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Setler79 [48]
3 years ago
12

WILL GIVE BRAINLIEST

Mathematics
1 answer:
brilliants [131]3 years ago
7 0

Answer:

^algebra^

#1). a - b=4

a=4 + b .....(equation 1)

#2) a + b=12

(4 + b) + b= 12

4 + b + b=12

4 + 2b=12

2b= 12 - 4

2b =8

b= 8:2

b=4

subtituted b in equation 1

a= 4 + b

a= 4 + 4

a=8

so, the number is 8 and 4

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Zoey made 6 1/2 cups of trail mix for a camping trip. She wants to divide the trail mix into 3/4 cup of servings. Twelve people
AlekseyPX

Answer:

No

Step-by-step explanation:

Given that:

Total number of cups of trail mix available for camping trip = 6\frac{1}{2}

Amount of one serving contains = \frac{3}{4} cups

Number of people at the trip = 12

To find:

Whether each person will be able to get the servings?

Solution:

Here, we can find the total number of servings by dividing the total number of cups of trail mix with the amount of one serving.

First of all, let us convert the mixed fraction into fractional number.

6\dfrac{1}{2} = \dfrac{6\times 2+1}{2} = \dfrac{13}{2}

Therefore, total number of servings available as per the given quantities:

\dfrac{\frac{13}2}{\frac{3}4}\\\Rightarrow \dfrac{13\times 4}{2\times 3} \\\Rightarrow \dfrac{26}{3}\\\Rightarrow \approx 8

So, With this type of servings Zoey will be able to serve only 8 people.

Therefore, there is not enough servings.

7 0
3 years ago
4. The distance covered by the cook in Triangle A equals _______________ eighteen-inch steps.
laiz [17]
We know that

<span>to convert feet to inches we must multiply by 12

</span>4. The distance covered by the cook in Triangle A equals 
a) fridge and stove-----------> 5*16*12=960 in
b) fridge and sink-------------> 10*22*12=2640 in
c) sink and stove--------------> 15*16*12=2880 in
then add, 960 + 2640 + 2880 = 6480 in

the answer asks for the distance in 18 in lengths 
so divide 6480 by 18 -------------> 6480/18=360 

the answer part N 4) is 360 eighteen-inch steps
<span>
5. The distance covered by the cook in Triangle B equals 
a) fridge and stove-----------> 5*16*12=960 in
b) fridge and sink-------------> 10*16*12=1920 in
c) sink and stove--------------> 15*16*12=2880 in
</span><span>then add, 960 + 1920 + 2880 = 5760 in
</span>
<span>the answer asks for the distance in 18 in lengths
so divide 5760 by 18 -------------> 5760/18=320 
</span><span>
the answer part N 5) is 320 </span>eighteen-inch steps

6. The distance covered by the cook in Triangle A equals 
a) fridge and stove-----------> 5*15*12=900 in
b) fridge and sink-------------> 10*22*12=2640 in
c) sink and stove--------------> 15*15*12=2700 in
then add, 900 + 2640 + 2700 = 6240 in

the answer asks for the distance in 18 in lengths 
so divide 6240 by 18 -------------> 6240/18=346.67------> 347

the answer part N 6) is 347 eighteen-inch steps<span>

</span>
3 0
3 years ago
Find the 12th term in the following arithmetic sequence
sattari [20]
It is going up by 5 so i believe your answer would be 57
4 0
3 years ago
Please help me asap!!!!!!!
rewona [7]

9514 1404 393

Answer:

  (b)  Symmetric property of congruence

Step-by-step explanation:

a) The transitive property says if a=b and b=c then a=c

b) The symmetric property says if a=b then b=a

c) The substitution property says if a=b and a=c then b=c

d) The reflexive property says a=a

__

The property of congruence of interest here is the <em>symmetric property</em>.

5 0
3 years ago
Linda is twice the age of Vera.
Paladinen [302]

Answer:

Tanya is 20 years old

Step-by-step explanation:

Let the age of Vera = x years

The age of Linda is twice the age of Vera = 2x years

Tanya  is four less than four times the age of Linda = 4(2x)-4 = 8x-4

Total age of Vera, Linda and Tanya is:

x+2x+8x-4

Combine the like terms:

11x-4

But now their total age is two more than nine times the age of Vera:

11x-4 = 9x+2

Solve the expression

Combine the like terms:

11x-9x=2+4

2x=6

Divide both the sides by 2

2x/2 = 6/2

x= 3

Thus the age of Vera is 3 years.

The age of Linda is 2x= 2*3 = 6 years

The age of Tanya is 8x-4 = 8*3 - 4 = 24-4 = 20years....

7 0
3 years ago
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