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

I need some help and fast
Solve this plz

Answers

Answer:

It could be or 70 or 78

Step-by-step explanation:

Answer:

there the same they are both 84

Step-by-step explanation:

PLEASEEEEE HELPPPPPP ASAPPPPP

Answers

The correct answer is 9 or option D:)

bro this is eazy if i get it right give me brainliest

Answer: 9

Describe the transformation that moved the Red-figure to the Blue figure.
A) Rotate 90 degrees clockwise about the origin
B) Rotate 90 degrees counterclockwise about the origin
C) Reflect over the x-axis
D) Translate 2 units up

Answers

C. Reflect because any other way they would not be the same direction

Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21?

Select each correct answer.


(−3, 3)

(7, 0)

(−1, −6)

(11, 3)

Answers

The answer is (7,0)

I’m pretty sure if people can explain then there is your explanation but I don’t know how to explain CORRECTLY. But the ANSWER IS (7,0)
Answer: (7,0) and (11,3). i don’t know how many is max.

Explanation: 3(7)-4(0)=21
21-0=21 ✅

Explanation: 3(11)-4(3)=21
33-12=21 ✅

Both of these are true!

plz help what is 6 x 18 plz show work thank

Answers

Answer:

the answer is 108.

Step-by-step explanation:

6 x 18 = 108

6 x 18= 108

4
1 8
X 6
108

Hope it helps :)

i need help with this ASAP

Answers

Answer:

There are sixteen 15-cent stamps and eight 20-cent stamps.

Step-by-step explanation:

Stamp collector has:

15c stamps

20c stamps

Total value is $4

x($0.15) + y($0.20) = $4.00

The # of 15c stamps is 8 - than 3 * the # of 20c stamps; 15c = 8 - 3c

x = 3y - 8

(3y-8)(0.15)+y(0.20) = $4.00

0.45)y-1.20+(0.20)y = 4.00

(0.65)y-1.20 = 4.00

(0.65)y = 5.20

y = 8

x = 3(8)-8 = 16

There are sixteen 15-cent stamps and eight 20-cent stamps.

Check:

16($0.15)+8($0.20) = $2.40+$1.60 = $4.00

Which expression is represented by this model?

14×13=112

13×12=16

14×16=124

14×12=18

Answers

Answer:

the first one

Step-by-step explanation:

hope i helped

Answer:

a

Step-by-step explanation:

pls give brianleist

Need help with this
(I think it’s 49 but I’m not sure)

Answers

Answer:

Its 49

Step-by-step explanation:

Can i get brainliest

Justin reads
5/8 chapters in 4/5
hours.

What is the unit rate in chapters per hour?

Write your answer in simplest form.


20 points to person

Answers

25/32 is the unit rate in chapters per hour

The unit rate in chapters per hour is 1/2.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Justin reads 5/8 chapters in 4/5 hours.

the unit rate in chapters per hour is = 5/8÷4/5

                                                          =5/8×4/5

                                                         =1/2

Hence, the unit rate in chapters per hour is 1/2.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

What graph shows the linear equation y = 1?

Answers

Answer:

I don't see a picture; where are the graphs?

Madison is a high school basketball player. How many points would Madison score in a game if she made 8 free throws (worth one point each) and 6 three point shots?

How many points would Madison score in a game if she made x free throws and y
three point shots?

Answers

Answer:

26  and 1x+3y   on Delta math

Step-by-step explanation:

Explanation:

Each free throw scores 1 point, so 8 free throws would score 1\times 81×8 or 8 points. Each three point shot scores 3 points, so 6 three point shots would score 3\times 63×6 or 18 points. Therefore, the total number of points Madison would score is 26.

Answer:

3?

Step-by-step explanation:

i need helpppp again

Answers

Answer:

2/7b + 10

Step-by-step explanation:

What is the binary number for 13​

Answers

Step-by-step explanation:

[tex]13=8+4+1=2^3+2^2+2^0=\bold1\cdot2^3+\bold1\cdot2^2+\bold0\cdot2^1+\bold1\cdot2^0\\\\13_{10}=1101_2[/tex]

Answer:

♡ hola, madi here ♡

- 1101 is the answer.

hope your thanksgiving is amazing.

know your loved & make sure to

hug a loved one today.ʕ ꈍᴥꈍʔ

✧・゚: *✧・゚:・゚✧*:・゚✧・゚: *✧・゚:・゚✧*:・゚✧

Step-by-step explanation:


What is the range of: 21, 35, 17, 27, 32, 12 and 30

Answers

Answer:

Please mark as brainliest!!

Step-by-step explanation:

range = maximum value -minimum value

35-12=23

Find the value of X

PLEASE

Answers

Answer:

x ≈ 18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Trigonometry

Law of Cosines: a^2 = b^2 + c^2 - 2(b)(c)cosA

a is a side lengthb is a side lengthc is a side lengthA is an angle corresponding with side a

Step-by-step explanation:

Step 1: Define

a = x

A = 30°

b = 16

c = 30

Step 2: Solve for x

Substitute:                    x² = 16² + 30² - 2(16)(30)cos30°Exponents:                   x² = 256 + 900 -2(16)(30)cos30°Evaluate:                       x² = 256 + 900 -2(16)(30)(√3/2)Multiply:                        x² = 256 + 900 - 480√3Add:                              x² = 1156 - 480√3Subtract:                       x² = 324.616Isolate x:                       x = √324.616Evaluate:                       x = 18.0171Round:                          x ≈ 18

He cafeteria at Midtown Middle School surveyed 575 students about their favorite food. If 8% of the students surveyed liked chicken, how many students said that chicken is their favorite food?

Answers

Answer:

46.08 students said that chicken is their favorite food.

Step-by-step explanation:

Let X denote the number of students who liked chicken.

The proportion of students who liked chicken is, p = 0.08.

About n = 576 students were surveyed about their favorite food.

Every student's answer was independent of the others.

Thus, the random variable X follows a binomial distribution with parameters n = 576 and p = 0.08.

The probability mass function of X is:

[tex]P(X=x)={576\choose x}(0.08)^{x}(1-0.08)^{576-x};\ x=0,1,2,3...576[/tex]

Then expected number of students who said that chicken is their favorite food is:

[tex]E(X)=np\\\\=576\times0.08\\\\=46.08[/tex]

Thus, 46.08 students said that chicken is their favorite food.

Darius sees a new store advertising 10 of the same packs of paper clips for $41.50. Which statement best describes the strategy Darius should use to get the best price for each pack?

Answers

Answer:

$4.150/pack

Step-by-step explanation:

Given the price of 10packs as $41.50, we can express it as;

10 packs = $41.50

To get the equivalent price of 1 pack, we will say;

1 pack = $x

Solving both equalities for x;

10 packs = $41.50

1 pack = $x

cross multiply

10 * x =  1 * 41.50

10x = 41.50

Divide both sides by 10

10x/10 = 41.50/10

x = 4.150

Hence the price for each pack is $4.150

Factor completely...I need help with my algebra 2 assignment!

Answers

1.) (x+2) (x+4) (x-4)

2.) (3x-4) (x^2 +3)

3.) 2x(2x-5) (x-4)

4.) (4x+3) (2x^2 +1)

5.) (4x-5) (16x^2 + 20x+25)

6.) (x+2) (x-2) (x^2+3)

7.) 2x^2(2x+3) (4x^2-6x+9)

8.). (4x-1) (x+1) (x-1)

*Hope this helped, good luck :-)

median of 27,29,18,25,32,21,26

Answers

Answer:

arranging the data in ascending order :-

18, 21, 25, 26, 27, 29, 32

hence, the median is = 26

I need help, algebra is hard

Answers

Answer: C

Step-by-step explanation:

I think this one is it?

Answer:

c

Step-by-step explanation:

escribi los rsultados de cada cálculo como una exprecion decimal.
a)5+1/10+4/100=
b)1+5/10+7/100+5/1.000=
c)3/10+4/1.000=


POR FA NECESITO AYUDA ES PARA HOY

Answers

Answer:

a) 257/50 or 5.14

b) 657/100 or 6.57

c) 43/10 or 4.3

Step-by-step explanation:

Espero que esto ayude y que tengas un gran día! :)

. When 12 is subtracted from 4 times a number, the result is 24. Which equation can be used to find the number?

Answers

Answer:

12 + 24 divided by 4

Step-by-step explanation:

12 + 24 is 36, so divide that by 4, that gives you the answer, which is 9

The equation that represents the situation is 12 - 4x = 24. Then the solution of the equation will be negative 3.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

When 12 is subtracted from 4 times a number, the result is 24.

Let the number be 'x'. Then the equation is given as,

12 - 4x = 24

Simplify the equation, then we have

12 - 4x = 24

- 4x = 24 - 12

- 4x = 12

4x = - 12

x = - 12 / 4

x = - 3

The equation that represents the situation is 12 - 4x = 24. Then the solution of the equation will be negative 3.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ6

The pair of points lies on the same line with the given slope. Find x.
(4,6). (x, 12); slope = 2

Answers

Answer:

x=7

Step-by-step explanation:

I got this because it is rise over run

[tex]\frac{rise}{run} =\frac{6}{?} =2[/tex]

The missing number would be 3, and if you add that three to 4 you get 7. which means that the answer is...

(7,12)

Hope this helps you!!!

Find the value of x. *


Please help me.

Answers

Answer:

x=50

Step-by-step explanation

The two angles add up to 180, so 2x+4+76 = 180

2x+80=180

2x=100

x=50

Harry and Selma start driving from the same location. Harry drives 42 miles north and Selma drives 144 mies east. How far apart are Harry and Selma when they stop?

Answers

Answer:

150 miles

Step-by-step explanation:

use the pythagoerean theorem

42^2 + 144^2 = c^2

1764+20736=c^2

22500 = c^2

c= 150 miles

Question 8 of 10
If a point is on the bisector of an angle, then it is:
A. on one side of the angle.
B. the vertex of the angle.
C. equidistant from the two sides of the angle.
D. equidistant from the bisector and one side of the angle.

Pls and thank you

Answers

Answer:

yr point is A

Step-by-step explanation:

If a point is on the bisector of an Angle , then it is equidistant from two sides .

The Meaning of Bisector is to divide something or anything into two equal Halves.

The Meaning of Bisector of any Angle means to divide that Angle into two equal Parts.

Option A

equidistant from the two sides of the angle.

i jst taken the quiz

Answer:

equidistant from the two sides of the angle.

Step-by-step explanation:

E=RIGHT FOR AP-EX

bund to the nearest tenth
2. 84 is 60% of what number?
What is that answer

Answers

Answer:

140

Step-by-step explanation:

84/140 = 60/100

Mikaila collected 27 pounds of glass bottles to bring to the recycling center. she also collected 400 ounces of newspapers and 160 ounces of aluminum cans. what is the total weight of the items Mikaila brought to the recycling center? write your answer in ounces. think you❤!

Answers

The total weight of the items Mikaila brought to the recycling center is 992.

Trigonometry ( help a girl out)

Resolving Vectors

Find the components of a car’s displacement if it travels 250 miles at an angle of 45 degrees north of west.

Answers

Answer:

4.587

Step-by-step explanation:

Write 178/48
as a percent.

Answers

370.83 repeating percent or 371 percent. Convert the fraction to a decimal then multiply by 100:)

Answer:

370.83%

Step-by-step explanation:

Divide them, and then multiply by a hundred.

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