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3 years ago

Explain how to add fractions with the same denominator. Use

Mathematics

2 answers:

SpyIntel [72]3 years ago

8 0

Answer:

Step-by-step explanation:

$\frac{3}{8}+\frac{2}{8}=\frac{3+2}{8}\\\\=\frac{5}{8}$

If two fractions have same denominator, add the numerator and write the common denominator.

Delvig [45]3 years ago

4 0

Step-by-step explanation:

To add fractions with the same demonator for example 3/8 + 2/8 you would add 3 +2 = 5 The numerator would be 5 and the demonator would stay the same. You would get an answer of 5/8

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Morgarella [4.7K]

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3 years ago

What is the height of the triangle 35 and 819

kakasveta [241]

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2 years ago

Solve the following system of equations for all three variables.

GrogVix [38]

Answer:

(x,y,z) -> (2,4,1)

Step-by-step explanation:

-7x + y + z = -9

-7x + 5y - 9z = -3

7x - 6y + 4z = -6

Pick two pairs:

-7x + 5y - 9z = -3

7x - 6y + 4z = -6

and

-7x + y + z = -9

-7x + 5y - 9z = -3

Eliminate the same variable from each system:

-7x + 5y - 9z = -3

7x - 6y + 4z = -6

+ 5y - 9z = -3

- 6y + 4z = -6

-1y - 5z = - 9

-7x + y + z = -9

-7x + 5y - 9z = -3

-7x + y + z = -9

7x - 5y + 9z = 3

-4y - 10z = -6

Solve the system of the two new equations:

-1y - 5z = - 9 -> -4 ( -1y - 5z = - 9) -> 4y + 20z = 36

-4y - 10z = -6 -> -4y - 10z = -6 -> -4y - 10z = -6

10z = 30

Thus, z = 3

-4y - 10z = -6

-4y - 10(3) = -6

-4y - 30 = -6

-4y = 24

Thus, y = -6

Substitute into one of the original equations:

-7x + y + z = -9

-7x + (-6) + (3) = -9

7x + -3 = -9

7x = -6

x =

4 0

2 years ago

Mrs. Stern washed

bekas [8.4K]

Answer:

Mrs. Stern washed more

$\frac{7}{20}$ laundry still needs to be washed.

Step-by-step explanation:

Total amount of laundry: $\frac{20}{20}$

$\frac{20}{20} -\frac{2}{5}-\frac{1}{4} =$

$\frac{20}{20} - \frac{8}{20} -\frac{5}{20} =$

$\frac{7}{20}$ of the laundry still needs to be done.

Mrs. Stern washed $\frac{8}{20}$ of the laundry.

Her son washed $\frac{5}{20}$ of the laundry.

Mrs. Stern washed more laundry than her son.

8 0

2 years ago

Which situation represents a proportional relationship?

Natalka [10]

Answer:

B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y=kx$

The ratio between the two variables is a constant called constant of proportionality k

$k=y/x$

Verify each case

A) Julie sold 4 necklaces for $12 and 9 necklaces for $25.

$\frac{4}{12}=\frac{9}{25}$

Multiply in cross

$4(25)=9(12)\\100\neq108$

Is not true

therefore

The situation not represent a proportional relationship

B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.

$\frac{5}{25}=\frac{8}{40}$

Multiply in cross

$5(40)=8(25)\\200=200$

Is true

therefore

The situation represent a proportional relationship

C) Larry packed 24 apples in 6 boxes and 46 apples in 9 boxes

$\frac{24}{6}=\frac{46}{9}$

Multiply in cross

$24(9)=46(6)\\216\neq276$

Is not true

therefore

The situation not represent a proportional relationship

D) Allie put 14 pieces of candy in 2 bags and 30 pieces of candy in 4 bags

$\frac{14}{2}=\frac{30}{4}$

Multiply in cross

$14(4)=30(2)\\56\neq60$

Is not true

therefore

The situation not represent a proportional relationship

7 0

3 years ago