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2 years ago

If Lucas runs 5 miles in 38 minutes, what is his unit rate per minute?

Mathematics

2 answers:

Zina [86]2 years ago

5 0

Answer:

1 mile every 7.6 min

Step-by-step explanation:

jarptica [38.1K]2 years ago

4 0

Answer:

7.6 minutes per mile

Step-by-step explanation:

38 divided by 5 equals to 7.6

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Sally and Karl work at different jobs. Sally earns $7 per hour and Karl earns $5 per hour. They each earn the same amount per we

Lisa [10]

Answer:

Karl works 7 hours a week

Step-by-step explanation:

Step 1: Determine total amount that Sally earns

Total amount Sally earns=rate per hour×number of hours worked(h)

where;

Rate per hour=$7 per hour

Number of hours worked=h

Replacing;

Total amount Sally earns=(7×h)=7 h

Step 2: Determine total amount Karl earns

Total amount Karl earns=rate per hour×number of hours worked

where;

rate per hour=$5

number of hours worked=2 more than Sally=h+2

replacing;

Total amount Karl earns=5(h+2)

Step 3: Equate Sally's total earnings to Karl's total earnings and solve for h

7 h=5(h+2)

7 h=5 h+10

7 h-5 h=10

2 h=10

h=10/2

h=5

Karl works (h+2) hours=(5+2)= 7 hours

Karl works 7 hours a week

7 0

3 years ago

The pool at "Splash Around" is open for 14 weeks during the summer. You can swim for $6 a session, or you can buy a membership f

shutvik [7]

C) 6x=100+4x
This is because since you need to justify buying a membership, you would try and equal the prices between not having a membership which is 6x and having a membership which is 100+4x

8 0

3 years ago

Read 2 more answers

Recatangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2,1), B(3,1),C(3,4), and

Cloud [144]

Answer: 15

Step-by-step explanation:

When you plot the points, it makes a rectangle. The length is 5 units and the height is 3 units. 5 times 3 is 15

7 0

3 years ago

Read 2 more answers

Las llantas de un automóvil pequeño tiene una medida de 14 pulgadas de diámetro.Realiza la gráfica de una de las llantas colocan

LiRa [457]

Answer:

Invitamos cordial a revisar la imagen adjunta abajo para mayor detalle sobre la gráfica de las llantas.

La forma general de la circunferencia de la llanta está representada por $x^{2}+y^{2}-49 = 0$ .

Step-by-step explanation:

A continuación, anexamos una representación de las llantas del automóvil como una circunferencia centrada en el origen y con un diámetro de 14 pulgadas, es decir, un radio de 7 pulgadas.

La ecuación estándar de la circunferencia centrada en un punto dado y con un radio determinado está definida por:

$(x-h)^{2}+(y-k)^{2} =r^{2}$ (1)

Donde:

$h$ , $k$ - Coordenadas del centro de la circunferencia, medidas en pulgadas.

$r$ - Radio de la circunferencia, medido en pulgadas.

Si conocemos que $h = 0\,in$ , $k = 0\,in$ y $r = 7\,in$ , entonces la ecuación estándar que representa a la circunferencia de la llanta es:

$x^{2}+y^{2} = 49$

Ahora, la ecuación general de la circunferencia centrada en el origen satisface la siguiente expresión:

$A\cdot x^{2}+A\cdot y^{2}+B = 0$ (2)

Donde $A$ , $B$ son los coeficientes de forma de la circunferencia.

Entonces, la forma general de la circunferencia de la llanta está representada por la siguiente expresión:

$x^{2}+y^{2}-49 = 0$

6 0

2 years ago

In the rectangular prism above, BF = 20 units, EF = 11 units, and BC = 9 units. If the rectangular prism is divided into two par

Blababa [14]

The right answer for the question that is being asked and shown above is that: "D. a rectangle with a length of 20 units and a width of 11 units." This is the statement that <span>best describes the resulting cross-section of the prism</span>

8 0

3 years ago