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tester [92]
2 years ago
6

As a block of ice melts it changes from 1 3/4 lb to 1/4 lb and takes 1/4 hr. What is the rate the ice changes?

Mathematics
1 answer:
Nutka1998 [239]2 years ago
8 0

The rate at which the ice changes is -3/8 lb per hr

<h3>What is the rate the ice changes?</h3>

The given parameters are:

Changes =1 3/4 lb to 1/4 lb

Time = 1/4 hr.

The rate the ice changes is calculated as:

Rate = Change/Time

So, we have

Rate = (1/4 lb - 1 3/4 lb)/(1/4 hr)

Evaluate the difference

Rate = (-1 1/2 lb)/(1/4 hr)

Evaluate the quotient

Rate = -3/8 lb per hr

Hence, the rate at which the ice changes is -3/8 lb per hr

Read more about rates at:

brainly.com/question/19493296

#SPJ1

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The solids are similar. Find the missing dimensions.
DedPeter [7]

Answer:

b = 18 m

c = 19.5 m

h = 9 m

Step-by-step explanation:

Call the smaller solid the original one, and call the larger solid the scaled one.

1. Find the scale factor

scale factor = length in scaled one / corresponding length in original one

scale factor = 7.5/5 = 1.5

The scale factor is 1.5

That means if you multiply any linear dimension of the original one by 1.5, you get the corresponding dimension of the scaled one.

Let's check our scale factor to make sure it's correct.

We see that the 5 m side corresponds to the 7.5 m side.

5 m * 1.5 = 7.5 m

Multiplying an original length by the scale factor of 1.5 gives us the scaled up length, so our scale factor of 1.5 is correct. Now we apply the scale factor of 1.5 to find b, c, and h.

b corresponds to 12 m

b = 12 m * 1.5 = 18 m

c corresponds to 13 m

c = 13 m * 1.5 = 19.5 m

h corresponds to 6 m

h = 6 m * 1.5 = 9 m

Answer:

b = 18 m

c = 19.5 m

h = 9 m

8 0
3 years ago
Los profesores de un colegio tienen planeado mandar 6 boletines informativos al año a cada una de las 620 familias con estudiant
alekssr [168]

Answer:

14.88 resmas

Step-by-step explanation:

Los maestros de una escuela planean enviar 6 boletines al año a cada una de las 620 familias con estudiantes en la escuela.

Esto significa: El número total de boletines que recibe cada familia = 6 × 620 familias

= La escuela envía 3720 boletines cada año

Cada uno de los boletines necesita 2 hojas de papel.

1 boletín = 2 hojas de papel

3720 boletines =

Cruz multiplicar

3720 boletines × 2 hojas

= Se necesitan 7440 hojas de papel en un año

El papel se vende en resmas de 500 hojas.

¿Cuál es la cantidad mínima de resmas de papel necesarias para imprimir los boletines escolares en un año?

500 hojas de papel = 1 resma

7440 hojas de papel = y

Cruz multiplicar

500 × y = 7440 × 1

y = 7440/500

y = 14.88 resmas

La cantidad mínima de resmas de papel necesarias para imprimir los boletines escolares en un año es 1488 resmas

8 0
3 years ago
Find the value of x if GH and JH are both 13 units long. Justify your answer.
const2013 [10]

Answer:

x=7

Step-by-step explanation:

we have the triangle GHJ

If the segment side GH is equal to the segment JH

then

The triangle GHJ is an isosceles triangle

Remember that

An isosceles triangle has two equal interior angles and two equal sides

so

m∠G=m∠J

we have

m∠G=(7x+5)°

m∠J=(x+47)°

equate the equations

(7x+5)°=(x+47)°

Solve for x

7x-x=47-5\\6x=42\\x=7

4 0
3 years ago
7 greater than or equal to ? greater than or equal to 9
motikmotik
9 is greater than 7... 
5 0
3 years ago
Read 2 more answers
Matt and Mark went to El Rodeo to have some dinner. Matt ordered 3 tacos and 2 enchiladas, which cost him $4.93. Mark ordered 2
lord [1]

Answer:

The cost of one taco is $0.87 and the cost of one enchilada is $1.16

Step-by-step explanation:

Let the cost of tacos be X

and cost of enchiladas be y

So, by using given data, we have following equations

3X + 2Y = 4.93             (1)

2X + 4Y = 6.38             (2)

So, first multiply 1st equation by 2 and 2nd equation by 3, then subtracting 1st equation by 2nd.

= 2 × ( 3X + 2Y = 4.93)       (1)

= 3 × (2X + 4Y = 6.38)        (2)

= - (6X + 4Y = 9.86)              (1)

= 6X + 12y = 19.14            (2)

= 8Y = 9.28

Y = 9.28 ÷ 8 = 1.16

By putting the value of Y in equation 1, we get

3X + 2(1.16) = 4.93

3X + 2.32 = 4.93

X = 2.61 ÷ 3 = 0.87

Hence, the cost of one taco is $0.87 and the cost of one enchilada is $1.16.

8 0
3 years ago
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