Answer:
Jelly beans: $6 for 1 kg
Gummy worms: $7 for 1 kg
Step-by-step explanation:
In this question, we need to find the cost of 1kg of jelly beans and gummy worms.
To do this, make equations for both scenarios and solve:
2j + 2g = 26
2j + 3g = 33
Turn the bottom equation negative, as we will first solve for gummy worms (g).
2j + 2g = 26
-2j - 3g = -33
Solve:
-g = -7
Divide both sides by -1.
g = 7
We now know that gummy worms cost $7 for 1 kg
To solve for jellybeans (j), plug in 7 to g in one of the equations and solve:
2j + 2(7) = 26
2j + 14 = 26
Subtract 14 from both sides.
2j = 12
Divide both sides by 2.
j = 6
Jellybeans cost $6 for 1 kg.
Check answer by plugging in values to one of the equations:
2(6) + 2(7) = 26
12 + 14 = 26
26 = 26
Answer:
16.5 pounds
Step-by-step explanation:
16.5% as a decimal is 0.165
0.165 x 100 = 16.5
So in conclusion you will weigh about 16.5 pounds on the moon.
Hey there! :)
Answer:
y = 5x + 10
Step-by-step explanation:
From the information given, we can derive the points (-2, 0) and (0, 10). Find the slope using the slope formula:
![m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B%5Ctext%7Brise%7D%7D%7B%5Ctext%7Brun%7D%7D%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
Plug in the points:
![m= \frac{10 - 0}{0 - (-2)}](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7B10%20-%200%7D%7B0%20-%20%28-2%29%7D)
Simplify:
![m= \frac{10}{2}](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7B10%7D%7B2%7D)
m = 5.
The equation in slope-intercept form is y = mx + b. We were already given the b value, or y-intercept as y = 10. Therefore:
y = 5x + 10 is the equation written in slope-intercept form.
Total paid
725×12×30
=261,000
Total interest
261,000−150,000
=111,000
Answer:
B
Step-by-step explanation:
they are similar and 7 / 5 = 21 / 15