a square has an area of 90cm^2
work out the length of one side of the square
Give your answer to 1 decimal space

Answer:

x=4

Step-by-step explanation:

5x-4=16

5x-4+4=16+4   add 4 to each side

5x=20              simplify

5x/5=20/5       divide each side by 5

x=4                   simplify

Answer:

Step-by-step explanation:

[tex]b) (-8)*\frac{-2}{3}=\frac{(-8)*(-2)}{3}=\frac{16}{3}=5\frac{1}{3}\\\\c) \frac{-18}{3}= -6\\\\d) \frac{18}{-3}=\frac{6}{-1}= -6\\\\e) \frac{-18}{-3}=\frac{18}{3}= 6[/tex]

Answer:

30.4%

Step-by-step explanation:

Given data

originally price $457

new price= $318

Required

The percent mark down

Percent markdown= original- new/original*100

substitute

Percent markdown= 457- 318/457*100

Percent markdown= 139/457*100

Percent markdown=0.304*100

Percent markdown=30.4%

Hence the price was reduced by 30.4%

Step-by-step explanation:

The distance from the surfer to the shoreline will be found as follows:

tan θ= opposite/adjacent

θ=10°

opposite=7ft

adjacent= x ft

substituting the values in our formula and solving for x we get

tan 10=7/x

hence

x=7/tan10

x=39.69897~ 39.7 ft

The surfer is 39.7 ft from the shoreline.

Answer:

The surfer is 39.7 ft from the shoreline.

Step-by-step explanation:

Answer: Number of pizzas out of 4000 that is expected to be pan size

= 4000 * 168 / (326 + 309 + 247 + 168)

= 640

Answer:

for the seniors, the answer is $12, and for the children, the answer is 8.

Step-by-step explanation:

Answer:

4.835(I don't know unit.(m/in/cm)

Step-by-step explanation:

volume=πr^2h

136.78=22÷7×3^2×h

h=136.78×7÷(22×9)=4.835

Answer:

Its nothing complicated, you just have to combine all the like terms, just make sure the lvariables are the same before combining of course.

so assuming the gaps missng are exponents

the solution is the same exact thing

it can’t be simplified anymore since 16q^3 or -48q^2 can’t due to different exponents which thefore can’t combine

same with 32 q, nothing combines

The answer is the original expression

Answer:

(q + r) (m - p)

Explanation:

= -p(q + r) + mq + mr

= -p(q + r) + m(q + r)

= (q + r) (-p + m)

- PNW

Answer:

13-h is h less than 13. this is how you answer this.

Hey there!

Sometimes “less than” means “>” ( a number smaller than the number that’s being compared to) or “subtraction”

So, therefore your answer should be

[h < 13] or [h - 13]

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

three times the two foot wave wuold be the six foot wave

Step-by-step explanation:

because its right

Answer: the answer to this problem is 36 :)

Answer:

Both are 36

Step-by-step explanation:

I just did it

Answer: 8x = 72

Step-by-step explanation:

and in case you need to go any further at any point, x = 9

Answer:

42

Step-by-step explanation:

Answer:

I'm not 100% sure about this but i think its 42

Step-by-step explanation:

this is what i did

32/16=2

2*21=42

Answer:

down below

Step-by-step explanation:

x = y/7 + 61/7

y= 7x - 61

To answer the questions, we need to understand the utility functions and budget constraints for both Joey and Jim. Let's break it down step by step:

Joey's Utility Function and Budget Constraint:

Joey's utility function for whisky (w) and beer (b) is given by: U(w, b) = 5 + (w^0.3 * b^0.7)

w: The quantity of whisky (in bottles) consumed by Joey

b: The quantity of beer (in cans) consumed by Joey

Joey spends £75 in total on drink. The cost of beer is £2 per can, and the cost of whisky is £6 per bottle.

To find how many cans of beer and bottles of whisky Joey consumes, we need to maximize his utility function while staying within his budget constraint.

Joey's Budget Constraint:

Joey's total expenditure on drink (E) is given by: E = 2b + 6w

And we know that E = £75.

So, the budget constraint is: 2b + 6w = 75

Now, we can solve this problem using optimization techniques. However, without specific numerical values for the utility function and budget constraint, it's not possible to determine the exact quantities of beer and whisky consumed by Joey. We can only find the optimal consumption bundle if the specific values are given.

Joey's Indifference Curve and Budget Constraint Diagram:

To illustrate Joey's optimal consumption bundle, we would need to plot his indifference curve (representing his preferences) and his budget constraint (showing all possible affordable combinations of beer and whisky). However, without the exact values, we cannot draw the diagram.

Jim's Utility Function and Consumption:

Jim's utility function for beer (b) and whisky (w) is given by: U(b, w) = min{5, (w^0.3 * b^0.7)}

Jim's utility function shows that he insists on drinking beer and whisky together, and his utility is the minimum of 5 and the product of whisky and beer raised to certain powers.

Again, without specific numerical values for the utility function, we cannot determine the exact quantities of beer and whisky consumed by Jim.

In summary, to fully answer the questions, we would need the specific numerical values for the utility function and the budget constraint. With those values, we could then calculate the optimal consumption bundles for both Joey and Jim.

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Answer:

I think it's B and D

Step-by-step explanation:

Answer:

31 degrees

Step-by-step explanation:

Answer:

31 Degrees

Step-by-step explanation:

Since this is a right angle, it will equal 90 degrees.

Take 90 and subtract 59 to get g.

g = 31 degrees

(-5, -1) is not a solution to the equation 2y = 2x - 4.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

2y = 2x - 4 _____(1)

Ordered pair: (-5, -1)

Now,

(-5, -1) = (x, y)

Substitute in (1)

2y = 2x - 4

2 x (-1) = 2 x (-5) - 4

-2 = -10 - 4

-2 = -14

This is not true.

Thus,

(-5, -1) is not a solution.

Learn more about solutions of equations here:

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Answer:

1.83

Step-by-step explanation:

1.78 + 5 cm

because it says she is taller so you add both

Height of Amy who is 5 cm taller than Jack is 1.83 meters.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Jack is 1.78 m tall and Amy is 5 cm taller than Jack.

Therefore, The sum of the height of Jack and 5 cm more is the height of

Amy.

Therefore,

178 cm + 5 cm = 183 cm is the height of Amy. (1m = 100 cm)

So, 183 cm is equal to 1,83 meters.

learn more about numerical expressions here :

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Answer:

x=266

Step-by-step explanation:

I'm sure if this is correct but this is how I did it seven times eight is 56 and you have to subtract that number by x so x would have to be bigger so it would be 56 minus 266

will give you 210

Answer:

x=-22

Step-by-step explanation:

7(8-x)=210

you would use the distributive property

56-7x=210

then subtract both sides by 56

-7x=154

then divide both sides by -7

x=-22

Answer:

4 by 5 inch rectangle

Step-by-step explanation:

Answer:

4 by 5 inch rectangle

Step-by-step explanation:

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Answer:

The associative property of multiplication

 8 . ( 5. b ) = ( 8. 5) . b

Step-by-step explanation:

Explanation

The associative property of multiplication

 a . ( b. c ) = ( a. b) . c

Given numbers are  8, 5 and b

The associative property of multiplication

 8 . ( 5. b ) = ( 8. 5) . b

 8 . ( 5. b ) = ( 8. 5) . b = 40 b

Answer:

108

Step-by-step explanation:

You are correct for stating one tissue box has a volume for 36.

But notice there are 3 tissue boxes, so in order to find the total volume, you should add them up.

36+36+36=108

Answer:

6*3*2=36 there are 3 boxes so 36*3=108

Step-by-step explanation:

Answer:

2^3*5^2*3

Step-by-step explanation:

600=2*2*2*5*5*3=2^3*5^2*3