All categories

3 years ago

(5m+100) (2m+10) value of m

Mathematics

1 answer:

kakasveta [241]3 years ago

7 0

Answer:

the answer to the question is 4.4

You might be interested in

Solve for x: 3+x=2x=?

Leokris [45]

Answer:

x=3

Step-by-step explanation:

3+x=2x

Subtract x from each side to get the variable on one side

3+x-x=2x-x

3 = x

4 0

3 years ago

Read 2 more answers

Helppppp how do u do number 1?

VashaNatasha [74]

Only A
And only when x = 1

Nothing else works.

4 0

3 years ago

Which function is increasing?? :)

exis [7]

Answer:

$\large\boxed{B.\ f(x)=4^x}$

Step-by-step explanation:

Exponential function $f(x)=(a)^x$ is

increasing if $a > 1\to a\in(1,\ \infty)$

decreasing if $0 < a < 1\to a\in(0,\ 1)$

$A.\ f(x)=\left(\dfrac{1}{4}\right)^x\to a=\dfrac{1}{4}\in(0,\ 1)\to\text{decreasing}\\\\B.\ f(x)=4^x\to a=4\in(1,\ \infty)\to\text{increasing}\\\\C.\ f(x)=(0.4)^x\to a=0.4\in(0,\ 1)\to\text{decreasing}\\\\D.\ f(x)=\left(\dfrac{1}{2}\right)^x\to a=\dfrac{1}{2}\in(0,\ 1)\to\text{decreasing}$

7 0

3 years ago

SOLVING ABSOLUTE VALUE EQUATION

Ratling [72]

Answer:

1. x=27

2. x=11 or x=-7

3. x=4

4. x=1 or $x=\frac{1}{3}$

5. x=12

6. x=11 or x=-1

7. x=8

8. x=3 or x=1

9. $x=\frac{13}{2}$ or x=-4

10.x=7 or x=1

Step-by-step explanation:

For the first 8, the absolute value portion is just substituted in for x, so we can skip some of the repeated work that would occur in these. For the absolute value problems, there are two solutions each. When you remove an absolute value, you have to add a plus or minus to each side and solve for each.

1. $5x+9=144\\5x=135\\x=27$

2. $|3x-6|=27\\3x-6=27\\3x=33\\x=11\\\\3x-6=-27\\3x=-27\\x= -7$

3. $\frac{x}{7-3} =1\\\frac{x}{4} =1\\x=4$

4. $|12x-8|=4\\12x-8=4\\12x=12\\x=1\\\\12x-8=-4\\12x=4\\x=\frac{4}{12} \\\\x=\frac{1}{3}$

5. $\frac{2}{3}x-11=-3\\\frac{2}{3}x=8\\x=\frac{24}{2}\\ x=12$

6. $|2x-10|=12\\2x-10=12\\2x=22\\x=11\\\\2x-10=-12\\2x=-2\\x=-1$

7. $\frac{4x-5}{3} =9\\4x-5=27\\4x=32\\x=8$

8. $|8x-16|=8\\8x-16=8\\8x=24\\x=3\\\\8x-16=-8\\8x=8\\x=1$

9. $|4x-5| +15=36\\|4x-5|=21\\4x-5=21\\4x=26\\x=\frac{26}{4} \\x=\frac{13}{2} \\\\4x-5=-21\\4x=-16\\x=-4$

10. $6|3x-12|-5=49\\6|3x-12|=54\\|3x-12|=9\\3x-12=9\\3x=21\\x=7\\\\3x-12=-9\\3x=3\\x=1$

7 0

3 years ago

In a classroom of 33 students, the ratio of boys to girls is 3:8. How many boys are in the class?

Hunter-Best [27]

X=number of boys
y=number of girls.

We can suggest the following system of equations:
x+y=33
x/y=3/8

We solve this system of equations by substitution method.
x/y=3/8 ⇒x=3y/8

(3y/8)+y=33
least common multiple=8
3y+8y=33*8
11y=33*8
y=(33*8)/11
y=3*8
y=24

x+y=33
x+24=33
x=33-24
x=9

number of boys /total number of students=9/33=3/11

There are 9 boys and 24 girls in the class.

Answer: C: 9. since 3/11 of the students are boys.

3 0

3 years ago

Read 2 more answers