Every Friday for 6 weeks, Jason withdrew $20 from his savings account. How much did he withdraw in all?

Answer:

C = 17

Explanation:

C is the square root of a^2 + b^2

8^2 + 15^2

64 + 225

289

the square root of 289 is 17

Answer: 3.6

Step-by-step explanation:

18/5 simplified equals 3 3/5.

3/5 = 0.6

3 + 0.6 = 3.6

In conclusion, the answer is 3.6.

Hope this helps!

Step-by-step explanation:

4x + 8 + x - 2 - 3x

= 2x + 6

= 2(5) + 6

= 16.

Answer:

4*5 + 8 + 5 - 2 - 3*5 = 20 + 8 + 5 - 2 - 15 = 28 + 5 - 2 - 15 = 33 - 2 - 15 = 31 - 15 = 16

Answer:

here are 3 times as many boys as girls in a room. If 4 boys and four girls leave the room, then there will be 5 times as many boys as girls in the room. In total, how many boys and girls were in the room originally?

8 girls

24 boys

There were 24 boys and 8 girls in the room originally.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

Given that there are 3 times as many boys as girls in a room.

If 4 boys and 4 girls leave the room, then there will be 5 times as many boys as girls in the room.

Let's assume the number of boys would be b

And the number of girls would be g

According to the given condition, the required solution would be as:

b = 3g               ....(i)

b - 4 = 5 (g - 4) ....(ii)

Substitute the value of b = 3g in equation (ii), and solve for g

3g - 4 = 5 (g - 4)

3g - 4 = 5g - 20

5g - 3g = 20 - 4

2g = 16

g = 8

Substitute the value of g = 8 in equation (i), and solve for b

b = 3 × 8

b = 24

Hence, there are 24 boys and 8 girls in the room.

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Answer:

First 0.1 miles: 32 seconds

Last 0.1 miles: 28 seconds

Step-by-step explanation:

The car traveled 0.2 mile in 60 seconds.

The last 0.05 miles were done in 12 seconds.

Then the first 0.2 - 0.05 = 0.15 miles were done in 60 - 12 =  48 seconds. The speed of the car was: 0.15/48 = 0.003125 mi/s

At this speed it takes 0.1/0.003125 = 32 s to travel the first 0.1 mile.

In the second 0.1 mile, 0.05 miles are done at the same speed than before. It takes 0.05/0.003125 = 16 s, the next 0.05 miles were traveled in 12 seconds,  making a total of 16+12 = 28 seconds

Answer:

the pic has the answer

Explanation:

The relationship between the sine and cosine of ∠A and the sine and cosine of ∠B for given angles, sin(A) =  cos(B) and

sin(B) = cos(A)

"Two or more angles are complementary if their sum is 90° "

For given question,

∠A and ∠B are complementary angles.

⇒ ∠A + ∠B = 180°

For ∠A = 15° the measure of ∠B is 75°

For ∠A = 30° the measure of ∠B is 60°

For ∠A = 45° the measure of ∠B is 45°

For ∠A = 60° the measure of ∠B is 30°

For ∠A = 75° the measure of ∠B is 15°

So, the sine and cosine of ∠A and ∠B would be,

∠A      ∠B      sin(A)    cos(A)     sin(B)     cos(B)

15°       75°     0.25       0.97       0.97       0.26

30°      60°     0.5         0.87       0.87        0.5

45°      45°     0.71         0.71        0.71        0.71

60°      30°     0.87        0.5         0.5         0.87

75°      15°      0.97        0.26       0.26       0.97

From above records, we can observe that  sin(A) =  cos(B) and

sin(B) = cos(A)

Therefore, the relationship between the sine and cosine of ∠A and the sine and cosine of ∠B for given angles, sin(A) =  cos(B) and

sin(B) = cos(A)

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Answer:

the volume of a hemisphere with a radius of 5 feet is 261.67 cubic feet.

Step-by-step explanation:

Given :

Marcus bought a booklet of tickets to use at the amusement park.

He used 50% of the tickets on rides, 13% of the tickets on video games, and the rest of the tickets in the batting cage.

To Find :

Marcus says he used 10% of the tickets in the batting cage.

Solution :

We know sum of all the percentage should be equal to 100.

So,

( % used on rides ) + ( % used on video game ) + ( % used in batting cage ) = 100

Let, % of ticket spend on batting cage is x.

50 + 13 + x = 100

x = 100 - ( 50 + 13 )

x = 37%

So, Marcus used 37% in batting cage.

Therefore, the statement by Marcus that he use 10% of the ticket in the cage is wrong.

No, i do not agree. To find this out, we will have to convert all of them into either decimals or percents. Let's convert these all into percents. A percent means 'out of 100', so if we add the percents all together, they should equal to 100. The rides is 50%. To convert 1/3 into a percent, divide the numerator by the denominator. You will get a decimal, so then multiply that by 100 or move the decimal two places to the right. So, 1 divided by 3 is equal to approximately 33%. Let's add 50 and 33 together. The total is 83%. So, like I said, a percent is out of 100. Subtract 83 out of 100 and you will get 17. So, the remaining percent has to be 17 percent, not 10%.

Hope it helps :)

Answer:

He would expect to see the blue marble 40 times. Hope this helps!

Step-by-step explanation:

Answer:

40 blue marbles

Step-by-step explanation:

You would find the probability of a blue marble

2 blue/ ( 5+3+2) total

2 divided by 10 is 1/5

Then, you multiply 200 and 1/5 together, which would equal 40.

Quinn should expect to pick 40 blue marbles.

During the 1920s, buying stock on credit was called buying on margin or margin trading. Hence, option C is correct.

An act of buying shares or securities of a company without the actual need of having funds in the account, is known as margin trading. A credit facility is granted by the broker to the trader to do margin trading.

In case the trader generates a profit while buying on margin, he or she would get only an amount of the profit made by him or her over such trade. In case of losses, the balance amount became the liability of the trader.

Hence, option C states about margin trading.

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Step-by-step explanation:

2.

(13y)° and (8x+y)° are supplementary angles on a straight line therefore:

13y+8x+y=180°

14y+8x=180°——equation 1

Again,

(13y)° and (20x+3y)° are corresponding angles therefore are equal so:

13y=20x+3y

13y-3y-20x=0

10y-20x=0——equation 2

Now we find the value of x and y using the system of equations

Thus,we solve :

14y+8x=180°

10y-20x=0

Solving them,x=5 and y=10

3.We use the same approach for this

3(x+y)° and 5x are corresponding angles and are equal therefore:

3x+3y=5x

3x-5x+3y=0

-2x+3y=0——equation 1

Again,(5x)° and (4x-9)° are supplementary angles on a straight line so:

5x+4x-9=180

9x-9=180°

9x=180+9

9x=189°

x=21

Plug in the value of x into equation 1 for y

-2x+3y=0

-2(21)+3y=0

-42+3y=0

3y=42

y=42/3=14

So x is 21 and y is 14

Answer:

C

Step-by-step explanation:

(280 - 8)/2 = Athletic booster tickets

(280-8)/2 = (272)/2 = 136

Complete question :

Two neighboring schools use different models for anticipated growth in enrollment: School A has 850 students and predicts an increase of 100 students per year. School B also has 850 students, but predicts an increase of 8% per year. Compare the models.

Answer:

y = 850 + 100x

y = 850 + 1.08^x

Step-by-step explanation:

SCHOOL A:

Initial Number of students = 850

Increase per year = 100

SCHOOL B:

Initial Number of students = 850

Increase per year = 8%

Let the total number of students after x years = y

Hence,

SCHOOL A:

y = initial population + 100 * Number of years

y = 850 + 100x

SCHOOL B:

Using the growth rate relation

y = initial population + (1 + rate per year)^number of years

y = 850 + (1 + 0.08)^x

y = 850 + 1.08^x

Given :

Two equations :

y = t³

x = t + 5

To Find :

Rectangular equation formed by eliminating the parameter.

Solution :

Putting value of t from second equation to first equation.

We get :

[tex]y = ( x-5)^3[/tex]

Also, t from equation first :

[tex]t = \sqrt[3]{y}[/tex]

Putting the value of t and equation two, we get :

[tex]x = \sqrt[3]{y}+5[/tex]

Therefore, rectangular equation is formed by eliminating the parameter is :

y = ( x - 5)³ and x = ∛y + 5 .

The rectangular equation is y = (x - 5)³ which is obtained from the parametric equations y = t³ and x = t + 5 option (3) y = (x - 5)³ is correct.

A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.

The options are:

The parametric equations are:

y = t³

x = t + 5

From the second equation that is x = t + 5

Take the value of t and plug in the equation y = t³:

t = x - 5

y = (x - 5)³

The above equation represents a cubic equation.

Thus, the rectangular equation is y = (x - 5)³ which is obtained from the parametric equations y = t³ and x = t + 5 option (3) y = (x - 5)³ is correct.

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Answer:

3y - 6

Step-by-step explanation:

You basically want to first distribute then combine like terms

3 ( y - 6 + 4 )

Do PEMDAS

3*y + 3 * -6 + 3* 4

( This is the distributed part)

3y - 18 + 12

3y - 6

( This is the combing like terms)

Hope this helped!

x=17

[tex]{\boxed{\quad\:\mapsto\rm Firstly\:Let's\:understand\:the\:concept:-}}[/tex]

This is a isosceles triangle. As it is a triangle we can apply sum theory. we have to take the sum of given unknown polynomials as 180° .Then by solving it we can find the value of x.

Given angles

According to sum theory

[tex]{\boxed{\sf The \:sum\:of\:angles=180°}}[/tex]

[tex]\qquad \quad{:}\longmapsto\tt (6x+10)+(x+17)+(4x-34)=180 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 6x+10+x+17+4x-34=180 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 6x+x+4x+10+17-34=180 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 11x-7=180 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 11x=180+7 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 11x=187 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt x=\cancel{\dfrac{187}{11}}[/tex]

[tex]\qquad \quad{:}\longmapsto\tt x=17[/tex]

[tex]\therefore\sf The \:value\:of\:x\;is\:17.[/tex]

Hi!

So your grade depends on how much the 2 scores are weighted.

BUT, if the 42 and 100 have equal weights of 50/50, you will have a 71% C

If the 100 isn't weighted that much, I'd guess it'd be around 75/25, your grade will be a 56% F

Try to get as many high grades or extra credits as possible!

Please mark brainliest and ask more if you need help!

Answer:

b-g is 3

g-e is 6

Step-by-step explanation:

good luck, have a good day, can i get brainliest

GE = 6 and BG = 3

The point in which the three medians of the triangle intersect is known as the centroid of a triangle.

Given that, G is the centroid and BE = 9

The centroid point G divides the segment BE in the ratio 2:1, such that GE is twice the length of BE,

BG = 1/3*BE

BG = 1/3*9 = 3

And,

GE = 2/3*9 = 6

Hence, GE = 6 and BG = 3

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Answer:

i cant see te pic that good

Step-by-step explanation:

Answer:

The answer is 7, 8 and 9. The Two-digit numbers are: ab, ac, ba, bc, ca, cb

The Sum of them is: 10a + b + 10a + c + 10b + a + 10b + c + 10c + a + 10c + b = 528

22a + 22b + 22c = 528

a + b + c = 528/22

a + b + c = 24      The only option of three different digits with the sum of 24 is 7, 8 and 9.

Hope this helps, stay safe, and merry christmas!

Answer:

I tried but I kept getting weird numbers

Step-by-step explanation:

Answer: 1. Not linear. 2. Linear. 3. Linear 4. Not Linear. 5. Linear.

Step-by-step explanation:

Answer:

the next fraction is 12/15.

Step-by-step explanation:

if you convert each fraction to have a denominator of 15, the numerators will be 4, 6, 8, and 10. the only number that could be next in the sequence is 12

If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

Therefore, it is true.

Answer:

I think C would be 3.25

Step-by-step explanation:

Because if you divide 65/20+3.25 sorry if i'm wrong.

Answer:

A

Step-by-step explanation:

Though i am unable to attach an image of the question here. However, i will do my best to explain quite well.

The densities of the liquids are;

A - 13.6 g/ml

B- 0.8 g/ml

C- 1.0 g/ml

The most dense liquids will be found at the bottom while the least dense liquid is topmost liquid. This implies that A will be found at the bottom followed by C and finally B.

Answer:

There is no solution, y-int of one line is positive

Step-by-step explanation:

There is no solution because there are no shared points between both lines, and the y intercept of the blue line is positive, because it is above the x-axis.

Answer:9342

Step-by-step explanation:

I am smart UwU

Answer:

834*3 + 1058*4 = ___

2,502 + 4,232 = 6,734 feet of wood

Step-by-step explanation:

Answer:

6734 is the answer.

Step-by-step explanation:

834 x 3 = 2502.

1058 x 4 = 4232.

2502 + 4232 = 6734.