Give answer in standard form for part a and b

Theo bought 2 hot dogs and two drinks for $4.00. At the same concession stand, Vicky bought 3 hot dogs and a drink for $4.50. Wr

Sedbober [7]

Answer:

The hot dog are $2.63

Step-by-step explanation:

Hot Dogs = H

Drinks = D

2H + 2D = 4

Divide both sides by 2

H + D = 2

Subtract D from either side

H = 2 -D

3H + D = 4.50

Plug in 2 - D for H

3(2- D ) + D = 4.50

6 - 3D + D = 4.50

6 - 4D = 4.50

Add 6 to either side

-4D = 10.50

Divide either side by -4

D = -2 . 625

3 0

3 years ago

Help to answer this question?

rosijanka [135]

Answer:

No, Victoria doesn't have enough. She doesn't have enough because 15% off of 139.99 is 118.99. But then their is a 7% sales tax. So once you add the sales tax you get $127.32 and her max is $125.

Step-by-step explanation:

4 0

3 years ago

The volume of a shampoo filled into a container is uniformly distributed between 370 and 385 milliliters. (a) What are the mean

Olenka [21]

Answer:

(a) mean = 377.5ml. standard deviation = 4.33

(b) 0.333

(c) 384.25 ml

Step-by-step explanation:

(a)The mean:

$\mu = \frac{385 + 370}{2} = 377.5 ml$

The standard deviation:

$\sigma = \frac{385 - 370}{\sqrt{12}} = 4.33$

(b)

$P(x < 375) = \frac{375 - 370}{385 - 370} = \frac{1}{3} \approx 0.333$

(c)P(x > m) = 0.95

$\frac{m - 370}{385 - 370} = 0.95$

$m - 370 = 14.25$

$m = 384.25ml$

So the volumn of shampoo should be 384.25ml to exceed 95% of containers.

7 0

3 years ago

What is happening to this graph when the x values are between -1 and 1

Amiraneli [1.4K]

It is decreasing, since the y-value is going down.

3 0

3 years ago

Read 2 more answers

A paddleboat can move at a speed of 4 km/h in still water. The boat is paddled 12 km downstream in a river in the same time it

Bas_tet [7]

Answer:

Speed of the river = $\frac{4}{3}$ km per hour

Step-by-step explanation:

Speed of the boat in still water = 4 km per hour

Let the speed of the river = v km per hour

Speed of the boat upstream = (4 - v) km per hour

Time taken to cover 6 km = $\frac{\text{Distance}}{\text{Speed}}$

= $\frac{6}{4-v}$ hours

Speed of the boat downstream = (4 + v) km per hour

Time taken to cover 12 km = $\frac{12}{4+v}$ hours

Since, time taken by the boat in both the cases is same,

$\frac{6}{4-v}= \frac{12}{4+v}$

6(4 + v) = 12(4 - v)

24 + 6v = 48 - 12v

12v + 6v = 48 - 24

18v = 24

v = $\frac{24}{18}$

v = $\frac{4}{3}$ km per hour

3 0

3 years ago