmapsto -\sqrt{64}[/tex]

[tex]\\ \sf\longmapsto -\sqrt{8\times 8}[/tex]

[tex]\\ \sf\longmapsto -\sqrt{8^2}[/tex]

[tex]\\ \sf\longmapsto 8i[/tex]

It belongs to set of complex numbers

Answer:

D. Both ends go down.

Step-by-step explanation:

f(x) = -2(x-17)^4

As x goes to -∞

f(-∞) = -2(-∞)^4 = -2 (∞) = -∞

As x goes to ∞

f(∞) = -2(∞)^4 = -2 (∞) = -∞

Both ends go to  -∞, or go down

[tex]\\ \sf\longmapsto 2(4x-1)+3(3-2x)=0[/tex]

[tex]\\ \sf\longmapsto 8x-2+9-6x=0[/tex]

[tex]\\ \sf\longmapsto 8x-6x-2+9=0[/tex]

[tex]\\ \sf\longmapsto 2x+7=0[/tex]

[tex]\\ \sf\longmapsto 2x=-7[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-7}{2}[/tex]

Answer:

F is reduced by 31%

Step-by-step explanation:

F = 1/(d²)

now, we increase the distance by 20% (multiply by 1.2).

F new = 1/(1.2×d)² = 1/(1.44×d²) = (1/1.44) × (1/(d²)) =

= 1/1.44 × old F = 0.69 × old F

100 - 69 = 31%

Let the no be x

ATQ

[tex]\\ \sf\longmapsto 6x+11=17[/tex]

[tex]\\ \sf\longmapsto 6x=17-11[/tex]

[tex]\\ \sf\longmapsto 6x=6[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{6}{6}[/tex]

[tex]\\ \sf\longmapsto x=1[/tex]

Answer:

1

Step-by-step explanation:

let the number be x

and solve it

Answer:

ur answer is 199 thank me later

Answer:

194 ft²

Step-by-step explanation:

Area of rectangle R1 = length * width

                                  = 8 * 5

                                  = 40  square feet

Area of rectangle R2 = 14 * 11

                                    = 154 square feet

Area of the figure = 40 + 154 = 194 ft²

Answer:

[tex]4\sqrt{3}[/tex]

Step-by-step explanation:

[tex]4\sqrt{3}[/tex] = [tex]\sqrt{6}[/tex] x [tex]\sqrt{8}[/tex]

Answer:

4 root 3 is the answer

Step-by-step explanation:

hope its help

Answer:

23.73pi (rounded to the nearest hundredth)

Step-by-step explanation:

You can find the radius of the half-circle by looking at the triangle. You then calculate the area of a circle with that radius and divide the area by 2. Area of full circle=113.1

113.1/2=56.55. You must now calculate the area of the triangle, (6*6)/2. This gives you 18. Add your areas together, 56.55+18=74.55. Now divide your answer by pi. Then you put it as an equation of 74.55/pi = 23.73pi.

Answer:

300 raisins

Step-by-step explanation:

sum the parts of the ratio, 3 + 27 = 30 parts

Divide the total by 30 for the value of one part of the ratio.

3000 ÷ 30 = 100 ← value of 1 part of the ratio , then

3 parts = 3 × 100 = 300 ← number of raisins in a box

Step-by-step explanation:

which language is right

Answer:

x = 54.6 m

Step-by-step explanation:

Δ MAB and Δ MNP are similar, then corresponding sides are in proportion, that is

[tex]\frac{MA}{MN}[/tex] = [tex]\frac{MB}{MP}[/tex] , substitute values

[tex]\frac{80.5-35}{80.5}[/tex] = [tex]\frac{x}{96.6}[/tex]

[tex]\frac{45.5}{80.5}[/tex] = [tex]\frac{x}{96.6}[/tex] ( cross- multiply )

80.5x = 4395.3 ( divide both sides by 80.5 )

x = 54.6

Answer:

Answer:

Answer:x = 25°

Answer:x = 25°Step-by-step explanation:

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )- x = - 25 ( multiply both sides by - 1 )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )- x = - 25 ( multiply both sides by - 1 )x = 25°

Hence the answer is 25.

Answer:

y = 5x

In the coordinate (3, 3), the first number is the x value and the second number is the y value.

So, does 3 = 5(3).

The answer is no, so this coordinate does not make the equation true.

Let me know if this helps!

Answer: No, the given point does not make the equation true.

===========================================================

Explanation:

There are three different ways to approach this.

One way is to plug x = 3 into the equation to find that

y = 5x

y = 5*3

y = 15

But that doesn't match up with y = 3 from the point (3,3). So we see that (3,3) is not a solution to y = 5x.

------

Or another method we could do is plug x = 3 and y = 3 to find a contradiction

y = 5x

3 = 5*3

3 = 15

The contradiction being that 3 on the left side doesn't match with 15 on the right side. The false equation at the end means y = 5x is false for (x,y) = (3,3), and therefore this point is not a solution to y = 5x.

------

The third method involves graphing the line y = 5x. You can see that (3,3) is not on the line, which visually confirms the results of the previous two sections. So for a point to be a solution, it must be on the line.

Answer:

B  -150.

Step-by-step explanation:

The minimum value of a sine is -1

So the answer is 15 * - 1 = -150.

Answer:

-150

Step-by-step explanation:

F(x)=150•sin(3•x)

The minimum that sin takes is negative 1

so 150(-1) = -150

The minimum of f(x)  is -150

Answer:

C. -2(-2)

Step-by-step explanation:

A. -2(-1/5) = 1

B. -2(1/2)=1

C. -2(-2)=4

D. -2(2)=-4