Mathematics High School

Randy, Sandy and Todd are my cousins and their combined age is 87 years. Randy is four times as old as Sandy, but Todd is actually 15 years older than Sandy. How old are each of my cousins

Answers

Answer 1

Answer:

Randy is 48 years old

Sandy is 12 years old

Todd is 27 years old

Step-by-step explanation:

Given

Represent their ages with the first letters of their names:

[tex]R + S + T = 87[/tex]

[tex]R = 4 * S[/tex]

[tex]T = 15 + S[/tex]

Required

Determine their individual ages

We'll solve the above equations using substitution method of simultaneous equations

Substitute 15 + S for T and 4 * S for R in [tex]R + S + T = 87[/tex]

This gives:

[tex]4 * S + S + 15 + S = 87[/tex]

[tex]4 S + S + 15 + S = 87[/tex]

Collect Like Terms

[tex]4 S + S + S = 87 - 15[/tex]

[tex]6S = 72[/tex]

Divide through by 6

[tex]S = 72/6[/tex]

[tex]S = 12[/tex]

This implies that Sandy is 12 years old

Substitute 12 for S in [tex]R = 4 * S[/tex] and [tex]T = 15 + S[/tex]

[tex]R = 4 * 12[/tex]

[tex]R = 48[/tex]

[tex]T = 15 + 12[/tex]

[tex]T = 27[/tex]

This implies that Randy is 48 years old and Todd is 27

Related Questions

Kellie can type 3 words in 1 minute

Answers

uwu I see a lot of problems,

1. She can only type 3 words per minute

2. She can only type 3 words per minute

What is the slope and y-intercept of x/3= -y+2 and how?????

Answers

subtract 2 from both sides

then you get -y equals 1/3x -2 so you have to flip the sign of the entire equation because you can’t have a negative line

so you get y = -1/3x + 2

the y-intercept is (0,2)

the slope is -1/3x (aka -x/3)

can someone please help me with this please and thank you

Answers

Ndhdhjjsjxjndjxjxjdnfnhdhfbdjjdjdhd

The second one I believe so because I just finished learning this last year

Which of the following is the graph of the function shown above?

Answers

The given functions will be straight line graph as shown below

What are piecewise functions

Piecewise function are made of several functions on an xy-plane. According to the question, we are to plot the following piecewise functions.

The following functions are linear equation with a degree of 1. The given functions will be straight line graph as shown below;

Learn more on piecewise function here: https://brainly.com/question/27262465

#SPJ1

What is the value of the 5 in the number 2.005?
0.05
0.5
0.005
5

Answers

Answer:

0.005

Step-by-step explanation:

Answer:

.005

Step-by-step explanation:

The image of point (-2,3) under translation T'is
(3,-1). What is the image of point (4,2) under the
same translation?

Answers

Answer:

Step-by-step explanation:

REF: 060309a

ANS:

(9,−2)

(x,y)-->(x+5,y-4)

Transformation involves changing the position of a point.

The image of the translation is (9,-2).

The point is given as:

[tex]\mathbf{A= (-2,3)}[/tex]

The image of the point is:

[tex]\mathbf{A'= (3,-1)}[/tex]

The translation rule is calculated as:

[tex]\mathbf{T = <x + 3--2,y-1-3>}[/tex]

[tex]\mathbf{T = <x + 5,y-4>}[/tex]

So, the image of (4,2) is:

[tex]\mathbf{Image = (4 + 5, 2 -4)}[/tex]

[tex]\mathbf{Image = (9, -2)}[/tex]

Hence, the image of the translation is (9,-2).

Answers

Answer:

The three numbers are 40, 41 and 42. So the answer would be 40

The Green Lawns Company uses the equation C=82.75a+56 to determine the amount to charge for mowing a city park, where a is the number of acres in the park and C is the cost in dollars. What is the significance of the number 82.75 in the equation?

Answers

Answer: The significance of the number 82.75 in the equation = amount charged per acre in the park.

Step-by-step explanation:

Given: The Green Lawns Company uses the equation C=82.75a+56 to determine the amount to charge for mowing a city park, where a is the number of acres in the park and C is the cost in dollars.

In linear equation y=mx+c, = rate of change of y with respect to x.

Here Coefficient of a = rate of change of C with respect to a.

i.e. Coefficient of a =amount charged per acre in the park.

Hence, The significance of the number 82.75 in the equation = amount charged per acre in the park.

Write an expression to represent:
The sum of ten and the quotient of a number 2 and 6.

Answers

Answer:

x=10+(2/6)

Step-by-step explanation:

Hope this helped!

Answer:

10 + 2/6

Step-by-step explanation:

A quotient is the answer to a division problem.

A sum refers to addition.

Would appreciate Brainlitest!

The x coordinate for an ordered pair in the solution set of x+2y=11 is 3. find the y coordinate

Answers

Answer:

y=4

Step-by-step explanation:

solve for y. I have the work shown in the picture I attached.

here is a list of ingredients for making 12 rock cakes nihay wants to make 42 cakes does she have enough sugar to make 42rock cakes u must show your working

Answers

Step-by-step explanation:

So we know that for 12 rock cakes we need 225g flour and 75g sugar to get 42 rock cakes we need to multiply the number of ingredients by 3.5 (42/12 =3.5)

This gets us 787.5 g flour and 262.5 g sugar.

Show work:

[tex]42 \div 12 = 3.5[/tex]

[tex]225 \times 3.5 = 787.5[/tex]

[tex]75 \times 3.5 = 262.5 [/tex]

[tex]787.5 < 800[/tex]

[tex]262.5 < 300[/tex]

Nishat has enough flour and sugar to make 42 rock cakes.

geometry work find the value of b

Answers

Answer:

Step-by-step explanation:

I know I did it

complete the table of values for y=x3+x2-6x

Answers

Answer:

y= x ^3 - 4x

Step-by-step explanation:

Regroup terms.

y=x^3 +2x−6x

Simplify x^3 +2x−6x to x^3 −4x.

AAAAANNNNNnnNNND the answer is

y= x^3 - 4x

IN GRAPH

1. The slope of the line below is 2. Write the equation of the line in point-slope form using the coordinates of the
labeled point.

Answers

Answer:

y=2x

Step-by-step explanation:

PLEASE HELP
classify triangles

Answers

Answer:

I'm pretty sure its obtuse triangle

What is the value of X

Answers

Answer:

x=6

Step-by-step explanation:

1) you set 16x+9 equal to 105

2) then you solve! 16x+9=105 --> 16x=105-9 --> 16x=96 --> x=96/16 --> x=6

GIVING BRAINLIEST!!

Graph the solution of 2x + 3 <3.

Answers

Answer:

Open dot to the left. Dot on zero.

Step-by-step explanation:

Answer:

I hope this helps!

Convert 2x + 37y = 18 to point-slope form.

Answers

Answer:

y = -2/37x + 18/37

Step-by-step explanation:

2x + 37y = 18

-2x -2x

37y = -2x + 18 (Divide 37 on both sides)

Y = -2/37x + 18/37

Julio says, "If you subtract 13 from my number and multiply the difference by -3, the result is -54 ." What is Julios's number?

Answers

Answer:Julios's number is 31

suppose: Julios's number is x

because Julio says, "If you subtract 13 from my number and multiply the difference by -3, the result is -54 "

=> we have: (x - 13).(-3) = -54

<=> x - 13 = (-54):(-3) = 18

<=> x = 18 + 13 = 31

<=> x = 31

Step-by-step explanation:

What is the measure of one exterior angle of this polygon?

Answers

answer:

36°

step by step explaination:

The regular, convex decagon is a subtle and elegant shape then with 10 exterior angles of 36° , 10 interior angles of 144°

Solve.
2x + 3 = 2x - 3

Answers

Step-by-step explanation:

Respuesta:13

Answer:

It is incorrect :( :(

Step-by-step explanation:

2x + 3 = 2x - 3

or, 2x - 2x = -3-3

or, 0 = -6

What is the binary number for 22

Answers

Answer:

I believe it is 10110

Step-by-step explanation:

hope this helps

What transformations were applied to ABCD to obtain A'B'C'D?

Answers

Answer:

Rotate 90 degrees counterclockwise then translate 2 units up.

Step-by-step explanation:

I just took a quiz on a p e x and it was correct! :)

Answer:

roatae 90 degrees conter clockwise about the origin and then go to units up

Step-by-step explanation:

You help out at the bowling alley on weekends. One of the arcade games has a bin filled
with stuffed animals. A robotic arm randomly grabs a stuffed animal as a prize for the
player. You are in charge of filling the bin.
You are told that the probability of getting a stuffed giraffe today is 0.4. If there are 28
giraffes in the bin, what is the total number of stuffed animals in the bin?

Answers

Answer:

28/0.4,= 28/(2/5)=28*5/2=14*5=70, no need to use calculator

check 70*0.4=28

Step-by-step explanation:

what is the value of x

Answers

Answer:

x=12

Step-by-step explanation:

substitute the number 12 with X

x=12 because it just does. hope you got it.

PLEASE HELP!!! Find the slope of each side of the triangle.

Answers

9514 1404 393

Answer:

AB: -3BC: 2/3AC: -1/4

Step-by-step explanation:

The slope of a given segment is the ratio rise/run. The "rise" is the number of vertical divisions between the points. The "run" is the number of horizontal divisions between the points. The "run" is positive left-to-right. The corresponding "rise" is positive up.

Here are the segment slopes (rise/run).

AB = -3/1 = -3

BC = 2/3

AC = -1/4

Provide three character traits that would make you a successful entrepreneur. Explain? I

Answers

Answer:

Creative, Motivated, and Passionate.

Step-by-step explanation:

The describe a successful entrepreneur because you have to be creative because being creative helps you become a better problem solver in all areas of your life and work. You have to be motivational because it allows us to change behavior, develop competencies, be creative, set goals, grow interests, make plans, develop talents, and boost engagement. You have to be passionate because being passionate is the energy that keeps us going, that keeps us filled with meaning, and happiness, and excitement, and anticipation.

The local traffic update is given on a radio channel every 12 minutes from 4:00 p.m. to 6:30 p.m. You turn the radio on at 4:16 p.m. How long will you wait for the local traffic update?

Answers

Answer:

8 minutes

Step-by-step explanation:

The next traffic update will be at 4:24 p.m. because 12 x 2 = 24. 24 - 16 = 8, so you have to wait for 8 minutes.

find the L.C.M of the following
a.3and7
b.4and5

Answers

Answer:

a. 21

b. 20

Step-by-step explanation:

a. 3 and 7 are prime numbers, so their LCM is their product, 21

4 = 2^2

5 = 5

LCM = 2^2 * 5 = 20

Answer:

a. 21

b. 20

Sarah works ar a shoe store. She earns a base salary of $1,500 per month, plus a 25% commission on the amount of shoe sales she makes druing the month. If Sarah's goal is to earn $2,000 a month, what is the amount of shoe sales that she must make in a month?

Answers

Answer:

Step-by-step explanation:

goal is 2,000 and she already makes 1,500

2,000-1,500 gives you the amount she needs to earn from shoe sales

she needs to earn 500 dollars with a 25% commision

25% can also be written as 25/100

for every $100 she makes, she gets $25 but she needs $500

100:25

we need the second number in the ratio to equal $500

500 divided by 25 is 20

20 x 100 : 25 x 20

2000: 500

ANOTHER WAY: 500 is 1/4 of 2000 and 1/4 is 25% so you could multiply the amount she needed by 4 to get your answer

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