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2 years ago

Solve for x: 21x - 3| + 1 = 7

Mathematics

1 answer:

Andreas93 [3]2 years ago

4 0

Answer:

x=6

Step-by-step explanation:

distribute 2 to x and 3..you get 2x -6 +1. add 6 and subtract one to cancel it out and bring it to the other side. 2x=12...simplify x=6

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Which situation can be represented as a reflection?

kifflom [539]

Answer:

A chef flips a pancake over in a skillet

Step-by-step explanation:

5 0

2 years ago

Andrew and Sarah are tracking the number of steps they walk. Andrew records that he can walk 6000 steps in 50 minutes. Sarah wri

Leni [432]

Answer:

Andrew walks more steps than Sarah.

Step-by-step explanation:

The question is incomplete. The complete question is :

Andrew and Sarah are tracking the number of steps they walk. Andrew records that he can walk 6000 steps in 50 minutes. Sarah writes the equation y=118x, where y is the number of steps and x is the number of minutes she walks, to describe her step rate. This week, Andrew and Sarah each walk for a total of 5 hours. Who walks more steps?

Solution:

Given:

Andrew walks 6000 steps in 50 minutes.

Number of steps Sarah walks is given by the equation :

$y=118x$

where $y$ is the number of steps and $x$ is the number of minutes she walks.

Finding the number of steps each walks in 5 hours.

Total number of minutes in 5 hours = $5\times 60 = 300\ min$

For Andrew:

Using unitary method:

If in 50 minutes Andrew walks = 6000 steps.

In 1 minute he will walk = $\frac{6000}{50}$ = 120 steps

In 300 minutes he will walk = $120\times 300 = 36000$ steps

Thus, Andrew will walk 36,000 steps in 5 hours.

For Sarah:

We will plugin $x=300$ in the equation and solve for $y$ .

We have:

$y=118(300)$

∴ $y=35400$

Thus, Sarah will walk 35,400 steps in 5 hours.

Therefore, Andrew walks more steps than Sarah as $36,000>35,400$ .

5 0

3 years ago

prove or disprove that if you have an 8-gallon jug of water and two empty jugs with capacities of 5 gallons and 3 gallons, respe

Serjik [45]

Answer:

We can measure 4 gallon by successively.

Step-by-step explanation:

We have been given that you have an 8-gallon jug of water and two empty jugs with capacities of 5 gallons and 3 gallons, respectively. We are asked to prove or disprove that you can measure 4 gallon by successively pouring some of or all of the water in a jug into another jug.

First of all, we will pour 5 gallons of water from 8 gallon jug. Then we will pour 5 gallons of water from 5 gallon jug to 3 gallon jug. That will result in 2 gallons of water in 5 gallon jug.

Now, we will pour 3 gallons of water from 3 gallon jug to 8 gallon jug and pour 2 gallons from 5 gallon jug into 3 gallon jug. That will give us 6 gallons in 8 gallon jug and 2 gallons in 3 gallon jug and empty 5 gallon jug.

In our last step, we will fill 5 gallons jug from 8 gallon jug. After filling 5 gallon jug, we will fill 3 gallons jug from 5 gallon jug. Since 3 gallon jug already contains 2 gallons water, so it can only take one more gallon.

After pouring one gallon from 5 gallon jug, we will get 4 gallons water in 5 gallon jug.

Therefore, we can measure 4 gallon by successively pouring some of the water in a jug into another jug.

4 0

3 years ago

What is the volume of a cone with a height of 9.5 inches and a radius of 8 inches? Cone V = 1 3 Bh 1. Rewrite the formula for th

Nesterboy [21]

Answer:

636.4 in³

Step-by-step explanation:

Volume of a cone is given by:

$V = \frac{1}{3}\pi r^2 h$

where r is the radius of the base of the cone and h is its height.

It is given that, the radius of the base of the cone is, r = 8 in

The height of the cone is, h = 9.5

$\Rightarrow V = \frac{1}{3} \times 3.14 \times (8)^2 (9.5) = 636.4 in^3$

Thus, the volume of the cone is 636.4 in³

6 0

3 years ago

Read 2 more answers

The atlanta braves reached 3 million in attendance this season for the first time since 2000. How many mlb teams have never draw

qwelly [4]

MLB teams have never garnered as many spectators in a single year as they did with 47,188.

<h3>Define professional major league baseball (MLB).</h3>

Major League Baseball (MLB), the world's oldest significant professional sports league, is a baseball-related organization. In MLB, there are 30 clubs in each of the National League and American League, with 29 of them being headquartered in the United States and one in Canada. The National League and the American League were started, respectively, in 1876 and 1901. The two leagues came to an agreement in 1903 called the National Agreement, and they have collaborated ever since. They were nonetheless legally distinct entities until 2000 when they united to create a single entity under the direction of the Baseball Commissioner.

To know more about Major League Baseball (MLB), visit:

brainly.com/question/16270883

#SPJ4

4 0

11 months ago