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jonny [76]
3 years ago
6

Round each decimal to the place value stated and enter the value in the box a Round 3.892 to the nearest tenth. b. Round 5.424 t

o the nearest hundredth. c. Round 124.62 to the nearest whole number.​
Mathematics
2 answers:
kipiarov [429]3 years ago
8 0

Answer:

A. 3.9

B. 5.42

C. 125

Step-by-step explanation:

Sedaia [141]3 years ago
5 0

Answer:

A) \huge\boxed{3.9}

B) \huge\boxed{5.42}

C) \huge\boxed{125}

Step-by-step explanation:

A) 3.892

To round off to nearest tenth, we'll see the digit in hundredths place. If it is greater than 5 or equal to 5, 1 will be added to the tenths place. If it's not, it will remain the same.

<u>So, it will be like:</u>

=> 3.9

B) 5.424

To round off to nearest hundredth, we'll see the digit in thousandths place. If it is greater than 5 or equal to 5, 1 will be added to the hundredths place. If it's not, it will remain the same.

<u>So, it will be like:</u>

=> 5.42

C) 124.62

To round off to nearest whole number, we'll see the digit in tenths place. If it is greater than 5 or equal to 5, 1 will be added to the ones place. If it's not, it will remain the same.

<u>So, it will be like:</u>

=> 125

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Mandarinka [93]

Let x=large boxes and y=small boxes.

x+y=110

60x+35y=5100

____________

You need to cancel out one of the variables to solve for one. Let's cancel out y.

-35(x+y=110)


-35x-35y=-3850

60x+35y=5100

____________

Add the two equations.

25x=1250

x=50

_____________

Plug in 50 for x into one of the equations to solve for y.

50+y=110

y=60

_____________

50 large boxes

60 small boxes

5 0
4 years ago
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What is the result when 4x4 + 6x3 – 19x2 – 8x – 10 is divided by x + 3? If
-Dominant- [34]

Answer:

Step-by-step explanation:

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3 years ago
The area of a rectangle is at least 115 square centimeters. The width of the rectangle is 5 centimeters and the length of the re
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The census is 60 because it’s obviously when you divided
3 0
3 years ago
Find the non-extraneous solutions of the square root of the quantity x plus 6 minus 5 equals quantity x plus 1.
denis23 [38]
(x+6)^(1/2)-5=x+1
(x+6)^(1/2)=x+6
((x+6)^(1/2))^2=(x+6)^2
x+6=x^2+12x+36
0=x^2+11x+30
(-11+(11^2-4(1)(30))^(1/2))/2
(-11+((1)^(1/2))/2
(-11+1)/2=-5
(-11-1)/2=-6
((-6)+6)^1/2-5=(-6)+1
(0^(1/2))-5=-5
-6 is non-extraneous
((-5)+6)^1/2-5=(-5)+1
(1^1/2)-5=-4
1-5=-4
-4=-4
-5 is non-extraneous

3 0
3 years ago
To solve the equation 5sin(2x)=3cosx, you should rewrite it as___.​
galina1969 [7]

Answer:

A

Step-by-step explanation:

We want to solve the equation:

5\sin(2x)=3\cos(x)

To do so, we can rewrite the equation.

Recall the double-angle for sine:

\sin(2x)=2\sin(x)\cos(x)

By substitution:

5\left(2\sin(x)\cos(x)\right)=3\cos(x)

Distribute:

10\sin(x)\cos(x)=3\cos(x)

We can subtract 3cos(x) from both sides:

10\sin(x)\cos(x)-3\cos(x)=0

And factor:

\cos(x)\left(10\sin(x)-3\right)=0

Hence, our answer is A.

*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.

5 0
3 years ago
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