The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answer:

The answer is 70 moles

Step-by-step explanation:

For the farmer,

Total no of Moles = 330

No of marked moles with tags = 24

No of unmarked moles = 330 - 24 = 306

Few weeks later,

No of tagged moles found = 18

No of tagged moles not found,

= marked moles with tags - tagged moles found

= 24 - 18 = 6

Therefore, if for every 24 tagged moles, there are 6 moles found,

288 tagged moles = 24 X 12 (lots) = 288

For moles found = 6 X 12 (lots) = 72

To the nearest whole number,

The best estimate for the mole population would be 70 moles

Answer:

The answer is "Option C"

Step-by-step explanation:

The using formula[tex]= (1+\frac{r}{n})^n -1[/tex]

→r = rate

→ n = compounded value

In choice a:

When compounded is monthly [tex]4.0784\%[/tex]  

[tex]n = 12[/tex]

[tex]\to (1+ \frac{0.040784}{12})^{12} = 1.0403-1 = 0.0403[/tex]

In choice b:

When compounded is quarterly[tex]4.0792\%[/tex]

[tex]n = 3\\\\\to (1+ \frac{0.040792}{12} )^{3} = 1.0102-1 = .0102[/tex]

In choice c:

Whenn compounded is daily [tex]4.0730 \%[/tex]

[tex]n = 365\\\\\to (1+ \frac{0.040730}{12})^{365} = 3.328-1 = 2.328[/tex]

In choice d:

When compounded is semiannually[tex]4.0798\%[/tex]

[tex]n = 2\\\\\to (1+ \frac{0.040798}{12})^{2} = 1.0066-1 = 0.0066[/tex]

Answer:

1/100

Step-by-step explanation:

This is just digits...

57.237 = 50+7+0.2+3*___+0.007

well if you take a closer look

57.237 = 57.207 + 3*___

0.03 = 3*___

So you must have 0.01 for that spot, or if we follow the format of the question, you rewrite it as 1/100

Answer:

0.01 or 1/100

Answer:

x=

[tex] \frac{3}{4} [/tex]

Answer:

Fraction: x= 3/4 Decimal: x= 0.75

Answer:

x = 1± 3i

Step-by-step explanation:

x^2-2x+10=0

We can complete the square to solve by subtracting 10 from each side

x^2-2x+10-10=-10

x^2 -2x = -10

We need to add (2/2) ^2  to each side or 1

x^2 -2x+1 = -10 +1

x^2 -2x+1 = -9

The left side factors into (x- (2/2) ) ^2

(x-1) ^2 = -9

Take the square root of each side

sqrt((x-1) ^2 =± sqrt(-9)

x-1 = ±sqrt(-1) sqrt(3)

Remember the sqrt(-1) = i

x-1 = ± 3i

Add 1 to each side

x-1+1 = 1± 3i

x = 1± 3i

Answer:

x=1

Step-by-step explanation:

11x+4=3x+12

11x=3x+8

8x=8

x=1

Hope this helps!

-AxekickNebulite

Answer:

Step-by-step explanation:

Answer:

The perpendicular slope is 3.

Explanation:

[tex]\sf slope\:intercept\:form :y = mx + b[/tex]

where:

Given equation:

divide both sides by -6

simplify

when simplified more:

Here the slope is -1/3

- - - - - - - - - - - - - - - - - - - - - - - -

[tex]\sf m_1 \times m_2 = -1[/tex]

where:

Find perpendicular slope:

[tex]\sf -\dfrac{1}{3} \times m_2 = -1[/tex]

[tex]\sf m_2 = 3[/tex]

Answer:

Yes

Step-by-step explanation:

Substitute the x value in the ordered pair for the x in the equation, or 2, and the y-value (6) in for y. So, 2 + 6 = 8, and this is true. Then do 3(2) - 6 = 0, which is also true.

Answer:

x - 7 ÷ 3 or

x - 7

-------- <------ fraction bar/line

3

Step-by-step explanation:

If you are trying to write the the difference between x and 7, divided by 3 then the answer is above.

hope this helps :)

Answer:

When you find the volume of a triangle, remember to do this:

Step-by-step explanation:

Multiply the base times the height, then divide by two.

:)

The mistake is in the second triangle and is noticeable at first because the length of the leg is longer than the length of the hypotenuse.

Since this is a 30 60 90 triangle, you can use the properties that apply to them. I'm assuming that the leg with the length of 62ft is the given side. Using the rules, we know that x/2 is 62 (since the properties of a 30 60 90 triangle state that the shortest side is x/2). In order to find the hypotenuse (which is x), we can multiply both sides of the equation x/2 = 62 to get x = 124. To find the second leg, we need to use sqrt(3)*x/2, which when you plug in 124, gives 107.39. Andrea just switched the lengths of the second leg and the hypotenuse on accident.

Step-by-step explanation:

(F-32)* 5/9 = C

(83 -32) * 5/9 = 28 + 1/3

Step-by-step explanation:

equation is:

y=4/3 X+C

to find C use(3,7)

7=4/3×3 +C

C= 3

therefore ...

y=4/3X+3

3y=4X+ 9

Answer:

A

Step-by-step explanation:

I got it right, Edg2020

Answer:

It's B!

Right On Edge

Step-by-step explanation:

Answer: C

Step-by-step explanation: I tested some points from the graph into all of the equations (-8,10) (-4,10) (-6,4) and C is the only one that works for all of them. Plus when you are adding inside an absolute value, it means you are moving to the left by whatever number you added, which automatically eliminates A and D. So B and C were the only ones left and I tested the points to see which one is correct.

Answer:

The answer is C

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

Step-by-step explanation:

Did u find it

Answer:

-42

Step-by-step explanation:

The equations are AA = 150 + 70t and BB = 300 + 55t.

It is 10 hours which make the cost of each company the same.

Given,

Company A:

Charge for an hour =$ 70

Equipment fee = $ 150

Charge for ' t ' hours = 70 x t = 70t

Total cost = Equipment fee + charge for t hours

AA = 150 + 70t

Company B:

Charge for an hour =$ 55

Equipment fee = $ 300

Charge for 't' hours = 55 x t = 55t

Total cost = Equipment fee + charge for t hours

 BB = 300 + 55t

Now, we have to find

BB = AA

300 + 55t = 150 + 70t

300 – 150 = 70t – 55t

150 = 15t

t = 150 / 15

t = 10

That is,

The equations are AA = 150 + 70t and BB = 300 + 55t.

It is 10 hours which make the cost of each company the same.

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The set notation of the numbers is {x | x < 50 ∪ x > 50}

The set is given as

The set of all real numbers less than 50 or greater than 50

Let the number be represented by x

So, we have

x less than 50 or x greater than 50

When represented as an inequality, we have

x < 50 or x > 50

Using set notation, we have

{x | x < 50 ∪ x > 50}

Hence, the set notation of the numbers is {x | x < 50 ∪ x > 50}

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A (4,7) B(7,8) C (22,30)

Answer:

Step-by-step explanation:

Lets give a letter value for the chocolate chip and gingerbread cookies. Lets let C= Chocolate chip and G= Gingerbread For Makayla we can set her equation as 8c+12g=364

For John we can leave it as c+4g=93

To solve the equation we would have to substitute the second one into the first one to solve for gingerbread. Lets isolate C to make C=(93-4g)

We can do this because we know that C=93-4g so we can replace the C variable in the first equation with C=93-4g

8(93-4g) + 12g = 364

744 - 32g + 12g = 364

-32g + 12g = 364 - 744

-20g = -380

g = -380/-20

So we know that g=19 dollars. So one gingerbread cookie dough is $19

So now we can plug in the answer of g which was 19 then solve for C

c = 93 - 4(19)

c = $17 for the chip dough

Answer:

The cost per package is $17 for chocolate chip and $19 for gingerbread.

Step-by-step explanation:

Define the variables:

Given information:

Create two equations using the defined variables and the given information:

  [tex]\textsf{Equation 1}: \quad 8x+12y=364[/tex]

  [tex]\textsf{Equation 2}: \quad x+4y=93[/tex]

Multiply Equation 2 by 3:

[tex]\implies 3 \cdot x + 3 \cdot 4y=3 \cdot 93[/tex]

[tex]\implies 3x+12y=279[/tex]

Subtract from Equation 1 to eliminate the term in y:

[tex]\begin{array}{lrl}& 8x+12y =&364\\- & (3x+12y =&279)\\\cline{1-3} & 5x \phantom{+12y)} =& \:\:85\end{array}[/tex]

Solve for x:

[tex]\implies 5x=85[/tex]

[tex]\implies \dfrac{5x}{5}=\dfrac{85}{5}[/tex]

[tex]\implies x=17[/tex]

Substitute the found value of x into Equation 2 and solve for y:

[tex]\implies x+4y=93[/tex]

[tex]\implies 17+4y=93[/tex]

[tex]\implies 17+4y-17=93-17[/tex]

[tex]\implies 4y=76[/tex]

[tex]\implies \dfrac{4y}{4}=\dfrac{76}{4}[/tex]

[tex]\implies y=19[/tex]

Conclusion

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Answer:

1)48

2)25

3)21

Step-by-step explanation:

Answer:

8:48

5:25

21:35

Step-by-step explanation:

for any ratio, it stays the same if you multiply left and right with the same number.

So let's take the last one:  

3 : 5 should be equivalent to ? : 35

How did 5 get to be 35? It was multiplied by 7.

So we do that on the left side as well.

3×7 = 21.

Conclusion: 21:35 is equivalent to 3:5

Answer:

0.28 pounds

Step-by-step explanation:

Here, we want to get the weight of the calculator expressed as a decimal

Mathematically, what we have to do is to divide 7 by 25

The answer is 0.28 pounds

Answer:

34347

Step-by-step explanation:

Use the formula s=p(1+r/k)^kt

p=30000

r=7% (interest)

k=1 (because of per annum)

t= 2 (years)

Hence: 30000(1+0.07/1)^1(2) = 34347

Answer:

Based on the given description above, the correct answer would be the second statement. If two lengths of two sides of a triangle are 9 and 15, therefore, the length of the third side must be greater than or equal to 6 and at most 24. Hope this answer helps.

Step-by-step explanation:

Answer:

251028.928

Step-by-step explanation:

i used a calculator

The result of the expression 7 x 8(9 + 8) - 6 x 7 + 2 (77 x 8) - 7 + 1092 (2010 x 0.1134) + 17 - 27  will be 251028.928 .

Given , expression 7 x 8(9+8) - 6 x 7 + 2(77 x 8) - 7 + 1092(2010 x 0.1134) + 17 - 27.

Apply BODMAS to solve the expression.

B = Bracket

O = of

D = Division

M = Multiplication

A = Addition

S = Subtraction

Following the same order,

7 x 8(9+8) - 6 x 7 + 2(77 x 8) - 7 + 1092(2010 x 0.1134) + 17 - 27

= 952 - 42 + 1232 - 7 + 248903.928 + 17 - 27

= 251028.928

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Answer:

1st, 2nd, 3rd, 4th, and 5th position.

Step-by-step explanation: