All categories

3 years ago

Is the given value a solution to the equation?

Mathematics

2 answers:

irinina [24]3 years ago

6 0

Yes.
9m-3m=1+19
6m=20
m=20/6=10/3

Vanyuwa [196]3 years ago

5 0

The answer is 54 hope this is right I did all the math

You might be interested in

M <N= ...the scale factor is 2

aivan3 [116]

We know that the sum of the internal angles in each triangle is 180°.

Therefore we have the equation:

$m\angle C+m\angle D+m\angle E=180^o$

substitute and solve:

$79+(6x+11)+(7x-14)=180\\(6x+7x)+(79+11-14)=180\\13x+76=180\ \ \ |-76\\13x=104\ \ \ |:13\\x=8$

We have

$m\angle N=3x+18$

substitute the value of x to the expression:

$m\angle N=3(8)+18=24+18=42$

Answer: m∠N = 42 degrees

7 0

3 years ago

Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution. Which equation c

Alex17521 [72]

Answer:

Equation is $0.5 \text{ gal }\times(0.1)+ x\text{ gal }\times (0.35)=(0.5 + x)\times (0.15)$

0.125 gallons of the 35% acid solution Eli should add.

Step-by-step explanation:

Given : Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution.

To find : Equation can you use to determine how many gallons of the 35% acid solution Eli should add?

Solution :

Let x be the gallons of the 35% acid solution.

According to question,

For 0.5 gallon of a 10% acid solution = $0.5\times 0.1$

For x gallon of a 35% acid solution = $x\times 0.35$

For (0.5+x) gallon of a 15% acid solution = $0.5+x\times 0.15$

The equation form is

$0.5 \text{ gal }\times(0.1)+ x \text{ gal }\times(0.35)= (0.5+x)\times (0.15)$

Solving the above equation,

$0.05+0.35x = 0.075 + 0.15x$

$0.2x = 0.025$

$x =\frac{0.025}{0.2}$

$x=0.125$

Therefore, 0.125 gallons of the 35% acid solution Eli should add.

The equation is $0.5 \text{ gal }\times(0.1) + x \text{ gal }\times(0.35) =(0.5 + x)\times (0.15)$

3 0

3 years ago

Read 2 more answers

Simplify each expression. (7x+x^4+x^3)-(6x-2x^3+8x^4)

aleksandrvk [35]

the answer is x + 3x^3 - 7x^4

8 0

3 years ago

What is the solutionfor this equation? 5x +9=2.5 I really need to make sure I did this right

solmaris [256]

Answer:

x = -1.3

Step-by-step explanation:

5x +9=2.5

subtract 9 from both sides

5x = -6.6

divide both sides by 5

x=-1.3

4 0

3 years ago

Read 2 more answers

3ab 1. monomial 2. binomial 3. trinomial 4. none of these

san4es73 [151]

It’d be a binomial because there are two different terms (a and b)

6 0

3 years ago