Answer:
1 hotdog cost $2.25
1 popcorn cost $3.5
Step-by-step explanation:
Let the price of hotdog be and that of popcorn be p
For the first hour;
15p + 14h = 84 •••• (i)
for the second hour;
18p + 16h = 99 •••••(ii)
so we want to solve these two equations simultaneously
In equation 1,
14h = 84-15p
h = (84-15p)/14
Simply insert this into equation ii
18p + 16(84-15p)/14 = 99
Multiply through by 14
252p + 1344 - 240p = 1386
1386-1344 = 252p-240p
12p = 42
p = 42/12
p = $3.5
to get cost of hotdogs;
h = (84-15p)/14
Substitute p = 3.5
h = (84-52.5)/14
h = 31.5/14
h = 2.25
Answer:
#4.
- 3 < - 2 1/2
If you consider the number line, the numbers increase from left to right. The number on the left is smaller than a number on the right.
- 3 is smaller than -2 1/2, it means -3 is on the left from the -2 1/2 on the number line.
#5.
Jada's score is positive, it means the number reflecting the score is to the right from zero on the number line.
Isabel's score is negative, it means the number reflecting the score is to the left from zero on the number line.
Since Isabel's score is to the left from the Jada's score, she has lower score than Jada.
With the lowest score, Isabel is the winner.
Answer:
C. 4.5
Step-by-step explanation:
If you reference the scatter plot, you see that when x=3, y=4.5. Therefore, the answer is 4.5.
Answer:
m∠A = 20°
Step-by-step explanation:
Given that the sum of the angles of any triangle is 180°, adding the expressions of each angle and setting them equal to 180° will give the value of 'x' and allow you to evaluate the angles.
2x + 5x + 11x = 180
18x = 180
18x/18 = 180/18 or x = 10
m∠A = 2x or 2(10) = 20°
m∠B = 5x or 5(10) = 50°
m∠C = 11x or 11(10) = 110°
Out of the choices given, the only one that is true is that m∠A = 20°.
Y>-1/3x+2 is the answer bc you needed to divide the entire thing by 3 in order to simplify it and turn it into slope intercept form
