Please help me with this. When dividing fractions, the ________ term becomes the reciprocal. A. Second B. First C. Neither D. Both

Answer:

165 students (hope it helps)

Step-by-step explanation:

300students - 45students = 255students

180students + 150students = 330students

330students / 2 = 165

Answer:

75 students watched both.

Step-by-step explanation:

150 students saw Zootopia

180 students saw Finding Dory

45 students saw nothing.

There are 300 students in total.

[tex]|(300-45)-150-180|=\\|255-150-180|=\\|105-180|=\\|-75|=\\75[/tex]

Hey there! :)

Answer:

(x + 27)(x + 1)

Step-by-step explanation:

Given:

a² + 28a + 27

Find numbers that add up to 28 and multiply to 27:

We can find that the numbers 27 and 1 add up to 28 and multiply to form 27. Therefore, the equation in factored form is:

(x + 27)(x + 1)

Answer:

Solution,

[tex] {a}^{2} + 28a + 27 \\ = {a}^{2} + (27 + 1)a + 27 \\ = {a}^{2} + 27a + a + 27 \\ = a(a + 27) + 1(a + 27) \\ = (a + 27)(a + 1)[/tex]

Hope this helps..

Good luck on your assignment..

Answer:

c  ≥ -5

Step-by-step explanation:

-5c +2 ≤ 27

Subtract 2 from each side

-5c +2-2 ≤ 27-2

-5c ≤25

Divide by -5, remembering to flip the inequality

-5c/-5 ≥25/-5

c  ≥ -5

Answer: [tex]x\geq 5[/tex]

Step-by-step explanation:

[tex]-5x+2\leq 27\\Subtract\\-5x\leq 25\\Divide\\x\geq 5[/tex]

It's important to remember that when you divide both sides of an inequality by a negative number to flip the sign.

Hope it helps <3

Answer:

For the drop down menu:

i) x + y

ii) z²

iii) ½ xy

The complete question related to this found on brainly (ID:16485977) is stated below:

Mario writes the equation (x+y)² = z² +4( 1/2 xy) to begin a proof of the Pythagorean theorem. Use the drop-down menus to explain why this is a true equation.

_____finds the area of the outer square by squaring its side length.

_____finds the area of the outer square by adding the area of the inner square and the four triangles.

These expressions are equal because they both give the areas of outer space.

Find attached the diagram of the question.

Step-by-step explanation:

Pythagoras theorem is a formula that shows the relationship between the sides of a right angled triangle.

Pythagoras theorem

Hypotenuse ² = opposite ² + adjacent ²

From the diagram of the question.

Hypotenuse = z

Opposite = y

Adjacent = x

z² = x² + y²

Area of outer square = area of inner square + 4(area of triangles)

area of inner square = length² = (x+y)²

Expanding area of the outer square:

(x+y)² = (x+y)(x+y) = x²+xy+xy+y²

(x+y)² = x²+y²+2xy

= z² + 2xy

Area of inner square = length² = z²

Area of triangle = ½ base × height

= ½ × x × y = ½ xy

Area of outer square = area of inner square + 4(area of triangles)

(x + y)² = z² + 4(½xy )

Therefore, it is a true equation.

( x + y )² finds the area of the outer square by squaring its side length.

z² + 4( 1/2xy ) finds the area of the outer square by adding the area of the inner square and the four triangles.

These expressions are equal because they both give the areas of outer space.

So for the drop down menu:

i) x + y

ii) z²

iii) ½ xy

Answer:

a ) [tex]2 / n[/tex],

b ) [tex]15[/tex]

Step-by-step explanation:

This is a nice and short question we have here.

Given that a bag has n counters, and that one counter is blue, respectively the rest is red, if two counters are taken at random there isn't a definite percentage that one of the counters chosen is red or blue, but there is a fractional representation of this.

We could express n ( number of counters ) to form a probability of 2 / n. As you can see, two counters are taken at random over n counters, and thus we derived this fraction.

a ) [tex]2 / n[/tex]

____

Now we have this second part -

[tex]2 / n = 2 / 16,\\16 - 1 = 15[/tex]

Therefore, there are 15 red counters. Hope that helps!

Answer: 32 parts red

Step-by-step explanation:

3 parts white : 8 parts red

12 parts white : ?

12/3 x 8 = 32 parts red

Answer:

32 parts

Step-by-step explanation:

We can use ratios to solve

3 white           12 white

---------------- = -----------------

8 red              x red

Using cross products

3x = 8*12

3x = 96

Divide each side by 3

3x/3 =96/3

x= 32

Answer:

Bottle A started with 88 and bottle B started with 40

Step-by-step explanation:

To find out what they started with I got the ounces they finished with an the equation they did to get there.

Ended in 64 oz.

To get there:

A => B

B => A

A => B

Every time a pour is made the bottle to the right is doubled so I got 64 and divided it by 2 to see what B had before the pour of bottle A.

B had 32 oz. and A had 96 oz. before the last pour. I got 96 oz. because for them to end up with 64 oz. A has to have 32 oz. + 64 oz. since you are pouring 32 oz. into bottle B.

Now you have this equation:

A => B

B => A

96 oz. => 32 oz.

64 oz.

I then do the same thing I did to find 96 and 32. Since B is giving to A now it has to have more then A but it has to end up with 34 oz. for this is got 96 oz. and I divided it by 2 which got me 48. So on the second pour A started with 48 and B had to have given A 48 plus have 32 so it could end up with 34 therefore making it have 80 oz.

Now you have this equation:

A => B

80 oz. => 48 oz.

96 oz. => 32 oz.

64 oz.

For the last part to get the first ounces to answer the question you will do the same steps. Get half of 80 to see what B had before the 2nd pour which will be 40 and then you have to get 48 + 40 sine bottle A has to have the same amount of soda as B plus 48 oz. that it ends up with. This will have bottle A as 88 oz.

The Answer:

88 oz. => 40 oz.

80 oz. => 48 oz.

96 oz. => 32 oz.

Both will end up with 64 oz.

Answer: $27.825

Step-by-step explanation:

From the question, we are informed that Robert want to buy a sports cap that is on sale for 25% off and the original price is 35$. This means the price of the sports car will be:

= Original price - Discount

= $35 - (25% × $35)

= $35 - (0.25 × $35)

= $35 - $8.75

= $26.25

We are further told that there is a sales tax of 6%. The amount that Robert will need to pay for the cap will be:

= $26.25 + (6% × $26.25)

= $26.25 + (0.06 × $26.25)

= $26.25 + $1.575

= $27.825

Answer:

27.83

Step-by-step explanation:

Answer:

169=169

Step-by-step explanation:

The pythagoras theorem states that if

[tex] {a}^{2} + {b}^{2} = {c }^{2} [/tex]

Then the triangle is a right triangle

So

[tex]{5}^{2} + {12}^{2} = {13}^{2} [/tex]

[tex]25 + 144 = 169[/tex]

[tex]169 = 169[/tex]

Therefore A is a right triangle

Answer:

Step-by-step explanation:

now the longest edge is 13 cm so : 13²must be equal to 5²+12²

so this triangle must be right angled

Answer:

The first choice: The expression h(-7) represents the output of h corresponding to the input of -7.

Step-by-step explanation:

In function f(5), f(5) means the value of the function at x = 5.

Answer:

The first choice: The expression h(-7) represents the output of h corresponding to the input of -7.

Answer:

The expression h(-7) represents the output of h corresponding to the input of -7.

Step-by-step explanation:

...

Answer:

(6,2)

Step-by-step explanation:

y=-1/2x+5

y=2x-10​

-1/2 x+5 =2x-10  to find the solution y=y ( point of intersection of two lines)

-1/2 x-2x = -10-5 solve for x

-5/2 x=-15

x=-30/-5=6

y=2x- 10 substitute  x in the equation to get y

y=2(6)-10

y=2

(2,3)

Dont put the other answer, it’s wrong I

did the math.

Answer:

2x⁴ - 20x² - 78

To factor the expression look for the LCM of the numbers

LCM of the numbers is 2

Factorize that one out

That's

2( x⁴ - 10x² - 39)

Hope this helps

Answer:

2(x² + 3)(x² - 13)

Step-by-step explanation:

2x⁴ - 20x² - 78

Factor out 2.

2(x⁴ - 10x² - 39)

Find 2 numbers that multiply to get -39 and add to get -10. Those numbers are -13 and 3.

2(x⁴ - 13x² + 3x² - 39)

2(x² + 3)(x² - 13)

Answer:

58 inches

Step-by-step explanation:

This is a right angled triangle. We would use Trigonometric function of Sine to solve the question

θ = 60°

From the above question, the following values were obtained:

Hypotenuse = 67 inches long

The height in the upper edge above the ground = Opposite side

Sin θ = Opposite/ Hypotenuse

Sin 60° = Opposite/67 inches

Cross Multiply = Sin 60° × 67 inches

= 58.023702054 inches

≈ 58 inches

Therefore, the height in inches of the upper edge is 58 inches

Answer:

[tex] \frac{105}{4} [/tex]

please see the attached picture for full solution..

hope it helps...

Good luck on your assignment..

Answer:

f(-1) = (1/4)^x = 4

Step-by-step explanation:

When solving a f(x) equation, the x represents the number that will be used to replace x in the equation. So, from the equation, the value of x is -1. You would plug in -1 for x.

f(-1) = (1/4)^-1

Solve the exponent.

f(-1) = 4

So, the value of f(-1) is 4.

Answer:

C. x>4

Step-by-step explanation:

3/(x-4) > 0

3>0, so

x-4 >0

x > 4

Answer:

i cant read spanish. sorry

Step-by-step explanation:

Answer:

(3.26795, 6.73205)

(6.73205, 3.26795)

Step-by-step explanation:

Easiest and fastest way to get your solutions is to graph the systems of equations and analyze the graph for where they intersect.

Answer:

B

Step-by-step explanation:

dashed line above the shaded area, shaded area below dashed boundary line

Answer:

40 pages / hour

Step-by-step explanation:

Take the number of pages and divide by the number of hours

80 pages/ 2 hours

40 pages / hour

Answer:

x=7

Step-by-step explanation:

-3(x-1)+8(x-3)=6x+7-5x

-3x+3+8x-24=6x+7-5x

5x-21=x+7

4x=28

x=7

Answer:

x=7

Step-by-step explanation:

-3(x-1) + 8(x-3) = 6x + 7 - 5x

Distribute

-3x +3 +8x -24 = 6x +7 -5x

Combine like terms

5x -21 = x+7

Subtract x from each side

5x-x-21 = 7

4x -21 =7

Add 21 to each side

4x-21+21 = 7+21

4x = 28

4x/4 = 28/4

x=7

Answer:

y = -31x^6 - 87^3 +46x +12

Step-by-step explanation:

Place the numbers with the highest degree first (-31 x ^ 6) and go in order until you reach the number with the lowest degree (12). When you do that, you get:

y = - 31x^6 - 87x^3 + 23x^2 - 23x^2 + 46x +12

As you can see, the numbers based on the amount of their exponent were placed in order, no matter what the coefficient is. But, there are two numbers with ^2, so we have to cancel them out. In order to do that, you have to add/ subtract the two numbers with the same exponent.

23x^2 - 23x^2 = 0

Since the answer is 0, we canceled both of the numbers out, so the final polynomial in its standard form is:

y = -31x^6 - 87^3 +46x +12

Hope this helps :)

Answer:

y = -31x^6-87^3+46x+12

Step-by-step explanation:

put the exponents in order and cancel out the 23x^2s.

Answer:

D. 35

Step-by-step explanation:

.8(40+1x)=60

32+.8x=60

.8x=28

x=28/.8

X=35

Answer:

D.35

Step-by-step explanation:

Answer:

The answer is -8

Step-by-step explanation:

(3)(-4)=-12 (-2)(-2)=4

Answer:

To simplify the ratio make sure that the units are the same

5m:240cm

Change the meters into centimeters

That's

1m = 100cm

5m = 500cm

So we have

500cm:240cm

500/240

= 25/12

= 25:12

Hope this helps

Answer:

25:12

Step-by-step explanation:

First you have to convert both amounts into the same unit. So;

5m × 100 = 500 cm

We're multiplying by 100 because a metre is 100 times bigger than 1 cm.

This changes the ratio from 5:240 to 500:240, which makes it easier to get to your end result.

Now, find the Highest Common Factor of both 500 and 240 - much like you do when simplifying fractions.

Factors of 240 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120 and 240.

Factors of 500 = 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250 and 500.

We then divide both numbers by the HCF, which we've just figured out is 20;

240 ÷ 20 = 12

500 ÷ 20 = 25

Answer:

15

Step-by-step explanation:

[tex]y = 4x + 15 \\ equating \: it \: with \\ y = mx + b \\ we \: find \\ b = 15 \\ \implies \: y - intercept = 15[/tex]

Answer:

Y intercept = 15

Step-by-step explanation:

Formula we use,

→ y = mx + b

→ b = y intercept

Then the y intercept will be,

→ y = mx + b

→ y = 4x + 15

→ [ b = 15 ]

Thus, required answer is 15.

Answer:

Direction of the boat is 43.05° and the speed is 21.66 knot

Step-by-step explanation:

yacht speed = 20 knots

yacht bearing = 185° = 85°  below the negative horizontal x-axis

wind speed = 15 knots

wind bearing = 290° = 20° above the negative horizontal x-axis

we find the x and y components of the boat velocities

for yacht,

x component = -20 cos 85° = -1.74 knots

y component = -20 sin 85° = -19.92 knots

for the wind,

x component = -15 cos 20° = -14.09 knots

y component = 15 sin 20° = 5.13 knots

total x component  Vx = -1.74 + (-14.09) = -15.83 knots

total y component Vy =  -19.92 + 5.13 = -14.79 knots

Resultant speed of the boat = [tex]\sqrt{Vx^{2} + Vy^{2} }[/tex]

==> [tex]\sqrt{15.83^{2} + 14.79^{2} }[/tex] = 21.66 knot

direction of boat = [tex]tan^{-1} \frac{Vy}{Vx}[/tex]

==> [tex]tan^{-1} \frac{14.79}{15.83}[/tex] = 43.05°

Answer: Step 4

Step-by-step explanation:

1. Define variable x as student signatures still needed  (Correct)

[tex]2)\ \dfrac{x+82}{426}[/tex]              (Correct)

3. 25% = 0.25      (Correct)

[tex]4)\ \dfrac{x+82}{426}\leq 0.25[/tex]      (Error)!

The inequality symbol should be GREATER THAN or equal to (≥) because Jose needs 25% or more (not less).

Answer:

In Step 4, the inequality should be StartFraction x + 82 over 426 EndFraction greater-than-or-equal-to 0.25.

                                         ¯\_     _/¯

      ( ﾉ ﾟｰﾟ)ﾉ                                                                                     ＼(ﾟｰﾟ＼)

Answer:

8 inches.

Step-by-step explanation:

From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.

Ab = s ^ 2 = 100

Therefore each side would be:

s = (100) ^ (1/2)

s = 10

So, side of the square base = 10 inches

Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:

Ap = 520/2 = 260

For an area of the square pyramid we have the following equation:

Ap = 2 * x * s + s ^ 2

Where x is the height of each triangular surface and s is the side of the square base

Replacing we have:

260 = 2 * x * 10 + 10 ^ 2

20 * x + 100 = 260

20 * x = 160

x = 160/20

x = 8

Therefore, the value of x is 8 inches.