Greater five ones and nine thousandths

7. for normal situations, the minimum speed limit throughout the u.s. interstate highway system is 72 km/hr which is 45 miles pe

gladu [14]

Answer:

Question 7: Distance = 237.6 km

Question 8: Distance = 399.3 km

Step-by-step explanation:

Question 7:

Given:

Minimum speed (s) = 72 km/hr

Time taken (t) = 3.3 hours.

We know that, distance traveled is equal to the product of speed and time.

Therefore using distance formula, we get:

Distance = Minimum speed × Time

Distance = $s\times t$

Distance = $72\times 3.3 = 237.6\ km$

Therefore, distance traveled at this speed is 237.6 km.

Question 8:

Maximum speed (S) = 121 km/hr

Time taken (T) = 3.3 hours.

We know that, distance traveled is equal to the product of speed and time.

Therefore using distance formula, we get:

Distance = Maximum speed × Time

Distance = $S\times T$

Distance = $121\times 3.3 = 399.3\ km$

Therefore, distance traveled at this speed is 399.3 km.

3 0

2 years ago

87°

Tresset [83]

B.59
Explanation: the interior angles of a triangle equal 180.

5 0

2 years ago

There are 40 people at Drake’s sweet sixteen party. Drake’s only rule is that everyone in the party must meet and shake each oth

Nonamiya [84]

Answer:

Given:

Total Number of people at the Drake’s sweet sixteen party = 40

Everyone in the party must meet and shake each other’s hand

1) How many handshakes are there altogether?

There was total of 780 handshakes in the party.

2. How did you get your solution:

If you have 7 people, person seven shakes six other hands, person

six shakes five other hands, person five shakes fours other hands,

person ,four shakes three other hands, person three shakes two other hands, and person two shakes one hand. Another way to see it is,

Person 7 +person 6 + person 5 + person 4 +person 3 + person 2 + person 1

= 6+5+ 4+3+2+1

=>21

so similairly in case of 40 persons

= 39+38+37+36+37+36+35+34 .................+3+2+1

=>780

3) What’s the quickest way to figure this out if Drake invited 1,000 people?

People at Party Number of Handshakes

2 1

3 1 + 2 = 3

4 1 + 2 + 3 = 6

5 1 + 2 + 3 + 4 = 10

6 1 + 2 + 3 + 4 + 5 = 15

.

n 1 + 2 + ...+ (n-1) = -------- $\frac{n(n-1)}{2}$

Hence for n persons the number of handshakes will be $\frac{n(n-1)}{2}$

So for 1000 persons the number of handshakes will be

=> $\frac{1000(1000-1)}{2}$

=> $\frac{1000(999)}{2}$

=> $\frac{999000}{2}$

=>499,500

3 0

2 years ago

Instructions: Problem 2 ! Find the missing angle in the image below. Do not include spaces in your answers

Dahasolnce [82]

Step-by-step explanation:

since angles in a triangle add up to 180

<vuw=180-(71+23)

=86°

since angles in a straight line add up to 180

<vuf=180-86

=94

5 0

2 years ago

sonja wants to have $14000 in 13 years. calculate how much she should invest now at 6% interest, compounded semiannually in orde

mariarad [96]

She should invest $6491.73.

The equation we use to solve this is in the form
$A=p(1+\frac{r}{n})^{nt}$ ,
where A is the total amount in the account, p is the principal invested, r is the interest rate as a decimal, n is the number of times per year the interest is compounded, and t is the amount of time.

A in our problem is 14000.
p is unknown.
r is 6% = 6/100 = 0.06.
n is 2, since it is compounded semiannually.
t is 13.

$14000=p(1+\frac{0.06}{2})^{13*2}
\\
\\14000=p(1+0.03)^{26}
\\
\\14000=p(1.03)^{26}
\\
\\\text{Dividing both sides by }1.03^{26}\text{, we have}
\\
\\\frac{14000}{1.03^{26}}=\frac{p(1.03)^{26}}{1.03^{26}}
\\
\\6491.73\approx p$

5 0

2 years ago