b) Work out 48 divided by 1/2

Answer:

14:8 and 21:12

Step-by-step explanation:

Equivalent fractions are fractions that look different but hold the same value. In this case, 7:4 = 14:8 = 21:12

Answer:

14:8, 28:16

Step-by-step explanation:

This could be anything. Ratios are like fractions; as long as you make changes to both sides, it will equal the same thing. So for the two examples I put, I simply multiplied both sides by 2 for the first one, and 4 for the second one.

But, you could multiply it by whatever you want, even negative numbers and fractions. However, I wouldn't try to complicate it, if the question didn't ask me to. Just keep to the easiest equivalents to make your life easier.

Hope this helps :))

Answer:

The one all the way to the right

Step-by-step explanation:

30 ÷ X = 6

30 ÷ 5 = 6

The surface area of the wooden structure is approximately 1012 cm².

To calculate the surface area of the wooden structure, we need to find the surface area of the cone and the surface area of the hemispherical base, and then add them together.

Surface Area of the Cone:

The surface area of a cone is given by the formula:

A_{cone = \(\pi \times r_{cone} \times (r_{cone} + s_{cone})\), \(r_{cone\) is the radius of the base of the cone and \(s_{cone\) is the slant height of the cone.

The vertical height of the cone is 24 cm, and the base radius is 7 cm, we can calculate the slant height using the Pythagorean theorem:

\(s_{cone\) = \(\sqrt{(r_{cone}^2 + h_{cone}^2).\)

Using the given measurements:

\(s_{cone\) = √(7² + 24²) cm

\(s_{cone\) ≈ √(49 + 576) cm

\(s_{cone\) ≈ √625 cm

\(s_{cone\) ≈ 25 cm

Now, we can calculate the surface area of the cone:

\(A_{cone\) = π × 7 cm × (7 cm + 25 cm)

\(A_{cone\) = (22/7) × 7 cm × 32 cm

\(A_{cone\) = 704 cm²

Surface Area of the Hemispherical Base:

The surface area of a hemisphere is given by the formula:

\(A_{hemisphere\) = \(2 \times \pi \times r_{base}^2\), \(r_{base\) is the radius of the base of the hemisphere.

Given that the base radius is 7 cm, we can calculate the surface area of the hemispherical base:

\(A_{hemisphere\) = 2 × (22/7) × (7 cm)²

\(A_{hemisphere\) = (22/7) × 2 × 49 cm²

\(A_{hemisphere\) = 308 cm²

Total Surface Area:

To calculate the total surface area, we add the surface area of the cone and the surface area of the hemispherical base:

Total Surface Area = \(A_{cone} + A_{hemisphere}\)

Total Surface Area = 704 cm² + 308 cm²

Total Surface Area = 1012 cm²

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The total hours that Karen spent baby-sitting on the weekend is 7 hours.

a + b = 8 hours equation 1

6a + 13b = 55 equation 2

Where:

Multiply equation 1 by 13

13a + 13b = 104 equation 3

Subtract equation 2 from equation 3

7a = 49

a = 7 hours

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Step-by-step explanation:

11 + 7 + 6 + 3 = 27

total amount of pizza = 27

Hawaiian pizza = 3

3/27 = 1/9

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(y = \stackrel{\stackrel{m}{\downarrow }}{1}x + 8\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a line whose slope is 1 and that it passes through (-10 , 4)

\((\stackrel{x_1}{-10}~,~\stackrel{y_1}{4})\hspace{10em} \stackrel{slope}{m} ~=~ 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{ 1}(x-\stackrel{x_1}{(-10)}) \implies y -4= 1 (x +10) \\\\\\ y-4=x+10\implies {\LARGE \begin{array}{llll} y=x+14 \end{array}}\)

Answer: 0.023

Step-by-step explanation:

Given that:

Number of green balls = 9

Number of white balls = 8

Total number of balls = 9 + 8 = 17

Drawing with replacement :

Probability of white :

First draw = 8/17

2nd draw = 8/17

3rd draw =. 8/17

4th draw = 8/17

5th draw = 8/17

P(all 5 are white) = 8/17 * 8/17 * 8/17 * 8/17 * 8/17 = 32768/1419857

= 0.0230783

= 0.023

Answer:

31

Step-by-step explanation:

Our data;

\(20, 16, 8, 12, 6, 31, 15, 14\)

If we put our data set from least to greatest it's muche asier to tell the outliers;

\(6, 8, 12, 14, 15, 16, 20, 31\)

Based on the ratio of Chinooks to Steelhead, if there are 120 Steelheads, the biologist should expect to count 48 Chinooks.

The first part of the question shows that for every 4 Chinooks, there are 10 Steelheads.

The ratio of Chinooks to Salmon is therefore:
= 10 / 4

= 2.5

This means that for every 1 Chinook, there are 2.5 Steelhead.

If there are 120 Steelheads, the number of Chinooks would be:

= 120 / 2.5

= 48 Chinooks

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Answer:

true

Step-by-step explanation:

Answer: We can use tangent here to find the length of the flagpole

First, find the length of the building + the flag pole

tan 32 = x/300

x=300tan32=187.460805573

(length of building + flagpole)

find length of building

tan 30 = x/300

x=173.205080757

subtract

187.460805573-173.205080757=14.255724816

round, length of flagpole = 14 feet

The length of the flagpole is 14.26 feet.

In a triangle, if A be the adjacent side of the angle C & B be the opposite, then tan C = Opposite side/ Adjacent side  = B/A

Let, Length of building + length of flagpole = x

Distance from the base of the building = 300 feet

Then, tan32° = x/300

⇒ x = 300 tan32°

⇒ x = 187.46

Now, let, length of the building = y

Then, tan30° = y/300

⇒ y = 300 tan30°

⇒ y = 173.2

So, length of the flagpole = 187.46-173.2 =14.26 feet

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Answer:

Option D is the right option

solution,

\(3x - 9 = - 33 \\ or \: 3x = - 33 + 9 \\ or \: 3x = - 24 \\ or \: x = \frac{ - 24}{3} \\ x = - 8\)

Hope this helps...

Good luck on your assignment..

Answer:

-8

Step-by-step explanation:

3x-9=-33

transpose 9 to RHS

->3x=-33+9=> 3x=-24

transposing 3 to RHS

=> x=-24÷3

=> x=-8

The population of the group in 2019 is 2,134,000 people

Let P represent the population in thousands of people in the year t after 2011

Given the equation:

\(P=1200(2)^{0.1038t}\)

a) The population of the group in 2019, that is t = 8(2019 - 2011):

\(P=1200(2)^{0.1038*8}=2134\)

b) The population of the group in 2029, that is t = 18(2029 - 2011):

\(P=1200(2)^{0.1038*18}=4382\)

The population of the group in 2019 is 2,134,000 people

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Step-by-step explanation:

At t = 4   bird is at  6 m

at t= 14 bird is at 29 meters

   bird taveled  29 -6 = 23 meters   in 10 seconds

      velocity = 23 m / 10 s = 2.3 m/ s

Answer:

360 degrees

Step-by-step explanation:

Remember that triangles have a sum of 180 degrees, and that quadrilaterals have 360 degrees.

You can either use that part, or actually solve for it.

The equation for the sum of the interior angles is:

\(sum=180(n-2)\)       [which "n" is the number of sides]

So, if we add in the number of sides to the equation, it changes to:

\(180(4-2)=180(2)\), which equals to 360 degrees.

Answer: 8 nickles  11 dimes

Step-by-step explanation:  PLEASE GIVE BRAINLIEST IT HELPS ALOT

Simply count the number of red marbles in each sample and divide by the total number of marbles in the sample (16). Then, take the average of those proportions to estimate the proportion of red marbles in the jar as a whole

Based on the information provided, the best conclusion we can make is an estimate of the proportion of red marbles in the jar. We can use the four random samples of 16 marbles to calculate the proportion of red marbles in each sample, and then take the average of those proportions to estimate the overall proportion of red marbles in the jar.

It's important to note that this estimate may not be perfectly accurate, since the samples are small and may not perfectly represent the entire jar. However, it's a useful way to get an idea of how many red marbles are in the jar without having to count all of them.

To calculate the proportion of red marbles in each sample

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Answer:

412.92

Step-by-step explanation:

\(A = P(1+\frac{r}{n} )^{nt}\)

A: Amount, P: Principal, r: interest, n: no.of times compounded yearly and t: time in years

We have P = 300

r = 4% = 0.04

n = 12 (compounded monthly)

t = 8

\(A = 300(1+\frac{0.04}{12} )^{12*8}\\\\300(\frac{12.04}{12} )^{96}\\\\= 412.92\)

Answer:

X=31

Step-by-step explanation:

X-7+1+5x=180

6x-6=180

6x=180+6

6x=186

x=186÷6

X=31

Answer:

1 cm = 20 km

so 3.5 cm would equal : 3.5 * 20 = 70 km

hope it helps ;)

Step-by-step explanation:

Answer:

x=75

Step-by-step explanation:

Step-by-step explanation:

\(f(\pi) = - 3 \\ f( \frac{\pi}{2} ) = 0 \\ f( - \frac{3\pi}{2} ) = 0\)

Answer: 0.01369863 times per gold

Step-by-step explanation:

convert to a decimal by dividing the numberator by the denominator

Answer:

A 10

Step-by-step explanation:

We can see that there are a total of 3 games that fall into the 51-57 category (games 1, 5, and 8). Therefore, the answer to the question is D. 3 games were in the 51-57 category. The correct option is D.

To solve this problem, we need to first determine which category each game falls into based on the given categories.
Game 1: 51 points - falls into the 51-57 category
Game 2: 70 points - falls into the 72 or more category
Game 3: 63 points - falls into the 58-64 category
Game 4: 59 points - falls into the 58-64 category
Game 5: 56 points - falls into the 51-57 category
Game 6: 75 points - falls into the 72 or more category
Game 7: 60 points - falls into the 58-64 category
Game 8: 55 points - falls into the 51-57 category
Game 9: 67 points - falls into the 65-71 category
Game 10: 64 points - falls into the 58-64 category
Now, we can see that there are a total of 3 games that fall into the 51-57 category (games 1, 5, and 8). Therefore, the answer to the question is D. 3 games were in the 51-57 category.
It's important to note that categorizing the data in this way is helpful for analyzing trends and patterns in the team's scoring over time, but it does not provide a complete picture of the team's performance in each game.

It's also worth considering other factors such as the team's opponents, the location of the game, and any injuries or other circumstances that may have affected the outcome.

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Based on the analysis it will be less expensive to get the new fridge, hence buying the new fridge is worth it.

Given that the current fridge

electricity charges= $60 monthly,

maintenance costs=$ 170

let the number of months be = x

and the total cost is y

the expression for the cost of the old fridge is

y=170+60x       ...say (1)

new fridge

electricity charges=$5

costs= $1140

let the number of months be x,

and the total cost be y'

the expression for the cost of the new fridge is

y'=1140+5x,       ... say(2)

For 10 year , there are 12*10=120 months

put x=120 in both equations,

y=170+60x  

y=170+60*120

y=170+7200

y=$7370

y'=1140+5*120

y'=1140+600

y'=$1740

Based on the analysis it will be less expensive to get the new fridge, hence buying the new fridge is worth it.

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Answer: It would be the first one (20 pens for 8$)

Step-by-step explanation: If you divide 20 by 8 then each pencil will be 2.50$. However if you divide 30 by 10 it will be 3 dollars for each pencil so the first deal will be better since you spend less money.