Numerical pruun
a. Convert the following.
i) 2.4 millimetres into metre
i​

Answer:

y=3x-7

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

y=3x-7

Answer and Step-by-step explanation:

[tex]x^{2} - xy + x^{2} -xy\\\\2x^{2} -2xy[/tex]

This is the answer.

In case your expression is:

[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Solution:

Given the expression

[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Group like terms

[tex]x^2\:-\:xy\:+\:x^2\:-\:xy=x^2+x^2-xy-xy[/tex]

Add similar elements: x²+x² = 2x²

                                  [tex]=2x^2-xy-xy[/tex]

Add similar elements: -xy-xy = -2xy

                                    [tex]=2x^2-2xy[/tex]

Thus,

[tex]x^2-xy+x^2-xy=2x^2-2xy[/tex]

In case your expression is:

[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Solution:

Given the expression

[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Group like terms

[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy=x^2-xy-xy+\left(xx\right)^2[/tex]

Add similar elements: -xy-xy = -2xy

                                       [tex]=x^2-2xy+\left(xx\right)^2[/tex]

as (xx)² = x⁴

so                                      [tex]=x^2-2xy+x^4[/tex]

Therefore, we conclude that:

Answer:

Miami gets 6.12 inches more rainfall.

Step-by-step explanation:

Given that the average rainfall (in inches) in Miami for 5 months are 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68,

So, the total rainfall in Miami in 5 months,

R_M = 1.61 +2.24 +2.99 +3.15 +5.35 + 9.68 = 25.02 inches

and the average rainfall (in inches) in Tampa for 5 months are 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69.

The total rainfall in Tampa in 5 months,

R_T = 2.24 +2.8 +3.03 + 2.05 + 2.09 + 6.69 = 18.9 inches.

The difference between the total rainfall in Miami and Tampa is 25.02-18.9= 6.12 inches.

The total rainfall in Miami is 25.02 inches while the total rainfall in Tampa in the same time period is 18.9 inches.

Therefore, Miami gets 6.12 inches more rainfall during the same time period.

Answer:

B

Step-by-step explanation:

The total change in position is represented by a number with a magnitude of 155 feet.

Hope this helps!

xoxo,

cafeology

Answer:

1

Step-by-step explanation:

the answer to this question is 1, you need to multiply all sides together to get the volume (5/4)(4/3)(3/5) is one

hopefully this is right

Answer:the number is 8

Step-by-step explanation:

Step 1

Let x be the number  13 was subtracted from so  that the difference becomes x-13

i.  dividing  the resulting difference by 5, then  (x-13)/5

ii.  Multiplying  the quotient by 7 makes  the expression become (x-13)/5 x 7

 with the product coming  to -7  we have our final equation as

(x-13)/5 x 7 = -7

Step 2 -----solving  the equation

(x-13)/5 x 7 = -7

Ist  divide  both sides by 7,

(x-13)/5 =-1

cross multiplying gives

x-13=-5

x= -5+ 13

x=8

the number is 8

Answer: [tex]61.9miles/hr[/tex]

Step-by-step explanation:

given data:

distance travelled by the car =  195 miles

time taken = 3 hours and 15mins

solution

average speed of the car

[tex]= \frac{195miles}{3hrs15mins} \\\\= 61.9miles/hr[/tex]

Answer:

The average speed is [tex]v=60 miles/h[/tex]

Step-by-step explanation:

The equation of the average speed os given by:

[tex]v=\frac{\Delta x}{\Delta t}[/tex] (1)

here:

Δx is just 195 miles

Δt is the time traveled. 3.25 h ( 3 h + 15 min or 0.25 h)  

So we just need to put this into the equation (1)

[tex]v=\frac{195}{3.25}[/tex]

Therefore, the average speed is [tex]v=60 miles/h[/tex]

I hope it helps you!

Answer:

y= 3/4x + 6.4

Step-by-step explanation:

If your teacher asks why it's so specific tell them you used desmos <3

Answer:

6.93 lbs.

Step-by-step explanation:

The weight on the moon is approximately 16.5% of what you would weigh on Earth. Using this information, we can say that 16.5% of 42 lbs would equal how much the object would weigh on the moon.

I prefer to convert percentages the decimal way, so let's do it that way. 16.5% is 0.165 as a decimal, so now all we have to do is multiply 0.165 by 42 (since we are saying 16.5% of 42 lbs), and we get 6.93 lbs.

Hope this helps! :)

Answer:  3 necklaces and bracelet sets can be made from the  28 1/3 inches of wire.

Step-by-step explanation:

step 1

LET  I set of necklace and bracelet be represented as ( A bracelet and a necklace)

 if Tominka uses 6 1/9 inches of wire to make a necklace and 3 1/3 of wire to make a bracelet  for a set

Then Total Length of wire that can be used for a set = 6 1/9 inches+ 3 1/3 inches = 9 (1+ 3)/9

= 9 4/9 inches.

Step 2

IF  a set (One necklace and bracelet) can use = 9 4/9 inches

and Total wire used = 28 1/3inches

Then Number of  necklaces and bracelet sets that can be made  from the 28 1/3 inches wire = 28 1/3inches /9 4/9 inches

=85/3 / 85/ 9  = 85/3  x 9/ 85  = ( 85 cancels 85 )

9/3 = 3

 3 necklaces and bracelet sets can be made from the  28 1/3 inches of wire.

Answer:

Line C

Step-by-step explanation:

slope

Answer:line c

Step-by-step explanation:

Answer:

x  y

-4  -18

-2  -10

0  -2

2   6

4   14

Step-by-step explanation:

Answer:

81 cm

Step-by-step explanation:

Length of a room = 12m 15cm

Width of a room = 8 m 91 cm

12 m 15 cm = 1200 cm + 15 cm = 1215 cm

8 m 91 cm = 800 cm + 91 cm = 891 cm

The floor of the room is tobe paved with squared tiles. We need to find the length of the largest tile that can be used.

To find it we can find the HCF of 1215 cm and 891 cm.

Prime factorization of 1215 = 3 x 3 x 3 x 3 x 3 x 5

Prime factorization of 891 = 3 x 3 x 3 x 3 x 11

HCF = 3 x 3 x 3 x 3

= 81

Hence, the length of the largest tile that can be used is 81 cm.

Answer:

4

Step-by-step explanation:

Answer:

It is 4x + 12

Answer:

The distance would be (5,-3)

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal= $450

Number of periods= 8 years

Interest rate= 6%

We will determine the interest earned and future value using simple interest and compound interest:

Simple interest:

I= P*r*t

I= 450*0.06*8= $216

Total Future Value= I + P

Total Future Value= 216 + 450= $666

Compound interest:

I= [P*(1+r)^t] - P

I= [450*(1.06^8)] - 450= $267.23

Total Future Value= P*(1+r)^t

Total Future Value= 450*1.06^8

Total Future Value= $717.23

Answer:

Step-by-step explanation:

6

Answer:

y=3/2x+3

Step-by-step explanation:

Answer:

y=3/2x+3

Step-by-step explanation:

Answer:

y=-2x+5

Step-by-step explanation:

thats the equation because you use the formula, y=mx+b. b is the y intercept (the verticle straight line) and m is the slope. hope this helped!!

Answer:

c=3

Step-by-step explanation:

Answer:

1.5% x 412 = 618?

Step-by-step explanation:

Answer:

103/50

Step-by-step explanation:

Simplify

1/2

100

(412)

Answer:

[tex]m=\frac{13}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-5, 8)

Point (-7, -5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

we will use the equation

(y2-y1)/ (x2-x1)

lets plug in our values

(-5-8)/(-7-(-5)

-13/-2

this answer is your slope value hope this helps

Step-by-step explanation:

Answer

slight

Step-by-step explanation:

But Never zero

Answer:

larry is 19

Step-by-step explanation:

ok, so larry's age is y, his sisters age is x

x + 8 = y

thats the equation for him being 8 years older

now 2y = 3x + 5

his sisters age is 3x + 5 to get larry's age when its doubled

substitute x + 8 in for y

2 (x+8) = 3x + 5

2x + 16 = 3x + 5

16 = x + 5

x = 11

11 + 8 = y

y = 19

Answer:

209.95

Step-by-step explanation:

Answer:

2/7 I Don't know the other one

here you go, hope that helps some