Luanne is filling bag with bouncy balls and candy. A package of candy has 88 pieces, and the bouncy balls are in a package of 56. She wants an equal amount of each item in a bag. What is the greatest number of each item that will go in each bag?
Answer choices:
2
4
8
11

Answer:

solving the equation [tex]5x^2 - 16 = 29[/tex] we get the solution: [tex]\mathbf{x=3,x=-3}[/tex]

Step-by-step explanation:

We need to solve the equation [tex]5x^2 - 16 = 29[/tex]

We need to solve the equation to find the value of x.

We can solve this equation using simple DMAS rule.

We are given:

[tex]5x^2 - 16 = 29[/tex]

Add 16 on both sides

[tex]5x^2 - 16+16 = 29+16\\5x^2=45[/tex]

Now, divide both sides by 5

[tex]\frac{5x^2}{5}=\frac{45}{5} \\x^2=9[/tex]

Now, we know that [tex]\sqrt{x^2}=\pm x[/tex]

Taking square root on both sides.

[tex]\sqrt{x^2}=\sqrt{9}\\x=\pm3[/tex]

So, we get values of x:

[tex]x=3, x=-3[/tex]

Therefore, solving the equation [tex]5x^2 - 16 = 29[/tex] we get the solution: [tex]\mathbf{x=3,x=-3}[/tex]

Given :

A 13ft ladder is leaning against a wall when its base starts ti slide away from the wall.

By the time its base is 12 feet from the wall, the base is moving at the rate of 5ft/sec.

To Find :

How fast is the top of the ladder sliding down the wall.

Solution :

By, Pythagoras theorem, distance of ladder from horizontal to wall is 5 feet.

Now, [tex]x^2 + y^2 = 13^2[/tex]

Differentiating both sides, we get :

[tex]2x\dfrac{dx}{dt}+2y\dfrac{dy}{dt}=0\\\\(2\times 12\times 5) + (2\times 5 \times \dfrac{dy}{dt})=0\\\\\dfrac{dy}{dt}= -12 \ feet/sec[/tex]

Answer:

u just have to divide

put the numbers in a calculator and the answer is 6.70238095238

Step-by-step explanation:

hope this helps

Answer:

you can't divide it

if u do then its

6.70238095238095238095.............................

6 r 59

Step-by-step explanation:

ok ok um so

multiples of 84:

84

168

252

336

420

504

588

we take 504

563-504 = 59

504/84 = 6

so 6 r 59

Answer:

320.25 centimeters

Step-by-step explanation:

you multiply 10.5 * 30.5

Answer:

Step-by-step explanation:

Remark

The point about the question is that the two sides are marked as equal.

Equation

3x + 5 = 5x + 1                  Subtract 3x from both sides

Solution

3x - 3x + 5 = 5x - 3x + 1   Combine like terms

5 = 2x + 1                          Subtract 1 from each side

5-1 = 2x +1 - 1                    Combine

4 = 2x                               Divide by 2

4/2 = 2x/2

x = 2    

Answer:

SSS or SAS

Step-by-step explanation:

Answer:

the slope is 1

Step-by-step explanation:

Answer:

its B becuase the exspresion of it is the hours of the 16 like 8 16 like that

Step-by-step explanation:

Answer:

The Answer to your question is x<-7 Hope This could Help

Step-by-step explanation:

Answer:

x<−3

Step-by-step explanation:

Let's solve your inequality step-by-step.

−3x+6>15

Step 1: Subtract 6 from both sides.

−3x+6−6>15−6

−3x>9

Step 2: Divide both sides by -3.

−3x/−3>9/−3

pls mark as brainliest

Answer:

4x and (1-y)

Step-by-step explanation:

4x(1-y)

this is my answer

The factors of the expression are 18x and 4-y

Given the expression 72x - 18xy

Find the factor of each term:

72x = 18 * 4 * x

18xy = 18 * x * y

Since 18x is common to both terms, hence the factored form is expressed as:

72x - 18xy = 18x (4 - y)

The factors of the expression are 18x and 4-y

Learn more on factors here: https://brainly.com/question/24539261

Answer:

53.4

Step-by-step explanation:

Answer:

Line J

Step-by-step explanation:

It is sloping downwards. It starts in  the top left and end at the bottom right, so it it the only negative one

Answer:

Line J

Step-by-step explanation:

Its the only one descending downwards, while the other two are going up in a positive direction.

Hope this helps (:

Answer:

Let's solve for x.

−5x + 4y = 3

Step 1: Add -4y to both sides.

−5x + 4y+ −4y =3+ −4y

−5x = −4y +3

Step 2: Divide both sides by -5.

-5x divided by 5 = -4y+3 divided by -5

x=4/5y + −3/5

Step-by-step explanation:

Answer:

she made $42.40

the store made $487.60

Step-by-step explanation:

530 x .08

Answer:

-1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

-5 -15 = -20

-20+4 = -16

-16+15 = -1

Therefore, -5-15+4+15 = -1

20cm×15 cm =300

32

/100 = 0.32

9514 1404 393

Answer:

  1.5 cm

Step-by-step explanation:

All areas are in cm^2. For a width w, the border will have an area equal to the product of its centerline length and its width:

  border area = 2((20-w) +(15-w))·w = w(70 -4w)

This area is 32% of the total cover area, so is ...

  0.32(20)(15) = 96

Equating these expressions for the area gives ...

  96 = 70w -4w^2

  w^2 -17.5w = -24 . . . . . divide by -4

  w^2 -17.5w +8.75^2 = -24 +8.75^2 . . . . . complete the square

  (w -8.75)^2 = 52.5625 . . . . simplify

  w -8.75 = ±√52.5625 = ±7.25

A border width only makes sense if it is between 0 and 7.5 cm, so the appropriate value for w is ...

  w = 8.75 ± 7.25 . . . . . . . . . add 8.75

  w = 8.75 -7.25 = 1.50 . . . . . the solution w=16 makes no sense

The border width is 1.5 cm.

Answer:

30

Step-by-step explanation:

2^3=8

8x3=24

24+6=30

Answer:

872 is the final answer

Step-by-step explanation:

Answer: The answer is 872

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

Answer:

I got X = -6 hope I'm right

Answer:

Use the SOH CAH TOA

Step-by-step explanation:

Angle = 60°

x = opposite o

y = adjacent a

10√ 3 = hypotenuse h

To find x we use SOH {sineø = o/h}

Sin 60° = x/10√ 3

x=10√ 3 * sin 60

X=15

You can use Pythagoras theorem or CAH{cosø = a/h}

Cos 60°= y/10√ 3

y=Cos 60° * 10√ 3

y=5√ 3

Answer:

i think its $1.07 per pound.

Step-by-step explanation:

Answer:

It has to be the third option.

Happy to help :)

Answer:

0.1

Step-by-step explanation:

Please mark me brainleist

Answer:

They can make 2

Step-by-step explanation:

The coffee shop donated 2lbs, and if they package it in 1lb bags, 2/1=2