Raul had $60. Mike had $30. Each boy donated 1 tenth of his money.

Which statement is true?


Raul donated more money than Mike did.


Mike donated more money than Raul did.


The boys donated an equal amount.

Answer: 39 degrees

Step-by-step explanation: The angle sum of a triangle is 180 degrees so we take 102 from 180.

180-102=78

Since the two angles are the same then we just divide 78 by 2

78/2=39

Answer:

∠E ≈ 37°

Step-by-step explanation:

Using the Sine Rule in ΔEFG, that is

[tex]\frac{26}{sinE}[/tex] = [tex]\frac{42}{sin102}[/tex] ( cross- multiply )

42 × sinE = 26 × sin102° ( divide both sides by 42 )

sinE = [tex]\frac{26(sin102)}{42}[/tex] ≈ 0.6055..

E = [tex]sin^{-1}[/tex] (0.6055 ) ≈ 37°

Answer:

2,550

Step-by-step explanation:

3,000 divided by 20 equals 150.

17 multiplied by 150 equals 2,550.

the answer is 2,550 I agree

For this case we have that the distance between two points is:

[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2 (y_ {2} -y_ {1}) ^ 2}[/tex]

We have the following points:

[tex](x_ {1}, y_ {1}) :( 3 \sqrt {7}, 2 \sqrt {5})\\(x_ {2}, y_ {2}) :( 5 \sqrt {7}, 5 \sqrt {5})[/tex]

Substituting:

[tex]d = \sqrt {(5 \sqrt {7} -3 \sqrt {7}) ^ 2+ (5 \sqrt {5} -2 \sqrt {5}) ^ 2}\\d = \sqrt {(2 \sqrt {7}) ^ 2+ (3 \sqrt {5}) ^ 2}\\d = \sqrt {4 (7) + 9 * (5)}\\d = \sqrt {28 + 45}\\d = \sqrt {73}\\d = 8.5440[/tex]

Answer:

[tex]d = 8.54[/tex]

Answer:

Step-by-step explanation:

[tex]8g=96\qquad\text{divide both sides by 8}\\\\\dfrac{8g}{8}=\dfrac{96}{8}\\\\g=12[/tex]

Answer:

You are correct!

:D

Answer:

25 1/2 × 5 - 3 = 5x

51/2 × 5 - 3    = 5x

255/2 - 3       = 5x

255/2 - 6/2   = 10x/2

255 - 6          = 10x

249               = 10x

x                    = 249/10 = 24.9

The value of x in the equation [tex]25\frac{1}{2} * 5 -3 = 5x[/tex]  is x=24.9

Given:

Find:

Solution:

The given equation is [tex]25\frac{1}{2} * 5 -3 = 5x[/tex]

Now, solving the equation, we get;

[tex]25\frac{1}{2} * 5 -3 = 5x[/tex]

[tex]\frac{51}{2} *5 - 3 =5x[/tex]

Now, multiplying the 51/2 with 5, we get;

[tex]\frac{255}{2} - 3 = 5x[/tex]

Now, we will take lcm and we get;

[tex]\frac{255-6}{2} = 5x[/tex]

[tex]\frac{249}{2} = 5x[/tex]

Now, multiplying with 2 on both sides of the equation, we get;

249 = 10x

Now, dividing by 10 into both sides of the equation, we get;

x = 24.9

Hence, the value of x in the equation [tex]25\frac{1}{2} * 5 -3 = 5x[/tex] is x=24.9

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Answer:

15.

Step-by-step explanation:

Divide each side by .15 9/.15 = .15/.15x  

The .15 on the right side of the equation cancels to 1, so once you divide 9 by .15, you get the answer.  

60 = x

18. ..................

Answer:18446744073709600000

Step-by-step explanation:

2^-8*2=2^64=

[tex](\frac{f}{g})(x)=\frac{x^{2} +2x-3}{x^2-9}[/tex]  since x = 4, you plug in 4 into the x's in the equation

[tex](\frac{f}{g} )(4)=\frac{(4)^2+2(4)-3}{(4)^2-9} = \frac{16 + 8 - 3}{16 - 9}[/tex]  Simplify

[tex]\frac{21}{7} =3[/tex]    

so [tex](\frac{f}{g})(4)=3[/tex]

(f + g)(x) = (x² + 2x - 3) + (x² - 9)     Plug in 4 for x

(f + g)(4) = 4² + 2(4) - 3 + (4)² - 9

(f + g)(4) = 16 + 8 - 3 + 16 - 9 = 28

Answer:

Option A

Step-by-step explanation:

Given

m=( y_2- y_1)/(x_2-x_1 )

In order to get the equivalent equation, multiplying the denominator x_2-x_1with m.

m(x_2-x_1 )=y_2- y_1

Adding y1 to both sides of equation will give:

m(x_2-x_1 )+ y_1=y_2- y_1+y_1

So the end result will be:

m(x_2-x_1 )+ y_1=y_2

Can also be written as:

y_2=m(x_2-x_1 )+ y_1

Comparing it the given options gives us that Option A is the correct answer.

The Correct answer is A

Answer:

The answer is D

Step-by-step explanation:

(12 + 6) x (11 - 7) = 72

18 x 4 = 72

72 = 72

The answer is D

Answer:

The commission is $180

Step-by-step explanation:

To find the commission take the total (750) and multiply it by the percentage of commission (.24).

When you do this, you will get $180.

Hope this helps! :)

Answer:

its 180

Step-by-step explanation:

Answer:

x=11 and x=18

Step-by-step explanation:

The given quadratic equation is;

[tex](x-8)^2-13(x-8)+30=0[/tex]

Let u=(x-8)

[tex]u^2-13u+30=0[/tex]

Split the middle term;

[tex]u^2-10u-3u+30=0[/tex]

Factor by grouping

[tex]u(u-10)-3(u-10)=0[/tex]

[tex](u-10)(u-3)=0[/tex]

We have either u=10 or u=3

This implies that;

x-8=10 or x-8=3

x=10+8 or x=3+8

x=18 or x=11

Answer:

The answer is D on EDGE 2020

Step-by-step explanation:

Answer:

value of t is greater than equal to -9 / 28.

Step-by-step explanation:

Given Quadratic Polynomial :  tx² + 3x - 7 = 0

Also, It has real solutions.

Standard Quadratic equation, is ax² + bx + c = 0

here, Determinant, D = b² - 4ac

decides nature of the roots.

if D < 0 , roots / solutions are complex

if D = 0 , roots are real and equal.

if D > 0 , roots are real and different.

As given roots are real solutions.

Means Dis either equal to 0 or greater than 0

when D = 0

we have, 3² - 4 × t × (-7) = 0

               9 + 28t = 0

               t = -9 / 28

when D > 0

we have, 3² - 4 × t × (-7) > 0

               9 + 28t > 0

               t > -9 / 28

Therefore, value of t is greater than equal to -9 / 28.

Answer:

Perimeter=737 feets

Area=13542.6 ft²

Step-by-step explanation:

Well assuming that a,b,c are the three sides of the triangle and h is the height then;

Perimeter=distance around the figure

P=164+221+352= 737 feet

Area of a triangle given three sides is calculated using the formulae;

Area=√s (s-a) (s-b) (s-c) where  s=(a+b+c)/2

Finding s;

s=(164+221+352)/2 =368.5 feet

Finding the area

A= √ 368.5 (368.5-164) (368.5-221) (368.5-352)

A=√368.5 (204.5) (147.5) (16.5)

A= 13542.6 ft²

Answer:

4153

Step-by-step explanation:

(x-3)/10 + 3000 = x-73

(x-3)/10 = x - 3738

x-3 = 10x - 37380

 x = 10x - 37377

-9x = -37377

 x = 4153

: P

Answer:

4153

Step-by-step explanation:

Let the original number be x

First, you subtract 3 from the original number. This removes 3 from the last digit, but leaves a zero there.

Now to remove the zero, you divide by 10.

Finally, to put the 3 at the first position, you add 3000.

Now Moving the last digit, 3, to the first position the number becomes :[tex]\frac{x-3}{10}+3000[/tex]

We are given that the number will decrease by 738.

A.T.Q

[tex]\frac{x-3}{10} + 3000 = x-738[/tex]

[tex]\frac{x-3}{10}= x - 3738[/tex]

[tex]x-3 = 10x - 37380[/tex]

[tex]x = 10x - 37377[/tex]

[tex]-9x = -37377[/tex]

[tex]x = 4153[/tex]

Hence the original 4-digit number is 4153.

Answer:

x = 35 degrees.

Step-by-step explanation:

cos x = sin(20 + x)

Using the identity cos x = sin(90 - x):

20 + x = 90 - x

2x = 70

x = 35 degrees (answer).

Answer:

Value of x is 35°.

Step-by-step explanation:

Given:

cos x = sin ( 20 + x )

To find: Value of the x.

We know that [tex]sin\,(90-\theta)=cos\,\theta[/tex]

Consider,

cos x = sin ( 20 + x )

sin ( 90 - x ) = sin ( 20 + x )

Comparing both sides,

90 - x = 20 + x

-x - x = 20 - 90

-2x = -70

x = 35°

Therefore, Value of x is 35°.

Answer:

C = [tex]200\pi[/tex]

Step-by-step explanation:

C = [tex]2 \pi r[/tex], where r - radius

Since the equation of the circle is:

[tex]x^2 + y^2 = 100[/tex]

The radius is 100.

C = [tex]200\pi[/tex]

Answer:

Part 1) [tex]HD=\sqrt{105}\ units[/tex]

Part 2) [tex]JD=2\sqrt{34}\ units[/tex]

Part 3) [tex]KD=6\sqrt{2}\ units[/tex]

Step-by-step explanation:

step 1

Find the length HD

In the right triangle HDF

Applying the Pythagoras Theorem

[tex]FD^{2} =HF^{2} +HD^{2}[/tex]

substitute the values and solve for HD

[tex]19^{2} =16^{2} +HD^{2}[/tex]

[tex]HD^{2}=19^{2}-16^{2}[/tex]

[tex]HD^{2}=105[/tex]

[tex]HD=\sqrt{105}\ units[/tex]

step 2

Find the length JD

In the right triangle JDF

Applying the Pythagoras Theorem

[tex]FD^{2} =JD^{2} +FJ^{2}[/tex]

we have

[tex]FD=19\ units[/tex]

[tex]FJ=JG=15\ units[/tex] ----> because JD is a perpendicular bisector

substitute the values and solve for JD

[tex]19^{2} =JD^{2} +15^{2}[/tex]

[tex]JD^{2}=19^{2}-15^{2}[/tex]

[tex]JD^{2}=136[/tex]

[tex]JD=\sqrt{136}\ units[/tex]

[tex]JD=2\sqrt{34}\ units[/tex]

step 3

Find the length KD

In the right triangle KDG

Applying the Pythagoras Theorem

[tex]GD^{2} =KD^{2} +GK^{2}[/tex]

we have

[tex]GD=FD=19\ units[/tex]

[tex]GK=17\ units[/tex]

substitute the values and solve for KD

[tex]19^{2} =KD^{2} +17^{2}[/tex]

[tex]KD^{2}=19^{2}-17^{2}[/tex]

[tex]KD^{2}=72[/tex]

[tex]KD=\sqrt{72}\ units[/tex]

[tex]KD=6\sqrt{2}\ units[/tex]

Answer:

5^2

Step-by-step explanation:

Answer:

x = ±sqrt(26)

Step-by-step explanation:

x^2 = 26

Take the square root of each side

sqrt(x^2) = sqrt(26)

x = ±sqrt(26)

This cannot be simplified any further

to figure out the percentage, you’ll have to do 78 divided by 120 (because it’s 78/120) which is 0.65. now, you’ll have to multiply by 100, so her percentage is 65%.

Answer:

b I am sure because to x the number to the the probability and we don't know which ]h one so there is a 50% 50% chance for both.

Step-by-step explanation:

Answer:

Option B - [tex]P(A)\cdot P(B)[/tex]                          

Step-by-step explanation:

Given : The probability for success of an event is P(A), and the probability of success of a second event is P(B).

To find : What is the  probability of both events occurring, in that order?        

Solution :

The probability for success of an event is P(A).

The probability of success of a second event is P(B).    

As the events are independent so the probability of both events occurring, in that order is [tex]P(A)\cdot P(B)[/tex]

Therefore, Option C is correct.

The probability of both events occurring, in that order is [tex]P(A)\cdot P(B)[/tex]                          

Check the picture below.

so if we just find its vertex, we know how many feet it went up by its y-coordinate.

[tex]\bf h=64t-32t^2\implies h=-32t^2+64t+0 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ h=\stackrel{\stackrel{a}{\downarrow }}{-32}t^2\stackrel{\stackrel{b}{\downarrow }}{+64}t\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{64}{2(-32)}~~,~~0-\cfrac{64^2}{4(-32)} \right)\implies \left( \stackrel{\stackrel{\textit{how many}}{\textit{seconds}}}{1}~~,~~\stackrel{\stackrel{\textit{how many feet}}{\textit{it went up}}}{32} \right)[/tex]

Answer:

1666.67

Step-by-step explanation:

6ft.......................................8ft

1250ft................................xft

1250/6 = x/8

x = 1250/6*8

Answer:

25 in.

Step-by-step explanation:

Since we know geckos are 2/5 of an Iguana's length, we need to find the length of 1/5.

So if 10 in. is 2/5, 5 in, is 1/5.

Now, since the denominator is 5, we multiply 5 in. by 5.

5x5=25 in.

25 in. is the length of an average Iguana.

the hypotenuse is always the line directly in front of the right angle.

so the answer is 2) mn

Answer:

Option a.

Step-by-step explanation:

An ordered pair is written in the following form: (x, y). It means, first the independent variable and secondly the dependent variable.

In the diagram, the first circle represents the independent variable, and the second circle represents the dependent variable.

Then, the set of ordered pairs is (From left to right)

(-3, 3) ; (0, 0) ; (2, -2).

So the correct option is option a.

Answer:

The correct answer is option a

(-3, 3), (0, 0) and (2, -2)

Step-by-step explanation:

From the figure we can see three points are marked.

Each points can be written as ordered pair (x, y)

From left to right we can write,

the three pots are,

(-3, 3), (0, 0) and (2, -2)

Therefore the correct answer is option a

Answer: 5

Step-by-step explanation: If Mike Only has $100 To Spend On Games, He Can Buy 5 Games Because We Multiply 20 By 5 To Get A Product Of 100.

Therefore, Mike Can Afford 5 Games With No Money Left.

Have A Fantastic Day!

Be Safe,

Eric

Mike can afford to buy 5 $20 games.

To determine how many $20 games Mike can afford to buy with $100, we divide the total amount of money he has by the cost of one game.

Total money Mike has = $100

Cost of one game = $20

Number of games Mike can afford = Total money / Cost of one game

Number of games Mike can afford = $100 / $20

Number of games Mike can afford = 5

Therefore, Mike can buy 5 games with $100.

Answer:

Exponent of 5

Step-by-step explanation:

Because there are 5 6s it would be 6 to the exponent of 5.

Given, 6×6×6×6×6

Have to write in Exponent form

So....Its given that there are 5 six so..we can write is as

[tex] = {6}^{5} [/tex]

Answer:

Point D lies on the circumference of the unit circle

Step-by-step explanation:

Use the unit circle formula x^2 + y^2 = 1 plug the possible answer choices into this formula and determine  which one is true.

D(3/4,root 7/4) lies on the circumference of the unit circle , Option D is the correct answer.

A unit circle is a circle with 1 unit radius and the center is at origin .

The equation of a unit circle is x ² + y² =1

The points given are

A(4,3) B(1/2,1/5) C(0.6,0.7) D(3/4,root 7/4).

To check if they lie on the circumference of a unit circle , They have to be substituted in the equation of unit circle.

Point A

4 ² + 3² =1

16+ 9 ≠ 1

Point B

(1/2) ² + (1/5)² =1

(1/4) + (1/25) = 1

29/100  ≠ 1

Point C

(0.6) ² + (0.7)² =1

0.85 ≠ 1

Point D

(3/4)² + (√7/4)² =1

(9/16) + (7/16) = 1

1 = 1

Therefore , Option D,  D(3/4,root 7/4) lies on the circumference of the unit circle.

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