Can somebody help me with this question, please? I have no idea how to do this or find the answer. :/ How many ways are there to choose a number from the set {−96, −48, −42, −36, −18, −14, −6, 14} that is divisible by either 6 or 8?

Answers

Answer 1

Answer:

28 different ways

Step-by-step explanation:

This is a combination question. Combination has to do with selection.

Total number of element in the set = 8

Number divisible by 6 or 8 are {-98, -48, -42, -36, -18, -6}

Total number divisible by 6 or 8 is 6

The number of ways we can choose 6 items from 8 is expressed as;

8C6 = 8!/(8-6)!6!

8C6 = 8!/(2)!6!

8C6 = 8*7*6!/2!6!

8C6 = 8*7/2

8C6 = 56/2

8C6 = 28 ways

Hence there are 28 different ways


Related Questions

What is the equation of the following line written in slope-intercept form?



y = 5x
y = -5x
y =

Answers

Answer:

_+5 is the best way to get the best way answer

This area model shows the quotient of 1/5÷4.

Answers

Answer: 4/5

Step-by-step explanation: 1/5 times 5/1=4/5

y= 2x +3
y= 4x-3
Is(3,9) a solution of the system?
Choose 1 answer:
A: yes
B: no

Answers

Answer:

B:yes

Explanation:

Label the point 3 would be x and 9 would be y. Substitute these points into the equation were it corresponds.
Y= 2x+3
9=2(3)+3
9=6+3
9=9

Y=4x-3
9=4(3)-3
9=12-3
9=9

Hope this helps!!

Answer:

A: yes :)

Step-by-step explanation:

plsss help no spam.



.....................​

Answers

Answer:

Third one.

x=6 y=12

Ok!

Answer:

fourth option

Step-by-step explanation:

Given the 2 equations

y = 2x - 3 → (1)

x + y = 18 → (2)

Substitute y = 2x - 3 into (2)

x + 2x - 3 = 18

3x - 3 = 18 ( add 3 to both sides )

3x = 21 ( divide both sides by 3 )

x = 7

Substitute x = 7 into (1) for corresponding value of y

y = 2(7) - 3 = 14 - 3 = 11

Solution is x = 7, y = 11

Evaluate each expression using the values m = 7, r = 8, and t = 2.

1. 5m - 6
2. 4m + t
3. r/t
4. mt
5. 5r + 2m
6. rm
7. 3m - 5t
8. mr/t​

Answers

Answer:

Step-by-step explanation:

For addition and subtraction, use the standard + and - symbols respectively. For multiplication, use the * symbol. A * symbol is not necessary when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5).

SGA is doing a fundraiser to sell candles for project graduation. Small candles cost $4.00 and large candles cost $6.00. They have at most 50 candles, and want to make at least $100. Which system of linear inequalities represents the situation? x: The number of small candles y: The number of large candles

Answers

Given:

Cost of small candles = $4.00

Cost of large candles = $6.00

They have at most 50 candles, and want to make at least $100.

To find:

The system of linear inequalities represents the situation.

Solution:

Let x be the number of small candles and y be the number of large candles.

At most 50 candles means total candles must be less than or equal to 50.

[tex]x+y\leq 50[/tex]

Want to make at least $100. It means, the total sales must be greater than or equal to $100.

[tex]4x+6y\geq 100[/tex]

Therefore, the inequalities in the system of linear inequalities are [tex]x+y\leq 50[/tex] and [tex]4x+6y\geq 100[/tex].

PLSSSS HELP ASAP!! GIVING BRAINLIEST!! Pls Explain :)
At the store, meat was $73.70 for 5 pounds. If you bought 15 pounds, how much would it cost?

Answers

Answer: 221.10

Step-by-step explanation:

If BC = 3x, CD = 7x, and BD = 10, what is BC?

Answers

Answer:

BC= 3

Step-by-step explanation:

Suppose a line BD is 10 and it has a point C somewhere on the  line. It is given that BC is  3times and CD is 7 times  or algebraically  if we take x as a variable then according to the given information

BC+ CD= BD

3x+ 7x= 10

10x= 10

x= 10/10

x= 1

3x would give 3 (1)= 3

Hence the Line BC = 3

and the line CD= 7

which calculation and answer show how to convert 9/16 to a decimal​

Answers

Answer: 0.5625

Step-by-step explanation:

A is ur answer

h ope it helps!

Construct an equilateral triangle of side 7cm and construct circumcircle.

Can anyone help me with this , I have to sumbit my PROJECT.

THanks

Answers

Answer:

To do this, all you need is to draw triangle with each side being 7 cm, and a circle that intersects all three of its corners.

Step-by-step explanation:

With a ruler and a pencil, draw a 7cm line.With a compass set to a radius of 7cm draw an arc centered around the right end of the line.With the same compass, still at 7cm, draw an arc centered around the left end of the line.These two arcs will intersect on either side of the line (you only need one side, so you only need a small arc in the right place, roughly where you think the third point if the triangle is.Where those arcs intersect is the third point on your triangle.  Mark that, and then trace two lines from that point to either end of the line segment you started with.

You now have an equilateral triangle with 7cm sides.  Next you need to draw the circle

Measure the halfway point on two of your three lines.Draw a line from that each of those halfway points to the opposite corner. The new lines you're drawing will be perpendicular to the edge your measuring against.You have now drawn two line segments, and they intersect in the center of the circle.  Now take your compass and set its radius to the distance from that center point to one of the three corner points.Centered on that middle point, trace a circle with the selected radius.

And you're done!

Determine the solution of the equation 4y - 5= 7.
A) 4
B) 3
C)

Answers

Answer:

B) 3

Step-by-step explanation:

add 5 to both sides, 4x=12

divide both sides by 4, x=3

Answer:

The answer is B) 3

Step-by-step explanation:

You add 5 to 7 to move it from one side to the other

You should then have 4y=12

Then to solve for why you divide 12 by 4

You will get y=3

So your answer is 3

Damian's teacher told him that the standardized score (z-score) for his science exam, as compared to the exam scores of other students in the course, is 1.50. Which of the following is the best interpretation of this standardized score?
Damian's test score is 150.
Damian's test score is 1.50 standard deviations above the average test score of students in the course.
Damian's test score is 1.50 above the average test score of students in the course.
Damian's test score is 1.50 times the average test score of students in the course.
None of the above gives the correct interpretation.

Answers

Answer:

Damian's test score is 1.50 standard deviations above the average test score of students in the course.

Step-by-step explanation:

Took the test

Solve the system of equations x + y = 12 and x + 7y = -20 by combining the
equations.

Answers

Answer:

this will be 12

Step-by-step explanation:

since you said =12

6) Jesse is buying a home for $450,000 at 7.8% interest and Jesse is putting 30% down? He wishes to buy 3 points what is the cost of the points?

Answers

Answer:

$9450

Step-by-step explanation:

Given that:

The price of the home = $450000

The interest = 7.8%

Down payment = 30% of price of the home

i.e 0.3 × 450000 = 135000

The principal outstanding balance = 450000 - 135000

= 315000

Finally, the cost of 3 points will be;

[tex]= 315000 \times \dfrac{3}{100}[/tex]

= $9450

WILL GIVE BRAINLIEST AND 100 POINTS FOR FIRST CORRECT ANSWER
MP _____ PK

Choose the relationship symbol to make a true statement.

Answers

the answer would be = because the slashes through the two lines indicate that they are the same

Answer:

give the person above brainliest

Step-by-step explanation:

Solving equations

3/4x+2=5

Answers

Answer:

x = 4

Step-by-step explanation:

x in (-oo:+oo)

(3/4)*x+2 = 5 // - 5

(3/4)*x-5+2 = 0

3/4*x-3 = 0 // + 3

3/4*x = 3 // : 3/4

x = 3/3/4

x = 4

AAAA HEL;P[ PLEASE JHSKJHKDJS

Answers

Answer:

c

Step-by-step explanation:

Answer:

for sure the third one i did the test

Step-by-step explanation:

Help!!!! I will give brainliest.

Answers

Answer:

Step-by-step explanation:

Well lets try to simplify this.

-3y= -4x +17

y=4/3 x - 17/3

Thus y-int is (0, -17/3)

To solve for x-int, y=0

y=4/3 x - 17/3

0=4/3 x - 17/3

4/3 x = 17/3

x=17/4

Thus x-int is (17/4, 0)

helpppppppppppppppppp ​

Answers

Answer:

addition

Step-by-step explanation:

if you add the 4 to the -2 you will get x=2 therefore isolating the variable

Solve these two by using factor the polynomial by grouping

Answers

Answer:

15. (8x^3 + 27)(x + 1)

17. (x^2 + 3)(x + 2)

Step-by-step explanation:

8x^3(x + 1) + 27(x + 1)

x^2(x + 2) + 3(x + 2)

What would be the equivalent discount for this item be?​

Answers

Answer:

it's almost $100 and there's $17 off. so 99.99-17  would make the exact cost 82.99

82.99/99.99= 0.8299 so you payed 83% and that would make it so you got a 17% discount.

but if you didn't want to do all the math, you could've just rounded the 99.99 up to 100, and $17 would make it a 17% discount.


In the diagram below
Please help I’ll give brainliest

Answers

Answer:

m<GFA = 110

Step-by-step explanation:

1. ABCD - parallelogram                          Definition of a parallelogram

                                                                   (AB ll CD) (AD ll BC)

2. m<B + m<C = 180                                    Consectuive angles in a

   110 + m<C = 180                                       parallelogram are supplementary

    m<C = 70                                    

3. m<GCB = 1/2 m<C                                  Definition of angles bisector

   m<GCB = 70

4. m<B = m<D = 110                                    Opposite angles in a

                                                                    parrallelogram are congruent

5. m<CDG = 1/2 m<D                                 Defintion of an angle bisector

  m<CDG = 55

6. m<GCB+m<CDG+m<CGD=180              Sum of anlges in a triangle (ΔCDG)

  70 + 55 + m<CGD = 180

   125 + m<CGD = 180

   m<CGD = 55

7. m<CGD + m<DGF = 180                            Linear pair, supplmentary angles

  55 + m<DGF = 180

  m<DGF = 125

8. m<C = m<A = 70                                     Opposite angles in a paralellogram

                                                                     are congruent

9. m<ADG = 1/2m<D                                       Definiton of an angle bisector

  m<ADG = 55

10.m<ADG+m<DFG+m<GFA+m<A=360        Sum of angles in quadrilateral

   55 + 125 + m<GFA + 70 = 360                    DGFA

    m<GFA + 250 = 360

   m<GFA = 110

A number y minus 12 is no more than −32.

The inequality is

Answers

Answer:

y-12<-32

Step-by-step explanation:

just remember to underline the less than sign

can someone please help me

Answers

Answer:

x=1

Step-by-step explanation:

Kent has a $20 gift certificate for the
pet store. He chooses 2 angelfish
that each cost $3.45 and 3 clownfish
that each cost $4.82.
If he uses his gift certificate, how
much money will he need to pay?

Answers

Answer:

let a be the number of angles is using the ratio of clownfish we can write the proportion

Step-by-step explanation:

cross multiply Zane divide both sides by 5 so there are 48 Angle Fish

for the Goldfish cross multiply or divide both sides by 4 so there are 36 goldfish

Damien deposited $100 into his savings account. He then deposits $15 three times per month. Write an equation that shows the amount in Damien's savings account after t months

Answers

Answer: 100 + 45t

Step-by-step explanation:

From the question, we are informed that Damien deposited $100 into his savings account and that he then deposits $15 three times per month.

The equation that shows the amount in Damien's savings account after t months will then be:

= $100 + [($15 × 3) × t months]

= $100 + $45t

= 100 + 45t

Need help!!!!!! ASAP

Answers

Answer:

og

Step-by-step explanation:

I don’t know how to say it but I don’t know how to say it but I don’t know how to say it

Let f(x) = −2x 2 − 7 and g(x) = √x + 3. Find (f ∘ g)(25)

Answers

Answer:

(f О g)(25) is -135

Step-by-step explanation:

The composite function (f О g)(x) means substitute x in f by g

f(x) = -2x² - 7

g(x) = √3 + 3

→ To find (f О g)(25), find g(25) first, then substitute x in f by the value of g(25)

x = 25

∴ g(25) = √25 + 3

∵ √25 = 5

∴ g(25) = 5 + 3

g(25) = 8

→ Now substitute x in f by 8

x = 8

∴ f(8) = -2(8)² - 7

∴ f(8) = -2(64) - 7

∴ f(8) = -128 - 7

f(8) = -135

(f О g)(25) = -135

Plz, Help me with this question.

Answers

Answer:

first option

Step-by-step explanation:

Given

area = 15x - 9 ← factor out 3 from each term

       = 3(5x - 3)

Thus the dimensions are 3 by (5x - 3)

The answer is the first option. When u take three out of the dimensions it gives you (5x-3)

I need help with this proof!

Answers

Answer:

∠B ≅ ∠F ⇒ proved down

Step-by-step explanation:

In the two right triangles, if the hypotenuse and leg of the 1st right Δ ≅ the hypotenuse and leg of the 2nd right Δ, then the two triangles are congruent

Let us use this fact to solve the question

→ In Δs BCD and FED

∵ ∠C and ∠E are right angles

Δs BCD and FED are right triangles ⇒ (1)

∵ D is the mid-point of CE

→ That means point D divides CE into 2 equal parts CD and ED

CD = ED ⇒ (2) legs

∵ BD and DF are the opposite sides to the right angles

∴ BD and DF are the hypotenuses of the triangles

BD ≅ FD ⇒ (3) hypotenuses

→ From (1), (2), (3), and the fact above

Δ BCD ≅ ΔFED ⇒ by HL postulate of congruency

→ As a result of congruency

∴ BC ≅ FE

∴ ∠BDC ≅ ∠FDE

∠B ≅ ∠F ⇒ proved

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