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Basile [38]
3 years ago
11

If 21 is added to a number the result is 40 less than twice the number what is the number?

Mathematics
1 answer:
Karolina [17]3 years ago
7 0
If 21 is added to (+ 21) a number (x) the result (=) is 40 less than (- 40) twice the number (2x)

x + 21 = 2x - 40   Add 40 to both sides
x + 61 = 2x           Subtract x from both sides
      61 = x             Switch the sides to make it easier to read
       x = 61


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olga_2 [115]
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4 0
3 years ago
Hi, having trouble understanding this question.. as well as solving it.
kramer

-- You have two angles.

-- They're complementary . . . they add up to 90 degrees.

-- One is 4 times as big as the other one.
___________________________________________

-- The smaller angle has 1 share of the 90 degrees.

-- The bigger angle has 4 shares of the 90 degrees.

-- (The smaller one is 1/4 the size of the bigger one.
   The bigger one is 4 times the size of the smaller one.)

-- When you add them together, you get 5 shares, totaling 90 degrees.

-- What's the size of each share ?  It's 90/5 = 18 degrees.

-- The smaller angle gets one share . . . 18 degrees.

-- The bigger angle gets 4 shares.   (4 x 18) = 72 degrees.
____________________________________

Check:

-- Is the small one 1/4 the size of the big one ?    18/72 = 1/4  Yes.

-- Are they complementary ?  Do they add up to 90 degrees ?

                                                                       18 + 72  =  90  Yes.

                                                                                 yay !
6 0
3 years ago
Read 2 more answers
Jeff was already 7 miles out of town when his sister
Nikolay [14]

The sister catches up Jeff after 2 hours

Step-by-step explanation:

We can write Jeff's position and his sister position at time t using the following expressions:

- Jeff position:

x_j(t) = 7 + 2.5 t

where:

7 is the initial position of Jeff when his sister sarts chasing him

2.5 is Jeff's velocity (in miles/hour), so its position increases by 2.5 miles for each hour

t is the time measured in hours

- Sister position:

x_s(t) = 6t

where

6 is the sister velocity (her position increases by 6 miles for every hour)

t is the time measured in hours

The sister catches up Jeff when the two positions are equal, so

x_j(t) = x_s(t)\\7+2.5t=6t

And solving for t,

7+2.5t-2.5t=6t-2.5t\\7=3.5t\\t=\frac{7}{3.5}=2 h

So, the sister catches Jeff after 2 hours.

Learn more about speed:

brainly.com/question/8893949

#LearnwithBrainly

5 0
3 years ago
Graph the linear equation by the point plotting method or by finding intercepts -2y + 10 = 0 ​
Nadusha1986 [10]

Answer:

Your answer is

Intercept is = 5

(x,y)= (0,5)

Hope that this is helpful. Tap the crown button, Like & Follow me

5 0
3 years ago
6th grade math help me pleaseeee
Step2247 [10]

Answer:

5

Step-by-step explanation:

Count the number of people not in the soccer circle that are not girls

2+3

5

3 0
3 years ago
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