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lisov135 [29]
4 years ago
6

if one number is five more than another number, and the smaller number is half of the larger, what are the two numbers

Mathematics
2 answers:
STatiana [176]4 years ago
4 0

Answer:

smaller number = 5

larger number = 10

Step-by-step explanation:

Let

smaller number = x

larger number = x+5

"the smaller number is half of the larger" means

x+5 = 2x

Solve for x

5 = 2x -x = x

Therefore

smaller number = 5

larger number = 10

MariettaO [177]4 years ago
3 0

Answer:

The larger number is 10 and the smaller is 5 less, or 5.

Step-by-step explanation:

Represent the larger and the smaller numbers by L and S.

Then L = S + 5, and S = L/2

Substituting L/2 for S in the first equation, we get L = (L/2) + 5

Multiplying both sides by 2, we get 2L = L + 10, or L = 10.

The larger number is 10 and the smaller is 5 less, or 5.

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Set g is the set of positive integers divisible by 4, and set f is the set of perfect squares. list the first 5 elements of set
stepladder [879]

The first 5 elements of set H, which contains numbers in G that are also elements of F are {4, 16, 36, 64, 100}.

<h3>What is intersection of sets?</h3>

The intersection of two sets has been the set that includes each of the elements which are shared by both sets.

The symbol for set intersection is  "∩''. The intersection, A ∩ B (read as A intersecting B) lists all the items that really are present in both sets and constitute the common elements of A and B for any two sets A and B.

Now, according to the question;

Set G is the set of positive integers divisible by 4, and

Set F is the set of perfect squares;

Then,

G = {4; 8; 12; 16; 20; 24; 28; 32; 36; 40; 44; 48; 52; 56; 60; 64; 68; 72; 76; 80; 84; 88; 92; 96; 100; 104; ...}

F = {1; 4; 9; 16; 25; 36; 49; 64; 81; 100; ...}

So, by the intersection of the sets;

G ∩ F - a intersection of the two sets, that is, what numbers are present in both sets at the same time.

G ∩ F = {4; 16; 36; 64; 100}

Therefore, The first 5 elements of set H, which have the same numbers in G as elements of F are {4, 16, 36, 64, 100}.

To know more about the intersection of sets, here

brainly.com/question/11439924

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8 0
2 years ago
Find the indicated partial derivative. Z = u v − w ; ∂3z ∂u ∂v ∂w.
insens350 [35]

The indicated partial derivative of z is; 1.

<h3>Partial derivatives</h3>

According to the question:

  • We are required to determine the partial derivative of the variable z.

The given value of z is; Z = u, v, −w

Hence, it follows that;

  • Z = u + v -w

d³z = ∂/∂u(u) + ∂/∂v(v) - ∂/∂w(w)

Ultimately, the value of ∂³z is; 1.

Read more on partial derivatives;

brainly.com/question/2293382

8 0
3 years ago
A soccer field has a perimeter of 326 metres. Its area is 6370 square metres. What are the dimensions of the field?
Burka [1]

Answer:

Step-by-step explanation:

chiều dài:x,x>0

chiều   rộ:y

\left \{ {({x+y)*2=326} \atop {xy=6370}} \right.

\left \{ {{x+y=163} \atop {xy=6370}} \right.

\left \{ {{y=163-x} \atop {xy=6370}} \right.

\left \{ {{y=163-x} \atop {x*(163-x)=6370}} \right.

\left \{ {{y=163-x} \atop {163x-x^{2} =6370}} \right. \\

\left \{ {{y=163-x} \atop {x_{1} =98; x_{2} =65}} \right.

\left \{ {{y=65} \atop {x=98}} \right.

4 0
3 years ago
Help needed! Trying to get answer
Angelina_Jolie [31]
1/27 and (3^15)*(3^-18)
4 0
3 years ago
Will mark brainliest.
andrezito [222]

Answer:

815

Step-by-step explanation:

First you put the value of x from the table into the formula provided.

<em>y = -670 + 33(x) </em><= plug in the x value from the table

<em>y = -670 + 33(45)</em> <= multiply 33 * 45

<em>y = -670 + 1485</em> <= add the two terms (which you will subtract because one is positive and one is negative.

<em>y = 815</em>

3 0
4 years ago
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