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3 years ago

5 times a number less 7 is equal to 7 times the number plus 13. Find the number

Mathematics

2 answers:

Arturiano [62]3 years ago

7 0

7 - 5X = 7X + 13

7 = 12X + 13

-6 = 12X

-2 = X

My name is Ann [436]3 years ago

4 0

Your answer would be -10 I believe.

5x-7 = 7x+13
2x = -20
x = -10

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The temperature of a cup of coffee varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T min

denis23 [38]

Answer:

(b) 67

Step-by-step explanation:

A solution to the differential equation describing the temperature according to Newton's Law of Cooling could be written as ...

T = (final temp) + (initial difference)×(decay factor)^t

where the decay factor is the fraction of change during 1 unit of time period t.

Here, the initial difference of 100-25 = 75 degrees decays to 90-25 = 65 degrees in 1 minute. So, the units of t are minutes, the decay factor is 65/75, the initial difference is 75 degrees, and the final temperature is 25 degrees. That lets us write the equation as ...

T = 25 +75(65/75)^t

Then for t=4, the temperature is ...

T = 25 +75(13/15)^4 ≈ 67.3 . . . . degrees

After 4 minutes the temperature of the coffee is about 67 degrees.

4 0

2 years ago

If a finance professional recommends that you save 10% of your income each month and Julie spends 30% on rent and 40% on all oth

german

Answer:

The percentage of income she should use on the rest of her expenses=20%

Step-by-step explanation:

Step 1: Determine her total income

Let her total percentage income be =100%

Step 2: Determine amount of each expense

The amount of each expense can be expressed;

Amount of each expense=percentage of total expense×total income

a). Savings

percentage expense on savings=10%

b). Rent

percentage expense on rent=30%

c). Fixed expenses

percentage expense on fixed expenses=40%

d). The rest expenses

percentage expense on the rest=x

Step 3: Calculate total percentage income

Total percentage income=percentage on savings expenses+percentage on rent expenses+percentage on fixed expenses+remainder

replacing;

Total expenses=(10+30+40+x)=x+80

Total percentage income=100%

Step 4: Get remaining percentage amount of her income

(100)=(x+80)

x=100-80

x=20

The percentage of income she should use on the rest of her expenses=20%

3 0

3 years ago

What are the values of X and Z.

stiv31 [10]

Answer:

x = 12, z = 86

Step-by-step explanation:

Two angles are called supplementary when their measures add up to 180 degrees.

(12x -58 + 13x - 62 ) = 180°

12 x + 13x -58 - 62 = 180°

25x - 120 = 180

25x = 180 + 120

x = 300/ 25

x = 12

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

(z° + 13x - 62) = 180

(z° + 13(12) - 62 )= 180

(z° + 156 - 62 )= 180

(z° + 94 ) = 180

z° = 180 - 94

z = 86

5 0

3 years ago

Which table represents of a linear function?

xz_007 [3.2K]

Answer:

X | Y

2 | 7

4 | 9 <-- linear.

6 | 11

8 | 13

A linear function is when there is an even consonant decline or up-rise.

X | Y

1 | 2

2 | 4 <-- also linear.

3 | 6

4 | 8

5 0

2 years ago

The sum of 28+29+42=99. So what addition property was used Commutative, associative, identity, or distributive ?

IrinaVladis [17]

28 + 29 + 42 = 28 + 42 + 29 = 99

Commutative property: a + b = b + a

3 0

3 years ago