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Answer:

[tex]-\frac{1}{5}[/tex]

Step-by-step explanation:

Notice that the equation y = 5x - 16 is in slope-intercept form, or [tex]y = mx + b[/tex] format. Whenever an equation is in slope-intercept form, the number in place of the [tex]m[/tex], or the coefficient of the x-term, represents the slope of that line. So, the slope of the given line is 5.

Slopes that are perpendicular to each other are opposite reciprocals. So, we need to find the opposite reciprocal of 5. To do that, write it as a fraction, making it [tex]\frac{5}{1}[/tex]. Then, switch the sign and flip the numerator and denominator. This means that the opposite reciprocal of 5 is [tex]-\frac{1}{5}[/tex], so [tex]-\frac{1}{5}[/tex] is the perpendicular slope.

Answer:

2.646

Step-by-step explanation:

Answer:I think it’s answer B

Step-by-step explanation:because if you measure figure 2 it will be about 451 and you need it to hold about 300 so it can’t be a or c and figure 3 holds about 321 while figure 1 holds about something so I think it’s B

Answer:

12710 license plates

Step-by-step explanation:

Given that :

First character = one of 41 different hieroglyphs

Second character = one of 31 emojis

Third character = one of 10 polygons

A license plate consists of 3 characters

Number of 3-character license plates available :

Number of hieroglyphs * Number of emojis * number of polygons

41 * 31 * 10 = 12710 license plates.

Answer: RM 5200

Step-by-step explanation:

Principal = RM5000

Rate = 4%

Time = 1 year

Simple Interest = PRT

= 5000 × 4% × 1

= 5000 × 0.04 × 1

= 200

Now, the total savings will be the addition of the principal and the interest which will be:

= RM 5000 + RM 200

= RM 5200

Answer:

6/10 is greater than 6/100

Step-by-step explanation:

6/10 = 3/5

6/100 = 3/50

3 fifties is lot more than 3 with 5 parts

hope it makes sense

Answer:

556$

Step-by-step explanation:

$6 x 112 = 672$

1228-672 = 556

Answer:

2232.48 meters

Step-by-step explanation:

From the diagram:

Radius of semicircle = 74

Length of straightway on each side = 1000

The length of school track:

Straightway on each side = 2 * 1000 m = 2000m

Length of semicircle = πr/2

Length of both semicircle  = 2 * 3.142 * 74 /2 = 232.47785

Total Length = ( 2000 + 232.47785) = 2232.48 meters

Hope this helps!

Answer:

Step 1: Simplify both sides of the equation.

−6(x−4)+4x=−2x+18

(−6)(x)+(−6)(−4)+4x=−2x+18(Distribute)

−6x+24+4x=−2x+18

(−6x+4x)+(24)=−2x+18(Combine Like Terms)

−2x+24=−2x+18

−2x+24=−2x+18

Step 2: Add 2x to both sides.

−2x+24+2x=−2x+18+2x

24=18

Step 3: Subtract 24 from both sides.

24−24=18−24

0=−6

Answer:

There are no solutions.

Answer:

325 hot dogs were eaten during the contest.

Step-by-step explanation:

Just add all the hot dogs together. Wow, it's a lot though. :)

Given:

65 traffic cones we’re equally spaced over [tex]\dfrac{5}{8}[/tex] of a mile.

To find:

The number of traffic cones are used per mile.

Solution:

We have,

Number of cones used in [tex]\dfrac{5}{8}[/tex] of a mile = 65

Number of cones used for a mile = [tex]65\times \dfrac{8}{5}[/tex]

                                                       = [tex]13\times 8[/tex]

                                                       = [tex]104[/tex]

Therefore, 104 traffic cones are used per mile.

Answer:

b. 84.612cm

c. 314.15cm

d. 5cm

Step-by-step explanation:

b. solve for both triangles and height of rectangle using Sin

c. pi(r)h  3.1415(10)(10)

d. 3*3-2*2=5

Answer:

It is a really idealistic way to estimate probability.

It usually works well for random events where there is no restriction like:

"There are N elements in a set, the probability of randomly selecting any element is the same (so there is no restriction) meaning that for every single element, the probability is 1/N.

Now suppose that there are K elements (K < N) with a given characteristic, then the probability of randomly selecting one of the K elements out of the sett with N elements is equal to K times the probability of each element, this is:

P = K*(1/N) = K/N"

Then if a dice has 6 possible outputs, and we want to find the probability of getting a 3 or a 5, we need to find the quotient between the outcomes where we get a 3 or a 5 (2) and the total number of outcomes (6)

P = 2/6

Now let's go to the case in the problem:

We know that out of the last 20 games, your team won 18.

Then yes, your team won (18/20)*100% = 90% of their played games.

Does this mean tath the probability of winning the next game is 90%?

Well no, because this is not a random selection, there are a lot of other things needed to analyze, as the win rate of the other team (suppose that the other team won 14 of their last 20 games, then their win rate is (16/20)*100% = 70%

Does this mean that the probability where our team wins is 90%, and the probability of the enemy team winning is 70%?

Well no, this makes no sense at all, and this is why this method is not a good way to estimate probability in complex cases like this one.

Answer:

4/1

Step-by-step explanation:

Answer:

1 : 5 ;

6.5 inches

Step-by-step explanation:

Given that:

11 inch on plan = 55 in actual

The scale factor here is :

11 : 55

1 : 5 ( 1 inch on plan represents 5 inches the actual house)

If the house is 32.5 inches tall

The height in inches of the house on the plan will be:

Actual Height of house / 5

32.5 / 5 = 6.5 inches

Answer: 6.5

Step-by-step explanation:

Answer:

I think it's option 4

Step-by-step explanation:

I hope my answer is true

Answer:

2

Step-by-step explanation:

or 4 but I'm pretty sure it's that cause it hits the y and x

Answer:

3 miles

Step-by-step explanation:

A trapezoid has an area of 18 square miles. The bases are 5 miles and 7 miles. Using these measurements, the height of this trapezoid is how many miles

Area of a trapezoid = 1/2 (a + b)h

The formula for the height of a trapezoid =

h = 2(A/a + b)

A = 18 square miles

a = 5 miles

b = 7 miles

h = 2(18/5 + 7)

h = 2( 18/12)

h = 2 ( 9/6)

h = 3 miles

Answer:

2.75 each pack

Step-by-step explanation:

13.75 divided by 5 =2.75

Answer:

7

hope it helps..........

Answer:

32/7

Step-by-step explanation:

Answer:

Answer is 15 I hope this help

Answer:

(5, 1) and (-5, -7)

Step-by-step explanation:

Given the simultaneous equations

x^2– y^2 = 24 .... 1

x= 3 + 2y .... 2

Substitute 2 into 1

(3-2y)^2-y^2 = 24

Expand

9 - 12y + 4y^2 - y^2 = 24

9 - 12y + 3y^2 = 24

3y^2 - 12y + 9-24 = 0

3y^2 -12y -15 = 0

y^2-4y-5 = 0

y^2+5y - y - 5 = 0

y(y+5) - 1 (y+5) = 0

y-1 = 0 and y+5 = 0

y = 1 and -5

Substitute the values of y into 2

Recall that x = 3+3y

when y = 1

x = 3 + 2(1)

x = 5

when x = -5

x = 3 + 2(-5)

x = 3 - 10

x = -7

Hence the solutions are (5, 1) and (-5, -7)

Answer:

A

Step-by-step explanation:

the dots form a line going upwards from the origin in a positive way (quadrant 1)

Answer:

4.5 + 4.5 + 7.5 + 3 + 9 + 4.5 = 33 is the perimeter of the first shape

The area is (4.5 x 7.5) + (3 x 9) = 60.75

(Cut the figure)

Perimeter of the Second Shape is:

22 + 22 + 10 + 10 = 64

Area is: 22 x 10 = 220

Area of a parallelogram is: L x W

Answer:

a, d, f ( 4,-4)

Step-by-step explanation: