find the HCF of 120,140, 180​

Answer:

68?

Step-by-step explanation:

multiples of 5 end in 5 or 0

_ _ _

last digit has 2 choices ( 5 and 0 )

1,3,5,7,9 are odd

so tens digit has 5 choices but we see that 5 is repeated so we split into more cases

when last digit is 0, tens digit has 5 choices then hundreds digit has 8 choices so 1*5*8=40

when last digit is 5, tens digit has 4 choices and hundreds digit has 7 choices (0 can't be first digit) 1*4*7=28

40+28=68

Using the binomial distribution, it is found that:

A. The salesperson should expect 1.54 customers until he finds one that makes a purchase.

B. There is a 0.0279 = 2.79% probability that a salesperson helps 3 customers until he finds the first person to make a purchase.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

For this problem, the probability of a success on a single trial is of p = 0.65.

The expected number of trials until q successes is:

E(X) = q/p

Hence, for one purchase:

E(X) = 1/0.65 = 1.54.

The salesperson should expect 1.54 customers until he finds one that makes a purchase.

For item B, the probability is P(X = 0) when n = 3 multiplied by 0.65, hence:

p = (0.35)³ x 0.65 = 0.0279.

There is a 0.0279 = 2.79% probability that a salesperson helps 3 customers until he finds the first person to make a purchase.

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The total estimated number of retirees at the senior center in retirement community in Florida in March  is 1,740.

To estimate the total number of retirees at the senior center in March, round each weekly attendance to the nearest tens place and add them together:

To the nearest tens, we have

First week: 346 ≈ 350

Second week: 412 ≈ 410

Third week: 293 ≈ 290

Fourth week: 689 ≈ 690

Add the estimated values

350 + 410 + 290 + 690

= 1,740

Therefore, the total estimated number of retirees at the senior center in March is 1,740.

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The order for the extra materials that are ordered by the man will be between 17.31 ft² and 23.08 ft².

From the information, the man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and wants to order between 15% and 20% extra of the material.

It should be noted that 15% of the material will be:

= 15% × 115.4

= 17.31 ft²

It should be noted that 20% of the material will be:

= 20% × 115.4

= 23.08 ft²

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Answer:

the answer I got is 35/24

Step-by-step explanation:

56+1/8-5×3+2/3

57/8-15+2/3

57/8-17/3

171-136/24

=35/24

Answer:

Problem 1)

\(m\angle DEG = 38^\circ\)

Problem 2)

\(m\angle x =140^\circ \text{ and } m\angle y = 49^\circ\)

Problem 3)

\(m\angle EDG = 65^\circ\)

Step-by-step explanation:

Problem 1: ∠DEG

From the diagram, we know that ∠DFG intercepts Arc DG.

Inscribed angles have half the measure of its intercepted arc. Therefore:

\(\displaystyle \frac{1}{2}m\stackrel{\frown}{DG}=m\angle DFG\)

We know that m∠DFG = 38°. So:

\(\displaystyle \frac{1}{2}m\stackrel{\frown}{DG}=38\Rightarrow m\stackrel{\frown}{DG}=76^\circ\)

∠DEG also intercepts Arc DG. Hence:

\(\displaystyle m\angle DEG=\frac{1}{2}m\stackrel{\frown}{DG}\)

We know that Arc DG measures 76°. Hence:

\(\displaystyle m\angle DEG =\frac{1}{2}\left(76\right)=38^\circ\)

Alternate Explanation:

Since ∠DEG and ∠DFG intercept the same arc, ∠DEG ≅ DFG. So, m∠DEG = m∠DFG = 38°.

Problem 2: Circle with Centre O

(Let the bottom left corner be A, upper be B, and right be C.)

∠ACB intercepts Arc AC.

Inscribed angles have half the measure of its intercepted arc. Therefore:

\(\displaystyle \frac{1}{2}m\stackrel{\frown}{AC}=m \angle ACB\)

Since m∠ACB = 70°:

\(\displaystyle \frac{1}{2}m\stackrel{\frown}{AC}=70\Rightarrow m\stackrel{\frown}{AC}=140^\circ\)

∠x is a central angle and also intercepts Arc AC.

The measure of a central angle is equal to its intercepted arc. Thus:

\(\displaystyle m\angle x =m\stackrel{\frown}{AC}=140^\circ\)

The sum of the interior angles of a polygon is given by the formula:

\((n-2)\cdot 180^\circ\)

Where n is the number of sides.

Since the inscribed figure is a four-sided polygon, its interior angles must total:

\((4-2)\cdot 180^\circ =360^\circ\)

Therefore:

\(21+70+y+(360-x)=360\)

Substitute and solve for y:

\(91+y+(360-140)=360\Rightarrow y +311=360\Rightarrow m\angle y = 49^\circ\)

Problem 3: ∠EDG

∠EFG intercepts Arc EDG.

Inscribed angles have half the measure of its intercepted arc. Therefore:

\(\displaystyle \frac{1}{2}m\stackrel{\frown}{EDG}=m\angle EFG\)

Since m∠EFG = 115°:

\(\displaystyle \frac{1}{2}m\stackrel{\frown}{EDG} = 115\Rightarrow m\stackrel{\frown}{EDG} = 230^\circ\)

A full circle measures 360°. Hence:

\(m\stackrel{\frown}{EDG}+m\stackrel{\frown}{EFG}=360^\circ\)

Since we know that Arc EDG measures 230°:

\(230^\circ + m\stackrel{\frown}{EFG}=360\)

Solve for Arc EFG:

\(m\stackrel{\frown}{EFG}=130^\circ\)

∠EDG intercepts Arc EFG.

Inscribed angles have half the measure of its intercepted arc. Therefore:

\(\displaystyle m\angle EDG = \frac{1}{2}m\stackrel{\frown}{EFG}\)

Since we know that Arc EFG measures 130°:

\(\displaystyle m\angle EDG = \frac{1}{2}(130)=65^\circ\)

Answer:

question 1:

38 degrees (explanation down below)

question 2:

y = 49 degrees!

question 3:

angle EDG = 65

Step-by-step explanation:

question 1: i'd say DFG is the same as DEG because the arc is the same angle, so angle DEG is 38 degrees because it is half of 76 degrees or the arc angle

question 2 isn't any harder: the arc angle for 70 is 140 degrees, so 140 degrees is equal to x. so angle O would be 220 degrees and because the triangle became a square, 360-220-70-21 equals y!

question 3: arc angles teaches you something that will make your question SO easy, arc angle GE is equal to 230 degrees because of 115 degrees doubled, so 360/230 equals 130 which divided by 2 equals 65

The linear equation in standard form is g + s + b=104, the relationship between silver to bronze medals is g = s  and the solution is g=46, s=29, b=29

(a) Since the United States won 104 gold (g), silver s, and bronze (b) medals in the 2012 Summer Olympics.

This means the sum of gold (g), silver s, and bronze (b) medals is equal to 104. Thus, the linear equation in standard form is:

g + s + b = 104

(b) Since the United States won 46 gold medals and the same number each of silver and bronze medals. This implies:

g = 46

s = b

Thus, the relationship between the number of silver to bronze medals is s = b

(c) To solve the linear equation, substitute g = 46 and s = b into the equation g + s + b = 104:

g + s + b = 104

46 + b + b = 104

46 + 2b = 104

2b = 104 -46

2b = 58

b = 58/2

b = 29

Also, s = 29        (Remember: s = b)

Thus, g = 46, s =29, b = 29

Therefore, the United States won 46 gold (g), 29 silver (s), and 29 bronze (b) medals in the 2012 Summer Olympics. Select options a., d. and e. for a., b., and c. respectively

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The value of, \(2x - 4y = 5.\)

To find the coordinates of point C, which is the midpoint of line segment AB, we will first find the midpoint formula.
Midpoint formula:

\($C(x, y) = \left(\frac{x_A + x_B}{2}, \frac{y_A + y_B}{2}\right)$\)
Now, substitute the coordinates of points A and B:
\($C(x, y) = \left(\frac{24 + 3}{2}, \frac{7 + 4}{2}\right)$\)
Simplify:
\($C(x, y) = \left(\frac{27}{2}, \frac{11}{2}\right)$\)
So, point C has coordinates \((\frac{27}{2}, \frac{11}{2}).\)

Now we can find the value of  \(2x - 4y:\)
\($2x - 4y = 2\left(\frac{27}{2}\right) - 4\left(\frac{11}{2}\right) = 27 - 22 = 5$\)

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4 he can make four cuAse u can cut 8/10s into 4)5

Answer:

4

Step-by-step explanation:

The amount of Plutonium that remains after 36 months is 0.05

The equation for the amount of Plutonium after t months is

\(\mathbf{P(t) = 12e^{-0.1507t}}\)

After 36 months; we have: t = 36.

Substitute 36 for t in P(t).

So, we have:

\(\mathbf{P(36) = 12e^{-0.1507 \times 36}}\)

Simplify the exponent

\(\mathbf{P(36) = 12e^{-5.4252}}\)

Evaluate the exponent

\(\mathbf{P(36) = 12 \times 0.004404}\)

Multiply

\(\mathbf{P(36) = 0.052848}\)

Approximate to 2 decimal places

\(\mathbf{P(36) = 0.05}\)

Hence, the amount that remains is 0.05

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Answer:

to what?

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer

B and C are true for sure but i am not sure about A or C.... i think it is C

Step-by-step explanation:

Answer:

33

Last answer: 28

sorry I didn't read it properly

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

18 + 10 sorry this is wrong its 33 my bad

The girl which is correct between kate and her friend Margo is Margo.

The correct answer option is option B

If each friend gets the same number of pens;

Number of pens each friend get = Number of pens Kate has / Number of Kate's friends

= 63 / 9

= 7

Check:

Number of pens each friend get × Number of Kate's friends = Number of pens Kate has

7 × 9 = 63

Therefore, Kate's friend, Margo is correct.

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The 7x side is half the length of the 28 side.

           7x = 14

             x = 2

Answer:

A) 75

Step-by-step explanation:

All 3 angles of any triangle add up to 180° so we can subtract all known angles from 180° to get the missing angle.

40°+65°=105°

180°-105°

75°

Answer:

75 feet in 45 seconds

Step-by-step explanation:

*disclaimer*

dont know if this is how you were taught to do this but heres how i was:

\(6 sec /10 ft. = 45 sec / x\)

Set this up as a proportion.

Then multiply 10 ft by 45 sec, and 6 sec by x

Your equation then simplifies to

6x = 450

x = 75

The volume of a cube is a*a*a where a is length of the side,

What is Surface area of cube?

Surface area of cube can be defined as the product of six and square of a .

Given ,

to find the volume of cube.

Volume of a cube is the overall cubic gadgets occupied via it, in a 3-dimensional area. A cube is a 3D-shape, that has six faces, twelve edges and 8 vertices. hence, the extent of a cube is the space enclosed via its six faces. not like, 2nd shapes, it has additional dimensions aside from period and width, that is known as height or thickness. therefore, the quantity of dice is equal to fabricated from its duration, width and height. it's far measured in cubic gadgets. The extra the value of its dimensions the more is the quantity of dice.

Volume of cube is  =  a*a*a

where a is length of side of cube or edges.

or it can be also called

volume of cube = length*width*height

Hence, The volume of a cube is a*a*a .

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√7(-8√10+√14)

-8√70+√98

-8√70+√49.2

-8√70+7√2

Just comment if you want to ask

Answer:

Answer:

f(3) = 3 + 1 = 4

Step-by-step explanation:

Since 3 > 0, we need to focus on the part of the function where x > 0. So:

f(3) = 3 + 1 = 4.

\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=16 \end{cases} \\\\\\ 16=\cfrac{k}{4}\implies 64 = k\hspace{9em}\boxed{y=\cfrac{64}{x}} \\\\\\ \textit{when x = 32, what's "y"?}\qquad y=\cfrac{64}{32}\implies y=2\)

Answer:

88

Step-by-step explanation:

Mean of five test = 85

Sum of five tests = 85*5 = 425

Mean of first three test =83

Sum of first three test = 83 * 3 = 249

Sum of 4th and 5th test scores = 425 - 249

                                                   = 176

Mean of his 4th and 5th test = 176/2 = 88

Answer:

Either 24 cm^2 or 28 cm^2

Step-by-step explanation:

I can't remember if the calculated area of the part of the shape which is removed is halved or not, if it's cut in half then the answer is 28 otherwise it's 24.

It's either

32 - 8 = 24

32 - 4 = 28

Answer:

False. The product of two negative integers is a positive integer.

The based on this example, we can see that the converse of the Pythagorean theorem does not hold for this particular triangle.

To prove the converse of the Pythagorean theorem, we need to show that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

In the given triangle AABC, with vertices at A(1,6), B(1,1), and C(5,1), we can calculate the lengths of the sides using the distance formula or Pythagorean theorem.

AB = sqrt((1-1)^2 + (6-1)^2) = sqrt(25) = 5

BC = sqrt((5-1)^2 + (1-1)^2) = sqrt(16) = 4

AC = sqrt((5-1)^2 + (6-1)^2) = sqrt(40) = 2sqrt(10)

Now, let's check if AB^2 + BC^2 = AC^2:

AB^2 + BC^2 = 5^2 + 4^2 = 25 + 16 = 41

AC^2 = (2sqrt(10))^2 = 4(10) = 40

Since AB^2 + BC^2 is not equal to AC^2, the given triangle AABC does not satisfy the condition for the converse of the Pythagorean theorem.

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The function is negative for since the leading coefficient is positive and the highest degree is odd (9) (-inf, -6).

The function is negative for since the leading coefficient is positive and the highest degree is odd (9) (-inf, -6).

It then crosses the -6 root to turn positive until it again crosses the -2 root.

(It crosses because the odd multiplicity of both roots)

The function remains negative from -2 until root 4, where it crosses into the positive, where it does not cross since there is an even multiplicity.

In light of the aforementioned, only the first option makes sense. because the leading coefficient is positive and the highest degree is odd (9) the function is negative for (-inf, -6).

Then it crosses the -6 root to become positive until it crosses again the root -2.

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