A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 4 large boxes and 8 small boxes has a total weight of 169 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 71 kilograms. How much does each type of box weigh?

Answer:

a.) 4x = 2(x + 14)

b.) Measure of A = 56°

    Measure of B = 56°

Step-by-step explanation:

We know that,

When two lines are crossed by another line transversal line , the angles in matching corners are called corresponding angles.

Also,

When two lines are parallel then the Corresponding Angles are equal.

Given that,

A = 4x and B = 2(x+14).

i.e.

∠A = 4x and ∠B = 2(x+14)

a.)

Now,

As A and B are parallel

So,

∠A = ∠B

⇒4x = 2(x + 14)                  

(This is the equation that represent the corresponding angle relationship between A and B.)

b.)

Now,

⇒4x = 2x + 2(14)

⇒4x = 2x + 28

⇒4x - 2x = 28

⇒2x = 28

⇒x = 14

So,

we get

∠A = 4(14)

      = 56

⇒∠A = 56°

and

∠B = 2(14 + 14)

     = 2(28)

     = 56°

⇒∠B = 56°

∴ we get

Measure of A = 56°

Measure of B = 56°

Answer:

x + y = 680

5x + 7y = 3914

Step-by-step explanation:

Let the amount of students who purchased tickets equal x.

Let the amount of adults who purchased tickets equal y.

If you add the amount of adults and students, you get the total amount of people:

x + y = 680

Also, to find the amount students spent on tickets, you multiply the ticket price by the amount of students to get 5x. And to find the amount adults spent on tickets, you multiply the ticket price by the amount of adults to get 7y. By adding the two amount, you get the total amount of money:

5x + 7y = 3914

These are the two equations:

x + y = 680

5x + 7y = 3914

Answer:

D. I got it right on my quiz.

Step-by-step explanation:

Answer:

m∠KPL = 90°

m∠NPM = 27°

m∠MPL = 63°

m∠JPK = 27°

m∠NPJ = 153°

Step-by-step explanation:

There's a 90° angle in m∠NPL so we can already identify the measure of m∠NPM which is 27° because 63° + 27° = 90° angle.

m∠MPL is GIVEN as 63° in the question!!!

and I'm pretty sure m∠JPK = m∠NPM which is 27°

m∠KPL is 90°. everytime you see a box around that angle, it means the angle measures 90°

Finally for m∠NPJ we add up all of the values that we already know minus the total measure which is 360°.

Explanation: total measure: 360°.  90° + 27° + 63° + 27° = 207.

360° - 207° = 153°

Answer:

35

Step-by-step explanation:

We can assume the longer side is the hypotenuse because it is significantly longer than the other side.

From there, we can do Pythagoreans Theorem.

a^2+b^2=c^2

where can is the hypotenuse.

(12.75)^2+ b^2 = (37.25)^3

162.5625 + b^2 = 1,387.5625

-162.5625 -162.5625

b^2= 1,225

square root both sides.

b= 35

Answer:

65.12 ft^2

Step-by-step explanation:

Patio's area = area of trapezoid + area of semicircle

Area of a trapezoid = 1/2  x (sum of the lengths of the parallel sides) x height

1/2 x ( 12 + 8) x 4 = 40 ft^2

Area of semicircle =  (1/2)πr²

r = 8/2 = 4ft

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

(1/2) x 3.14 x 4^2 = 25.12 ft^2

Area of patio = 40 ft^2 +  25.12 ft^2  = 65.12 ft^2

t = 40

25.12

Answer:

In a command economy, the government controls major aspects of economic production. The government decides the means of production and owns the industries that produce goods and services for the public

Step-by-step explanation:

hope this helps!

Answer:

i hope 67° is the answer .

Answer:

ITS C IT IS C!!!!!!!

Answer:

D

Step-by-step explanation:

Since x is years of experience and y is salary, every time x increases by 1, the salary will increase by $2035.6

Answer:

option 4

Step-by-step explanation:

Answer:

the answer would be 146

Step-by-step explanation:

Answer:

Third zero is 4

Step-by-step explanation:

The polynomial is;

f(x) = x³ − 4x² − 3x + 12

We are given 2 zeros which are √3 and -√3.

This means that a factor of the polynomial will b; (x² - 3) because when it is equated to zero, x will be √3 and -√3.

Now, to get the other factor of the polynomial, we have to divide x³ − 4x² − 3x + 12 by (x² - 3) using long division method.

I have attached this long division method and we have the third factor as; (x - 4)

Equating to zero, we have x = 4 as the third zero of the polynomial

Step-by-step explanation:

b = 4`² = 1/16 = 0.0625

c = 4`⁴ = 1/256 = 0.00390625

d = (⅔)° = 1

e = (⅔)² = 4/9 = 0.4444...

f = (⅔)⁴ = 16/81 = 0.197530864

Answer:

The Area of this would be 56

Step-by-step explanation:

The equation if A=PQ/2. so 7*16/2= 56

Hope this helps

Answer:

A = 224 units²

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ ( d₁, d₂ are the diagonals )

The diagonals of a rhombus bisect each other , so

d₁ = 16 + 16 = 32

d₂ = 7 + 7 = 14 , then

A = [tex]\frac{1}{2}[/tex] × 32 × 14 = 16 × 14 = 224 units²

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

8.236%

Step-by-step explanation:

P(G,G,G) = 8/17 x 7/16 x 6/15

= 7/85 (simplified)

7/85, in decimal form, is .082352

.082352 in percent form is 8.236%

Answer:

80-4(2)=72; 80-4(x) if he got x wrong.

Answer:

Choice A, x=1

Step-by-step explanation:

So, to start, there's two routes that you can take there. I am going to show one of these routes.

Within the image, you see two triangles, you are able to tell that these triangles share two of the same sides, because of congruency lines on each of them.

The first group of congruent sides have 1 line going through them, the second group has 2 lines going through them. Let's go with the first group.

With the first group, we are using the lines CB and FE, where the measurements on each of them are 3x+1 and x+3 respectively.

Since they are congruent, they are equal and we can just set them equal to each other.

Starting With:

3x+1 = x+3

Step 1) Cancel out the +1

3x+1 -1 = x+3 -1

3x = x+2

Step 2) Cancel out the x

3x -x = x+2 -x

2x = 2

Step 3) Divide by 2 get x by itself

2x/2 = 2/2

x=1

All done!

Answer: 8

Step-by-step explanation: since two opposites add up to zero, remove them from the expression. This simplifies to 4 + 4 which equals 8.

Answer:

20% of 55 is 11

Step-by-step explanation:

Answer:

10

10

Step-by-step explanation:

One fifth of fifty is 10.

Answer:

isosceles but not equilateral

Answer:

It has two of its sides equal in length.

So the Answer is ISOSCELES BUT NOT EQUILATERAL

Answer:

is equal to what

Step-by-step explanation:

I need the rest of the equation

Step-by-step explanation:

I have included a drawing of the triangle.

we can use Pythagoreans theorem.

a^2+b^2=c^2

So,

(4x)^2+(3x)^2=75^2

16x^2+9x^2= 5,625

we can add like terms.

25x^2 = 5,625

25 25

x^2 = 225

Square root both sides.

x = 15

so, leg of 4x is

4(15)= 60 m

leg of 3x

3(15)= 45 m

Hope this helps!

Answer:

[tex]4*10^{7}[/tex]

Step-by-step explanation:

Answer:

BTW C= containers and AC = area of all the containers all together.

Step-by-step explanation:

So first off you calculate the area of the container that had a crack so its

Width X Length X height    |   6 x 8 x 5 = 240

So then you look at the possible answers and then calculate the area of those   plastic containers. So then you start with the first one and it would be like this

First possible answer: 3 and 1/3  x 6 x 5 = 100 x 3c = 300ac

Second possible answer: 2 and 1/4 x 4 and 3/4 x 6 = 64.125 x 4c = 256.5ac

Third possible answer: 3.5 x 6.5 x 6 = 136.5 x 2c = 273ac

Fourth possible answer: 3 and 1/2 x 3 and 1/4 x 5 = 56.875 x 5c = 284.375ac

Hopefully this will help you find your answer!! I tried my best!! Please give brainly!!

Step-by-step explanation:

[tex] \frac{9.2 \times {10}^{ - 8} }{2.3 \times {10}^{3} } \\ = 4.0 \times {10}^{ - 11} [/tex]

Answer:

1

Step-by-step explanation:

37 is prime

Answer:

1

Step-by-step explanation:

37 is prime so 1 is the only gcf