Just do 23 minus 6 and that should be the answer because the y-ccordinate is in the same place
Answer:
Vol. of the composite figure is 189 m³
Step-by-step explanation:
Find the volume of the larger figure by mult. together its 3 dimensions:
V = (9 m)(8 m)(3 m) = 216 m³.
Next, find the volume of the "notch," which is (3 m)³, or 27 m³.
Finally, subtract the "notch" volume from the 216 m³ volume found earlier:
216 m³ - 27 m³ = 189 m³
Answer:
We have 40% antifreeze and 70% antifreeze and we need to make 240 liters of 64% antifreeze.
We set up 2 equations where "f" is the 40 % and "s" is the 70%
A) f + s = 240
B) .40f + .70s = (.64 * 240) (or 153.6)
To solve both equations we multiply A) by -.40
A) -.40 f - .40 s = -96.00 then we add this to B)
B) .40f + .70s = 153.60
.30s = 57.6
s = 192
f = 48
48 liters of 40% = 19.20 liters of antifreeze
192 liters of 70% = 134.40 liters of antifreeze
That equals 153.60 liters of antifreeze in a TOTAL liquid amount of 240 liters.
Double Check
153.60 / 240 = 64% antifreeze.
Step-by-step explanation:
The regular selling price per unit for the laptop is $298.6.
<h3>How to calculate the price?</h3>
Let the regular price per unit be x.
The expense is 19% of the selling price and profit is 25% of the selling price. This will be illustrated as:
x + (19% × x) + (25% × x) = 430
x + 0.19x + 0.25x = 440
1.44x = 430
Divide
x = 430 / 1.44
x = 298.6
The price is $298.6
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Answer:
A unit rate is the rate of change in a relationship where the rate is per 1.
The rate of change is the ratio between the x and y (or input and output) values in a relationship. Another term for the rate of change for proportional relationships is the constant of proportionality.
If the rate of change is yx, then so is the constant of proportionality. To simplify things, we set yx=k, where k represents the constant of proportionality.
If you solve a yx=k equation for y, (like this: y=kx), it is called a direct variation equation. In a direct variation equation, y varies directly with x. When x increases or decreases, y also increases or decreases by the same proportion.
To find y in a direct variation equation, multiply x by the constant of proportionality, k.
For example: Given the relationship y=7x, the constant of proportionality k=7, so if x=3, then y=3×7 or 21.
Given the same relationship, if x=7, then y=7×7, or 49.
Step-by-step explanation:
