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2 years ago

Whats y=6x-18y=4x-10

Mathematics

2 answers:

77julia77 [94]2 years ago

6 0

4x-10=6x-18
4x=6x-8
-2x=-8
x=4

y=6(4)-18
y=24-18
y=6

sesenic [268]2 years ago

5 0

1.) You add 18 to both sides 2.) You add 10 to both sides
y = 6x - 18 y = 4x - 10
+18 +18 +10 +10
then you divide by 6 then you divide by 4
18 = 6x 10 = 4x
/6 /6 /4 /4
where x is equal to 3 where x is equal to 2.5
x = 3 x = 2.5

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Answer:

55 hun...

Step-by-step explanation:

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2 years ago

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Joe’s annual income has been increasing each year by the same dollar amount the first year his income was 19,500. 8 years later

Anna007 [38]

Answer:

The question is either poorly constructed or it is a trick question. We do not know "In what year was his income 30,300" because the years correlating to his income are not disclosed. Even assuming the question was meant to be posed as "how many years later was his income 30,300" it is still flawed.

Step-by-step explanation:

To arrive at Joe's annual income increase, first subtract 19,500 from 27,900 to get 8400, which is his overall increase over the 8 years. Now divide 8400 by 8. You will get 1050. Beginning with his income of 27,900, add 1,050 to each successive income amount and you will get the following progression:

27,900, 28,950, 30,000, 31,050, 32,100, 33,150, 34,200, 35,250, 36,300.

Therefore, two years after his income was 27,900 it would be 30,000 and 6 years after that it would be 36,300. It would never be 30,300.

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3 years ago

Susan and Mark are standing at different places on a beach and watching a bird. The angles of elevation they make are 20º and 50

Mandarinka [93]

Answer:

The bird is 2.44km high

Step-by-step explanation:

Hello,

To solve this question, we need to understand how they are and we can only get this with a correct pictorial diagram.

See attached document for better understanding.

From the first diagram, we understand that the bird is between them and also on top of them.

Assuming Susan, Mark and the bird all form a triangle at each other and the bird at the top, we can divide the the triangle into two equal parts.

But before then, we should know that sum of angles in a triangle is equal to 180°

Therefore,

20° + 50° + b° = 180

70° + b = 180

b = 180° - 70°

b = 110°

Dividing angle b into two equal parts = 55° on each side.

See the last attached document for better illustration.

Using SOHCAHTOA, we can find the adjacent of the triangle which corresponds to the height of the bird.

We have opposite = 3.4km and we're looking for adjacent. We can use tangent of the angle to find the adjacent.

Tanθ = opposite / adjacent

Tan 55° = 3.5 / adj

Adjacent = 3.5 / tan55

Adjacent = 3.5 / 1.43

Adjacent = 2.44km

The height of the bird is 2.44km

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3 years ago

david is filling five (3)/(4 )bottles with a sports drink. His measuring cup only holds (1)/(4)quart. How many times will david

shepuryov [24]

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3 years ago

An athlete knows that when she jogs along her neighborhood greenway, she can complete the route in 10 minutes. It takes 20 minu

IgorLugansk [536]

Answer:

10 miles per hour.

Step-by-step explanation:

Let x represent athlete's walking speed.

We have been given that her jogging rate is 5 mph faster than her walking rate, so athlete's jogging speed would be $x+5$ miles per hour.

$\text{Distance}=\text{Rate}\cdot \text{Time}$

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While walking, we will get $D_{\text{walking}}=x\frac{\text{miles}}{\text{hour}}\cdot \frac{1}{3}\text{hour}$

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Since athlete is covering same distance while walking and jogging, so we can equate both expressions as:

$\frac{x}{3}=\frac{x+5}{6}$

Cross multiply:

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$3x=15$

$\frac{3x}{3}=\frac{15}{3}\\\\x=5$

Therefore, athlete's walking speed is 5 miles per hour.

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Therefore, athlete's jogging speed is 10 miles per hour.

3 0

3 years ago