please help me out in optional maths​

Answer:

Distributive property

Step-by-step explanation:

Here, we want to evaluate the property illustrated

From what we can see, we have that each of the inner values are multiplied by the outside value

This is simply a display of distributivity

We can conclude that we have a right distributive property in place here

Answer:

48a^7 b^5 (I hope I got this right, it has been awhile since I've done equations like these)

Step-by-step explanation:

(-4a^3 b^2)^2 × (3a^2 b)

16a^5 b^4 × 3a^2 b

48a^7 b^5

Answer: ok so i think the answer is 4.2 or 5.2 if im wrong then well sorry

Step-by-step explanation:

Answer:

I think it is B

Step-by-step explanation:

Answer:

Yes i agree

Step-by-step explanation: The equation is there for a reason and if an answer does not fir the equation it can be linear so therefore the equation y=7 is not linear.

Answer:

the answer is 235/655= 0.358778

Answer:

A ratio is a comparison of two numbers. A rate, by contrast, is a comparison of two quantities which can have different units.

Step-by-step explanation:

For example 5 miles per 3 hours is a rate, as is 34 dollars per square foot.

Answer:

Question mark stands for 2d

Step-by-step explanation:

Here, we want to get what the question marks stands for

As we can see, the left was factorized to give the right

So, we have that ;

4d^3 + 6de = 2d(2d^2 + 3e)

so the question mark stands for 2d

Answer:

I know for a fact that it is Devide by nagative 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

the sum of supplementary angles equal to 180

let x=angle

180-x= the other angle

180-x=x-100

2x=280

x=140

the other angle is 40

Answer:

D

Step-by-step explanation:

a^2+b^2=c^2

16+25=41

I'm sorry if I get this wrong, but there isn't enough evidence.

If we think about the shorter side being 4.2 cm, then just divide 33.6 by 4.2 to give it a ratio. 33.6 / 4.2 is 8. The ratio of the scale drawing to the actual playground would be 1 : 8.

The longer side is 10.5, so just multiply that by 8. You'd get 84 meters. The only part left is getting the area.

Multiply 84 x 33.6 and you'd get 2822.4

The answer would be 2,822.4 squared.

Answer:

The answer is below

Step-by-step explanation:

From the image:

∠P + ∠Q = 180° (consecutive angles are supplementary)

78 + ∠Q = 180

∠Q = 180 - 78

∠Q = 102°

∠RQN = 360° - 305° =(sum of angle in a point)

∠RQN = 55°

∠RQN + ∠RQP = 102°

∠RQP = 102 - 55 = 47°

a) Let PR = x

Using cosine rule:

[tex]x^2=600^2+950^2-2(900)(600)cos(47)\\\\x^2=485021.9\\\\x=\sqrt{485021.9} \\\\x=696 \ m[/tex]

Therefore PR = 696 m

b) Let ∠RPQ be A°

Using sine rule:

[tex]\frac{sin(A)}{600} =\frac{sin(47)}{696} \\\\sin(A)=\frac{sin(47)}{696} *600\\\\sin(A)=0.6304\\\\A=sin^{-1}(0.6304)\\\\A=39^0[/tex]

∠RPQ = 39°

Hence the bearing of R from P = ∠NPR = 78° - 39° = 39°

Answer:

4 1/6 cups of almonds left

Step-by-step explanation:

Granola recipe = 2 1/3 cups of almonds

2 1/2 batches of granola = 2 1/3 cups of almonds × 2 1/2

= 2 1/3 × 2 1/2

= 7/3 × 5/2

= (7*5)/(3*2)

= 35/6

= 5 5/6 cups of almonds

A bag of almonds = 2 cups

5 bags of almonds = 10 cups

Cups of almonds left = 10 cups - 35/6 cups

= 60-35/6

= 25/6

= 4 1/6 cups

Answer:

$3701.45. I hope this helps :)

Step-by-step explanation:

Answer:

tetrahedral

Step-by-step explanation:

According to the valence shell electron pair repulsion theory (VSEPR) the shape of a molecule is dependent on the number of electron pairs on the valence shell of the central atom in the molecule.

The predicted electron pair geometry may sometimes differ from the molecular geometry due to the presence of lone pairs and multiple bonds.

If we consider each nitrogen atom in N2 independently, we will notice that each nitrogen atom has four regions of electron density. Hence the electron pair geometry is tetrahedral.

Answer:

1) given

2) alternate interior angles

3) given

4) definition of midpoint

5) vertical angles

6) ASA

Step-by-step explanation:

Answer:

7.3≤x<7.4

Step-by-step explanation:

Answer:

14

reeaADADSDDSSA

Step-by-step explanation:

[answer 1 11/12 or 2.917]

1. 9 5/6 + 1 1/4 =  11 1/12

2. 14 - 11 1/12 = 35/12 then you smiplfy to get  1 11/12 or 2.917

Answer: Yes.

Step-by-step explanation:

You can graph it without being on zero or in an infinite decimal

Answer:

Yes. As long as it is not a decimal or has exponents it will be a function. (I think)

Step-by-step explanation:

Answer:

okokokokokokokokokolkokokok

Answer:

50ml

Step-by-step explanation:

5 + 4 = 9

450ml/9 = 50ml

one share is 50ml

Answer: 4. A

5. C

6. B

Step-by-step explanation:

Answer:

3785 + 259d

Step-by-step explanation:

cost of food booths = 16 * (100 + 9d) = 1600 + 144d

cost of game booths = 23 * (95 + 5d) = 2185 + 115d

total = 1600 + 2185 + 144d + 115d = 3785 + 259d

Answer:

the slope intercept-form of an equation of a line is y=mx+b

Given that the slope is 3 and a point on the line is P(-2, 4), then

m=3 and from the point (-2, 4), x=-2 and y=4.

Step-by-step explanation:

y=mx+b.

4=3(-2)+b   Now solve for b.

4=-6+b

4+6=b

10=b

Now you know b=10 and you already know the slope m=3. Substitute these values into y=mx+b. When you do you will get y=3x+10. This is your answer in slope intercept form.

Given :

60% of dads prefer to watch football on TV.

40% prefer to watch basketball.

To Find :

If 200 dads were surveyed, how many more preferred football to basketball.

Solution :

Number of dad prefer football over basketball is :

[tex]N = 200\times \dfrac{60}{100}\\\\N = 120[/tex]

Therefore, 120 dad's prefer football over basketball.