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tekilochka [14]
2 years ago
15

Noor wants to spend less than $20 on condiments. Each kilogram of salt costs $1.50, and each kilogram of pepper costs 2.50.

Mathematics
1 answer:
nata0808 [166]2 years ago
3 0

Answer:

1.5s+2.5p<20

Step-by-step explanation:

Multiply by each kilo and then make sure it adds up to less than 20!

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Sidana [21]
We need to find the distance between (7, 5) and (10, 11) and double it, since they run it twice. We can do this as follows: 2√(11-5)² + (10-7)² = 2√36 + 9 = 2√45 = 6√5.
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Hope this helps!
6 0
2 years ago
A consumer is considering two different purchasing options for the car of their choice. The first option, which is leasing, is d
AVprozaik [17]

Answer:

  • y=250x+4000
  • y=400x+400

Step-by-step explanation:

Given that:

  • x represents the number of months of ownership; and
  • y represents the total paid for the car after ‘x' months.

<u>First Option (Leasing)</u>

250x - y + 4000 = 0

Expressing the equation in the Slope-Intercept Form y=mx+b, we have:

y=250x+4000

<u>Second Option (Financing)</u>

$400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400).

First, we determine the slope of the line joining (0,400) and (10,4400)

Slope, m= \dfrac{4400-400}{10-0}= \dfrac{4000}{10}=400

We have:

y=400x+b

When y=400, x=0

400=400(0)+b

b=400

Therefore, the Slope-Intercept Form of the second option is:

y=400x+400

<u>Significance</u>

  • In the first option, there is a down payment of $4000 and a monthly payment of $250.
  • In the second option, there is a down payment of $400 and a monthly payment of $400.

<u>Part B</u>

We notice from the graph that after 24 months, the cost for leasing and financing becomes the same ($10,000). Therefore, a consumer will be better off financing since the downpayment for leasing is higher.

<u>i.e </u>

  • When x=0, y=$4000 for leasing
  • When x=0, y=$400 for financing

4 0
2 years ago
A sphere has a diameter of 14 ft. Which equation finds the volume of the sphere?
aev [14]

Answer:

The volume of the sphere is 1436 in³

The equation is    

V = ⁴⁄₃ * 3.14 * (7ft)³

Step-by-step explanation:

radius = half of diameter

d = 14ft

r = 14ft / 2 = 7ft

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius  = 7ft

π = 3.14

V = ⁴⁄₃πr³

we replace with the known values

V = ⁴⁄₃ * 3.14 * (7ft)³

V = 4.187 * 343 in³

V = 1436 in³

The volume of the sphere is 1436 in³

6 0
2 years ago
Chester, the dog, loves to eat treats. He has eaten twice as many today as yesterday. He has eaten a total of 15 dog treats in b
stich3 [128]

Answer:

The equations are:

T = 2Y and T + 2Y = 15

Step-by-step explanation:

Given

Represent bones eaten Today with T and yesterday with Y

Required

Write the equation

In the first statement, we have that:

T = 2Y

Reading further; In the second statement

T + 2Y = 15

Hence, the equations are:

T = 2Y and T + 2Y = 15

Solving further:

Substitute 2Y for  T in the second equation

2Y + 2Y = 15

4Y = 15

Divide both sides by 4

Y = \frac{15}{4}

Y = 3.75

Recall that

T = 2Y

T= 2 * 3.75

T= 7.5

7 0
1 year ago
Bags of sugar from a production line have a mean weight of 5.020 kg with a standard deviation of 0.078 kg. The bags of sugar are
Sindrei [870]

Answer:

a.0.126

b.100.6356

c.5.010

Step-by-step explanation:

4 0
2 years ago
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