A company uses a new machine and an old machine to print booklets. Each
machine prints booklets at a constant rate. The graph and the equation represent the relationships between x, the number of minutes the machines print, and y, the number of booklets printed.
The company uses both machines to print a total of 1,250 booklets. Both
machines start printing at the same time. During printing, the old machine breaks down and stops printing. The new machine continues printing for an additional 14 minutes and completes the order
What is the total number of minutes the new machine prints? Show or explain all
your work. Write your answer and your work below.

Answer:

Acá tenemos un sistema de ecuaciones.

El perímetro de un rectángulo es:

2*A + 2*L = 170m

donde A es el ancho y L es el largo.

Y el área del rectángulo es:

A*L = 170m^2.

Entonces, el primer paso es aislar una de las variables en una de las ecuaciones, yo voy a aislar A en la segunda:

A = 170m^2/L.

Ahora reemplazo eso en la primera ecuación y la resuelvo para L.

2*( 170m^2/L.) + 2*L = 170m.

340m^2 + 2*L^2 = 170m*L

ahora tenemos una ecuación cuadrática:

2*L^2 - 170m*L + 340m^2 = 0.

Las soluciones se pueden obtener usando la formula de Bhaskara:

\(L = \frac{+170 +- \sqrt{170^2 -4*340*2} }{2*2} = \frac{170 +-161.8}{4}\)

Entonces las soluciones son:

L = (170 + 161.8)/4 = 82.95m

L = (170 - 161.8)/4 = 4.1m

Entonces, si tomamos L = 82.95m, tenemos A = 4.1 m

y el área es:

A*L = 4.1m*82.95m = 170m^2

Answer:

Step-by-step explanation:

116

The area of the shaded part of the model shown below will be 72 square cm.

Area of a rectangle is the product of its length and width.

If a rectangle has a length of L units and a width of W units, then

Area = L × W squared units.

Marty drew a model of the school library.

The total area of the floor is 132 square centimeters.

Then the area of the shaded part of the model shown below will be

Area = 132 - 10 x 6

Area = 132 - 60

Area = 72 square cm

Then the correct option is C.

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Answer:

a number times the square root of two less than a number times the square root of two is equal to two times a number.

Step-by-step explanation:

The term that describes jellyfish skeletons formed by fluid-filled compartments is hydrostatic skeletons.

Hydrostatic skeletons are a type of skeletal system found in certain invertebrates, including jellyfish. These skeletons rely on the pressure of fluid within the body to provide support and maintain the body structure. In jellyfish, the fluid-filled compartments act as a hydrostatic skeleton, resisting compression and preventing the body from collapsing or deforming. This enables jellyfish to maintain their shape and move through the water with flexibility. By adjusting the internal pressure of the fluid-filled compartments, jellyfish can control their buoyancy and movement. Hydrostatic skeletons are advantageous for organisms that live in aquatic environments, allowing for efficient locomotion and adaptation to varying water conditions.

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Step-by-step explanation:

Answers :

a) 7+5= 12

b) 7-5= 2

c) 5

Answer:

\( \overline{AC} \) is congruent to \( \overline{DF} \), because \( \overline{AC} = 9in \), \( \overline{DF} = 8 in \). <C is congruent to <F. \( \overline{EF} \) must correspond to \( \overline{BC} \). The triangles are congruent by the SAS Triangle

Congruence Theorem only when x = 4.

Step-by-step explanation:

From the figures given, ∆ABC and ∆DEF have an included corresponding angles measuring 30° each (<C and <F), and also a given corresponding side length of 9 in each (side AC and side DF). The other given as am expression, and hence the length is unknown. For these two ∆s to be considered congruent, using the SAS Triangle Congruence Theorem, we must have two sides and an included angle of ∆ABC equal to the corresponding sides of and an included angle of ∆DEF.

We already know that 1 of the given side corresponding side lengths are equal and also the include angles are equal, to find out what value of x that will make both unknown corresponding lengths equal, in other for the SAS to be true, set 2x equal to (x + 4) to solve for x.

Thus:

2x = x + 4

Subtract x from both sides

2x - x = 4

x = 4

Substituting x = 4 into 2x and x + 4 will give us equal lengths of 8 in respectively. Therefore, if x = 4, both triangles will be congruent based on the SAS Triangle Congruence Theorem.

The answer is:

\( \overline{AC} \) is congruent to \( \overline{DF} \), because \( \overline{AC} = 9in \), \( \overline{DF} = 8 in \). <C is congruent to <F. \( \overline{EF} \) must correspond to \( \overline{BC} \). The triangles are congruent by the SAS Triangle

Congruence Theorem only when x = 4.

Answer: well about 3

Step-by-step explanation:

father(youngest)mom(middle child)oldest

oldest(youngest)mom(middle child)father

father(middle child)mom(youngest)oldest

hope this helps:)

Answer:

2pi/3 radians

Step-by-step explanation:

In the following way we can get the answer:

The measure of m∠POQ is (2/3)π radians.

A circle is a two-dimensional figure with a radius and circumference of 2πr.

we have,

Triangle POQ is an isosceles triangle.

PO = OQ

Sin P = 3/6

Sin P = 1/2

Sin P = Sin 30°

P = 30

m∠P = m∠Q = 30°

m∠P + m∠Q + m∠O = 180

30 + 30 + m∠Q = 180

m∠Q = 180 - 60

m∠Q = 120°

180° = π

120° = π x (120/180)

120° = (2/3)π radian.

Thus,

The measure of m∠POQ is (2/3)π radians.

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Answer:

1/6%

Step-by-step explanation:

i belive thats the answer hope it helps

Answer:

The area of the grassy region would be 28ft.

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

The matrix B that organizes the data is given as follows:

B = [13, 36, 27,

      10, 15, 0,

       23, 51, 27].

The matrix that shows the total value of each cap size in each location is given as follows:

C = [247, 684, 513,

      190, 285, 0,

      437, 969, 513].

The matrix B is defined considering that it will have three rows and three columns, as follows:

Then the matrix B is defined as follows:

B = [13, 36, 27,

      10, 15, 0,

       23, 51, 27].

The cost of each baseball cap is of $19, thus the cost matrix is obtained multiplying the matrix B by the constant of 19.

When a matrix is multiplied by a constant, all the elements of the matrix are multiplied by the constant, hence the cost matrix is given as follows:

C = [247, 684, 513,

      190, 285, 0,

      437, 969, 513].

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I'm assuming you want to solve for  z  :)

By simplifying both sides of the equation, then isolating the variable.

Exact form:

z= -5/3 , - 11/3

Mixed number form:

z=  −1  2/3  ,  −3  2/3

Answer:

There are two solutions, -5/3 and -11/3

Step-by-step explanation:

Move -5 to the right side and add:

-5 | 3x + 8 | = -15

Get rid of the absolute-value bars by splitting them into negative and positive cases.

Solve negative case

-5 ( 3z + 8 ) = -15

Distribute or Multiply:

-15z - 40 = -15

Rearrange and Add:

-15z = 55

Divide both sides by 15:

-z= 11/3

Multiply both sides by -1:

z= -11/3

Solve negative case

5 ( 3z + 8 ) = -15

Distribute or Multiply:

15z + 40 = 15

Rearrange and Add:

15z = -25

Divide both sides by 15:

z = -(5/3)

Answer

z=-11/3

z=-5/3

Answer:

C. (0, 14)

Step-by-step explanation:

g(x) = f(x) + 9

g(x) = -3x + 5 + 9

g(x) = -3x + 14

y = mx + b

b = 14

The value of y - intercept of the function are,

⇒ (0, 14)

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

the two functions given below.

⇒ f(x) = -3x+5

And, g(x) = f(x)+9

Hence, We get;

g(x) = f(x) + 9

g(x) = -3x + 5 + 9

g(x) = -3x + 14

So, The value of y - intercept of the function are,

⇒ y = 14

⇒ (0, 14)

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Answer:

The answer is I don't know

Answer:

y=-1/8x

Step-by-step explanation:

Answer:

2x^4 + x^3 + 6x + 12vertical shift 7 units up increase of 7 units per month

correct me if I'm wrong.

Answer:

$77429.824

Step-by-step explanation:

Let the total college cost for one year = x

43% of x was paid with scholarship fee

Percentage left = 100% - 43% = 57%

57% is equivalent to 11,033.75

57/100x= 11,033.75

0.57x = 11033.75

x = 11033.75 / 0.57

x =19357.456 ; this is Jacinta's college fee for a year ;

Hence

College fee for 4 years :

19357.456 * 4 = $77429.824

An equation for the distance between the two friends after time (t) in hours is given by: c = 50t

Given,

Two friends drive off in different directions from the same place. One heads North at 30 miles per hour, while the other heads East at 40 miles per hour.

We have to find the equation for the distance between the friends after t hours.

Here,

The distance covered by each friend should be calculated as follows:

For the first friend heading North, we have;

Distance, a = speed × time

Distance, a = 30t

For the second friend heading East, we have:

Distance, b = speed × time

Distance, b = 40t

By applying Pythagorean theorem, the distance between these two friends after an amount of time (t) is given by:

Distance, c² = a² + b²

Distance, c² = (30t)² + (40t)²

Distance, c² = 900t² + 1600t²

Distance, c² = 2500t²

Distance, c = √(25 × 100t²)

Distance, c = √25t² × √100

Distance, c = 5t x 10

Distance, c = 50t

Therefore,

The equation for the distance between the friends after t hours is c = 50t

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Answer: 48s+12p-18 this is the correct answer i just took the test

The expression that represents the total cost can be written as -

y = as + pb - 18.

Given is that at the ski shack, customers can rent, skis, snowboards, boots, and poles by the day. Mrs. Alvarez is renting skis and poles.

Assuming the cost to rent skis for 1 day is $a and the cost of renting the poles is $b. Then we can write the expression that represents the total cost as -

y = as + pb - 18

Therefore, the expression that represents the total cost can be written as - y = as + pb - 18.

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Answer:

a) 3

b) \(\frac{3}{2}\)

Step-by-step explanation:

Ewen has 48 white tiles and 16 blue tiles.

(a) Write down the ratio of the number of white tiles to the number of blue tiles.

Give your ratio in its simplest form.

The cost of each white tile was £2

The cost of each blue tile was £4

(b) Work out the ratio of the total cost of the white tiles to the total cost

of the blue tiles.

Answer:

a) Since they are 48 white tiles and 16 blue tiles, ratio of the number of white tiles to the number of blue tiles is the number of white tiles divided by the number of blue tiles. Therefore:

Ratio of white tiles to the blue tiles = number of white tiles/number of blue tiles = \(\frac{48}{16}=3\)

b)  total cost of the white tiles = number of white tiles × cost of each white tile = 48 tiles × £2 per tile = £96

total cost of the blue tiles = number of blue tiles × cost of each blue tile = 16 tiles × £4 per tile = £64

ratio of the total cost of the white tiles to the total cost  of the blue tiles = total cost of the white tiles/total cost  of the blue tiles = \(\frac{96}{64}=\frac{3}{2}\)

Answer:

174.1 degrees

Step-by-step explanation:

180 - 5.9 = 174.1

Answer:

2/24

Step-by-step explanation:

This is because there are chance of getting the other colors.

Answer:

12 the probability that both mark and jennifer win

The truth value of an argument's premises cannot be determined solely by the fact that the argument has a false conclusion, as the premises could be true, false, or partly true and partly false.

If an argument has a false conclusion, it means that the conclusion is not true or accurate. However, the truth value of the argument's premises is not necessarily determined by the truth value of the conclusion. The premises could be true, false, or partly true and partly false.

A valid argument is one where the conclusion follows logically from the premises. This means that if the premises are true, then the conclusion must also be true. However, if the conclusion is false, it could mean that either one or more of the premises are false, or that there is a flaw in the logical reasoning process used to derive the conclusion from the premises.

Therefore, having a valid argument with a false conclusion does not necessarily tell us anything about the truth value of the argument's premises. Additional information is needed to determine whether the premises are true, false, or partly true and partly false. The validity of the argument only tells us that if the premises are true, then the conclusion must also be true, but it does not guarantee the truth value of the premises or the conclusion on their own.

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Answer:

b = -11/5

Step-by-step explanation:

Part (a)

Part (b)

Yes, the triangles are congruent by RHS.

From the given density function, we see that f(y1, y2) = 6(1 − y2), 0 ≤ y1 ≤ y2 ≤ 1, 0, elsewhere. Therefore,f1(y1) = ∫0

Given that the joint probability density function of y1 and y2 is f(y1, y2) = 6(1 − y2), 0 ≤ y1 ≤ y2 ≤ 1, 0, elsewhere. The task is to find the marginal density function for Y1.The marginal probability density function for Y1 can be found as follows:The marginal probability density function for Y1 is obtained by integrating the joint probability density function over all possible values of Y2.

Thus we can write f1(y1) as follows:f1(y1) = ∫f(y1, y2)dy2From the given density function, we see that f(y1, y2) = 6(1 − y2), 0 ≤ y1 ≤ y2 ≤ 1, 0, elsewhere. Therefore,f1(y1) = ∫0.

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Step-by-step explanation:

-4x=-4-20

-4x=-24

x=-24/-4=6

Answer:

-84

Step-by-step explanation: