help me answer this please

Answer:

  (a)  87.5%

  (b)  90%, 14.4 oz, 1.6 oz

Step-by-step explanation:

You want the fraction full a 64 oz container is if it holds 8 oz less than its capacity. You also want to know the amount that must be transferred from a 16 oz container if both containers are to be the same fraction full.

The amount in the 64-ounce container is ...

  64 oz - 8 oz = 56 oz

The fraction of its capacity this represents is ...

  (56 oz)/(64 oz) = 7/8 = 87.5%

The container is filled to 87.5% of its capacity.

If x is removed from a 16-ounce container and added to the 64-ounce container, their respective fill fractions are ...

  (16 -x)/16   and   (56 +x)/64

We want these values to be equal, so ...

  (16 -x)/16 = (56 +x)/64

  4(16 -x) = 56 +x . . . . . . . . . multiply by 64

  64 -4x = 56 +x . . . . . . . . . eliminate parentheses

  8 = 5x . . . . . . . . . . . . . . . . add 4x-56

  x = 8/5 = 1.6 . . . . . . . . . . . divide by 5

When 1.6 ounces are removed from the 16-ounce container, its fill fraction will be ...

  (16 -1.6)/16 = 1 - 0.1 = 0.90 = 90%

The 16-ounce container will be 90% filled, and will contain 14.4 ounces.

So, 1.6 ounces will need to be poured from the full 16 ounce container.

__

Additional comment

After receiving 1.6 ounces, the larger container will have 57.6 ounces. Its fraction full will be 57.6/64 = 90%, as required.

<95141404393>

Blank 1 - 87.5%  

Blank 2 - 90%

Blank 3 - 14.4 oz

Blank 4 - 1.6 oz

Answer:

Number A will be 0.5*3.5*4

Number B will be 0.5*3*4

Number C will be x*3

Number D will be x+ the value of 0.5*3.5*4

Here, x stands for the answer of the question/equation

Hope this helped!

Answer:6x+3

Step-by-step explanation:

x+5x=6x

6x+3

Answer:

See below

Step-by-step explanation:

We can see that the thick line which outlines the main cable, the base and tower form a triangle

The longest length is the main cable which is 15m

If it is indeed a right triangle. the squares of the sums of the two shorter sides must equal the square of the longer side.

Sum of squares of shorter sides(also called legs) = 9² + 12²

= 81 + 144

= 225

Square of the longer side = 15² = 225

Since 15² = 9² + 12²

the triangle shown is indeed a right triangle with hypotenuse = 15m and the legs of the right triangle  9m and 12m

the probability of rolling a sum of 4 when rolling a 6-sided die twice is,

⇒ 3 / 36.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Now, To determine the probability of rolling a sum of 4 when rolling a 6-sided die twice, we need to first find all the possible outcomes when rolling a die twice.

Since, There are 6 possible outcomes when rolling a single die:

1, 2, 3, 4, 5, or 6.

Now, When rolling two dice, we can combine each of these outcomes with every other outcome.

Hence, This gives us a total of 6 x 6 = 36 possible outcomes when rolling two dice.

Thus, To find the number of outcomes that add up to 4, we can list them out:

1 + 3

2 + 2

3 + 1

So, there are three possible outcomes that add up to 4.

Hence, To find the probability of rolling a sum of 4, we need to divide the number of outcomes that add up to 4 by the total number of possible outcomes:

⇒ P(sum of 4) = 3/36

Therefore, the probability of rolling a sum of 4 when rolling a 6-sided die twice is 3 / 36.

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ2

Answer:

a) y = 55

b) y = 45

c) y = -18

d) y = 5.45

Step-by-step explanation:

y = 15x - 50    when x = 7

y = 15(7) - 50

y = 105 - 50

y = 55

y = 1/2x + 20   when x = 50

y = 1/2(50) + 20

y = 25 + 20

y = 45

y = (3x)2 - 36    when x = 3

y = (3(3))(2) - 36

y = 9(2) - 36

y = 18 - 36

y = -18

y = 2.5x + 3.8    when x = 0.66

y = 2.5(0.66) + 3.8

y = 1.65 + 3.8

y = 5.45

Answer: the answer is 6

Step-by-step explanation:

Step-by-step explanation:

Since Elsa is running at 2 and Anna at 1.75, we can first subtract

2 - 1.75 = 0.25, meaning each second Else gains 0.25m

Now that Anna was given a 10m headstart, we can divide 10 by 0.25

10/0.25 = 40

Meaning it would take 40 seconds for Elsa to catch up

Answer:

Step-by-step explanation:

here you go hit this link

Answer: Price per Bag * Number of Bags = $1 * x = R(x)

To find the break-even point for the popcorn business, you need to find the number of bags of popcorn that need to be sold in order to cover the total cost, which includes the fixed cost of the machine and the variable cost of the consumables.

Calculate the cost per bag of popcorn for the consumables:

$15 for every 100 bags of popcorn ÷ 100 bags = $0.15 per bag.

Write an equation for the total cost as a function of the number of bags of popcorn made:

Total Cost = Variable Cost + Fixed Cost

Variable Cost = $0.15 * Number of Bags

Total Cost = $0.15 * Number of Bags + $450

Let C(x) represent the total cost where x is the number of bags of popcorn.

C(x) = $0.15 * x + $450

Write an equation for the revenue as a function of the number of bags of popcorn sold:

Revenue = Price per Bag * Number of Bags

Price per Bag = $1

Revenue = $1 * Number of Bags

Let R(x) represent the revenue where x is the number of bags of popcorn.

R(x) = $1 * x

Set the revenue equation equal to the total cost equation and solve for x, the number of bags of popcorn that need to be sold to reach the break-even point:

R(x) = C(x)

$1 * x = $0.15 * x + $450

$0.85 * x = $450

x = $450 ÷ $0.85 = 529 bags

Therefore, the business club needs to sell 529 bags of popcorn in order to reach the break-even point and cover their costs.

Step-by-step explanation:

Answer:

The answer here is 240!

Step-by-step explanation:

[tex]a = 6 {x}^{2} [/tex]

Since the figure shows 1/3

[tex]a = (6) { \frac{1}{3} }^{2} [/tex]

Squaring fractions is pretty much squaring the numerator and denominator. 1 squared is 1. 3 squared is 9, so....

[tex]a = (6) \frac{1}{9} [/tex]

[tex]a = \frac{2}{3} [/tex]

Answer: 8 square foot

Step-by-step explanation:

[tex]A = 6a^{2},[/tex]

Convert: 1 ft = 12 in

Divide: 12in / 3 = 4 in

1 / 3 ft = 4 in

L X W = 4in X 4in =  area on one side 16 in

Surface Area = 16in x 6 sides = 96 sq in

Convert to Sq Inches to Sq Foot

96 / 12 = 8 square foot

Answer: look at the image for the answer and the solution

Step-by-step explanation:

6 1/4 km: 1 1/4 minutes is the right answer

Answer:

-11

Step-by-step explanation:

6 + -11 is like 6 - 11

6 - 11 = -5

Answer:  Function

Step-by-step explanation:

I know bc im a teacher

Answer: The answer is 25

Step-by-step explanation:

Step-by-step explanation:

Sorry but here is my answer and my solution for my answer.

Answer:

Step-by-step explanation:

dont now

Answer:

6z + 240

Step-by-step explanation:

6(10 + z + 3) = 60 + 6z + 180 = 6z + 240

y = (1/6)x + 7

y = mx + b is the slope intercept equation

slope (m) = 1/6 which is rise/run so up 1, and right 6

point (-6, 6) means x = -6 and y = 6

substitute variables to see what is left to find.

6 = (1/6)(-6) + b --> solve for b.

6 = -1 + b --> 7 = b *** now reapply to slope intercept form with the exception of points (x, y) to obtain slope intercept formula.

y = (1/6)x + 7

Answer:

21ft

Step-by-step explanation:

We are given that the support post is 10 ft tall.

Let x represents the distance between the support post and the front of the house, that means that 25-x will be the distance from back.

By Geometric Mean Theorem, the length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.

So, by the previous Theorem, we get:

We got that the distance between the support post and the front of the house is 4 ft, while the distance between the support post and the back of the house is  ft.    

Answer:

11 + 4 = 15

15/3 = 5

The square root of 64 = 8

5 * 8 = 40

Answer: 40

Step-by-step explanation:

Hope it helps! =D

Answer:

40

Step-by-step explanation:

=(11+4)÷3×√64

=15÷3×8

=5×8

=40

Answer:

Step-by-step explanation:

so you spilt the shape in half.

cut out the top of the T. letssolve the top part.

10 times 2 times 5.

(equals 100)

and then lets solve the little rectangle at the bottom. 2 times 3 times 2 is 12.

(dont forget to add!)

100+12 is 112.

the answer is the 3rd from the top.

hope this helps.

Answer:

y=4       x=1

Step-by-step explanation:

(-3x+5y=20)x4

(4x+8y=32)x3

-12x+20y=80

12x+24y=96

-12x+20y=80

+12x+24y=96

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

44y=176

y=4       x=1

(i) x–3y–3=0

3x–9y–2=0

Comparing these with pair of equations of the form a

1

​

x+b

1

​

y+c

1

​

=0

and a

2

​

x+b

2

​

y+c

2

​

=0,  

a

2

​

a

1

​

​

=

3

1

​

,

b

2

​

b

1

​

​

=

−9

−3

​

=

3

1

​

,

c

2

​

c

1

​

​

=

2

3

​

∵

a

2

​

a

1

​

​

=

b

2

​

b

1

​

​



=

c

2

​

c

1

​

​

, the lines have no solution.

(ii) 2x+y=5

3x+2y=8

a

2

​

a

1

​

​

=

3

2

​

,

b

2

​

b

1

​

​

=

2

1

​

,

c

2

​

c

1

​

​

=

8

5

​

∵

a

2

​

a

1

​

​



=

b

2

​

b

1

​

​

, the lines have unique solution.

(iii) 3x−5y=20

6x−10y=40

a

2

​

a

1

​

​

=

6

3

​

=

2

1

​

,

b

2

​

b

1

​

​

=

−10

−5

​

=

2

1

​

,

c

2

​

c

1

​

​

=

40

20

​

=

2

1

​

∵

a

2

​

a

1

​

​

=

b

2

​

b

1

​

​

=

c

2

​

c

1

​

​

, the lines have infinitely many solution.  

(iv) x−3y−7=0;3x−3y−15=0

a

2

​

a

1

​

​

=

3

1

​

,

b

2

​

b

1

​

​

=

−3

−3

​

=1,

c

2

​

c

1

​

​

=

15

7

​

∵

a

2

​

a

1

​

​



=

b

2

​

b

1

​

​

, the lines have unique solution.

Answer: 84 (look at the image for the solution)

Step-by-step explanation: