Out of 140 students, 92 are taking an English course, 74 are taking a history course and 41 are taking both. Find the number of these 140 students who are taking a history course but not an English course?

Answer:

4x + 64

Step-by-step explanation:

(X + 14) + (X + 14) + (2x + 36) = 4x + 64

Answer:30 cm

Step-by-step explanation:

Area is found by two side lengths multiplied together, the two side lengths in the problem are 5cm and 6cm, 5 times 6 is 30, (plus add the measurement) which is 30 cm. :))

The area of the rectangle which has sides that measures 6cm and 5cm is 30 cm²

The rectangle has two sides that measures 6cm and 5cm respectively

The formula for calculating the area of a rectangle is length multiplied by width

The area of the rectangle can be calculated as follows

= 6 × 5

= 30 cm²

Hence the area of the rectangle is 30 cm²

Read more on rectangle here

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Pythagoras Theorem

BC = 3 cm

Step by step explanation :

» Attached «

How much greater is [tex]8.9*10^8[/tex] than [tex]1.6*10^6[/tex]? Express your answer using either standard notation or scientific notation.

[tex]8.9*10^8 - 1.6*10^6[/tex]

[tex]890,000,000-1,600,000[/tex]    Convert to standard notation

[tex]888,400,000[/tex]    Standard Notation

[tex]8.884*10^8[/tex]     Scientific Notation

9514 1404 393

Answer:

  top down: 13, 3, -7, -47

Step-by-step explanation:

You evaluate any equation by putting the numbers in place of the corresponding variables and following the rules of arithmetic.

For x = -1, put -1 where x is and do the math.

  y = -10(-1) +3 = 10 +3 = 13

For x = 0, put 0 where x is and do the math.

  y = -10(0) +3 = 0 +3 = 3

For x = 1, put 1 where x is and do the math.

  y = -10(1) +3 = -10 +3 = -7

For x = 5, put 5 where x is and do the math.

  y = -10(5) +3 = -50 +3 = -47

The table values are 13, 3, -7, -47.

There is only one real solution to these two equations, which we can see on the graph. The solution is where the two equations intersect.

Hope this helps!! :)

9514 1404 393

Answer:

  (i) ∠CDF = 86°

  (ii) ∠BAD = 141°

Step-by-step explanation:

(i) Angles CDF and GFD are "alternate interior" angles, so are congruent.

  ∠CDF = 86°

__

(ii) Angles BAD and CDA are "alternate interior angles, so are congruent. Angle CDA is the sum of angles CDH and HDA. Angle CDH is supplementary to angle CDF, so is ...

  ∠CDH = 180° -∠CDF = 180° -86° = 94°

Then ...

  ∠CDA = ∠CDH +∠HDA = 94° +47°

  ∠CDA = 141°

Answer:

C. 2 1/10

Step-by-step explanation:

15 7/10-13 3/5= 15 7/10 - 13 6/10=

2 1/10

Answer:

D

Step-by-step explanation:

I had this question on a test and D was right

it's worded the exact same way

Answer:

a.

providing a force to propel the snowboarder down a slope to gain speed

The guy above me is a fool

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

I really don't know what to write to these questions. I can never tell what the problem is. Perhaps it is right at the very beginning. You have to recognize what is taking place. In problem 9, the easiest point to follow is H going to H'. Do you see what is happening? H is sitting on the x axis and then something happens to it and behold, it is now sitting on the y axis. So it has rotated 90 degrees but which way?

Take your finger or a pencil and put it on H. Then make a circular motion to get to H'. You are going clockwise. (keep going in that direction till you wind up where you started. You are going in the direction of one of those old fashioned clocks. Now the trick in a rotation is if you can figure out what one point is doing, you know what all points are doing on the given figure.

So the translation is 90 degrees clockwise. That means the following rule must be operating

(x,y) ===> (y, - x)

H(-3,0) ===> H'(0, - - 3) = H'(0,3)

I(-2,1) =====>I'(1, - - 2) = H'(1,2)

J(0,1) =====>J'(1,0)

G(-3,-3)====>G'(-3, --3) = G'(-3,3)

11

At first you may think that this is a translation of some kind. I thought so at first. D and D' certainly look that way and C and C' also look that way. But B and E are not well behaved. You are looking at a 180 degree rotation

The rule you need here is (x,y) becomes (-x , - y)

I'll leave C and D to you and do one of the B and E

E(3,5)=E'(-3 , - 5)

9514 1404 393

Answer:

  9) (x, y) ⇒ (y, -x) . . . . rotation 90° CW

  11) (x, y) ⇒ (-x, -y) . . . rotation 180°

Step-by-step explanation:

9) Distance from the origin to an image point is the same as to the preimage point, but the direction is changed by 90° in the CW direction. For example, J is north of the origin, but J' is east, a direction change of 90° CW.

The transformation describing a 90° CW rotation is the rule ...

  (x, y) ⇒ (y, -x)

__

11) Distance and direction to each image point from the origin are equal and opposite of distance and direction to the preimage point. The figure has been rotated 180°. The corresponding rule is ...

  (x, y) ⇒ (-x, -y)

Answer:

220

Step-by-step explanation:

Answer:16

Step-by-step explanation: So we know that a square has 4 equal sides, and if one of the sides is 4, then that means all sides were 4. Are is side * side. so the area is 4*4  wich is 16!

Answer:

16

Step-by-step explanation:

Square formula: side²

So 4²=16

Math breh™

Answer:

Step-by-step explanation:

Number of 1/6 in 1 is 6.

Number of 1/6 in 3 is:

Correct choices are B and C

There are 6 1/6 exist between 1 and 0

No of 1/6 between 3 wholes:-

[tex]\\ \sf\longmapsto 3\div \dfrac{1}{6}[/tex]

[tex]\\ \sf\longmapsto 3\times 6[/tex]

[tex]\\ \sf\longmapsto 18[/tex]

Options B and C

9514 1404 393

Answer:

  A) $157,555

Step-by-step explanation:

The sum of assets is ...

  house + 2 cars = $280,000 +5,200 +15,600 = $300,800

The sum of liabilities is ...

  mortgage +car loan +credit card +wedding

  = $113,545 +9,200 +2,300 +18,200 = $143,245

The family's net worth is the difference between assets and liabilities:

  $300,800 -143,245 = $157,555

Answer:

6.5555 months

Step-by-step explanation:

$415-$120= $295

Micah will need $295 from his paycheck earnings to be able to afford the guitar.

$295/$45= 6.5555months

Answer:

yes (6,5) is a solution

Step-by-step explanation:

Answer:

bro no one can see that

Step-by-step explanation:

Answer:

8ounces

Step-by-step explanation:

pounds* 16= ounces

therefore 1/2pounds *16=8ounces

Answer:

[tex]{ \rm{V(x) = 4x {(10 - x)}^{2} }} \\ \\ { \rm{ \frac{dv}{dx} = 4 {(10 - x)}^{2} + 4x( - 2(10 - x))}} \\ \\ { \rm{ \frac{dv}{dx} = 4 {(10 - x)}^{2} + 4x( - 20 - 2x) }} \\ \\ { \rm{ \frac{dv}{dx} = 4(100 - 20x + {x}^{2} ) + ( - 80x - 8 {x}^{2} ) }} \\ \\ { \rm{ \frac{dv}{dx} = - 4 {x}^{2} - 160x + 400}}[/tex]

• But at maximum volume, dv/dx is 20 square inches.

[tex]{ \rm{ - 4 {x}^{2} - 160x + 400 =2 0}} \\ \\ { \rm{ {x}^{2} + 40x - 95 = 0}}[/tex]

• Using the quadratic formula:

[tex]{ \underline{ \rm{ \: \: x \approx3\: \: squares \: \: }}}[/tex]

• Therefore,

For maximum volume,

[tex]{ \rm{V(x) = 4x(10 - x) {}^{2} }} \\ \\ { \rm{V(3) = (4 \times 3)(10 - 3) {}^{2} }} \\ \\ { \rm{V(3) = 12 \times 49}} \\ \\ { \boxed{ \rm{V = 588 \: {in}^{3} }}}[/tex]

[tex]a) \: x \times x \times x = x {}^{3} \\ b) \: y \times y \times y \times y \times y = y {}^{5} [/tex]

Answer:

a) x³

b) [tex]y^{5}[/tex]

Answer:

9

Step-by-step expation:

Answer:

5 average speed

Step-by-step explanation:

Answer:

eeessddsddddddddd

Step-by-step explanation:

ddds

Answer:

8.618 divided by 0.695= 12.4

hope this helps <3

Answer:

Step-by-step explanation:

1 3/14 divided by 1/8

17/14x8

17x4/7

68/7

9 5/7