Which graphed matches the equation y+ 6 =<br> 5 = 2 x + 4)?

In a two-digit number the tens digit is four less than the units digit. Seven times the tens digit plus five times the units dig

Iteru [2.4K]

The digits of the number are 7 and 3

Step-by-step explanation:

In a two-digit number:

The tens digit is four less than the units digit

Seven times the tens digit plus five times the units digit is equal to 56

We need to find the digits

Assume that the unit digit is x and the ten digit is y

∵ x represents the unit digit

∵ y represents the ten digit

∵ The ten digit is four less than the unit digit

- That means subtract 4 from the unit digit to get the ten digit

∴ y = x - 4 ⇒ (1)

∵ Seven times the tens digit plus five times the units digit is

equal to 56

- That means multiply the ten digit by 7 and the unit digit by

5 and add the two products and equate the sum by 56

∴ 7y + 5x = 56 ⇒ (2)

Now we have a system of equations to solve it

Substitute y in equation (2) by equation (1)

∵ 7(x - 4) + 5x = 56

- Simplify the left hand side

∴ 7x - 28 + 5x = 56

- Add the like terms in the left hand side

∴ 12x - 28 = 56

- Add 28 to both sides

∴ 12x = 84

- Divide both sides by 12

∴ x = 7

- Substitute the value of x in equation (1) to find y

∵ y = 7 - 4

∴ y = 3

∴ The number is 37

The digits of the number are 7 and 3

Learn more:

You can learn more about the system of equation in brainly.com/question/6075514

#LearnwithBrainly

3 0

4 years ago

BC¯¯¯¯¯ is parallel to DE¯¯¯¯¯.

Dmitrij [34]

CE/25 = 6/15
CE = 25 * 6 / 15
CE = 10

answer
CE = 10 units

6 0

4 years ago

C.) 4. Solve the system of equations

raketka [301]

You can set them equal to each other so -3x+4=4x-10 and then you add 3x and 10 on both sides and get7x=14 and then divided both sides by 7 and get x = 2 and check by plugging in and you get -2 for y on both so solution is x=2

7 0

3 years ago

Lucy received 56 of the 180 votes cast for class secretary. How many votes did she receive?

balandron [24]

If Lucky received 56 of 180 votes cast, she received 56. The answer is in the question.

3 0

3 years ago

An = a1 + (n - 1)d

yarga [219]

Answer:

The car will travel 1980 meters in 15 minutes.

Hence, option 'D' is true.

Step-by-step explanation:

Given that a car travels 300 meters in the first minute, so

a₁ = 300

Each minute after, the car travels 120 meters. , so the sequence becomes

a₁, a₂, a₃, a₄, a₅, ...

300, 420, 540, 660, 780, ...

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

computing the differences of all the adjacent terms

$20-300=120,\:\quad \:540-420=120,\:\quad \:660-540=120,\:\quad \:780-660=120$

The difference between all the adjacent terms is the same and equal to $d=120$

now, we have

a₁ = 300

d = 120

so substituting a₁ = 300 and d = 120 in the nth term of the sequence

$a_n=a_1+\left(n-1\right)d$

$a_n=120\left(n-1\right)+300$

$a_n=120n+180$

Thus, the nth term of the sequence is:

$a_n=120n+180$

<u>Determining the distance the car travels in 15 minutes</u>

As we have already determined the nth term of the sequence such as

$a_n=120n+180$

now substituting n = 15

$a_{15}=120\left(15\right)+180$

$a_{15}=1800+180$

$a_{15}=1980$

Therefore, the car will travel 1980 meters in 15 minutes.

Hence, option 'D' is true.

6 0

3 years ago

Which graphed matches the equation y+ 6 = 5 = 2 x + 4)?