PART A: APPLICATION (10 marks)
1. Tom weighs six kilograms less than twice Jerry's weight. If the sum of their weights is 102
kilograms, how much does each person weigh? You can choose to solve by substitution or
elimination for this question. Show your work for full marks.
(5 marks)
Let T

Answers

Answer 1

Answer:

Jerry's weight is 36kg and tom's weight is 66kg

Step-by-step explanation:

According to the given condition:

Let,tom's weight =x

Jerry's weight=y

So,

X=2y-6 ---(1)

X+y=102-----(2)

Put value of x from eq 1 in 2

2y-6+y=102

3y-6=102

3y=102+6

3y=108

Y=108/3=36

Jerry's weight is 36.

Put value of y in eq 1

X= 2(36) -6

X=72-6

X=66

So, Tom's weight is 66kg


Related Questions

The quadrilateral shown is a parallelogram. What is m<B?
A) 25°
B)55
C) 65
D) 115 degree​

Answers

The answer is D. 115°

Answer:

The answer is also 115 on USA test prep.

Cece is finding the surface area of a square pyramid by finding the sum of the areas of its faces. Which statement best describes the faces of the pyramid?
A)one square and three triangles
B)one square and four triangles
C)three squares and one triangle
D)three squares and two triangles

Answers

Answer:

D. One square and four triangles

Step-by-step explanation:

Cece is finding the surface area of a square pyramid by finding the sum of the areas of its faces

Square pyramid has a square base.

each edge of the square base joins at the top of the vertex to make a pyramid

The sides of the pyramid is a triangle

the square has 4 sides, so four triangle on the sides of the pyramid

Hence one square and four triangles forms a square pyramid

Answer:

The answer is A). one square and three triangles

Step-by-step explanation:

If i'm incorrect pleas let me know.

what is a circumference ​

Answers

Answer:

25.13

Step-by-step explanation:

2 pie  multiply radius

2 pie multiply  4

( I think so)

I hope this helps

40 tickets were sold for a concert, some at 75 cents and the rest at $1.25. if the total raised was $42, how many had the cheaper ticket. please i need this for an assignment​

Answers

Answer:

34

Step-by-step explanation:

$1.25 = 125 cents.

$42 = 4200 cents

Tickets sold at 75 cents = x

Tickets sold at 125 cents = y

x + y = 40

75x + 125y = 4200

Multiply the first equation by 75

75x + 75y = 3000

75x + 125y = 4200

Subtract the the second equation from the first.

75x + 75y = 3000

- 75x + 125y = 4200

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

0 - 150y = - 1200

Divide both sides by - 150

-150y/-150 = -1200/-150

y = 8

Substitute y = 8 into the first equation

x + y = 42

x + 8 = 42

x = 42 - 8

x = 34

34 tickets were sold for 75 cents

8 tickets were sold for $1.25

help I will give brainiest!!!!​

Answers

Answer:

20.4 feet

Step-by-step explanation:

What is the coefficient of x² -14x + 49=0 :

Wich one? :
A. a=2, b=-14, c=49
B. a=1, b=-14, c=49
C. a=-14, b=49, C=1
D. a=49, b=-14, C=1
E. a=1, b=49, C=-14

I need your help ​

Answers

Answer
B. a=1, b=-14, c=49

can someone answer these question

Answers

Answer:

y=5

Step-by-step explanation:

Given x=1, the equation would come to be y = 5^1, or y equals 5 to the first power. You'll need to focus on the 5^1, 5 to the first power is 5, that's your answer.

help if ya can please!!

Answers

Answer:

D

Step-by-step explanation:

The answer is D........

Phil made a number line showing the multiples of 3/6...

What is the product 2 x 3/6?

Answers

the answer would be 6/6 because they want you to multiply 2 x 3/6

PLEASE HELP ASAP!! PLEASE

Answers

Answer:

21 km

Step-by-step explanation:

I am not too sure if i did answer that correctly but the distance should not change even if it is in different directions

Find Measures in Intersecting Circles
The diameters of D, B, and A are 4 inches,
9 inches, and 18 inches, respectively. Find AC.
A. 3 in.
B. 5 in.
C. 7 in.
D. 9 in.

Answers

A bybybybybybynybybybybyvtvtvttvtvvtvttvtvtvvtvt
7 in. Because if the diameter of D is 4 then the radius is of circle D is 2 then at then you subtract that from the 9 inches (from line A to D) and you get 7 inches (from A to C)

Find the volume of the cone

Answers

Answer:

formulae : 1/3 × area of base × height

= 1/3 × 6 × 8

= 1×2×8

=16

the corner of the volume is 16

Please please please help me!!! I need this really fast and quick. Will give brainliest to whoever can answer quickly please

Answers

No, she is wrong. A rotation in 180 would result in A(-4,1) to be A’(4,-1) but instead A’ in the graph is (1,4) meaning they did a rotation 270 degrees.

Henry walked 3 miles and Sasha walked 12 miles.
Sasha says she walked 9 more miles than Henry.
Henry says that Sasha walked 3 times as many miles as he walked. Who is correct?

Answers

Sasha because Sasha didn’t run 9 miles

original price is $150 markdown is 30% what is the retail price

Answers

Answer:

$105

Step-by-step explanation:

0.30×150=45

150-45=105

Algebra 2!!

The equation of the piecewise function f(x) is below. What is the value of f(3)?

Answers

Answer:

5

Step-by-step explanation:

Ask your self which equation you should use. Since it says F(3) then we have to find an equation that would fit this correctly. For example if we look at -X^2, X<-2 we could see that 3 is clearly not less than -2, leading to the conclusion that this is not the right equation.. If you look at the last equation it says that x has to be greater/equal to 0 which is true. So then we are left with the equation...

F(3)=x+2

F(3)=3+2

F(3)=5

What is the principal which would amount to $6900 in 3 years at 5% simple interest per annum?​

Answers

Answer:

$6000

Step-by-step explanation:

accumulated amount = A = PI

A = $6900

Let P = x

6900 - I = x

I = (x)(0.05)(3yrs) = 0.15x

6900 - 0.15x = x

Add

6900 = 1.15x

Divide, solve for x

x = 6000

A bike trail is drawn on a coordinate system. Each end of the trail is an x-intercept. The height of the trail is modeled by the function h(x) = -0.1x^2 - 0.3x +2.8 , where x is the horizontal distance in kilometers. How many meters is the horizontal distance of the trail?

Answers

Answer:

4metres

Step-by-step explanation:

Given the height of the trail modeled by the function h(x) = -0.1x^2 - 0.3x +2.8 , where x is the horizontal distance in kilometers

The horizontal distance occurs at the x intercept i.e at h(x) = 0

Substitute

0 = -0.1x^2 - 0.3x +2.8 ,

Multiply through by -10

0 = x^2 + 3x - 28

x^2 + 3x - 28 = 0

Factorize

x^2 + 7x - 4x - 28 = 0

x(x+7) - 4 (x+7) = 0

(x-4)(x+7) = 0

x-4 = 0 and x+7 = 0

x = 4 and -7

Since the danced cannot be negative, hence the horizontal distance of the trail is 4m

what is the sum of the measures of the interior angles of a hexagon ​

Answers

Answer:

Hexagon has 6, so we take 540+180=720. A heptagon has 7 sides, so we take the hexagon's sum of interior angles and add 180 to it getting us, 720+180=900 degrees.

Hexagon has 6, so we take 540+180=720

What is the measure of 2U?
4
4
70°
O A. 70
O B. 74
O C. Cannot be determined
O D. 66

Answers

Answer:

A. 70°

Step-by-step explanation:

Since, TV = TU = 4

[tex] \therefore \: m \angle \: U = m \angle \: V \\(by \: isosceles \: \triangle \: theorem) \\ \because \: m \angle \: V = 70 \degree\\ \\ \therefore \: m \angle \: U = 70 \degree[/tex]

A geologist has ten rock samples in a bag and is going to use eight for class. What is the probability that the first three pulled out will be hematite, bauxite, and coal in that order, assuming all three are among the rock samples?

Answers

Answer:

1/56 chance

Step-by-step explanation:

3/8 x 2/7 x 1/6 = 1/56

Slope intercept form of 4x+4y=-32

Answers

Answer:

y = - x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

4x + 4y = - 32 ( subtract 4x from both sides )

4y = - 4x - 32 ( divide all terms by 4 )

y = - x - 8 ← in slope- intercept form

Answer:

x+y=-8

Step-by-step explanation:

-32=4x+4y

-4y=4x+32

y=(4x+32)/-4

y=-x-8

x+y=-8

Now comparing to slope intercept form

y=mx+c,we get

slope =1

y intercept =1

y=-8

Find the area of triangle STU

Help me

Answers

Answer:

12cm cubed

Step-by-step explanation:

A= base*height/2 so base is 6 just count the squares and height is 4 at the highest point  so just plug those in the formula hopefully its correct

Answer: 35 cm2

Step-by-step explanation:

The height is 5

and the base is 7

area of triangle = bxh    

                          = 7 x 5

                           = 35 cm2

6+ 3x = 15 with work!

Answers

Answer:

X=3

Step-by-step explanation:

Rearrange terms

6+3=15

3+6=15

Subtract from both sides of the equation

3+6=15

3+6−6=15−6

Simplify

Subtract the numbers

Subtract the numbers

3=9

x=3

X = 3.

Step-by-step explanation:

1) Subtract 6 from both sides.

[tex]3x = 15 - 6[/tex]

2) Simplify 15 - 6 to 9.

[tex]3x = 9[/tex]

3) Divide both sides by 3.

[tex]x = \frac{9}{3} [/tex]

4) Simplify 9/3 to 3.

[tex]x = 3[/tex]

So, therefor, 5he answer is x=3.

Which are solutions of the equation (x+5)(x-3)=0

Answers

Answer:-5 and 3

Step-by-step explanation:-5 +5 is 0 and 0 times any number is 0 also 3-3 is 0 and 0 times any number is 0

find the 9th term for 150,60,24

Answers

Answer:

a(9) = 150*(0.4)^8 = 0.098304

Step-by-step explanation:

This is a geometric sequence, because each new term is 0.4 times the previous term.

The general formula for a geometric sequence is a(n) = a(1)*r^(n - 1).  Here, with a(1) = 150 and r = 0.4, we have:

a(n) = 150*(0.4)^(n - 1), and so

a(9) = 150*(0.4)^8 = 0.098304

Answer for ( brain list, thanks, 5 star review)

Answers

Answer:

Your answer is 4.99

Step-by-step explanation:

259.48/52 will take some work if you use long division, but eventually you  get your answer of 4.99

5. Sarah has 5 less dollars than Jessica. Sarah has 17 dollars.
A: Write an equation that describes this solution.
B. What is the solution to the equation?

Answers

Answer:

A. J = 17 + 5

B. J = 22

Jessica has $22.

Answer:

22

Step-by-step explanation:

17+5 because the 5 represents how many more do jessica got and 17 means how much sarah got it total

Simplify the like terms
3w - 2h + -5w+6h

Answers

simplified answer:

4h-2w

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{3w - 2h + -5w + 6h}[/tex]

[tex]\large\text{COMBINE the LIKE TERMS}[/tex]

[tex]\large\text{(3w + (-5w)) + (-2h + 6h)}[/tex]

[tex]\large\text{(-2h + 6h) = 4h}[/tex]

[tex]\large\text{(3w - 5w) = -2w}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \bf4h - 2w}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

What is the volume of the rectangular prism?

Answers

Answer:

There isn't any picture, so I'm assuming that the volume is l*w*h. Just multiply the three dimensions.

Step-by-step explanation:

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