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REY [17]
3 years ago
5

There were 14 people at home. Ten people were watching a football game. Four people were playing a board game. Eight people left

. How many people stayed?
Mathematics
2 answers:
arsen [322]3 years ago
8 0
Six people stayed at home because 10+4=14 meaning every one is home but 8 people left the house meaning 14-8=6

therefore 6 people stayed home
dangina [55]3 years ago
7 0

Six people stayed. 14-8=6
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Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S
Harman [31]
ANSWER

y =  \frac{3}{2} x + 8



EXPLANATION

The line given to us has equation,

2x + 3y = 9

We need to write this equation in the slope intercept form to obtain,


3y =  - 2x + 9



\Rightarrow \: y =  -  \frac{2}{3}x + 3


The slope of this line is

m_1 =  -  \frac{2}{3}
Let the slope of the perpendicular line be

m_2

Then
m_1 \times m_2 =  - 1


-  \frac{2}{3} m_2=  - 1

This implies that,

m_2 =  - 1 \times  -  \frac{3}{2}


m_2 =  \frac{3}{2}



Let the equation of the perpendicular line be,

y = mx + b

We substitute the slope to get,


y =  \frac{3}{2} x + b

Since this line passes through
(-2,5)
it must satisfy its equation.


This means that,

5=  \frac{3}{2} ( - 2)+ b


5 =  - 3 + b



5 + 3 = b


b = 8

Wherefore the slope-intercept form is

y =  \frac{3}{2} x + 8
6 0
3 years ago
I need help on these questions can u make sure u do all of them cuz some people just only do one problem.
ioda
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8 0
2 years ago
On a 15 hour trip, Rob drove 35% of the time and Mark drove the remainder of the time. How many hours did Mark drive? Explain 9.
Zigmanuir [339]

Answer:

9.75 hours

Step-by-step explanation:

If Rob drove 35% of the time and Mark drove the remainder of the time, the total is 100 %

100-35 = 65

so Mark drove 65% of the time

The total time driven was 15 hours, so we multiply the total time driven by the percentage of time that Mark drove to find the number of hours that Mark drove.

15 * 65%

15*.65

9.75 hours

7 0
3 years ago
Beverage A and Beverage B are sold in identical cans. Beverage A is 4% sugar. The portion of Beverage B that is sugar is 0.21. H
V125BC [204]

Answer:

5.25 times

Step-by-step explanation:

Beverage A and Beverage B are sold in identical cans.

From the above question

Beverage A is 4% sugar.

The portion of Beverage B that is sugar is 0.21.

Converting Portion of sugar in Beverage B to percentage we have :

0.21 × 100

= 21%

How many times more sugar is in Beverage B than Beverage A?

This is calculated as:

% Beverage B/% Beverage A

= 21%/4%

= 5.25

Hence Beverage B has 5.25 times more sugar than Beverage A.

4 0
3 years ago
Please help with this question
Nadya [2.5K]

<em>Answer</em><em>:</em>

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<em>Solution</em><em>,</em>

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<em><</em><em>X=</em><em><</em><em>y(</em><em> </em><em>alternate</em><em> </em><em>angles)</em>

<em>w+</em><em>x</em><em>=</em><em>y+</em><em>z</em>

<em>Hope </em><em>this </em><em>helps.</em><em>.</em>

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5 0
3 years ago
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