A grid map marks the plot of Harold’s garden in meters. The coordinates of the quadrilateral-shaped property are G(–8, 3), A(4, 8), R(10, 0), and D(–2, –5). He wants to build a short fence around the garden. The perimeter of his garden is meters.

Answer:

You have 9 red marbles, 21 green marbles, and 31 blue marbles.

Step-by-step explanation:

Let r equal the number of red marbles

Let b equal the number of blue marbles

Let g equal the number of green marbles.

"I have 5 less blue marbles than 4 times the red marbles."

4r-5=b

"I have 3 more green marbles than 2 times the number of red marbles."

2r+3=g

" All together I have 61 marbles."

r+b+g=61

Substitute the b and g for 4r-5 and 2r+3

r+(4r-5)+(2r+3)=61

5r-5+2r+3=61

5r+2r-5+3=61

7r-2=61

7r=63

r=9

2r+3=g

2(9)+3=g

21=g

4r-5=b

4(9)-5=b

36-5=b

b=31

You have 9 red marbles, 21 green marbles, and 31 blue marbles.

Let me know if this helps :)

Answer:

There are 9 red, 21 greens and 31 blues

Step-by-step explanation:

Set up equations

Let

R=# red

G=# green

B=# blue

I have 5 less blue marbles than 4 times the red marbles.

B=4R-5 .............(1)

I have 3 more green marbles than 2 times the number of red marbles.

G=2R+3..............(2)

All together I have 61 marbles.

R+G+B=61 ..................(3)

Solution:

substitute (1) & (2) in (3)

R + 2R+3 + 4R-5 = 61

Simplify

7R = 61+2 = 63

R = 63/7 = 9 ..........(4)

Substitute (4) in (1)

B = 4R-5 = 4(9) - 5 = 36-5 = 31

Substitute (4) in (2)

G = 2R+3 = 2(9) + 3 = 18+3 = 21

Answer:

I'd think the first one would be correct. To determine whether or not athletes have an increase in vertical leap when wearing the shoes.

I'm not totally sure but this answer just seems the most correct. It would prove if the manufacturers clam is valid. You would have to other brand and models of shoes. You would also have to test the same kind of shoes ie, gym shoe vrs gym shoe instead of gym shoe vrs flip flop.

You would also have to use the different shoe on the same test group of users/athletes to keep a constant.

Hope I help.

Answer:

f(6) = 64

Step-by-step explanation:

f(x) = 2^x

Let x = 6

f(6) = 2^6

     = 2*2*2*2*2*2

    = 64

Answer:

B. 64

Step-by-step explanation:

[tex]f(x)=2^x[/tex]

Plug x as 6 and solve.

[tex]f(6)=2^{(6)}[/tex]

[tex]f(6)=2^6[/tex]

[tex]f(6)=2 \times 2 \times 2 \times 2 \times 2 \times 2[/tex]

[tex]f(6)=64[/tex]

Answer:

Because these are in slope-intercept form which is much easier because y=mx+b means that m=the slope, and b=y intercept so all your information is laid out in front of you.

Step-by-step explanation:

Answer:

B(6 , -11)

Step-by-step explanation:

(x-2 , y+3)  = (4 , -8)

Compare the x & y co ordinates

x - 2 = 4   ; y + 3 = -8

x = 4 +2  ; y = -8 - 3

x = 6      ; y = -11

B(6 , -11)

Answer:

x = 1.125

Step-by-step explanation:

6x – 5 = (2/3)x + 1

6x - (2/3)x = 1 + 5

(16/3)x = 6

x = 9/8

x = 1.125

Step-by-step explanation:

Given.

[tex]3x+5y=3[/tex]

[tex]x+2y=0[/tex]

Take the second equation and subtract 2y to both sides.

[tex](x+2y)-2y=0-2y[/tex]

[tex]x=-2y[/tex]

Substitute x into the first equation and simplify.

[tex]3x+5y=3[/tex]

[tex]3(-2y)+5y=3[/tex]

[tex]-6y+5y=3[/tex]

[tex]-y=3[/tex]

Invert.

[tex]y=-3[/tex]

Substitute Y into your second equation.

[tex]x+2y=0[/tex]

[tex]x+2(-3)=0[/tex]

[tex]x-6=0[/tex]

Add -6 to both sides.

[tex](x-6)+6=0+6[/tex]

[tex]x=6[/tex]

Answer:

(6, -3)

Answer:

(6,-3)

Step-by-step explanation:

Got it right on the test

Hope this helps :)

Answer:

-1 10/17

Step-by-step explanation:

Answer:

y = 1 10/17

Step-by-step explanation:

The LCD is 9y.  Multiply all three terms by 9y:

(9y)(12)                   (9y)(4)

----------- + 8(9y) = -----------

     y                           9

This reduces to 108 + 72y = 4y, or 108 = -68y

Dividing both sides by 68, we get y = 1 10/17

Answer:

A. 3

Step-by-step explanation:

Let the integers be

x

(x+1)

(x+2)

(x+3)

Sum the integers

We have,

x+(x+1)+(x+2)+(x+3)=18

x+x+1+x+2+x+3=18

4x+6=18

Subtract 6 from both sides

4x-6=18-6

4x=12

Divide both sides by 4

4x/4=12/4

x=3

The smallest integer which is x is equal to 3

Check:

3+4+5+6=18

Answer:

5^5

Step-by-step explanation:

Answer:

Hello!

~~~~~~~~~~~~~~~~~~~~~

Your answer would be (D) 25–40

Step-by-step explanation: The largest amount od people is 40 the lowest amount is 35 so to maximize the bars you would want the smallest range.

Thus, (D) is the correct answer.

Answer:

Its D

Step-by-step explanation:

for all the ppl who don't care how they got it

Answer:

Step-by-step explanation:

a) angle CAD= angle ODA ( in triangle OAD, OA=OD(same radius) angels opp                          to equal sides are equal)

hence angle CAD=42

b)angle b =90(angle subtended by diameter)

hence using angle sum property in triABC,

angle ACB=66-------------eq4

c) in tri OAD,

Angle AOD=180-(42+42)-------(using angle sum prop.)

=> 96-----------------eq1

angleACD=1/2 Angle AOD ( angle subtende by an arc at centre is double the angle subtended...)

hence angle ACD =1/2 x 96(from eq1)

angleACD=48--------------eq3

from eq 3,and eq4,

angle BCD= 48+66

=114 degree...

hope this helped you........pls mark brainliest

a) Measure of angle CAD is, 42°

b) The size of ACB is, 66°

c) The size of angle BCD is, 114°

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

In the diagram O is the center of the circle.

And, AOC is a straight line.

Here, Angle BAO is 24° and Angle ADO is 42°​.

Now,

a) In triangle OAD,

⇒ OA=OD (same radius)

And, Angels opposite to equal sides are equal.

Hence, We get;

⇒ ∠CAD= ∠ODA

⇒ ∠ CAD = 42°

b) We have;

⇒ ∠B =90     (Angle subtended by diameter)

Hence, By using angle sum property in ΔABC,

⇒ ∠ BAC + ∠ACB + ∠B = 180°

⇒ 24 + ∠ACB + 90° = 180°

⇒ ∠ ACB = 66°

c) In ΔOAD,

⇒ ∠AOD = 180 - (42 + 42)   ( By using angle sum property)

              = 96

And, Angle subtended by an arc at center is double the angle subtended.

Hence, We get;

⇒ ∠ACD = 1/2 ∠AOD

               = 1/2 × 96

               = 48°

Hence, We get;

⇒ ∠ BCD = 48° + 66°

               = 114°

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Answer:

.33 as a decimal or 33%

Step-by-step explanation:

Divide 1/3 and get .33 as your decimal. To convert to a percentage multiply your decimal by 100. (.33 x 100 = 33 )

Answer:

69

Step-by-step explanation:

The range of the curve is from -6 to 10, i.e. -6 ≤ y ≤ 10.

Given is a graph of a curve having endpoints at (-10, -6) and (0, 10), we need to find its range.

To find the range of a curve, we need to determine the set of all possible y-values that the curve can attain.

In this case, we have the endpoints of the curve as (-10, -6) and (0, 10).

The range of the curve is the set of all possible y-values. To find it, we need to identify the minimum and maximum y-values.

The minimum y-value can be found at the lowest point of the curve. From the given endpoints, we can see that the lowest point lies at (-10, -6).

The maximum y-value can be found at the highest point of the curve. From the given endpoints, we can see that the highest point lies at (0, 10).

Therefore, the range of the curve is from -6 to 10, inclusive: [-6, 10].

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Answer:

25/33

Step-by-step explanation:

-1 2/3 ÷ ( -2 1/5)

Change from mixed number to improper fraction

- ( 3*1 + 2) /3 ÷  - ( 5*2+1) /5

-5/3 ÷ -11/5

Copy dot flip

-5/3 * -5/11

25/33

The value of y will be 90°. The sum of angle of the two right angle is 180°. The property of the adjacent angle is used.

We do same operations on both the sides so that equality of both expressions doesn't get disturbed.

Solving equations generally means finding the values of the variables used in it for which the considered equation is true.

Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are an infinite number of solutions.

The angles subtended by a circle is 360°, then;

The equation is found as;

[tex]\rm 40^0+50^0+x+y+z=360^0 \\\\ x+y+z=270^0[/tex]

The sum of angle of the two right angle is 180°;

x°+40°+50°=180°

x=90°

y+50°+40°=180°

Y=90°

Hence, the value of y will be 90°.

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Answer: 25<27

Step-by-step explanation:

-125/-5=25

-135/-5=27

25<27

Answer:

[tex]\boxed{25<27}[/tex]

Step-by-step explanation:

[tex]-125 > -135[/tex]

Dividing both sides by -5

=> [tex]\frac{-125}{-5} < \frac{-135}{-5}[/tex]

=> [tex]25 < 27[/tex]

Answer:

14)  [tex]\frac{1}{2} n-1[/tex] (half of n is [tex]\frac{1}{2} n[/tex] and subtract that with 1)

15) 3o+4 ( multipy o with 3, it becomes "3o" and add that with "4")

16) 5p-2 (same concept as No.15)

17) 7+r ( add 7 with "r")

18) s+7 (same concept with No.18)

19) t-10 (subtract 10 from "t")

20) 10-u ( subtract "u" from 10)

21) 2v ( multiply 2 with v)

22) 2w (same concept as No.21)

23) [tex]\frac{x}{5}[/tex] (divide x with 5 and show the result in fractions)

24) [tex]\frac{5}{y}[/tex] ( divide 5 with y and show the result in fractions)

Tip : Alphabets and numbers never combine unless you multiply them with it (eg. 3*x = 3x) but ( 3+x stays like that ).

Hope it helps <3

(If it does, please give brainliest, only need one more for rank up :) )

Answer:

2. [tex]18\sqrt{5}[/tex]

3. [tex]52.303...[/tex]

4. [tex]11.608...[/tex]

Step-by-step explanation:

2. Using the Pythagorean Theorem, we can see that [tex]a^2+b^2=c^2[/tex]. Therefore, [tex]90^2+90^2=8100+8100=c^2[/tex]. We know that [tex]8100+8100[/tex] is [tex]16200[/tex]. The square root of [tex]16200[/tex]  is [tex]90\sqrt{2}[/tex].

3. Same as before, we use the Pythagorean Theorem. This time, we're calculating [tex]b[/tex] instead of [tex]c[/tex]. This means we have to do [tex]60^2-29.4^2=b^2[/tex], which gives us [tex]3600-864.36[/tex], which equals [tex]2735.64[/tex]. We can put this in decimal form, which would give us [tex]52.303[/tex][tex]...[/tex]

4. This one, we do [tex]15^2-9.5^2[/tex], which would give us [tex]134.75[/tex]. Simplifying this would give us [tex]11.608...[/tex].

Hope this helped! Just remember the Pythagorean Theorem.

===============================================

Work Shown:

The notation P(B|A) has a vertical line separating the B and A

Given values

----------

P(B|A) = P(B and A)/P(A) ... conditional probability formula

P(B and A) = P(B|A)*P(A) ... solve for P(B and A)

P(B and A) = 0.88*0.46 ... plug in given values

P(B and A) = 0.4048

P(B and A) = 0.405 .... rounding to three decimal places

This is the same as P(A and B).

Answer:

75

Step-by-step explanation:

200 ÷ 8 = 25

25 x 3 = 75

The number of times 2 coins will turn heads up is 75, the correct option is D.

Probability is the measure of the likeliness of an event to happen.

The probability has a range from 0 to 1, 0 denotes uncertainty and 1 indicates certainty.

When 3 coins are flipped, there is two probabilities,

The probability of getting a head or a tail is 1/2.

The probability that there will be 2 coins that will turn up heads is 3/8

Probability is defined as the ratio of favorable outcomes to total outcomes.

If Evelyn flips the three coins simultaneously 200 times, the number of times she can expect only two heads to turn up is given by,

= (3/8) * 200

= 75

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Answer:

36

Step-by-step explanation:

In the above question, we have been given a rule to follow

Given a * b = ba−ba+ab

We are to find (2*3)×(3*2)

Let simplify each bracket first

a * b = ba−ba+ab

2*3, a = 2, b = 3

2*3 = 3×2 - 3×2 + 2×3

= 6 - 6 + 6

= 6

a * b = ba−ba+ab

3*2, a = 3, b = 2

3*2 = 2×3 - 2×3 + 3×2

= 6 - 6 + 6

= 6

(2*3)×(3*2)

= 6 × 6

= 36

The answer is 36

Answer:

20

Step-by-step explanation:

12/5 means roughly 2 cards per week

In 4 weeks he would get 8 additional cards

12+8=20

Hope this help!

Answer:

47.13 for 17 melons

Step-by-step explanation:

We can use a ratio to solve

24.95               x dollars

---------------- = ----------------

9 melons          17 melons

Using cross products

24.95 * 17 = 9x

Divide by 9

24.95 * 17/9 = x

47.127777777 = x

Rounding to the nearest cent

47.13 for 17 melons

Answer:

$47.12

Step-by-step explanation:

We know that 1 box has 9 lemons and each box is $24.95. Therefore, 1 lemon costs 24.95/9 dollars. That leads us to know that 17 lemons cost (24.95/9 * 17). Once we plug that into the calculator and round to the nearest hundreth place, we get $47.12.  

Answer:

1 hour and 6 minutes

Step-by-step explanation:

The next proportion must be satisfied:

18 °F / 28 °F = 2 hours / x hours

x = 2*28/18

x = 3.1 hours in total

Given that she has already waited 2 hours, she must wait 3.1 - 2 = 1.1 extra hours. 1 hour is equivalent to 60 minutes, then 0.1 hours is equivalent to 0.1*60 = 6 minutes.

Answer:

missing info my dude

Step-by-step explanation:

Answer: If three points lie on the same line, there is only one plane that can pass through them.

Step-by-step explanation:

Answer:   x < 3

Step-by-step explanation:

4(x + 3) < 3(x + 5)

4x + 12 < 3x + 15           Distributed

 x + 12 < 15                   Subtracted 3x from both sides

       x  < 3                     Subtracted 12 from both sides

Answer:

4x^2+9x-15<0

Step-by-step explanation:

x.4(x+3)<3(x+5)

(4x)(x+3)<3x+3x5

(4x)(x+3)<3x+15

4xx+4x.3<3x+15

4x^1+1+4x3x<3x+15

4x^2+12x<3x+15

(4x^2+12x)+(-3x-15)<(3x+15)+(-3x-15x)

4x^2+9x-15<3x-3x+15-15

4x^2+9x-15<0

Answer:

m<1= 50 degrees

m<2= 130 degrees

m<3= 50 degrees

m<4= 130 degrees

m<5= 40 degrees

m<6= 30 degrees

Step-by-step explanation:

All of the angles of triangles equal to 180 degrees, so you can solve all of the angles based on that info :)