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Zinaida
20 days ago
6

Tim has an after-school delivery service that he provides for several small retailers in town. He uses his bicycle and charges $

1.25 for a delivery made within 1 1/2 mi, $1.70 for a delivery of at least 1 1/2 mi but less than 1 3/4 mi, $2.15 for a delivery of at least 1 3/4 mi but less than 2 miles, and so on. If tim raised his rates by 10% what would he be paid to deliver a package 3 1/8 miles
Mathematics
1 answer:
tester [8.8K]20 days ago
6 0

Answer:

$4.84

Explicación paso a paso:

Dado lo siguiente

Por la entrega dentro de 1\frac{1}2 mi, el cargo es = $1.25

Por la entrega dentro de 1\frac{1}2 mi - 1\frac{3}4 mi, el cargo es = $1.70

Por la entrega dentro de 1\frac{3}4 mi - 2 mi, el cargo es = $2.15

y

así sucesivamente.

O sea,

Por la entrega dentro de 2 mi - 2\frac{1}4 mi, el cargo es = $2.60

Por la entrega dentro de 2\frac{1}4 mi - 2\frac{1}2 mi, el cargo es = $3.05

Por la entrega dentro de 2\frac{1}2 mi - 2\frac{3}4 mi, el cargo es = $3.50

Por la entrega dentro de 2\frac{3}4 mi - 3 mi, el cargo es = $3.95

Por la entrega dentro de 3 mi - 3\frac{1}4 mi, el cargo es = $4.40

Así que, cada 0.25 mi o \frac{1}4 mi, el costo incrementa en $0.45.

Se indica un aumento del 10% en las tarifas.

Es decir, por cada incremento de 0.25 mi, se suma 0.45*1.10 = $0.495 a los cargos.

La distancia de 3\frac{1}8 millas está dentro del rango de 3 mi - 3\frac{1}4 mi.

Por lo tanto, los cargos reales tras el incremento del 10% son

\Rightarrow \$4.40 \times \dfrac{110}{100}\\\Rightarrow \$4.40 \times 1.10\\\Rightarrow \bold{\$4.84}

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A lab technician has to fill the tank given below. <br> Find it’s volume .
lawyer [9240]

Answer:

El volumen del cilindro mostrado en la figura es de 628 metros cúbicos

Explicación paso a paso:

La figura proporcionada se refiere a un cilindro

La altura del cilindro = h = 8 metros

El radio de la base del cilindro = r = 5 metros

Ahora, definamos el volumen del cilindro = V m³

Por lo tanto, el volumen del cilindro está dado por V = \pi×r²×h

donde r es el radio de la base

y h es la altura del cilindro

El valor de \pi = 3.14

Así que, V = \pi × r² × h

O, V = 3.14 × (5)² × 8

O, V = 3.14 × 25 × 8

o, V = 628 m³

Así que, el volumen del cilindro es V = 628 m³

Por lo tanto, el volumen del cilindro mostrado en la figura es de 628 metros cúbicos

6 0
25 days ago
What is the solution to the system of equations? y = A system of equations. Y equals StartFraction one-third EndFraction minus 1
lawyer [9240]

Response:

(6,-8).

Detailed explanation:

We have a set of equations provided. Our task is to find the solution for this system.

y=\frac{1}{3}x-10...(1)

2x+y=4...(2)

Starting from equation (2), we will derive:

y=4-2x...(2)

Next, by inserting this value into equation (1), we will achieve:

4-2x=\frac{1}{3}x-10

After multiplying both sides by 3, we will arrive at:

3\cdot 4-3\cdot 2x=3\cdot \frac{1}{3}x-3\cdot 10

12-6x=x-30

12-6x-x=x-x-30

12-7x=-30

12-12-7x=-30-12

-7x=-42

\frac{-7x}{-7}=\frac{-42}{-7}

x=6

Now substituting this back into equation (2), we will find:

y=4-2(6)

y=4-12

y=-8

Thus, the solution to our specified set of equations is (6,-8).

4 0
3 days ago
Read 2 more answers
The graph below shows the solution to which system of inequalities?
Zina [9171]
The solution is C. Let’s start by identifying the equations without inequalities. Since there's a dotted line at y = 1, options A and B can be disregarded. Dotted lines indicate exclusivity, so they do not encompass the = sign. Therefore, the answer must be C.
7 0
7 days ago
Given that Ray E B bisects ∠CEA, which statements must be true? Select three options. m∠CEA = 90° m∠CEF = m∠CEA + m∠BEF m∠CEB =
tester [8842]

Answer:

Attached is the question in consideration.

m\angle CEA =90 \ (deg)

m\angle BEF=135\ (deg)

\angle CEF forms a straight line.

\angle AEF depicts a right triangle.

The options 1,4,5,6 represent the correct answers.

Step-by-step explanation:

⇒ Given that \ ray\ AE  is ⊥FEC it constitutes a right triangle, leading to m\angle CEA =90\ (deg).

⇒ The measure for \angle BEF =135\ (deg) equals \angle BEF =\angle AEB +\angle AEF = (45+90)=135\ (deg) as \angle AEB bisects \angle AEC, implying that \angle AEB is half of \angle AEC, thus  \angle AEB = 45\ (deg).

⇒\angle CEF represents a straight line, as the angle measures across it yield 180\ (deg).

⇒ The angle measure for \angle AEF = 90\ (deg) is derived from the linear pair concept.

Since \angle CEA + \angle AEF = 180\ (deg), inserting the values of  m\angle CEA =90\ (deg) leads to \angle AEF = 90\ (deg).

The other two options are incorrect as:

  • m\angle CEF=m\angle CEA + m\angle BEF = (90+135)=225

       it surpasses 180\ (deg) while \angle CEF is a               

      straight line.

  • Also, m\angle CEB=2(m\angle CEA) is inaccurate.

     As \angle CEA = 90\ (deg) and \angle CEB=45\ (deg)

Thus, we have a total 4 valid answers.

The confirmed options are 1,4,5,6.

5 0
6 days ago
Read 2 more answers
Malik randomly picked two numbers from 1 to 9 (Includin 1 and 9). the same number could be picked more than once. The first of t
tester [8842]

Response:

2/9 = 0.22

Clarification:

There are two ways to select the first number that is odd and less than 5: 1 and 3.

For each of these, the second number drawn can be any of the values from 1 to 9, giving us a total of 18 options.

Out of these, the only pairs that result in a sum less than 5 are (1,1), (1,2), (1,3), and (3,1). Thus we have 4 combinations from the total of 18:

4/18 = 2/9 = 0.22

8 0
9 days ago
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