On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of 100 points. There are twice as many 2-point questions as 5-point questions on the test. How many 2-point questions are on the test?

Answers

Answer 1

Answer: Number of 5-point question = 4

Number of 2-point questions =8

Number of 4-point question = 16

Step-by-step explanation:

Let x = Number of 5-points question.

then, Number of 2- point question = 2x

Also, Let y = Number of 4-point question.

Now, Total question : x+y+2x =28

⇒ 3x+ y =28    (i)

Total marks = 5x + 2 (2x)+4=100

⇒ 5x+4x+4y=100

⇒ 9x+4y=100     (ii)

Multiply 3 on both sides of (i), we get

9x+3y = 84    (iii)

Subtract (iii) from (ii), we get

y= 16

Put this in (i0, we get

3x+(16)=28

⇒ 3x = 12

⇒ x=4

Now, Number of 5-point question = 4

Number of 2-point questions = 2(4)=8

Number of 4-point question = 16

Answer 2

Answer

Answer: Number of 5-point question = 4

Number of 2-point questions =8

Number of 4-point question = 16

Step-by-step explanation:

Let x = Number of 5-points question.

then, Number of 2- point question = 2x

Also, Let y = Number of 4-point question.

Now, Total question : x+y+2x =28

⇒ 3x+ y =28    (i)

Total marks = 5x + 2 (2x)+4=100

⇒ 5x+4x+4y=100

⇒ 9x+4y=100     (ii)

Multiply 3 on both sides of (i), we get

9x+3y = 84    (iii)

Subtract (iii) from (ii), we get

y= 16

Put this in (i0, we get

3x+(16)=28

⇒ 3x = 12

⇒ x=4

Now, Number of 5-point question = 4

Number of 2-point questions = 2(4)=8

Number of 4-point question = 16

Step-by-step explanation: got the answer from the last person who answered and they are correct


Related Questions

a) Find the value of 15 – 3 x 4​

Answers

Answer:

3

Step-by-step explanation:

order of operations so

15-(3x4)

15-12

3

please help!! will give brainliest

Answers

Answer A is the only one that seems to make sense to me id choose A

a and d are true statement

ok as know to me

Which of the binomials below is a factor of this trinomial? 4x2 + 12x + 9
A. 2x-3
B. 2x-1
C. 2x+1
D. 2x+3​

Answers

Answer:

d-2x-3

Step-by-step explanation:

The factor of the trinomial will be (2x + 3) and (2x + 3). Then the correct option is D.

What is a factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The trinomial is given below.

⇒ 4x² + 12x + 9

Then the factor of the trinomial will be

⇒ 4x² + 12x + 9

⇒ 4x² + 6x + 6x + 9

⇒ 2x(2x + 3) + 3(2x + 3)

⇒ (2x + 3)(2x + 3)

⇒ (2x + 3)²

Then the correct option is D.

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ2

Question 3 of 5
What is the equation of the line through (2. - 4) and (0,4)?
A. y=-4x - 4
B. y=-4x+4
O C. y= 4x+ 4
O D. y=4x - 4

Answers

A. y=-4x-4 where m=-4 and c=-4 for the equation y=mx+c

5(5t-2) = -35

show how to solve the given equation ​

Answers

distribute the 5
25t-10=-35
+10 +10
25t =-25
divide by 25 on both sides
t=-1

(USE THE CIRCLE GRAPH BELOW.)
Magazine sales total $25,000.
Boating 10%
Sports 35%
Other 5%
Adult 20%
Teen 30%
How much more is made on Sports magazines than Teen magazines?
A. $5
B. $12.50
c. $1.25
D. $1250
E. $12,500

Answers

Answer:

b

Step-by-step explanation:

Answer:b

Step-by-step explanation:

A publisher sells 10⁶ copies of a new book. Each book sells 10² pages. How many pages total are there in all of the books sold? Write the answer using exponents.
1 point

Answers

Answer:

10^12.

Step-by-step explanation:

You need to solve 10^6 * 10^2 without using standard notation. As with variables, if you had x^6 * x^2 you would add the exponents. Replace x with 10. Your answer is 10^8. As a sidenote, only multiply exponents when raising a power to another power, e.g. (10^6)^2 = 10^12.

Answer:

10000000

Step-by-step explanation:

Solve for x:
15 + 8x = 47

Answers

Answer:

The answer is x=4

Step-by-step explanation:

Which property of real numbers is shown below?
3+ ((-5) + 6) = (3 + (-5)) + 6
commutative property of addition
identity property of multiplication
associative property of addition
commutative property of multiplication

Answers

Answer:

the answer is associative property of addition

Step-by-step explanation:

the things is no matter how you switch out the numbers you will have the same income.

Answer:

If I am not mistaking it would be identity property sorry if I am wrong

Step-by-step explanation:

May I please have brainly i will almost finish my circle for brainlys please

HELP PLS IMMEDIATE HELP PLS

Answers

Answer:

yc8,iv,g-)-*6"9-*"me &¶ lgz

Answer:

x= -6

Step-by-step explanation:

hey guys can you answer this one question real quick

Answers

Answer:

a. 1/5

b. (3, 3/5)

c. 1/5x = y

Step-by-step explanation:

Remember: (x, y)

0.5 = 1/2

(1/2, 1/10) = 1/10 ÷ 1/2 = 1/10 • 2 = 1/5, you can divide y/x = constant of proportionality. 1/10 ÷ 1/2.

1 2/5 = 7/5

(7, 7/5) = 7/5 ÷ 7 = 7/5 • 1/7 = 1/5, y/x = constant of proportionality. 7/5 ÷ 7.

a. 1/5 is the constant of proportionalityb. (3, 3/5) because 3/5 ÷ 3 or 3/5 • 1/3 = 1/5.c. 1/5x = y

14. On March 1 Tessa Obee deposited her IRS refund check for $9,364.85 in a savings account at State Bank. The account pays 4 percent interest calculated on a daily basis. Five days later on March 6 she withdrew $1,000.00. On March 18, 12 days later, she withdrew $2,000.00. On March 28, 10 days later, she withdrew another $2,000.00. Three days later on March 31 interest was computed. How much simple interest did her money earn?

Answers

Answer:

Her money earned a simple interest of $24.55.

Step-by-step explanation:

Since Tessa deposited $9364.85 and she gets 4% interest on daily basis, then before she withdraws $1000 after 5 days, she must've gotten an interest of:

9364.85 x 4% × (5/365) ≈ 5.13

After withdrawing $1000, she has $8364.85. If this remains in the account for 12days, as we have in the question, then the interest on that will be:

8364.85 x 4% × (12/365) ≈ 11.00

After withdrawing $2000, she has $6364.85. If this remains for 10days, her interest would be:

6364.85 x 4% × (10/365) ≈ 6.98

After withdrawing $2000, she has $4364.85. If this remains for 3days, her interest would be:

4364.85 x 4% × (3/365) ≈ 1.44.

In totality, her interest would be: 5.13 + 11.00 + 6.98 + 1.44 = 24.55.

Hence, her money earned a simple interest of $24.55.

Two cars travel at the same distance. The first car travel at 50 miles per hour and reaches its destination at t hours. The second car travels at a rate of 60 miles per hour and reaches its destination 1 hour earlier than the first car how long does it take for the first car to reach its destination

Answers

Answer:

The first car reaches its destination in 6 hours.

Step-by-step explanation:

Speed of the first car = 50 miles per hour

Time taken = t hours

Distance travelled = Speed × Time = 50 t

Speed of the second car = 60 miles per hour

Time taken = [tex](t-1)[/tex] hours

Distance travelled = Speed × Time = [tex]60(t-1)[/tex]

As two cars travel the same distance,

[tex]50t=60(t-1)\\50t=60t-60\\60=60t-50t\\60=10t\\t=\frac{60}{10}\\t=6[/tex]

So, the first car reaches its destination in 6 hours.

It would take the first car 6 hours to reach its destination.

Speed is the ratio of distance to time. It is given by:

Speed = distance /time

Since the two cars travel at the same distance, let d represent this distance.

The first car travel at 50 miles per hour and reaches its destination at t hours. Hence:

50 = d / t

d = 50t   (1)

The second car travels at a rate of 60 miles per hour and reaches its destination 1 hour earlier than the first car. Hence the time = t - 1. Hence:

60 = d / (t - 1)

d = 60(t - 1)

d = 60t - 60   (2)

Equating both equations gives:

50t = 60t - 60

10t = 60

t = 6 hours

Hence it would take the first car 6 hours to reach its destination

Find out more at: https://brainly.com/question/22610586

Can someone help me ASAP!!
WILL MARK YOU BRAINLIEST!!!!!!!!!!!

Answers

Answer: Number 2 is the second one B

Answer:

I’m pretty sure that #1 is D because their are 4 different degrees making it a quadratic

Step-by-step explanation:

1.The growth of a sample of bacteria can be modeled by the function b(t)=100(1.06)t where b is the number of bacteria and t is time in hours.

What is the number of total bacteria after 3 hours?

Answers

Given:

The growth of a sample of bacteria can be modeled by the function

[tex]b(t)=100(1.06)^t[/tex]

where, b is the number of bacteria and t is time in hours.

To find:

The number of total bacteria after 3 hours.

Solution:

We have,

[tex]b(t)=100(1.06)^t[/tex]

Here, b(t) number of total bacteria after t hours.

Substitute t=3 in the given function, to find the number of total bacteria after 3 hours.

[tex]b(t)=100(1.06)^3[/tex]

[tex]b(t)=100(1.191016)[/tex]

[tex]b(t)=119.1016 [/tex]

Therefore, the number of total bacteria after 3 hours is 119.1016.

Which equation has x=4 as the solution

Answers

Answer:

x + 6 = 10

x = 4

Answer:

A) [tex]log{4}[/tex] (3x+4) = 2

Step-by-step explanation:

took the test

Which expression has a positive value?
O-4+(-5)(-6)+(-3)
810-(2)(-2)]
3(-64-8) + 25
-2(-5) (-3) + 10

Answers

Answer:its c

Step-by-step explanation:

Took the test

Answer:

C

Step-by-step explanation:

Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21?

Select each correct answer.

1. (7, 0)

2. (11, 3)

3. (−3, 3)

4. (−1, −6)

Answers

We must plugin values:
3(7)-4(0)=21, is CORRECT since 7•3 is 21 and -4•0 is 0
3(11)-4(3)=21 is CORRECT since 3•11=33 and -4•3=-12 so 33-12=21
3(-3)-4(3)=21 is INCORRECT since 3•-3 is -9 and -4•3 is -12, -9-12 is -21
3(-1)-4(-6)=21 is CORRECT since 3•-1 is -3 and -4•-6 is 24 and so 24-3=21

Answer:

1. (7, 0)

2. (11, 3)

4. (−1, −6)

These are correct

what is the value of 6^2

Answers

Answer:12

Step-by-step explanation:6x2=12

Answer:

its 36

Step-by-step explanation:

I'm really lost?? help please

Answers

If u are lost then go to police and ask for help



4.) Trapezoids ABCD and EFGH are congruent. What is the length of side FG?
a. 9 m
b. 12 m
C. 15 m

Answers

Answer:

C. 15m

Step-by-step explanation:

if ABCD and EFGH are congruent that means that they are equivalent to each other. If side FG is the base of that trapizoid, and side CD is the base with the measurement of 15m, then we are left to believe that side FG is 15m

The following statement is an example of: every fall there have been hurricanes in the tropics. Therefore, there will be hurricanes in the tropics this coming fall.



Is it deductive, indutive reasoning or a conjecture.

Answers

Answer:

Deductive reasoning

Step-by-step explanation:

Here, we want to know the kind of reasoning the statement is.

In this question, the kind of reasoning is deductive

In the deductive reasoning type, we go from general cases to specific cases

It is just like saying the reason why there will be hurricanes in the tropics this fall is because there is an hurricane every fall

So we have gone from a general case to give a specific case

The kind of reasoning which is depicted by the statement given above is deductive reasoning.

From the statement, we are moving from a general perspective, which is the fact that, hurricane occurs every fall in the tropics.

Using these general precedence, we deduce that the same event will occur again.

We are basing a reasoning on a general fact, hence, the reasoning is deductive.

Therefore, the reasoning in the scenario above is deductive.

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Don't understand this at all, please help!

Answers

For number 4, the midpoint is M, so the lengths of the 2 segments are half of the whole. PM and MQ are 11.

For number 5, TM and MS are 7.5.

Have an amazing day :)

Someone please helpppp!!no bs answers.
geometry

Answers

Answer:

Line TB is congruent to line BR.

B is the midpoint of line TR.

Line TB plus line BR is equal to or congruent to line TR.

*wink face lol*

(x,-5) and (1,2); slope = 7/6

Answers

Answer:

x=-5

Step-by-step explanation:

y-2=(7/6)(x-1)

y=(7/6)x+5/6

using y =-5

-5=(7/6)x+5/6

-35/6=(7/6)x

x=-5

275,000 plus 5.4 times 10 to the 5th power

Answers

Answer:

542750 would look like this in expanded form

Step-by-step explanation:

275,000 plus 5.4 times 10 to the 5th power can be written as...

[tex]275,000+5.4*10^{5}[/tex]

simplify 30x³÷45xy²​

Answers

Answer:

[tex]30 {x}^{3} \div 45x {y}^{2} = \\ 6 {x}^{2} \div 9 {y}^{2} = \\ 2 {x}^{2} \div 3 {y}^{2} = \\( 2 \div 3) \times (x \div y) ^{2} [/tex]

2h − 3 = 3 Need some help

Answers

Answer: Let's solve your equation step-by-step.

2h−3=3

Step 1: Add 3 to both sides.

2h−3+3=3+3

2h=6

Step 2: Divide both sides by 2.

2h/2 = 6/2

h = 3.

If B is between C and D, BC = 10 in., and BD = 3 in., then CD = ________.

Answers

if B is between C and D, BC= 10 in., and BD=3 in., then CD =2AD

Answer: CD is 13
See attached picture

what number of dots has “1 from 3” code 1021?

Answers

Answer:

4 is the answer is it right

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