(3 1/4 + 2 5/6) + 1 3/4

​

Answer:

28

Step-by-step explanation:

x = 2 point questions, y = 3 point questions

x + y = 40

2x + 3y = 92

Solving this we get x = 28, y = 12 so the answer is 28.

Answer: 28

Step-by-step explanation:

Let x be the number of 2 mark questions

Let y be the number of 3 mark questions

x+y=40. ---------------(1)

2x+3y=92 ---------------(2)

Solve equation (1) for y

y=40−x

Substitute

y=40−x in equation (2)

2x+3(40−x)=92

2x+120−3x=92

2x−3x=92−120

−x=−28

x=28

Substitute

x=28 in equation (1)

28+y=40

y=40−28=12

Number of 2 mark questions

=28

Number of 3 mark questions

=12

Answer:

AB = 30 inch

BC = 14 inch or BC = 50 inch

Step-by-step explanation:

Make a drawing. Please see the attachment. All measurements are in inches.

Consider the two triangles:

∆ ABC and ∆ AB'C

1. Looking only at ∆ ABC. Since this is not a rectangular triangle, let's first consider ∆ ANC, so we can calculate NC.

AN is the height and there fore is perpendicular to NC and thus also to BC.

In ∆ ANC

AN² + NC² = AC²

We want to calculate NC, so:

NC² = AC² - AN²

Given: AC = 40 and AN = 24

NC² = 40² + 24²

NC² = 1600 + 576

NC² = 1024

NC = +-SQRT(1024)

NC = 32

NC = NB + BC

We want to know BC

BC = NC - NB

Given: NB = BN = 18 and we just calculated NC to be 32 so...

BC = 32 - 18

BC = 14

2. Looking only at ∆ AB'C

AN is the height and there fore is perpendicular to B'C. Let's consider ∆ AB'N, so we can calculate AB'.

AN is the height and there fore is perpendicular to B'N, which means it has an angle of 90° in ∆ AB'N.

In ∆ AB'N

c² = a² + b²

AB'² = AN² + B'N²

Given: AN = 24 and B'N = 18

AB'² = 24² + 18²

AB'² = 576 + 324

AB'² = 900

AB' = +-SQRT(900)

AB' = 30

In ∆ AB'C

with AB' = 30 and AC = 40

c² = a² + b²

B'C² = AB'² + AC²

B'C² = 30² + 40²

B'C² = 900 + 1600

B'C² = 2500

B'C = +-SQRT(2500)

B'C = 50

Now we have our answers.

Extra:

Please look at the picture again, but now concentrate on the indicated 50 and - 50...

I am trying to explain something about the meaning of the outcome of mathematical calculations like:

c² = 2500

c = +- SQRT(2500)

c = 50 or c = - 50

Depending on where you want to start from, you can "move" 50 inch in one direction or 50 inch in the opposite direction, hence the -50 inch. Please let me explain why I am making a fuss...

1). Let's consider ∆ AB'C. Going from B' to C, you "move" -50 inch form B' towards C. This 50 inch is what we calculated earlier, but the we neglected to explain why we discarded the minus value of the SQRT... We just stated it to be only the positive value! Normally we give no meaning to the negative variant of it... Well, is this true in this case?

2). Let's consider ∆ ABC'. Going from B to C', you "move" 50 inch form B towards C'. Please understand that the direction is opposite that of - 50 inch in 1).

It is important to understand that a negative sign means the 180° in the direction of the other way.

In general. When calculating a square side by using the SQRT, you carefully need to consider if you can discard the -

minus value of your calculated outcome.

Not always, but usually there is some sort of meaning to the negative part of the SQRT, you just need to be willing to understand what it possibly could mean.

I hope this has made some sense to you :-).

Answer:

the answer is D

Step-by-step explanation:

Step-by-step explanation:

Simple interest means that it's not added. You would need to multiply 200 and .12, yielding 24. That's the interest. The total he owes is 224, please mark as brainliest

Answer:

45 different outcomes

Step-by-step explanation:

There are 10+15+20 = 45 pens in the bag

Since he is pulling one pen,  and there are 45 different pens in the bag, there are 45 different outcomes

Answer:

45 fsfs

Step-by-step explanation:

i just took a test and got it right

414.48 square feet is needed to make 3 dozen of the covers.

To find the circumference, you multiply the 4 by π, and π is 3.14, and you get  12.56.

The 12.56 is literally the length of the side. The width is the height of the cover which is 10 inches. 12.56 multiplied by 10 is 125.6 square inches.

Step 3: Add them up.

125.6 + 12.56 is 138.16

138.16 multiplied by 36 is 4973.76 square inches.

12 inches is 1 foot so we divide 4973.76 by 12. You get 414.48 square feet.

Answer:

3.14

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi r^2[/tex], where r is the radius. In this circle, the area would therefore be [tex]3.14\cdot 2^2=12.56[/tex]. However, since this is only a quarter circle, you need to divide the area by 4, meaning that the area of this shape is 3.14 square units. Hope this helps!

Answer:

π

Step-by-step explanation:

calculate the the full circle: A = π*[tex]r^{2}[/tex] = π*[tex]2^{2}[/tex] = π*4 (the area of the full circle)

you've got 1/4 or the circle according to the picture, so divide the area of the full circle with 4:

(π*4)/4 = π

Answer:

Answer: upstream: 5.2= (x-y) 5

Downstream: 5.2= (x+y) 2.5

Step-by-step explanation:

The equations for upstream and downstream motion for time [t] seconds are -

5.2 = (x - y) t

AND

5.2 = (x - y) t

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line in point slope form can be also written as-

[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

We have the following problem -

Let x be the speed of Aro's paddling and let y be the speed of the river. Upstream: 5.2 = ( ) Downstream: 5.2 = ( )

We can write the equations for upstream and downstream motion for time [t] seconds as -

Upstream - (Opposing motion)

5.2 = (x - y) t

Downstream - (Supporting motion)

5.2= (x + y) (t/2)

Therefore, the equations for upstream and downstream motion for time [t] seconds are -

5.2 = (x - y) t

AND

5.2 = (x - y) t

To solve more questions on system of equations , visit the link below-

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Answer:

the answer is 183.77

Step-by-step explanation:

if you know the price was 7.99 for each one he bought you work multiply 23 by 7.99 and you get 183.77.

Let's start with part a, finding the maximum and minimum.

Answer a: Max temp is -5 C on day 200.  Min temp is -79 C on day 500.

Sine model.

We're looking for a model

T(n) = A sin( ωn - p ) + o

where T(n) is the estimated temperature on day n, A the amplitude of the variation, omega the radial frequency of variation, p a phase shift and o an offset, the average temperature.

Averaging min and max gives -42 C; that's the offset, what we get when the sine is zero.  o = -42 C.

That's pretty close to the value on day 0 so we'll just use a sine function without any phase shift, p = 0.

Subtracting min from max gives a total span of 74 C degrees, so a sinusoidal amplitude that's half that, A = 37 C.

From max to min is a half period, or about a half period since we're only seeing every 100 days.  That's 300 days, so a full cycle about every 600 days.

We want the argument to sine to go from 0 to 2pi as we complete a single period, 600 days,  So when n=600 this term must be 2π, so it's of the form

ωn = 2 π n / 600.

Putting it all together we get our model:

Answer b: T(n) = 37 sin(2 π n / 600) - 42

We already estimated the period at 600 days.  That's a full year.

Answer c: 600 days

We can see a full period is closer to 700 days (compare day 500 and day 1200, and also day 600 and day 1300) and the phase shift might need adjusting, but I think we pretty much did as they asked so I'll stop here.

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\tan \left(30^{\circ \:}\right)=\frac{\sqrt{3}}{3}[/tex]

[tex]\quad \sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}[/tex]

[tex]=\frac{\sqrt{3}}{3}\times \frac{\sqrt{3}}{2}[/tex]

[tex]=\frac{3}{6}[/tex]

[tex]=\frac{1}{2}[/tex]

Answer:

[tex]1/2[/tex]

Step-by-step explanation:

Tan 30 = [tex]\frac{\sqrt{3} }{3}[/tex]

Sin 60 = [tex]\frac{\sqrt{3} }{2}[/tex]

Multiply the 2 roots you get my answer 1/2

Answer & Step-by-step explanation:

In the problem, we are given an equation. h(t) = -20 + 11t

In the equation, t represents an unknown value. So, if we are given a number that is in the replacement of t, then we can plug that number in to where t is at.

t = 11

h(11) = -20 + 11(11)

h(11) = -20 + 121

h(11) = 101

So, h(11) is equal to 101

Answer:

101

Step-by-step explanation:

h(t)= -20+11t

h(11)= -20+11(11)

h(11)= -20+121

h(11) = 101

Answer:

x = -2,-3

Step-by-step explanation:

Solve the equation by factorizing.

To factorize this equation, you have to find the two numbers that adds up to 5 and multiplies to 6.

This one is obvious, but for others you may use trial and error.

After finding the 2 numbers: 2 and 3.

Present them in this format:

(x+3) ( x+2) = 0

You may check if this is correct using the distribution method.

After this,

you have to solve it individually.

for example:

x+3 = 0

x = -3

x+2 = 0

x = -2.

Thus, x has 2 different values: -3, -2.

You may check this by substituting x with either of these values.

Please mark brainiest

_______________________________

Hey!!

Solution,

Radius(r)= 6 mm

Circumference of circle=?

Now,

Circumference of circle=2 pie r

=2*pi*6

=12 pie

So the answer is 12 pie.

Hope it helps...

Good luck on your assignment

______________________________

The circumference of the circle is 12[tex]\pi[/tex] mm.

The boundary of a circle, i.e. the length of the full arc of a circle is called circumference of circle.

Let, radius of the circle be r

Then, Circumference of circle = [tex]2\pi r[/tex] unit

Given, The radius is 6 mm

∴ Circumference of the circle = [tex]2\pi r[/tex]

                                                  = ([tex]2\pi[/tex]× 6) mm

                                                  = 12[tex]\pi[/tex] mm

Hence, Circumference of the circle = 12[tex]\pi[/tex] mm

Learn more about circumference of circle here :

https://brainly.com/question/164719

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Answer:

D is answer. So if we do -2 * 3 we get -6, -6-4 = -10. Well that doesn't work for a because its 10 not -10. But we have spotted something already. We do have -2 and -10. Those two work we just tested it, but A doesn't work. The only pair that has the -2 and -10 is d. Sorry for bad english, its not native language

Answer:

d

Step-by-step explanation:

Answer:

solo la conosco como ipotenuza

Step-by-step explanation:

Answer:

flank right-angled triangle right triangle

Step-by-step explanation:

Answer: 5/9

Step-by-step explanation:

Because you are looking for the ratio of BOYS to GIRLS you put those numbers in that order so it would be 10boys/18girls simplified that is 5/9

Answer:

Haaave youuu ever seen a troll

digging a hole

down by the bay?

Step-by-step explanation:

May I have brainliest please? :)

Answer:

see below

Step-by-step explanation:

The smallest size has area b^2

A = s^2

A= b^2 = 24^2 =576 m^2

The middle size has area a^2

1024 = a^2

Take the square root of each side

sqrt(1024) =sqrt(a^2)

32 = a

The side length is 32 m

To find the side length of the largest pasture use the pythagorean theorem

a^2 + b^2 = c^2

32^2 + 24^2= c^2

1024+576 = c^2

1600 = c^2

Taking the square root of each side

sqrt(1600) = sqrt(c^2)

40 = c

The side length is 40 m

The area is 1600 m^2

It is fair since the areas are the same.1600 m^2 = 1600 m^2

Answer:  

1

Step-by-step explanation:

8-1,2,4.....

25-1,5...

a

because it has the highest values from all the options from all the above

Answer: THE ANSWER IS -1/36

Step by step: Find the LCD then combine

The answer is : -1/36

You forgot the 1 for 18 in the last question lol

Hope this helps, pls mark as brainliest :))))

Answer:

Step-by-step explanation:

Slope of a line is defined as the change in the component of the y- axis to its x axis as shown;

slope = Δy/Δx = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the graph, y2 = 0, y1 = 4000, x2 = 10, x1 = 0

slope = [tex]\frac{0-4000}{10-0}[/tex]

[tex]slope = \frac{-4000}{10}\\ slope = -400[/tex]

The slope of the line is a negative slope and it is -400

Answer: A. -400

Step-by-step explanation:

just had this and got in correct

Answer:

Chris' initial investment is $5000. The interest rate is 2% quarterly for 4 years.

Step-by-step explanation:

Answer:

To solve this problem, we need to write each number in two different ways, we could use percetanges or fractions.

This number can be written in scientific notation like [tex]4 \times 10^{7}[/tex], where the exponent depends on the amount of zeros the quantity has.

A second way to write this number would be as a product [tex]2 \times 20,000,000.00[/tex].

Similarly, this number can be written in scientific notation [tex]2 \times 10^{-2}[/tex], also, we can write it as a fraction [tex]\frac{2}{100}[/tex].

This number in scientific notation would be [tex]1.05 \times 10^{8}[/tex]. As a product would be

[tex]1050 \times 100000[/tex].

In scientific notation would be [tex]7 \times 10^{-9}[/tex]. As a fraction would be [tex]\frac{7}{1000000000}[/tex].

In scientific notation would be [tex]4.56983 \times 10^{5}[/tex]. Also, we can write it as a sum

[tex]450,000 + 6,983[/tex]

In scientific notation would be [tex]6.73 \times 10^{-7}[/tex]. As a fraction would be [tex]\frac{673}{1000000000}[/tex]

Answer:

[tex]1[/tex]

Step-by-step explanation:

[tex]\frac{5\sqrt{3}+3\sqrt{5} }{5\sqrt{3}+3\sqrt{5} }[/tex]

[tex]=1[/tex]

Answer:

Step-by-step explanation:

5x - 4 - (4x + 1)

5x - 4 - 4x - 1

x - 5

Answer: 480 ml

The greatest amount of fizzy drink can he make is 480 ml

Step-by-step explanation:

Given;

Mixing ratio = 5 : 3

Volume of lime juice = 300ml

Volume of lemonade = 200ml

From the given ratio;

5 ml of lemon juice needs 3 ml of lemonade to make 8 ml of fizzy drink.

Assuming all the lemon juice were used;

For 300ml of lemon juice,

It'll require 300/5 × 3 ml of lemonade.

Volume of lemonade needed V2= 300/5 × 3 = 180 ml

Volume of fizzy drink = volume of lemon juice + volume of lemonade

Volume of fizzy drink = 300ml + 180ml = 480ml

The greatest amount of fizzy drink can he make is 480 ml

Pls mark brainliest,thankyou.

Answer:

b

Step-by-step explanation:

Answer:

reflect over line b

counterclockwise rotation about P by 180 degrees

Step-by-step explanation:

reflecting over b will put it in the same place bc b goes down the middle of the rectangle

if you rotate it counterclockwise around p by 180 degrees it would flip it upside down but that doesn't really matter because the length on the top and bottom are equal

Answer:

I would check:

reflect over line b  and check

counterclockwise rotation about P by 180 degrees

Step-by-step explanation:

First of all, b is a horizontal line going through the middle. If you reflect across it you will get the same rectangle just backwards but exactly the same position.

If you rotate 180, then you will get the exact same shape just upsides down.

Thanks and please give brainliest have a nice day :)