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Answer: 10

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

Add 95, 90, and 83 all together

add 92 to that total

divide by 4

Answer:

-Dilate circle A by scale factor of 2

Got it right on the test (see picture)

Circle A is translated using the rule (x + 1, y - 1). Then the correct option is B.

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Circle A has a center of (2,3) and a radius of 5, and circle B has a center of (1,4) and a radius of 10.

Circle B is translated as 1 unit leftward in the x-direction and 1 unit upward in the y-direction.

Then circle B is dilated by a factor of 2.

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coat cost= $60.

the fraction of amount she needs to save.

saved/ actual cost

= $42/ $60 ÷ 2/2

= 21/30

answer= option a) 21/30

Answer:

2 is the base, 10 is the base, and x is the base. X is the exponent of 2, x is the exponent of 10, and x is the exponent of x.

Step-by-step explanation:

Answer:

6 miles in 66 mins

Step-by-step explanation:

4 miles = 44 mins

simplify to the lowest point

1 mile = 11 mins

? = 66 mins

? = 1 x 6

you can run 6 miles in 66 mins

Answer:

Step-by-step explanation:

4/44= 0.0909090909...*66=6

find the propotunate value by dividing each initial value and multiply it by the listed secondary value

our number is x

we add seven (+7) to x

x+7

Answer:

15 years old

Step-by-step explanation:

Start by defining the variables that we are going to use throughout our working:

Let the current age of Wei Ling and Wei Xuan be L and X years old respectively.

Next, form equations using the given information.

5 years ago

Wei Ling: (L -5) years old

Wei Xuan: (X -5) years old

Given that the ratio of Wei Ling's age to that of Wei Xuan's is 2: 5,

[tex] \frac{ L - 5}{X - 5} = \frac{2}{5} [/tex]

Cross multiply:

2(X -5)= 5(L -5)

Expand:

2X -10= 5L -25

2X= 5L -25 +10

2X= 5L -15 -----(1)

9 years time

Wei Ling: (L +9) years old

Wei Xuan: (X +9) years old

Given that the ratio of Wei Ling's age to that of Wei Xuan is 3: 4,

[tex] \frac{L + 9}{X + 9} = \frac{3}{4} [/tex]

Cross multiply:

3(X +9)= 4(L +9)

Expand:

3X +27= 4L +36

3X= 4L +36 -27

3X= 4L +9 -----(2)

Let's solve using the elimination method.

(1) ×3:

6X= 15L -45 -----(3)

(2) ×2:

6X= 8L +18 -----(4)

(3) -(4):

6X -6X= 15L -45 -(8L +18)

0= 15L -45 -8L -18

0= 7L -63

7L= 63

L= 63 ÷7

L= 9

Substitute L= 9 into (1):

2X= 5(9) -15

2X= 45 -15

2X= 30

X= 30 ÷2

X= 15

Thus, Wei Xuan is 15 years old now.

Answer:

$ 200

Step-by-step explanation:

$ per ticket   =   $ 120 / 3 tix

Price for 5     $120 / 3 tix  * 5 tix = $ 200

An additional interest of $ 4.08 is earned in year 5 by using compound interest and in comparison with simple interest method.

Simple interest (C) is the amount of money gained and solely related to the initial capital ([tex]C_{o}[/tex]), in monetary units. The money earned by simple interest is determined by the following formula:

[tex]C = \frac{C_{o}\cdot r\cdot t}{100}[/tex]     (1)

Where:

Compound interest (C) takes into account the capital throughout time and its formula is presented below:

[tex]C = C_{o}\cdot \left[\left(1+\frac{r}{100} \right)^{t}-1\right][/tex]

Now we proceed to determine the simple and compound interest: ([tex]C_{o} = 1000[/tex], r = 2, t = 5)

C = [(1000) · (2) · (5)]/100

C = $ 100

C = (1000) · {[1+(2/100)]⁵-1}

C = $ 104.08

An additional interest of $ 4.08 is earned in year 5 by using compound interest and in comparison with simple interest method. [tex]\blacksquare[/tex]

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Answer:

  245 ft

Step-by-step explanation:

The geometry of the problem can be modeled by a right triangle in which Meena's height is the side opposite the angle of depression, and the distance to the boat is the side adjacent to the angle of depression. The mnemonic SOH CAH TOA reminds us of the relation ...

  Tan = Oppsite/Adjacent

__

The more useful trig function for this problem is the inverse of the tangent function, the cotangent. Using that function, we have ...

  cot(angle) = (distance to boat)/(Meena's height)

Then the distance to the boat is ...

  distance to boat = (Meena's height)×cot(angle)

The change in distance from A to B is then ...

  A -B = (120 ft)(cot(18°) -cot(44°))

  = (120 ft)(3.0777 -1.0355) ≈ 245.06 ft

The distance from point A to point B is about 245 feet.

Step-by-step explanation:

[tex](x - 2) {?}^{2} + (y + 3) { = 18} [/tex]

Answer:

Correct ones A and F

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

Correct ones H and K

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

First we have to calculate g (-5) :

[tex]\qquad \tt \dashrightarrow \:x - 8[/tex]

[tex]\qquad \tt \dashrightarrow \: - 5 - 8[/tex]

[tex]\qquad \tt \dashrightarrow \: - 13[/tex]

Now, let's find f (g (-5)) :

[tex]\qquad \tt \dashrightarrow \: {x}^{2} + 6x[/tex]

[tex]\qquad \tt \dashrightarrow \:( - 13) {}^{2} + (6 \times - 13)[/tex]

[tex]\qquad \tt \dashrightarrow \:169 + ( - 78)[/tex]

[tex]\qquad \tt \dashrightarrow \:169 - 78[/tex]

[tex]\qquad \tt \dashrightarrow \:91[/tex]

Answer:

$121,683.79

Step-by-step explanation:

A= P(1+ r)^t

A= Amount, P = Principal, r = Rate (decimal form), t= time

A = 47000(1+0.0825)^12

A = 47000(1.0825)^12

A = 47000(2.589016751)

A = 121683.7873

Rounded Answer = $121,683.79

(If there is meant to be no cents then $121,684). Good luck :)

Answer:

-6

Step-by-step explanation:

-2x - 9 = 4/3x+11

-

-6x-27=4x+33

-

-6x-27-4x=33

-

=6x-4x=33+27

-

10x=33+27

-

-10x=60

-

x= -6

Answer:

B

Step-by-step explanation:

It's 18! Obviously it's not 180 because it's too big. It can't be 36 because 36 doesn't go evenly into 90. 6 is too small, so the answer is 18.

Step-by-step explanation:

The statements that describe the graph are,

The ball travels 24 cm in 1s.

It takes the ball 2s to complete a cycle

The midline is at f(x)=0

I hope it helped you

Answer:

(-10,0)

Step-by-step explanation:

2a =[2(-2) , 2(-3)] = (-4 -6) <--- add them

-3b = [-3(1) . -3(-1)] = (-3 +3) <--- add them

2a - 3b =  

[(-4  -6), (-3  +3)] =

(-10,0)

Answer:

The correct answer is 12/37

It will take approximately 169 minutes for a the rocket to travel a distance of  1,260,000,000 feet at 1,540,000 ft/min

Given Data

Applying the relationship between speed, distance and time we have

Speed = Distance/Time

Substituting our given data into the expression we have

1,540,000  = 260,000,000/time

Making time subject of formula

time = 260,000,000/1,540,000

time = 169 miniutes

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Answer:

45.27 miles

Step-by-step explanation:

Pythagorean theorem

23^2 + 39^2 = d ^ 2

d = 45.27 miles

If  a person drives 23 miles south and make a turn to east and drive 39 miles then the distance between starting point and person is 45.27 miles.

Pythagoras theorem applies in a right angled triangle. It says that in a right angled triangle the square of hypotenuse is equal to sum of squares of perpendicular and base of that triangle.

[tex]H^{2} =P^{2} +B^{2}[/tex]

When person drives towards south and then east , it forms a right angled triangle. We have to find the distance of person from the starting point. If we see the figure then we will come to know that we are require to find hypotenuse of triangle.

H=[tex]\sqrt{P^{2} +B^{2} }[/tex]

Distance=[tex]\sqrt{23^{2} +39^{2} }[/tex]

=[tex]\sqrt{1521+529}[/tex]

=[tex]\sqrt{2050}[/tex]

=45.27

Hence the distance of person from starting point is 45.27 miles.

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Answer:

There are 8 oz of soup per can  :  True

In 8 cans, there are 21 oz of soup  : False

There are 2 oz of soup in 16 cans  : False

In 1/8 of a can, there is 1 oz of soup  : True

Step-by-step explanation:

To start, we know we have 168 oz of soup and 21 cans that are all the same size. To find how much is each can, (We know that they will all have the same amount since it says equally sized cans.) we can simply divide the amount we have of soup in oz by the amount of cans we have.

168 / 21 = 8.

This means that all the cans will be filled with 8 oz of soup. Making the first statement true.

Since there are 8 oz in each can, we can do 8 cans * 8 oz to find how many oz are in 8 cans of soup.

8 * 8 = 64 oz.

There are 64 oz of soup in 8 cans. Making the second statement false.

Now again, since there are 8 oz in each can, we can do 16 cans * 8 oz to find how many oz are in 16 cans of soup.

16 * 8 = 128 oz.

There are 128 oz of soup in 16 cans. Making the third statement false.

For the last question, to find 1/8 of a can of soup, we can take 8 oz (8 oz in one can) and divide it by 8.

8/8 = 1

Meaning 1/8 of a can of soup is 1 oz of soup. Making the fourth statement true.

Answer:

  350 adult tickets

Step-by-step explanation:

If x is the number of adult tickets sold, then x-57 is the number of student tickets sold (57 fewer). The total number sold is ...

  x +(x -57) = 643

  2x = 700 . . . . . . . . collect terms, add 57

  x = 350 . . . . . . . divide by 2

There were 350 adult tickets sold.

Answer:

4 degrees is the closest thing i could think of while looking at this.

By applying the Newton's law of cooling and performing the neccessary calculations, the time of death of the body is about 4 hours ago.

According to the Newton's law of cooling;

T(t) = T(s) + (To - Ts)e^-kt

T(t) = temperature at time t

T(s) = temperature of the surroundings

To = Initial temperature

k = cooling constant

t = time taken

Substituting the values;

T(t) = 60 + (98.6 - 60)e^- 0.1947t

To find the time taken to attian a temperature of 78°F;

78 = 60  + (98.6 - 60)e^- 0.1947t

78= 60 + 38.6e^- 0.1947t

78 - 60 = 38.6e^- 0.1947t

18/38.6 = e^- 0.1947t

0.466 = e^- 0.1947t

ln0.466 = lne^- 0.1947t

ln0.466 =- 0.1947t

t = ln0.466 /- 0.1947

t = 4 hours

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The angle at which the ball takes off, distance the ball in the air, the ball's speed is mathematically given as

Generally, the equation for the verticle component   is mathematically given as

[tex]y=xtan\theta-\frac{16x^2}{v0cos^2\theta}\\\\Therefore\\\\\theta=tan^{-1}(1.8)[/tex]

theta=60

b)

hmax=vo^2sin^2\theta/2g

vo=116.486

Therefore, distance the ball in the air

[tex]d=\frac{2*114.486*0.874*2}{32}[/tex]

d=6.3658

c)

The ball's speed when it hits the ground will be vo

vo=116.486

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