Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their
ages is 92. Which equations could be used to find Hannah's age, h, if she is the older sibling?

Answers

Answer 1

Answer:

2h-2=92 and h-2=92-h.

Step-by-step explanation:

Hannah, h, is the older sibling and their ages are consecutive odd integers. This means that Anthony's age will be 2 less than Hannah's, or h-2.

The sum of these would be h+(h-2), giving us the equation h+(h-2)=92.

 

Combining like terms we would have the first correct choice, 2h-2=92.

Our first equation can be transformed, however, to have (h-2) by itself. To do this, we would subtract h from both sides, giving us h-2=92-h.

Answer 2

The equation that will represent the sum of the age of Hannah and Anthony will be 2x+2=92.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the age of Hannah be x. and Since the age of Hannah and Anthony are two consecutive odd integers, therefore, the age of Anthony will be (x+2).

As it is given that the sum of the ages of the two other person is 92, therefore, the equation that will represent the sum of the age of the two persons can be written as,

[tex]x+(x+2)=92\\\\x+x+2=92\\\\2x+2=92[/tex]

Thus, the equation that will represent the sum of the age of Hannah and Anthony will be 2x+2=92.

Learn more about Equation:

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Related Questions

Algebra roller coaster building it most state from the ground and it have to be 100ft

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Answer:

sa taas nito ay 50 square meter kung pagbabasihan mo sa ibaba 55 square meter malaki rin sa baba kaya ang tawag dyaan ay centementer

I hope I can help you and give me a star even if I am only 5 or 4 stars and please put a heart for many

Find the slope of the line passing through each of the following pairs of points (0,7), (0,-8)

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is unidentified

Step-by-step explanation:

I checked ;)

help, I need help really bad

Answers

Answer:

135

Step-by-step explanation:

you need to explain the actual question and not put an image without context

Answer:

angle a = 70

angle b = 45

angle c = 65

Step-by-step explanation:

Now we will try to find the measure of the unknown angle together. Starting with angle b.

Angle b and 135 make a 180 angle together therefore the following expression.

angle b + 135 = 180

b = 45

Now that we have angle be we can try to find angle a. As we know, vertical angles are always equal to one another. Angle a and 70 are vertical to each other.

a = 70

Now that we have angle a and b we can finally find c. A triangle is the a sum of 180 degrees so, a + b + c = 180

70 + 45 + c + 180

c = 65



Jollibee employs a total of 10 cashiers and 15 kitchen crews. The manager selects a team of 2 cashiers and

4 kitchen crews for a graveyard shift. In how many ways can the manager select a team?

Answers

Answer:

The manager can select a team in 61425 ways.

Step-by-step explanation:

The order in which the cashiers and the kitchen crews are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In how many ways can the manager select a team?

2 cashiers from a set of 10.

4 kitchen crews from a set of 15. So

[tex]T = C_{10,2}*C_{15,4} = \frac{10!}{2!(10-2)!}*\frac{15!}{4!(15-4)!} = 45*1365 = 61425[/tex]

The manager can select a team in 61425 ways.

PLS ANSWER IN 5 MINS
I WILL MARK BRAINLIEST
THE QUESTION IS IN THE PICTURE I ATTACHED

Answers

Answer:

[tex]\frac{19}{14}x + \frac{97}{56}[/tex] =

^^^hope this helps! :)

0.36 divided by 2.34

Answers

Answer:

0.15384615384

Step-by-step explanation: Often times, this number will be rounded to the nearest hundreth to be .15

Answer:

=0.1538461538461538

Step-by-step explanation:

Hope this helps (:

(282-14*3*6)/(6) -(21-18)

Answers

Answer:

2

Step-by-step explanation:

( 282 - 14 ⋅ 3 ⋅ 6 ) / ( 6 ) - ( 21 - 18 )

= 30/( 6 ) - ( 21 - 18 )

= 30/( 6 ) - 3

[tex]=\frac{30}{6} -3[/tex]

= 2

Answer:

[tex]27[/tex]

Step-by-step explanation:

1) Simplify 14 × 3 to 42.

[tex]282 - 42 \times 6 - (21 - 18)[/tex]

2) Simplify 21 - 18 to 3.

[tex]282 - 42 \times 6 - 3[/tex]

3)Simplify 42 × 6 to 252.

[tex]282 - 252 - 3[/tex]

4) Simplify 282 - 252 to 30.

[tex]30 - 3[/tex]

5) Simplify.

[tex]27[/tex]

Therefor, the answer is 27.

Kevin is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up 1.75 gallons of gas. How much gas would be in the tank after driving for 5 hours? How much gas would be left after t hours?

Answers

Answer:

He would have 2.75 gallons left after 5 hours.

Step-by-step explanation:

Hurry pls need answers
10pts

Answers

Answer:

Why is the pic black

Step-by-step explanation:

Please help with explanation

1/3 of Cheryl’s savings was the same as 3/4 of Hilda’s savings.Cheryl saved $36.

(a) Find the ratio of Cheryl’s savings to Hilda’s savings.

(b) How much did Hilda save?

Answers

Answer:

a) the ratio is 9:4

b) Hilda did save $16.

Step-by-step explanation:

Let's define the variables:

C = Cheryl's savings.

H = Hilda's savings.

We know that:

(1/3)*C = (3/4)*H

We also know that Cheryl saved $36, then we have:

C = $36

Now we can replace that in the above equation to get:

(1/3)*$36 = (3/4)*H

$12 = (3/4)*H

$12*(4/3) = H = $16

Then Hilda did save $16.

And the ratio between of Cheryl's savings to Hilda's savings is:

36 : 16

We can simplify this if we divide both by 2.

(36/2) : 16/2

18 : 8

Again, we can divide both by 2:

(18/2) : (8/2)

9 : 4

Then the ratio is 9 : 4

What is the polar form of -3 + sq rt 3i?

Answers

Answer:

(√12,-π/6)

Step-by-step explanation:

r^2 = 9+3 = 12

tanθ = √3/-3 = -1/√3

Answer:

D

Step-by-step explanation:

Correct on edge

What is the solution of the equation 5* - 1 = 45? Round your answer to the nearest ten-thousandth.

Answers

What does the * mean

Answer:

The answer is 3.3652

Step-by-step explanation:

Find the number in the thousandth place  

5

and look one place to the right for the rounding digit  

2

. Round up if this number is greater than or equal to  

5

and round down if it is less than  

5

.

3.365

A. It takes 86 pounds of seed to completely plant a 9-acre field. How many pounds of seed are needed per acre?

B. At Garcia's Bike Rentals, it costs $27 to rent a bike for 6 hours.
How many hours of bike use does a customer get per dollar?

Answers

Answer:

A. about 9.6 pounds of seeds

B. $4.5 per hour

Step-by-step explanation:

What is the missing constant term in the perfect square that starts with x^2 + 10z

Answers

Answer:

25

Step-by-step explanation:

i think you mean +10x

but (x+a)^2 = x^2 + 2ax + a^2

2ax = 10x

ax = 5x

a = 5

so (x+5)^2 = x^2+10x+25

A new car is purchased for 20700 dollars. The value of the car depreciates at 11% per year. What will the value of the car be, to the nearest cent, after 11 years?

Answers

Answer:

The answer for that is 5744.61

What is 5/10 = x/100

Answers

Answer:

= 50

Step-by-step explanation:

What the top guy said

Q3
Work out the volume of each of these items:
a) a bag of sugar of mass 1000 g and density 1.6 g/cm
b) a packet of margarine with density 2.8 g/cm and mass 250 g

Answers

Answer:

Step-by-step explanation:

1000 g × (1 cm³)/(1.6 g) = 1000/1.6 cm³ = 625 cm³

:::::

250 g × (1 cm³)/(2.8 g) = 89.3 cm³

What would be the most logical first step for solving this quadratis equation?
x²+2x+13= -8

Answers

Answer:

B. Add 8 to both sides

Step-by-step explanation:

So you can have 0 at the other end and factor it properly.

Answer:

subtract 13 from both sides

Step-by-step explanation:

subtract 13 so that you will have all of the x's on one side and all of the constant numbers on the other side of the equal sign.

Can you guys help me and answer this math question below please I’ll mark brainliest to whoever answers

Answers

the answer to this problem is (2,4)

Answer:

Your answer will be (2,4) :)

Solve the right triangle round your answer to the nearest tenth

Answers

Answer/Step-by-step explanation:

✔️A = 180° - (50° + 90°) (sum of triangle)

A = 40°

✔️Find a:

Reference angle = 50°

Opposite = 17

Adjacent = a

Therefore, using trigonometric ratio, we have the following:

Tan 50 = 17/a

a = 17/tan 50

a = 14.3 (nearest tenth)

✔️Find c using Pythagorean Theorem:

c² = a² + b²

c² = 14.3² + 17²

c = √493.49

c = 22.2 (nearest tenth)

PLZ HELP ME YOU GUYS ARE MY ONLY HOPE!!! I WILL GIVE BRAINLIEST PLZ ANSWER<3
2a+3c=5a+2c=1

There is an ordered pair that is the solution of the system of equations shown. The value of one of the variables in the solution of the system can be obtained by using which of the following substitutions?

Answers

Answer:

a = 9, c = -4?

Step-by-step explanation:

i think these are the two equations, let me know if i'm wrong

2a + 3c = 5; a + 2c = 1

rearrange second equation : a = -2c +1

plug in:

2(-2c +1) +3c = 5

-4c +1 +3c = 5

-c +1 = 5

-c = 4

c = -4

a + 2(-4) = 1

a - 8 = 1

a = 9

a=9, c=4 is the answer good luck

3. What is slope of the line above?
4. What is slope of the line above?


help!

Answers

The answer is

3.) -1/2
4.) 4/3


What decimal does the model represent?
The model below is shaded to represent 2
A 25.6
2.056
2.56
0.256

Answers

Answer:

2.56

Step-by-step explanation:

The answer is 2.56 tyytttttggggg

Exercise 2.4.2: Proving statements about rational numbers with direct proofs. About Prove each of the following statements using a direct proof. (a) The product of two rational numbers is a rational number. Solution (b) The quotient of a rational number and a non-zero rational number is a rational number. Solution (c) If x and y are rational numbers then is also a rational number.

Answers

Answer:

See Explanation

Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

[tex]A = \frac{1}{2}[/tex]

[tex]B = \frac{2}{3}[/tex]

The product:

[tex]A * B = \frac{1}{2} * \frac{2}{3}[/tex]

[tex]A * B = \frac{1}{1} * \frac{1}{3}[/tex]

[tex]A * B = 1 * \frac{1}{3}[/tex]

[tex]A * B = \frac{1}{3}[/tex]

Proved, because 1/3 is rational

(b) Proof: Quotient of a rational number and a non-zero rational number

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

[tex]A = \frac{1}{2}[/tex]

[tex]B = \frac{2}{3}[/tex]

The quotient:

[tex]A / B = \frac{1}{2} / \frac{2}{3}[/tex]

Express as product

[tex]A / B = \frac{1}{2} / \frac{3}{2}[/tex]

[tex]A / B = \frac{1*3}{2*2}[/tex]

[tex]A / B = \frac{3}{4}[/tex]

Proved, because 3/4 is rational

(c) x + y is rational (missing from the question)

Using direct proofs.

Let x and y be

Such that:

[tex]x = \frac{1}{2}[/tex]

[tex]y = \frac{2}{3}[/tex]

The sum:

[tex]x + y = \frac{1}{2} + \frac{2}{3}[/tex]

Take LCM

[tex]x + y = \frac{3+4}{6}[/tex]

[tex]x + y = \frac{7}{6}[/tex]

Proved, because 7/6 is rational

The above proof works for all values of A, B, x and y; as long as they are rational values

Pls help I’ll brainlest

Answers

Answer:

8

Step-by-step explanation:

Jeremiah bought x toy sets for $20 each and then a video game for $60. Jeremiah spent a total of $220. How may toy sets did he buy?

To find our answer, we can solve the equation:

20x + 60 = 220

        -60    -60

20x = 160

/20    /20

x = 8

Jeremiah bought 8 toy sets!

I hope this helps :)

A restaurant chef made 4 1/2 pints of mushroom soup Each bowl of soup holds 1/2 of pint. How many bowls of soup will.the chef be able to fill?

Answers

Answer:

4 2/4

Step-by-step explanation:

4 1/2 + 1/2 = 4 2/4

i just added em up

Answer:

Step-by-step explanation: 4 1/2 pints / 1/2 pint/ bowl = (9/2) / (1/2) = 9/2 pints x 2 bowl/pint = 18/2 bowls = 9 bowls. QED.

CEOLATIONS AND INEQUALITIES
Finding angle measures of a triangle given angles with variables
In the triangle below, suppose that m U=(x+9)°, m = (2x+1), and mW=(7x)".
Find the degree measure of each angle in the triangle.

Answers

Answer:

seventeen degrees(17⁰)

Expression Name
Expression
E
–8 + 4∕7
F
7 – 0.5
G
9 + (–3)
H
3.8 – 6.7

The table above shows four numeric expressions. Which expression is an integer when it's evaluated?

Answers
A)

H

B)

F

C)

E

D)

G

Answers

Answer:

G

Step-by-step explanation:

9+(-3) = 6

Find the diffrence between 7/8 and 1/2 and find the sum of 1/5 and 2/3

Answers

Answer:

3/8 and 13/15

Step-by-step explanation:

find the common denominator

Rachel jogged along the trail that was 1/4 of a mile long she jogged along the trail eight times how many miles did Richel jog

Answers

Answer:

Step-by-step explanation:

8 laps × (¼ mile)/lap = 2 miles

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