estimate the sums and differences benchmark

5/11-1/10

Answer:

Check Description for answer

Step-by-step explanation

do it urself

Answer:

A) solution 2 is more acidic than solution 1

Step-by-step explanation:

A chemist prepares two acid solutions:

Solution 1: 3 parts sulfuric acid to 7 parts water

Ratio of sulphur to water: 3/7 (3:7)

Solution 2: 4 parts sulfuric acid to 9 parts water

Ratio of sulphur to water: 4/9 (4:9)

___________________________________________________

Part A: (using ratios to determine which solution is more acidic)

First we make same denominator, since the denominators are 9 and 7, we have to find the lcm (lowest common multiple) they both have with is 63. To do that, we must multiply the denominators with either 7 or 9.

Solution 1: Numerator (3) multiplied by 9 and then denominator (7) multiplied by 9. This makes out fraction/ratio 27/63

Solution 2: Numerator (4) multiplied by 7 and then denominator (9) multiplied by 7. This makes out fraction/ratio 28/63

Since 28/63 (or just 28) is a larger quantity than 27/63 (or just 27) this means solution 2 is more acidic than solution 1.

Mathematical Line (Not sure what you would call this lol): 28 > 27

Part B: (Let 'y' amount of sulfuric acid mix with 'x' amount of water)

Equation of solution 1: y = 3/7x

Equation of solution 2: y = 4/9x

Please find attachment for graph.

Part C: Don't have a graph, sorry! (part a. method is more preferred to find more acidic because it gives the actual acidic amount.)

Answer:

To find out how much money is in the account after the growth, we can use the formula:

FV = PV(1+r)

Where FV is the future value of the account, PV is the present value of the account, and r is the rate of growth expressed as a decimal.

In this case,

PV = $225

r = 3.2% = 0.032 (as a decimal)

By substituting the values in the formula:

FV = PV(1+r)

FV = $225 * (1 + 0.032)

FV = $225 * 1.032

FV ≈ $232.7 (rounded to two decimal places)

Therefore, the account has $232.7 after the growth of 3.2%.

Answer: $232.20

Step-by-step explanation:

3.2%=0.032

225x0.032=7.2

225+7.2=232.2

Answer:

Step-by-step explanation:

Answer:

29 is the correct answer.

Answer:

29

Step-by-step explanation:

4²(3-1/2)-√121

16(3-1/2)-√121

40-√121

=29

Answer:39

Step-by-step explanation:

Answer:

39 sq cm

Step-by-step explanation:

you need to find out the area of the entire rectangle, which is 9x5, or 45

now subtract out from 45 the area of the triangle

the triangle is a right triangle and we can use the pythagorean theorem to find the base is 5

we can calculate the height as 12/5

since area (triangle) is 1/2(base)(height) we get:

1/2(5)([tex]\frac{12}{5}[/tex]) which gives us 6

so area of shaded region is 45-6, or 39

Answer:

y is the number of centimeters per minutes

Step-by-step explanation:

Answer:

y = # of centimeters per min

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

it was pretty simple you just had to read

Answer:

p=7/2

Step-by-step explanation:

2p=7

/2. /2

p=7/2

now to check

2(7/2)=7

14/2=7

7=7

its true

hopes this helps

Answer: a fair two-sided coin

Step-by-step explanation:

there are only two sides, and the equation is s= h,t which also h,t means heads, tails

Answer:

Step-by-step explanation:

i took a test with this qeston is 20

Answer:

4

Step-by-step explanation:

the lowest point is 1

the highest point is 5

5-1

4

Answer:

probably the lowest point

Answer: 1m42cm

Step-by-step explanation:

Distance - height = 2m50cm - 1m08cm = 1m42cm

Answer:

45

Step-by-step explanation:

6+30+48-1-9=45

Answer: 2x + 4x = (2 + 4)x = 6x

Step-by-step explanation:

The expression 2x + 4x represents the cost of buying the same number of cases of spring water and sparkling water. To express the total cost, we need to add the cost of buying the two types of water.

Since the expression 2x represents the cost of buying x cases of spring water, and 4x represents the cost of buying x cases of sparkling water, the total cost can be expressed as:

2x + 4x = (2 + 4)x = 6x

Therefore, the total cost of buying x cases of spring water and sparkling water can be expressed as 6x.

Alternatively, you can think of it as buying x cases of spring water at a cost of 2x dollars and x cases of sparkling water at a cost of 4x dollars. So the total cost is (2x+4x) dollars which is 6x dollars.

- C

better deal for Kyle means which is cheaper, namely which one gives the more Cereal per penny.

well, we can look at both deals from a standpoint of a rate, let's see how much each one costs per ounce.

[tex]\begin{array}{ccll} oz&\$\\ \cline{1-2} 9 & 2.52\\ 1& x \end{array} \implies \cfrac{9}{1}~~=~~\cfrac{2.52}{x}\implies 9x=2.52\implies \underset{\textit{\LARGE better deal}}{\stackrel{\textit{28 cents per ounce}}{x=\cfrac{2.52}{9}\implies x=0.28}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} oz&\$\\ \cline{1-2} 12 & 3.60\\ 1& y \end{array} \implies \cfrac{12}{1}~~=~~\cfrac{3.60}{y}\implies 12y=3.6\implies \stackrel{\textit{30 cents per ounce}}{y=\cfrac{3.6}{12}\implies y=0.30}[/tex]

well, yes, "x" is better but by how much?  well, 0.30 - 0.28 = 0.02, by 2¢ at Mt Rushmore.

Answer:

8

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

In fractions, you can convert 1/2 and 1/3's denominators into a common number.
First, multiply 2 by 3 and 3 by 2. The denominator will be 6
Then, multiply the top by the same number (the numerator)
1/2*3/3 = 3/6.
1/3*2/2=2/6
3/6+2/6=5/6

Answer: 1.5, 1 1/2

Step-by-step explanation:

1/2 / 1/3
reciprocal of 1/3 is 3/1
1/2 x 3/1 = 3/2 = 1 1/2

Answer:

Step-by-step explanation:

Answer: we see no choices, but these are the options: 1/2+Y, y+1/2=y+1/2

[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ \left( \sqrt{z} ~~ \sqrt{y} ~~ \sqrt{x} \right)^8\implies \left(\sqrt{zyx} \right)^8\implies \left(\sqrt[2]{(zyx)^1} \right)^8 \\\\\\ \left( (zyx)^{\frac{1}{2}} \right)^8\implies (zyx)^{\frac{1}{2}\cdot 8}\implies (zyx)^4\implies z^4 y^4 x^4[/tex]

Answer:

[tex]z^{4}[/tex][tex]y^{4}[/tex][tex]x^{4}[/tex]

Step-by-step explanation:

Another way to write the expression is

([tex]z^{1/2}[/tex][tex]y^{1/2}[/tex][tex]x^{1/2}[/tex]) ^8

the power to power principle tells us that when we raise a power to a power, we multiply the exponents

[tex]\frac{1}{2}[/tex] x[tex]\frac{8}{1}[/tex] = [tex]\frac{8}{2}[/tex] = 4

[tex]z^{4}[/tex][tex]y^{4}[/tex][tex]x^{4}[/tex]

Answer:

so... what exactly.. is the question. if you lmk i would be happy to answer it for you. but i cant answer an unasked question

Answer:

In Sandy's experiment of flipping a coin, it is most likely that Sandy's experimental probability was closest to the theoretical probability in the experiment with 3,000 flips.

The Law of Large Numbers states that as the number of trials or experiments increases, the experimental results should approach the theoretical probability more closely. In this case, since the number of flips increases from 80 to 800 to 3,000, the experiment with 3,000 flips provides a larger sample size and is more likely to converge towards the theoretical probability.

Therefore, the experiment with 3,000 flips would provide a better approximation of the theoretical probability compared to the experiments with 80 or 800 flips.

Answer:

the answer is 245

Step-by-step explanation:

13+2=15 and 15+ 47=62-13=49x5=245 hope this helps:)

Answer: 127

Step-by-step explanation:

=13+2+47+65

=127

DON’T FORGET ABOUT ORDER OF OPERATIONS

Step-by-step explanation:

10th justify dt7f5 5th vivihovk fissusyzx

Answer: This situation cannot be true for any positive value of x. The valid range would be 0 < x < 4. If the x is less than 4, the perimeter of triangle 1 is always greater than triangle 2.

Explanation: We need to add up the lengths of the sides for obtaining the perimeters first.

Triangle 1: 5x + 57

Triangle 2: 11x + 33

Then, we need to build up an inequality for the case which the perimeter of triangle 1 is always greater than triangle 2.

This means => 5x + 57 > 11x + 33

If we write "x" values on one side:

24 > 6x

Then dividing by 6 for both sides:

4 > x

This means that a positive value of x should be less than 4 for this particular situation.

c 110

Step-by-step explanation:

crista

Answer:

C) 110°

Step-by-step explanation:

The answer is 110° because trapezium SDVL and FJRK are both equal.

Letter resemblence: (basically what letter in SDVL equals a letter in FJRK)

S = F

D = J

V = R

L = K

Answer:

one half > three eighths

Step-by-step explanation:

yes.