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Nikolay [14]
3 years ago
5

What inequality is less than 8

Mathematics
1 answer:
Fofino [41]3 years ago
8 0

Answer:

<em>Hope the link helps! Sorry I didn't explain. I couldn't find the less than sign. </em>

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△VAT≅△BDT.<br><br><br> ¯¯¯¯¯ <br> What is length of BT ?
forsale [732]
6.3 units because it is the same length as vt

6 0
3 years ago
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Peyton is a sprinter who can run the 40-yard dash in 4.5 seconds. He converts his speed into miles per hour, as shown below. Whi
rodikova [14]

This question is incomplete

Complete Question

Peyton is a sprinter who can run the 40-yard dash in 4.5 seconds. He converts his speed into miles per hour, as shown below.

Which ratio is incorrectly written?

40 yd/4.5 sec • 3 ft/1 yd • 5280ft/1 mile • 60 sec/1 min • 60 min/1 hr

Answer:

5280ft/1 mile is the incorrect ratio

Hence, 40-yard dash in 4.5 seconds = 18.2 miles per hour(mile/hr)

Step-by-step explanation:

We are to convert 40 yards per 45 seconds to Mile per hour.

We are given the following conversion ratios:

40 yd/4.5 sec • 3 ft/1 yd • 5280ft/1 mile • 60 sec/1 min • 60 min/1 hr

The incorrect ratio is 5280ft/1 mile .

It should have been written as 1 mile/5280 ft.

Hence,

40 yd/4.5 sec • 3 ft/1 yd • 1 mile/5280ft• 60 sec/1 min • 60 min/1 hr

= 432000mile/23700 hr

= 18.181818182 mile/hr

Approximately= 18.2mile/hr

5 0
3 years ago
What equation, in point-slope form, matches the graphed line shown?
enot [183]
You need to add a picture of the graph
6 0
2 years ago
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Find the point of intersection (if any) of the following pairs of lines: a) x – 2y +1=0 2x + 3y – 7 = 0 b) x-2y+11=0 -x+2y-13 =
pychu [463]

Answer:

a) (11/7, 9/7)

b) There's no point of intersection

Step-by-step explanation:

a) x - 2y + 1 = 0

2x + 3y - 7 = 0

To find the point of intersection, we need to solve the system of equations  and the result will be the point of intersection (x,y)

x-2y+1=0\\x= 2y-1

Now we substitute x in the second equation:

2x+3y-7=0\\2(2y-1)+3y-7=0\\4y-2+3y-7=0\\7y-9=0\\y=9/7

Now we substitute y in our first equation.

x-2y+1=0\\x-2(9/7)+1=0\\x-18/7+1=0\\x=18/7-1\\x=11/7.

The point of intersection is (11/7, 9/7)

b) x -2y +11 =0

-x + 2y - 13 =0

We are going to follow the same procedure:

x-2y+11=0\\x=2y-11

-(2y-11)+2y-13=0\\-2y+11+2y-13=0\\0y=2\\0=2

Since this system of equations doesn't have a solution, the system has no point of intersection.

5 0
3 years ago
A textbook search committee is considering
lora16 [44]

Number of ways to select 3 books from 13 books for adoption is 286 .

<u>Step-by-step explanation:</u>

A Permutation is an ordered Combination. When the order does matter it is a Permutation. There are basically two types of permutation:

  • Repetition is Allowed: such as the lock above. It could be "333".
  • No Repetition: for example the first three people in a running race. You can't be first and second.

Formula is given by:

nC_r= \frac{n!}{r! (n-r)!} , where n is the number of things to choose from,  and we choose r of them,  no repetitions,  order matters. Here , n=13 , r=3.

⇒ 13C_3 = \frac{13!}{3!(13-3)!}

⇒ 13C_3 = \frac{13!}{3!(10)!}

⇒ 13C_3 = \frac{13(12)(11)10!}{3(2)(1)(10)!}

⇒ 13C_3 = 13(2)(11)

⇒ 13 C_3 = 286

∴ Number of ways to select 3 books from 13 books for adoption is 286 .

3 0
3 years ago
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