Multiply the 2nd equation by -4. What value belongs in the green box?

Answer:

[tex](x+6)(x+10)[/tex]

Step-by-step explanation:

Break the expression into groups, [tex]=(x2+6x)+(10x+60)[/tex]

Factor out x from [tex]x2+6x: x(x+6)[/tex]

Factor out 10 from [tex]10x+60: 10(x+6)[/tex]

[tex]=x(x+6)+10(x+6)[/tex]

Answer:

The answer is 29.4%

Step-by-step explanation:

The given is to be rounded to the nearest tenth percent so

5/17 = 0.294

0.294 * 100 = 29.4% since nearest tenth percent

The required answer is 29.4%

Given fraction is 5/17.

Percentage is a way of expressing a fraction or proportion as a portion of 100. It is a mathematical concept used to represent relative quantities or values in terms of hundredths. The word "percent" is derived from the Latin words "per centum," which mean "per hundred." It is denoted by the symbol "%".

To convert a fraction to a percentage, and multiply the fraction by 100.

Let a and b be the rel numbers. To convert the fraction a/b into percentage by multiply the fraction by 100.

That is , a/b x 100.

And on simplification gives the fractions.

To convert 5/17 to a percentage, we have:

(5/17) x 100 = 29.4117647...

Rounding this to the nearest tenth of a percent, we get:

29.4%

Therefore, when rounded to the nearest tenth of a percent, 5/17 is approximately 29.4%.

Learn more about converting fractions to percentages, click here:

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Answer:

7/12

Step-by-step explanation:

So, the probability of picking up a blonde wig = 1/2

The probabiliy of picking up a brunette wig = 1/12

The question asks to find th eprobability of picking up either of these types of wigs =

1/2 + 1/12

= 6/12 + 1/12 ( LCM of 12 and 1 is 12 )

= 7/12

Hope this helps

Answer:

23.94 ounces

Step-by-step explanation:

To determine the ounces poured. Convert, 708 ml to ounces

1 ml = 0.033814 ounces

0.033814 ounces x 708 = 23.94 ounces

Answer:

just remove the parentheses and add the numbers

Step-by-step explanation:

Answer:

[tex]\sqrt{1000\times 1000}[/tex]

[tex]=\sqrt{1000^2}[/tex]

[tex]=1000[/tex]

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Answer:

For denominator the number of digits after the decimal are counted to find the multiple of 10s.

The numerator is the decimal number digits with the decimal removed.

Step-by-step explanation:

The given number of the decimal is used as the numerator and the denominator of the decimal always has to be 10 or a multiple of 10 depending on the position of the decimal point.

For example if we have a number 4.3

The numerator will be 43( the decimal is removed) and the denominator will be 10 because in the original decimal number 4.3 the decimal was before only 1 number that is 3.

Now take the example of 4.36

The numerator will be 436 ( the decimal is removed) and the denominator will be 100 ( 10 *10 = 100) because in the original decimal number 4.3 the decimal was before 2 number that is 3 and 6.

so the fraction will be 436/100

Now if we divide 436 by 100 we will get the same answer as the original number

100√436         4.36

        400

          360

          300

            600

          600

          xxx    

The same process is applied to bigger numbers such as 4.365 and so on.

If we have a number 43.6 the numerator will be 436 ( the decimal is removed) and the denominator will be 10 because in the original decimal number 43.6 the decimal was before 1 number that is 6.

so the fraction will be 436/10

If we have a number 436.5  the numerator will be 4365 ( the decimal is removed) and the denominator will be 10 because in the original decimal number 436.5 the decimal was before 1 number that is 5.

so the fraction will be 4365/10

For denominator the number of digits after the decimal are counted to find the multiple of 10s.

The numerator is the decimal number digits with the decimal removed.

Answer:

i think it is 90

Step-by-step explanation:

remember the line is srait

Answer:

AD = 8

DC = 15

m∠A = 112°

m∠B = 68°

m∠C = °

Step-by-step explanation:

If we're working with parallelograms, we can assume that each line and it's opposite are perfectly parallel.

To find AD, all you need to do is look to the opposite line, BC. Since This is a parallelogram, AD = BC, so AD is 8.

To find DC, you do the exact same. Find the opposite line that it is parallel to, in this case that's AB, and since AB = DC, you know that DC = 15.

To find m∠A, let's look at m∠D. Since m∠D = is 68°, We can use that knowledge to find m∠A. Since the two angles are right beside each other on the same line, together they would equal 180° if you added them up. But since you don't know what m∠A is, you just have to subtract 68 from 180.

180 - 68 = 112.

To find m∠B, We simply look back to m∠D. Since m∠B is directly opposite to m∠D, That means they have the same value, 68°.

And finally, to find m∠C, we do the same thing we did to find m∠B. m∠C is directly across from m∠A - we have already found m∠A, and we know that it is 112°. Therefore, m∠C is 112° as well.

Answer:

B

Step-by-step explanation:

Answer:

| B | = - 9

Step-by-step explanation:

The determinant of a 2 by 2 matrix B = [tex]\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right][/tex] is

| B | = ad - bc

Then for

B = [tex]\left[\begin{array}{ccc}0&1\\9&8\\\end{array}\right][/tex]

| B | = (0 × 8 ) - (1 × 9 ) = 0 - 9 = - 9

Answer:

Yes

Step-by-step explanation:

10x + 2y > 3

Substitute the point into the inequality

10(4)+2(3) > 3

40+6>3

46>3

This is a true statement so the point is a solution

Answer: (4 , 5.5)

Step-by-step explanation: it is 1:3 on the line AB

Answer:

a even chance of getting one as even as not

Step-by-step explanation:

hope it helps

Answer:

The right solution is "$ 60,887.28". A further explanation is provided below.

Step-by-step explanation:

The given values are:

Sticker price,

= $63,000

Dealer cost,

= $56,904

Offer,

= 7%

Now,

The 7% dealer cost will be:

= [tex]\frac{7}{100}\times 56,904[/tex]

= [tex]3,983.28[/tex] ($)

hence,

Amount offered will be:

= [tex]56,904+3,983.28[/tex]

= [tex]60,887.28[/tex] ($)

Answer:

[tex]48\pi[/tex]

Step-by-step explanation:

[tex]V=\frac{1}{3}\pi r^2h[/tex]

r  is the radius of the base, h is the height.

[tex]V=\frac{1}{3}\pi (4)^2\cdot 9=48\pi[/tex]

Answer:

The volume is 48pi (in)^3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

Compared to the 1st 100 customers, we know that 8 of the 100 people got small cold drinks. This means the probablility someone would order a small cold drink is 8/100 which is 8 percent.

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Answer:

32%

Step-by-step explanation:

Answer:

1/4x+32=x+11   x=28

Answer:

x=28

Step-by-step explanation:

Write as decimal

    0.25x+32=x+11

Subtract 0.25x from both sides

    32=0.75x+11

Subtract 11 from both sides

    21=0.75x

Divide both sides by 0.75

    x=28

Left with what x equals

Respuesta:

1/16

Explicación paso a paso:

Dada la secuencia geométrica: 32, 16, 8, 4 ................,

El enésimo término de una progresión geométrica se obtiene mediante la relación:

enésimo término = ar ^ (n-1)

Dónde ; a = primer término = 32; n = enésimo término; r = razón común

r = a2 / a1 = a3 / a2

r = 16/32 = 8/16

r = 1/2

Por lo tanto, el décimo término:

n (10) = 32 * (1/2) ^ (10 - 1)

n (10) = 32 * (1/2) ^ 9

n (10) = 32 * (1/512)

n (10) = 32/512

n (10) = 1/16

Por lo tanto, el décimo término es 1/16

Answer: 1/3

Step-by-step explanation:

Number of red marbles = 5

Number of blue marbles = 9

Number of yellow marbles = 8

Number of and black marbles = 6

Total number of marbles = 28

If Taylor pulled out a yellow one and didn't replce it, there'll be 27 marbles left since one has been removed, then the probability of picking blue marbles will be:

= Number of blue marbles / Total marbles

= 9 / 27

= 1/3

The probability of picking a blue marble is 1/3.

Answer:

18.7

Step-by-step explanation:

just add them