Of all 840 sixth grade students in a math school, 700 participated in the math Olympiad. Of all 910 fifth grade students, 745 participated in it.From which grade did more students participate in the Olympiad?

When a shape is rotated, it must be rotated through a point.

The rotation from [tex]ABCD[/tex] to [tex]A'B'C'D'[/tex] is (d) [tex]90^o[/tex]

To determine the angle of rotation from [tex]ABCD[/tex] to [tex]A'B'C'D'[/tex], we use the following steps

See attachment for illustration.

From the attached image;

Hence, the angle of rotation is D: 90

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Answer:

k=13

Step-by-step explanation:

19 + 12k = –k − 20

19+20=39=13k

k=13

Answer: -3

Step-by-step explanation:

Let's solve your equation step-by-step.

19+12k=−k−20

Step 1: Simplify both sides of the equation.

19+12k=−k−20

19+12k=−k+−20

12k+19=−k−20

Step 2: Add k to both sides.

12k+19+k=−k−20+k

13k+19=−20

Step 3: Subtract 19 from both sides.

13k+19−19=−20−19

13k=−39

Step 4: Divide both sides by 13.

13k /13 =  −39/13

Answer:

You are using CAH which is adjacent/hypotenuse

Step-by-step explanation:

1.7101007166283435 is your answer

Answer:

1.710

Step-by-step explanation:

It got deleted before, idk why, but you are using CAH, so adjacent over hypotenuse. You would have to multiply cos(70) by 5 to get the answer.

Answer:

the third one

Step-by-step explanation:

the hypotenuse cannot be gotten by subtracting the two shorter sides

Answer:

1/4

Step-by-step explanation:

Since on this spinner, there are 2 odd numbers, 2 even numbers, and 4 numbers in total, for the both spins there is a 1/2 probability that you land on the desired outcome. 1/2*1/2=1/4. Hope this helps!

Answer:

The answer is 24

Step-by-step explanation:

Add 18, 20, 24, 26, 32= 120

then divide by 5.

Answer:

3

Step-by-step explanation:

3

Answer:

8 40/7 - 5 40/7 = (56 + 40)/7 - (35 + 40)/7 = 96/7 - 75/7 = 21/7 = 3

Hope this helps!

:)

Answer:

8 40/7 - 5 40/7 = (56 + 40)/7 - (35 + 40)/7 = 96/7 - 75/7 = 21/7 = 3

Hope this helps!

:)

Step-by-step explanation:

Answer:

The answer is 1/3

Step-by-step explanation:

Since there are 3 planes that arrive in a random order, there is a 1 in 3 chance that the plane from Chicago will arrive first. Hope this helps!

Answer:

-20

Step-by-step explanation:

Answer:

[tex] - 20[/tex]

Step-by-step explanation:

[tex] (+ 34) + ( - 48) + ( - 32) + ( +26) \\ 34 - 48 - 32 + 26 \\ = (- 20) [/tex]

Answer:

3484m

Step-by-step explanation:

Perimeter of a rectangle= 2(L+B) where L= Length and B= Breadth

Length of the plot= 1215m

Breadth= 527m

∴ Perimeter of the plot= 2(1215m+527m)

                                       = 2(1742m)

                                       = 3484m

Hope this helps!!!

Answer:

Yup he can make 7 rice balls

Step-by-step explanation:

If he has 700 grams of rice and he only needs 100 grams welp that's 700/100

first you can take the zeros off so it turns into 7/1 and anything devided by it's self is itsself

So 7/1 is 7

Justin can make 7 rice balls if he has 700 grams of rice because he can make 1 rice ball using 100 grams.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

Justin's rice ball recipe uses 100 grams of rice to make 1 rice ball.

The ratio of the quantity of the rice to rice ball:

100:1

Multiply the above ratio by 7

700:7

Thus, Justin can make 7 rice balls if he has 700 grams of rice because he can make 1 rice ball using 100 grams.

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Answer: y= 1x - 6

Step-by-step explanation:

(6,0)   (-1,-7)

0-(-7)= 7

6-(-1)= 7

7/7= 1  so the slope is 1 and we just need to find the y-intercept and we will do that by using the formula y= mx +b

-7= 1(-1) + b

-7= -1 + b

+1   + 1

b= -6    so the y-intercept is -6.

Answer:

y= 1x - 6

Step-by-step explanation:

just got it right!!: )

Answer:

El total de líquido utilizado es [tex]\frac{5}{6} de litro[/tex]. Se echa [tex]\frac{1}{6}[/tex] de litro más de leche que de jugo

Step-by-step explanation:

Para saber la cantidad total de líquido, basta con sumar las cantidades de leche y de jugo de naranja. Vamos a asumir que usa 1/3 de litro de jugo de naranja.

En este caso el total de líquido es 1/2 litro + 1/3 litro. Dado que estas fracciones tienen distinta denominador, debemos sumarlas de la siguiente manera

[tex] \frac{1}{2}+\frac{1}{3} = \frac{1\cdot 3 + 2\cdot 1}{2\cdot 3} = \frac{5}{6}[/tex]

Para calcular la cantidad extra de leche de más que la cantidad de jugo, restamos estos números. Es decir

[tex] \frac{1}{2}-\frac{1}{3} = \frac{1\cdot 3 - 2\cdot 1 }{2\cdot 3} = \frac{1}{6}[/tex]

Es decir, que echamos [tex]\frac{1}{6}[/tex] de litro más de leche que de jugo.

Answer:

40 m

Step-by-step explanation:

First we have to find the width. the width is 3 less than the length, which is 8... so the width is 5. Area is found by multiplyign length times width to get 40 m.

If the width of the deck is 3 m less that the length. The length is 8m. then the area to be waterproofed is 40 m²

A rectangle is a quadrilateral with four right angles

The area of Rectangle is length times of width.

Given that Ms. Luna is waterproofing the top of a rectangular wood deck.

The width of the deck is 3 m less that the length.

Width=Length-3

Length=8

Area of rectangle=Length×Width

=Length×(Length-3)

=8×(8-3)

=8×5

=40 m²

Hence, If the width of the deck is 3 m less that the length. The length is 8m. then the area to be waterproofed is 40 m²

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Answer:

- Mr Cash's company business shows the maximum profit in 3 years after starting the business.

- The maximum profit = 23 thousand dollars = $23,000

- Anytime beyond 5.77 years will be too late to sell the business as the profit margins have entered negative values.

Step-by-step explanation:

Complete Correct Question

The profits of Mr. Cash’s company is represented by the equation

p(t)=-3t^2+18t-4,

where p(t) is the amount of profit in hundreds of thousands of dollars and t is the number of years of operation. He realizes his company is on the down turn and wishes to sell before he ends up in debt.

In what year of operation does Mr. Cash’s business show maximum profit? What is the maximum profit? What time will it be too late to sell business?

Solution

The profit function is given as

p(t) = -3t² + 18t - 4

p(t) = profit in thousand of dollars

t = time in years.

To find the year where the maximum profit is obtained, we use differentiation analysis to obtain the maximum of the profit function and the corresponding time where it occurs.

At the maximum of the profit function,

(dp/dt) = 0 and (d²p/dt²) < 0

p(t) = -3t² + 18t - 4

(dp/dt) = -6t + 18

At maximum profit

(dp/dt) = -6t + 18 = 0

6t = 18

t = (18/6) = 3 years.

(d²p/dt²) = -6 < 0

Hence, this value of t corresponds to the maximum value of the profit function.

The maximum profit is then obtained when t = 3

p(t) = -3t² + 18t - 4

p(3) = -3(3²) + 18(3) - 4 = 23 thousand dollars

The business will be late to sell when the profits from the business start to run into negative values. So, we obtain the time when the profit margins reaches 0.

p(t) = -3t² + 18t - 4 = 0

-3t² + 18t - 4 = 0

Solving the quadratic equation

t = 0.23 years or t = 5.77 years

Since the profits first start rising from the value at t=0 up till the maximum profit at t=3, 0.23 years isn't a realistic point to sell the business as this is part of the onset of profits, but beyond 5.77 years on the other hand represents when the business stops to bringing in profits and leads to losses.

Hope this Helps!!!

Answer:

spring tides

Step-by-step explanation:

spring tides occur twice a month to produce an extra-high tidal bulge and extra-low tidal dip

Answer:

142.9

Step-by-step explanation:

litres of milk

30/100=x/125

10x=375

x=37.5

14% of milk

14/100=x/125+y

1750+14y=100x

1750=100x–14y

1750=100(37.5)–14y

1750=3750–14y

y=2000/14=142.9

Answer: 2.26 * 10^4

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

[tex]\frac{1}{4} x - \frac{1}{8} = \frac{7}{8} + \frac{1}{2} x[/tex]

first group the like terms

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

as 1/8 plus 7/8 = 1

then add the x's together

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

and finally

x = -4

Answer:

Ans 2

Step by step explanation :

2 X 1 = 2

Answer:

this is merely the Pythagorean Theorem. so we would do (2^2+1^2)^.5 = 2.236 = square root of 5 = answer B!!!

Answer: i will put the answer as a comment but what are you rounding to

Step-by-step explanation:

Answer:

Depends on what you're round to. Read below.

Step-by-step explanation:

To the 100,000 place:

100,000

To the 10,000 place:

110,000

To the 1,000 place:

107,000

To the 100 place:

106,500

To the 10 place:

106,510

To the 1 place:

106,513

Answer:

It is not

Step-by-step explanation:

Explanation:

Using a calculator, we find that

sqrt(1815) = 42.6028168082816

which is not a whole number. The decimal numbers go on forever without any known pattern. Therefore, this number is irrational. This means it is not rational.

Answer:

5020000000000.

Step-by-step explanation:

5.02×10^2 is in scientific notation so we must convert it to standard form getting that answer.

Answer:

the square root of 300 is 17. 32

Step-by-step explanation:

[tex] \sqrt{300} =17.32 \times 17.32[/tex]

Answer:

17.32

Step-by-step explanation:

step by step

Answer:

The calculation that would increase 275 by 10%:

275 x ( 1 + 10%) = 275 x (1 + 10/100) = 275 x 110/100 = 302.5

Hope this helps!

:)

Answer:

Option (1).

Step-by-step explanation:

Dimensions of two triangles have been given as 3.6, 5.4, 6 units and 3, 4.5, 5 units.

If triangle one is dilated to form triangle two, then the ratio of the sides will be

Ratio = [tex]\frac{\text{Side of triangle (1)}}{\text{Corresponding side of triangle (2)}}[/tex]

         = [tex]\frac{3.6}{3}[/tex]

Similarly, ratio of other two sides will be = [tex]\frac{5.4}{4.5}[/tex] and [tex]\frac{6}{5}[/tex]

Since the triangle (1) was dilated to form triangle (2), so both triangles will be similar and the ratios of their corresponding sides will be equal.

Therefore, Ratios of the sides = [tex]\frac{3.6}{3}=\frac{5.4}{4.5}=\frac{6}{5}[/tex]

Option (1) will be the answer.

Answer:

StartFraction 3.6 Over 3 EndFraction = StartFraction 5.4 Over 4.5 EndFraction = StartFraction 6 Over 5 EndFraction

Answer:

yes, because if you input 5 for x it would be -8

and if u input -9 for y it is right as -8 is closer to 0 than -9

I'll go slow:

[tex]2\sqrt 7 - \sqrt{28}[/tex]

[tex]=2 \sqrt 7 - \sqrt{4 \cdot 7}[/tex]

[tex]=2 \sqrt 7 - \sqrt{4} \cdot \sqrt{7}[/tex]

[tex]=2 \sqrt7 - 2 \sqrt 7[/tex]

[tex]=0[/tex]

Answer: B  rational and equal to 0.