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Posted in Mathematics

What is 1.892 to the nearest tenth?


We need to look at the number after the tenth, called the 'hundredth'. If the hundredth is 5 or above, we must change the hundredth to 0 and make the tenth one higher.

In this case, the hundredth is 9 and is above 5, so it becomes 0 and the tenth moves higher to become 9.

The number will now be 1.9

Related Questions

Posted in Mathematics

The price of a cup of coffee was $2.65 yesterday. today, the price fell to $2.50 . find the percentage decrease. round your answer to the nearest tenth of a percent.

We must find the difference between prices. $2.65 - $2.50 = $0.15. Now we need to calculate what percent $0.15 is of $2.65. It is 5.7%! The price decreased, so it is a 5.7% decrease!

Posted in Mathematics

Round 24.99 to the nearest tenth

A tenth of 24.99 would be the first 9 after the point. In order to round it to the nearest tenth, we must look at the number after it. If that number is 5 or above, we must make the tenth one higher. In this case, the number after the tenth is above 5, so we change the tenth to a 1! Now the number becomes 25.00

Posted in Mathematics

Solve for x. round to nearest tenth if needed. 1. 7r-7=2r+18 a.r=-5 b.r=5 c.r=2.2 d.r=1.2 2. 2x+12=18-x a.x=3 b.x=10 c.x=6 d.x=2 3. 8x-3=15x+18 a.x=-3 b.x=3 c.x=2.1 d.x=0.9 4. 6y-6=4y+16 a.y=2.2 b.y=-2.2 c.y=11 d.y=5 5. 3(x-4)=5(x+2) a.x=11 b.x=-11 c.x=1 d.x=-1

1)  The answer is: [B]: r = 5 .
__________________________
Explanation:
__________________________ 
Given: 7r − 7 = 2r + 18 ; Round your answer to the nearest tenth, if necessary.
____________________________
Since "r" is the only variable given, let us assume we want to solve for "r" (instead of "x").
___________________________
→ Subtract "2r" from EACH SIDE of the equation; and & add "7" to EACH SIDE of the equation:
_____________
→ 7r − 7 − 2r + 7 = 2r + 18 − 2r + 7 ;  to get: → 5r = 25 ;
_____________
→ Now, divide EACH SIDE of the equation by "5"; to isolate "r" on one side of the equation; and to solve for "r" :
______________
→ 5r / 5 = 25 / 5 → r = 5 → which is: "Answer choice: [B]".
_________________
Let us check our answer, by plugging in "5" for "r" in the original equation:
_________________
 → 7r − 7 = 2r + 18 ;  →  7(5) − 7 =? 2(5) + 18? ;
______________________
→ 35 − 7 =? 10 + 18 ?;     → 28 =? 28? Yes!
______________________
 2) The answer is: [D]: x = 2 .
_____________
Explanation: 
_____________
Given: 2x + 12 = 18 − x ; Solve for "x" (round to nearest tenth, if necessary).
_______________
→ Add "x" to EACH SIDE of the equation, & subtract "12" from EACH SIDE of the equation:  → 2x + 12 + x − 12 = 18 − x + x − 12 ; 
______________
→ To get: 3x = 6 ;  → Divide EACH SIDE of the equation by "3";
to isolate "x" on one side of the equation; and to solve for "x":
_____________
→ 3x / 3 = 6 / 3 ; → x = 2 ; which is: "Answer choice: [D]".
______________
Let us check our answer, by plugging in "2" for "x" in the original equation:
________________
→ 2x + 12 = 18 − x ; → 2(2) + 12 =? 18 − 2 ?
________________
→ 4 + 12 =? 18 − 2 ? ;   → 16 =? 16?  Yes!
________________________________
3)  The answer is: [A]: x = -3 . 
_____________
Explanation:
________________
Given:  8x − 3 = 15x + 18 ; Solve for "x". Round your answer to the nearest tenth, if necessary.
_________________
→ Subtract "8x" from EACH SIDE of the equation, & add "3" to EACH SIDE of the equation:
_______________
→ 8x − 3 − 8x + 3 = 15x + 18 − 8x + 3 ; to get:
_______________
→ 0 = 7x + 21 ; → Subtract "21" from EACH SIDE of the equation;
_______________
→ 0 − 21 = 7x + 21 − 21 ; to get:
_______________
→  -21 = 7x ; Now divide EACH SIDE of the equation by "7";
    to isolate "x" on one side of the equation; & to solve for "x":
_______________
→ = -21 / 7 = 7x / 7 ; →  -3 = x ; which is "Answer choice: [A]."
_________________
Let us check our answer, by plugging in "-3" for "x" in the original equation:
________________
→  8x − 3 = 15x + 18 ;  → 8(-3) − 3 =?  15(-3) + 18 ?;
________________________
→ -24 − 3 =?  -45 + 18 ? ;   →  -27 =? -27?  Yes!
___________________________
4)  The answer is: [C]: y = 11 .
_____________
Explanation:
____________
Given: 6y − 6 = 4y + 16 ; Solve for "y"; Round to the nearest tenth, if necessary.
____________
(Note: Since "y" is the only variable given; assume we are to solve for "y" instead of "x").
____________
→ Subtract "4y" from EACH SIDE of the equation, & add "6" to EACH SIDE of the equation; → 6y − 6 − 4y + 6 = 4y + 16 − 4y + 6 ; to get:
_______________
→ 2y  = 22 ; Now, divide EACH SIDE of the equation by "2"; to isolate "y" one side of the equation; and to solve for "y" ;
_______________
→ 2y / 2 = 22 / 2 ; →  y = 11 → which is "Answer choice: [C]".
_______________________________
Let us check our answer, by plugging in "11" for "y" in the original equation:
___________________
→  6y − 6 = 4y + 16 ; → 6(11) − 6 =? 4(11) + 16 ?
_______________________
→ 66 − 6  =? 44 + 16 ?  → 60 =? 60 ?  Yes!
__________________
5)  The answer is: [B]: x = -11 .
_____________________
Explanation:
_________________
Given: 3(x − 4) = 5(x + 2) ; Solve for "x". Round to the nearest tenth, if necessary.
___________
→Note the "distributive property of multiplication": 
_____________
a*(b + c) = ab + ac ;  and: a*(b − c) = ab − ac ;
_______________
→ Let us expand EACH SIDE of our given equation.
→Start with the "left-hand side":
____________
3(x − 4) = (3*x)  − (3*4) = 3x − 12;
______________________________
→Now let us expand the "right-hand side" of the given equation:
____________
→  5(x + 2) = (5*x) + (5*2) = 5x + 10 ;
______________
→Now, we can rewrite the original equation:
_______________
→ 3(x − 4) = 5(x + 2) ; by substituting the expanded values for EACH SIDE of the question:   →  3x − 12 = 5x + 10 ;
__________________
→ Subtract "3x" from EACH SIDE of the equation; and add "12" to EACH SIDE of the equation: →  3x − 12 − 3x + 12 = 5x + 10 − 3x + 12 ; to get:
________________
→  0 = 2x + 22;  → Now subtract "22" from EACH SIDE of the equation:
______________
→  0 − 22 = 2x + 22 − 22 ; to get:  →  -22 = 2x ;
__________
→ Divide EACH SIDE of the equation by "2"; to isolate "x" on one side of the equation; & to solve for "x" ;
_____________
→  -22 / 2 = 2x /2 ;  →  -11 = x ; which is "Answer choice: [B]".
______________
Let us check our answer, by plugging in "-11" for "x" in the original equation:
___________
→ 3(x − 4) = 5(x + 2) ; →  3(-11 − 4) =? 5(-11 + 2) ? ; 
_______________________
→3(-15) =? 5(-9) ? ; → -45 =? -45 ?  Yes!
_____________________________________________
Hope these answers and explanations are helpful. Best of luck!

Posted in Mathematics

Round 89,891 to the nearest ten-thousands place.

The ten thousands digit is the 8 to the left edge.

You need to increase this digit because the thousands digit is greater than zero.


The answer is 90,000.

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Posted in Mathematics

Round 37.82 to the nearest tenths place.

Given that the number next to the right of the tenth digit is smaller than 5, it does not change.

Answer: 37.8

Posted in Mathematics

What number is in the tenths place? 123.456

The 2 because starting from left to right it is hundreds hundreds, ten's, ones

Posted in Mathematics

What is 7 40/81 rounded to the nearest whole number

If you divide, you get 9.135......
Therefore, you look at the digit after the decimal point that is 1 so it will be 9 since it's less than 5
So the answer is 9

Posted in Mathematics

What are 3 numbers that round to 54.5 when rounded to nearest tenth

54.49, 54.48, 54.47.

If the number after the tenth is 5 or above, that number changes to 0 and disappears, and it makes the tenth one bigger number.

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Posted in Mathematics

Round 0.172 to the nearest hundredth.

You would take the .172 and the hundredth is  so you round down to .17

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Posted in Mathematics

0.29 to the nearest cent

0.30
is your correct answer

Posted in Mathematics

2.3 to the nearest cent

If this is measured in dollars (like, this is $2.3 dollars), then to the nearest cent that would be $2.30. If you're asking how many cents there are, then there are 230 cents.

Posted in Mathematics

23 percent of 432 rounded to the nearest whole number

"23 percent of 432 rounded to the nearest whole number"
Whenever you need the percentage of a number, you can find it by muliplying that number by the percentage converted into decimal form.
So in this example, convert 23% to 0.23.  Now multiply:
432 x 0.23 = 99.36
To round to the nearest whole number, you want to round until you have no digits to the right of the decimal point.  99.36 rounds to 99 because the decimal part (.36) of 99.36 is less than .50 .

Posted in Mathematics

What is 18.6 rounded to the nearest tenth

18.6 rounded to the nearest tenth is 19

Posted in Mathematics

A ladder 6 meters in length leans against a wall. the base of the ladder is 2 meters away from the base of the wall. how far up the wall does the ladder reach to the nearest tenth?

Dear Solana1, we will use the Pythagorean Theorem to solve this problem. First, we identify the length of the ladder as the hypotenuse and the distance the ladder is from the base of the wall as one of the legs. The unknown variable, "how far up the wall" is the other value for the leg. Hence, a^2 + b^2 = c^2.. This gives us 2 squared + x squared = 6 squared. We do the math and we get 4 + x squared = 36. We solve for x, we get the square root of 32, which is approximately 5.7. Best.

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Posted in Mathematics

A satellite rotates 50 miles above earth's atmosphere an astronaut works on the satellite and sees the sun rise over the earth to the nearest mile what is the distance from the astronaut to the horizon ?(hint earths radious is about 4000 miles)

A line from the astronaut and tangent to the Earth's surface will be at right angles to a line from the center of the Earth to its surface at the point of tangency.
So, you have a right triangle with one leg of 4000 miles and a hypotenuse of 4050 miles. Determine the other leg. 

4050^2 = 4000^2 + x^2
16,402,500  = 16,000,000
√402500
=634.43m

Posted in Mathematics

PLEASE HELP 99 POINTS PLUS BRAINIEST ANSWER. 1. Mark estimates that the distance from his house to his school is 15.5 mi. The actual distance is 14.5 mi. To the nearest tenth of a percent, what is the percent error in Mark's estimate? Enter your answer in the box. 2. The price of a wallet is $31.95 and the sales tax is 7.5%. What is the total cost of the wallet? Enter your answer in the box. 3. A sneaker store salesman had $4,125 in total monthly sales last month. He made $165 in commission from those sales. What is the salesman's commission as a percent of his total monthly sales? Enter your answer in the box. 4. The Picture Below.

Answer:

1. Estimated Distance = 15.5 miles

Actual Distance = 14.5 miles

\text{Error percentage = }\frac{Estimated distance - Actual distance}{Actual Distance}\times 100\\\\\text{Error Percentage = }6.9\%

2. Price of the wallet = $31.95

Sales tax = 7.5%

Total Cost = Price of the wallet + Sales tax

Total Cost = 31.95 + 0.075 × 31.95

So, Total cost of the wallet = $34.35

3. Total Monthly sales = $4125

Commission made = $165

\text{Commission as percentage = }\frac{\text{commission made}}{\text{Total sales}}\times 100\\\\\implies \text{Commission as a percentage = }4\%

4. Principal = $12000

Time = 3 years

Rate of interest = 15%

                          = 0.15

Simple Interest = Principal × Rate × Time

Simple Interest = 12000 × 0.15 × 3

Simple Interest = $5400

Posted in Mathematics

PLEASE HELP 99 POINTS PLUS BRAINIEST ANSWER. 1. Mark estimates that the distance from his house to his school is 15.5 mi. The actual distance is 14.5 mi. To the nearest tenth of a percent, what is the percent error in Mark's estimate? Enter your answer in the box. 2. The price of a wallet is $31.95 and the sales tax is 7.5%. What is the total cost of the wallet? Enter your answer in the box. 3. A sneaker store salesman had $4,125 in total monthly sales last month. He made $165 in commission from those sales. What is the salesman's commission as a percent of his total monthly sales? Enter your answer in the box. 4. The Picture Below.

Answer:

(1)The percentage error is 6.897 % .

(2)The total cost of the wallet is $34.35 .

(3)The salesman's commission as a percent of his total monthly sales is 4% .

(4)The interest is $5400 .

Step-by-step explanation:

First part

Formula

Percentage = \frac{Change\ in\ value\times 100}{Exact\ value}

Change in value = |Approx value - Exact value|

As given

Mark estimates that the distance from his house to his school is 15.5 mi. The actual distance is 14.5 mi.

Approx value =  15.5 mi

Exact value = 14.5 mi

Change in value = |15.5 - 14.5|

                           = 1

Put all the values in the formula

Percentage\ error = \frac{1\times 100}{14.5}

Percentage\ error = \frac{100}{14.5}

Percentage error = 6.897 % (Approx)

Thus the percentage error is 6.897 % .

Second part

The price of a wallet is $31.95 and the sales tax is 7.5%.

7.5% is written in the decimal form

= \frac{7.5}{100}

= 0.075

Sales tax price = 0.075 × Price of the wallet

                         = 0.075 × $31.95

                          = $2.4 (Approx)

Total cost of the wallets = Cost of the wallet + Sales tax price

                                        = $31.95 + $2.4

                                        = $34.35

Therefore the total cost of the wallet is $34.35.

Third part

Formula

Percentage = \frac{Part\ value\times 100}{Total\ value}

A sneaker store salesman had $4,125 in total monthly sales last month. He made $165 in commission from those sales.

Part value = $165

Total value = $4125

Put all the values in the formula

Percentage = \frac{165\times 100}{4125}

Percentage = \frac{16500}{4125}

Percentage = 4%

Therefore the salesman's commission as a percent of his total monthly sales is 4% .

Fourth part

Formula

Simple\ interest = \frac{Principle\times Rate\times Time}{100}

Principle = $12000

Rate = 15%

Time = 3 years

Put all the values in the formula

Simple\ interest = \frac{12000\times 15\times 3}{100}

Simple\ interest = \frac{540000}{100}

Simple interest = $5400

Therefore the interest is $5400 .

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Posted in Mathematics

What is 9.252.063 rounded to the nearest hundredth

9.252.063 rounded to the nearest hundredth is 9.252.060

Posted in Mathematics

What is 24.051 rounded to the nearest hundredth? How did you solve it?

This is like late elementary/early middle school stuff where you learn this.
First off, what number is in the position of the hundereth place? 0? No. 1? No. 5 yes! Now how i learned how to round is you take  the number to the right of whatever you are being asked about and round it up or down. Now if the number (in this case it is 1) is lower than 5, you round down (or keep it the same) but if it is 5 or higher you round up. since 1 is lower then 5, that 5 in the hundereths place stays the same. 

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