How many solutions does the following linear equation have?
3(x – 5) = 1 (62 - 12)
O no solution
O one solution
O infinitely many solutions

Answer:

x = 7, x = 5

Step-by-step explanation:

[tex]\frac{3x+3}{8}[/tex] = 2x - 11 ( multiply both sides by 8 to clear the fraction )

3x + 3 = 16x - 88 ( subtract 3x from both sides )

3 = 13x - 88 ( add 88 to both sides )

91 = 13x ( divide both sides by 13 )

7 = x

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[tex]\frac{4x-6}{7}[/tex] = 2 ( multiply both sides by 7 )

4x - 6 = 14 ( add 6 to both sides )

4x = 20 ( divide both sides by 4 )

x = 5

3x + 3 / 8 = 2x - 11

Multiply both sides by 8

8 × ( 3x + 3 / 8 ) = 8 × ( 2x - 11 )

3x + 3 = 16x - 88

Add both sides 88

3x + 3 + 88 = 16x - 88 + 88

3x + 91 = 16x

Subtract both sides 3x

3x - 3x + 91 = 16x - 3x

91 = 13x

Divide both sides by 13

91 ÷ 13 = 13x ÷ 13

7 = x

x = 7

_________________________________

4x - 6 / 7 = 2

Multiply both sides by 7

( 4x - 6 / 7 ) × 7 = 2 × 7

4x - 6 = 14

Add both sides 6

4x - 6 + 6 = 14 + 6

4x = 20

Divide both sides by 4

4x ÷ 4 = 20 ÷ 4

x = 5

Answer:

6 bghyjy UC Houston post Getty photo Getty hide and the new Yorker

Answer: Isaiah is correct because you can never be sure whether it’s gonna be a queen but you can be sure that the card could be red

Step-by-step explanation:

Answer:

60 to 90 feet tall

Step-by-step explanation:

i just looked it up

Answer:

Both cultures will have the same population after 11 hours.

Step-by-step explanation:

Exponential equation for population growth:

The exponential equation for population growth is given by:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(0) is the initial population and r is the growth rate, as a decimal.

A culture of 100 bacteria grows at a continuous rate of 20%.

This means that [tex]P(0) = 100, r = 0.2[/tex]. So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P_{1}(t) = 100(1+0.2)^t[/tex]

[tex]P_{1}(t) = 100(1.2)^t[/tex]

The other culture starts to hours later, and we want to take that time as a parameter. So

[tex]P_{1}(2) = 100(1.2)^2 = 144[/tex]

Which means that when culture 2 growth starts, the population size of culture 1 is described by the following equation:

[tex]P_{1}(t) = 144(1.2)^t[/tex]

Two hours later 60 of the same type of bacteria are placed in a culture that allows a 30% growth rate.

This means that [tex]P(0) = 60, r = 0.3[/tex]. So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P_{2}(t) = 60(1+0.3)^t[/tex]

[tex]P_{2}(t) = 60(1.3)^t[/tex]

After how many hours do both cultures have the same population?

This is t for which:

[tex]P_{1}(t) = P_{2}(t)[/tex]

So

[tex]144(1.2)^t = 60(1.3)^t[/tex]

[tex]\frac{(1.3)^t}{(1.2)^t} = \frac{144}{60}[/tex]

[tex](\frac{1.3}{1.2})^t = \frac{144}{60}[/tex]

[tex]\log{(\frac{1.3}{1.2})^t} = \log{\frac{144}{60}}[/tex]

[tex]t\log{\frac{1.3}{1.2}} = \log{\frac{144}{60}}[/tex]

[tex]t = \frac{\log{\frac{144}{60}}}{\log{\frac{1.3}{1.2}}}[/tex]

[tex]t = 11[/tex]

Both cultures will have the same population after 11 hours.

Answer:

Her final average now is 68.

Step-by-step explanation:

In order to find the grade average, you have to multiply each item for its percentage and add the results. Since the statement indicates that the final is 20% of the grade and she forgot to do it, that means that she got 0 for that 20%. Also, we can say that the average she has of 85 represents 80% of her grade and you have to multiply the average for the percentage:

85*0.8= 68

According to this, the answer is that her final average now is 68.

Answer:

1331 ft³

Step-by-step explanation:

The volume of a cube = (edge length)³

From the above question,

Edge length = 11 ft

The volume of the cube = (11 ft)³

= (11 ft × 11 ft × 11 ft)

= 1331 ft³

The volume of the cube = 1331 ft³

Answer:

400,000

Step-by-step explanation:

Ok so, su ecusión es 0.05p = 20,000 p = 400,000

lo siento si esto está mal no soy genial con el español.

Step-by-step explanation:

(sin90)/20= sin67)/x

x= 18

126=12%+44%+16%=72%

175/100=1.75

1.75*72=126

so there was 175 people in the server

Answer: It’s UNBIASED!

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-6(x-8)=60

x-8=60/-6

x-8=-10

x=-10+8

x=-2

Answer:the photo is to bleary

Step-by-step explanation:

Answer:

8.375

Step-by-step explanation:

5.75,6, 6.5, 6.75, 7, 7.5, 8, 8, 8.25, 8.25, 8.5, 8.75, 9, 9.25, 9.25, 9.5, 10, 10.25, 11, 13.75

8.25 + 8.5 = 16.75

16.75/2 = 8.375

Answer:A.

Step-by-step explanation:

add the numbers together

23.8 + 12.1 + -17.6+ 31.3 = 49.6

then divide by number of numbers(4)

49.6/4=12.4

Answer:

74.5

Step-by-step explanation:

Answer:

4 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The additive inverse is the value that must be added to the number to give zero.

- 4 [tex]\frac{1}{4}[/tex] + 4 [tex]\frac{1}{4}[/tex] = 0

           ↑ additive inverse

Answer:

Area ≈ 314.16 square inches

Step-by-step explanation:

Radius of circle (r) = ½(20) = 10 in.

Formula for area of circle, A = πr²

Plug in the value into the formula

Area = π × 10²

Area = π × 100

Area = 314.159265

Area = 314.16 in.² (nearest hundredth)

Answer:

3.15 ft

Step-by-step explanation:      

                                                                                              V

Volume of a cylinder:  πr²h.  Solving for r², we get r² = ---------

                                                                                             πh

Here, we get r² = (117.1 ft³) / (3.14·15 ft) = 2.48 ft² and r = √(2.48 ft²), or

1.58 ft, so that the diameter is 2r, or 3.15 ft

The diameter of the base of the cylinder is 3.15 ft.

Answer:

$1.59

Step-by-step explanation:

monthly finance charge = average daily balance x monthly interest

monthly interest = 14,99% / 12 = 1.249%

1.249% x $127.50 = $1.59

Answer:

1/3

Step-by-step explanation:

Take the second term and divide by the first

9/27 = 1/3

Take the third term and divide by the second

3/9 = 1/3

Check each subsequent ratio, we can see the common ratio is 1/3

Answer:

[tex]sin^{-1}(x) = \frac{55}{73} \\\\cos^{-1}(x) = \frac{48}{73} \\\\tan^{-1}(x) = \frac{48}{55}[/tex]

Step-by-step explanation:

Since you're finding the angle, you use the inverse of sin, cos, and tan.

Answer:

x = 31

Step-by-step explanation:

The two triangles are similar, so [tex]\triangle{NPO} \sim \triangle{YZO}[/tex].

Vertex N matches up with vertex Y.

Vertex P matches up with vertex Z.

Vertex[tex]\frac{NO}{YO}=\frac{1}{4}\\\\\frac{x}{124}=\frac{1}{4}\\\\4x=124\\\\x=31[/tex] O matches up with itself.

Corresponding sides are in proportion.  To find the proportion between the two triangles, you use known sides from each.

[tex]\frac{NP}{YZ}=\frac{23}{92}=\frac{1}{4}[/tex] meaning the small triangle is 1/4 the size of the large one.

To find  x , notice that it is side NO which corresponds to side YO from the large triangle.

Answer:

Quadrant IV

Step-by-step explanation:

On the graph, the x-axis numbers are positive and the y-axis numbers are negative

Answer:

(5y+3) x (y-2)

Step-by-step explanation:

5y^2-7y-6

5y^2+3y-10y-6

y(5y+3(-2(5y+3)

(5y+3) x (y-2)

Answer:

The second, 16^3/2

Step-by-step explanation:

The first is equal to 16

The second is equal to 64

The third is equal to 16

The fourth is equal to 16

The required, greatest volume among the given number is [tex]16^{3/2}[/tex].

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Here,
The given number,
∛64² simplified to 16,
[tex]16^{3/2}[/tex] simplified to 64.
√16² simplified to 16
∛8⁴ simplified to 16

Thus, the required, greatest volume among the given number is [tex]16^{3/2}[/tex].

Learn more about simplification here:

https://brainly.com/question/12501526

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