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2 years ago

Can someone help me match these too?

Mathematics

1 answer:

Furkat [3]2 years ago

7 0

ANSWER:

A is number 3

B is number 2

Step-by-step explanation:

The left side is A and B (order)

the right side is 1,2,3,4 (order)

explanation: A is number 3 because as said in A the tram already has 5 people which is what we start with a1 = 5 and we add 11 at each stop as shown in the equation.

B is number 2 for the same reason as it started with 2 but added 4 inches of rain each time.

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What do I put next<br> Please help

levacccp [35]

To divide fractions you flip the second one and then multiply the new fractions

9 16 9 5 45
--- ÷ ---- = ---- × ------ = ------
2 5 2 16 32

then simplify

45/32= 1 13/32

I hope I've helped!

4 0

2 years ago

What is the area of the composite figure?

lana [24]

Hello! :)

$\large\boxed{A = 32.5cm^{2}}$

We can use the following area to solve for the area of the trapezoid pictured:

$A = \frac{1}{2}(b_{1} + b_{2})h$

Where:

h = height

b1 = bottom base

b2 = top base

Plug in the given values:

$A = \frac{1}{2}(9 + 4)(5)$

Simplify:

$A = \frac{1}{2}(65)\\\\A = 32.5 cm^{2}$

8 0

2 years ago

Two pairs of statements about Jeff's housing expenditures are given below. How can both pairs of statements be true?

Irina18 [472]

Explanation:

Pair 1 is true if Jeff's monthly income is $600/20% = $3,000.

Pair 2 is true if Jeff's monthly income is $1200/10% = $12,000.

Both pairs can be true if Jeff's monthly income increased by a factor of 4 in the 20 years from 1990 to 2010.

Obviously, Jeff spent more on housing in 2010. (Fortunately for Jeff, that larger expenditure was a smaller fraction of his income.)

5 0

2 years ago

Find equations of the spheres with center(1, −1, 6)that touch the following planes.a) xy-planeb) yz-planec) xz-plane

Misha Larkins [42]

Given :

Center of sphere , C( 1 , -1 , 6 ) .

To Find :

Find equations of the spheres with center (1, −1, 6) that touch the following planes.a) xy-plane b) yz-plane c) xz-plane .

Solution :

Distance of the point from xy-plane is :

d = 6 units .

So , equation of circle with center C and radius 6 units is :

$(x-1)^2+(y-(-1))^2+(z-6)^2=6^2\\\\(x-1)^2+(y+1)^2+(z-6)^2=36$

Distance of point from yz-plane is :

d = 1 unit .

So , equation of circle with center C and radius 1 units is :

$(x-1)^2+(x+1)^2+(z-6)^2=1^2\\\\(x-1)^2+(x+1)^2+(z-6)^2=1$

Distance of point from xz-plane is :

d = 1 unit .

So , equation of circle with center C and radius 1 units is :

$(x-1)^2+(x+1)^2+(z-6)^2=1^2\\\\(x-1)^2+(x+1)^2+(z-6)^2=1$

Hence , this is the required solution .

4 0

2 years ago

Zaid and Matias, two farmers, constructed a 792 foot fence around their very large garden. Zaid agreed to construct 20% more of

likoan [24]

Answer:

$1.2x +x =792$

$2.2x =792$

And we got finally:

$x =\frac{792}{2.2}= 360 ft$

And the amount for Zaid would be 1.2*360 ft= 432ft

So then Zaid construc 432 ft and Matias 360 ft

Step-by-step explanation:

For this case we know that Zaid and Matias, two farmers, constructed a 792 foot fence around their very large garden so then the total is represented by 792 ft

We also know that Zaid agreed to construct 20% more of the fence than Matias did. Let's assume that the amount that construct by Matias was x then the amount constructed by Zaid would be 1.2 x representing 20% more than Matias and we can set up the following equation:

$1.2x +x =792$

$2.2x =792$

And we got finally:

$x =\frac{792}{2.2}= 360 ft$

And the amount for Zaid would be 1.2*360 ft= 432ft

So then Zaid construc 432 ft and Matias 360 ft

7 0

2 years ago