Mathematics High School

Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller number is 50

Answers

Answer 1

Answer: Smaller number = 6

Larger number = 20

Step-by-step explanation:

Let the smaller number be x.

Let the larger number be y.

Three times a larger number is 30 more than 5 times a smaller number. This will be:

3 × y = (5 × x) + 30

3y = 5x + 30 ...... i

The sum of the larger number and 5 times the smaller number is 50. This will be:

y + 5x = 50 ...... ii

From equation ii

y + 5x = 50.

y = 50 - 5x ...... iii

Put the value of y = 50 - 5x into equation i

3y = 5x + 30

3(50 - 5x) = 5x + 30

150 - 15x = 5x + 30

150 - 30 = 5x + 15x

120 = 20x

x = 120/20

x = 6

The smaller number is 6

Note that y + 5x = 50

y + 5(6) = 50

y + 30 = 50

y = 50 - 30

y = 20

The bigger number is 20

Related Questions

Simon set up his tent in his backyard last night. His tent is 6 feet tall. To secure it to the ground, he attached a rope from the top of the tent to the ground 8 feet away from the bottom of the tent as shown below. How many feet long, R, is the rope?

Answers

Length of Simon's tent = 6 feet

Distance from the bottom of the tent to the tent's base = 8 feet

Let the length of rope be R.

The tent and the rope forms a right angle triangle where the rope is the hypotenuse.

We know that :

[tex]\color{hotpink} \tt{hypotenuse}^{2} \color{plum}= {base}^{2} + {height}^{2} [/tex]

Which means :

[tex] = \tt {R}^{2} = {6}^{2} + {8}^{2} [/tex]

[tex] =\tt {R}^{2} = 36 + 64[/tex]

[tex] = \tt {R}^{2} = 100[/tex]

[tex] =\tt R = \sqrt{100} [/tex]

[tex]\hookrightarrow\color{plum}\tt \bold{R = 10 \: feet}[/tex]

Thus, the hypotenuse of this triangle = 10 feet

▪︎Therefore, the length of the rope = 10 feet

Does (0, 0) make the equation y = 9x − 5 true?

Answers

Answer:

no

Step-by-step explanation:

y = 9x − 5

The point (0,0) means x=0 and y=0

Substitute this into the equation and see it is true

0 = 9*0 -5

0 = 0-5

0 = -5

This is not true so the point is not a solution.

Anyone know the answer for this

Answers

Answer:

D is the answer.

8×2×3×6×5×4

HELP ME I NEED HELP what is 22*62-13+28

Answers

Answer:

EZ, the answer is 1379

Step-by-step explanation:

You gotta gimme brainliest, also, you can even see in the calculator

PLEASE SHOW WORK ILL GIVE BRAINLIEST DUE TODAY!!!

14 + 18 ÷ 2 x 18 – 7

15 x 10 + 12 ÷ 3 + 9

8 x 4 + 9 – 9 + 18

2 - 1 + 5 x 4 x 11

60 – 9 x 8 ÷ 8 x 6

(10 ÷ 5)3 + 100 – 9 x 11

3 x 8 x 2 – 42 + 5

14 ÷ 2 -1 + 3

Answers

Answer:

1.) 169

2.) 63

3.) 50

4.) 221

5.) 6

6.) 501

7.)11

8.) 9

Step-by-step explanation:

sorry i dont have time for the explanation. :( i hope i helped you still

i need help
4x+2=2(x+6)

Answers

Answer:

x = 5

Step-by-step explanation:

Answer:

X=5

Step-by-step explanation:

who do you solve this? ​

Answers

Answer:18

Step-by-step explanation: the other side is 20 and there the same length so y is 18 because 18+2=20

7. Calculate Rock A contains
10% quartz and 45% calcite.
The rest of the rock is mica.
What percentage of the rock
is mica?

Answers

Answer:

45% of the rock is mica

Step-by-step

10% + 45% = 55%. 100% - 55% = 45%

solve for w a/h= l • w

Answers

A/h=I X W hope it helps.

Find X and Y
I need help plz ASAP

Answers

Answer:

x=5.657 y=5.657

Step-by-step explanation:

FIND X AND Y
HELP PLZ ASAP

Answers

Answer:

x equals 14, y equals 19.8

Step-by-step explanation:

how to evaluate higher powers of i

Answers

Answer:

i^0 = 1

i^1 = i

i^2 = -1

i^3 = -i

i^4 = 1

i^5 = i

i^6 = -1

i^7 = -i

i^8 = 1

i^9 = i

Step-by-step explanation:

Anything raised to 0 is 1

Anything raised to 1 is itself

I just always knew i^2 = -1

I put this rest into the calculator honestly

But if you look at the stuff from i^2, you'll notice there's a pattern (-1, -i, 1, i) and it repeats. I bet if you raise i to the 10th, 11th, 12th, and 13th power, it is going to repeat the same pattern. I hope this helps in any way.

helpppppppp meee
twentycharacters

Answers

Answer:

The answer is A


Raja drew a circle and labeled the center S. He used the expression 12. to find the
circumference of the circle in inches. Which of the following could be the circle Raja drew?

Answers

Answer:a

Step-by-step explanation:

Rewrite the function by completing the square.
f(x) = x^2 – 8x – 2

Answers

Answer:

[tex](x-4)^2-18[/tex]

Step-by-step explanation:

[tex](x^2-8x-2)\\= (x^2-8x+16)-18\\= (x - 4)^2 - 18[/tex]

Answer:

-4 and -8 (Khan)

Which number line shows the solution to the inequality
4x + 52 92
- 4 2 0 2 4
(
HH
- 4-2 0 2 4
(
-4-2024
-4-2024

Answers

Answer: its C

Step-by-step explanation: I have the same worksheet

8x8x8=_______=_______​

Answers

Answer:

8*8*8= 8^3= 512

Step-by-step explanation:

Answer:

8x8x8= 8^3 = 512

Step-by-step explanation:

Hope this helps

A new bank customer with ​$4,000 wants to open a money market account. The bank is offering a simple interest rate of 1.2​%.

a. How much interest will the customer earn in 30 ​years?
b. What will the account balance be after 30 ​years?

Answers

Answer:

Interest: $1440

Total Account Balance: $5440

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 1.2%/100 = 0.012 per year,

then, solving our equation

I = 4000 × 0.012 × 30 = 1440

I = $ 1,440.00

The simple interest accumulated

on a principal of $ 4,000.00

at a rate of 1.2% per year

for 30 years is $ 1,440.00.

The simple Interest is $1440 and the total Account Balance: $5440.

What is simple interest?

Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest.

First, converting R percent to r a decimal,

r = R/100 = 1.2%/100 = 0.012 per year,

Then, solving our equation,

I = 4000 × 0.012 × 30 = 1440

I = $ 1,440.00

The simple interest accumulated,

on a principal of $ 4,000.00

at a rate of 1.2% per year

for 30 years is $ 1,440.00.

Therefore, the simple Interest is $1440, and the total Account Balance: $5440.

To know more about simple interests follow

https://brainly.com/question/2294792

#SPJ2

HELP PLS ASAP!!!!!!!!!!!!!!!!!!!!!!!! MATH! HELP! (BRAINLISYT) PLEASE HELP IM BEGGING YOU!!



What is the measure, in degrees of an angle that represents 50/360 of a circle?

90º


50º


360º

310º

Answers

Answer:

Step-by-step explanation:

360(50/360)=50

find the surface area​

Answers

Answer: 24

Step-by-step explanation:

to find the surface area of a cube use its formula

A = 6 * a^2

A = 6 * 2^2

A = 6 * 4

A = 24

Find the area of this shape? HELP Radius is 2 area is 3.14​

Answers

You shouldn’t need radius but the area is 46

you make the thing hanging of a square and the other big shape a triangle then 2x3 is 6 and 8x10 decided by 2 is 40 and 40+6 is 46

Answer:

Step-by-step explanation

what I learned was to separate the two shapes.

So the rectangle and the triangle will be multiplied separately.

We will make the 10 an 8 because of the 2 on top of the rectangle.

5*8= 40 because the shape is a triangle we divide the area of it by 2, and that would make 20. The triangles area is 20.

Now the rectangle: 2*3=6    

Add both of those numbers and the answer is 26 ft.

please help me
!!!!!!!!!!!!!

Answers

Answer:

Hey y = 16

sorry can't find x and z

Could you help me thanks

Answers

Yes The answer is 2,384

Answer:

Miles per gallon, 72.9/2.7 =27

Step-by-step explanation:

Please help 50 pts due soon

Answers

Answer:

b

Step-by-step explanation:

Answer: STEP 1.

Step-by-step explanation:

help me fast will give brainless

Answers

Answer:

b

Step-by-step explanation:

to solve for m, you need to leave the m by itself.

since 14(1/6) on the m side, it needs to be eliminated. To do that, you need to subtract 14(1/6) on both sides. Therefore, the answer is B.

Help me please !!!



And thank you

Answers

Answer:

804.4

Step-by-step explanation:

the formula for the volume of a cube is the side length cubed,

so:

(9.3)(9.3)(9.3) = 804.357

then round it to 804.4

hope this helped!

pls pls pls someone help me

Answers

I can’t see the picture

Answer:

I can't see the picture it's a black screen

which of the following represents a function of protein within a organism ?


A.storing genetic information
B.storing energy
C.generating heat
D.fighting infection​

Answers

Answer:

A

Step-by-step explanation: ITS RIGHTTTTTTTTTTTTTTTTT


What is the measure of

Answers

Answer:

<Ber=<kem(vertically opposite angle)

9x-17=3x+31

9x-3x=31+17

6x=48

x=48/6=8

<kem=3×8+31=55°is answer

HELP ME ASAP PLZZ
Which table represents the function y = 3x – 1?


Input x 1 2 3
Output y 4 7 10

Input x 0 1 2
Output y -1 -2 -3

Input x 0 1 2
Output y -1 2 5

Input x 2 3 4
Output y 2 4 6

Answers

Answer:

Input x 0 1 2

Output y -1 2 5

Step-by-step explanation:

just plug in all the answers for x and solve the equation. like this:

y=3*0-1=

y=0-1=

y= -1

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

y=3*1-1=

y=3-1=

y=2

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

y=3*2-1=

y=6-1=

y=5

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

all the results match with the table

hope I helped God bless you

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