Which is the better buy?
8-kilogram bag of rice for $26.04
9-kilogram bag of rice for $29.15

Answer:

The length of the sloping section of the ramp is 20.12 m

Step-by-step explanation:

Given;

the total height of the bank, h = 2.8 m

The slope of the ramp must be 8° to the horizontal, i.e, θ = 8°

Let the length of the sloping section = L

let the horizontal distance between the height of the bank and sloping section = b

Thus, h, L and b forms three sides of a right angled-triangle, with L as the hypotenuse side, h  (height of the triangle) as the opposite side and b  (base of the triangle) as the adjacent side.

We determine L by applying the following formula;

Sinθ = opposite / hypotenuse

Sin θ = h / L

L = h / Sin θ

L = 2.8 / Sin 8

L = 2.8 / 0.13917

L = 20.12 m

Therefore, the length of the sloping section of the ramp is 20.12 m

Answer:

45.88%

Step-by-step explanation:

We have in this case a binomial distribution when p = 0.25, since the probability is 25%

. The formula that we will use in excel is BINOM.DIST, separated by commas we must put the value of x, n, p and also if it is true or false. We know that n equals 32.

In this case we need to know when x = 7, 8 and 9 and add this, and thus we will obtain the probability:

P (X = 7) + P (X = 8) + P (X = 9)

Excel formulas: = BINOM.DIST (7,32,0.25, FALSE) + BINOM.DIST (8,32,0.25, FALSE) + BINOM.DIST (9,32,0.25, FALSE)

P = 0.1546 + 0.1610 + 0.1431

P = 0.4588

Probability that steve agrees with the company's claim 45.88%

Answer:

452.39 sq.unit is the area of that circle.

Answer:

I think its a trapezium

area of trapezium= 1/2×(sum of parallel sides) ×height

1×(28+26)×18

2

1/2×54×18

54×9

= 586 km²

hope it helps

Answer:

The answer is C.

Step-by-step explanation:

You can't have a negative number of peas or carrots, so A and B are out. 1

00+250=350 which is more than 300.

150+145 = 295 which is less than 300.

So the answer is C.

The solutions of an equation are the true values of the equation.

The only viable solution is (c) (150, 145)

Let x represent peas and y represents carrots.

So, the constraints are:

[tex]\mathbf{x , y \ge 0}[/tex] ---- i.e. the values of x and y cannot be 0

[tex]\mathbf{x + y \le 300}[/tex] ---- i.e. the sum of x and y cannot exceed 300

[tex]\mathbf{x , y \ge 0}[/tex]  means that options (a) and (b) are wrong.

This is so, because:

(-25, 100) and (380, -160) contain negative values of x or y

[tex]\mathbf{x + y \le 300}[/tex] means that option (d) is wrong.

This is so, because:

The sum of (100, 250) exceeds 300

Hence, the only viable solution is (c) (150, 145)

Read more about viable solutions at:

https://brainly.com/question/16057582

Answer:

um what's your math on??

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

[tex]\frac{97}{8}[/tex]

Answer:

75 Dragons

Step-by-step explanation:

We know that the ratio is 5 dragons and 4 knights.

Now, there are 60 knights, meaning the original number of knights (4), was multiplied by 15. So, if one side is multiplied by 15, the other side must follow the same rule. So, 15 x 5 = 75.

There are 75 Dragons.

Answer:

75

Step-by-step explanation:

thats a lot of flipping dragons, you better hope they are the size of a dog or youre flipping dead

Answer:

x=2

Step-by-step explanation:

DE=4x+2, EF=3x, and DF=16

DE=4(2)+2, EF=3(2), and DF=16

DE=10, EF=6, and DF=16

Answer:

The watch is cheaper in Geneva, Switzerland by a value of £20

Step-by-step explanation:

To get the city in which the watch is cheaper, what we need to do is to express the price of the watch in the same currency.

Since pounds is also used in the b part of the question, it would be easier working with it.

In Geneva, the price of the watch is 193.75 CHF

from our conversion formula;

£1 = 1.55 CHF

£x = 193.75 CHF

We cross multiply to get the value of x

(193.75 * 1)/1.55

= 193.75/1.55 = £125

We can see that the watch costs less in Geneva and higher in Manchester

By how much is it cheaper?

We can calculate this by subtracting the value in Geneva from the value in Manchester

That would be 145-125 = £20 cheaper

Answer:

The answer would be 10 cups

Step-by-step explanation:

Answer:

y = -x -3

Step-by-step explanation:

Slope intercept form is in the form y= mx+b where m is the slope and b is the y intercept

Plug in the values from the problem

Answer:

Exact form:

130/21

Decimal form:

6.190476 (repeating decimal)

Mixed number form:

6 4/21

Answer:

25

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97,

Answer:

25

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

Answer:

The addition expression to represent the situation is $143 + ( - $40 ) + ( $92)

Sum is $195

Step-by-step explanation:

Given: Olivia has $143 in the bank. She withdraws $40. Then she deposits $92

To find:  addition expression to represent the given situation. Also, to find the sum

Solution:

Amount in the bank = $143

Amount withdrawn from the bank is denoted by the minus sign

So, amount withdrawn from the bank = - $40

Amount deposited in the bank is denoted by the plus sign

So, amount deposited in the bank = +$92

Therefore,

the addition expression to represent the situation is $143 + ( - $40 ) + ( $92 )

Also,

$143 + ( - $40 ) + ( $92 ) = $143 - $40 + $92 = $195

Answer:

In an isosceles triangle the base angles are congruent, meaning that the "missing" angle is also a. This means that 40 + a + a = 180 because the sum of angles in a triangle is 180.

40 + a + a = 180

40 + 2a = 180

2a = 140

a = 70°

Answer:

Step-by-step explanation:

AL is congruent to EK, and angle K is congruent to angle L. The only other congruency not marked but you know to be true is that, by the reflexive property, side AE is congruent to side AE. But that would give us a congruency statement SSA which is not actually a way to prove triangle congruency (you'll learn why if you take pre-calculus). So none of the choices work for what you're given.

Answer:

x = 11

Step-by-step explanation:

(-x + 11)(x + 3)= 0

-x + 1 1 = 0 or x+3 = 0

-x = -11 or x = -3

x=11 or x=-3 (rejected cos negative)

Answer:

Step-by-step explanation:

(3-7)/(-2+1)= -4/-1= 4

y - 7 = 4(x + 1)

y - 7 = 4x + 4

y = 4x + 11

Answer:

128

Step-by-step explanation:

Answer:

I think its C: 102

Step-by-step explanation:

78 + x = 180

180-78 = 102

Answer:

$150

Step-by-step explanation:

5+10+30+100+5=150

10

Step-by-step explanation:

The way I look at it I think 10.00 cause it says I had in the beginning k and it says what people gave me and at the end it says what I had as well so I had 5.00 in the beginning and then I had another 5.00 so that makes it 10.00 in all realatly really let me know if I'm right as it's the only thing that makes since with it all..... lol so the answer is 10.00.... so if it would of said how much do I have all together then it would be what my granddaughter said but it didn't. It's a tricky question here and a good one to get people thinking on it haaa haaa

Answer: 0.4m

Step-by-step explanation:

From the question, photographer takes a picture of a train travelling at the speed of 40m/s and the camera takes 0.01sec to take picture. We want to know the distance that the train travelled in this time.

Distance = speed × time

Distance = 40m/s × 0.01s

= 0.4m

the answer is 2.

when u solve 4-4x+ x^2

you will get your answer 2..

Answer:

Step-by-step explanation:

a x 0.1 = 15

.1a = 15

a = 15/0.1

a = 150

Answer:

The answer is 150

Step-by-step explanation:

You would have to mutiply 0.1, 150 times. Then you would get 15.

Hope this helps

brainliest if correct :)

Answer:

First, converting R percent to r a decimal

r = R/100 = 5.5%/100 = 0.055 per year.

Putting time into years for simplicity,

6 months / 12 months/year = 0.5 years.

Solving our equation:

A = 200(1 + (0.055 × 0.5)) = 205.5

A = $205.50

Step-by-step explanation:

Answer:

[tex]v=\sqrt{\frac{2KE}{m} }[/tex]

Step-by-step explanation:

[tex]KE = 1/2mv^2[/tex]

[tex]KE/1/2=mv^2[/tex]

[tex]2KE=mv^2[/tex]

[tex]2KE/m=v^2[/tex]

[tex]\sqrt{2KE/m} =v[/tex]

Divide total miles driven by number of gallons of gas used.

243 miles / 9 gallons = 27 miles per gallon

324 miles / 12 gallons = 27 miles per gallon.

She can drive 27 miles on one gallon of gas.

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the answer which you have done is correct !