Jamal has 30 ounces of a 20% saline solution. This means 20% of the solution is salt. He combines this solution with 25 ounces of a
30% saline solution
What is the total amount, in ounces, of salt in the combined moxture?​

9514 1404 393

Answer:

Step-by-step explanation:

It can work well to factor the leading coefficient from the x-terms.

  5(x² -8x) +60

Now, add the square of half the x-coefficient inside parentheses, and subtract the same amount outside parentheses.

  5(x² -8x +16) +60 -(5)(16)

  5(x -4)² -20 . . . . write as a square, simplify the added constant

The vertex form is ...

  5(x -4)² -20

It shows you the vertex is (4, -20). This is the turning point.

_____

Vertex form is a(x -h)² +k, where (h, k) is the vertex.

Answer:Thus, 9/4 is the simplified fraction for 63/28 by using the GCD or HCF method. Thus, 9/4 is the simplified fraction for 63/28 by using the prime factorization method. 94 is already in the simplest form. It can be written as 2.25 in decimal form (rounded to 6 decimal places).

The given ratio 63:28 can be expressed as the simplified fraction 9/4.

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

The given ratio is following as:

63:28

To express this ratio as a fraction in simplest form, we can use the method of finding the greatest common divisor (GCD) or highest common factor (HCF) between the numerator and denominator.

The GCD/HCF of 63 and 28 is 7.

We can divide both the numerator and denominator by 7 to simplify the fraction:

⇒ (63 ÷ 7) / (28 ÷ 7) = 9/4

Therefore, the ratio 63:28 can be expressed as the simplified fraction 9/4.

Learn more about the fraction here:

brainly.com/question/10354322

#SPJ2

Answer:

true sorry if wrong im not the best at this type of math but im average

Step-by-step explanation:

Answer:

six 6 is the median number i think

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

Your answer would have to be Graph A

Step-by-step explanation:

Because it's properly set up

Answer:

  30√3 m ≈ 52 m

Step-by-step explanation:

The side ratios in a 30°-60°-90° triangle are 1 : √3 : 2. The long leg of the triangle is √3 times 30 m, or about 51.96 m.

The distance between the tree and the tower is about 30√3 m ≈ 52 m.

__

If you haven't memorized the ratios of this special triangle, you can use the relation ...

  Tan = Opposite/Adjacent

  tan(30°) = 30/d

  d = 30/tan(30°) = 30√3 = 51.96 . . . . same as above

Answer:

44%

Step-by-step explanation:

55 out of 125 just means we divide 55 by 125.

[tex]\frac{55}{125} = .44[/tex]

[tex].44 = 44%[/tex]%

.44 can be converted to 44% by moving the decimals place.

Answer:

Ye cs they're both cong.

Step-by-step explanation:

Answer:

Which figures

Step-by-step explanation:

Answer:

= − 8

Step-by-step explanation:

Combine like terms  

Divide both sides of the equation by the same term

Simplify

Answer:

A. [tex]3<\sqrt{15} <4[/tex]

Step-by-step explanation:

First we need to know what [tex]\sqrt{15}[/tex] equals.

It equals around 3.87, which is more than 3 and less than 4.

Answer: It might be "A" i dont know.

Answer:

I think it would be 20 hope it helps and good luck

Step-by-step explanation:

Answer:

i think its at 21

Step-by-step explanation:

Answer:

20 yd²

Step-by-step explanation:

lets do the big one

4 x (6-2) = 4 x 4 = 16 yd²

2 x (4-2) = 2x2 = 4 yd²

16 yd² + 4 yd² = 20 yd²

Another way

Find the area of the figure if it was a rectangle

4 x 6 = 24 yd²

then subtract 2 x 2 = 24 yd² - 4 yd² = 20 yd²

Answer:

20

Step-by-step explanation:

Solve the area of the squares separately, then add. the small square has a length and width of 2, and 2x2 is 4, so that area is 4. the bigger one has a length and width of 4, and 4x4 is 16, and then we add the two values together, and 16+4 is 20, so the total area is 20.

Answer:

1/9

Step-by-step explanation:

prime #'s between 1 and 45:

2,3,5,7,11,13,17,19,23,27,29,31,37,41,43

P(prime,prime) = 15/45 × 15/45 or 1/3 × 1/3

Answer:

3^(2x+1)

Step-by-step explanation: srry if am wrong and am probally wrong.

Answer:

Volume of slice is  40 in³

Volume of the remaining cake is 197.014 in³

Step-by-step explanation:

hope this helps!!

brainliest please?

Answer:

The 16 cans for 13.60

Step-by-step explanation:

21.36 ÷ 24 = 0.89

10.56 ÷ 12 = 0.88

17.20 ÷ 20 = 0.86

13.60 ÷ 16 = 0.85

The 16 cans for 13.60 is the best buy, just remember, cost ÷ amount!!

Answer:

i think the awnser wold be 16 cans for 13.60$

Step-by-step explanation:

if i am wrong i am truly sorry!

you can buy 16 cans for 13.60 and if you need more you would be saving a lot of money for 32 cans for 17.20.

Answer:

Students review how to determine the surface area and volume of a rectangular prism, that all dimensions are equal in cubes so the volume of cubes are the length of any side raised to the third power, or cubed. This prepares them for two associated activities. First, students find the volumes and surface areas of rectangular boxes such as cereal boxes and then figure out how to convert their boxes into a new, cubical boxes having the same volume as the original. As they construct the new, cube-shaped boxes from the original box material, students discover that the cubical box has less surface area than the original, and thus, a cube is a more efficient way to package items. Students consider why consumer goods are generally not packaged in cube-shaped boxes, even though this would require fewer materials and ultimately, less waste. Then, to display their findings, each student designs and constructs a mobile that contains a duplicate of his or her original box, the new cube-shaped box of the same volume, the scraps that are left over from the original box, and pertinent calculations of the volumes and surface areas involved.

Step-by-step explanation:

Answer:

0.333 or 1/3

Step-by-step explanation:

2/6 = 0.333 = 1/3

Answer:

1/32

Step-by-step explanation:

Answer:

13.6 in (mrs clark)

Step-by-step explanation:

a²+b²=c²

16 + 169 = c²

c² = 185

c ≈ 13.6

Answer:

942m³

Step-by-step explanation:

π×radius²×height

π×5²×12=942.4777961m²

to 3sf it's

942m³

3 significant figures is 3 numbers.

Question :-

Answer :-

[tex] \rule{180pt}{4pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{5 \: m}}\put(9,17.5){\sf{12 \: m}}\end{picture}[/tex]

Solution :-

As per provided information in the given question, we have been given that the Radius of a cylinder is 5 meters. The height of a cylinder is 12 meters. We have been asked to find the volume of a cylinder.

To calculate the volume of a cylinder, we will apply the formula below :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]

Substitute the given values into the above formula and solve for Volume :-

[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(5 \: m)^2(12 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(25 \:m^2)(12 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (78.5 \:m^2)(12 \:m)[/tex]

[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 942 \: m^3}[/tex]

Therefore :-

[tex]\\[/tex]

Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979

Have a great day! <33

Answer:

a) 5/8

Step-by-step explanation:

f(-3) when f(x)=5(2)^x just replace the x with -3

f(x)=5(2)^x = 5 (2)^-3 we find the 3rd power of 2 first which means multiply 2 with itself 3 times

2×2×2 = 8 but here, it asks us for negative third power of 2 so we turn the 8 upside down :

if 2^3 = 8 then 2^-3 = 1/8 and now we multiply it with 5

5 × 1/8 = 5/8

Answer:

Step-by-step explanation:

Standard form:  -4x³ + x + 7

Name of the polynomial:

Based on number of terms:  3 terms are there.

Trinomial

Based on degree:

Degree of the polynomial is 3

Cubic polynomial

9514 1404 393

Answer:

  (a)  (2, 6)

Step-by-step explanation:

The function is constant where its graph is horizontal. That portion of the graph lies between x=2 and x=6. In interval notation, the function is constant in the interval (2, 6).

Answer:

Step-by-step explanation: