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3 years ago

12

For each set of measurements, decide whether or not it is possible to draw a triangle with these measurements. Side lengths: 2 c

m, 3 cm, and 6 cm.Please hurry!

1 answer:

Anton [14]3 years ago

8 0

Answer:

It is not possible to make a triangle with these dimensions. Hope this helps!

Step-by-step explanation:

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Simplify by Distributing and then Combining Like Terms (C.L.T.): 4(2m+5n)−3(m−7n)

MaRussiya [10]

Answer:

5m+41n

Step-by-step explanation:

4(2m+5n)-3(m-7n)

8m+20n-3m+21n

8m-3m+20n+21n

5m+20n+21n

5m+41n

Please mark me as Brainliest if you're satisfied with the answer.

5 0

3 years ago

A solution of a system of linear equations<br><br> x - y = 5<br> - 3 x + y = - 1

Vanyuwa [196]

Answer:

one solution : (-2 ; -7)

Step-by-step explanation:

hello :

x - y = 5 ....(*)

- 3 x + y = - 1 ....(**)

by (*) : y=x-5

by(**) : y = 3x-1

3x-1 = x -5

3x-x=-5+1

2x= -4

x= -2

but : y = x-5 so : y= -2-5=-7

one solution : (-2 ; -7)

8 0

3 years ago

You are riding your bicycle to prepare for a race. it takes you 12 minutes to go 2.5 miles. what was your speed in miles per hou

kolbaska11 [484]

Answer:

12.5 miles per hour.

Step-by-step explanation:

There are 60 minutes in 1 hour so:

12 minutes = 12/60 = 1/5 of an hour.

So his speed in mph

= distance in miles / time in hours

= 2.5 / 1/5

= 2.5 * 5

= 12.5 miles per hour.

7 0

3 years ago

Spring flowering bulbs are on sale at austin's garden shop. Travis and sydney want to buy equal amounts of all four kinds. What

zysi [14]

Answer:

60

Step-by-step explanation:

The problem will be solved by looking for the least common multiple (LCM) of the amounts of all four kinds since they want equal amounts of each.

LCM is defined as the smallest positive integer that is divisible by each of the integers (spring flowering bulbs in this case) involved in the operation.

therefore, we are looking for the LCM of the following integers:

Crocus: 6

Tulip: 4

Daffodil: 3

Hyacinth: 5

The first step to calculate the LCM is to factor each integer (to break it up into numbers that can be multiplied together to get the original number) and express them in terms of powers:

Crocus: 6=2*3

Tulip: 4=2*2= $2^{2}$

Daffodil 3 = 3 (prime numbers only have themselves as factors)

Hyacinth 5=5 (prime numbers only have themselves as factors)

Now, To calculate the LCM we need to multiply all factors we have found ( in this case 2, 3, and 5) but only once and with the maximum power.

$LCM=2^{2} *3*5=4*3*5=60$

This means the least number of each spring flowering bulbs that they can buy to buy equal amounts is 60.

Now this will cost:

Crocus: $\frac{60}{6}*1.65 =10*1.65=16.5$

Tulip: $\frac{60}{4}*3.50 =15*3.50=52.5$

Daffodil: $\frac{60}{3}*1.95 =20*1.95=39$

Hyacinth: $\frac{60}{5}*2.25 =12*2.25=27$

5 0

3 years ago

a bookstore took in$ 167 on the sale of 5 copies of a new cookbook and 3 copies of a new novel the next day it took in $ 89 on t

PSYCHO15rus [73]

I am going to use C to represent cookbook and N to represent N. I find that easier to remember which is which.

Day 1: 5C + 3N = 167

Day 2: 3C + 1N = 89

We need to solve one of these equation for either the C or N. I always choose the easiest one! Day 2 looks like the one.

3C + 1N = 89 (I am doing to solve for N because we won't have a fraction)

1N=89-3C

N=89-3C

Now we take this solution for N and put it into our first equation.

5C + 3(89-3C) = 167 (We need to distribute)

5C + 267 - 9C = 167 (Use subtraction to move C values to the right and numbers to the left)

267-167 = 9C-5C

100 = 4C

25 = C $25 for the Cookbooks.

Now, we have to go back and solve for N by putting $25 in for C in the second equation.

N=89-3(25)

N=89-75

N=14 dollars for each novel.

Check by putting both back into the first equation:

5C + 3N = 167

5(25) + 3(14) = 167. It checks out!

3 0

3 years ago