Two wizards make boxes with secret compartments to sell at the magic convention. Fred plans to make 160 boxes by the start of the convention. Georgiana plans to make 25% fewer in the same amount of time. Fred makes 10 more boxes each day than Georgiana, and finishes his job 2 days before the convention. How many boxes does Georgiana make each day if she needs two extra days after the convention starts to complete her job?

Answer:

{ -4 , 2 , 4 } and { 5 , 0 , -4 }

Step-by-step explanation:

Given the solution to an inequality expression as x > -5. The values of x are the values that are greater than -5.

The values greater than -5 are the values that falls towards the positive sides of the number line but greater than -5. The numbers are -4, -3, -2, -1, 0 ,1 ,2, 3, 4, 5, 6....

From the given numbers, the correct set of numbers will be  { -4 , 2 , 4 } and { 5 , 0 , -4 } since the values are within the range of listed values

Answer:

x=7/3 or x=2.33

Step-by-step explanation:

9x^2 - 52x + 33 = -10x - 16

Okay, lets Start by converting this into standard form, which is: ax^2 + bx + c = 0.

Add 10x+16 on both sides of the equation, and simplifying.

9x^2 - 52x + 33 + 10x + 16  = -10x - 16 + 10x + 16

9x^2 - 42x + 49 = 0

Guess What! This equation is a Perfect Square Trinomial.

For a Perfect Square Trinomial, you will be able to take the square root of the first  and third terms, and the coefficient of the second term will be twice the square root of the  third term. The “sign” of your second term in your answer will be the same as the linear term sign.

So this is (3x*3x) + (3x * -7 * 2) + (7 * 7) = 0

So, we can rewrite this as (3x - 7)^2=0

Now, To solve, We can set each factor equal to 0, and solve.

*Since we have a Perfect Square Trinomial, You will get one solution, or value, for x.*

Add 7 on both sides.

3x - 7 = 0

     +7  +7

----------------

3x=7

Divide by 3 on both sides.

3x/3 = 7/3

x=7/3

As a decimal: 2.33...

Hope I helped, Brainliest would be appreciated :)

Have a fantastic day!

             -Aadi x

Answer:

2x ^7/4

Step-by-step explanation:

Sorry, no explanation.

The representation of the given expression 2[tex]\sqrt[4]{x^{7}}[/tex] will be 2[tex]x^{7/4}[/tex].

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

As per the given expression,

2[tex]\sqrt[4]{x^{7}}[/tex]

Open the radical sign of the above,

2[tex]\sqrt[4]{x^{7}}[/tex] = 2[tex]x^{7/4}[/tex]

Since 7 and 4 are both integers thus they will be rational exponents.

Hence "The representation of the given expression 2[tex]\sqrt[4]{x^{7}}[/tex] will be 2[tex]x^{7/4}[/tex]".

For more about the number system,

https://brainly.com/question/22046046

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Answer: [tex]70,547.84\ \text{Pounds}[/tex]

Step-by-step explanation:

Given

The weight of a Pachyrhinosaurus is 4 tons

We know,  [tex]1\ \text{ton}=2204.62\ \text{Pounds(lbs)}[/tex]

[tex]\therefore \text{weight of 8 pachyrhinosaurus is} \\\\\Rightarrow 8\times4=32\ tons\\\\\Rightarrow 32\ tons\approx 70,547.84\ \text{pounds}[/tex]

Answer:

1.(that looks like letter L) Yes for congruent and no for similar 2.(circles) Yes congruent and no for similar 3. (triangles) yes similar and no for congruent 4. ( square & rectangle) yes it is similar no for congruent

Step-by-step explanation:

congruent is are the same size and shape, similar have different sizes.

Answer:

Mutually Exclusive

Dependent

Step-by-step explanation:

Given that both events cannot occur at the same time, that is "both dice cannot be odd (event A) if at least one of the dice is even (event B).

Hence, this is MUTUALLY EXCLUSIVE.

Also, given the fact that the occurrence of one event (event A) affects the probability of the other (event B).

Hence, this is DEPENDENT.

Answer:

81 feet

Step-by-step explanation:

3 feet = 1 yard

Answer:

81 feet wide

Step-by-step explanation:

1) The 10 yards wide is not necessary since we only need length.

2) There are 3 feet in a yard.

3) 27 yards multiplied by 3 feet equals = 81 feet.

4) 27 * 3 = 81 feet

Answer:

Step-by-step explanation:

12:14

14:21

mark me as brainliest

Answer:

Step-by-step explanation:

12:14 14:21 mark me as a brainlist

Answer:

[tex] \frac{14}{5} [/tex]

Step-by-step explanation:

1) Use this rule : a ÷ b/c = a × c/b.

[tex] \frac{7}{2} \times \frac{4}{5} [/tex]

2) Use this rule: a/b × c/d = ac/bd.

[tex] \frac{7 \times 4}{2 \times 5} [/tex]

3) Simplify 7 × 4 to 28.

[tex] \frac{28}{2 \times 5} [/tex]

4) Simplify 2 × 5 to 10.

[tex] \frac{28}{10} [/tex]

5) Simplify.

[tex] \frac{14}{5} [/tex]

Therefor, the answer is 14/5. And is decimal form it would be, 2.8.

Answer:

Step-by-step explanation:

E

Answer:

12 in

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h(b₁ + b₂ )

where h is the height and b₁, b₂ the parallel bases

Given h = 6, b₁ = 8 and A = 60 , then

[tex]\frac{1}{2}[/tex] × 6 × (8 + b₂ ) = 60 , that is

3(8 + b₂ ) = 60 ( divide both sides by 3 )

8 + b₂ = 20 ( subtract 8 from both sides )

b₂ = 12

The length of the second base is 12 inches

Answer:

The slope represents the number of cookies sold for each dollar.

Answer: it is C

Step-by-step explanation: each point is a number boxes sold and some profit

Answer: The correct answer is

B. Its shape is completely concave downward.

Answer:

the answer is x=10

Step-by-step explanation:

10*10=100

100-10=90

the red square means 90°

Answer:

140.6 feet

Step-by-step explanation:

In ΔMNO, the measure of ∠O=90°, the measure of ∠N=62°, and NO = 66 feet. Find the length of MN to the nearest tenth of a foot.

Step 1

We have to find Angle M

Sum of angles in a triangle = 180°

M + N + O = 180°

M = 180° - ( N + O)

M = 180° - ( 90° + 62°)

M = 28°

Step 2

We find the length of MN

We solve using Sine rule

MN/sin O = NO/sin M

MN/sin 90 = 66/sin 28

Cross Multiply

MN = sin 90 × 66/sin 28

MN = 140.58 feet

Approximately = 140.6 feet

Answer:

12

Step-by-step explanation:

2(b + c)

2(5 + 1)

2(6)

12

The answer is on the picture

Answer:

2,820 m

Step-by-step explanation:

Given that the rectangular piece of land measures 250m by 220 m, the perimeter of the rectangle gives the length of wire required to fence it once.

The perimeter p of a rectangle of length l and width b is given as

p = 2(l + b)

Hence p = 2( 250 + 220)

= 2 * 470

= 940 m

Since each side is to be fenced with 3 rows of wires, the length of wire required

= 3 * 940m

= 2,820 m

Given:

The limit problem is:

[tex]\lim_{x\to 3}(x^2+8x-2)[/tex]

To find:

The limit of the function by using direct substitution.

Solution:

We have,

[tex]\lim_{x\to 3}(x^2+8x-2)[/tex]

Applying limit, we get

[tex]\lim_{x\to 3}(x^2+8x-2)=(3)^2+8(3)-2[/tex]

[tex]\lim_{x\to 3}(x^2+8x-2)=9+24-2[/tex]

[tex]\lim_{x\to 3}(x^2+8x-2)=33-2[/tex]

[tex]\lim_{x\to 3}(x^2+8x-2)=31[/tex]

Therefore, the correct option is D.

Answer:

Step-by-step explanation:

f(x) = |x - 3| + 2

g(x) = |x + 1| - 5

Answer:

y = 2x - 5

Step-by-step explanation:

Put it in point-slope form:

y + 7 = 2(x + 1)

y + 7 = 2x + 2

y = 2x - 5

Answer:

(4,18)

Step-by-step explanation:

Answer:

(4,18)

Step-by-step explanation:

We can just pluck the x values into the equation: y = 5x -1 to see if the y values fit.

1. y = 5(4) - 1

    = 20 - 1

    = 19 (Nope, 18 is not 19)

2. y = 5(3) - 1

     = 15 - 1

     = 14 (Yep, same as option)

3. y = 5(0) - 1

     = 0-1

     = -1 (Yep, same as option)

4. y = 5(2) - 1

     = 10 - 1

     = 9 (Yep, same as option)

Answer:

45°

Step-by-step explanation:

the sum of angles in a triangle is equal 180°

we have been given that one angle equals yo 90° and the other equals to 45°

let "?" be the unknown angle

====> 180° = 90° + 45° +?

? = 180° - (90° + 45°)

? = 180° - 135°

? = 45°

Answer:

24 & 36

Step-by-step explanation:

Multiple is the product of numbers being multiplied.

12×2= 24

12×3= 36

Answer:

24 and 36.

Step-by-step explanation:

there are only two

Answer:

23 and - 16 are the coefficients

Step-by-step explanation:

Answer:

a. The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0

b. The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]

c. The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2

Step-by-step explanation:

The easiest way to find the slope and y-intercept is to put each equation in the slope-intercept form

That is:

y = mx = c

where m is the slope and c is the y-intercept

Part a:

6(x+y) = 3(x-y)

2(x+y) = x-y

2x + 2y = x - y

3y = -x

[tex]y = \frac{-1}{3}x[/tex]

Comparing this with the general formula, we can conclude that:

The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0

Part b:

2(x+y) = 5(y+1)

2x + 2y = 5y + 5

3y = 2x - 5

[tex]y = \frac{2}{3}x - \frac{5}{3}[/tex]

Comparing this with general formula, we can conclude that:

The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]

Part c:

5x + 10y -20 = 0

10y = -5x + 20

[tex]y = \frac{-1}{2} x+2[/tex]

Comparing this with the general formula, we can conclude that:

The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2

Hope this helps :)

Answer:

70

Step-by-step explanation:

6x5=30

8x5=40

40+30=70