If you buy 12 pounds of lettuce for $96 what is the rate which one pound of lettuce costs

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Real part with real part, complex part with complex part...

(-7 + 3i) - (2 - 6i)

(-7 + 3i) - (2 - 6i) = ((-7 - (+ 2)) + (3i - (- 6i))) = - 5

((-7 - 2) + (3i + 6i))

Answer:

55

Step-by-step explanation:

we know ,

discount = M.P - S.P

=300 - 245

= Rs 55

Answer:

22.45%

Step-by-step explanation:

300-245=55

then do like in the pic

Answer:

T^2g / (4 pi^2)  = L

Step-by-step explanation:

T = 2 pi sqrt( L /g)

Divide each side by 2 pi

T / 2 pi = 2 pi sqrt( L /g) /  2 pi

T / 2 pi = sqrt( L /g)

Square each side

(T / 2 pi) ^2 =( sqrt( L /g))^2

T^2 / (4 pi^2)  = L /g

Multiply each side by g

T^2 / (4 pi^2)   *g= L /g *g

T^2g / (4 pi^2)  = L

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]The \:standard \: form \:of \: a \:linear \: equation \: is \: Ax+By=C.\\\\Multiply \:both \:sides \:by \:2\\\\2(y+6)=2(\frac{-5}{2}(x+4)) \\\\Simplify\\\\2y+12=-5x-20\\2y+5x=-20-12\\\\2y+5x=-32\\\\Rewrite\:in \:Ax+By+C\:form\\\\= 5x+2y=-32[/tex]

Answer:

The way a proportion is set is as follows;

[tex]\dfrac{1 \ inch}{200 \ miles } = \dfrac{4 \ inches}{ Distance \ from \ Rio \ de \ Janeiro \ to \ San \ Jose}[/tex]

The Distance from Rio de Janeiro and San Jose Costa Rica is then found as  800 miles

Step-by-step explanation:

The dimension of the distance between Rio de Janeiro and San Jose Costa Rica = 4 inches

The map scale = 1 inch to 200 miles

To figure out how many miles it is or the actual distance from Rio de Janeiro and San Jose Costa Rica, we have;

[tex]\dfrac{1 \ inch}{200 \ miles } = \dfrac{4 \ inches}{ Distance \ from \ Rio \ de \ Janeiro \ to \ San \ Jose}[/tex]

Therefore, we have;

(4 inches × 200 miles)/(1 inche) = Distance from Rio de Janeiro and San Jose Costa Rica

Which gives;

Distance from Rio de Janeiro and San Jose Costa Rica = 800 miles.

Answer:

Amount received by wife = RS 24000

Amount received by father = RS 16000

Step-by-step explanation:

His income is RS 80000

He gave 30% of his income to his wife

That's

[tex] \frac{30}{100} \times RS \: \: 80000[/tex]

Which is RS 24000

He gave 20% of his income to his father

That's

[tex] \frac{20}{100} \times RS \: \: 80000[/tex]

Which is RS 16000

Hope this helps you

Answer:

The period of y = sin(x) is 2π

The period of y = sin x would be equal to  2π.

The period of the function y = sin x refers to the length of one complete cycle of the graph of the sine function.

In this case, the period is calculated by the coefficient of x, which is 1.

For the function y = sin x, the period is 2π which means that the graph of y = sin x repeats itself every 2π units along the x-axis.

If the graph of y = sin x. Starting from the point (0,0), as x increases by 2π, then the y-values will repeat the same pattern. This repetition continues indefinitely as x increases or decreases.

Therefore, we can conclude that the period of y = sin x is 2π.

Learn more about the period here;

https://brainly.com/question/14322515

#SPJ6

The equation of the line is y = 3x - 4, so the inequality is y <= 3x - 4.

Answer:

y <= 3x - 4

Standard form: [tex]3x-y-4\geq 0[/tex]

Copy-paste: 3x-y-4>=0

Answer:

448

Step-by-step explanation:

we have four spaces

_ _ _ _ but we know that they end in 3

_ _ _ 3 so the question changes how many 3 digit numbers can be formed without repetion and 3

so the first one has 8 options 1,2,4,5,6,7,8,9 we can have 0 here.

the second one 8 we count 0

the third 7 so we have

8*8*7*1=448

dont know why it doesn't fit.

Answer:

It's the 2nd option 2*2*3*3*5

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

you find a square root that goes into 180. i did 4 times 45. when you break apart 4 you get two times two. when you break apart 45 to get another square root, you get 9 times 5. when you break down 9 you get 3 and 3. so it is 2 times 2 times 3 times 3 times 5

Answer:

2730÷30=91

Step-by-step explanation:

take the number of books and divide it by the number of books each shelve can hold and ull get ur answer

Answer:

4 of the berries will be shaded

Step-by-step explanation:

The model that shows that 4 out of 10 strawberries were eaten is attached.

We have, 4 out of 10 strawberries were eaten in a fruit tray.

Refer to the image attached. This model shows that the 4 out of 10 strawberries were eaten.

Therefore, the model that shows that 4 out of 10 strawberries were eaten is attached.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

SPJ2

Answer:

Step-by-step explanation:

A quadrilateral can be inscribed in a circle only if the sum of its opposite angles is equal to 180°, so:

7x - 15 + 3x + 15 = 180°      and      2(17y - 10) + 13y + 12 = 180°

     10x = 180°                                  34y - 20 + 13y + 12 = 180°

       x = 18°                                             47y = 188°

                                                                   y = 4°

m∠M:  2(17•4 - 10) = 2•58° = 116

m∠N:   7•18 - 15 =126 - 15 = 111

m∠O:   13•4 + 12 = 52 + 12 = 64  

m∠P:    3•18 + 15 = 54 + 15 = 69

Answer:

299.99 miles

Step-by-step explanation:

Since the plane traveled due west,

The total angle is 49.17 + 90

Represent that with θ

θ = 49.17 + 90

θ = 139.17.

Represent the sides as

A = 170

B = 150

C = unknown

Since, θ is opposite side C, side C can be calculated using cosine formula as;

C² = A² + B² - 2ABCosθ

Substitute values for A, B and θ

C² = 150² + 170² - 2 * 150 * 170 * Cos 139.17

C² = 22500 + 28900 - 51000 * Cos 139.17

C² = 51400 - 51000 (−0.7567)

C² = 51400 + 38,591.7

C² = 89,991.7

Take Square Root of both sides

C = 299.9861663477167

C = 299.99 miles (Approximated)

Hence, the distance between the plane and the airport is 299.99 miles

Answer:

40

Step-by-step explanation:

Two denominator are 5 and 8, we need to find their L.C.F. so since the only common number between 5 and 8 is 1, so,

L.C.F. = 1×5×8 = 40, so common denominator = 40

Answer:

n-35=40

n=75 (the amount she started with)

Step-by-step explanation:

Answer:

[tex]\boxed{478.02}[/tex]

Step-by-step explanation:

→ First understand what Pythagoras theorem is

Pythagoras is a theorem used to find the hypotenuse (the side opposite to the right-angle) of a triangle. We would need the base lengths as well the height in order to use Pythagoras.

→ State the formula and identify the letters

a² + b² = c² ⇒ where 'a' is 380cm, 'b' is 290cm and 'c' is what we are trying to work out

→ Substitute in the values into the formula

380² + 290² = c²

⇒ Simplify

144400 + 84100 = c²

⇒ Collect the numbers together

228500 = c²

⇒ Square root both sides to find 'c'

478.0167361 = c

→ The length of the diagonal is 478.02

Answer:

The First answer is 57

Step-by-step explanation:

You take the two angles that you have and add them. Then you subtract that number from 180 and you get your answer. So, it should look something like this; 46+77=123, 180-123=57

Answer:

Place compass at P and, with compass set to segment AB, draw an arc that intersects line PA  2nd answer.

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

21+(36+19)

21+(55)

21+55

=76

Answer:

The identity property

Step-by-step explanation:

I took it on Egd.

Answer:

nice answer

Step-by-step explanation:

true because there is every assurance that you might lose or win

Answer:

2√5

Step-by-step explanation:

hypotenuse of the second triangle = √(9²-5²)

= 2√14

so,

x = √{(2√14)²-6²}

= 2√5

Answer:

2sqrt(5)

Step-by-step explanation:

The left triangle is a right triangle so we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs  and c is the hypotenuse

5^2 + b^2 = 9^2

b^2 = 9^2 - 5^2

b^2 = 81-25

b^2 =56

Taking the square root of each side

b = sqrt(56) = sqrt(4*14) = 2 sqrt(14)

The right side is also a right triangle so we can  use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs  and c is the hypotenuse

x^2 + 6^2 = (sqrt(56))^2

x^2 +36 = 56

x^2 = 56-36

x^2 = 20

Taking the square root

sqrt(x^2) = sqrt(20) = sqrt(4*5) = 2sqrt(5)

Answer:

Step-by-step explanation:

Since the school's parking lot is a square,

Area of a square = l²

where l is the length of one side

From the question

Area = 3025ft²

We have

3025 = l²

Find the square root of both sides

l = √3025

l = 55ft

The length of each side of the parking lot is 55ft

Hope this helps you

Answer:

x^2 + 13x + 2

Step-by-step explanation:

The perimeter is all of the sides added up.

11 + 3x + x^2 + 2 -(-6x+5) + 2/5(10x-15)

11 + 3x + x^2 + 2 + 6x -5 + 4x - 6

x^2 + 13x + 2

Basically, we combine like terms and you will get a final answer of:

x^2 + 13x + 2.

This is the simplified expression! I hope this helped.

Answer:

3, 10, 1080

Step-by-step explanation:

A coefficient, is the number that is multiplying a variable, such as x. A constant is any other number, not multiplying a variable.

For part one, the number multiplying the variable x is 3, so 3 is the coefficient.

For part two, the only number not multiplying a variable is the 10, so that is the constant.

To find how many miles she drove, we first need to subtract the first 30 dollars from the final payment.

300-30=270

We than need to divide 270 by .25, because that is how much it costed per mile.

270/.25=1080

Answer:

In the first question shown, the answer is 3

In the second question shown, the answer is 10

In the third question shown, the answer is 1080 miles

Step-by-step explanation:

First question - 3 is the number before x, making it the coefficient

Second question - 10 is the only number without a variable, making it a constant

Third question - .25 * 1080 = 270. 270 + 30 = 300.

Answer:

7). 1

8). 3

9). 1

Step-by-step explanation:

7). [tex][3\div (2\times 1)]\frac{2}{3}[/tex]

  [tex]=[3\div 2]\frac{2}{3}[/tex]

  [tex]=\frac{3}{2}\times \frac{2}{3}[/tex]

  [tex]=1[/tex]

8). [tex]2(3\times 2-5)+3\times \frac{1}{3}[/tex]

  [tex]=2(6-5)+\frac{3}{3}[/tex]

  [tex]=2(6-5)+1[/tex]

  [tex]=2+1[/tex]

  = 3

9). [tex]6\times \frac{1}{6}+5(12\div 4-3)[/tex]

  [tex]=6\times \frac{1}{6}+5(\frac{12}{4}-3 )[/tex]

  [tex]=1+5(3-3)[/tex]

  = 1

Answer:

37

Step-by-step explanation:

Hello!

First we add 15 to both sides

[tex]\frac{-5x-10}{5} = -2x + 35[/tex]

Multiply both sides by 5

-5x - 10 = -10x + 175

Add 10 to both sides

-5x = -10x + 185

Add 10x to both sides

5x = 185

Divide both sides by 5

x = 37

The answer is 37

Hope this helps!

[tex]\dfrac{-5x-10}{5}-15=-2x+20\quad|\cdot5\\\\-5x-10-75=-10x+100\\\\-5x+10x=100+10+75\\\\5x=185\quad|:5\\\\\boxed{x=37}[/tex]

Answer:

Because to get a straight line you need a scale. Otherwise you will not be able to graph a straight line.

Hope this helps:)

Answer:

300 minutes

2:00 p.m

Step-by-step explanation:

Given the following:

Time taken to mark a script :

Mrs Kanja = 5mins

Miss Kanene = 4mins

Mrs Nyaga = 12 mins

Number of scripts = 160

Start time = 9:00 a.m

Rate at which each of them mark:

Mrs Kanja = t / 5

Miss Kanene = t/4

Mrs Nyaga = t/12

Combined rate :

t/5 + t/4 + t/12 = 160

(12t + 15t + 5t) / 60 = 160

32t / 60 = 160

32t = 160 * 60

32t = 9600

t = 9600 / 32

t = 300 minutes

300 minutes = 300/60 = 5hrs

9:00 a.m + 5 hours = 2:00 p.m