All categories

3 years ago

10m-3(2m-9)=9(m-1)+1

Mathematics

1 answer:

Studentka2010 [4]3 years ago

3 0

Reorder the terms 10m+(-9*-3+2m*-3)=9(m+-1)+1
combine like terms 10m+-6m=4m 27+4m = 9(m+-1)+1
solve 27+4m=-8+9m
m=7

You might be interested in

Micah has three 6-foot-long sandwiches. He needs to cut pieces that are 8 inches long from the sandwiches. What is the greatest

pshichka [43]

Answer:

27 pieces

Step-by-step explanation:

1) first, multiply 6 times 3 (6×3=18)

2) 1 ft = 12 in. so you multiply the 18 by 12 (18×12=216)

3) now you divide the 216 by 8 (216÷8=27)

6 0

3 years ago

If each chip has a length of 35 nanometers (nm), how many would you need to circle the Earth. Which has a radius of 6,371 km? (S

kodGreya [7K]

Answer:

1144.18 e-12 chips

Step-by-step explanation:

Conversation rate of nanometers

1 nanometers =1* 10^-12 km

35 nanometers= 35 *10^-12

Radius of earth= 6371 km

Circumference of earth = 2πr

Circumference= 2*22/7*6371

Circumference=40046.29 km

The number of chips to be used to circle the earth

= 40046.29/35 *10^-12

=1144.18 *10^-12

= 1144.18 e-12 chips

4 0

3 years ago

The population of a small town in central Florida has shown a linear decline in the years 2005-2013. In 2005 the population was

n200080 [17]

Answer:

Step-by-step explanation:

the population 761.B

5 0

3 years ago

What is square root of 5 show work

ser-zykov [4K]

There is no square root of five...

5 0

3 years ago

A secant and a tangent to a circle intersect in a 42-degree angle. The two arcs of the circle intercepted by the secant and the

Amanda [17]

Answer:

The measure of the third arc is $150\°$

Step-by-step explanation:

step 1

we know that

The measurement of the external angle is the semi-difference of the arcs which comprises

in this problem

Let

x----> the greater arc of the circle intercepted by the secant and the tangent

y----> the smaller arc of the circle intercepted by the secant and the tangent

$42\°=\frac{1}{2}(x-y)$

$84\°=(x-y)$ ----> equation A

$\frac{x}{y}=\frac{7}{3}$

$x=\frac{7}{3}y$ -----> equation B

Substitute equation B in equation A and solve for y

$84\°=(\frac{7}{3}y-y)$

$84\°=(\frac{4}{3}y)$

$y=3*84\°/4=63\°$

Find the value of x

$x=\frac{7}{3}(63\°)=147\°$

step 2

Find the measure of the third arc

Let

z------> the measure of the third arc

we know that

$x+y+z=360\°$ -----> complete circle

substitute the values and solve for z

$147\°+63\°+z=360\°$

$z=360\°-(147\°+63\°)=150\°$

3 0

3 years ago