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4 years ago

25 POINTS ---need an explanation

Mathematics

1 answer:

olganol [36]4 years ago

7 0

I suggest you look at the work in the pictures I attached. It examplains how you work out the problem and what the answer is

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A situation can be represented by this inequality?<br><img src="https://tex.z-dn.net/?f=1.25x%20-%206.50%20%3E%2050" id="TexForm

DochEvi [55]

There are four different choices. Now we have to find which choice best expresses the inequality 1.25x-6.50>50

1.25x has positive sign so any statement that indicates earning like sells at the rate of 1.25 will match with expression 1.25x.

Now -6.50 has negative sign that means this quantity must be subtracted or represents loss of any kind.

Keeping above sign in mind and reading the given statementns, we see that only choice "a" first the given inequality.

Hence final answer is a).

6 0

3 years ago

Read 2 more answers

There are 10 cranberry and 15 strawberry juices. You randomly pick two juices. What's the probability you'll get two strawberry

lorasvet [3.4K]

Answer:

7/20

Explanation:

The theoretical probability, P (A), of an event, A, is:

P(A) = number of outcomes of event A / total number of possible outcomes

For 10 cranberry and 15 strawberry juices, the number of outcomes for two strawberry juices are:

Combination of 15 strawberry juices chosen in two:

$C^{15}_{2}=\frac{15!}{(15-2)!(2!)}=\frac{15!}{13!2!}=\frac{15\times 14}{2}=105$

The total number of possible outcomes is:

Combination of 25 juices chosen in two:

$C^{25}_{2}=\frac{25!}{(25-2)!(2!)}=\frac{25!}{23!2!}=\frac{25\times 24}{2}=300$

Thus, the probability of randomly picking two strawberry juices is:

P (two strawberry juices) = 105/300 = 7/20

Note that you can obtain it as the product of the probabilities that the first juice is a strawberry juice and the second juice is also strawberry juice:

$15/25\times 14/24=(15\times 25)/(14\times 24)=210/600=7/20$

5 0

3 years ago

I need help on this.

tatiyna

9514 1404 393

Answer:

(a) $1430

(b) $1340

Step-by-step explanation:

(a) The debit card is funded by Jenny's checking account, so it cannot be used to spend more than her checking account balance. The most Jenny can spend using her debit card is $1430.

(b) Amounts purchased using her credit card add to the credit balance. The most Jenny can purchase is the difference between her current balance and her credit limit.

Limit - balance = $2350 -1010 = $1340

The most Jenny can spend using her credit card is $1340.

(c) For a purchase of $1400, the amount available on Jenny's credit card is insufficient. She can make the purchase using her debit card.

5 0

3 years ago

This figure shows the nose cone of a rocket used for launching satellites. The nose cone houses the satellite until the satellit

egoroff_w [7]

The formula for the volume of a cone, V, is:

V = [1/3] * π * (radius)^2 * height

Here radius = 6 feet / 2 = 3 feet

Height = 15 feet

V = [1/3] π (3 feet)^2 * 15 feet = 45π feet^3

Answer: 45π feet^3

3 0

3 years ago

Read 2 more answers

Identify the lateral area and surface area of a regular triangular pyramid with base edge length 6 cm and slant height 13 cm.

Law Incorporation [45]

The lateral area is 117 square centimeters and the surface area is 292.72 square centimeters

<h3>How to determine the lateral area?</h3>

The given parameters are:

Base length (b) = 6
Slant height (l) = 13

The lateral area is calculated using:

Lateral = 0.5 * (Perimeter of base) * Slant height

This gives

Lateral = 0.5 * (3 * 6) * 13

Evaluate

Lateral = 117

Hence, the lateral area is 117 square centimeters

<h3>How to determine the surface area?</h3>

The surface area is calculated using:

Surface = l²√3

This gives

Surface = 13² * √3

Evaluate

Surface = 292.72

Hence, the surface area is 292.72 square centimeters