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Paha777 [63]
1 year ago
10

In July the average temperature in one us city was 29c by December the average temperature had fallen by 29c explain why the ave

rage temperature in December was 0c
Mathematics
1 answer:
Dennis_Churaev [7]1 year ago
4 0

Answer:

Final temeprature = 29 - 29 = 0c

Step-by-step explanation:

The key to solving this problem is in the statement "the average temperature had fallen by 29c"

This means that the average temperature had reduced by a value of 29c from the initial value, hence we will subtract 29 from the initial temperature

Initial temperature = temperature in July = 29c

in order to find the final temperature, we will subtract 29c from the initial temperature:

Final temperature (temperature in December) = 29 - 29 = 0c

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Solve the following multiplication and division problems. a. 8 T. 1,398 lb. 14 oz. × 6 b. 349 lb. 6 oz. ÷ 130 c. 6 T. 294 lb. ÷
tester [92]

Answer:  a) 278382 oz

b) 43 oz

c) 64.1 oz

Step-by-step explanation:

a) 8 T. 1,398 lb. 14 oz. × 6

First we need to change it in 'oz'.

As we know that

1\ ton=32000\ oz\\\\1\ lb=16\ oz

so, it becomes,

8\times 32000+1398\times 16+14\ oz\\\\=278382\ oz

8 T. 1,398 lb. 14 oz. × 6 becomes

278382\times 6\\\\=1670292\ oz

b) 349 lb. 6 oz. ÷ 130

It becomes,

349\times 16+6\ oz\\\\=5590\ oz\\\\\text{ at last it becomes}\\\\=\frac{5590}{130}\\\\=43\ oz

c) 6 T. 294 lb. ÷ 3,071

First it becomes,

6\times 32000+294\times 16\ oz\\\\=196704\ oz

At last it becomes,

\frac{196704}{3071}\\\\=64.1\ oz

Hence, a) 278382 oz

b) 43 oz

c) 64.1 oz

6 0
2 years ago
Read 2 more answers
An Adult ticket at an amusement park costs $24.95 and a child's ticket costs $15.95. A group of 10 people paid $186.50 to enter
leva [86]

Answer:

There were 3 adults

Step-by-step explanation:

Step 1: Derive the first expression

a+c=10...equation 1

where;

a=number of adults

c=number of children

And total number of people=10

Step 2: Derive the second expression;

Total cost of tickets=(price per child ticket×number of children)+(price per adult ticket×number of adults)

where;

Total cost of tickets=$186.50

price per child ticket=$15.95

price per adult ticket=$24.95

number of children=c

number of adults=a

replacing;

(15.95×c)+(24.95×a)=186.5

24.95 a+15.95 c=186.5....equation 2

Step 3: Combine equation 1 and 2 and solve simultaneously

24.95 a+15.95 c=186.5

-

24.95(a+c=10)

(24.95 a-24.95 a)+(15.95 c-24.95 c)=186.5-(24.95×10)

-9 c=-63

c=-63/-9

c=7

replace the value for c in equation 1

a+c=10

a+7=10

a=10-7

a=3

There were 3 adults

6 0
2 years ago
The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.
Musya8 [376]

Answer:

A cone with base radius of 17 in

Step-by-step explanation:

Given

Triangle ABC

Where

AB = BC = 24in

D = Midpoint of AC

Required

Which best describes the resulting three-dimensional figure?

First, the length of the third side of the triangle has to be calculated

The sides of triangle ABC are AB, AC and BC

Given that the perimeter = 82 in

AB + AC + BC = 82

Recall that AB = BC = 24in; The equation becomes

24 + AC + 24 = 82

Collect like terms

AC = 82 - 24 - 24\\AC = 34

Given that, the triangle is rotated at D, the midpoint of AC

The length of the midpoint has to be calculated

D = \frac{1}{2}AC

D = \frac{1}{2} * 34

D = \frac{34}{2}

D = 17

At this point, we can dismiss options C and D.

This is because; a triangular pyramid is formed by more than 1 triangles (at least 3 triangle) and in this case, we're dealing with only 1 triangle.

So, we have option A and B to select from.

When the triangle is rotated at point D, it generates a cone such that the radius of the cone is the distance at point D.

This implies that, a cone with base radius D is generated.

Recall that D = 17.

Hence, <em>A cone with base radius of 17 in</em>

7 0
2 years ago
Read 2 more answers
Write an absolute value equation to satisfy the given solution set shown on a number line.
aivan3 [116]

Answer: IX - 4I ≤ 4

Step-by-step explanation:

In the numer line we can see that our possible values of x are in the range:

0 ≤ x ≤ 8

And we want to find an absolute value equation such that this set is the set of possible solutions.

An example can be:

IX - 4I ≤ 4

To construct this, we first find the midpoint M of our set, in this case is 4.

Then we write:

Ix - MI  ≤ IMI

Notice that i am using the minor and equal sign, this is because the black dots means that the values x = 0 and x = 8 are included, if the dots were empty dots, it would be an open set and we should use the <  > signs.

8 0
2 years ago
Please help! Tim and Jane both work at a company that sells boxes of breakfast cereal. The boxes of cereal cost £3.00 and the am
patriot [66]

Answer: Jane needs to reduce the price by 20%

Step-by-step explanation: The first thing to note is the original price of the cereal and that is given as £3 for every 160 grams.

The change proposed by Tim is as follows;

Put 25% more cereal in the box (and do not change the price). That means 160 g plus 25%. Mathematically, this can be expressed as;

New weight = 160 + (160 * 25%)

New weight = 160 + (160 * 0.25)

New weight = 160 + 40

New weight = 200

Hence, Tim's idea would result in a cereal box with 200 grams that still cost £3. At this rate, each gram would cost

1 gram = Price / Total grams

1 gram = 3/200

1 gram = 0.015

However, Jane has proposed that the amount of cereal in the box should not be changed, which means the box of cereals should remain 160 grams. The price should be reduced to give the same value as Tim's idea. This means 160 g of cereals should now sell for £0.015 per gram. That would bring the price of 160 g to,

1 gram = 0.015

160 grams = 0.015 * 160

160 grams = 2.4

With Jane's proposal, a 160 g box of cereal should now be sold at £2.4 each. That is a reduction of £0.6

Therefore, the percentage reduction can be calculated as follows;

% decrease = (0.6/3) * 100

% decrease = (1/5) * 100

% decrease = 20

From the results above, Jane should reduce the price (£3 per 160 g) by 20%.

7 0
2 years ago
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