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3 years ago

14

Solve 3a +b =225 b-a =25

2 answers:

lesya [120]3 years ago

6 0

If you are solving by substituting A=50 and B=75

EastWind [94]3 years ago

3 0

Answer:

a = 50 and b = 75

Step-by-step explanation:

The given equations are

3a + b = 225 ------------(1)

b - a = 25 ----------------(2)

We have to solve these equations to find the value of a & b .

Now we will multiply equation (2) by 3 and add it to equation (1)

(3a + b) + 3 (b-a) = 225 + 3 × 25

(3a + b) + (3b - 3a) = 225 +75

(3a - 3a) + (b + 3b) = 300

4b = 300

b = $\frac{300}{4}=75$

Now we put the value of b = 75 in equation (2)

75 - a = 25

-a = 25 -75

-a = -50

a = 50

Therefore, a = 50 and b = 75 will be the answer.

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An employer pays each employee a minimum monthly salary of $400.00 plus $.80 per unit completed. What is the gross pay of an emp

Oksana_A [137]

Here is the procedure step by step. 1) Set the equation that models the situation: gross pay = 400.00 + 0.80x, where x is the number of units completed by the worker. 2) Substitute the value of x for 1425 units: gross pay = $400.00 + $0.80 (1425). 3) Do the math: gross pay = $400.00 + $1140 = $1540. Then,the answer is $ 1540.

4 0

3 years ago

In the right ∆ABC, the hypotenuse AB = 17 cm. M is the midpoint of the hypotenuse. Find the legs if PAMC=32 cm and PBMC=25 cm

jeyben [28]

Answer:

The length of the legs is 8.64cm and 14.64cm respectively

Step-by-step explanation:

I've added an attachment to aid my explanation.

At different intervals, I'll be making reference to it.

Given

$AB = 17$

$PAMC = 32$

$PBMC = 25$

From the attachment, we have:

$y + z = AB$

Since, M is the Midpoint

$y = z = \½AB$

Substitute 17 for AB

$y = z = \½ * 17$

$y = z = 8.5$

Also, from the attachment

$v + x + z = PAMC$

$v + x + y = 32$

Substitute 8.5 for y

$v + x + 8.5 = 32$

$v + x = 32 - 8.5$

$v + x = 23.5$ --------- (1)

Also, from the attachment

$v + w + z = 25$

Substitute 8.5 for z

$v + w + 8.5 = 25$

$v + w = 25 - 8.5$

$v + w = 17.5$ ----------- (2)

Subtract (2) from (1)

$v - v + x - w = 23.5 - 17.5$

$x - w = 6$

Make x the subject

$x = 6 + w$

Apply Pythagoras Theorem:

We have that:

$AB^2 = AC^2 + BC^2$

The above can be replaced with

$17^2 = x^2 + w^2$ (see attachment)

$289 = x^2 + w^2$

Substitute 6 + w for x

$289 = (6 + w)^2 + w^2$

$289 = 36 + 12w + w^2 + w^2$

$289 - 36 = 12w + 2w^2$

$253 = 12w + 2w^2$

Reorder

$2w^2 + 12w - 253 = 0$

Solve using quadratic equation:

$w = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

Where

$a = 2$

$b = 12$

$c = -253$

$w = \frac{-12 \± \sqrt{12^2 - 4 * 2 * -253}}{2 * 2}$

$w = \frac{-12 \± \sqrt{144 + 2024}}{4}$

$w = \frac{-12 \± \sqrt{2168}}{4}$

$w = \frac{-12 \± 46.56}{4}$

Split:

$w = \frac{-12 + 46.56}{4}$ or $w = \frac{-12 - 46.56}{4}$

$w = \frac{34.56}{4}$ or $w = \frac{-58.56}{4}$

$w = 8.64$ or $w = -14.64$

But length can't be negative

So:

$w = 8.64$

Recall that: $x = 6 + w$

$x = 6 + 8.64$

$x = 14.64$

<em>Hence, the length of the legs is 8.64cm and 14.64cm respectively</em>

5 0

3 years ago

What is the 10th term in the pattern with the formula 10n – 8?

-Dominant- [34]

The answer to this is 100.

6 0

4 years ago

7.Identify the form of the equation –3x – y = –2. To graph the equation, would you use the given form or change to another form?

melisa1 [442]

Change it
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6 0

4 years ago

For the function shown below, find f(3): f(x)=2x^4-8x^2+5x-7

a_sh-v [17]

We have been given the function

$f(x)=2x^4-8x^2+5x-7$

We have to find the value of f(3). In order to find the same, substitute x=3 in the given function.

$f(3)=2(3)^4-8(3)^2+5(3)-7$

Now, we simplify this step by step.

First of all $3^4=81\text{ and }3^2=9$ . Thus, we have

$f(3)=2\times 81 -8\times 9+5(3)-7$

Now, we can easily simplify it by PEMDAS

$f(3)=162-72+15-7$

$f(3)=98$

Therefore, the value of f(3) is 98.

3 0

3 years ago

Read 2 more answers