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3 years ago

2. Translate the following equation into a verbal sentence. x + 5 = 2(7 + x)

Mathematics

1 answer:

Stells [14]3 years ago

5 0

Answer:

Step-by-step explanation:

Some points to note

"is" means equal
"times" means multiplication
"quotient" means division
"sum" is addition

Now, let's look at the left side of the equation.

It is "x + 5"

This means the sum of the number x and 5, or the number x plus 5

It eliminates F and J

Now, let's look at right side of equation.

It is "2(7+x)"

"7+x" is in brackets, so this is the sum of 7 and x. Then it is multiplied by 2. Thus, we can say:

"2 times the sum of 7 and x"

From the choices G and H left, we select G to be correct.

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Kisachek [45]

Answer:

13,784

Step-by-step explanation:

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2 years ago

A trust fund worth $25,000 is invested in two different portfolios, this year, one portfolio is expected to earn 5.25% interest

OLEGan [10]

Answer:

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

Let

x ------> the amount of money that should be invested at the rate of 5.25%

25,000-x -----> the amount money that should be invested at the rate of 4%

in this problem we have

$t=1\ year\\ P_1=\$x\\P_2=\$(25,000-x)\\r_1=0.0525\\r_2=0.04\\I=\$1,150$

substitute in the formula above

$I=P_1(r_1t)+P_2(r_2t)$

$1,150=x(0.0525*1)+(25,000-x)(0.04*1)$

Solve for x

$1,150=0.0525x+1,000-0.04x$

$0.0525x-0.04x=1,150-1,000$

$0.0125x=150$

$x=\$12,000$

$|$25,000-x=\$13,000$

therefore

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

6 0

2 years ago

Read 2 more answers

Solve each equation. Check your answer<br>r/238=8

ozzi

You have to get r by itself on one side. Multiply both sides by 238 to cancel it out of the denominator on the left side.

You are left with r = 8 × 238 or r = 1904.

To check, plug 1904 back into the equation.

1904 ÷ 238 = 8
8 = 8 (True)

5 0

2 years ago

1. A weighted coin is biased so that a head is twice as likely to occur as a tail. If the coin is tossed 4 times, what is the pr

ohaa [14]

Answer:

80/81

Step-by-step explanation:

If a head is twice as likely to occur as a tail, then the probability of getting heads is 2/3 and the probability of getting tails is 1/3.

The probability of getting at least 1 head involves 4 scenarios:

1) 1 Head and 3 Tails

2) 2 Heads and 2 Tails

3) 3 Heads and 1 Tail

4) 4 Heads

Instead of calculate all these scenarios, you could calculate the opposite scenario: 4 Tails. The sum of all possible scenarios is 1, so:

P(at least one head) + P(no heads) = 1

Then, P(at least one head) = 1 - P(no heads)

The probability of 4 tails is:

P(no heads) = P(TTTT) = (1/3)(1/3)(1/3)(1/3)=1/81

Then, P(at least one head) = 1 - 1/81=80/81

7 0

2 years ago

Help me please. Been stuck on this. :/

alina1380 [7]

Answer:

pi, the square root 72

Step-by-step explanation:

6 0

2 years ago

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