At a sale, Salazar bought 4 T-shirts and 3 pairs of jeans for $181. At the same store, Jenna bought 1 T-shirt and 2 pairs of jeans for $94. The T-shirts were all the same price, and the jeans were all the same price. Write a system of equations that can be used to represent this situation
Answers
4t + 3j = 181 and t + 2j = 94 represents the system of equations that can be used to represent this situation
Solution:
Let "t" be the cost of each t - shirt
Let "j" be the cost of each pair of jean
At a sale, Salazar bought 4 T-shirts and 3 pairs of jeans for $181
Therefore, we can frame a equation as:
4 T-shirts x cost of each t - shirt + 3 pairs of jeans x cost of each pair of jean = 181
At the same store, Jenna bought 1 T-shirt and 2 pairs of jeans for $94
Therefore, we can frame a equation as:
1 T-shirts x cost of each t - shirt + 2 pairs of jeans x cost of each pair of jean = 94
Thus eqn 1 and eqn 2 represents the system of equations that can be used to represent this situation
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2 - increase 24g by 9%
3 - decrease 1120 of 13.5%
4 - decrease 0.057 by 55%
sally investment of £450 has gone up by 30%, while susies has gone down by 10% from 650. who has got the highest amont of money
Answers
As you're looking for 27%, you then multiply 2.35*27= 63.45
As you're increasing it, you've then got to add this to the original amount.
235+63.45= 298.45
2. Again, find 1%. 24/100= 0.24
0.24*9= 2.16
24+2.16= 26.16
3. Find 1%. 1120/100= 11.2
As you're looking for 13.5%, you then multiply this by 13.5
11.2*13.5= 151.20
As you're subtracting, you then take this away from the original number.
1120-151.20= 968.80
4. This time, you can find 10%.
0.057/10= 0.0057
0.0057*5.5= 0.03135.
You've then got to subtract this as you're decreasing the number.
0.057-0.03135= 0.02565.
Sally's investment is now worth £585. (Find the 30% and add it on) and Susie's investment is now worth £585 (Find the 10% and subtract). They both have the same amount of money.
Hope this helps :)
Answers
Step-by-step explanation:
To determine the equation of the line parallel to , we need to first determine the slope of the given line.
A line in slope-intercept form is represented by the following:
where is the slope of the line and
is the y-intercept.
Rearranging the given line will give us the slope of the line:
From this, since we know the lines are parallel, if the slope of the given line is , then the slope of the line we are constructing must also be
.
We can now start to construct the line with the same slope-intercept form:
To determine the y-intercept, , we can plug in the point
since we are told from the problem statement that this parallel line runs through it:
Finally, we have our parallel line:
If this line needs to be in standard form, we can rearrange it a little:
x + 4
x – 6
x + 6
Answers
Answer:
x + 4
Step-by-step explanation:
(x - 9)(x + 4)
FOIL
x^2 + 4x - 9x - 36 = x^2 - 5x - 36
Answer:
B
Step-by-step explanation:
(a) Elizabeth’s expression: 15x + 15x + 15x + 70
(b) Heather’s expression: 15(x + x + x) + 70
(c) Erin’s expression: x(15 + 15 + 15) + 70
Answers
Heather multiplies the cost per guest by the total number of guests, and adds the rental cost. This has the same result.
Erin multiplies the amount of guests each girl invites with the price per guest, taking the price three times since three girls invite guests. Then, she adds the rental cost.
Thus, all three equations are equal to the costs of the guests added to the rental cost, which is the full cost.
Answers
112 * 45 = 5,040
143 * 32 = 4,576
5,040 + 4,576 = 9,616
If the store sells all the ponchos it will receive $9,616
Answers
the like terms are: 9 and 3, Z and 2Z
the coefficients are: Z, 2Z
the constants are:9, 3
hope this helps