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2 years ago

Solve the following equation: 7x– 9=19

Mathematics

2 answers:

Gelneren [198K]2 years ago

4 0

Answer:

x=4

Step-by-step explanation:

7x - 9 = 19

add 9 to both sides

7x = 28

divide by 7

x = 4

Sladkaya [172]2 years ago

4 0

Answer:

$x=4$

Step-by-step explanation:

First, you take the equation and add 9 to both sides ( $7x-9+9=19+9$ ) which will cancel out the 9 on the left side, and add onto the 19 which would be 28.

Next, you simplify the answer of that to get $7x=28$

After you divide 7 from both sides ( $\frac{7x}{7}=\frac{28}{7}$ )

Finally, after solving that division problem you will get the answer of the equation which is $x=4$

Brainliest pls?

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klasskru [66]

Answer:

5. When the dome is 50 feet high, the distance from the center is 5 feet

6. The equation that model the price y of an x-mile long ride is given as follows;

y = 0.1×x + $3.00

7. The discriminant is < 0; The equation has no real root

8. f(3) = 68

9. The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is f(x) = 7·x + 7

Step-by-step explanation:

5. The given equation for the shape of the dome is presented as follows;

h = -2·d² + 100

Where;

h = The height of the dome (in feet)

d = The distance from the center

Therefore, we have;

When h = 50, d is found as follows;

h = -2·d² + 100

50 = -2·d² + 100

50 - 100 = -2·d²

-50 = -2·d²

∴ 2·d² = 50

d² = 50/2 = 25

d = √25 = 5 feet

Therefore when the dome is 50 feet high, the distance from the center is 5 feet

6. The given rate the cab charges per mile, x = $0.10

The rate the cab charges as flat fee = $3.00

Therefore, the price, y a person traveling by cab for x miles is given by the straight lie equation as y = m·x + c,

Where;

m = the slope or rate which in this case = $0.1/hour

c = A constant term which in this case = $3.00

Therefore

y = 0.1×x + $3.00

The equation that model the price y of an x-mile long ride is y = 0.1×x + $3.00

7. The discriminant, b² - 4·a·c of the quadratic equation is (-4)² - 4×3×6 = -56

which is < 0, the equation has no real root

8. Given f(x) = 7·x² + 5

f(3) = 7 × (3)² + 5 = 68

f(3) = 68

9. The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is given as follows;

Down 4 units is equivalent to subtracting 4 from the y-coordinate value, therefore, we have;

f(x) - 4= 7·x + 3

f(x) = 7·x + 3 + 4

f(x) = 7·x + 7

The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is f(x) = 7·x + 7

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3 years ago

gabby's piggy bank contains dimes and nickels worth $6.40. If she has 84 coins in all, how many of each does she have?

Sergeu [11.5K]

If we let Q be the number of quarters and N be number of nickels, this is the formula we would use:
[1] 25Q + 5N = 635 (using cents instead of dollars)

We also know something about Q and N.

[2] Q + N = 51

So multiply both sides of the second equation by 5. The reason we do this is because we're going to need to cancel out one of the variables (either Q or N) to solve for the other one. If we multiply times 5, we'll have 5N in both equations.
5Q + 5N = 255

Now we have two equations, and the second one can be subtracted from the first.

25Q + 5N = 635
-(5Q + 5N) = -255
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20Q = 380
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Q = 19

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And since there are 51 coins in all, 51-19 = 32 nickels.

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2 years ago

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Answer:

a. Earnings of Enguun for 12 hours this month (G)

G = 204 dollars

b. Earnings of Enguun for 19.5 hours last month (G)

G = 331.5 dollars

Step-by-step explanation:

Nomenclature

G: Total earnings of Enguun in dollars

E: Enguun's earnings for 1 hour of tutoring (dollars/hour)

n: number of hours that Enguun tutored per month (hour/month)

Formula

G = E*n

E = $17 per hour = 17 dollars/hour

Problem development

a. Earnings of Enguun for 12 hours this month

n = 12 hours

G = E*n

$G= 17\frac{dollars}{hour} * 12 hour$ : We eliminate hours

G = 204 dollars

b. Earnings of Enguun for 19.5 hours last month

G = E*n

G = 17 * 19.5

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Answer:
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