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mart [117]
3 years ago
5

Lola goes hiking every 10 days and swimming every 4 days. She did both kinds of exercise today. How many days from now will she

next go both hiking and swimming again?
Mathematics
1 answer:
melisa1 [442]3 years ago
8 0

Answer:

20 days

Step-by-step explanation:

The next common number is 20

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A Ladder that is 32 ft long leans against a building. The angle of elevation of the ladder is 70 degrees. To the nearest tenth o
kolezko [41]
See the picture attached to better understand the problem

we know that
in the right triangle ABC
sin 70°=opposite side angle 70°/hypotenuse


in this problem
opposite side angle 70°=AB
hypotenuse=AC----> 32 ft
sin 70°=AB/32------> AB=32*sin 70°-----> AB=30.07 ----> AB=30.1 ft


4 0
3 years ago
Read 2 more answers
-2 (4x-9) = -18 ×=___​
Dahasolnce [82]

Answer:

x = 9/2 or 4 1/2 or 4.5

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve. Hope this helped :)!

5 0
3 years ago
A line has slope 2/3 and y intercept -2. Which answer is the equation of the line?
Bingel [31]

Answer:

y=2/3x-2

Step-by-step explanation:

All of the given options are in slope intercept form.

Slope intercept form is y=mx+b

This is where m is the slope fo the line and b is the y intercept

That said, we can simply plug the given values into the form.

y=(2/3)x+(-2)

Simplify

y=2/3x-2

6 0
3 years ago
Read 2 more answers
Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 78%.
olganol [36]
The answer is:  "39 points" .
_______________________________________________________
Explanation:
_______________________________________________________
" x/ 50 = 78/100 " ;   in which "x" equals the number of points needed.

_______________________________________________________

To solve for "x" ; 
_______________________________________________________

Look at the denominators:  50 * (what value?) = 100.

→ "100 ÷ 50 = 2" .

→ So;  "50 * 2 = 100" ; 

So, let us look at the numerators:

x * 2 = 78 ; 

↔  2x = 72 ; 

Divide each side of the equation by "2" ; to isolate "x" on one side of the equation ; and to solve for "x" ;
_____________________________________________
 →  78 ÷ 2 = 39 ;

The answer is:  "39 points" .
_____________________________________________


4 0
3 years ago
Solve each system using elimination PLEASE HELP!!!
Mrrafil [7]
1.
8x+5y=6 \ \ \ |\times 2 \\
3x-2y=10 \ \ \ |\times 5 \\ \\
16x+10y=12 \\
\underline{15x-10y=50} \\
16x+15x=12+50 \\
31x=62 \ \ \ |\div 31 \\
x=2 \\ \\
3x-2y=10 \\
3 \times 2-2y=10 \\
6-2y=10 \ \ \ |-6 \\
-2y=4 \ \ \ |\div (-2) \\
y=-2 \\ \\
(x,y)=(2,-2)

2.
-3x+8y=10 \ \ \ |\times 5 \\
5x+6y=80 \ \ \ |\times 3 \\ \\
-15x+40y=50 \\
\underline{15x+18y=240 \ \ } \\
40y+18y=50+240 \\
58y=290 \ \ \ |\div 58 \\
y=5 \\ \\
5x+6y=80 \\
5x+6 \times 5=80 \\
5x+30=80 \ \ \ |-30 \\
5x=50 \ \ \ |\div 5 \\
x=10 \\ \\
(x,y)=(10,5)

3.
4x+12y=-24 \\
3x-6y=-18 \ \ \ |\times 2 \\ \\
4x+12y=-24 \\
\underline{6x-12y=-36} \\
4x+6x=-24-36 \\
10x=-60 \ \ \ |\div 10 \\
x=-6 \\ \\
3x-6y=-18 \\
3 \times (-6)-6y=-18 \\
-18-6y=-18 \ \ \ |+18 \\
-6y=0 \ \ \ |\div (-6) \\
y=0 \\ \\
(x,y)=(-6,0)

4.
5x-6y=48 \ \ \ |\times 2 \\
2x+5y=-3 \ \ \ |\times (-5) \\ \\
10x-12y=96 \\
\underline{-10x-25y=15} \\
-12y-25y=96+15 \\
-37y=111 \ \ \ |\div (-37) \\
y=-3 \\ \\
2x+5y=-3 \\
2x+5 \times (-3)=-3 \\
2x-15=-3 \ \ \ |+15 \\
2x=12 \ \ \ |\div 2 \\
x=6 \\ \\
(x,y)=(6,-3)
8 0
3 years ago
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