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2 years ago

The larger of two numbers is 15 more than 3 times the smaller number. If the sum of the two numbers is 63 find the numbers

Mathematics

1 answer:

scoray [572]2 years ago

3 0

Answer:

X = 51

Y = 12

Step-by-step explanation:

2 numbers: (Larger) Number 1 is x and Number 2 is y

The equation is x + y = 63

x = 3y +15
y = y

New equation is:

3y + 15 + y = 63

Combine like variables:

4y + 15 = 63

Solve:

4y + 15 - 15 = 63 - 15
4y = 48

Divide 4 from each side:

y = 12

To find x fill in the variables from the 'x =' equation:

x = 3y + 15
x = 3( 12) + 15
x = 51

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two years of local internet service cost $685 including the installation fee of $85 what is the monthly fee?

zimovet [89]

2 years is the same as 24 months, so the equation would be:
685 = 24x + 85, where x is the monthly fee.
600 = 24x
600/24 = x
x = 25
The monthly fee is $25.

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2 years ago

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In triangle XYZ, angle Y = 45º and angle Z = 60º. If XZ = 4, then what is XY?

Katena32 [7]

Answer:

$XY = 4.9$

Step-by-step explanation:

Given

$XZ= 4$

$\angle Y = 45$

$\angle Z = 60$

Required

Determine the measure of side XY

To do this, we make use of sine law. This is as follows:

$\frac{a}{\sin\ A} = \frac{b}{\sin\ B} = \frac{c}{\sin\ C}$

In this case:

$\frac{4}{\sin(45)} = \frac{XY}{\sin(60)}$

Cross Multiply

$XY * \sin(45) = 4 * \sin(60)$

$XY * 0.7071 = 4 * 0.8660$

Make XY the subject

$XY = \frac{4 * 0.8660}{0.7071}$

$XY = \frac{3.4640}{0.7071}$

$XY = 4.89888276057$

$XY = 4.9$ -- approximated

3 0

3 years ago

Which equation does not represent a quadratic function?

Kryger [21]

$\text{A quadratic function is in the form of } ~ f(x)=ax^2 +bx+c.\\\\\\y=x+5 ~ \text{is linear so it is not in a form of quadratic function.}$

3 0

2 years ago

An estate of $613,000 is left to three siblings. The eldest receives 2 times as much as the youngest. The middle sibling receive

Assoli18 [71]

Answer:

Eldest: $298500

Middle: $165250

Youngest: $149250

Explanation:

We can show the siblings like this:

e=2y (eldest)

m=16000+y (middle)

To find the value of y, or the youngest sibling, we use an equation.

2y+16000+y+y=613000

Simplify:

4y+16000=613000

Subtract 16000 on both sides:

4y=597000

Divide both sides by 4:

y=149250

The youngest received $149250.

Knowing this, we can plug in the numbers into the original formulas:

e=2(149250)=298500 ...or $298500

m=16000+149250=165250 ...or $165250

y=149250 ...or $149250

Add all those numbers up, and you reach $613000.

7 0

2 years ago

I need this answered please

MA_775_DIABLO [31]

I hope this helps

3x-y=13

step 1: add y to both sides

3x-y+Y=13+Y

3x=y+13

step 2: divide both sides by 3

3x/ 3 = y+13/3

x=1/3y+ 13/3

answer: x=1/3y+13/3

8 0

2 years ago