All categories

2 years ago

5. Write the equation of the line graphed below.

Mathematics

1 answer:

Pepsi [2]2 years ago

7 0

Answer:

y=2x+3

Step-by-step explanation:the rise over run is 2/1 indicating that the slope is 2. the line also passes through 3 which means the y intercept is 3.

You might be interested in

Pecans that cost $28.50 per kilogram were mixed with almonds that cost $22.25 per kilogram. How many kilograms of each were used

atroni [7]

Answer:

The pecans used in the mixture = 8 kg

The almonds used in the mixture = 17 kg

Step-by-step explanation:

The cost of per kg of pecans = $28.50

The cost of per kg of almonds = $22.25

Now, total weight of mixture = 25 kg

Let us assume the weight of pecans in the mixture = m kg

So, the amount of almonds in the mixture = Total weight - Weight of Pecans

= (25 - m) kg

Now, cost of m kg pecans = m x ( cost of 1 kg pecans) = m x ( $ 28.50)

= 28.50 m

cost of (25- m) kg almonds = (25 -m) x ( cost of 1 kg almonds)

= (25 - m) x ( $ 22.25)

= 556.25 - 22.25 m

Total cost of 25 kg of mixture = 25 x ( $24.25) = $606.25

Now, Total Cost of (almonds + Pecans) = Total cost of mixture

⇒28.50 m + 556.25 - 22.25 m = $606.25

or,6.25 m = 50

or, m = 50/6.25 = 8

Hence, the pecans used in the mixture = m = 8 kg

And the almonds used in the mixture = (25 - m) = 25 - 8 = 17 kg

5 0

2 years ago

Jerome and eric start their hike at point a and follow the trail in the counterclockwise direction. they stop at point w to eat

Delicious77 [7]

Answer:

16 miles

Step-by-step explanation:

make mw as brainleist

4 0

2 years ago

If the farmer has 234 feet of fencing, what are the dimensions of the region which enclose the maximal area?

marissa [1.9K]

Answer: 58 ft × 58 ft

Step-by-step explanation:

Let the length of the region = x feet

And, the width of the region = y feet

Since, the perimeter of the region = 234 feet ( Given )

⇒ $2(x+y) = 234$

⇒ $x+y = 117$

⇒ $y = 117 - x$

Again the area of the region, A = xy

⇒ $A(x) = x(117-x)$

⇒ $A(x) = 117x - x^2$

By differentiating the above equation with respect to x,

⇒ $A'(x) = 117 - 2x$

For maxima or minima,

$A'(x) = 0$

$\implies 117 - 2x = 0$

$\implies -2x = -117$

$\implies x = 58.5$

Again differentiating equation A'(x) with respect to x,

We get, A''(x) = -2

Hence, For x = 58.5 A''(x) = negative

⇒ For x = 58.5 feet the area A(x) is maximum,

⇒ The length of the region having maximum area = x = 58.5 feet

And, the width of the region having maximum area = y = 117-x= 117 - 58.5=58.5 feet,

⇒ The dimension of the region having the maximum area = 58.5 ft × 58.5 ft

8 0

2 years ago

Read 2 more answers

The steps below show the work of a student used to calculate the number of yards in 804.5 meters.

Butoxors [25]

Answer:

see below

Step-by-step explanation:

804.5 meters. to yards

Step 1:

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles

1,609 meter  x  1 mile  = 2 miles

804.5 meters

Step 2:

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards

2 miles x  1,760 yards  = 3,520 yards

1 mile

no need of step 3. the conversion below should be on step 2.

to convert miles into yards.

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

3 0

2 years ago

Kelvin and Lewie each design surveys in order to determine the average number of people who buy food at the mall. Kelvin surveys

Lisa [10]

Answer:

Lewie Survey produces less valid result.

Step-by-step explanation:

Given:

1. Kelvin surveys every other person leaving the food area.

2. Lewie surveys every fifth person leaving the mall's main entrance.

Therefore,

Kelvin will able to produce valid result as he is surveying every person who is leaving food court.

Means,

There are high chances that would have bought food from the court.

Whereas,

Lewie is surveying every fifth person leaving the the mall's entrance.

Therefore,

Here probability to produce valid result is less as they may have not buy food or they may visited other shops.

So, Lewie survey will produce less valid result.

8 0

2 years ago

Read 2 more answers