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alexgriva [62]
3 years ago
12

Leo's age is three times Stan’s age. In five years, Leo will be twice as old as Stan. How old is each now?

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
6 0

Answer:


Step-by-step explanation:

L=3S

In 5 years,

L+5=2(S+5)

L+5=2S+10

L=2S+5

 Substituting from above,

3S=2S+5

S=5

So then,

L=3(5)

L=15

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Ainat [17]

Answer:

x = 16

y = -24

Step-by-step explanation:

Recall that the addition of matrices is done when matrices are of the same dimension. In this case, you are in fact adding matrices of the same dimension (dimension 1x2). Recall as well that in the addition of matrices, the elements of each matrix combine only with the element located in the exact same position in the other matrix.

So for this case the first element of the first matrix "16" combines with the first element of the second matrix "0" resulting in an element of value16 + 0 =16 in the new matrix.

Equally, the second element of the first matrix "-24" combines with the second element of the second matrix, resulting in : -24 + 0 = -24.

Therefore, the matrix resultant from this addition is: [16   -24] (same form of the first matrix, which indicates that adding a zero matrix to an existing matrix will not change the first matrix.

5 0
3 years ago
A rotation of a figure can be achieved by consecutive ___ of the figure over given lines
strojnjashka [21]
Movement by degree so by drawing it n tracing paper then rotating it a certain degree such as 90 degrees
6 0
4 years ago
You have to solve the problem \frac{3}{4}-\frac{1}{8} ​4 ​ ​3 ​​ − ​8 ​ ​1 ​​ . After you make the denominators the same, what d
worty [1.4K]

Answer:

If you are doing subtraction with fractions you need to make a common denominator and subtract the numerators from each other

ex. 1/2 - 1/3

make a common denominator (or find the least common multiple)

3/6 - 2/6

subtract the numerators

take 2 from 3 and put that on top.

Solution 1/2-1/3= 3/6-2/6= 1/6

5 0
3 years ago
What is the length of the arc on a circle with radius 20 in. intercepted by a 15° angle? Use 3.14 for π . Round the answer to th
Fofino [41]
We know, length of arc = Ф/360 * 2πr
= 15/360 * (2 * 3.14 * 20)
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In short, Your Answer would be 5.23 Inches

Hope this helps!
5 0
3 years ago
In triangle ABC, angle A is 75o and angle B is 20o. Select the triangle that is similar to triangle ABC.
Arturiano [62]

Answer:

A. \triangleDEF where \angle D = 75^{\circ} and \angle E = 20^{\circ}.

Step-by-step explanation:

At first we must keep in mind that two triangles are similar when they have same angle configuration, that is, each pair of angles is congruent. If \triangleABC and \triangleDEF, then \angle A \equiv \angle D and \angle B \equiv \angle E. Hence, \angle D = 75^{\circ} and \angle E = 20^{\circ}.

In a nutshell, correct answer is A.

4 0
3 years ago
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