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3 years ago

Five times the difference of twice a number and three, decreased by the sum of the number and eight, equals 13.

Mathematics

1 answer:

insens350 [35]3 years ago

7 0

Answer:

n= 68/9

Step-by-step explanation:

The problem would be 5 ( 2n - 3 ) - ( n+ 8) = 13

10n - 15 -n - 40 = 13

9n - 55 =13

9n= 13+55

9n= 68

( divide both numbers by nine)

n = 68/9

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How can you undo the addition of 7 on the left side of this equation? 6x + 7 = 19

BaLLatris [955]

6x - 7 = 19
6x = 19 + 7 
6x = 26 (divide both sides by 6 to get x) 
6x/6 = 26/6 
x = 4.33333333333

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3 years ago

Maggie's favorite salad dressing is made with 0.04 liter of vinegar and 0.4 liter of olive oil.She compares the value of the 4 i

Ksenya-84 [330]

Answer:

3:the value of the 4 in 0.04 is the value of the 4 in 0.4 divided by 10.

Step-by-step explanation:

This is because in decimal places, we have what is called place value. In a decimal number after the decimal point, each number place is divided by an increasing power of 10. So, for example, if we have a decimal number 0.82, the place value of the 8 is 8/10 while that of the 2 is 2/10² = 2/100.

So, in the given numbers, 0.04 has a place value of 4/100 and 0.4 has a place value of 4/10. So, we can see that 4/100 = 4/10 ÷ 10 = 4/10 × 1/10.

So, the value of the 4 in 0.04 is the value of the 4 in 0.4 divided by 10.

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2 years ago

Given the vectors u= <2, 1> and v= <5, 4>, determine the components of a vector represented by 2u - 3v

kati45 [8]

Answer:

C.) <-11, -10>

Step-by-step explanation:

Let's define how to work with vectors.

For two vectors:

V = <a, b>

W = <c, d>

The product of a scalar k and a vector is given by:

k*V = k*<a, b> = <k*a, k*b>

And the sum (or difference) of two vectors is given by:

V ± W = <a, b> ± <c, d> = <a ± c, b ± d>

Now that we know this, we can solve the problem.

Here we have the vectors:

u = <2, 1>

v = <5, 4>

then:

2u - 3*v = 2*<2, 1> - 3*<5, 4>

= <2*2, 2*1> - <3*5, 3*4>

= <4, 2> - <15, 12>

= <4 - 15, 2 - 12>

= < -11, -10>

Then the correct option is C.

5 0

2 years ago

Geneva's younger brother has a toy box that is 3.6 feet

Anestetic [448]

Answer:

12.96 ft ³

Step-by-step explanation:

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3 years ago

The post office is now calculating the volume of packages to determine the shipping cost. If a box measure 8 1/2 inches long, 5

sladkih [1.3K]

Answer:
volume of box = 312.375 in²

Explanation:
The volume of a rectangular box can be measured as follows:
volume = length* width * height

From the givens we have:
length = 8.5 in
width = 5.25 in
height = 7 in

Substitute with the givens in the above equation to get the volume as follows:
volume = length * width * height
volume = 8.5 * 5.25 * 7
volume = 312.375 in²

Hope this helps :)

3 0

2 years ago