135 high-school freshmen were interviewed:
35 of them took physical education (P.E.);
42 took BIO (biology);
60 took ENG (English);
10 took P.E. and BIO;
15 took P.E. and ENG;
7 took BIO and ENG; and
5 took all three subjects.
-----
How many students took ENG but neither BIO nor P.E.?

Answer:

17/28

60.7%

17:28

11/28

39.3%

11:28

Difference:  [tex]\frac{3}{14}[/tex]

Explanation:

A fraction can be turned into a percent by dividing the numerator by the denominator and multiplying the result by 100%.

For example:

17/28 = 0.607

0.607 * 100% = 60.7%

A fraction can be turned into a ratio by writing it like this:

numerator:denominator

For example:

11/28

11:28

To find the difference between 2 fractions with the same denominator, simply subtract the 2 numerators.

For example:

[tex]\frac{17}{28} - \frac{11}{28}[/tex]

You subtract 11 from 17, then put the resulting 6 in the fraction with the same denominator. This results in [tex]\frac{6}{28}[/tex] which can be simplified to [tex]\frac{3}{14}[/tex].

- Kan Academy Advance

The line perpendicular to y - 3 = 4(x+2) is y-3 = -1/4(x+2)

Two lines are said to be perpendicular if the product of their gradient is -1.

which means m1 x m2 = -1

Analysis:

y - 3 = 4(x+2)

y = 4x + 8+3

y = 4x + 11    m1 = 4

so m1 x m2 = -1

m2 = -1/4

so from the options, the equation with a gradient x = -1/4 is C, y-3 = -1/4(x+2)

In conclusion, the line that would be perpendicular to y - 3 = 4(x+2)

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Answer:

5,630.81$

A = 5000(1 + (0.04 × 3)) = 5600

A = $5,630.81

Answer:

a=3

Step-by-step explanation:

gradient = rise /run

   for a  =6/2 =3

hope this helps :)

.........

Answer:

y=4√x

Step-by-step explanation:

[tex]y = k \sqrt{x} [/tex]

[tex]24 = \sqrt{36} k[/tex]

[tex]24 = 6k[/tex]

[tex]k = 4[/tex]

[tex]y = 4 \sqrt{x} [/tex]

Answer:

Domain is -1 ≤ x ≤ 1.

Range is  0 ≤ y ≤ π/2.

Step-by-step explanation:

The  arcsin only exists for  -1 ≤ x ≤ 1 so this domain is

-1 ≤ x ≤ 1.

When x = 1 or -1 ,  y =  arcsin(1^2) = π/2

When x = 0 , y = 0.

Answer:

The equation to find Hannah's age is  2h - 2 = 92.

This yields Hannah's age as 47 years.

Step-by-step explanation:

Let h = Hannah's age.

Hannah is older than her sibling, and their ages are consecutive odd integers. Therefore, h = an odd number and the sibling's age =  h-2.

The sum of their ages is 92, therefore

h + (h-2) = 92

2h - 2 = 92

2h = 94

h = 47 years

6 bowls can hold 16 tomatoes.

Given:

Total tomatoes: 16

Each bowl holds: 3 tomatoes

Explanation:

To find the number of bowls needed divide total tomatoes by tomatoes each bowl can hold.

Solve:

16 ÷ 3 = 5.333...

So, we need more than 5 bowls, [6 bowls] to hold the tomatoes.

Answer:

6 bowls

Step-by-step explanation:

So . .

Then . .

Reason. .

Because you must be able to hold all 16! Therefor you round!

Hope this helps!  

In ∆DAC and ∆BCA

Diagonals of a parallelogram bisect each other

Opposite angles are equal

Also

And

Opposite sides are equal in a parallelogram

So by Side-angle-side similarity

Both triangles are equal

Hence

Answer:

The phone roughly cost 302 dollars

Step-by-step explanation:

10% of 432=43.2

20% of 432=86.4

432-129.6=302.4

Answer:

the 6 aunts

Step-by-step explanation:

because all of them together add up to 24. 25 percent of 24 is 6.

[tex]\text{Slope- intercept form is y =mx+c, where m is the slope and c is the y-intercept.}\\ \\\textbf{1)}\\\\~~~~~3x = -8+y\\\\\implies y = 3x +8\\\\\textbf{2)}\\\\~~~~~9=3x+3y\\\\\implies 3y= 9-3x\\\\\implies y= \dfrac 13(9-3x)\\\\\implies y= 3-x\\\\\implies y= -x+3\\\\\textbf{3)}\\\\~~~~~~4y-10 = 20x\\\\\implies 4y = 20x +10\\\\\implies 2y = 10x +5\\\\\implies y = \dfrac 12(10x +5)\\\\\implies y= 5x +\dfrac 52[/tex]

5xy - 4x

Step-by-step explanation:

6xy-xy= 5by

-5x+ x= -4x

Hey there!

6xy - xy - 5x + x

= 6xy - 1xy - 5x + 1x

COMBINE the LIKE TERMS

= (6xy - 1xy) - (5x + 1x)

= 6xy - 1xy - 5x + 1x

= 6xy - xy - 5x + x

= 5xy - 4x

Therefore, the answer should be:

5xy - 4x

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

She could put 6 markers and 8 stickers in each bag to make 8 bags in total.

Answer: 17, 13, 9, 5, 1

Step-by-step explanation:

y=-2(-2) + 9 = 13

y=-2(0) + 9 = 9

y=-2(2) + 9 = 5

y=-2(4) + 9 = 1

Answer:

-7.6

Step-by-step explanation:

there are many correct answers for this problem

The number that is greater than -7.81 and less than -7 is -7.41. This can be written as -7.81 < -7.81 < -7. This is obtained by taking the midpoint or middle integer of the given integers.

Given that a number that is greater than -7.81

so, we can write -7.81 <?

And it is also given that the same number which is less than -7. we can write it as -7 >?

So, from this two we can state that the number which is required lies in between the given two integers.

so, we can write -7.81 <?< -7

To find this, we are applying the average for the two integers.

⇒ -7.81 - 7 = -14.81

⇒ -14.81/2 =-7.405 ≅ -7.41

The obtained number satisfies the given conditions

-7.81 < -7.41 and -7 > -7.41

Therefore, the required number is -7.41.

Learn more about integers here:

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Answer:

1/4.

Step-by-step explanation:

1/8 plus 1/8 is 2/8. This is because if we add the numerators it is 2, and therefore it is 2/8. This simplifies to 1/4 if you divide the numerator and denominator by 2. Hope this helps!

Answer: 1/4

Step-by-step explanation: 1/8 + 1/8= 2/8 and if you simplify that it would be 1/4 sorry if this doesn't help

Answer:

1075

Step-by-step explanation:

Let us say pi/ is 3.14

Diameter is radius times 2, so the radius is half of 37(aka 18.5)

A = n[tex]x^{2}[/tex]

A = 3.14 x 18.5²

A = 3.14 x 342.25

A =  1074.665

snice 6 > 4

A = 1075

Answer:

B

Step-by-step explanation:

circle equation is :

[tex](x - a) ^{2} + (y - b) ^{2} = r^{2} [/tex]

With (a) being the x coordinate of the centre and (b) being the y coordinate of the centre, r is the radius;

make sure to square the radius when using it in this formula

Answer:

V = 36π x 14

Step-by-step explanation:

The volume of a cylinder can be found by multiplying the base area and the height. Therefore, the following equation can be written:

V = 36π x 14

Answer:

Option 4

Step-by-step explanation:

Formula for volume of a cylinder :

Volume = Base Area x Height

Hence :

⇒ V = 36π x 14

Answer:

D. 6

Step-by-step explanation:

Suppose the triangles are similar:

The side lenghts would be proportional as follows

XZ/DF = XY/DE

12/8 = 9/x cross multiply expressions

12x = 72 divide both sides by 12

x = 6

Answer:  4(8 + 3x)

To Find :  Describe the two factors in this expression

How many terms are in each factor of this expression

coefficient of the variable term

Solution:

4(8 + 3x)  

two factors in this expression  are

4  and ( 8 + 3x)

terms  in each factor of this expression

1 term in 4

2 terms in (8 + 3x)

coefficient of the variable term is 3   in factorized form

4(8 + 3x) =   32 + 12x

and coefficient of the variable term is 12   in expanded form

learn More:

find the value of x by factorization, x2-8x+1280=0 - Brainly.in

brainly.in/question/7343350

Using factor theorem, factorize each of the following polynomial ...

brainly.in/question/15904651

Factorise: 1. a3 – 4a2 + 12 – 3a 2. a3x – x4 + a2x2

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

lol

Answer:

50 calories

Step-by-step explanation:

One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. The fraction that comes from fat:

= 90/150 = 3/5

One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. The fraction that comes from fat here:

= 12/120 = 1/10

The fat that are provided by a 100 calorie serving of the microwave popcorn would be:

= 3/5 × 100

= 60

The fat that are provided by a 100-calorie serving of the pretzels would be:

= 1/10 × 100 = 10

The difference from fat that are provided by a 100 calorie serving of the microwave popcorn than are provided by a 100-calorie serving of the pretzels would be:

= 60 - 10

= 50 calories

Answer:

ruler: £0.50

pencil: £0.45

Answer:

  C.  x - y > x

Step-by-step explanation:

You can compare the values of these expressions by using numerical values for x and y.

__

We can let x = 1 (a positive integer), and y = -1 (a negative integer).

  y > x + y

  -1 > 1 + (-1)

  - 1 > 0 . . . . . . false

  y < xy

  -1 < (1)(-1)

  -1 < -1 . . . . . . false

 x - y > x

  1 - (-1) > 1

  2 > 1 . . . . . . true

  -xy < x

  -(1)(-1) < 1

  1 < 1 . . . . . . . false

Sadie's earnings varys directly with the number of hours worked.

The number of hours worked in a week where her earnings would be $210 is 20 hours.

Direct variation is when two variables move in the same direction. If one variable increases, the other variable increases. Sadie's earnings increase with hours worked. This is a direct variation.

Hours worked = Total earnings / earning per hour

210 / 10.50 = 20 hours

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Answer:

A: 0.3318 m^2  P: 2.66

Step-by-step explanation:

The perimeter is only adding each of the side lengths, so that's not much of an issue. The equation for the area of a triangle is A = (b x h)/2, with "b" being the base length and "h" representing the triangle's height. We must first multiply the base and height, 0.84 x 0.79. This makes 0.6636 which we will then divide by 2. Our area is now proven to be 0.3318 square meters.