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Savatey [412]
3 years ago
6

A middle school has a speech club with a total of 18 students. The ratio of girls to boys is 4:5. How many girls are in the spee

ch club? How many boys are in the speech club? Justify your answers. (using linear equations)
Mathematics
1 answer:
Fantom [35]3 years ago
8 0
The ratio is 4:5
so girls=4x
and boys=5x
(because you don't know how many boys or girls there are)
then the equation would be
4x+5x=18
9x=18
so x=2
 then 2 times 4 which equals 8
and 2 times 5 which equals 10

so there are 8 girls and 10 boys

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Lilian says that 25% of a number will always be less than 75% of any other number. Complete one inequality to support Lillian's
rjkz [21]
She is incorrect cause if we take the number 20 and take 25% of it it equals 5 so now 20 is only 15. They if we take 75% away from 20 is equals 15 so then we only have 5 from 20 left. Therefore she’s incorrect because 75% leaves 5/20 and 25% leaves 15/20. Hope that makes sense.
6 0
3 years ago
George has 50,000in wage income ,20,000 in gambling winning .10,000 in alimony income and 5,000 in divided income the amount of
Softa [21]

The amount of George's income that is subject to withholding is <u>$75,000</u>, which excludes the alimony income.

<h3>What is alimony income?</h3>

Alimony income represents the amount received from a spouse or a former spouse under a divorce or separation instrument.

<h3>What are the incomes subject to withholding?</h3>

The incomes subject to withholding include the following:

  • Regular
  • Commissions
  • Vacation pay
  • Reimbursements
  • Other expense allowances
  • Pensions
  • Bonuses
  • Dividends
  • Gambling winnings.

<h3>Data and Calculations:</h3>

Wages income = $50,000

Gambling winning = $20,000

Alimony income = $10,000

Dividend income = $5,000

Income subject to withholding = $75,000 ($20,000 + $20,000 + $5,000)

Thus, George's income that is subject to withholding is <u>$75,000</u>, excluding the alimony income.

Learn more about withholding tax at brainly.com/question/26781826

#SPJ1

6 0
1 year ago
Plz anyone help for points
emmainna [20.7K]

Answer:

B. 1,188 cubic units

Step-by-step explanation:

First find the area of the base

A = 1/2b*h (this would only be half the base so our formula would be)

A = b*h (Now enter values)

A = (9)(6)

A = 54 (now plug this into the volume formula)

V = Ab * h

V = (54)(22)

V = 1,188 cubic units

6 0
3 years ago
Match these similar triangles proof<br>​
AlekseyPX

Answer:

B

C

F

D

H

A

G

E

Step-by-step explanation:

Ok. They are trying to reconstruct the smaller looking triangle in the bigger triangle using angle A as the common angle.

The first statement is always the given.

Second they constructed line segment XY into the bigger triangle so that XY is parallel to BC.

Third, from the construction of the parallel lines we can now find corresponding angles that are congruent. This would be the use of F.

Since we have all three angles in triangle AXY and triangle ABC, then the construction of the smaller triangle we made inside the bigger triangle is similar to the bigger triangle. So we have the triangles are similar. You could say E or D here in my opinion. This is choice D.

Fifth the creation of those fractions of sides being equal comes from us knowing the corresponding sides of similar triangles are proportional. This is choice H.

Things looked cut off for the sixth thing so I can't fully read it, but it is possible a substitution has occured.

The seventh thing is a congruence statement which can be proven by a congruence postulate. The only one listed is SAS. So that is G.

The last thing, since the triangle construction is congruent to the smaller triangle then we know the smaller triangle is also similar to the bigger triangle since the bigger one is also similar to the construction we made. I really think E and D is interchangeable. Choice E goes here.

7 0
3 years ago
Bryson hopes to win a three-day vacation in a drawing that is being held at his office. He purchased 40 raffle tickets. There we
Savatey [412]
The correct answer would be A, 2/25. 
9 0
3 years ago
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