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dedylja [7]
3 years ago
13

The value of y varies directly with x, where LaTeX: y=50y = 50 when LaTeX: x=40x = 40. Find the value of x when y is 10.

Mathematics
1 answer:
Xelga [282]3 years ago
5 0

Answer:

x= 8

Step-by-step explanation:

The equation of direct variation is

y = kx

When y = 50  when x = 40

50 = k* 40

Divide each side by 40

50/40 = k

5/4 = k

The equation is

y = 5/4x

Let y = 10

10 = 5/4x

Multiply each side by 4/5

4/5 * 10 = 5/4 x * 4/5

8 = x

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Which equation represents the line through (-8, 10) and (3, 7) in point-slope form?
alina1380 [7]

-3/11

Step-by-step explanation:

7-10/3-(-8)

7-10/3+8

7 0
3 years ago
Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards. How far did Tanya run?
Yuliya22 [10]

Tanya run 50 yards across the diagonal of the rectangular field.

<u>Step-by-step explanation</u>:

Step 1 :

  • Length of the rectangular field = 40 yards
  • width of the rectangular field = 30 yards

Step 2 :

Measure of the diagonal = √(length^2 + width^2 )

Step 3 :

Diagonal = √(40^2 + 30^2 )

               = √(1600 + 900)

               = √2500

               = ±50

Step 4 :

Since distance cannot be negative, The measure of diagonal = 50 yards.

∴ Tanya runs diagonally across a rectangular field is 50 yards.

4 0
3 years ago
Evaluate -3- (-4) - (-2) + 1.
Shtirlitz [24]

Answer:

4

Step-by-step explanation:

-3+4+2+1=4

8 0
3 years ago
1 Javier has at most $15.00 to spend today. He buys a bag of pretzels and a bottle of juice for $2.59. If gasoline at this store
Art [367]

Answer:

Javier can buy <em>at maximum</em> about 3.7 gallons of oil.

Step-by-step explanation:

Let g represent the amount of gasoline in galloons.

We know that Javier has at most $15.00 to spend. In other words, the total cost after buying the snacks and gasoline must be <em>less than or equal to </em>15.

He already bought a snack and a drink for a total of $2.59.

And each gallon of gasoline costs $3.39.

So, we can write the following inequality:

2.59+3.39g\leq 15.00

To find how many galloons of gasoline Javier can buy, we will need to solve for g.

So, subtract 2.59 from both sides. This yields:

3.39g\leq12.41

Divide both sides by 3.39:

g\leq3.66

So, Javier can buy <em>at maximum</em> about 3.7 gallons of oil.

And we're done!

8 0
3 years ago
Read 2 more answers
What’s the answer? Please!!
gogolik [260]

Answer:

1

Step-by-step explanation:

:)

8 0
3 years ago
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