Help explain an show work thank you so much!

Astrid travels 130 km in 2 hours and then at 85 km/h for another 3 hours to reach her

Pie

Answer:

$\huge\boxed{\sf Speed = 77\ km/hr}$

Step-by-step explanation:

<h3><u>Formula to be used in the question:</u></h3>

Speed = Distance / Time

<h3><u>Distance for the first 2 hours:</u></h3>

= 130 km

<h3><u>Distance for the next 3 hours:</u></h3>

Speed = 85 km/h

Time = 3 hours

So,

Distance = Speed × Time

Distance = 85 × 3

Distance = 255 km

So,

<h3><u>Total distance from home to destination:</u></h3>

= 130 + 255

= 385 km

<h3><u>Speed on the return journey:</u></h3>

Total distance = 385 km

Time = 5 hours

Speed = Distance / Time

Speed = 385 / 5

Speed = 77 km/hr

$\rule[225]{225}{2}$

4 0

2 years ago

Dr. Hoover, a pediatrician, has 3 annual checkups and 2 sick visits scheduled next Tuesday,

Jet001 [13]

Dr. Hoover allot his time on Tuesday for an annual checkup is 147 minutes and for a sick visit is 42 minutes (Total 189 minutes)

On Wednesday appointment, he allot his time for an annual checkup is 147 minutes and for a sick visit is 21 minutes (Total 168 minutes)

solution

Let us assume, minutes for annual checkup denoted as x and

minutes for sick visit denoted as y

The equation of Tuesday visit is $3x + 2y = 189 minutes ------ 1$

The equation of Wednesday visit is $3x + 1y = 168 minutes ------ 2$

by changing the signs of the equation 2 and subtract it from the equation 1 we will get 1y = 21 minutes

to substitute y =1 in the equation 2 we get

$3x + 2(21) = 189$

$3x + 42 = 189$

$3x = 189 - 42$

$3x = 147$

$x = 147 ÷ 3 = 49 minutes$

then now we have substitute both x = 49 and y= 21 in equation ----- 2

we will prove that $3x + 2y = 189 = 3 (49) + 2(21) = 189$ $147+ 42 = 189 minutes$

so the Tuesday appointment , the time allotted for an annual checkup is 147 minutes and for a sick visit is 42 minutes (Total 189 minutes)

On Wednesday appointment, the time allotted for an annual checkup is 147 minutes and for a sick visit is 21 minutes (Total 168 minutes)

6 0

4 years ago

7th grade math help please and thank you

mario62 [17]

Answer:

66+24

Step-by-step explanation:

you just have to add them

3 0

3 years ago

Read 2 more answers

Find the value of x.

pychu [463]

Knowing that all triangles angles add up to 180*:

24* + x + ? = 180*

Knowing the straight line is 180*:

180* - 122* = 58*

The equation then is:

24* + x + 58* = 180*

Then solve for X:

(82* + x) - 82* = (180*) - 82*

7 0

3 years ago

Read 2 more answers

Please help I found this one a bit confusing

Brums [2.3K]

Answer:

7.2

Step-by-step explanation:

To reach point D from point C, you need to add 4 to the x-value of point C and take away 6 from the y-value. These numbers are the sides of the hypothetical triangle.

The Pythagorean Theorem states that $a^2+b^2=c^2$ . If we plug the side lengths in for a and b, we get $4^2 + 6^2 = c^2$ . This can be simplified to $16+36=c^2$ , or $52 = c^2$ . If we root both sides, we find that c is equal to $\sqrt{52}$ , which is slightly more than 7, at around 7.2.

4 0

3 years ago