Question 12
The average mass of Jeremy, Mark and Zack is 28 kg. If Jeremy and Zack's average mass is
29kg. How heavy is Mark?​

Answers

Answer 1

Answer:

Mark's mass is 26 kg.

Step-by-step explanation:

Average mass of Jeremy, Mark and Zack = 28kg

Average mass of Jeremy and Zack = 29 kg

Let,

Jeremy's mass = x

Mark's mass = y

Zack's mass = z

Average of three of them = [tex]\frac{Jeremy's mass + Mark's + Zack's}{3}[/tex]

28 = [tex]\frac{x+y+z}{3}\\[/tex]

[tex]28*3 = x+y+z\\84 = x+y+z[/tex]

x+y+z = 84     Eqn 1

[tex]29 =\frac{x+z}{2}\\58=x+z\\[/tex]

x+z = 58    Eqn 2

Now putting value of x+z from Eqn 2 in Eqn 1

x + z + y = 84

58 + y = 84

y = 84 - 58

y = 26

Thereofore,

Mark's mass is 26 kg.


Related Questions

what is the equation in slope-intercept form, of the line prependicular to y= -3/5x +6 that passes through the point with coordinants (12,25)

Answers

Answer:

y=5/3x+5

Step-by-step explanation:

change slope in equation given to the negative reciprocal since the line is perpendicular:

-3/5 to 5/3

put values into point slope form y-y1=m(x-x1)

     y1 = y in the point given, which is 25

     m = slope, which is 5/3

     x1 = x in point given, which is 12

y-25=5/3(x-12)

then solve for slope intercept form y=mx+b to get

y=5/3x+5

What is the measure of 2X?
х
1240
Select the best answer from the choices provided.
A.56
B.66
C.114
D.124

Answers

D. 124. Both sides seem equal to me

14x - 9 + 8x + 3 = 9x - 8 - 3x - 14
One Solution
Infinitely Many Solutions
No Solution

Answers

Answer:

[tex]\large\boxed{\text{One solution.}}[/tex]

14x - 9 + 8x + 3 = 9x - 8 - 3x - 14

Combine like terms:

14x + 8x - 9 + 3 = 9x - 3x - 8 - 14

22x - 6 = 6x - 22

Subtract 6x from both sides:

22x - 6x - 6 = 6x - 6x - 22

16x - 6 = -22

Add 6 to both sides:

16x - 6 + 6 = -22 + 6

16x = -16

Divide both sides by 16:

16x/16 = -16/16

x = -1. There is only one solution to this equation.

Answer:

Step-by-step explanation:

Here you go mate

Step 1

14x-9+8x+3=9x-8-3x-14  Equation/Question

Step 2

14x-9+8x+3=9x-8-3x-14  Simplify

22x-6=6x-22

Step 3

22x-6=6x-22  Subtract 6x from the sides

16x-6=-22

Step 4

16x-6=-22 Subtract -6

16x=-16

Step 5

16x=-16  Divide both sides by 16

-1

Answer

x=-1

One Solution

8 units to the left of five

Answers

it would be -3. have a good day

At a party there are 30 students over age 21 and 20 students under age 21. You choose at random 3 of those over 21 and separately choose at random 2 of those under 21 to interview about attitudes toward alcohol. You have given every student at the party the same chance to be interviewed: what is that chance

Answers

Answer:

10%

Step-by-step explanation:

According to the scenario, given data are as follows:

Students over age 21 = 30

Students under age 21 = 20

Choose student over age 21 = 3

Choose student under age 21 = 2

So, we can calculate chances by using following method,

Chances of student over age 21 = Number of choose student ÷ Total students

= 3 ÷ 30  = 0.10 = 10%

Similarly, Chances of student under age 21 = Number of choose student ÷ Total students

= 2 ÷ 20  = 0.10 = 10%

Hence, in both condition, chances are 10%.

Genie has 100 feet of fence with which to make a rectangular cage for her rabbit. If she uses the wall of her house as one side

Answers

Answer:

-2(15)²+100(15) = -450+1500 = 950 ft²

Step-by-step explanation:

(she has enough fence for this) I hope it's help you

Glenn bought 3 pounds of tomatoes. He used § of them to make sauce.

Make an equation that shows the number of pounds of tomatoes Glenn used for the sauce.

Answers

Answer:i dont kno what number u put

Step-by-step explanation:

10, 7, 4, 1, -2 common ratio

Answers

Answer:

Step-by-step explanation:

common ratio is -3

10-3=7

7-3=4

4-3=1

etc

Answer:

-3

Step-by-step explanation:

common ratio=a2-a1=7-10=-3

roman spent $24 of the $30 in his wallet. What percent represents the fraction of $30 james spent

Answers

It is 80%, because there is 6 dollars left, if that were a percentage it’d be 20%

Need help don’t know what’s to do on this

Answers

Answer:

the first graph since the y intercept is -2 and the line hit -2

Condense:

Ln 40 + 2 ln 1/2 + ln x

Answers

ln(40) + 2ln(1/2) + ln(x)

First, you should take the 2 and put it back in the argument. Since it's a coefficient, when you put it back it in would be a power. That changes 2ln(1/2) to ln(1/2 ^ 2), which is ln(1/4).

ln(40) + ln(1/4) + ln(x)

Then, to add these, we just multiply the arguments, meaning we just have:

ln(40 * 1/4 * x)

Multiply and then we're done.

ln(10x)

Using logarithmic function, the condense of Ln 40 + 2 ln 1/2 + ln x is ln(10x).

What is logarithmic function?

Logarithmic function is function is an " inverse of an exponential function so that the independent variable appears logarithmic function".

According to question,

Ln 40 + 2 ln 1/2 + ln x

Properties of Logarithmic function     [tex]x ln (a) = ln(a^x)[/tex].

Using above properties we can write [tex]2 ln \frac{1}{2}[/tex] [tex]= ln(a^(\frac{1}{2})^2)[/tex] [tex]=ln(a^\frac{1}{4})[/tex].

Properties of Logarithmic function [tex]ln(a) + ln(b) = ln(ab)[/tex]

Using above properties we can write Ln 40 + 2 ln 1/2 + ln x as [tex]ln(40 . \frac{1}{4}.x)[/tex].

= [tex]ln(10x)[/tex]

Hence, Using logarithmic function, the condense of Ln 40 + 2 ln 1/2 + ln x is ln(10x).

Learn more about Logarithmic function here

https://brainly.com/question/20081937

#SPJ2

If the nth term of a number sequence is 3n²
find the first 3 terms and the 10th term.​

Answers

Answer:

Step-by-step explanation:

3(1)^2 = 3

3(2)^2 = 12

3(3)^2 = 27

3(10)^2 = 300

A market research firm studied the waiting time to order drinks during breakfast time at drive-thru in two coffee shop chains. For a sample of 30 locations of chain A, the sample standard deviation of waiting time was 21.2 seconds, and for a sample of 28 locations of chain B, the sample standard deviation was 31.4 seconds. Do these data suggest that the waiting time is more consistent in chain A

Answers

Answer:

Yes

Step-by-step explanation:

Given that :

CHAIN A:

Sample size n1 = 30

Sample standard deviation of waiting time s1 = 21.2

CHAIN B:

Sample size, n2 = 28

Sample standard deviation of waiting time s2 = 31.4

Null hypothesis H0: s1 = s2

Alternative hypothesis H1: s1 < s2

Test statistic ; Ftest : s1² / s2²

Ftest = 21.2^2 / 31.4^2

= 0.4558399

P value from F statistic : = 0.02 (using p value calculator)

Since the pval < 0.05

Then we reject the Null ; Chain A waiting time is more consistent

What is the approximate area of the circle shown below?
A. 11.0 cm2
B. 220 cm2
C. 154 cm2
D.38.5 cm2

Answers

I think C is the answer
the answer to the question is c

A camera store offers a discount of 5% off the cost of photo paper. The discount is applied before tax. A customer buys photo paper that costs $13.50 before tax. Which amount is closest to the cost of the paper with the discount before tax?​

Answers

Answer:

the amount that nearest to the paper cost with the discount but before tax is $12.83

Step-by-step explanation:

The computation of the amount that nearest to the paper cost with the discount but before tax is shown below:

= Cost of a photo paper - discount

= $13.50  - 5% of $13.50

= $13.50 - $0.675

= $12.83

Hence, the amount that nearest to the paper cost with the discount but before tax is $12.83

HELP!!

Construct the graph of the direct proportion y=kx for k= -1

Answers

Simple answer.

-1 x 3 = -3

3 is your x and -3 is your y.

Use the graph to solve the following:
When f(x)=5

Answers

9514 1404 393

Answer:

  x = -3 or 0

Step-by-step explanation:

Locate the horizontal line y = 5. Identify the x-values where the graph crosses that line. They are x = -3  and  x = 0.

Determine the relationship between the two triangles and whether or not they can be proven to be congruent

Answers

Answer:

The two triangles are related by AAS, so the triangles are congruent.

Step-by-step explanation:

Two angles and a non-included side of one triangle are congruent to corresponding two angles and an included side in the other triangle. Therefore, we can conclude that the two triangles are related by the AAS Congruence Criterion. Hence, both triangles congruent to each other.

factor the expression using gcf 69 + 84

Answers

Answer:23/28

Step-by-step explanation:

69 + 84 = 23/28

if you divide it by 3

Leila and Jo are two partners in a business. Leila makes $2 in profits for every $3 that Jo makes. If Jo makes $18 profit on the first item they sell, how much profit does Leila make?

Answers

Answer:

I think the answer is 12

Step-by-step explanation:

Because Jo made $3 6 times so you multiply that by what Lelia makes. So 2 x 6 = 12?

Neeed helpp on this question

Answers

Answer:

y=4x-9                                                                      

Step-by-step explanation:

slope is rise/run

choose one point and do rise/run until you get to the next point

from the graph you can see the y-intercept is -9

Answer:

y=2x+-9

Step-by-step explanation:

this is the answer

Complete the statement.
The polynomial function f(x) = ____.

(x + 2)(x - 2)(x + √3)

(x + 2)(x +√3)(x-√3)

(x - 2)(x + √3)(x-√3)

(x + 2)(x - 2)(x + √3)(x-√3)

Answers

Answer:

B

Step-by-step explanation:

edg 2020

The factorised form of given function f(x) is (x + 2)(x +√3)(x-√3) which is correct answer would be option (B).

What is a polynomial?

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

We have been given the polynomial function:

⇒ x³ + 2x² - 3x -6

Simplify the radical by breaking the radicand up into a product of known factors.

⇒ x³ + 2x² - 3x -6

Add and subtract the second term to the expression and factor by grouping.

⇒ x²(x + 2) - 3(x + 2)

⇒ (x + 2)(x² - 3)

⇒ (x + 2)(x +√3)(x-√3)

Therefore, the factorised form of given function f(x) is (x + 2)(x +√3)(x-√3).

Learn more about the polynomials here:

brainly.com/question/11536910

#SPJ6

The question seems to be incomplete the correct question would be

If a polynomial function is x³ + 2x² - 3x -6 find the factorized form which is f(x)

The polynomial function f(x) = ____.

Brandon answered 21 of the 25 questions on his history test correctly. What decimal represents the fraction of problems he answered incorrectly?

Answers

Answer:

.84

Step-by-step explanation:

21/25 = .84

100 Points help!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

wait so you have t

Step-by-step explanation:

Answer:

I AGREE

Step-by-step explanation:

3 ft
14 ft
16 ft
What is the area of the Japanese garden around the koi pond? Use 3.14 for x
195.74ft?
224.00ft?
252.26ft?
337.04f2

Answers

Answer:

195.74

Step-by-step explanation:

The whole area including the circle is 224

14×16=224

If you don't include the circle it must be less than including it. This is the only option less than 224

PLZZZ HELP

Find the circumference of the circle.

Answers

14 m, 7 plus the other half is 14

Answer:

Step-by-step explanation:

circumference=2[tex]\pi[/tex]r

=2 x 22/7 x 7m

=44m

3х + 5 + 2х
Simplifying variable expressions

Answers

Answer:

3

х

+

5

+

2

х

5

х

+

5

Solution

5

х

+

5

Step-by-step explanation:

Look at the linear equation graphed below. If x=12, what value of y is a solution to this equation?
A)1
B)2
C)27
D)18

Answers

Answer:

B) 2

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

ANSWER ASAP PLEASE!! CORRECT ANSWER WILL GET BRAINLIEST!

Professor Duncan decided to use a curve to grade a recent test. The lowest score out of 100 was 35 and the highest score was 65. He used the function n(g)=1.2g+3, where n(g) is the curved test score and g is the original test score. Which is the range of the curved test scores?

A. 35 to 65
B. 42 to 78
C. 45 to 81
D. 46 to 82

Answers

Answer:

C

Step-by-step explanation:

Hope it helps!!

What is an equation of the line that passes through the points (-4, 2) and
(-8, -3)?

Answers

Do change in y over change in x to find the gradient, so:

-3 - 2 -5
———— = ———— = 5/4 or 1.25
-8 - (-4) -4

Use the equation y - y1 = m(x -x1) , so:

y -2 = 5/4(x - (-4))

y -2 = 5/4(x+4)

y -2= (5/4)x + 5 +5

y = (5/4)x + 12


Hope this helps! Any questions let me know :)
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