Kari and Samantha have determined that their water-balloon launcher works best when they launch the balloon at an angle within 3 degrees of 45 degrees. Which equation can be used to determine the minimum and maximum optimal angles of launch, and what is the minimum angle that is still optimal?

|x – 3| = 45; minimum angle: 42 degrees
|x – 3| = 45; minimum angle: 45 degrees
|x – 45| = 3; minimum angle: 42 degrees
|x – 45| = 3; minimum angle: 45 degrees

Answer:

1st - $92

2nd - $72

3ed - $36

Step-by-step explanation:

save 20 dollars for first place, because they are going to get that no matter what.

200 - 20 = 180

we'll need to divide 180 into 5 parts, one for 3ed place, two each for 1st and second.

180 / 5 = 36

3ed place gets $36

2nd gets twice that, $72

1st gets the same as 2nd +$20, so $92

to check our answer, add up all their profit and make sure it's 200 even.

Answer:

ok whats the question?

Step-by-step explanation:

i only see the explanation

Answer:

1488 (✿◕‿◕✿)

Step-by-step explanation:

Answer:

1488

step-by-step explanation:

124

12 when multiplied equal 1488

Answer:

After simplifying, the first step in solving an equation with a variable on both sides is to Get The Variable On One Side. This is done by reversing the addition or subtraction of one of the terms with the variable. In other words, we must add to both sides or subtract from both sides one of the quantities that contains the variable. It is generally easier to add or to subtract the smaller quantity from the larger quantity, so we are working with positive coefficients, but either way works

Answer:

22 Hours

Step-by-step explanation:

26400/20 = 1320m

1320m = 22h

22 Hours

Answer:

length-x

width-x-4

area-- length* width

192=X*(X-4)

x^2-4x-192=0

x^2-16x+12x-192=0

X(x-16)+12(x-16)=0

(x-16),(X+12)

X= 16 because X cannot be negative like (-12)

the dimensions of the classroom will be

length = 16

width = 12

I hope this will help everyone

Answer:

$15,000 was invested in CDs.

$40,000 was invested in bonds.

$75,000 was invested in stocks.

Step-by-step explanation:

Let C be the amount invested for CDs, B be the amount invested for bonds, and S be the amount invested for stocks.

We know that the total amount invested must be $130,000 because that was the amount given to the Scholarship Fund. So:

[tex]C+B+S=130000[/tex]

We know that CDs pay 2% or 0.02 interest; Bonds pay 2.9% or 0.029 interest; and Stocks pay 9.9% or 0.099 interest. In total, the investment earned $8,885. So:

[tex]0.02C+0.029B+0.099S=8885[/tex]

Let's remove the decimals by multiplying everything by 1000. This yields:

[tex]20C+29B+99S=8885000[/tex]

Now, we know that $25000 more was invested in bonds than CDs. So:

[tex]B=25000+C[/tex]

We have a triple system of equations. We can solve this using substitution. Let's substitute our third equation into the second equation. This yields:

[tex]20C+29(25000+C)+99S=8885000[/tex]

We want to isolate the C variable. Here, we removed the B but we still have an S.

So, to remove the S, we can go back to our first equation. We have:

[tex]C+B+S=13000[/tex]

Subtract C and B from both sides:

[tex]S=130000-C-B[/tex]

We can now substitute this for S:

[tex]20C+29(25000+C)+99(130000-C-B)=8885000[/tex]

We got a B again. But, we already know what B is. Substitute:

[tex]20C+29(25000+C)+99(130000-C-((25000)+C))=8885000[/tex]

So, our equation is now in terms of C. Solve for C. Distribute on the far right:

[tex]20C+29(25000+C)+99(130000-C-25000-C)=8885000[/tex]

Combine like terms:

[tex]20C+29(25000+C)+99(105000-2C)=8885000[/tex]

Distributive Property:

[tex]20C+725000+29C+10395000-198C=8885000[/tex]

Combine like terms:

[tex](20C+29C-198C)+(725000+10395000)=8885000[/tex]

Add:

[tex]-149C+11120000=8885000[/tex]

Subtract 1112000 from both sides:

[tex]-149C=-2235000[/tex]

Divide both sides by -149:

[tex]C=15000[/tex]

So, a total of $15,000 was invested in CDs.

Since $25,000 more was invested in bonds than in CDs, this means that a total of $25000+$15000 or $40,000 was invested in bonds.

To find out how much was invested in stocks, we can use our first equation again:

[tex]C+B+S=130000[/tex]

Substitute 15000 for C and 40000 for B:

[tex]15000+40000+S=130000[/tex]

Add:

[tex]55000+S=130000[/tex]

Subtract 55000 from both sides:

[tex]S=\$75000[/tex]

So, $15,000 was invested in CDs, $40,000 was invested in bonds, and $75,000 was invested in stocks.

And we're done!

Answer:

$15,000 was invested in CDs.

$40,000 was invested in bonds.

$75,000 was invested in stocks.

Step-by-step explanation:

Answer:

12.5, 6.25

Step-by-step explanation:

The answer halfs every time

Answer:

Step-by-step explanation:

After 400 ,800,1600

Before 25,12.5,6.25

Step-by-step explanation:

8(x + 9)

8x + 72 = 0

8x = -72

x = -72/8

x = -9

Answer:

Given : 8(x + 9)

Solution :

[tex]8(x + 9) = 0\\ [/tex]

Multiply 8 to both x and 9

[tex]8x + 72 = 0 \\ [/tex]

Now, Move 72 to RHS from LHS

[tex]8x = - 72 \\ [/tex]

[tex]x = \dfrac{ - 72}{8} \\ [/tex]

And the final ans we get is :

[tex]\boxed{x = - 9}[/tex]

c.) 1/2³ i got it right on assignment

Answer:

Diego would need to sell 80 tickets.

Step-by-step explanation:

Divide 140 by 1.75 to get your answer. To double-check multiply 1.75 by 80, and you should get 140.

Answer:

Diego would sell 80 tickets.

Step-by-step explanation:

Answer:

x - ($32 + $15); or x - $32 + $15

Step-by-step explanation:

Spending on the purse and a CD means less cash then the starting amount, x.

Answer:

$32+ $15=$47

Step-by-step explanation:

Answer:

A is the correct answer

Step-by-step explanation:

Hoped this helped :)

Answer: im positive its A me and my class did this at school

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

A and C

Thank you

The  logos have more than one line of symmetry are Option(c) and Option (1)

A line of symmetry is a line that cuts a shape exactly in half. This means that if you were to fold the shape along the line, both halves would match exactly. Equally, if you were to place a mirror along the line, the shape would remain unchanged. A square has 4 lines of symmetry, as shown below.

According to the question

Logos have more than one line of symmetry

are option A and Option C

As in Option A if we cuts the shape exactly in half along lines marked in circle

There half will be same

so , there are 3 lines of symmetry in option A.

Now, In option 4

if we cuts the shape exactly in half along the middle of  horizonal and vertical side of square figure

There half will be same

So , there are 2 lines of symmetry in option C.

Hence, The  logos have more than one line of symmetry are Option(c) and Option (1) .

To know more about line of symmetry here:

https://brainly.com/question/1597409

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Answer:

0.05

Step-by-step explanation:

we are given the formula

I = Prt, where

I = interest earned = $450

P = Principal amount = $3000

t = time = 3 years

r = rate (we are asked to find this_

Simply substitute the known values into the equation

I = Prt

450 = 3000 x r x 3

450 = 9000r

r = 450/9000

r = 0.05

Answer:

0.05

Step-by-step explanation:

Answer:

x = -11

Step-by-step explanation:

5 + (x - 2) = -8

Subtract 5 from both sides.

x - 2 = -13

Add 2 to both sides.

x = -11

Answer:

number 1 or A i got it

Step-by-step explanation:

Answer: The answer you are looking for is A on edge

Step-by-step explanation: Pls Mark me Brainilist! I know that this is for sure Right!

Answer: m = -3

............................

The partial products of 73 x 8 is = 584

The partial products algorithm allows students to multiply two long numbers fast and easily by breaking down a more challenging product into a series of simpler problems.

(70 +3 ) * (8)

= 70 x 8  = 560 and ;

= 3 x 8 =  24

Step 2 - Add all the products together

560 + 24 = 584

Learn more about partial product at:
https://brainly.com/question/24716925
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Answer:

-36

bc my brain say write dis

Answer:

ZDM is not a name for the angle, 6 square units is the area, A the cylindar, 26 degrees

Step-by-step explanation:

Area of triangle is 1/2 base x height

116-90 = 26 degrees to angle ABC

are you in statistics because I took it and I'm good at it. pet me see if I can figure it out. give me a minute

Answer:

SPLEASE HELP WORTH 40 POINTS! ANSWER QUICK PLEASEEE

(a) Does each triangle have the same change in x-values? Explain.

(b) Does each triangle have the same change in y-values? Explain.

(c) Does each triangle have the same ratio of change in y-values over change in x-values? Explain

tep-by-step explanation:

Answer:

2:3

12:18

18:27

Step-by-step explanation:

Answer:

In order to get equivalent ratios, we can just multiply by a factor! Lets use the factors of 2, 3, 4.

So we have:

[tex]2 * \frac{6}{9}=\frac{2*6}{2*9}=\frac{12}{18}[/tex]

As well as:

[tex]3 * \frac{6}{9}=\frac{3*6}{3*9}=\frac{18}{27}[/tex]

And finally:

[tex]4 * \frac{6}{9}=\frac{4*6}{4*9}=\frac{24}{36}[/tex]

Answer:

It is a proper fraction

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

8(x+2) = 40

8x + 16 = 40

8x = 24

x = 3

kite..................