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Nataliya [291]
3 years ago
8

Can someone help me with these

Mathematics
1 answer:
Stolb23 [73]3 years ago
6 0

Answer:

Problem 2) : the gradient is "-2", and the y-intercept is "3"

Problem 3)

A is  y=2x+2

B is y=x+2  

Step-by-step explanation:

Problem 2)

In the line given by the equation:   y=-2x+3

the "gradient" (also known as "slope") is the numerical coefficient that multiplies the variable "x". So in this case the gradient is "-2"

the y-intercept is the numerical term "+3" because that is the y-value result of evaluating the expression for x = 0

y=-2x+3\\y=-2\,(0)+3\\y=3

Problem 3)

Consider the two lines :

y=x+2  and  y=2x+2

notice that both have the same y-intercept (that is the numerical term "2" at the end of both expressions. That means that both lines cross the y-axis at the point y=2.

Now notice that the gradient of one of them is "1"  (for y=x+2 ) that is the coefficient that multiplies the variable "x". While for the other line ( y=2x+2)  the gradient is "2" and therefore steeper than the previous one.

Then, the line identified as "A" which is the one with steeper gradient, corresponds to the equation   y=2x+2, and the line identified with "B" is the one with smaller gradient  y=x+2  .

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The Great Speedster roller coaster runs 3 trains every 10 minutes. At that rate, how many trains does the roller coaster run eve
Natasha2012 [34]
<span>Two cars run at constant speeds around a one-mile racetrack. If the cars circle the track in the same direction, the faster car passes the slower car every 10 minutes. If the cars circle the track in opposite directions, the cars meet every 30 seconds.</span>
6 0
3 years ago
This is the pond in a shape of a prism, it is completely full of water. Colin uses a pump to empty the pond. The level goes down
AnnZ [28]

Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = \frac{1}{2}× (sum of sides)× height

                             =  \frac{1}{2}× (0.6 + 1.4)× 2

                             =  \frac{1}{2}× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = \frac{1}{100} m = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in \frac{30}{0.4} = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

5 0
2 years ago
1 - 3x = 3x + 1 solve for x
lakkis [162]

Answer: x = 0

Step-by-step explanation:

1 - 3x = 3x + 1

then add 3x on both sides

1 = 6x + 1

then subtract 1 on both sides

0 = 6x

then divide by 6 on both sides

0 = x

so x = 0

3 0
3 years ago
Read 2 more answers
PLS NEED HELP 2ND TIME ASKING LAST QUESTION I NEED PLSSSSS
sergiy2304 [10]
I’m sorry I don’t know the length of JT however JE = 3.
3 0
3 years ago
If total sales in the ice cream category were $4.4 billion and Breyer’s sales were $650,417,792, what would be its market share?
Tresset [83]

Answer:

14.8%

Step-by-step explanation:

The formula for market share = Total sales of the company at a particular period/ Total sales of the market × 100%

Total sales of the company = Breyer's sales = $650,417,792

Total sales of the market = Total sales in the ice cream category market = $4.4 billion

= $650,417,792/ $4,400,000,000, × 100

= 14.782222545%

Therefore, approximately to the nearest tenth, Breyer's market share is 14.8 %

5 0
3 years ago
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