A prism's volume is given by the expression
6k2 – 13k + 5. The area of the base of the
prism is 2k – 1.

Which expression represents the height of the prism?

k + 4
3k – 5
3k – 8 +
4k – 7 –

You found $5, so it's positive. You don't put anything in the negative, because you aren't losing anything.

It's 6. (1.2)x5 is just 1.2x5, which equals to 6.

814,180. Hope I helped. If i didn't I am sos sorry. I would take 7.9 or .079 to 754,844 to get your number.

The approximate population of South Dakota in 2010 after a 7.9% increase from the 2000 population is 814,477 people.

To find the population of South Dakota in 2010, we need to calculate the increased population based on the given percentage increase. We are provided with a population of 754,844 in 2000 and an increase of 7.9% for 2010.

Here is the step-by-step calculation:

Multiply the population of 2000 by the increase percentage (converted to a decimal):

754,844 x 0.079 = 59,632.68.

Add this increase to the 2000 population to get the 2010 population:

754,844 + 59,632.68 = 814,476.68.

Therefore, the approximate population of South Dakota in 2010 is 814,477 people (rounded to the nearest whole number).

Answer: 4:7

Step-by-step explanation:

Total number of marbles : 3 + 8 = 11

8 are white.

Probability of picking a white one is 8/11

To solve the equation -9/4v + 4/5 = 7/8, subtract 4/5 from both sides, find a common denominator for 7/8 and 4/5, simplify, and multiply by 4/9 to solve for v.

To solve the equation -9/4v + 4/5 = 7/8, we need to isolate the variable v. To do this, we can start by subtracting 4/5 from both sides of the equation, which gives us -9/4v = 7/8 - 4/5. Next, we need to find a common denominator for 7/8 and 4/5. The least common multiple of 8 and 5 is 40, so we can rewrite both fractions with a denominator of 40. This gives us -9/4v = 35/40 - 32/40. Continuing to simplify, we get -9/4v = 3/40. To get rid of the fraction, we can multiply both sides of the equation by 4/9, canceling out the fraction on the left side. This gives us v = (3/40) * (4/9), which simplifies to v = 1/30.

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Hello there!

This question is about to used their order of operations.

Order of operations stands for

↓

P-Parenthesis

E-Exponents

M-Multiply

D-Divide

A-Add

S-Subtract

63+9*8+72÷9-13

63+72+72÷9-13

135+72÷9-13

135+8-13

143-13

=130

Answer⇒⇒ 130

Hope this helps!

Thank you for posting your question at here on Brainly.

-Charlie

Answer:

x + y = 75.9 + 2.65 = 78.55

Step-by-step explanation:

To solve x + y given that x = 75.9 and y = 2.65. We will simply substitute the value of x in the equation with it value which is 75.9 and substitute the value of y in the equation with it value which is 2.65.

Therefore we have x + y to be

x+y

= 75.9 + 2.65

= 78.55

Therefore x + y = 78.55

[tex]\((21/2 \times 2 \ 3/4)^2\) is equivalent to \(\frac{13320.25}{16}\)[/tex]

Sure, let's simplify the expression [tex]\((21/2 \times 2 \ 3/4)^2\)[/tex] step by step:

1. [tex]\(21/2\)[/tex] can be simplified to [tex]\(10.5\)[/tex].

2. [tex]\(2 \ 3/4\)[/tex]can be written as an improper fraction: [tex]\(2 \ 3/4 = 8/4 + 3/4 = 11/4\)[/tex].

Now, the expression becomes [tex]\((10.5 \times 11/4)^2\)[/tex].

3. Multiply [tex]\(10.5\) by \(11/4\): \(10.5 \times 11/4 = 115.5/4\)[/tex].

Now, the expression is [tex]\((115.5/4)^2\)[/tex].

4. Square the fraction: [tex]\((115.5/4)^2 = (115.5^2)/(4^2)\)[/tex].

5. Calculate the numerator and denominator separately: [tex]\(115.5^2\)[/tex] in the numerator and [tex]\(4^2\)[/tex] in the denominator.

[tex]\[ \text{Numerator: } 115.5^2 = 13320.25 \][/tex]

[tex]\[ \text{Denominator: } 4^2 = 16 \][/tex]

6. The final result is [tex]\(\frac{13320.25}{16}\)[/tex].

Now, you can simplify this fraction by dividing the numerator by the denominator:

[tex]\[ \frac{13320.25}{16} \div 1 = \frac{13320.25}{16} \][/tex]

Answer:

10.3727253…, irrational

Step-by-step explanation:

Just took the test

48 lbs / 12 bags

About 4 pounds of sand per bag

Each bag would hold 4 pounds of sand because 48 / 12 = 4

First Solving for like terms such as 2x+-4x = -2

x+7=2x+5−4x

x + 7 = 2x + 5

x + 2x = 5 - 7

3x = -2

x = -2/3

So the answer should be to combine the like terms in step two. x + 7 = -2x + 5

The answer you are looking for is Y = 4X + 14.

To find this, you must solve for B. In doing so, you fill in the equation Y = MX + B, where M = 4, Y = -2, and X = -4. Filling in, you should get -2 = 4(-4) + B, which now you solve for B. Multiply -4 and 4 together to get -16, then add 16 to both sides. This will make B = 14. Finally, fill in Y = MX + B once more, this time only with M and B. Thus making Y = 4X + 14 the answer. Here's a graph to show this is correct.

I hope this helps!

[tex]\dfrac{1}{2}at^2=V\qquad\text{multiply both sides by 2}\\\\at^2=2V\qquad\text{divide both sides by}\ a\neq0\\\\t^2=\dfrac{2V}{a}\to\boxed{t=\sqrt{\dfrac{2V}{a}}}[/tex]

In every number you are dividing by 100 hope this helps 1234 ÷100 = 123.4÷100=12.34 ect...

Answer:

actually you divide by 10. 1234÷10, 123.4 ÷10, etc.

Step-by-step explanation:

Answer:

x=900/47, y=720/47

4x=5y == 3600/47 (top and bottom angle values)

3x+3y == 4860/47 (left and right angle values)

If you want the values in mixed number form, reply back.

Step-by-step explanation:

You can set this up in many different ways.

First, the inverse angles are always equal, so 4x=5y

Additionally, 2 sets of angles are supplementary, meaning they add up to 180 degrees; they are 4x+3x+3y=180 and 5y+3x+3y=180; both are equal

You could simplify the above two equations to get 7x+3y=180 and 3x+8y=180, meaning that 7x+3y=3x+8y, and 4x=5y

This simplifies to y=4x/5

Additionally, you could add the equations, meaning that 10x+11y=360, and y=4x/5

This gives you the answer:

x=900/47 and y=720/47.

You could check this by plugging the values into the equation, and if you do the math (which, I know, is kind of painful), you get the supposed values, so hooray!

Answer:

The angles measuring 4x and 5y measure: 3600/47

The other two angles measure: 4860/47

Step-by-step explanation:

The angles measuring 4x and 5y are vertical angles. Vertical angles are congruent, so we have one equation: 4x = 5y.

The angles measuring 5y and 3x + 3y form a linear pair. Angles in a linear pair are supplementary, so their measures add up to 180 degrees. That gives us a second equation: 3x + 3y + 5y = 180, or simply 3x + 8y = 180.

We have a system of two equations in two unknowns, so we can solve for x and y.

4x = 5y

3x + 8y = 180

We will use the substitution method.

Solve the first equation for x: x = 5y/4

Substitute 5y/4 for x in the second equation.

3(5y/4) + 8y = 180

15y/4 + 8y = 180

15y + 32y = 720

47y = 720

y = 720/47

Substitute y with 720/47 in the first original equation and solve for x.

4x = 5y

4x = 5(720/47)

4x = 3600/47

x = 900/47

The angles measuring 4x and 5y measure: 4x = 4(900/47) = 3600/47

The other two angles measure: 3x + 3y = 3(900/47) + 3(720/47) = 2700/47 + 2160/47 =4860/47

To find the values of x and y in the equation 40 = 12x + 4y, isolate the x term and solve for x, then substitute the value of x into the equation to solve for y.

To find the values of x and y in the equation 40 = 12x + 4y, you need to solve for one variable at a time. First, isolate the x term on one side of the equation by subtracting 4y from both sides:

40 - 4y = 12x

Then, divide both sides by 12 to solve for x:

x = (40 - 4y) / 12

Now you have the equation for x in terms of y. To find the values of y, you can substitute the expression for x into the original equation and solve for y.

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Answer:

141 Square units.

Step-by-step explanation:

Area of a circle is equal to pi*radius squared.

[tex]A = \pi \times 6.7^{2} \\A = 141.026....\\A \approx 141 u^2[/tex]

Answer:

A = 141 m²

Step-by-step explanation:

The formula of an area of a circle with radius r:

[tex]A_O=\pi r^2[/tex]

We have r = 6.7m. Substitute:

[tex]A_O=\pi\cdot6.7^2=\pi\cdot44.89\approx3.14\cdot44.89=140.9546\approx141\ m^2[/tex]

Find the x-intercept by substituting in 0 for y and solving for x.

Find the y-intercept by substituting in 0 for x and solving for y.

Let's find the x-intercept first: 2x + (0) = 8

2x = 8

Divide both sides by 2 to isolate and solve for the variable x, or the x-intercept.

x = 4 (x-intercept)

Now find the y-intercept: 2(0) + y = 8

Multiply 2 and 0.

y = 8 (y-intercept)

You have found the x-intercept to be 4 and the y-intercept to be 8. To graph the line, place a point on (4, 0) <== x-intercept and a point on (0, 8) <== y-intercept.

Your line should look like the attached image :)

Based on unit conversions, the weight of the parcel to the nearest whole kilogramm is 6 kg.

The weight in kilogram can be determined using unit conversions from pounds to kilograms as follows:

The weight of the parcel = 12 lbs 8 oz.

1 lb = 16 oz

12 lbs 8 oz = 200 oz (192 + 8)

200 oz = 12.5 lbs (200 ÷ 16)

1lb = 454 g

12.5 lbs = 5,675 g (12.5 x 454)

1,000 g = 1 kg

5,675 g = 5.675 kg (5,675 ÷ 1,000)

Approximation:

5.675 kg ≈ 6 kg.

Thus, we can conclude that 12 lbs 8 oz equals 6 kilograms approximately.

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To find the weight of Adam's parcel to the nearest whole kilogram, first convert the weight from pounds and ounces to grams, and then convert to kilograms. After conversions and rounding, the parcel weighs approximately 6 kilograms.

The question asks to convert the weight of a parcel from pounds and ounces to kilograms. We'll start by converting the entire weight into grams and then convert grams to kilograms, rounding to the nearest whole number.

To convert 12 lbs 8 oz to grams, we need to convert the pounds and ounces separately and then add them together. There are 16 ounces in a pound, so 12 lbs is the same as 192 oz (12 lbs x 16 oz/lb). Therefore, the total weight in ounces is 192 oz + 8 oz = 200 oz.

Next, we convert the ounces to grams using the fact that 1 oz = 28.35 g. So, 200 oz is equal to 200 oz x 28.35 g/oz = 5670 g. To convert grams to kilograms, we use the fact that 1 kg = 1000 grams. Hence,

We then divide the weight in grams by 1000 to get the weight in kilograms: 5670 g \/ 1000 = 5.67 kg. Since we want to round to the nearest whole kilogram, we round 5.67 kg to 6 kg.

Therefore, Adam's parcel weighs approximately 6 kilograms when rounded to the nearest whole number.

50 hundredths as a Fraction

Since 50 hundredths is 50 over one hundred, 50 hundredths as a Fraction is 50/100.

50 hundredths as a Decimal

If you divide 50 by one hundred you get 50 hundredths as a decimal which is 0.50.

50 hundredths as a Percent

To get 50 hundredths as a Percent, you multiply the decimal with 100 to get the answer of 50 percent.

we are given

Mr. Tomaszewski earned 2,000 zlotys

so, past salary =2000

he got a raise and currently earns 2,500 zlotys

so, present  salary =2500

now, we have to find raised amount

we can use formula

raised amount = (present salary) - (past salary)

now, we can plug values

and we get

raised amount = 2500 - 2000

so, we get

raised amount = 500 zlotys........Answer

f(-4) = 3(-4)^2 - 2(-4)

f(-4) = 3(16) + 8

f(-4) = 48 + 8

f(-4) = 56

I think the answer is 56 :)

Please give BRAINIEST :)

The answer is 56

Here's how I got my answer:

Step 1: Replace all the x's in the equation. Which leaves us with [tex]3(-4)^2-2(-4)[/tex]

Step 2: Solve [tex]-4^2[/tex], which is [tex]16[/tex]. That leaves is with [tex]3(16)-2(-4)[/tex]

Step 3: Solve [tex]2(-4)[/tex], which is [tex]-8[/tex]. That leaves us with [tex]3(16)+8[/tex]

Step 4: Solve [tex]3(16)[/tex], which is [tex]48[/tex]. That leaves us with [tex]48+48[/tex]

Step 5: Simplify [tex]48+48[/tex] to get your answer, 56.

I believe the answer is 100 milliliters

The capacity of the beaker is  is 100 ml

The capacity of a beaker is 0.1 L, convert this to milliliters (ml). We can say that the capacity in ml is variable x.

We know that:

[tex]\boxed {1L = 1000ml }\\[/tex]

so , to find the 0.1 L in milliliter :

[tex]\boxed {\frac{1000 ml}{1 L} = \frac{x}{0.1 L} }\\\boxed {x = \frac{1000ml \times0.1L}{1L} }[/tex]

we can cancel the Liter (L) unit in the above equation because it is both in the top and bottom:

[tex]\boxed { x= 100ml }[/tex]

From the above step-by-step, we can conclude three step in converting:

Liter (L) and milliliter (ml) are the most unit of volume use in metric system of measurement.

[tex]\boxed {1L =1000 ml = 1dm^{3} }[/tex]

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Keywords: conversion, converting liter to milliliter, converting unit of volume, unit of volume, capacity of a beaker

Answer:

the answer is A

Step-by-step explanation:

you just subtract the y2 by the y1

Answer:

Midpoint of the vertical line segment graphed below is:

(2, -2.5)

Step-by-step explanation:

Mid point of (x1,y1) and (x2,y2) is (a,b)

where [tex]a=\dfrac{x1+x2}{2}\ and\ b=\dfrac{y1+y2}{2}[/tex]

Here, (x1,y1)=(2,4) and (x2,y2)=(2,-9)

[tex]a=\dfrac{2+2}{2}\ and\ b=\dfrac4-9}{2}[/tex]

⇒ a=2 and b= -5/2= -2.5

Hence, midpoint of the vertical line segment graphed below is:

(2, -2.5)

Step 1: You want to remove the percent sign and then put the number over 100.

Step 2: If the percent is not a whole number then you want to multiply the top and bottom number by 10 but only for every number that comes after the decimal point.

Step 3: Always simplify if possible.

Examples:

43% = [tex]\frac{43}{100}[/tex]

78% = [tex]\frac{78}{100}[/tex] = [tex]\frac{39}{50}[/tex]

0.4% = [tex]\frac{0.4}{100}[/tex] = [tex]\frac{4}{1000}[/tex] = [tex]\frac{1}{250}[/tex]

Answer: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

[tex]x = -\frac{17N+r}{N-34}[/tex]

Step-by-step explanation:

[tex]N(17+x)=34x-r\\17N+Nx=34x-r\\Nx-34x=-r-17N\\x(N-34)=-r-17N\\x=\frac{-r-17N}{N-34}[/tex]

The cost per ounce of the first bottle is $0.415 and the second bottle is $0.699.

The first bottle has the better deal because if you were to have 14 ounces of the first type of shampoo, it would only cost $5.81

Cost per ounce is:

To find the cost per ounce for each bottle, use the formula:

= Total cost / number of ounces

6 ounce bottle:

= 2.49 / 6

= $0.42 per ounce

14 ounce bottle:

= 9.79 / 14

= $0.70 per ounce

The 6 ounce bottle is therefore the better deal.

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