Given:
Number of jelly beens in the car: 785,000
Number of jelly beans in a bag: 800
Number of bags needed to fill the car?
785,000 / 800 = 981.25
Randall claimed = more than 981 bags
Susie claimed = exactly 981 bags.
Randall is correct. More than 981 bags.
981 x 800 = 784,800
There is a missing 200 jelly beans if exactly 981 bags were used. Thus, a quarter of the 982nd bag is used to complete the 785,000 jelly beans.
22.
pythagorean theorem says legs a and b and hypotenuse c of a right triangle are related via the equation c²=a²+b². in other words, adding the sum of the squares of the legs get you the square of the hypotenuse
if the hypotenuse is 4 meters long, c = 4.
if one leg is 3 meters long, we can choose either a or b to be 3. it does not really matter. let us choose a = 3. now we have to find b.
if we have c²=a²+b², we can solve for b.
subtract a² both sides to get c²-a²=b², and then square root both sides to get
b = √(c²-a²)
plugging in our info we get
b = √(4²-3²) = √(16 -9) = √7
so the answer is √7 meters for 22
23
two triangles are similar, then the proportion of their sides are the same. the propotion between the smaller triangles' hypotenuse and 2cm leg is 5cm/3cm.
notice how the bigger triangle just have a doubled hypotenuse. therefore, the bigger triangle's x and y are just the corresponding smaller triangle values doubled.
x = 6 and y = 8
The side length of the cube is 6 cm.
If you wanted to compute for your budget for natural gas
this month using the data you have recorded about your consumption of natural gas
for the past four months, the best estimate to be budgeted this month would be
the average consumption for the past 4 months. To get the average, you have to
add the four numbers and divide it by four.
$112
+ $108 + $99 + $89 = $408/4 = $102
Answer:
The value after 7 years is $ 855355.65
Solution:
Given that, Annual sales for a fast food restaurant are 650000 and are increasing at a rate of 4% per year
To find: exponential function to find the annual sales after 7 years
The exponential growth function is given as:
Where,
"a" is the initial amount
"y" is the future value
"r" is the rate of interest in decimal
"t" is the number of years
Here in this given question,
a = 650000
t = 7 years
Substituting the values in given formula,
Thus the value after 7 years is $ 855355.65
Step-by-step explanation:
