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1 year ago

The temperature was -20 degrees in Alaska and 85 degrees in Hawaii. What is the difference

Mathematics

1 answer:

Anettt [7]1 year ago

7 0

Answer:

The difference in temperature is 105 degrees.

Step-by-step explanation:

The difference in temperature is 105 degrees because it's -20 in Alaska and 85 in Hawaii. When calculating the difference in temperature, negative numbers are still added to the sum total. so 85 + 20 = 105.

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What is the value of the geometric sequence for which a1=10 and r=0.5?

tiny-mole [99]

The formula for an infinite geometric sequence is the following:

$S_{∞}= \frac{a_{1}}{1-r}$

Just substitute the values of $a_{1}$ and r into the formula.

$S_{∞}=\frac{10}{1-0.5}$
$S_{∞}=\frac{10}{0.5}$
$S_{∞}= 20$

Therefore, the answer is 20.

3 0

2 years ago

3x-7y=14

Mademuasel [1]

Answer:

A. $\frac{3}{7}$

Step-by-step explanation:

The given equation is

$3x-7y=14$

We solve for y by subtracting 3x from both sides to obtain;

$-7y=14-3x$

We now divide through by -7 to get;

$y=\frac{-3}{-7}x+\frac{14}{-7}$

This simplifies to;

$y=\frac{3}{7}x-2$

This equation is now in the form y=mx +c, where $m=\frac{3}{7}$ is the slope.

4 0

2 years ago

In the figure shown, suppose m angle ABC=n and m angle ABD=2(m angle DBC). The angle bisector of angle DBC is BE. What is m angl

Yanka [14]

Answer:

n/6

Step-by-step explanation:

If angle bisector of angle DBC is BE. What is m angle EBC, then <DBE = <EBC

Since <ABC = <ABD+<DBC

n = 2<DBC+<DBC

n = 3<DBC

<DBC = n/3

Since <DBC = 2EBC

n/3 = 2<EBC

n/6 = <EBC

Hence <EBC = n/6

4 0

2 years ago

A carpenter wants to expand a square room. The new room will have one side 4 feet longer and the adjacent side 6 feet longer tha

gogolik [260]

Answer:

Dimensions of original room = 12 x 12 feet.

Explanation:

Let the size of old square room be a x a.

New dimension = ( a+4 ) x ( a + 6 )

We have area of the new room will be 144 square feet greater than the area of the original room.

So, ( a+4 ) x ( a + 6 ) = a x a + 144

a²+10a+24= a²+144

10a = 120

a = 12 feet.

Dimensions of original room = 12 x 12 feet.

8 0

2 years ago

Iris weighed 5 large watermelons from her garden. Here are the weights in pounds. 17,11,21,24,22 what is the mean weight

Rufina [12.5K]

Answer:

Mean weight = 19 pounds

Step-by-step explanation:

From the question given above, the following data were obtained:

17, 11, 21, 24, 22

Number of data (n) = 5

Mean weight =?

The mean of a set of data is the value obtained by adding all the data together and dividing the result obtained by the total number of data. Thus, the mean can be obtained as follow:

Summation of data = 17+ 11 + 21 + 24 + 22

= 95

Number of data = 5

Mean = Summation of data / Number of data

Mean = 95 / 5

Mean weight = 19 pounds

Therefore, the mean weight of the data is 19 pounds

5 0

2 years ago