09.09.2021

75 times 5.62 With explaination

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Step-by-step answer

16.12.2022, solved by verified expert
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Answer:

421.50

Step-by-step explanation:

To compute 75 times 5.62, we need to multiply 75 and 5.62

 Steps are shown below: 

75 times 5.62 With explaination, №15255843, 09.09.2021 22:21

First we need to multiply the unit place digit that is 5 with 5.62 which gives 2810. 

Next, multiply 10th place digit that is 7 with 5.62 which give 3934. 

Now add both 2810 and 3934 as shown in the picture above. 

This gives the addition as 42150.

To put the decimal, just count the number of decimal places in the input number. 

In 5.62 the decimal is after 2 number. So, in the answer put the decimal after two places. 

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Mathematics
Step-by-step answer
P Answered by PhD

S = {-6.25, -7.813, -9.766, -12.207, -15.259 and -19.703}

Step-by-step explanation:

The first term (a₁) and the common ration (r) of a finite sequence are provided.

a₁ = -6.25

r = 1.25

The nth term of a geometric sequence is:

T_{n}=a_{1}\cdot r^{n-1}

Compute the first six terms as follows:

T_{1}=a_{1}\cdot r^{1-1}=a_{1}=-6.25\\\\T_{2}=a_{1}\cdot r^{2-1}=-6.25\times 1.25=-7.8125\approx -7.813\\\\T_{3}=a_{1}\cdot r^{3-1}=-6.25\times (1.25)^{2}=-9.765625\approx -9.766\\\\T_{4}=a_{1}\cdot r^{4-1}=-6.25\times (1.25)^{3}=-12.20703\approx -12.207\\\\T_{5}=a_{1}\cdot r^{5-1}=-6.25\times (1.25)^{4}=-15.25879\approx -15.259\\\\T_{6}=a_{1}\cdot r^{6-1}=-6.25\times (1.25)^{5}=-19.07349\approx -19.073

Thus, the six terms of a finite sequence are:

S = {-6.25, -7.813, -9.766, -12.207, -15.259 and -19.703}

Mathematics
Step-by-step answer
P Answered by PhD

S = {-6.25, -7.813, -9.766, -12.207, -15.259 and -19.703}

Step-by-step explanation:

The first term (a₁) and the common ration (r) of a finite sequence are provided.

a₁ = -6.25

r = 1.25

The nth term of a geometric sequence is:

T_{n}=a_{1}\cdot r^{n-1}

Compute the first six terms as follows:

T_{1}=a_{1}\cdot r^{1-1}=a_{1}=-6.25\\\\T_{2}=a_{1}\cdot r^{2-1}=-6.25\times 1.25=-7.8125\approx -7.813\\\\T_{3}=a_{1}\cdot r^{3-1}=-6.25\times (1.25)^{2}=-9.765625\approx -9.766\\\\T_{4}=a_{1}\cdot r^{4-1}=-6.25\times (1.25)^{3}=-12.20703\approx -12.207\\\\T_{5}=a_{1}\cdot r^{5-1}=-6.25\times (1.25)^{4}=-15.25879\approx -15.259\\\\T_{6}=a_{1}\cdot r^{6-1}=-6.25\times (1.25)^{5}=-19.07349\approx -19.073

Thus, the six terms of a finite sequence are:

S = {-6.25, -7.813, -9.766, -12.207, -15.259 and -19.703}

Mathematics
Step-by-step answer
P Answered by PhD
x = 375 square feet and y = 6,300 pounds.

Explanation:

The table is:

AIRPLANE LIFTING FORCE

Area of Wings   Lifting Force

(square feet)        (pounds)

    125                    1,875

    150                   2,250

    175                   2,625

    250                  3,750

       x                    5,625

    420                      y

The ratio of lifting force to the area is equivalent for all pairs in the table. What are the values of x and y?

1. Calculate x:

Ratio of lifting force to the area for the first pair (row):

125/1,875

Ratio of lifting force to area for the pair with x:

x/5,625

Set the proportion:

Equal the two ratios

x/5,625 = 125/1,875

Multiply both sides by 5,625 (multiplication property of equalities):

x = 5,625 × 125/1,875x = 375 ← answer

2. Calculate y:

You can use the same know ratio for the first pair: 125/1,875

And set the corresponding proportion, with y:

420/y = 125/1,875

Invert both sides:

y/420 = 1,875/125

Multiply both sides by 420

y = 420 × 1,875/125 y = 6,300 ← answer

The answer is x = 375 square feet and y = 6,300 pounds.

Mathematics
Step-by-step answer
P Answered by PhD
x = 375 square feet and y = 6,300 pounds.

Explanation:

The table is:

AIRPLANE LIFTING FORCE

Area of Wings   Lifting Force

(square feet)        (pounds)

    125                    1,875

    150                   2,250

    175                   2,625

    250                  3,750

       x                    5,625

    420                      y

The ratio of lifting force to the area is equivalent for all pairs in the table. What are the values of x and y?

1. Calculate x:

Ratio of lifting force to the area for the first pair (row):

125/1,875

Ratio of lifting force to area for the pair with x:

x/5,625

Set the proportion:

Equal the two ratios

x/5,625 = 125/1,875

Multiply both sides by 5,625 (multiplication property of equalities):

x = 5,625 × 125/1,875x = 375 ← answer

2. Calculate y:

You can use the same know ratio for the first pair: 125/1,875

And set the corresponding proportion, with y:

420/y = 125/1,875

Invert both sides:

y/420 = 1,875/125

Multiply both sides by 420

y = 420 × 1,875/125 y = 6,300 ← answer

The answer is x = 375 square feet and y = 6,300 pounds.

Mathematics
Step-by-step answer
P Answered by Specialist
The answer to number 1 is C. Not sure how to get that, I just got it off line converting it with a website.

The answer to number 2 in B, also got that offline by converting it.

3.) Area of a circle:
Radius-16
16×16×3.14=803.84 rounded to the nearest number is 804.

Since this says ESTIMATED we look for the closest answer to 804.
The answer is C. 805 square meters.
Mathematics
Step-by-step answer
P Answered by Master
The answer to number 1 is C. Not sure how to get that, I just got it off line converting it with a website.

The answer to number 2 in B, also got that offline by converting it.

3.) Area of a circle:
Radius-16
16×16×3.14=803.84 rounded to the nearest number is 804.

Since this says ESTIMATED we look for the closest answer to 804.
The answer is C. 805 square meters.
Mathematics
Step-by-step answer
P Answered by PhD

Gold - $33, Silver - $5, Copper - $0.02

Step-by-step explanation:

Let $x be the price of one gram of gold, $y - price of 1 g of silver and $z - price of 1 g of copper.

1. The first alloy is 75% gold, 5% silver, and 20% copper, so in 100 g there are 75 g of gold, 5 g of silver and 20 g of copper.  If 100 g of the first alloy costs $2500.40, then

75x+5y+20z=2500.40

2. The second alloy is 75% gold, 12.5% silver, and 12.5% copper, so in 100 g there are 75 g of gold, 12.5 g of silver and 12.5 g of copper.  If 100 g of the first alloy costs $2537.75, then

75x+12.5y+12.5z=2537.75

3. The third alloy is 37.5% gold and 62.5% silver, so in 100 g there are 37.5 g of gold and 62.5 g of silver .  If 100 g of the first alloy costs $1550.00, then

37.5x+62.5y=1550.00

Solve the system of three equations:

\left\{\begin{array}{l}75x+5y+20z=2500.40\\75x+12.5y+12.5z=2537.75\\37.5x+62.5y=1550.00\end{array}\right.

Find all determinants

\Delta=\|\left[\begin{array}{ccc}75&5&20\\75&12.5&12.5\\37.5&62.5&0\end{array}\right] \|=28125\\ \\\Delta_x=\|\left[\begin{array}{ccc}2500.40&5&20\\2537.75&12.5&12.5\\1550.00&62.5&0\end{array}\right] \|=928125\\ \\\Delta_y=\|\left[\begin{array}{ccc}75&2500.40&20\\75&2537.75&12.5\\37.5&1550&0\end{array}\right] \|=140625\\ \\\Delta_z=\|\left[\begin{array}{ccc}75&5&2500.40\\75&12.5&2537.75\\37.5&62.5&1550\end{array}\right] \|=562.5\\ \\

So,

x=\dfrac{\Delta_x}{\Delta}=\dfrac{928125}{28125}=33\\ \\\\y=\dfrac{\Delta_y}{\Delta}=\dfrac{140625}{28125}=5\\ \\\\z=\dfrac{\Delta_z}{\Delta}=\dfrac{562.5}{28125}=0.02\\ \\

Mathematics
Step-by-step answer
P Answered by PhD

Gold - $33, Silver - $5, Copper - $0.02

Step-by-step explanation:

Let $x be the price of one gram of gold, $y - price of 1 g of silver and $z - price of 1 g of copper.

1. The first alloy is 75% gold, 5% silver, and 20% copper, so in 100 g there are 75 g of gold, 5 g of silver and 20 g of copper.  If 100 g of the first alloy costs $2500.40, then

75x+5y+20z=2500.40

2. The second alloy is 75% gold, 12.5% silver, and 12.5% copper, so in 100 g there are 75 g of gold, 12.5 g of silver and 12.5 g of copper.  If 100 g of the first alloy costs $2537.75, then

75x+12.5y+12.5z=2537.75

3. The third alloy is 37.5% gold and 62.5% silver, so in 100 g there are 37.5 g of gold and 62.5 g of silver .  If 100 g of the first alloy costs $1550.00, then

37.5x+62.5y=1550.00

Solve the system of three equations:

\left\{\begin{array}{l}75x+5y+20z=2500.40\\75x+12.5y+12.5z=2537.75\\37.5x+62.5y=1550.00\end{array}\right.

Find all determinants

\Delta=\|\left[\begin{array}{ccc}75&5&20\\75&12.5&12.5\\37.5&62.5&0\end{array}\right] \|=28125\\ \\\Delta_x=\|\left[\begin{array}{ccc}2500.40&5&20\\2537.75&12.5&12.5\\1550.00&62.5&0\end{array}\right] \|=928125\\ \\\Delta_y=\|\left[\begin{array}{ccc}75&2500.40&20\\75&2537.75&12.5\\37.5&1550&0\end{array}\right] \|=140625\\ \\\Delta_z=\|\left[\begin{array}{ccc}75&5&2500.40\\75&12.5&2537.75\\37.5&62.5&1550\end{array}\right] \|=562.5\\ \\

So,

x=\dfrac{\Delta_x}{\Delta}=\dfrac{928125}{28125}=33\\ \\\\y=\dfrac{\Delta_y}{\Delta}=\dfrac{140625}{28125}=5\\ \\\\z=\dfrac{\Delta_z}{\Delta}=\dfrac{562.5}{28125}=0.02\\ \\

Mathematics
Step-by-step answer
P Answered by Specialist
Copied the questions I found to be incorrect and corrected them showing you the work to verify.

A map of a bike race has a scale of 2 inches = 50 miles. The distance to the first aid station from the starting lines is about 1.25 inches. How far is it from the starting line to the first aid station in miles? Round to the nearest mile.
25 miles
31 miles☆☆☆☆☆☆☆
62 miles
49 miles

1.25/x=2/50
2x=(1.25)(50)
2x=62.5
2/2x=62.5/2=31.25≈31 miles

Write the ratio as a fraction in simplest form.
24 to 20
1/4
6/5☆☆☆☆☆☆☆
24/20
5/6

24 /20 reduces by 4/4 to become 6/ 5

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