MATHEMATICS COLLEGE

What is the ones digit in the number 2²⁰⁵³?​

Answers

Answer 1
Answer:

Answer:

most likely 3

Step-by-step explanation:

if ur asking for the exponent 3 is in the ones place

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Josie's Bagel Shop recently sold 3 poppy seed bagels and 3 other bagels. What is the experimental probability that the next bagel sold will be a poppy seed bagel? Simplify your answer and write it as a fraction or whole number, P(poppy seed bagel) Submit​

Answers

Answer:

ffbhjdhjdfahdsfsdfakfawlefgwaheghfgawlygfailwegfalawegfuwlgweilfygweiyaglifwafawegwegerg

Step-by-step explanation:

The range of the function f(x) = x + 5 is {7, 9}. What is the function’s domain?

Answers

the range is the y valuewe can rewrite the given function f(x)=x+5 to y=x+5and our given range are y=7 and y=9so sub in ur y values into the equation to find the x value which are the domain...y=x+5

Carl has three lengths of cable, 3/6 yard long, 1/4 yard long, and 1/3 yard long, which two pieces together make a length of 20/24 yard?

Answers

First you should Simplify
(20)/(24) = (5)/(6)
(3)/(6) + (1)/(3) = (5)/(6)


Solution
1. Find the LCM between 6 and 3 which is 8
2. Times 3 and 6 to both sides of the equation respectively.
(3 * 3)/(18) + (6 * 1)/(18)
(9 + 6)/(18) = (15)/(18)
3. Simplify the answer by dividing by 3.

sarah can complete a project in 90 minutes and her sister betty can complete it in 120 minutes if they both work on the project at the same time how long will it take them to complete the project

Answers

Answer:

It will take them approximately 51.43 minutes to complete the project together

Step-by-step explanation:

This is what is called a "shared job" problem.

The best way to work on them is to start by finding the "portion" of the job done by each of the people in the unit of time.

So, for example, Sarah completes the project in 90 minutes, so in the unit of time (that is 1 minute) she completed 1/90 of the total project

Betty completes the project in 120 minutes, so in the unit of time (1 minute) she completes 1/120 of the total project.

We don't know how long it would take for them to complete the project when working together, so we call that time "x" (our unknown).

Now, when they work together completing the entire job in x minutes, in the unit of time they would have done 1/x of the total project.

In the unite of time, the fraction of the job done together (1/x) should equal the fraction of the job done by Sarah (1/90) plus the fraction of the job done by Betty. This in mathematical form becomes:

(1)/(x) =(1)/(90) +(1)/(120)\n(1)/(x) =(4)/(360) +(3)/(360)\n(1)/(x) =(7)/(360) \nx=(360)/(7) \nx=51.43\,\,min

So it will take them approximately 51.43 minutes to complete the project together.

Lydia has money in two savings accounts. One rate is 7% and the other is 13%. If she has $300 more in the 13% account and the total interest is $252, how much is invested in each savings account?

Answers

Answer:

  • 7%: $1065
  • 13%: $1365

Step-by-step explanation:

If x represents the amount invested at 7%, then the amount invested at 13% is x+300. Lydia's total interest is ...

  0.07x +0.13(x +300) = 252

  0.20x = 213 . . . . . subtract 39

  x = 213/0.20 = 1065

Lydia has $1065 invested at 7% and $1365 invested at 13%.

Final answer:

Using the given conditions, we set up and solve an equation where x is the amount invested at a 7% rate and x + $300 is the amount at a 13% rate. After solving, we find that Lydia has $1065 in the 7% account and $1365 in the 13% account.

Explanation:

Let's assume Lydia's investment at 7% to be x and her investment at 13% to be x + $300. Since the total interest is $252, we can create an equation to solve for the values of x.

The equation will look like this:

0.07x + 0.13(x + 300) = 252

Let's solve the equation:

0.07x + 0.13x + 39 = 252

Combine like terms to get 0.2x + 39 = 252

Subtract 39 from both sides to get 0.2x = 213

Divide by 0.2 to solve for x, which gives x = 1065.

So, Lydia has $1065 in the 7% account and $1065 + $300 = $1365 in the 13% account.

Learn more about Investment here:

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If m∠1 = 3x, m∠3 = 2x + 20 and m∠5 = 30, what is the value of x?

Answers

m∠2 = 180 - m∠1 = 180 - 3x   [supplementary angles]

In a triangle, the three interior angles always add to 180° ⇒
m∠2 + m∠3 + m∠5 = 180
180-3x + 2x+20 + 30 = 180
230 - x = 180
x = 230 - 180
x = 50
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