1.) In a department store, a $120 belt is marked 25% off.
What is the discount?
What is the sale price of the dress?

Answer:

His error is adding 10 and 2/3 before multiplying by a(age of the tree)

Step-by-step explanation:

The sum of 10 and two-thirds of that tree's age, in years, is equal to 50.

Correct equation

Sum = addition (+)

two-thirds = 2/3

The tree's age = a

10 + 2/3a = 50

2/3a = 50 - 10

2/3a = 40

a = 40 ÷ 2/3

= 40 × 3/2

= 60

a = 60 years

Javier writes the equation

(10 + two-thirds) a = 50

(10 + 2/3)a = 50

(30+2/3)a = 50

32/3a = 50

a = 50 ÷ 32/3

= 50 × 3/32

= 150/32

a = 150/32

His error is adding 10 and 2/3 before multiplying by a(age of the tree)

Answer:

His error is adding 10 and 2/3 before multiplying by A...

Answer:

The length of the bridge is 300 feet.

Step-by-step explanation:

Let A represent the length of one leg.

Let B represent the length of the other leg (i.e length of the bridge)

Let C represent the length of the Hypothenus.

From the question given above, the following data were obtained:

Length of Hypothenus (C) = 340 feet.

Length of one leg (A) = 160 feet.

Length of the bridge (B) =.?

The length of the bridge can be obtained by using the pythagoras theory as illustrated below:

C² = A² + B²

340² = 160² + B²

115600 = 25600 + B²

Collect like terms

115600 – 25600 = B²

90000 = B²

Take the square root of both side

B = √90000

B = 300 feet

Therefore, the length of the bridge is 300 feet

Answer:

whats the question

Step-by-step explanation:

whats the question

Answer:The rest of the question is: Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?

Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

Step-by-step explanation:

Took the test

Work Shown:

[tex]x = 3\sqrt{5}*3\sqrt{2}\\\\x = (3*3)(\sqrt{5}\sqrt{2})\\\\x = 9\sqrt{5*2}\\\\x = 9\sqrt{10}\\\\[/tex]

The rule used on line 3 is [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]

Answer:

Atomic mass unit-

It is represented by ‘amu’. It is equal to the quantity 1/12th mass of an atom of C-12.

Actual mass of one atom of C-12 = 1.9924 x 10-23 gm. = 1.9924 x 10-26 Kg.

1 amu = 1.9924 x 10 -23/12 = 1.66 x 10 -24 gm. = 1.66 x 10 -27 Kg.

Atomic mass of an element = mass of one atom of the element / 1 amu

Actual mass of an element = atomic mass of an element in amu x 1.66 x 10 -24 gm.

For ex-

Actual mass of hydrogen atom = 1.008 x 1.66 x 10 -24 gm. = 1.6736 x 10-24 gm.

Actual mass of oxygen atom = 16.00 x 1.66 x 10 -24 gm. = 2.656 x 10-23 gm.

Average Atomic weight (Mass)-

“The Average Atomic Masses of many elements are determined by multiplying the atomic mass of each isotope by its fractional abundance and adding these values and then dividing it by 100.”

Ex.- Naturally occurring carbon contains three isotopes – C12 (98.892 % abundance), C13 (1.108 % abundance), C14 (2 x 10-10 % abundance).The relative atomic masses of these isotopes are 12.000, 13.00335 and 14.00317 amu respectively.

Average atomic mass = % of I isotope x its atomic mass + % of II isotope x its atomic mass +% of III isotope x its atomic mass/100

= 12 x 98.892 + 13.00335 x 1.108 + 14.00317 x 2 x10-10 /100

Average atomic mass= 12.011 amu

Molar volume –

Molar volume of a substance is volume occupied by 1 mole of that substance .

Molar volume of solid or liquid = molar mass / density

Molar volume of ideal gas at 00C or 273 K and 1 atmosphere pressure is 22.4 litre.

Gram atomic mass(weight) or gram atom –

“Gram atomic mass(weight) of an element is the mass of Avogadro number ( 6.023 x 1023 ) of atoms of that elements in grams.”

Ex –

mass of 1 atom of oxygen = 16 amu = 16 x 1.66 x 10-24 gm

Mass of 6.023 x 1023 atoms of oxygen= 16 x 6.023 x 1023 x 1.66 x 10-24 = 16 gm.

Hence, Gram atomic weight of oxygen = 16 gm.

No. of gram atoms = mass of element in gm / atomic mass of element in gm.

Answer:

Step-by-step explanation:

The first and last one

Answer:

14 minutes below or 6 minutes above

Step-by-step explanation:

Let's say Sophia's time was 10 minutes WORSE

4 minutes below average- 10 minutes= 14 minutes below average

Let's say Sophia's time was ten minutes BETTER

4 minutes below average + 10 minutes= 6 minutes above average.

Hope this helps!

14 minutes below the average

6 minutes above the average

=====================================================

Let A = average running time

Jacob's time was 4 minutes under the average, so his time is A-4 minutes. Whatever A is, subtract off 4, and you'll get Jacob's time.

Sophia and Jacob have a difference of 10 minutes. If J = Jacob's time and S = sophia's time, then S-J = 10 or J-S = 10 depending on who has the larger time.

We can use absolute value to ensure that whatever we pick (S-J or J-S) will be positive. So |S-J| = 10. Recall that absolute value represents distance on a number line. Negative distance isn't possible.

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

Let's plug in J = A-4 and solve for S

|S-J| = 10

|S - ( J )| = 10

|S - (A-4)|

|S-A+4| = 10

S-A+4 = 10  or  S-A+4 = -10

S-A = 10-4  or  S-A = -10-4

S-A = 6  or  S-A = -14

S = A+6 or S = A-14

The equation S = A+6 shows Sophia is 6 minutes above the average

The equation S = A-14 shows Sophia is 14 minutes below the average

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

Let's pick some number for A that is over 14 minutes. Let's say the average running time is A = 20 minutes.

If A = 20, then Jacob's time is J = A-4 = 20-4 = 16

If the average running time is 20 minutes, then Jacob ran for 16 minutes.

If we subtract 10 from this, then J-10 = 16-10 = 6 is one possible time for Sophia. Notice how this is 14 minutes below the average (20-14 = 6)

If we add 10 to Jacob's time, then J+10 = 16+10 = 26, which is 6 minutes overage the average (20+6 = 26)

This is one numeric example, but you could use any value of A that you want as long as it's larger than 14. The reason A has to be larger than 14 is to ensure that Sophia's lower time value (A-14) is not negative. Having a time of zero is not feasible either.

Answer:

$45

Step-by-step explanation:

ratio is 3:5

David gets 3x, Jack gets 5x

So, 3x+5x=120

8x=120

x=15

David got 3x = 3*15 = $45

Answer:

45$

Step-by-step explanation:

120/8=15

15*3=45

because it is 3:5 ratio

Answer:

I believe that the answer is number 2

Step-by-step explanation:

Answer:

x<0.5

Step-by-step explanation:

this is just like simplifiying equations if you've done that before

first you want to isolate the variable, so you want to combine the values of x (in this case it's 6x and the -2x)

so you can either add 2x to both sides or you can subtract 6x on both sides, in this case ill just add 2x to both sides.

Then you subtract 3 from both sides to get 8x<4

after you get that, you want to divide both sides by 8, and you generally want to do that step last, it makes it easier, and you get x<1/2 or 0.5

just a reminder that with working with inequalities, you want to remember to flip the direction the inequality is whenever you divide by a negative number

Answer:

the answer is 9 so yeah.....

Answer:

you did not out the full equation so I am not able to solve your problem.

If you put the full problem I will try to solve and walk you through it.

Answer:

The answer is 2 inches

Step-by-step explanation:

U just have to divid 20 by 10 and you get ur answer

Answer:

[tex]\longrightarrow 5n+1\longleftarrow[/tex]

Step-by-step explanation:

[tex]f(n)=2n+1\\\\g(n)=3n\\\\f(n)+g(n)=?\\\\\longrightarrow (2n+1)\longleftarrow\\\\+\longrightarrow (3n)\longleftarrow\\\\f(n)+g(n)=2n+1+3n\\\\=(2n+3n)+1\\\\=(2+3)n+1\\\\=5n+1\longleftarrow \\\\\dagger[/tex]

Answer:

[tex]\boxed {\tt f(n)+g(n)=5n+1}[/tex]

Step-by-step explanation:

We want to find f(n) + g(n) . Basically, we have to find the sum of f(n) and g(n).

[tex]f(n)+g(n)[/tex]

We know that:

[tex]f(n)=2n+1\\g(n)=3n[/tex]

Therefore, we can substitute 2n+1 in for f(n) and 3n in for g(n)

[tex](2n+1)+(3n)[/tex]

Combine like terms. The terms 3n and 2n both have a "n" so they can be combined.

[tex](2n+3n)+(1)[/tex]

[tex](5n)+1[/tex]

[tex]5n+1[/tex]

f(n)+g(n) is equal to 5n+1

Answer:

D.) y=-x-2

Step-by-step explanation:

Answer:

D.) y=-x-2

Step-by-step explanation:

Trust me I just know

Answer:

X = 27

Step-by-step explanation:

10, 20, 32, 37, 50, 60

First things first, take off 10, 20, 50, and 60.

Now, you remain with 32 and 37. Now from here it is simple.

Average of 32 and 37 = 34.83

Round 34.83 to 35

32 averaging 37 (Rounding Terms) ≈ 35

So X is 27

Answer:

Reflection across the x-axis

Step-by-step explanation:

Answer:

I believe that g=dc

Step-by-step explanation:

You swap positions with g and c along with their sign of operation.

Answer:

35 minutes a day.

Step-by-step explanation:

4*7=28

980/28=35

Answer:

35

Step-by-step explanation:

980 divided by 28 (days in a month)

Answer:

Sure! Can you tell me the digits of pi?

Step-by-step explanation:

Answer:

84°

Step-by-step explanation:

I know that the other angle (not x) is 48 because the lengths are the same of 2 sides. Therefore I can use 180-48-48 to get 84, the correct answer.

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The angles 2 and 3 are corresponding angles. So it's choice C.

Tip: Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.

Answer:

answer is 5

Step-by-step explanation:

Answer: go to Cymath

Step-by-step explanation: This helped me with like everything in math class! It gives you step by step answers

Answer:

math is tricky but itsall in your head jk you got this

Step-by-step explanation:

Answer:

C. 6 1/2

Step-by-step explanation:

your formula: V=lwh

(turn your fractions into improper numbers)

13/6*6/5*5/2= 13/2= 6 1/2

Answer:

Infinity

Step-by-step explanation:

It is equal to nothing.

2x+2=2x+2

-2x     -2x    

2=0x+2

-2      -2

0=0

Answer:

( − ∞ , ∞ )

Step-by-step explanation:

Distribute the 2 in 2 (x+1)

2 ⋅ x = 2 x

2 ⋅ 1 = 2

Combine:

2 x + 2

Equation is now:

2 x + 2 = 2 x + 2

Subtract 2 from both sides of the equation:

2 x = 2 x

Divide both sides by 2:

x=x

Both sides of the equation are the same:

x = x

Any real number or:

( − ∞ , ∞ )

Answer:

Caleb's net monthly income would be $541.64

Step-by-step explanation:

His monthly take home pay from restaurant is $501.64

Since he earns additional $40 per month for dog walk,

Therefore, his monthly pay would be ;

= $501.64 + $40

Caleb's net monthly income =$541.64

Caleb's monthy regular expenses including car insurance and books is

$355.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

From the given information, The total net earnings of Caleb is,

= $(501.64 + 40).

= $541.64.

Now, The expenses for Car insurance, Gas, and cell phone recharge is,

= $(110 + 65 + 30).

= $205.

Again, For books and personal needs, he have to spend $(300 + 600).

= $900.

Monthly it is,

= 900/6.

= $150.

Therefore, Caleb's regular expenses is,

= $(205 + 150).

= $355.

learn more about equations here :

https://brainly.com/question/10413253

#SPJ2

Answer:

2 i think. :D

Step-by-step explanation: