MATHEMATICS MIDDLE SCHOOL

Solve the inequality.
x+7≤11

Answers

Answer 1

Answer:

Answer:

x ≤ 4

Step-by-step explanation:

Subtract 7 on both sides:

x + 7 ≤ 11

-7 -7

x ≤ 4

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Rupert drove home at an average rate of 58 miles per hour. Find his rate in feet per second.

Answers

To find this, you must first multiply 58 by the number of feet in a mile, 5280, to get a total number of feet. This comes out to 306,240 feet per hour. Next, you divide this by 60, since there are 60 minutes per hour, to find the rate of feet per minute, which comes out to 5,104 feet per minute. Finally, you divide this number by 60 again, since there are 60 seconds per minute, to get the final answer of a rate of about 85.0666... feet per second.

One thumbtack weighs 0.25 ounce. How many thumbtacks are in a box that has a mass of 3500 grams? (Hint: 1oz ~28g

Answers

Alright so .25 oz is 1/4 of 1oz. Therefore you take 28 and divide it by 4 and get 7.

Then take 3500 and divide it by 7 which makes 500 thumb tacks.

I think idk though.

Final answer:

To find out how many thumbtacks are in the box, first convert the total mass of the box from grams to ounces using a conversion factor. Then, divide the total weight of the box in ounces by the weight of one thumbtack.

Explanation:

To answer the question about the number of thumbtacks in a box totaling 3500g in mass, we first need to convert the total mass of the box to the same units as the mass per thumbtack, in this case, ounces.

From the relationship, we know that 1 oz = 28.349 g. We can convert the mass of the box into ounces by multiplying the grams by the unit conversion factor. So the weight of the box in ounces is 3500 g * (1 oz / 28.349 g).

To find the number of thumbtacks in the box, then divide the total weight of the box in ounces by the weight of one thumbtack in ounces (0.25 oz).

Learn more about unit conversion here:

brainly.com/question/32030244

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What is the best rate at which infants grow during the first four years after birth

Answers

Three inches per year.

A tree casts a shadow that is about 10 ft long. Javier, who is about 5 ft tall, is standing near the tree. Javier’s shadow is about 4 ft long. What is the estimated height, t, of the tree?A)8 ftB)12.5 ftC)15.5 ftD)18.5 ft

Answers

the tree is 11ft
explanation: javier is 5ft 5-1 =4
11-1=10

The population of Boomtown is 475,000 and is increasing at a rate of 3.75% each year.When will the population exceed 1 million people (to the nearest year)?

Answers

It would take 21 years for the population of Boomtown to reach 1 million people.

An exponential growth is in the form:

y = abˣ;

where y, x are variables, a is the initial value of y and b is > 1

Let y represent the population of Boomtown after x years.

Given that initially there is a population of 475,000, hence a = 475000. Also, it is increasing at a rate of 3.75%, hence b = 100% + 3.75% = 1.0375

Hence:

y = 475000(1.0375)ˣ

For a population of 1000000:

1000000 =475000(1.0375)ˣ

2.1 = (1.0375)ˣ

xln(1.0375) = ln(2.1)

x = 21 years

Hence it would take 21 years for the population of Boomtown to reach 1 million people.

Find out more at: brainly.com/question/19455261

After 20.22 years the population exceed 1 million people, if the population of Boomtown is 475,000 and is increasing at a rate of 3.75% each year.

Step-by-step explanation:

The given is,

Population of Boomtown is 475,000

Increasing at a rate of 3.75% each year

After few years population exceed 1 million people

Step:1

Formula to calculate population with a given rate of increase,

$F =P(1+r)^(t)$ ..............................(1)

Where,

F - Population after t years

P - Population at initial

r - Rate of increase

t - No.of years

From the given values,

F = 1000000

P = 475,000

r = 3.75%

Equation (1) becomes,

$1000000 =475000(1+ 0.0375)^(t)$

$(1000000)/(475000) = (1.0375)^(t)$

$2.1052632=(1.0375)^(t)$

Take log on both sides,

$log 2.1052632 =(t) log 1.0375$

Substitute log values,

$0.3233064= (t) 0.015988$

$t = (0.3233064)/(0.015988)$

= 20.2216

t ≅ 20.222 years

Result:

After 20.22 years the population exceed 1 million people, if the population of Boomtown is 475,000 and is increasing at a rate of 3.75% each year.

What is the ratio 12 to 63 written as a fraction in lowest terms?