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3 years ago

Estimate the product by rounding to the nearest thousand 7 × 3289

Mathematics

1 answer:

Goryan [66]3 years ago

7 0

Well you estimate the equation. 7 x 3289 to 7 x 3000 and you do 7 x 3 but add 3 zeros in the end so you get 21000

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It took Sergio 1.5 hours to read 3 chapters of a book. If he continues reading at a constant rate and the chapters are similar i

ryzh [129]

Answer:

9 hours

Step-by-step explanation:

1 chapter ≈ .5 hour

18 x .5 = 9

8 0

3 years ago

Jed's has $45 for the amusement park. He spent $17 for admission into the park.

77julia77 [94]

If you take the original amount 45 and subtract the admission fee 17 you get what is left over which would be 28 dollars. Good Luck and I hope that this helps!!

6 0

3 years ago

Read 2 more answers

A soft drink manufacturer wishes to know how many soft drinks adults drink each week. They want to construct a 85% confidence in

andreev551 [17]

Answer: 547

Step-by-step explanation: The margin of error formulae is given below as

Margin of error = critical value ×(σ/√n)

Where σ = standard deviation and n is the sample size.

From our question, margin of error = 0.08

Variance is 1.691,

hence σ = √variance = √1.691

= 1.3.

We will be using a z test for our critical value this is because a soft drink manufacturer will always produce drinks more than 30 in numbers.

The critical value for a 85% confidence interval is 1.44.

Hence critical value is 1.44.

By substituting the parameters, we have that

0.08 = 1.44 × 1.3/ √n

0.08 = 1.873/ √n

By cross multiplying

0.08 × √n = 1.873

√n = 1.873/ 0.08

√n = 23.41

n = (23.41)²

n = 547.

7 0

3 years ago

A snail can move 1/30 miles in 1/3 hour. How fast does a snail move in miles /hours

bekas [8.4K]

Answer: 1/10 miles/hour

To find how fast a snail moves in miles per hour, we can find the unit rate using a proportion.

The unit rate is the amount per one unit. In this problem, the unit is for one hour. One way to find the unit rate is by using a proportion.

<h2>Proportions</h2>

Proportions look like two fractions set equal to each other with a missing variable to solve.

<h3>State our variables</h3>

let <em>x</em> be the number of miles per hour

<h3>Write a proportion</h3>

The first fraction has a number for the numerator (top) and denominator (bottom), because the question gives us the information. The second fraction has a missing value, <em>x</em>, that we are solving for. We can write <em>x</em> in the numerator.

$\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{x\ mi}{1\ hr}}$

<h2>Solve</h2>

We can solve by finding the scale factor. The scale factor is the number we can multiply the numerator by to find <em>x</em>.

<h3>Find the scale factor</h3>

Start with the proportion.

$\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{x\ mi}{1\ hr}}$

To find the scale factor,

Take the denominator from the fraction with a variable: $1\ hr$
Take the denominator from the fraction that has no variable: $\frac{1}{3}\ hr$
Divide step 1 by step 2 and solve: $1\ hr\ \div\ \frac{1}{3}\ hr = 3$

Our scale factor is <u>3</u>.

<h3>Solve for x</h3>

We can find <em>x</em> by multiplying the numerator in the first fraction by the scale factor. This is because <em>x</em> is also in the numerator.

$\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{(\frac{1}{30}\ mi)*3}{1\ hr}}$

$\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{\frac{3}{30}\ mi}{1\ hr}}$

Simplify 3/30 by dividing the fraction by 3.

$\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{\frac{1}{10}\ mi}{1\ hr}}$

x = 1/10

∴ a snail moves 1/10 miles per hour.

Learn another way to solve proportions here: brainly.com/question/18437927

7 0

2 years ago

The cafe sells Beetle Juice and Potion Punch. A cup of Beetle Juice costs $2.50 and a cup of Potion Punch costs $3. Owen ordered

nexus9112 [7]

Answer:

2 Beetle juices and 3 Potion Punch

Step-by-step explanation:

j = Beetle Juice cost $2.50

p = Potion Punch Cost $3

j + p = 5 <em>Multiply by -3</em> -3j - 3p = -15

$2.50j + $3p = $14 <em>Do not change </em>+ <em> </em><u><em> </em></u><u>2.50j -3p = 14 </u>

- .50j = -1

j = 2 Beetle Juice

Substitute into the fist equation and solve for y j + p = 5

2 + p = 5

p = 3 Potion Punch

7 0

2 years ago