MATHEMATICS HIGH SCHOOL

A chef has 1/2 a pound of flour to divide equally into two containers. How much flour will be in each container?

Answers

Answer 1

Answer:

There is 1/4 flour will be in each container

What is Division?

A division is a process of splitting a specific amount into equal parts.

Given that A chef has 1/2 a pound of flour

The chef has to divide 1/2 a pound of flour to two containers equally.

We need to find how much flour will be in each container.

Which means we have to divide 1/2 by 2.

(1/2)/2

One by two whole divided by 2

1/2 is the numerator and 2 is the denominator

=1/2×2

=1/4

Hence, there is 1/4 flour will be in each container

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Answer 2

Answer:

Answer:

1/4

Step-by-step explanation:

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Mary and Jan are both at the gas station at Hill and Elm. From the station, Mary drives 18 miles west and Jan drives 12 miles north. Find the distance between Mary and Jan.

Use reference angles to find the exact value of tan 405 deg

Answers

$tan405^o=tan(360^o+45^o)=tan45^o=1$

Is 3 yards greater or less than or equal to 21 feet

Answers

3 yards is less than 21 feet. 3 yards is 9 feet. 7 yards is 21 feet

3 yards is less than 21 feet because there are 3 feet in each yard.
3x3=9
21 feet is greater than 9 feet
Hope this helps!!!

Which graph represents the solution set of the system of inequalities?

Answers

Answer:

D (right-down graph)

Step-by-step explanation:

y = ax+b - linear function,

a>0 - ascending

a<0 - descending

$y=\frac13x-3$ - ascending function, because $a=\frac13$ , so a>0

$y=-3x-3$ - descending function, cause $a=-3$ , so a<0

We refuse both graphs on the left side, these are two ascending functions

$y\ge\frac13x-3$ is the area above the ascending function $y=\frac13x-3$

$y<-3x-3$ is the area below the descending function

This causes that D (right-down graph) is a correct answer

Adita has two options for how to invest $1,000.Plan A: Put the $1,000 in an account that pays $100 per year.
Plan B: Put the $1,000 in an account that pays 5 percent interest per year.

Which statement is true?
Plan A will be worth more than plan B after two years.
Plan A will be worth the same amount as plan B after one year.
Plan B will be worth more than plan A after three years.
Plan B will be worth more than plan A after four years.

Answers

First let's calculation
Plan A = 1000 dollars to be invested in an account that pays 100 dollars per year. (1000 + 100 = 1100 dollars in a year)
Plab B = 1000 dollars to be invested in an account that pays 5% interests per year (1000 * .05 = 50 => 1000 + 50 = 1050 dollars per year)
Thus the correct answer is Plan A will be worth more than plan B after two years.

The true statement is Plan A will be worth more than plan B after two years.

What is the worth of the plans with the passage of time?

The equation that can be used to represent the future value of plan A:

Total value = initial value x ($100 x number of years)

Value in 2 years: 1000 x (100 x 2) = $1200

Value in 3 years: 1000 x (100 x 3) = $1300

Value in 4 years: 1000 x (100 x 4) = $1400

The equation that can be used to represent the future value of plan B:

FV = P (1 + r)^n

FV = Future value
P = Present value
R = interest rate
N = number of years

Value in 2 years: 1000 x(1.05^2) = $1102.50
Value in 3 years: 1000 x(1.05^3) = 1157.63
Value in 4 years: 1000 x(1.05^2) = 1215.51

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A bag holds 5 pounds of pet food. If Paul uses the 5 pounds of food to fill 6 plastic containers equally, how much pet food will each container hold?

Answers

The amount of pet food will each container hold will be 0.83 pounds.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A bag holds 5 pounds of pet food.

And, Paul uses the 5 pounds of food to fill 6 plastic containers equally.

Now,

Since, Paul uses the 5 pounds of food to fill 6 plastic containers equally.

Hence, The amount of pet food contain by each container = 5/6

= 0.83 pounds

Thus, The amount of pet food contain by each container = 0.83 pounds

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5 pounds=6 containers how about 1
1 x 6 divided by 5
each=0.83