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3 years ago

-k+0.03+1.01k=-2.45-1.81k?

Mathematics

1 answer:

Mrrafil [7]3 years ago

4 0

Answer:

-1.362637

or if you round your answer -1.36

Step-by-step explanation:

solve for k by simplifying both sides of the equation and isolating the variable.

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How many ounces of gold are in a 16-karat gold chain that weighs 2.6 ounces?

oksano4ka [1.4K]

A 16 karat gold means that there are 16 parts of gold in 24 parts of the gold chain. Therefore the weight of the pure gold is:

pure gold = (16 / 24) * 2.6 ounces

<span>pure gold = 1.73 ounces</span>

7 0

3 years ago

Help pls !! how would I write this equation

aev [14]

2x = Twice your age

200 = Two hundred less

> -1 = more than negative

With the information given, your equation would be:

200-2x>-1

7 0

3 years ago

Ray has found that his new car gets 31 miles per gallon on the highwayand 26 miles per gallon in the city. He recently drove 285

Mkey [24]

Answer:

$Highway = 155\ miles$

$City = 130\ miles$

Step-by-step explanation:

Given

$Highway = 31mi/gallon$

$City = 26mi/gallon$

$Total\ Miles = 285$

$Total\ Gallons = 10$

Required

Determine the number of miles driven on the highway and on the city

Represent the gallons used on highway with h and on city with c.

So, we have:

$c + h = 10$ ---- gallons used

and

$31h + 26c = 285$ --- distance travelled

In the first equation, make c the subject

$c = 10 - h$

Substitute 10 - h for c in the second equation

$31h + 26c = 285$

$31h + 26(10 - h) = 285$

Open bracket

$31h + 260 - 26h = 285$

Collect like terms

$31h - 26h = 285 - 260$

$5h = 25$

Make h the subject

$h = \frac{25}{5}$

$h = 5$

Substitute 5 for h in $c = 10 - h$

$c = 10 - 5$

$c = 5$

If on the highway, he travels 31 miles per gallon, then his distance on the highway is:

$Highway = 31 * 5$

$Highway = 155\ miles$

If in the highway, he travels 26 miles per gallon, then his distance on the highway is:

$City = 26 * 5$

$City = 130\ miles$

8 0

3 years ago

Which measure of center best represents this set of data? Number of television sets in the home: 4, 4, 2, 4, 4, 1, 3, 4, 2, 4 *

nataly862011 [7]

Answer:

Mean

Step-by-step explanation:

Given

$Data: 4, 4, 2, 4, 4, 1, 3, 4, 2, 4$

Required

Best measure of center

The mean is considered the best measure of center when there are no outliers in the given data.

Outlier is when a particular data set is far away from other datasets.

For instance: 20 is an outlier in the following data sets: $4, 4, 2, 20, 4, 4, 1, 3, 4, 2, 4$

Also, the given data are not open-ended.

An open-ended data is as follows: $1, 2, 3, 4, 5\ or\ more$

Since we do not have any of the above conditions, then the mean is the best center to use.

7 0

3 years ago

If BC = 5 and CD = 26, find AC.

Blababa [14]

Answer:

$AC=\sqrt{130}$

Step-by-step explanation:

AC is the geometric mean. Solve it using this proportion:

$\frac{BC}{AC}=\frac{AC}{CD}$

Now fill in the values we know:

$\frac{5}{AC}=\frac{AC}{26}$

Cross multiply to get

$(AC)^2=130$

That means that

AC = $\sqrt{130}$ , which, in decimal form is

AC = 11.40175425

3 0

3 years ago