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3 years ago

Explain how you could use a number line to solve 70-50

Mathematics

2 answers:

Temka [501]3 years ago

7 0

You can use a number line to to solve this problem by moving the places

yaroslaw [1]3 years ago

4 0

So you would make your number line from 0 to 100 and each step on the number line would be 10. So go to 70 and count the number of steps needed to get to 50. Then take that number (2) and multiply it by 10 because each step was 10. So the anwser is 20

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14 through 19 whole problem solving and answers

Sergio039 [100]

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3 years ago

Read 2 more answers

In triangle abc, a is a right angle, and ab = 16√3, and the measure of b=30 degrees. What is the length of ac.

salantis [7]

Answer:

the length of ac is 16.

Step-by-step explanation:

Given;

A is right angle, = 90⁰

B is 30⁰

ab = 16√3

↓

↑

A → ← B

If this right angle triangle is considered, length bc is the hypotenuse and length ac is the opposite side of angle B.

The length of ac is calculated as follows;

$tan \ B = \frac{opposite \ side}{adjacent \ side} \\\\tan \ B = \frac{ac}{ab} \\\\ac = ab \ \times \ tan \ B\\\\ac = 16\sqrt{3} \ \times \frac{\sqrt{3} }{3} \\\\ac = \frac{16 \sqrt{9} }{3} \\\\ac = \frac{16 \times 3}{3} \\\\ac = 16$

Therefore, the length of ac is 16.

6 0

2 years ago

The average price of a gallon of gas increased by 12% in 2010 and by 10% in 2011. By what percentage did the average price of a

Leto [7]

Answer:

16.67% increase

Step-by-step explanation:

finding the percentage price increase

we need to find the difference in percentage price between the 2 years

12%-10% = 2%

2%/12% x 100% = 100%/6 = 16.67%

20% increase between January 1st 2010 and January 1st 2011

7 0

3 years ago

Find the value of x.

Tatiana [17]

$\large \mathfrak{Solution : }$

The given pair of angles are vertical opposite angle pair so, they are equal. i.e

$(x + 90)\degree = 4x\degree$

$(4x - x) \degree= 90\degree$

$3x\degree = 90\degree$

$x\degree = \dfrac{90\degree}{3\degree}$

$x\degree = 30\degree$

8 0

3 years ago

Read 2 more answers

This season, Lisa's lacrosse team has won $\frac 23 of their home games (games played at Lisa's school), but just $\frac 25 of t

juin [17]

Answer:

Lisa's team have played 24 home games and 25 away games.

Step-by-step explanation:

Given:

Let $x$ represents games played at home.

also $y$ represent games played away.

Total number of games played = 49

∴ $x+y=49 \ \ \ \ equation \ 1$

Now according to given data:

Number of home games won = $\frac{2}{3}$

Number of away game won = $\frac{2}{5}$

Total games won =26

Hence

$\frac{2}{3}x+\frac{2}{5}y=26\\\\\frac{2\times 5}{3\times 5}x+\frac{2\times 3}{5\times 5}y=26\\\\\frac{10}{15}x+\frac{6}{15}y=26\\\\\frac{10x+6y}{15}=26\\\\10x+6y= 26\times 15\\10x+6y = 390\\2(5x+3y)=390\\5x+3y=\frac{390}{5}\\\\5x+3y=195 \ \ \ \ equation \ 2\\$

Now multiplying equation 1 by 3 we get,

$3(x+y)=3\times49\\3x+3y=147 \ \ \ \ \ equation \ 3\\$

Now Subtracting equation 2 by equation 3 we get,

$(5x+3y=195)-(3x+3y=147)\\2x=48\\x= \frac{48}{2}=24$

Substituting value of x in equation 1 we get.

$x+y=49\\24+y=49\\y=49-24=25$

Hence Lisa's team have played 24 home games and 25 away games.

3 0

3 years ago