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rewona [7]
2 years ago
9

The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller number. Find the numbers

Mathematics
1 answer:
e-lub [12.9K]2 years ago
7 0

Answer:

The numbers are 19 and 71.

Step-by-step explanation:

Let x and y represent the two numbers.  Then x + y = 90.  

Also, if we assume that the larger number is y, then y = 3x + 14.

We must solve this system of linear equations.  Since we already have the result of solution for y  (y = 3x + 14), let's use the substitution method to find the solution:

x + y = 90 becomes x + 3x + 14 = 90, or:

4x = 76.  Thus, x = 76/4, or 19.       If x = 19, then y = 3(19) + 14, or y = 71.

The numbers are 19 and 71.

Note that these add up to 90, as they must, and that 71 is 14 more than 3 times 19.

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you are buying a new printer and a new scanner for your computer and you cannot spend over $150. The printer you want costs $80.
ira [324]

It is given in the question that

You are buying a new printer and a new scanner for your computer and you cannot spend over $150. The printer you want costs $80.

Let the price of scanner be $ x .

So we have

x+ 80\leq   150

Subtracting 80 from both sides

x\leq  70

It means , the price should be not more then $70 .

Therefore in case, the price of scanner is $75, then you will not remain within your budget .

6 0
1 year ago
Hank draws a line with a zero slope through the points (–2, 4) and (3, b). Which value of b could represent Hank’s second point?
BartSMP [9]
4 
(-2,4)(3,4)

4-4. / 3- -2=. 0/5=0

So the answer is 4

Hope this helped
5 0
1 year ago
Read 2 more answers
Leftover Expression
Mumz [18]

The second leftover expression is not o(a+b). It is 6(a + b). I have attached the correct question to depict that.

Answer:

The equivalent expressions are;

8a + 2 and 6a + 6b

Step-by-step explanation:

The two leftover expressions are given as;

2(4x + 1) and 6(a + b)

In algebra, equivalent expressions are simply those expressions which when simplified, give the same resulting expression as the initial one.

Thus simply means expanding or collecting like times to make it clearer.

Now, in our question, like terms have already been collected. This means that to find an equivalent expression, we will just expand the bracket.

Thus;

2(4x + 1) will be expanded by using the 2 outside the bracket to multiply the terms inside the bracket. This gives;

8x + 2

Similarly,

6(a + b) will be expanded by using the 2 outside the bracket to multiply the terms inside the bracket. This gives;

6a + 6b

Thus;

The equivalent expressions are;

8a + 2 and 6a + 6b

4 0
1 year ago
Let L be the line with parametric equations x=2+t, y=1-t, z=1+3t.Let v=(1,2,0).Find vectors w1 and w2 such that v= w1 + w2, and
charle [14.2K]

Answer:

w1 = (-1/11, 1/11, -3/11)

w2 = (12/11, 21/11, 3/11)

Step-by-step explanation:

Direction ratio of w1 = Direction ratio of L (because parallel) = K+(1, -1, 3)

Let <a,b,c> be direction ratio of w2.

Then, <a,b,c>. <1,-1,3> = 0

a-b+3c = 0

v = w1 + w2

(1, 2, 0) = k(1, -1, 3) + (a, b, c)

a + k = 1

b - K = 2

c - 3k = 0

Solving 4 equations, a = 12/11, b= 21/11, c = 3/11, k=-1/11

So, w1 = -1/11(1, -1 ,3) = (-1/11, 1/11, -3/11)

w2 = (12/11, 21/11, 3/11)

6 0
1 year ago
Which of the following is the graph of y = negative 4 StartRoot x EndRoot?
weeeeeb [17]

Answer:

Use a graphing calculator.

Step-by-step explanation:

Graph:

f(x) = -4√x

6 0
2 years ago
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