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Tpy6a [65]
4 years ago
15

Use substitution to solve s+a=4 and 35+5a=2550

Mathematics
2 answers:
mario62 [17]4 years ago
5 0
35+5(4-s)=2550
35+20-5s=2550
55-5s=2550
-55 -55
-5s = 2495
s = - 499

-499 + a = 4
+499 +499
a = 503
Ivan4 years ago
4 0
S + a = 4   

35 + 5a = 2550

From the second equation:

35 + 5a = 2550

5a = 2550 - 35

5a = 2515

a = 2515/5

a = 503


From      s + a = 4

s + 503 =4

s = 4 - 503

s = -499

Therefore  a = 503,  s = -499 
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A sneaker company can make 50 pairs of sneakers for every 6 yards of material. Make a table to show the relation between materia
Law Incorporation [45]

A sneaker company can make 50 pairs of sneakers for every 6 yards of material.

Then in each case you can consider proportion.

1. 50 pairs -- 6 yards,

80 pairs -- x yards.

Mathematically,

\dfrac{50}{80}=\dfrac{6}{x},\\ \\x=\dfrac{80\cdot 6}{50}=9.6\ yards.

2. 50 pairs -- 6 yards,

100 pairs -- x yards.

Mathematically,

\dfrac{50}{100}=\dfrac{6}{x},\\ \\x=\dfrac{100\cdot 6}{50}=12\ yards.

3. 50 pairs -- 6 yards,

120 pairs -- x yards.

Mathematically,

\dfrac{50}{120}=\dfrac{6}{x},\\ \\x=\dfrac{120\cdot 6}{50}=14.4\ yards.

4. 50 pairs -- 6 yards,

140 pairs -- x yards.

Mathematically,

\dfrac{50}{140}=\dfrac{6}{x},\\ \\x=\dfrac{140\cdot 6}{50}=16.8\ yards.

Thus, the table is

\begin{array}{cc}\text{Pairs}&\text{Yards}\\50&6\\80&9.6\\100&12\\120&14.4\\140&16.8\end{array}

The domain of the relation is the set \{50,80,100,120,140\} and the range of the relation is \{6,9.6,12,14.4,16.8\}.See attached diagram for the graph of the relation.

4 0
3 years ago
K-20/5=11j ; solve for k
yan [13]
In terms of j: 55j+20 = k 
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Read 2 more answers
The variable y varies directly with the variable x.
Tomtit [17]

Answer:

I believe it is 21

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Could anyone help??????????????
kvasek [131]

Answer:

a. No

b. Yes

c. No

d. Yes

e. Yes

Step-by-step explanation:

3(x+2) simplified is equal to (3)x+(3)2 which is simplified to 3x+6.

a. 3x+2 is not the same as 3x+6 so it is false.

b. 3(2+x) is simplified to (3)2+3(x) which is simplified to 6+3x or 3x+6 which is equal to 3x+6 so it is true.

c. 3x+2x is simplified to 5x which is not equal to 3x+6 so it is false.

d. x+2x+2+4 is simplified to 3x+6 which is equal to 3x+6 so it is true.

e. x+x+x+1+1+1+1+1+1 is simplified to 3x+6 which is equal to 3x+6 so it is true.

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8 0
3 years ago
The lemonade recipe calls for 4 scoops of lemonade powder for each quart of water. Each quart is equivalent to 4 cups. Let n rep
tia_tia [17]

Answer:

B. 5 ≤ n≤ 8

f. 10 ≤ S ≤ 16

C. c=2n

d. S = c

Step-by-step explanation:

Jada is making lemonade for a get together with her friends. She expects a total of 5 to 8 people to be there (including herself).?

She plans to prepare 2 cups of lemonade for each person. The lemonade recipe calls for 4 scoops of lemonade powder for each quart of water. Each quart is equivalent to 4 cups. Let n represent the number of people at the get together, c the number of cups of water, S the number of scoops of lemonade powder. Select all the mathematical statements that repsent the quantities and constraints in the situation.

A. 5<n<8

B. 5≤ n≤8

C. c=2n

d. S = c

e. 10<c<16

f. 10≤S≤16

Let

n = number of people at the get together,

c = number of cups of water,

S = number of scoops of lemonade powder.

She expects a total of 5 to 8 people to be there (including herself).

B. 5 ≤ n ≤ 8

She plans to prepare 2 cups of lemonade for each person.

With minimum of 5 people and maximum of 8 people

2 × 5 = 10

2 × 8 = 16

f. 10≤S≤16

The number of cups of water is twice the number of people at the party

C. c=2n

Number of scoops of lemonade powder is equivalent to number of cups of water

d. S = c

4 0
3 years ago
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