A shopper bought 7 ears of corn and 6 pounds of bananas and paid $5.15. At the same store, another shopper bought 4 ears of corn and 1 pound of bananas and paid $1.85 . What is the price of an ear of corn?


Please help!

Answer:

The answer is 40/9

Step-by-step explanation:

Pregunta completa:

1. La empresa transporta 198 toneladas de cable de acero, desde la ciudad de Arequipa hasta Cuzco, utilizando el servicio de dos camiones, donde la capacidad del camión “A” es de 9 toneladas y la capacidad del camión “B” es de 2/3 de la capacidad del camión “A”, si se realizaron un total de 27 viajes, responda las siguientes preguntas:

a) ¿Cuántos viajes hizo cada camión?

b) ¿Cuántas toneladas de cable metálico transportó el camión de mayor capacidad?

c) ¿Qué parte del total de toneladas transportadas corresponde al camión de menor capacidad?

d) Suponiendo que deba recibir una factura por el servicio de transporte, ¿cómo se debe completar la factura?

Considere la siguiente tarifa de transporte por viaje.

Respuesta:

Camión A = 12 viajes

Camión B = 15 viajes

Camión A = 108 toneladas

Camión más pequeño = 90 toneladas = 5/11 del total de toneladas

Camión A = 13230

Camión B = 11036.25

Explicación paso a paso:

Capacidad del camión A = 9 toneladas

Capacidad del camión B = 2/3 * 9 = 6 toneladas

Total viajes realizados = 27

Toneladas totales de cable de acero a transportar = 198

Sea el número de viajes realizados por

Camión A = a; Camión B = b

a + b = 27 ____ (1)

9a + 6b = 198 __ (2)

Den (1)

a = 27 - b

Ponga un en (2)

9 (27 - b) + 6b = 198

243 - 9b + 6b = 198

243 - 3b = 198

-3b = - 45

b = 45/3

b = 15

a = 27 - 15

a = 12

El camión A tiene la mayor capacidad = 12 viajes * 9 toneladas por viaje = 108 toneladas

Toneladas transportadas por camión de menor capacidad = 15 viajes * 6 toneladas = 90 toneladas

90 toneladas / 198 toneladas = 5/11 del total de toneladas

Tarifa por viaje:

Camión “A” S / .1102,5

Camión “B” S / .735,75

Por eso,

Camión A = 1102.5 * 12 = 13230

Camión B = 735,75 * 15 = 11036,25

Answer:

50.87 : 66.13.

Step-by-step explanation:

10/(10+13) * 117

= 10 * 117 / 23

= 50.87.

117 - 50.87 = 66.13.

When 117 kg is decreased in 10:13, then it is partitioned in two parts, first part being of  50.87 kg and second part being of 66.13 kg approximately.

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b or [tex]\dfrac{a}{b}[/tex]

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unit-less(no units) quantity.

Therefore, suppose the given 117 kg of amount is divided in two parts viz [tex]x \: \rm kg[/tex] and [tex]y \: \rm kg[/tex] having ratio as 10:13

Then, we get two equations as:

[tex]x + y = 117[/tex]

[tex]\dfrac{x}{y} = \dfrac{10}{13}[/tex]

From the second equation, we get x in terms of y as:

[tex]\dfrac{x}{y} = \dfrac{10}{13}\\\\\text{Multiplying y on both the sides}\\\\x = \dfrac{10y}{13}[/tex]

Putting this value of x in first equation, we get:

[tex]x + y = 117\\\\\dfrac{10y}{13} + y = 117\\\\\dfrac{10y + 13y}{13} = 117\\\\23y = 117 \times 13\\y = \dfrac{1521}{23} \approx 66.13[/tex] (in kg)

And therefore, from the expression for x, we get:

[tex]x = \dfrac{10y}{13} \approx \dfrac{10 \times 66.13}{13} \approx 50.87[/tex] (in kg)

Thus, when 117 kg is decreased in 10:13, then it is partitioned in two parts, first part being of  50.87 kg and second part being of 66.13 kg approximately.

Learn more about ratio here:

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Step-by-step explanation:

given= in triangle PQR,<R=90⁰ QR=61 FEET RP=90 FEET

by using pythagoras therom ;

(hypotenuse)²=(side1)² +(side2)²

(PQ)²=(PR)²+(QR)²

(PQ)²=(90)² + (61)²

(PQ)²=8100 + 3721

(PQ)²=11821

TAKING SQUARE ROOTS ON BOTH SIDES, WE GET;

PQ= 108 feet

<P = thita

sin ⁰ = opposite/hypotenuse

sin⁰ =QR/PQ

SIN⁰ =61/108

SIN⁰ =0.56

there amgle P measures 0.56 degree

Answer:

34

Step-by-step explanation:

its right

Answer:

[tex]2 \times 9 = 3 \times y \\ y = 18 \div3 = 6 \\ 6 \times 3 = x \times 5 \\ x = 18 \div 5 = 3.6[/tex]

Answer:

20ft

Step-by-step explanation:

Answer:

•12.12

•56.92

Step-by-step explanation:

•Sin 30° = x ÷ 14√3

x=14√3 *Sin30

x=7√3

x=12.12

•Tan30°=6√3÷x

x=6√30 ÷Tan 30

x=18√10

x=56.92

Answer:

Assuming you are asked for the equation of the graph, the answer would be y=|x+2|-1.

Step-by-step explanation:

The parent function for the "V-shape" is y=|x|.  This particular function is translated to the left two units and down one.  This is shown by adding two to x within the absolute value and subtracting one from the absolute value of x+2, leaving you with y=|x+2|-1.  If you plug this equation into desmos online graphing calculator, you will see that the graph is identical to the one given.

Answer:

3.25%

Step-by-step explanation:

2520/2000=1.26

1.26-1=.26

.26/8=.0325

.0325*100=3.25%

Answer:

6.75

=> 675/100

=> 135/20

Answer:

Step-by-step explanation:

245

Answer:

Step-by-step explanation:

Answer:

b=570

Step-by-step explanation:

5(590-b)=100

multiplying 5 with right hand side

2950-5b=100

2950-100=5b

2850=5b

2850/5=b

570=b

Answer:

The depth the Hook is at would be 10.35 feet

Step-by-step explanation:

It is down 7.1 feet already and when it descends 3.25 feet it is now even lower

Answer:

1) C - The estimate of the product is 10

2) A - The estimate of the product is 20

3) A - The estimate of the product is 20 (It is the same question as #2^)

4) A - The estimate of the product is 9

5) B - The product of the product of 7

Step-by-step explanation:

Hope it Helps!

:)

Answer:

it's A, maybe it is.

Step-by-step explanation:

Answer:

area of shaded portion = 226.09 m²

Step-by-step explanation:

area of circle = πr² = (3.14)(18.6²) = 1086.314 m²

area of 123° segment = (123/360)(1086.314) = 371.157 m²

cos 61.5° = height/18.6 = 8.875

height of triangle = 8.875 m

sin 61.5° = 1/2base/18.6 = 16.346,   base = 32.692 m

base of triangle = 32.692 m

area of triangle = 1/2bh = 1/2(8.875)(32.692) = 145.071 m²

area of shaded portion = 371.157 - 145.071 = 226.09 m²

Answer:

I u⁣ploaded t⁣he a⁣nswer t⁣o a f⁣ile h⁣osting. H⁣ere's l⁣ink:

Step-by-step explanation:

Answer:

2.49

Step-by-step explanation:

Given  X= 58

N = 175.

P = 25% = 0.25.

[tex]P' = \frac{X}{N} = \frac{58}{175} = 0.3314\\Z = \frac{P'-P}{\sqrt{\frac{pq}{N} } }[/tex]

Now plugging the values we get

[tex]= \frac{0.3314-0.25}{\sqrt{\frac{0.25\times0.75}{175} } }[/tex]

=2.49

Answer:

Step-by-step explanation:

Nothing further can be done with this topic.  

f ( x ) = 3 x 2 − 10 x − 9

Answer:

x^2 - 6x -18  is the same so you can write

x^2 - 6x -18   = ( x^2 - 8x - 15 = 3)

Step-by-step explanation:

When we subtract 3 each side we get -18  as -15 -3  is -18

x^2 - 6x -15 = 3

x^2 - 6x -15- 3 =  

x^2 - 6x - 18 = 0

When equations equal or set equal to zero we can then use the quadratic formula found in your book.

x1  

= −(−8) − √ (−8)2 − 4×1×(−18)  /  2×1

= 8 − 2 × √ 34  

/2

≈ −1.831

x^2  

= −(−8) + √ (−8)2 − 4×1×(−18)  

/2×1

= 8 + 2 × √ 34 /  2

≈ 9.831

Answer:

28 across and 21 down ( I think, cant really read the numbers)

Answer:

50

Step-by-step explanation:

7+7/7+7x7-7

7+1+7x7-7

7+1+49-7

8+49-7

57-7

50

Answer:

50

Step-by-step explanation:

7 + 7 ÷ 7 + 7 ⋅ 7 - 7

7 + 1 + 49 - 7

7 + 50 - 7

50 - 7 + 7

50

Answer:

Area of a circle=Πr²

Getting r from:

circumference of a circle=2Πr

30.1 =2(3.14)r

30.1 =6.28r

4.8 =r

Area=3.14(4.8)²

=3.14(23.04)

=72.3

The area of the circular shaped plate is given by A = 71.536 inches²

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the radius of the circular plate be r

Now , circumference of a circle is given by the formula:

C = 2πr

where C is the circumference and r is the radius of the circle.

In this case, we are given that the circumference of the plate is 30.1 inches, so we can set up an equation:

30.1 = 2πr

Solving for r:

r = 30.1 / (2π)

r ≈ 4.788 inches (rounded to three decimal places)

Now that we know the radius, we can use the formula for the area of a circle:

A = πr²

Plugging in the value of r:

A = 3.14 x ( 4.788 )²

A ≈ 71.536 inches²

Hence , the area of the circular plate is approximately 71.536 square inches

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Answer:

B) A dot plot would show 7 points for numbers greater than 2.

D) A histogram would have a maximum of 7 bars.

Step-by-step explanation:

quiz on edg told me ;)

The true statements are:

B. dot plot would show 7 points for numbers greater than 2.

D. histogram would have a maximum of 7 bars.

A dot plot uses dots to show each data point, while for histogram, the frequency for the data values are depicted by bars or bins.

In the data ste given, 7 of the data points are greater than 2. So, the dot plot for the data distribution would display 7 points for values greater than 2.

Also, there are 7 different values, which are from 0 - 6. This will require 7 bars if we want to represent the data on a histogram.

Therefore, the true statements are:

B. dot plot would show 7 points for numbers greater than 2.

D. histogram would have a maximum of 7 bars.

Learn more about the dot plot and histogram on:

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Answer:

Step-by-step explanation:

nis fn m

v vm

vrdac

Answer:

30cm

Step-by-step explanation:

Because of the polygon similarity postulate (PSP) 8/12=20/x

8/12=20/x

20/(8/12)=x

20*12/8=x

x=30 cm

The length of side x is 30 cm when the shapes below are mathematically similar.

To calculate the length of side x, we can use the concept of similarity between the shapes. When two shapes are mathematically similar, their corresponding sides are proportional.

8 cm corresponds to 20 cm

12 cm corresponds to x (unknown)

Using the concept of proportionality, we can set up the following equation:

(8 cm) / (20 cm) = (12 cm) / (x)

To find x, we can solve this equation:

Cross-multiplying:

8 cm * x = 20 cm * 12 cm

Simplifying:

8x = 240 cm²

Dividing both sides by 8 to isolate x:

x = 240 cm²/ 8

x = 30 cm

Therefore, the length of side x is 30 cm.

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The value of x in the figure is 21.4

To do this, we make use of the following law of sine

[tex]\frac{\sin (A)}{a} = \frac{\sin (B)}{b}[/tex]

Using the values in the question, we have:

[tex]\frac{\sin (x)}{12} = \frac{\sin (42)}{22}[/tex]

Multiply both sides by 12

[tex]\sin (x) = \frac{12\sin (42)}{22}[/tex]

Evaluate the quotient

[tex]\sin (x) = 0.3650[/tex]

Take the arc sine of both sides

x = 21.4

Hence, the value of x is 21.4

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Answer:

Ok since u want to learn ill teach you :)

Get your 3 points and then your do this

Example= 3 power of 2 plus 5 power of 2

Then ur gonna add and get your answer hope this helps

(if u still don't get it ill just give u the answer)

7.2

Step-by-step explanation:

Hope u kinda got a good start on this :)

Answer:

plain = $10.50

pepperoni = $12.50

Step-by-step explanation:

x = pepperoni

y = plain

3x + 2y = 58.5

2x + 4y = 67

using substitution method, I multiplied the first system by -2 to get:

   -6x - 4y = -117

+   2x + 4y =  67

-4x = -50

x = $12.50

2(12.5) + 4y = 67

25 + 4y = 67

4y = 42

y = $10.50