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kumpel
4 days ago
9

I have 4 times as many 10-cent stamps as 3-cent stamps. I have one less 2-cent stamp than 3 cent stamp. If I have b2-cent stamps

, what is the value of my stamp collection in terms of b ?
Mathematics
2 answers:
tester [3.9K]4 days ago
6 0

Answer:

45b + 43 cents

Step-by-step explanation:

45b + 43 cents

Leona [4.1K]4 days ago
5 0

Answer:

The value of the stamp collection is calculated as (45b + 43) cents

Step-by-step explanation:

The scenario is as follows;

if there are x occurrences of 3-cent stamps, then there are 4 times that amount in 10-cent stamps

The number of 2-cent stamps is one less than the quantity of 3-cent stamps, resulting in x-1 for the 2-cent stamps

The number of 2-cent stamps is denoted as b

This implies x-1 = b

Thus, x = b + 1

<pConsequently, the value of the stamp collection can be expressed as;

With x occurrences of 3-cent stamps = 3(b + 1) = 3b + 3 cents

With 4x occurrences of 10-cent stamps = 10(4(b + 1)) = 10(4b + 4) = 40b + 40

The value of the 2-cent stamps = 2b cents

The total value thus becomes;

2b + 40b + 40 + 3b + 3 = (45b + 43) cents

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Two planes A and B can each fly through still air at 550 mph. The distance from Paris to Los Angeles is 5000 miles. Wind blows f
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Answer:2688.63 miles

Step-by-step explanation:

Given

The distance from Paris to Los Angeles d=5000 miles

Wind traveling at 100 mph from Los Angeles to Paris

The velocity of the plane through still air is v=550 mph

Relative velocity of Plane A is v_a=550-100 =450 mph since Plane A is heading against the wind

Relative velocity of Plane B is v_b=550+100=650 mph

Plane A departs at noon

Distance covered by Plane A in 1 hour =450\times 1=450 miles

The total separation distance between the planes is 5000-450=4550 miles

Assuming they meet after t hours

Distance covered by Plane B in that time frame =v_b\times t=650\times t

Distance traveled by Plane A in t hours is =v_a\times t=450 t

The total distance equals 4550 miles

4550=650t+450t

t=\frac{4550}{1100}

t=4.13 hr

Distance traveled by B is =650\times 4.136=2688.63 miles

thus, they meet at a point 2688.63 miles away from Los Angeles.

5 0
11 days ago
Choose the correct item from each drop-down menu to factor the trinomial 6y2 + 19y + 15 by grouping.
AnnZ [3877]

Answer: (3y - 5) • (2y - 3)

Step-by-step explanation: 6y2 - 10y - 9y - 15

2.1 Factoring 6y2-19y+15

The leading term is 6y2, with a coefficient of 6.

The middle term is -19y, having a coefficient of -19.

The last term is the constant, which is +15.

5 0
4 days ago
A group of college students built a self-guided rover and tested it on a plane surface. They programmed the vehicle to move alon
Leona [4166]
Answer and image included:

3 0
7 days ago
Read 2 more answers
Including Jose, there are eight people in his family.
lawyer [4008]

Answer:

840

Step-by-step explanation:

As the arrangement matters, we apply the permutations formula to find the solution.

Permutations formula:

The count of possible arrangements of x items chosen from a total of n items is defined by this formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

For this problem:

Jose occupies the first seat.

The other four can be arranged among the remaining 7 family members. Thus

P_{(7,4)} = \frac{7!}{(7-4)!} = 840

Hence, the final answer is:

840

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7 days ago
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A follow-up study will be conducted with a sample of 20 people from the 300 people who responded yes (support) and no (do not su
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Response:

Detailed explanation:

Hello!

Stratified sampling involves the categorization of the population into subgroups based on pre-established criteria for the study. These subgroups consist of homogeneous units concerning the relevant characteristics. In this instance, individuals in the groups will represent only one of the two potential opinions (support or not support) and not both.

The researcher determines the sample size desired, considering several factors such as finances, material availability, and accessibility to experimental subjects (for instance, if they are endangered species, larger sample sizes may not be feasible).

One might conduct proportionate stratified sampling by selecting a proportion of respondents who answered "yes" along with those who answered "no."

In this sampling method, taking a specific proportion from each subgroup allows for a more straightforward extrapolation of results to the overall populations. For example, if you needed a sample size of n = 20, each stratum would ideally contain half, meaning 10 from the “yes” group and 10 from the “no” group.

I hope this is helpful!

4 0
9 days ago
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