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3 years ago

I need these answers

Mathematics

1 answer:

Kaylis [27]3 years ago

8 0

1. 80 cups

2. 2 months is less 65 is more since 2 months equal 60 so answer is = <

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Michael is 4 times as old as brandon and is also 27 years older than brandon<br> how old is brandon?

Komok [63]

Let the age of Brandon be x.

Therefore the age of Michael is 4x

Also the age of Michael is 27+x

4x=27+x

3x=27

X=9

Brandon age is 9years while Michael's age is 36

6 0

2 years ago

Given: AB ≈ DC ; AC ≈ DB

Anit [1.1K]

Answer:

Step-by-step explanation:

Given:

AB ≅ DC and AC ≅ DB

To Prove:

ΔABC ≅ ΔDCB

Statements Reasons

1). AB ≅ DC and AC ≅ DB 1). Given

2). BC ≅ CB 2). Reflexive property

3). ΔABC ≅ ΔDCB 3). SSS property of congruence

8 0

3 years ago

Steve and Ben have some money in their wallets. If Steve gives Ben $3, Ben will have twice as much as Steve. If Ben gives Steve

Zigmanuir [339]

Answer:

Money owned by Steve = $11

Money owned by Ben = $13

Step-by-step explanation:

Let x denotes the money owned by Steve and y denotes the money owned by Ben.

Then, Steve gives $3 to Ben

Money left with Steve = x-3 and Ben = y+3

Now, Ben will have twice as much as Steve.

⇒ y+3 = 2(x-3) .............(1)

If Ben gives Steve $7

Money left with Steve = x+7 and Ben = y-7

Then, the amount Ben has will be one-third that of Steve’s.

⇒ y-7 = $\frac{1}{3}$ (x+7) ..........(2)

Solving equation (1) and (2) by elimination method, we get

x = 11 and y = 13

⇒ Money owned by Steve = $11

Money owned by Ben = $13

5 0

3 years ago

A student states that Figure JKLM is congruent to Figure PQRS. Determine if the student is correct or has made an error. ;D

lyudmila [28]

Answer:

Student has made an error

Step-by-step explanation:

If two figures are said to be congruent, this implies that area of both is same and both as exactly same or copy or each other.

But from the graph, it can be stated that height of figure JKLM is 4 units whereas that of other is 6 unit.

<em>Hence explained !</em>

4 0

3 years ago

If $48,000 is invested in an account earning 3.1% interest compounded continuously, determine how long it will

Bas_tet [7]

Answer:

It will take about 35.439 years to triple.

Step-by-step explanation:

Recall the formula for continuously compounded interest:

$A=P\,e^{r*t}$

where "A" is the total (accrued or future) accumulated value, "r" is the rate (in our case 0.031 which is the decimal form of 3.1%), "P" is the principal, and "t" is the time in years (our unknown).

Notice also that even that the final amount we want to get is three times $48,000. So our formula becomes:

$3\,*\,48,000=\,48,000\,\,e^{0.031\,*t}\\\frac{3\,*\,48,000}{48,000} =e^{0.031*t}\\3=e^{0.031*t}$

Now,in order to solve for "t" (which is in the exponent, we use logarithms:

$ln(3)=0.031\,*\,t\\t=\frac{ln(3)}{0.031} \\t=35.439 \,\,years$

7 0

4 years ago