The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116. What are the numbers?

Answers

Answer 1

Answer:

SMALLER NUMBER = 14

BIGGER NUMNER = 34

Step-by-step explanation:

Two equations can be derived from the question

a + 2b = 62 equation 1

3a - b = 116  equation 2

a = bigger number

b = smaller number

multiply equation 1 by 3

3a + 6b = 186 equation 3

subtract equation 2 from 3

5b = 70

b = 14

substitute for b in equation 1

a + 28 = 62

a = 34


Related Questions

What is the range of the function y= squareroot of x+5?

Answers

y + 5 = 0
y >= -5
Therefore, you would choose the first answer.

Answer:

y ≥ 0

Step-by-step explanation:

if you put a negative in place of 'x' you would get a negative root which is an imaginary number

A plant costs p dollars and a bush costs b dollars. Ana buys 2 plants and 4 bushes for $42. Paola buys 7 plants and 9 bushes for $107. Write down a pair of simultaneous equations and solve them to find out the value of p and the value of b.

Answers

Answer:

p = 5 and b = 8

Step-by-step explanation:

First, create a system of equations:

2p + 4b = 42

7p + 9b = 107

Solve by elimination by multiplying the top equation by -7 and the bottom equation by 2:

-14p - 28b = -294

14p + 18b = 214

Add these together, and solve for b:

-10b = -80

b = 8

Plug in 8 as b into one of the equations, and solve for p:

2p + 4b = 42

2p + 4(8) = 42

2p + 32 = 42

2p = 10

p = 5

So, p = 5 and b = 8

Answer:

p = 5 and b =8

Step-by-step explanation:

2p + 4b = 42

2p = 42 - 4b

p = 21 - 2b

7p + 9b = 107

7 (21 - 2b) + 9b = 107

147 - 14b + 9b = 107

147 - 5b = 107

-5b = -40

b = 8

2p + 4 * 8 = 42

2p + 32 = 42

2p = 10

p = 5

hey, another math question

Answers

Answer:

Step-by-step explanation:

By adjacent interior angles theorem,

If a transversal line 'r' intersects two parallel lines 'm' and 'n' then the consecutive interior angles are supplementary.

a° + (3x - 18)° = 180°

a° = 180° - (3x - 18)°

By vertical angles theorem,

If two straight lines intersect each other at a point, opposite angles formed are equal in measure.

180° - (3x - 18)° = (5x - 10)°

(5x - 10) + (3x - 18) = 180

(5x + 3x) - (10 + 18) = 180

8x - 28 = 180

8x = 180 + 28

8x = 208

x = 26

What will be the volume of the box?

Answers

Answer:

Step-by-step explanation:

7 * 7 * 3

= 147 cm^3.

Kelvin made 12 blueberry muffins for the bake sale he puts 6 muffins in the box how boxes does kelvin math

Answers

If he had 12, he puts 6 of those in a single box, after that box is filled, he has six more he can put in. Kelvin has 2 boxes!

Answer:

2 your welcome and I play overwatch

A rectangular one story house covers an area of 2,700 square feet. The ceilings are 9 feet high. What is the volume of the interior of the house

Answers

Answer:

You will need to study and get the answer using

Step-by-step explanation:

a link: https://brainly.com/question/16261743. Taking a rescoruce. i surely think that you can do it

13. If you have ₹ (100 3 ‒ 5x + 3) in your wallet, you got a gift of ₹ (10 3 + 3x) and you spent ₹ (80 3 ‒ 2 2 +9) in buying food, how much money is left in your pocket?

Answers

Answer:

10x³+2x²-8x-6

Step-by-step explanation:

Total amount = ₹ (100x³ ‒ 5x + 3)

Amont spent in gift = ₹ (10x³ + 3x)

Amount spent in buying food = ₹ (80x³ ‒ 2x² +9)

Left amount = Total amount - (Amount spent in gift+Amount spent in buying food)

= (100x³ ‒ 5x + 3)- [(10x³ + 3x)+(80x³ ‒ 2x² +9)]

= (100x³ ‒ 5x + 3)-(10x³ +3x+80x³ ‒ 2x² +9)

= 100x³ ‒ 5x + 3-10x³-3x-80x³ +2x²-9

= 10x³+2x²-8x-6

Hence, this is the required solution.

Use the function h(t) = -167 + C, where
t is the number of seconds and c is the
height of the bridge. How high above the
ground is a ball that was dropped off a
260-foot-high bridge after 2 seconds?
A O feet
B 64 feet
C 196 feet

Answers

Answer:

Ball distance from ground = 74 feet

Step-by-step explanation:

Given function;'

h(t) = -167(t) + C

t = number of seconds

c = height of the bridge

Find:

Ball distance from ground

If,

c =  260-foot-high bridge

t = 2 seconds

Computation:

h(t) = -167(t) + C

h(2) = -167(2) + 260

h(2) = -334 + 260

h(2) = -74

Ball distance from ground = 74 feet

A set of parents started a savings account for their newborn child. After 7 years, the
child's account had 900 dollars. The balance in the account continues to grow by a
factor of 5 in value every 7 years. Let n be the number of 7-year periods since the
account was started.
Which function, f(n), represents the value of the savings account?

Answers

Answer:

hsshshshwwbwbbs29oooo

c) What is the value of xº?​

Answers

Answer:

1 is the value of x⁰ so this is the correct answer

Answer:

1

Step-by-step explanation:

Any number or variable with the power 0 has value 1.

What’s the property of 41 + 29=41 +(9+20)=(41+9)+20=70

Answers

Answer:

Step-by-step explanation:

Distributive

Step-by-step explanation:

41+29=70

41 +(9+20)=70

(41+9)+20=70

hope it help

Work out the answers to:
a) 5 divided 0.1
b) 8 divided 0.02
c) 2.4 divided 0.3
d) 32 divided 0.16

Answers

Answer:

a) 50

b) 400

c) 8

d) 200

Step-by-step explanation:

a) 5 divided 0.1

  [tex]\frac{5}{0.1} = \frac{5 \times 10}{0.1 \times 10} = \frac{50}{1} = 50[/tex]

b) 8 divided 0.02

   [tex]\frac{8}{0.02} = \frac{8 \times 100}{0.02 \times 100} = \frac{800}{2} = 400[/tex]

c) 2.4 divided 0.3

  [tex]\frac{2.4}{0.3} = \frac{2.4 \times 10}{0.3 \times 10} = \frac{24}{3} = 8[/tex]

d) 32 divided 0.16

   [tex]\frac{32}{0.16} = \frac{32 \times 100}{0.16 \times 100} = \frac{32 \times 100}{16} = 200[/tex]

An amusement park is holding a contest for people who are in line before 7:00 a.m. The 42nd person i. line wins free admission , and so do the six people before that person . which graph could be used to determine the winners?

Answers

Answer: bottom left

Step-by-step explanation:

help me please thanks

Answers

Answer:

C    The mean or median

Step-by-step explanation:

The answer is C
hope this helps!!

Can someone help me out with these few problems 1,3,4,6,7,10,12,15
Please only reply back if you really are trying to help me please no spam
I would really appreciate it

Answers

Answer:

Step-by-step explanation:

1) the complete squares of the picture are 12, if we unite the other we can reach 15 squares circa

15 * 50 = 750 square units

3) Area = base x height = 12 * 9 = 108 cm^2

4) Area = (base x height)/2 = (24 * 16)/2 = 192 in^2

6) Area of the square = side ^ 2 = 12^2 = 144 cm^2

height of the triangle = 20 - 12 = 8 cm

Area of the triangle = (base x height)/2 = (12 * 8)/2 = 48 cm^2

Total area = 144 + 48 = 192 cm^2

7) radius = diameter / 2 = 20 : 2 = 10 cm

circumference = radius * 2 * pi = 20 * pi = 62.8 cm

area = radius^2 * pi = 100 * pi = 314.2 cm^2

10) √25 = 5

we have to find a  positive number that multiply by itself gives 25

12) √100 = 10

we have to find a positive number that multiply by itself gives 100

15) √64 = 8

we have to find a positive number that multiply by itself gives 64

a, I see, you split the workload :D

this answer is just a greeting,making you able to choose a brainliest.

if someone leaves a greeting in the other topic, it works there to. :D

In the figure, the area of the shaded region is 224π cm^2.
What is the value of x?

Answers

Answer:

6330,24

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

x is the radius of the inner white circle

The area of the whole circle is

A = πr² = π × 18² = 324π cm²

The area of the shaded region = 224π cm²

Then the area of the white circle = 324π - 224π = 100π

Area of white circle = πx² = 100π ( divide both sides by π )

x² = 100 ( take the square root of both sides )

x = [tex]\sqrt{100}[/tex] = 10

Which equation represents a line with a slope of 13 and a y-intercept of -1?

Answers

Answer:

y = 13x - 1

Step-by-step explanation:

y =   13        x        - 1

     Slope          y intercept

Answer:

y = 13x -1

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 13x -1

. The time of a clock as seen in a mirror is 3:15. The correct time is​

Answers

Answer:

3:15 cause a mirror cant change time

Step-by-step explanation:

go in ur mirror and look at the time did it somehow get darker or lighter???

Answer:

8:45 i think

Step-by-step explanation:

Which of the following shows 3x + 15 + 6x – 7 + y in simplest terms?

Answers

it should be

9x+1y+8

      ^it could be just y instead of 1y

Answer:

the answer is = 9x+y+8

Step-by-step explanation:

...

What is the compound probability that student A chooses yellow and student B chooses yellow from their mnms at the same time? How likely is this? Yellow is worth 7/30

Answers

Step-by-step explanation:

yea................................

Two semicircles are drawn inside of a circle with radius 8 inches as shown below. Find the area of the shaded region. Round your answer to the nearest tenth (0.1).

Answers

Answer:

Step-by-step explanation:

two semicircles each of diameter 8 inches makes one circle with diameter=8 in.

radius r=8/2=4 in.

area of shaded region= πr^2=π×4²=16 π in²

≈16×3.14

≈50.24

≈50.2 in²

hii guys I'm sorry I am close to failin, and I sorry tay I'm asking a lot for questions :c ​

Answers

Answer:

A≈87.96

Step-by-step explanation:

A=2πrh+2πr2

= 2pi(2)(5) + 2pi(2)2

Answer:

Hello! answer: 87.92

Step-by-step explanation:

Im a little rusty on these but the answer I believe would be 87.92

2 × 2 × 3.14 = 12.56

2 × 2 × 3.14 = 12.56

4 × 3.14 = 12.56 12.56 × 5 = 62.8

12.56 + 12.56 + 62.8 = 87.92

Hope that helps!

find out the area and perimeter of circle of radius 7cm

Answers

Answer:

Step-by-step explanation:

radius, r = 7 cm

[tex]Area = \pi r^2 = \pi \times 7^2 = 49 \pi = 153.94 \ cm^2\\\\Perimeter = 2 \pi r = 2 \pi \times 7 = 43.98 \ cm[/tex]

Duncan is putting icing on the top of a rectangular cake if the top of the cake is 6 inches wide by 10 inches long what is the area of the top of the cake

A. 80 square inches

B.60 square inches

C.30 square inches

D. 120 square inches

Answers

Duncan is putting icing on the top of a rectangular cake if the top of the cake is 6 inches wide by 10 inches long what is the area of the top of the cake

A. 80 square inches

B.60 square inches

C.30 square inches

D. 120 square inches

Answer:

B- 60 square inches

Without doing any calculations, determine the missing number that will make the value of Expression B half the value of Expression A. A (8 + 54 + 91) × 12 B (8 + 54 + 91) × _____ Enter your answer in the box.

Answers

Answer:

6

Step-by-step explanation:

12÷2=6

Hope this helps! :)

6.) You are standing 50 meters from a hot air balloon that is
preparing to take off. The angle of elevation to the top of the
balloon is 28'. Find the height of the balloon.

Answers

Answer:

26.6 meters

Step-by-step explanation:

tan = opp/adj

tan28 = opp/50

50 * tan28 = opp

26.59 = opp

is x^(-3/7) equivalent to 7th root of (1/(x^3))

Answers

Answer:

Yes

Step-by-step explanation:

x^(-3/7) = 7th root of x^(-3) = 7th root of (1/x^3)

find all solutions of sin (x) = sec (x)

Answers

sin(x)=sec(x)
Sin(x)=1/cos(x)
Cos(x)•sin(x)=1
Sin(2x)/2=1
Sin(2x)=2

The solution is Option A.

The solutions of the trigonometric equation sin (x) = sec (x) is none because the range of sine is −1 ≤ y ≤ 1. Since 2 does not fall in this range, there is no solution

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric equation be represented as A

Now , the value of A is

sin ( x ) = sec ( x )   be equation (1)

On simplifying the equation , we get

sin ( x ) = 1 / cos ( x )

Multiply by cos ( x ) on both sides of the equation , we get

sin ( x ) cos ( x ) = 1

Now , the value of the trigonometric equation sin ( 2x ) = 2sin ( x ) cos ( x )

So , Substituting the values in the equation , we get

2sin ( x ) cos ( x ) / 2 = 1

sin ( 2x ) / 2 = 1

Multiply by 2 on both sides of the equation , we get

sin ( 2x ) = 2

Now , The range of sine is −1 ≤ y ≤ 1

So , there is no solution for the equation

Hence , the solution to the trigonometric equation is none

To learn more about trigonometric relations click :

https://brainly.com/question/14746686

#SPJ2

The points (6, 9) and (8, 11) fall on a particular line. What is its equation in slope-intercept form?

Answers

Answer: y = 1x + 3

Step-by-step explanation:

If you plot it, you see the slope is 1/1, and the y-intercept is at (0, 3).

Please please help me

Answers

Answer:

B) 27.2 m^2

Step-by-step explanation:

because to get the area of the parrelelogram, you use the formula (b)(h) or 6.8*4 to get 27.2.

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