One angle is five less than three times the size of another angle. Together they have a sum of 143 degrees. What are the sizes of each angle?

Answers

Answer 1

Answer: Let the size of one angle be x
so the size of another angle = 3x-5
sum of the two angles = 143 degrees
so, x + 3x - 5 = 143
or, 4x = 143+5
or, x = 149/4 = 37.25 degrees
other angle = 3*37.25-5 = 106.75 degrees

Answer 2

Answer: let the another angle be x ,then first angle will be 3*x-5
according to the question
x + 3*x-5 =143'
x+3*x=143+5
4*x=148
x=148/4
x=37'
another angle = x =37'
first angle = 3x-5 = 3*37-5 = 111-5 = 106'

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A piece of ribbon that is 8 and 1/3 yards long will be cut into 5 equal pieces to make bows. How much ribbon will be used foe each bow?

Answers

Answer:

yes

Step-by-step explanation:

Answer: 1 2/3 yards for each bow

Step-by-step explanation:

8 1/3 divided by 5 = 25/3 * 1/5 = 5/3

A professional athlete deposited an amount of money into a high-yield mutual fund that earns 14% annual simple interest. A second deposit, $2,400 more than the first, was placed in a certificate of deposit earning 8% annual simple interest. In one year, the total interest earned on both investments was $456. How much money was invested in the mutual fund?

Answers

Answer:

$1,200

Step-by-step explanation:

Let x be the amount of money deposited in the mutual fund. The interest earned by that investment can be determined as the amount deposited times the interest rate:

$I_(1) = x*0.14$

The value the second deposited can be determined as x+$2,400 and its interest earned is defined in the same manner as the first deposit's:

$I_(2) = (x+2400)*0.08$

The total interest on both investment equals the sum of both interests:

$456=I_(1)+I_(2)\n456=(x+2,400)*0.08 +x*0.14\nx=(456-192)/(0.22)\n x=1,200$

$1,200 were invested in the mutual fund.

Solve this question? -7x-18=3

Answers

-7x - 18 = 3
-7x = 21
x= -3

the answer to the equation is 3

A bin contains red balls and purple balls. A ball is selected at random and then placed back in the bin. The results are recorded after 10 trials, 50 trials, and 200 trials. The results are recorded in the table.Outcome| Number of trials
| 10__50___200
Red | 5___36___152
Purple | 5___14___48

Based on the table, how many times can you expect that a purple ball will be selected in 400 tries?

Answers

In total, we have 5+14+48=67 purple balls in 10+50+200=260 trials, so based on our data, purple balls appear with probability 67/260=0.258, so we expect .258*400=103 purple balls to appear in the larger sample.

Hey there

A bin contains red balls and purple balls. A ball is selected at random and then placed back in the bin. The results are recorded after 10 trials, 50trials, and 200 trials. We know that 5+14+48=67 purple balls in 260 trials. , Purple balls appear with probability 67/260 . Now we multiply and get 258*400=103

What is the next term of the following sequence?
12, 6, 3, ...

Answers

The general trench of the sequence is that it is going down in halves, so the next term in the sequence should be 1.5 :)

Answer:

Your answer is 1 1/2

For what values of x is x2 + 2x = 24 true?–6 and –4
–4 and 6
4 and –6
6 and 4

Answers

you can solve this 2 ways: plug in all of the options or solve for x.
i going to solve for x.

given: x^2+2x=24 (subtract 24 on both sides to get make it look like x^2+x+1)

x^2+2x-24=0 (now factor x^2+2x-24 out)

x^2+2x-24 --> (x-4)(x+6)

new equation: (x-4)(x+6)=0 (now make them both equl zero)

new equaions: x-4=0 x+6=0 (now solve for x for both)

x-4=0 x+6=0
x=4 x=-6
your answer is 4 and -6.
if you were not taught how to do what i just did then i can message you how to plug those numbers into x^2+2x=24 to find the answer.

Answer:

The answer is c

Step-by-step explanation:

Correct on e2020

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