Henrietta decides to learn 768 new magic spells before her final exam. She plans to learn the same number each day. In the first five days. she learns exatly the number of spells she planned to learn. In the remaining days before her exam, Henrietta learns 6 more magic spells each day than planned. When she still had 1 day left before the exam, Henrietta calculated that she learned 844 new magic spells. How many spells did Herietta plan to learn each day.

Answer:

the answer is 4.5 in term of the measurement because Figure A has a larger scale and B has a smaller scale

Answer:

0.25

Step-by-step explanation:

Divide one side of Figure B by the congruent side of Figure A and you would get the scale factor.

If you multipy every side of figure A by 0.25 you would get the sides of figure B.

Hope this is helpful:)

Answer:

y=3x+2

Step-by-step explanation:

Answer:

4 ) reflexive property of congrunce

5 ) Definition of Equilateral Triangle

Step-by-step explanation:

4) the lines are equal to each other

5) if one triangle is equal to another triangle than they must be the same triangle

Answer:

.466666666 or 46.66666% (the 6s go on forever)

Step-by-step explanation:

1/3 + 1/5 = 53.33333%

1 - .53 = 46.66666% is how much she watched last night

Answer:

1/52 OR 0.01923076923 (unusual)

Step-by-step explanation:

So, since it is only asking for 1 card and there is 52 cards in a deck, you have a in 52 chance to pick that card.

Hope that helps!

Answer:

Step-by-step explanation:

Solve the compound inequality. 6 – x > 15 or 2x – 9 ≥ 3 A. x > 9 or x ≤ 6 B. x < 9 or x ≥ –6 C. x > –9 or x ≤ –6 D. x < –9 or x ≥ 6

Given:

Consider the function is:

[tex]h(t)=-16t^2+100t+5[/tex]

This function is used to calculate how far the potato will be from the ground at any given second (t).

To find:

The value of h(0) and its meaning in the context of the problem.

Solution:

We have,

[tex]h(t)=-16t^2+100t+5[/tex]

At t=0,

[tex]h(0)=-16(0)^2+100(0)+5[/tex]

[tex]h(0)=0+0+5[/tex]

[tex]h(0)=5[/tex]

Therefore, the value of h(0) is 5. It means the potato is 5 feet from the ground at the time of shooting.

Answer:

f(x) represents the red line

g(x) represents the green line

if the variable x = 1

3 = -1(1×(-3))

3 = -1×(-3)

3 = 3

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 27528 ft^3

Explanation:

24 x 31 x 37 = 27528

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

1017.6

Step-by-step explanation:

i think, if it is asking for the original sales price

Answer:

Sale price of phone:  $640

Sale price including tax:  $678.40

Step-by-step explanation:

If the discount is 20%, the price actually paid is (100% - 20%), or 80% of full price.

Multiplying $800 by 0.80 results in the sale price:  $640.

The 6% sales tax is 0.06($640), or $38.40.

Paying $38.40 sales tax on the $640 purchase results in a total paid of $678.40.

Answer:

B

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{3}{c}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

c = 3[tex]\sqrt{2}[/tex]

Equations:

[tex]x+6=5+x[/tex]

[tex]-2(x-3)=-2x+6[/tex]

[tex]4-4x=3x+2[/tex]

[tex]4(x+1)=3(x+2)[/tex]

[tex]5-3x=-3x+4[/tex]

Answer:

[tex]x+6=5+x[/tex]

[tex]5-3x=-3x+4[/tex]

Step-by-step explanation:

Given

[tex]x+6=5+x[/tex]

[tex]-2(x-3)=-2x+6[/tex]

[tex]4-4x=3x+2[/tex]

[tex]4(x+1)=3(x+2)[/tex]

[tex]5-3x=-3x+4[/tex]

Required:

Which have no solution

[tex]x+6=5+x[/tex]

Subtract x from both sides

[tex]x -x+6 = 5 + x - x[/tex]

[tex]6 = 5[/tex]

[tex]x+6=5+x[/tex] has no solution because [tex]6 \ne 5[/tex]

[tex]-2(x-3)=-2x+6[/tex]

Open bracket

[tex]-2x + 6 = -2x + 6[/tex]

Both sides are equal.

Hence, there is an [tex]Infinite\ Number[/tex] of Solutions

[tex]4-4x=3x+2[/tex]

Collect like terms

[tex]-3x - 4x = 2 - 4[/tex]

[tex]-7x = -2[/tex]

Solve for x

[tex]x = \frac{-2}{-7}[/tex]

[tex]x = \frac{2}{7}[/tex] --- This has a solution

[tex]4(x+1)=3(x+2)[/tex]

Open brackets

[tex]4x + 4 = 3x + 6[/tex]

Collect like terms

[tex]4x-3x = 6 - 4[/tex]

[tex]x = 2[/tex] --- This has a solution

[tex]5-3x=-3x+4[/tex]

Add 3x to both sides

[tex]5 - 3x + 3x = -3x + 3x + 4[/tex]

[tex]5 = 4[/tex]

[tex]5-3x=-3x+4[/tex] has no solution because [tex]5 \ne 4[/tex]

Answer:

m = -1, b = 5.

Step-by-step explanation:

We can find the slope, m, by plugging in our coordinates into the slope formula: [tex]\frac{y2-y1}{x2-x1} =\frac{2-7}{3-(-2)}=\frac{-5}{5}=-\frac{5}{5}=-\frac{1}{1}=-1[/tex]. That gives us the slope. Now we can fill that in the slope intercept formula: [tex]y=-1x+b[/tex]. We know one of the coordinates and the slope, which allows to find the y-intercept. We know that for every 1 unit down on the line, we move 1 unit right, and vice versa. Meaning we can just count down (or up in this case), so, (-2, 7), (-1, 6), (0, 5). Therefore, our y intercept is 5.

Answer is in the file below

tinyurl.com/wpazsebu

Answer:

choice 4) all of the angles are supplementary to each other since any two added together = 180°

Step-by-step explanation:

Explanation is in the file

tinyurl.com/wpazsebu

The no of three-pointer questions is 35 and the no of six-pointer questions is 15.

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given:

The total no of questions = 50,

The total marks in the test = 195.

According to the question, the equation will be,

3x + 6y = 195 and x + y = 50

Here, x is the no of three mark question and y is the no of six marks question.

Solve the equation by elimination method, and we get,

x = 35 and y = 15

Therefore, the no of three-pointer questions is 35 and the no of six-pointer questions is 15.

To know more about equation:

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Answer:

y = 31

Step-by-step explanation:

Given

y = [tex]x^{5}[/tex] + 32 ← substitute x = - 2

y = [tex](-2)^{5}[/tex] + 63 = - 32 + 63 = 31

Answer:

x=5 and y=16

Step-by-step explanation:

x = number of pants

y = number of shirts

Set up equations:

Set the equations up as a system:

25x+14.5y=357

x+y=21

Steps:

Solve the system by substitution.

(You can also solve this system by elimination.)

25x + 14.5y=  357

x + y = 21

Step 1: Solve x+y=21 for x:

(x + y) − y = (21) − y(Subtract y from both sides)

x = −y + 21

Step 2: Substitute −y + 21 for x in 25x + 14.5y = 357:

25x + 14.5y = 357

25(−y + 21) + 14.5y = 357

−10.5y + 525 = 357 (Simplify both sides of the equation)

(−10.5y + 525) − 525 = (357) − 525(Subtract 525 to both sides)

−10.5y =  −168

−10.5y / −10.5 = −168 / −10.5 (Divide both sides by -10.5)

y = 16

Step 3: Substitute 16 for y in x = −y + 21:

x = −y + 21

x = −16 + 21

x = 5 (Simplify both sides of the equation)

Answer:

x=5 and y=16

Answer:

F

Step-by-step explanation:

The area is equal to length times width.

Use the foil method to multiply (2x-5)(3x+3).

Answer:

Yes of course I love this too

Step-by-step explanation:

Answer:

hahahahah lol..........btw thnks❤️

Answer:

4/7 (first one)

Step-by-step explanation:

6-(2)/(2)+5=4/7

hope this helps

Answer:

6-2/2+5=4/7

The answer is 4/7 (option A)

B) 3,026 feet

Cause 5,942 - 2,916 = 3,026 feet

Answer:

+/-11

Step-by-step explanation:

It's plus or minus eleven

Answer:

B

Step-by-step explanation:

C = πd = 3.14 * 32 = 100.48in

Answer: 452.16 square feet

Step-by-step explanation:

The formula that is used to calculate the area of a circle is given as:

= πr²

where π = 3.14

r = Diameter/2 = 24/2 = 12

Area = πr²

= 3.14 × 12²

= 3.14 × 144

= 452.16 feet²

Therefore, the answer is 452.16 square feet.

Answer:

[tex](a)[/tex] [tex]V = -H^3+ 5H^2 + 36H[/tex]

[tex](b)[/tex] [tex]Length = 5in; Width = 9in; Height = 5in[/tex] or [tex]Length = 3in; Width = 10in; Height = 6in[/tex]

Step-by-step explanation:

Let:

[tex]W=Width; L = Length; H = Height[/tex]

Given

[tex]W = 4 + H[/tex]

[tex]L = 9 - H[/tex]

Solving (a): The polynomial for the volume in terms of height

Volume (V) is calculated using:

[tex]V = L * W * H[/tex]

[tex]V = (9 - H) * (4 + H) * H[/tex]

Expand

[tex]V = (9 - H) * (4H + H^2)[/tex]

Open brackets

[tex]V = 36H + 9H^2 - 4H^2 - H^3[/tex]

[tex]V = 36H + 5H^2 - H^3[/tex]

Rewrite as:

[tex]V = -H^3+ 5H^2 + 36H[/tex]

Solving (b): The dimensions when Volume = 180

Substitute 180 for V in: [tex]V = -H^3+ 5H^2 + 36H[/tex]

[tex]180 = -H^3+ 5H^2 + 36H[/tex]

Rewrite as:

[tex]H^3 - 5H^2 - 36H + 180 = 0[/tex]

Factorize:

[tex]H^2(H - 5) - 36(H - 5) = 0[/tex]

[tex](H^2 - 36)(H - 5) = 0[/tex]

Express [tex]H^2 - 36[/tex] as difference of two squares

[tex](H - 6)(H + 6)(H - 5) =0[/tex]

This gives:

[tex]H - 6 =0==> H = 6[/tex]

[tex]H + 6 =0==> H = -6[/tex]

[tex]H - 5 =0==> H = 5[/tex]

Since the height can not be negative, then H = 5 or H = 6

Recall that:

[tex]W = 4 + H[/tex]

[tex]L = 9 - H[/tex]

When H = 5

[tex]W = 4 + 5 = 9[/tex]

[tex]L = 9 - 5 = 4[/tex]

When H = 6

[tex]W = 4 + 6 = 10[/tex]

[tex]L = 9 - 6 = 3[/tex]

Hence, the dimensions of the box are:

[tex]Length = 5in; Width = 9in; Height = 5in[/tex]

or

[tex]Length = 3in; Width = 10in; Height = 6in[/tex]

The volume of the box is given by -h³ + 5h² + 36h

Volume is the amount of space occupied by a three dimensional object. The volume (V) of a box is given by:

V = length * width * height

Let h represent the the height, hence width = h + 4, length = (9 - h)

V = h(h + 4)(9 - h) = h(5h -h² + 36) = -h³ + 5h² + 36h

For a volume of 180 in³:

180 = -h³ + 5h² + 36h

h = 5 or 6.

The volume of the box is given by -h³ + 5h² + 36h

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