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posledela
3 years ago
14

Does a two-digit number exist such that the digits sum to 9 and when the digits are reversed the resulting number is 9 greater t

han the original number? Identify the system of equations that models the given scenario.
Mathematics
2 answers:
tangare [24]3 years ago
4 0

Answer:

the answer is

t + u = 9

10t + u = 10u + t – 9

Step-by-step explanation:

dedylja [7]3 years ago
3 0

Answer:

it is a just got done taking it

Step-by-step explanation:

You might be interested in
1: What is Abby's total spent on transportation?
stealth61 [152]

Answer:

1. Total spent on transportation $222.2.

2. $ 192.5

3. She spends $30 over the guideline.

Step-by-step explanation:

As per the image attached:

Total monthly spent on transportation = Total monthly car payment + Spent on gas fuel

Total monthly spent on transportation = 120 + 37.9 + 28.4 + 35.9 = $222.2

So, Answer 1. Abby's total spent on transportation = $222.2

Calculating the percentage:

\Rightarrow \dfrac{\text{Spent on transportation}}{\text{Total monthly income}}

\Rightarrow \dfrac{222.2}{1750}\times 100 =12.69\%

Calculating 11% as per the guideline:

1750 \times \dfrac{11}{100}\\\Rightarrow \$192.5

Answer 2. As per the guideline, she should spend $192.5 on transportation.

Difference between spending and guideline = $222.2 - $192.5 = $29.7

Answer 3. She spends $29.7 over the guideline.

8 0
2 years ago
In Mona’s new video game she earns 30 points for each fish caught and 80 points for each octopus captured, but she loses 15 poin
Aleksandr-060686 [28]
If x is fish, y is octopi, and z is crabs, then you would have to know the numbers.
Then your answer would be c. 30x+80y-15z.
Because x=+30, y=+80, and z=-15.
I hope that helps. If you need any further help on this problem just ask.
5 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through (2, 7) and is perpendicular to y= -5
timofeeve [1]

Answer:

x = 2

Step-by-step explanation:

y = - 5 is a horizontal line parallel to the x- axis.

A line perpendicular to it will be a vertical line parallel to the y- axis with equation

x = c

Where c is the value of the x- coordinates the line passes through.

The line passes through (2, 7) with an x- coordinate of 2, thus

x = 2 ← is the equation of the perpendicular line

5 0
3 years ago
Given cos ⁡ ( θ ) = 5/6 , then sin ⁡ ( θ ) = a/b .<br><br> Determine the values of a and b.
slega [8]

Answer:

a = √11 and b = 6

Step-by-step explanation:

Refer to attached picture for reference

for an right triangle with angle θ

we are given

cos θ = 5/6 = length of adjacent side / length of hypotenuse

hence

adjacent length = 5 units

hypotenuse length = 6 units

the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:

hypotenuse ² = adjacent ² + opposite²   (rearrange)

opposite ² = hypotenuse ² - adjacent ²

opposite ² = 6² - 5²

opposite = √ (6²-5²) = √11

sin θ = opposite length / hypotenuse  (substitute values above)

sin θ = √11 / 6

hence a = √11 and b = 6

3 0
2 years ago
A 12-kg bag of mangoes costs $9.00
Nookie1986 [14]

Answer:

I think it would be around $1.33 for each kg

Step-by-step explanation:

You would divide 12 by 9. Once you do that, you get 1.33

6 0
2 years ago
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