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34kurt
3 years ago
13

What is -4/5+ 7/15 when you simplify ?

Mathematics
2 answers:
photoshop1234 [79]3 years ago
7 0

Answer: -\frac{1}{3}

Step-by-step explanation:

When you add fractions with different denominators, you need to find the Least common denominator (LCD):

Descompose the denominators (5 and 15) into its prime factors and then choose the commons and non-commons with the highest exponents:

5=5*1\\15=3*5\\\\LCD=5*3*1=15

Divide the LCD by each original denominator of each fraction and multiply the result by each original numerator of each fraction. After this, you can add the numerators and reduce the fraction.

Then:

-\frac{4}{5}+\frac{7}{15}=\frac{-(4)(3)+7(1)}{15}=\frac{-12+7}{15}=\frac{-5}{15}=-\frac{1}{3}

solong [7]3 years ago
5 0

Answer:

-1/3

Step-by-step explanation:

-4/5+ 7/15

We need to get a common denominator of 15

-4/5 *5/5 = -12/15

Add the two fractions together

-12/15 +7/15

-5/15

Divide the top and bottom by 5

-1/3

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Is it ever possible that cos (A−B)=cos ⁡A−cos ⁡B? Why
svetlana [45]

Answer:

  yes, there are an infinite number of solutions

Step-by-step explanation:

The attached graph shows values of A and B (x and y) that can make this equation be true. Any of the points on any of the curves will satisfy the equation. (The repetition continues indefinitely in all directions.)

8 0
3 years ago
The base of an isosceles triangle is 5 and it's perimeter is 11. The base of a similar isosceles triangle is 10.What is the peri
Andreas93 [3]

Answer: the perimeter of the larger triangle is 22 units

Step-by-step explanation:

The diagram of both triangles is shown in the attached photo. The isosceles triangles are triangle ABC and triangle DEF

Perimeter of triangle ABC = 11

For an isosceles triangle, the other two sides are equal. If one equal side is x, then the sum of the two equal sides is x+x = 2x

Perimeter of triangle = sum of the lengths of the 3 sides. Therefore,

11 = 5 + 2x

2x = 11-5 = 6

x = 6/2 = 3

The base of the similar triangle is 10. It means that it is 2 times the base of the smaller triangle. That means the scale factor is 2. Therefore,

If the perimeter of the small triangle is 11, the Perimeter of the larger triangle will be 2 × perimeter of the smaller triangle. This becomes

2 × 11 = 22 units.

It can also be determined by adding the length of each side

3×2 + 3×2 + 5×2 = 6+6+10 = 22 units

5 0
3 years ago
Read 2 more answers
Could someone help me understand this problem?
Morgarella [4.7K]

Answer:

pick the answer that explains the graph

Step-by-step explanation:

hope  this helps a bit??

7 0
2 years ago
Read 2 more answers
Use the scale of 1cm=45 km
alex41 [277]

Answer:

d = 7.4 cm is the distance between the two cities on the map.

Step-by-step explanation:

Let d = the distance measured on the map in centimeters (cm) between any two locations and let D be the actual distance in kilometers (km) between these same two locations.

Since the scale on the map is 1 cm = 45 km, then the ratio of the distance on the map to the actual distance is equal to 1cm/45 km; therefore the quotient of any measured distance d on the map divided by the corresponding much longer actual distance D would have to maintain (equal) this same ratio; In other words, we can set up the following proportion to solve for d given the actual distance D = 333 km as follows:

1 cm/45 km = d/D

Substituting, we get:

1 cm/45 km = d/333 km

d/333 km = 1 cm/45 km

(d/333 km)(333 km) = (1 cm/45 km)(333 km)

d = (333 km/45 km)(1 cm)

d = 7.4 cm is the distance between the two cities on the map.

Check:

1 cm/45 cm = d/333 km

1 cm/45 cm = 7.4 cm/333 km

1 cm/45 cm = 1 cm/45 km (Therefore, the distance ratio of the map has been maintained

3 0
1 year ago
What is the value of x?
vredina [299]

Answer:

<em>x=</em><em>3</em><em>0</em><em>°</em>

hopefully this answer can help you to answer the next question

6 0
3 years ago
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