you buy 6 notebooks, 10 folders, 1 pack of pencils, and 1 lunch box for school. after using a $10 gift card, how much do you owe

Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep,

PIT_PIT [12445]

Answer:

51.15 cm

Step-by-step explanation:

Data provided

Basin has a depth of 40 centimeters

The angle of the sloping sides is 77°

The calculation for the shortest distance from the tip of the cone to its edge is detailed below:-

The angle will be split and is as follows

$\frac{77^\circ}{2}=38.5^\circ$

In the initial triangle, we will apply the "Cosine formula" as follows:-

$\cos 38.5^\circ=\frac{Base}{Hypotenuse}$

$cos 38.5^\circ=\frac{40}{Hypotenuse}$

$\\\\0.782=\frac{40}{Hypotenuse}$

$\\\\Hypotenuse=\frac{40}{0.782}$

$=51.15\ cm$

4 0

1 month ago

Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her

Svet_ta [12734]

Answer:

Her weekly expenses amount to $25.

Detailed reasoning:

Given: Jessica earns commissions for every sale but must cover her own spending costs.

She expresses her income function as $E(x) = 7x - 25$ , where x represents the number of doors she approaches in a week and E(x) denotes her weekly earnings in dollars.

To determine: What are plausible meanings for the y-intercept in Jessica's earnings function?

Working it out:

$E(x) = 7x - 25$

x symbolizes the doors knocked per week

E(x) reflects her weekly total earnings in dollars.

Calculating the y-intercept:

Set x = 0

$y= - 25$

Given that E(x) is the net earning after expenses,

the value 25 corresponds to her weekly expenses.

Since she is responsible for covering costs,

if she makes zero sales, these expenses still apply.

Therefore, the y-intercept realistically represents her $25 weekly expenses.

4 0

2 months ago

Read 2 more answers

Sunita bought a 10 kg box of grapes from the market. She gave 3 1/2 kg of her grapes to her friend Reena and 2 1/4 kg to Anita.

Leona [12618]

Answer:

17/4 kg

Step-by-step explanation:

Sunita initially has = 10kg of grapes

Amount distributed:

To Reena =3 1/2 kg

7/2 kg

To Anita =2 1/4 kg

9/4 kg

Total grapes given away

7/2+9/4

(14+9)/4

23/4 kg

The remaining grapes after distribution = Total grapes first minus grapes given away

10/1 - 23/4

(40-23)/4

= 17/4 or 4 1/4

Thus, she retains 17/4 kg of grapes

5 0

2 months ago

In general, the probability that it rains on Saturday is 25%. If it rains on Saturday, the probability that it rains on Sunday i

AnnZ [12381]

Answer:

40%

Step-by-step explanation:

According to the provided information:

The likelihood of rain on Saturday stands at 25%.

P(Sunday)=25%=0.25

If it rains on Saturday, the probability of rain on Sunday rises to 50%.

P(Sunday|Saturday)=50%=0.5

If it does not rain on Saturday, the chance of Sunday rain is 25%.

P(Sunday|No Rain on Saturday)=25%=0.25

We aim to find the probability of rain on Saturday given that it rained on Sunday, P(Saturday|Sunday).

P(No rain on Saturday)=1-P(Saturday)=1-0.25=0.75

Using Bayes' theorem for conditional probabilities:

P(Saturday|Sunday)= $\frac{P(Sunday|Saturday)P(Saturday)}{P(Sunday|Saturday)P(Saturday)+P(Sunday|No Rain on Saturday)P(No Rain on Saturday)}$

= $\frac{0.5*0.25}{0.5*0.25+0.25*0.75}$

=0.4

Thus, there is a 40% likelihood that it rained on Saturday given the conditions on Sunday.

5 0

2 months ago

Write three numerical expressions that are equivalent to (0.0004) . (0.005)

lawyer [12517]

The three equivalent numerical expressions are:

$(0.0004). (0.005) = (\frac{4}{10000}).(\frac{5}{1000})$

$(0.0004). (0.005)= (\frac{1}{2500}).(\frac{1}{200})$

$(0.0004). (0.005) = (4 \times 10^{-4}).(5 \times 10^{-3})$

Solutions to create three numerical expressions equivalent to (0.0004). (0.005)

8 0

1 month ago