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Degger [83]
3 years ago
14

If the sum of a number and 6 is multiplied by 5, the result is same as 9 times the number decreased by 2. find the number.

Mathematics
1 answer:
kogti [31]3 years ago
3 0
Let's do an equation. 5(x+6)=9x-2. Now distribute into parentheses. 5x + 30=9x-2. Now -5x on both sides. New equation is 4x-2=30. Add 2 on both sides. 4x=28. Now divide by 4. X=8. Your number is 8
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I have been trying to solve problem 5 and 6 for 30 mins​
jeyben [28]

Answer:

#5

x = 45

E

Step-by-step explanation:

Theorems you need:

  • The measures of 2 adjacent angles that form a straight line with the outer sides add up to 180°.
  • The sum of the interior angles of a triangle add up to 180° ((n-2)×180).

#5

Knowing those, you first want to find the triangle's 3 interior angles.

The angles <QSO & <QSR are adjacent (share a common ray) and form a straight line with the outer rays, therefore they add up to 180.

So m<QSO+m<QSR=180.

Rewrite the equation: m<QSR=180-m<QSO

Plug the known value in: m<QSR=180-(3x-17)

Distribution & Combining like terms: m<QSR=180-3x+17=197-3x

Now solve for the 3 interior angles to equal 180.

(197-3x)+(25)+(2x+3)=180

Combine like terms: 225-x=180

Isolate the x term (-225 to both sides): -x=180-225=-45

Isolate the x (×-1 to both sides):

x=45

6 0
3 years ago
HELP IN TEST PLZ BRAINLY PLZ
Bingel [31]

Answer:

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Step-by-step explanation:

5 0
3 years ago
What is the area of this rectangle? A rectangle that is partitioned into two rectangles. The first rectangle has a measurement o
fiasKO [112]

Answer:

80 square meters

Step-by-step explanation:

A rectangle that is partitioned into two rectangles; rectangle A and rectangle B

Rectangle A:

Top = 5 meters

Side = 8 meters

Area of rectangle A = length × width

= 5 meters × 8 meters

= 40 meters ²

Rectangle B:

Top = 5 meters

Side = 8 meters

Area of rectangle B = length × width

= 5 meters × 8 meters

= 40 meters ²

Total area of the partitioned rectangle = area of rectangle A + area of rectangle B

= 40 meters ² + 40 meters ²

= 80 meters ²

6 0
3 years ago
$248.62 rounded to the nearest dollar
nata0808 [166]

$249.......................................

7 0
3 years ago
Read 2 more answers
Chris took a vacation trip to maine, where sales tax on taxable items is 5%. in maine, prepared food and lodging are taxed an ad
12345 [234]
So, it's just an annoying problem. Keep the tax rates in mind for each thing.
$70 of souvenirs mean the tax is 5% since it is not prepared food, lodging, or auto rentals.
$580 on prepared food means that has 7% tax because it is special.
$620 on the car has a 10% tax, as stated in the problem.
So do 70(1.05)+580(1.07)+620(1.1) to get $1376.1.0

6 0
3 years ago
Read 2 more answers
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