MATHEMATICS HIGH SCHOOL

Sandy walked around her neighborhood. In ½ hour, she walked 1 and 1/5 miles. What is Sandy’s rate in miles per hour?

Answers

Answer 1

Answer:

Answer:

2 2/5 miles per hour

Step-by-step explanation:

We want to find the miles per hour

Changing the miles to an improper fraction

1 1/5 = ( 5*1+1)/5 = 6/5 miles

6/5 miles

Divide by the number of hours 1/2

6/5 ÷ 1/2

Copy dot flip

6/5 * 2/1

12/5

Change back to a mixed number

2 2/5 miles per hour

Answer 2

Answer: She walked 2 2/5 mph

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You have $28.49. You spend $14.95 at a bowling alley. You win $35.00 for setting the record score for your age group. How much money do you have now?

Answers

Answer:

48.54‬

Step-by-step explanation:

You start of with 28.49, you spend (Subtract) 14.95, which gives us 13.54

In the bowling alley you win 35 dollars more, so you add, ( 13.54 + 35.00 = 48.54‬)

the answer is $48.54

P-6=-5 this my question

Answers

$P-6=-5$

$P=-5+6$ $|Add \ 6 \ to \ both \ sides|$

$p=1$

Farmer John looks out on his farm. One pen has chickens and pigs. John counted 12 heads and 34 legs. How many of each animal did he see? EXPLAIN your reasoning. I DO WANT YOU TO EXPLAIN AND ANSWER QUICKLY PLEASE

Answers

34 legs and 12 heads

Chicken has 2 legs and Pig has 4 legs, both got one head

7 chicken heads, 7 x 2= 14 chicken legs

5 pig heads, 5 x 4= 20 pig legs

7 chicken heads + 5 pig heads = 12 heads

14 chicken legs + 20 pig legs = 34 legs

Answer: He saw 7 chickens and 5 pigs

The line y =3x-5 meet x-axis at the point M. The line 3y+2x=2 meets y-axis at point N. Find the equation of the line joining M and N in the form ax + by + c = 0 where: a,b,c are integers.

Answers

Answer-

The line equation is,

$\boxed{\boxed{6x+15y-10=0}}$

Solution-

The line $y =3x-5$ meets x-axis at the point M, i.e M is the x-intercept of this line. At the x-intercept y=0, so

$\Rightarrow 0 =3x-5$

$\Rightarrow 3x=5$

$\Rightarrow x=(5)/(3)$

So, coordinate of M is $((5)/(3),\ 0)$

The line $3y+2x=2$ meets y-axis at point N, i.e N is the y-intercept of this line. At the y-intercept x=0, so

$\Rightarrow 3y+2(0)=2$

$\Rightarrow 3y=2$

$\Rightarrow y=(2)/(3)$

So, coordinate of N is $(0,\ (2)/(3))$

The line joining M and N can be found out by applying two point formula of straight line,

$\Rightarrow (y-y_1)/(y_2-y_1)=(x-x_1)/(x_2-x_1)$

$\Rightarrow (y-0)/((2)/(3)-0)=(x-(5)/(3))/(0-(5)/(3))$

$\Rightarrow (y)/((2)/(3))=(x-(5)/(3))/(-(5)/(3))$

$\Rightarrow -(5)/(3)y=(2)/(3)(x-(5)/(3))$

$\Rightarrow -5y=2(x-(5)/(3))$

$\Rightarrow -5y=2x-(10)/(3)$

$\Rightarrow 2x+5y-(10)/(3)=0$

As it is given that all the coefficients are integers, so multiplying with 3

$\Rightarrow 6x+15y-10=0$

Solution: As given line y =3x-5 meet x-axis at the point M.

On x axis y coordinate is zero.

Put y =0 in above equation, we get →x = 5/3

∴ Coordinate of M is (5/3,0).

As, also given , line 3y+2x=2 meets y-axis at point N.

On y axis , x coordinate is zero.

Substituting , x=0 in above equation, gives y =2/3.

Coordinate of point N is (0,2/3).

Equation of line passing through two points (a,b) and (p,q) is given by

→ $(y-b)/(x-a) =(q-b)/(p-a)$

Or as X intercept = 5/3, and Y intercept = 2/3

Equation of line in intercept form is → $(x)/(a) + (y)/(b) =1$ , where a and b is X intercept and y intercept respectively.

So, line passing through (5/3,0) and (0,2/3) is given by

→ $(x)/((5)/(3)) + (y)/((2)/(3))=1$

→ $(3x)/(5) + (3y)/(2) =1$

→ 6 x + 15 y =10 [Taking LCM of 5 and 2 which is 10]

→ 6 x + 15 y -10=0, which is equation of the line joining M and N in the form ax + by + c = 0 where: a,b,c are integers.

please help I'm not good at math. What is the equation of the line that has a slope of -4 and passes through the point (2, 3)?

Answers

Answer

y=-4x-1

Step-by-step explanation:

y=-4x1 hope this help

Zoe keeps track of the miles per gallon her car gets per week. She has accumulated the following data:(1, 24), (2, 24.38), (3, 24.76), (4, 25.14)

What is the common difference or ratio?

The common difference is 0.38.
The common difference is 0.76.
The common ratio is 0.99.
The common ratio is 1.02.

Answers

the common ratio is 0.99 i belive that is the answer

Answer:

The common difference is 0.99

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