How many solutions does this system have
2x+y=3
6x=9-3y
one none infinite two

Answers

Answer 1

Answer: Hello,
(1)=>2x+y=3
(2)=>2x+y=3
==> infinite solutions
answer C

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Is 7 weeks less or greater than 52 days

Answers

Hey there! :) So 7 weeks = 49 days, right? In order to get 49, you do 7(weeks) x 7(days per week) and get 49. Now, we compare. 49 < 52. 52 is greater.

Hope it helps! :D Have a great evening!

A square pyramid has a base with side lengths each measuring 40 inches. The pyramid is 21 inches tall, with a slant height of 29 inches

Answers

For solving of the area of a square pyramid, we can use the formula below:
A=a²+2a sqrt (a²/4 +h²)
where s for the slant height, r for the a/2, where a is the side length and h for the height
Substitute the values,
A=40²+(2*40) SQRT (40²/4 +21²)
A=3920
The answer is 3920 for the area of the square pyramid.

Answer with explanation:

Base of Pyramid which is in the shape of square ,having length of each side =40 inches

Height of pyramid = 21 inches

Slant height = 29 inches

Surface area of Square Pyramid

= Area of four Triangular faces +Area of Square base

Relation between Slant height (S), Length of base (B) and Height (H) of pyramid

$S=(√(B^2+4H^2))/(2)$

$29^2=\sqrt{(40^2)/(4)+21^2}$

So,this is a Square pyramid.

Surface area of Pyramid

$=B*(B+2 S)\n\n=B *(B+√(B^2+4H^2))\n\n=40 *(40+√(40^2+4* 21^2))\n\n=40 *(40+√(3364))\n\n=40 *(40+58)\n\n=40 * 98\n\n=3920$ square inches

Volume of Pyramid

$=(1* a^2* H)/(3)\n\n=(40^2 * 21)/(3)\n\n=1600 * 7\n\n=11200$ cubic inches

Find the unit rate for each relationship below. Include units.
320 miles in 6 hours

Answers

Answer:

53 1/3 mph.

I divided 320 by 6 and got this answer.

Final answer:

This solution represents a unit rate problem in Mathematics. The problem is finding how many miles are covered in one hour when 320 miles are covered in 6 hours. The answer, calculated by dividing the distance (320 miles) by the time (6 hours), is around 53.33 miles/hour.

Explanation:

The question is asking you to find the unit rate for the relationship given, which is 320 miles in 6 hours. A unit rate tells you how many of the first quantity correspond to one unit of the second quantity. In this case, to find the unit rate, we need to find out how many miles are covered in one hour.

To do this, we divide the total distance by the total time. So, 320 miles/6 hours = 53.33 miles/hour. This means that for every hour, approximately 53.33 miles are being covered. This is your unit rate for this relationship.

Learn more about Unit Rate here:

brainly.com/question/11258929

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Can someone put this equation in standard form for me? y-3=1/5(x-3)

Standard form : Ax+By=C

Answers

Answer:

-x + 5y = 12

Step-by-step explanation:

Eliminate the fractional coefficient by multiplying both sides by 5:

5y - 15 = x - 3

Combine the constants: 5y = x + 12

Subtract x from both sides: -x + 5y = 12 This is in standard form

Given the trinomial, what is the value of the coefficient 'B' in the factored form?2x2 − 12xy − 32y2 = 2(x − 8y)(x + By)

B= ____________

Numerical Answers Expected!

Answers

B is related to the last term of trinomial

Last term on the left hand side of the equation = Last term on the right hand side of the equation.

The last term on the right hand side is gotten by multiplying all the terms on the right of the two expression.

-32y²= 2*-8y*By

-32y² = -16By² Compare both

32 = 16B

16B = 32

B = 32/16

B = 2.

Answer:

Step-by-step explanation:

Jade normally leaves work at 5:00 pm, but she is leaving work 10 minutes late today. She decides to make up time by taking the toll road instead of side streets. She can travel two times faster by taking the toll road. Create an equation in terms of x to represent the number of minutes after 5:00 pm she arrives home from work if she leaves late. Let x represent the number of minutes her normal commute takes when she leaves on time.