Ted weighs twice as much as Julie. Mike weighs three times as much as Julie. Together, Ted, Mike, and Julie weigh 210 lbs. What is the weight of each person?

Julie weighs ___ a0 pounds, Ted weighs ___ a1 pounds, and Mike weighs ___ a2 pounds.

Answers

Answer 1

The answer to this question is that Julie weighs 210lbs, Ted weighs 420 (210 multiplied by 2 is 420). Mike weighs 630 (210 multiplied by 3 is 630). So, it would be "Julie weighs 210a0 pounds, Ted weighs 420 a1 pounds, and Mike weighs 630a2 pounds."

I hope this answer helps!

"Stay Brainly and stay proud!" - Zalgo

Answer 2

Answer:

Julie=35 lbs, Ted= 70 lbs, and Mike=105 lbs

Step-by-step explanation:

Julie=x ted=2x mike=3x

The sum of their weight all together is 210 pounds

Combine the x's

6x=210

Divide both sides by 6 to get 1x (Julies weight)

6x/6 = 210/6

1x= 35 (Julie weighs 35 lbs)

35 x 2= 70 ( Ted weighs 70 lbs)

35 x 3= 105 ( Mike weighs 105 lbs)

- Hope this helps!


Related Questions

guys help me to solve these questions please​

Answers

Here’s the solution for the first one.

Answer:

Step-by-step explanation:

The first one I would factor the difference of cubes on top and then cancel a common factor this would end up giving you sin^2(A/2)+sin(A/2)cos(A/2)+cos^2(A/2)

(the 1st+3rd term here actually equals 1)

now you have

1+sin(A/2)cos(A/2)

1+1/2*2sin(A/2)cos(A/2)    (this step was just to help show how I'm going to use the next identity)

1+1/2sin(A)                    (double angle identity for sine)

hint for the next one: I would multiply top and bottom by bottom's conjugate first

In f(x) = 2x^2-8x-10 the y intercept is at and the x intercepts are (-1,0) and

Answers

Answer:

see explanation

Step-by-step explanation:

To find the y- intercept let x = 0

f(0) = 0² - 8(0) - 10 = 0 - 0 - 10 = - 10

The y- intercept is (0, - 10)

To find the x- intercepts let f(x) = 0, that is

2x² - 8x - 10 = 0 ( divide through by 2 )

x² - 4x - 5 = 0

Consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (- 4)

The factors are - 5 and + 1, since

- 5 × 1 = - 5 and - 5 + 1 = - 4, hence

(x - 5)(x + 1) = 0

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 1 = 0 ⇒ x = - 1

The x- intercepts are (- 1, 0) and (5, 0)

Final answer

The y-intercept of the function f(x) = 2x²8x-10 is at (0, -10), and the x-intercepts are (-1,0) and (5,0).

To determine the y-intercept and the other x-intercept of the quadratic function f(x) = 2x²-8x-10, we can use the standard forms and properties of quadratic equations.

The y-intercept occurs when x=0. Substituting x with 0 in the function, we get f(0) = 2(0)²- 8(0) - 10 = -10. Thus, the y-intercept is at (0, -10).

To find the other x-intercept given one of them as (-1,0), we can factor the quadratic equation, or use the quadratic formula. Factoring gives us:

(2x + 2)(x - 5) = 0

2x + 2 = 0 would give us an x-intercept at x = -1, which we already have. x - 5 = 0 gives us the other x-intercept at x = 5. So, the other x-intercept is at (5,0).

The rectangle has rotational symmetry of order?

Answers

Answer:

A rectangle has rotational symmetry of order 2.

Step-by-step explanation:

The rotational symmetry involves rotation.

The rotational symmetry of order is the number of times a shape is mapped onto itself during a 360° rotation.

A rectangle has rotational symmetry of order 2.

When a rectangle is rotated on 180° or 360° it is mapped onto itself.

Answer:

2

180 & 360

Step-by-step explanation:

Do 9, 12, 14 form a right triangle

Answers

Answer:

No

Step-by-step explanation:

To determine if the 3 sides form a right triangle.

Use the converse theorem of Pythagoras.

If the square of the longest side is equal to the sum of the squares of the other two sides then the triangle is right,

longest side = 14 and 14 ² = 196

9² + 12² = 81 + 144 = 225

Since 196 ≠ 225 the triangle is not right

Foure ABCD is a parallelogram
What is the value of x


please help

Answers

Answer:

x = 7

Step-by-step explanation:

The property of a parallelogram is the opposite sides are congruent, hence

AD = BC ← substitute values

5x + 3 = 38 ( subtract 3 from both sides )

5x = 35 ( divide both sides by 5 )

x = 7

Given the following: MAB = mBC = mCD.
In circle F, what is the measure of
A. 7.5°

B. 30°

C. 15°

D. 45°

Answers

Answer:

The correct answer is option B.  30°

Step-by-step explanation:

Points to remember

The central angle of an arc is double the value of arc subtended on the the other part of the circle

From the figure we can see a circle with center F.

It is given that, mAB = mBC = mCD, means that, central angles of all these three arcs are equal.

To find the m<AFB

Fro the figure we get,m<CED = 15°

Therefore central angle of arc CD = 30°

So m<AFB = 30°

Consider the system:
y = 3x + 5
y = ax + b
What values for a and b make the system
inconsistent? What values for a and b make the
system consistent and dependent? Explain

Answers

Answer:

An exponent value in a would make the system inconsistent because it will either gain or lose height over time.

Any real number without an exponent value will make the system consitent.

Any infintite/repeating number will make the system both consistent and inconsistent. it is consisent because it will stay at a constant rate but also inconsistent because it is repeating and will never end.

Answer:

When a = 3 and b ≠ 5, the system will be inconsistent because the lines will be parallel. When a = 3 and b = 5, the system will be consistent and dependent because they represent the same line.

POINTS! APLENTY!
A cone with a base radius of 8 cm fits inside a sphere of radius 10 cm. Find the perpendicular height of the cone.
Please Explain!
Thank you very much for your help!

Answers

Hope this helps! If you have any questions, I can help!

Each side length of a triangle is 4 cm. What type of triangle is it?

acute
right
equilateral
scalene

Answers

Answer:

equilateral

Explanation:

each side of the triangle had the same length, which means each side is equal.
It will be an Acute triangle

The function g(x) is defined as shown.
x-1, -2 g(x) = 2x+3, -1 6-X, X23

Answers

Answer:

B) 3

Step-by-step explanation:

The parts on the right side are to figure out which one to use so since g(3) then you plug in 3 to the equations on the right to see which one is true. The one that it matches into then plug in 3 for x in the equation directly to the left of it:

3 ≥ 3 so 6 - (3) = 3

The following dot plot summarizes the number of vitamins Omur's mom took each day since she started her new diet. Each dot represents one day.

Based on this data, what is a reasonable estimate of the probability that Omur's mom takes exactly 6 vitamins tomorrow?
CHOOSE 1 ANSWER:

A.) 18%

B.) 23%

C.) 27%

D.) 38%

Please help me on this question and answer too.​C

Answers

Answer:  C) 27%

Step-by-step explanation:

There are 3 dots (vitamins) on six and 11 dots (vitamins) total.

The probability is [tex]\dfrac{successes(vitamins\ on\ six)}{total\ possible\ outcomes(all\ vitamins)}=\dfrac{3}{11}=\large\boxed{27\%}[/tex]

Answer:

Option: C is the correct answer.

                      C.  27%

Step-by-step explanation:

The dot plot can be reoresented in tabular form as follows:

Number of vitamins          Number of days

          1                                         2

          3                                         1

          4                                         2

          5                                         1

          6                                         3    

          7                                          1

          9                                          1  

Hence, the total number of days= 2+1+2+1+3+1+1=11

Also, the number of days in which Omur's mother took 6 vitamins= 3

( Since there are 3 dots over 6)

Hence, the estimated probability that Omur's mom take exactly 6 vitamins tomorrow is:

       [tex]=\dfrac{3}{11}\times 100\\\\=27.27\%\\\\\text{which\ is\ approximately}\\\\=27\%[/tex]      

Select the correct answer
Which table shows a proportional relationship between x and y?
A

Answers

Answer:

C

Step-by-step explanation:

You are looking for when y divided by x is the same number per each row.

Choice A.. 4/2 doesn't equal 9/4 so not choice A

Choice B.. 4/3 doesn't equal 16/9 so not choice B

Choice C works because 12/4 = 15/5 = 18/ 6 ... all of these equal 3 so choice C is an answer

Choice D.. 4/1  doesn't equal 15/3 so not choice D

Choice C is the only one where you have y/x is the same per each row

how many solutions are there?

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

There is a solution, but not one, there is an infinite amount of them.

Thats why if you were to graph this it'd just be a line continuously going up

Konichiwa~! My name is Zalgo and I am here to help you out on the marvelous day! The answer to your question is Answer Choice C;Infinitely Many Solutions.

I hope that this helps! :D

"Stay Brainly and stay proud!" - Zalgo

(By the way, do you think you could give me Brainliest? I'd really appreciate it! Have a nice day! :3)

What is the volume of the cylinder shown? (Use 3.14 for pi.)

1,978.2 in^3
20,771.1 in^3
14,836.5 in^3
1,413 in^3

Answers

Answer:

14,836.5 in^3

Step-by-step explanation:

The volume of a cylinder is given by the equation (πr^2)h where r stands for radius and h stands for height

The radius of the cylinder is 15 in

The height of the cylinder is 21 in

Volume=15×15×21×π

=14836.5 in^3

What is the explicit rule for the arithmetic
sequence on which the series is based?

Answers

Answer:

12,6

Step-by-step explanation:

The explicit rule for the arithmetic sequence on which the series is based is an = 12 + (n - 1)  * 6

How to determine the explicit rule of a sequence?

Series are sum of sequences. The nth term of an arithmetic series is expressed as:

an = a + (n - 1)d

where

a is the first term = 12

n is the number of terms

d is the common difference = 18 - 12 = 24 - 18 = 6

Substitute

an = 12 + (n - 1)  * 6

Hence the explicit rule for the arithmetic sequence on which the series is based is an = 12 + (n - 1)  * 6

Learn more on explicit rule here: https://brainly.com/question/2059043

49xy +34y - 72z. determine the degree of the polynomial​

Answers

Answer:

The degree of the polynomial is 2

Step-by-step explanation:

The absolute degree is obtained with the sum of the exponents of all the variables of each term. The terms are the elements of the polynomial with numbers and letters separated by addition or subtraction.

A boy has as many sisters as brothers, but each sister has only half as many sisters as brothers.

How many brothers and sisters are there in the family?

Answers

Answer:

There are four sisters and three brothers in the family.

Step-by-step explanation:

Each brother has only half as many brothers as sisters.

1 boy = 4 sisters and 3 brothers

1 girl = 3 sisters and four brothers

Be sure to count the sisters and brothers in total and in terms of their own number of siblings.

1:

Tickets for the Battle of the Bands went on sale this week. On the first day of sales, 45 adult tickets and 20 student tickets were sold for a total of $875. On the last day of ticket sales, 25 adult tickets and 40 student tickets were sold for a total of $775. Let x represent the cost for each adult ticket and let y represent the cost for each student ticket. Write a system of equations to model this scenario and solve that system to determine the cost of each adult ticket.

​First Day of Sales Equation:


​Last Day of Sales Equation:


​What is the cost of each adult ticket?
dollars.

Answers

Answer:

First day: 45x +20y = 875

Second day: 25x + 40y = 775

Adult ticket price: $15

Step-by-step explanation:

See paper attached. (:

The system of equations that model this scenario is:

45x + 20y = $875 equation 1

25x + 40y = $775 equation 2

The price of adults tickets is $15. The price of student's ticket is $10.

How many adults ticket were sold?

In order to determine this value, multiplot equation 1 by 2 and subtract the resulting equation from equation 2.

90x + 40y = 1750 equation 3

975 = 65x

x = 15

How many students ticket were sold?

Substitute for x in equation 1

45(15) + 20 = 875

675 + 20y = 875

y = (875 - 675) / 20

y = 10

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

There are 20 students in the high school glee club. They need to pick four students to serve as
the student representatives for an upcoming trip. How many ways are there to choose the
representatives?

Answers

Answer:

4845 ways

Step-by-step explanation:

To solve this problem we use the formula of combinations

[tex]nCr=\frac{n!}{r!(n-r)!}[/tex]

Where n is the total number of students that can be chosen and you choose r from them.

So

[tex]n = 20\\r = 4[/tex]

Note that in this case the order in which the 4 students are chosen does not matter.

Then

[tex]20C4=\frac{20!}{4!(20-4)!}[/tex]

[tex]20C4=\frac{20!}{4!*16!}=4845\ ways[/tex]

Answer:

4845

Step-by-step explanation:

Total number of students : 20

Students to be picked : 4

Does order matter? : No

Use combination formula (see attached)

find the equation in slope intercept form parallel to y=5x + 2 that pases through (-6,-1)

Answers

Answer:

y = 5x + 29

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 2 is in this form with slope m = 5

• Parallel lines have equal slopes, hence

y = 5x + c ← is the partial equation of the parallel line

To find c substitute (- 6, - 1) into the partial equation

- 1 = - 30 + c ⇒ c = - 1 + 30 = 29, thus

y = 5x + 29 ← in slope- intercept form

Solve |5-8x| -7 < 8

Answers

Answer:8

Step-by-step explanation:

Solving the given equation we get  [tex]\[ -\frac{5}{4} < x < \frac{5}{2} \][/tex]

1. We start by isolating the absolute value expression by adding 7 to both sides of the inequality.

2. Then, we split the inequality into two cases based on the inner expression of the absolute value: when [tex]\( 5 - 8x \)[/tex] is non-negative and when it is negative.

3. Solving each case separately, we find the range of values for [tex]\( x \).[/tex]

4. Finally, we combine the solutions from both cases to get the final solution: [tex]\( -\frac{5}{4} < x < \frac{5}{2} \).[/tex]This means that[tex]\( x \)[/tex]lies between -5/4 and 5/2.

To solve the inequality[tex]\( |5 - 8x| - 7 < 8 \)[/tex], we'll first isolate the absolute value expression and then solve for [tex]\( x \).[/tex]

1. Add 7 to both sides:

[tex]\[ |5 - 8x| < 15 \][/tex]

2. Now, we'll split the inequality into two cases based on the inner expression of the absolute value:

Case 1: [tex]\( 5 - 8x \geq 0 \)[/tex]

[tex]\[ 5 - 8x < 15 \][/tex]

[tex]\[ -8x < 10 \][/tex]

[tex]\[ x > \frac{10}{-8} \][/tex]

[tex]\[ x > -\frac{5}{4} \][/tex]

Case 2:[tex]\( 5 - 8x < 0 \)[/tex]

[tex]\[ -(5 - 8x) < 15 \][/tex]

[tex]\[ -5 + 8x < 15 \][/tex]

[tex]\[ 8x < 20 \][/tex]

[tex]\[ x < \frac{20}{8} \][/tex]

[tex]\[ x < \frac{5}{2} \][/tex]

So, we have two sets of solutions:

Case 1: [tex]\( x > -\frac{5}{4} \)[/tex]

Case 2:[tex]\( x < \frac{5}{2} \)[/tex]

Combining these two cases, we get:

[tex]\[ -\frac{5}{4} < x < \frac{5}{2} \][/tex]

1. We start by isolating the absolute value expression by adding 7 to both sides of the inequality.

2. Then, we split the inequality into two cases based on the inner expression of the absolute value: when \( 5 - 8x \) is non-negative and when it is negative.

3. Solving each case separately, we find the range of values for \( x \).

4. Finally, we combine the solutions from both cases to get the final solution: [tex]\( -\frac{5}{4} < x < \frac{5}{2} \).[/tex] This means that [tex]\( x \)[/tex] lies between -5/4 and 5/2.

Complete question

Solve |5-8x| -7 < 8

Landon was taking a math test. He finished 1/2 of the test in 3/5 of an hour. How much of the test will he have done in one hour if he keeps the same pace?

Answers

Answer:

[tex]\frac{5}{6}\ of\ the \ test[/tex]

Step-by-step explanation:

we know that

Landon finished 1/2 of the test in 3/5 of an hour

so

by proportion

Find out how much of the test will he have done in one hour

[tex]\frac{(1/2)}{(3/5)}\frac{test}{hours} =\frac{x}{1}\frac{test}{hour}\\ \\x=(1/2)*(5/3)\\ \\x=\frac{5}{6}\ of\ the \ test[/tex]

Answer:

5/6

Step-by-step explanation:

you just do it.

Find x and y in 3^(2x-y)=1 and 16^x/4=8^(3x-y)​

Answers

the solutions are (x = 2) and (y = 4).

To find the values of x and y in the given equations, let's solve them step by step:

1. (3^{2x-y} = 1)

For any nonzero number raised to the power of 0, the result is always 1. Therefore, we can rewrite the equation as:

[2x - y = 0]

Now, we have one equation in terms of (x) and (y).

2.[tex]\( \frac{16^x}{4} = 8^{3x-y} \)[/tex]

We'll simplify the left side first:

[tex]\[ \frac{16^x}{4} = \frac{(4^2)^x}{4} = \frac{4^{2x}}{4} = 4^{2x-1} \][/tex]

Now, the equation becomes:

[4^{2x-1} = 8^{3x-y}]

We know that (8 = 2^3), so we can rewrite the right side of the equation in terms of 2:

[4^{2x-1} = (2^3)^{3x-y} = 2^{9x-3y}]

Now, we have:

[4^{2x-1} = 2^{9x-3y}]

Since (4 = 2^2), we can rewrite the left side as:

[ (2^2)^{2x-1} = 2^{4x-2} ]

So, the equation becomes:

[2^{4x-2} = 2^{9x-3y}]

Since the bases are the same, the exponents must be equal:

[4x - 2 = 9x - 3y]

Now, we have two equations:

[2x - y = 0]

[4x - 2 = 9x - 3y]

From the first equation, we can solve for (y):

[y = 2x]

Substituting (y = 2x) into the second equation:

[4x - 2 = 9x - 3(2x)]

[4x - 2 = 9x - 6x]

[4x - 2 = 3x]

[x = 2]

Now, substituting (x = 2) into the first equation to find (y):

[2(2) - y = 0]

[4 - y = 0]

[y = 4]

So, the solutions are (x = 2) and (y = 4).

Grace and her dad are planning to attend to State Fair. an adult ticket is $15 the price of an adult ticket is half the price of a student ticket plus $8. write an equation to determine how much grace will pay for the student ticket​

Answers

Answer:

Equation:

[tex]15=\dfrac{1}{2}x+8[/tex]

Student ticket price = $14

Step-by-step explanation:

An adult ticket = $15

Let a student ticket = $x

An adult ticket is half the price of a student ticket plus $8, then an adult ticket

[tex]=\$\left(\dfrac{1}{2}x+8\right)[/tex]

Equate the prices for the adult ticket:

[tex]15=\dfrac{1}{2}x+8[/tex]

Subtract 8 from both sides:

[tex]15-8=\dfrac{1}{2}x+8-8\\ \\7=\dfrac{1}{2}x[/tex]

Multiply this equation by 2:

[tex]7\cdot 2=x\\ \\x=\$14[/tex]

Answer:

(1/2)x + 8 = 15

Step-by-step explanation:

What is the average rate of change for this function for the interval from x 3 to x 5?

Answers

Answer:

49

Step-by-step explanation:

The average rate of change is the ratio of the CHANGE IN Y COORDINATE and CHANGE IN X COORDINATE

In this table we are asked to determine the change in rate from x= 3 to x=5

at x =3 , y = 27

at x=5 , y=125

Hence

Change in y = 125-27 = 98

Change in x = 5-3 = 2

Hence Average Rate of Change = 98/2 = 49

Answer = 49

I need help fast !!!

Answers

The answer is D, that is negative

Answer:

D

Step-by-step explanation:

By definition:

rational number = fraction or decimals that are non-whole numbers

negative = well..... negative numbers have a minus (-) in front of them.

Looking at the options, only D has a fraction that has a (-).

A stock has a 25% probability of increasing by $10 and a 75% probability of decreaing by $5. What is the stocks expected increase or decrease?
Please help me!!!!

Answers

Step-by-step explanation:

The expected value is the sum of each probability times the value.

E = 0.25 (10) + 0.75 (-5)

E = -1.25

The stock is expected to decrease by $1.25.

Consider the following sequence 24,18,..
Assuming the sequence is geometric,
write the next three terms.
24, 18,
b.
Write an explicit equation
representing the sequence above.

Answers

Answer:

see explanation

Step-by-step explanation:

Since the sequence is geometric then the common ratio (r) is

r = [tex]\frac{18}{24}[/tex] = [tex]\frac{3}{4}[/tex] = 0.75

To find the next term in the sequence, multiply the previous term by r

The next 3 terms are

18 × 0.75 = 13.5

13.5 × 0.75 = 10.125

10.125 × 0.75 = 7.59375

The n th term equation of a geometric sequence is

[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]

where a is the first term, that is a = 24, hence

[tex]a_{n}[/tex] = 24[tex](0.75)^{n-1}[/tex]

guys/girls help what is 30x1= and the times it by fish and eat it and tell me what u get

Answers

Answer:

you cant do that but the answer would be 0

Step-by-step explanation:

because if you eat something it would be gone in our tummy

Which are the solutions of the quadratic equation?
x2 = 7x + 4

Answers

Step-by-step explanation:

[tex]x {}^{2} = 7x + 4[/tex]

It can also be written as:-

[tex]x {}^{2} - 7x - 4 = 0[/tex]

Now, here a=1, b= -7 and c = -4

Now by quadratic formula,

[tex]d = b {}^{2} - 4ac[/tex]

Calculate d which is

[tex] \sqrt{65} [/tex]

Now, the roots will be:-

[tex]x = ( - b + \sqrt{d} ) \div 2a[/tex]

and hence it will become:-

[tex]x = (7 + \sqrt{65} ) \div 2[/tex]

and

[tex] x = (7 - \sqrt{65} ) \div 2[/tex]

Answer: third option.

Step-by-step explanation:

Move the [tex]7x[/tex] and [tex]4[/tex] to the left side of the equation:

[tex]x^2 = 7x+ 4[/tex]

 [tex]x^2 -7x- 4=0[/tex]

Now you need to apply  the Quadratic formula:

[tex]x=\frac{-b\±\sqrt{b^2-4ac} }{2a}[/tex]

In this case you can identify that:

[tex]a=1\\b=-7\\c=-4[/tex]

Then you can substitute values into the Quadratic formula and get the following solutions:

[tex]x=\frac{-(-7)\±\sqrt{(-7)^2-4(1)(-4)} }{2*1}\\\\x_1=\frac{7-\sqrt{65} }{2}\\\\x_2=\frac{7+\sqrt{65} }{2}[/tex]

Other Questions
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