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Bingel [31]
3 years ago
11

Roger served 5/8 pound of crackers, which was 2/3 of the entire box. what was the weight of the crackers originally in the box

Mathematics
1 answer:
ira [324]3 years ago
4 0
5/8 = 2/3 the entire box

Half of 2/3 is 1/3, and 2/3 + 1/3 = 1

So find half of 5/8 and add it to 5/8.

5/8 * 1/2 = 5/16

5/8 + 5/16

Change 5/8 to a fraction with a denominator of 16:

10/16 + 5/16 = 15/16

So the original weight is 15/16 pounds.
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Eight friends started a business. They will wear either a baseball cap or a shirt imprinted with their logo while working. They
posledela

Answer:The system of equations to describe the situation are

c + y = 8

6c + 3y = 36

Step-by-step explanation:

Let c represent the number of shirts.

Let y represent the number of caps.

Eight friends started a business. They will wear either a baseball cap or a shirt imprinted with their logo while working. This means that

c + y = 8 - - - - - - - - - - -1

They want to spend exactly $36 on the shirts and caps. Shirts cost $6 each and caps cost $3 each. This means that

6c + 3y = 36 - - - - - - - - - - 2

4 0
4 years ago
Leslie and Daniel plan to put an above-ground pool in the backyard of their new home. The backyard is rectangular, 30 feet by 50
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1047.84ft² is not covered by the pool.
Find the area of the yard covered by pull using the area of a circle formula (the height is irrelevant in this case). If the diameter of the pool is 24 feet, its radius is 12 (half of the diameter)

A = 3.14r^2
A =3.14(144)
A = 452.16 ft²

Subtract the area of the pool from the area of the yard to get the area of the yard that is not covered by the pool. If the dimensions of the yard are 30ft by 50ft, you multiply them to get the area: 1500ft²

Total yard area: 1,500ft²
Area of yard without pool: 1,500ft² - 452.16ft² = 1047.84ft²
4 0
4 years ago
A system of linear equations with fewer equations than unknowns is sometimes called an underdetermined system. Can such a system
elena55 [62]

Answer:

No, it cannot have a unique solution. Because there are more variables than​ equations, there must be at least one free variable. If the linear system is consistent and there is at least one free​ variable, the solution set contains infinitely many solutions. If the linear system is​ inconsistent, there is no solution.

Step-by-step explanation:

the questionnaire options are incomplete, however the given option is correct

We mark this option as correct because in a linear system of equations there can be more than one solution, since the components of the equations, that is, the variables are multiple, leaving free variables which generates more alternative solutions, however when there is no consistency there will be no solution

3 0
3 years ago
-4x-y=24<br> whats the missing value
lubasha [3.4K]

Answer:

x

Step-by-step explanation:

;\

4 0
3 years ago
Which of the following statements is not true about an explanatory variable?
Anna11 [10]
It is a dependant variable
4 0
3 years ago
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