Jennifer has $400 more than Brian has. If she were to give Brian 20% of her money, then Brian would have 2 3 of the amount of money that Jennifer would then have. How much money does Brian currently have (before exchanging money)

Answer:

x = price for adult = 306 Baht

y = price for children = 221 Baht

Step-by-step explanation:

Let

x = price for adult

y = price for children

2x + 2y = 1054 (1)

x + 4y = 1190 (2)

From (1)

x = 1190 - 4y

Substitute x = 1190 - 4y into (1)

2x + 2y = 1054 (1)

2(1190 - 4y) + 2y = 1054

2380 - 8y + 2y = 1054

- 8y + 2y = 1054 - 2380

- 6y = - 1326

y = -1326/-6

y = 221

Substitute y = 221 into (2)

x + 4y = 1190 (2)

x + 4(221) = 1190

x + 884 = 1190

x = 1190 - 884

= 306

x = price for adult = 306 Baht

y = price for children = 221 Baht

Answer:

y = -1/2x

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = 2x + 5. Its slope is 2. A line perpendicular to this one will have a slope of -1/2.

Plug this value (-1/2) into your standard point-slope equation of y = mx + b.

y = -1/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-4, 2). Plug in the x and y values into the x and y of the standard equation.

2 = -1/2(-4) + b

To find b, multiply the slope and the input of x (-4)

2 = 2 + b

Now, subtract 2 from both sides to isolate b.

0 = b

Plug this into your standard equation.

y = -1/2x + 0 or y = -1/2x

This equation is perpendicular to your given equation (y = 2x + 5) and contains point (-4, 2)

Hope this helps!

Step-by-step explanation:

Okay, so...

The Median of a trapezoid is directly in the middle. For some weird mathimatical reason you won't ever need to know unless it's on an exam or you become a math major, its midsegment is the average of the top length and the bottom length.

In other words,

EF = ( BC + AD ) / 2

So for part 1, we can use that equation to find x.

[tex]EF = ( BC + AD ) / 2[/tex]

[tex]4x-18=[(x+12)+(3x-4)]/2[/tex]

[tex]4x-18=[x+12+3x-4]/2[/tex]

[tex]4x-18=[x+3x+12-4]/2[/tex]

[tex]4x-18=[4x+8]/2[/tex]

[tex]4x-18=2x+4[/tex]

[tex](4x-2x) +(-18+18)=(2x-2x)+(4+18)[/tex]

[tex]2x=22[/tex]

[tex]x=11[/tex]

Part 2 is a lot easier now. All we have to do is plug in 11 for x.

[tex]BC =x+12[/tex]

[tex]BC = 11+12[/tex]

[tex]BC = 23[/tex]

-

[tex]AD = 4x-18[/tex]

[tex]AD = 4(11)-18[/tex]

[tex]AD = 44-18[/tex]

[tex]AD = 26[/tex]

-

[tex]EF = 3x-4[/tex]

[tex]EF = 3(11)-4[/tex]

[tex]EF = 33-4[/tex]

[tex]EF = 29[/tex]

Answer:

Part I: x = 11

Part II:

Answer:

-21 =x

Step-by-step explanation:

9(3x+3)=10(3x+9)

Distribute

27x +27 = 30x +90

Subtract 27x from each side

27x+27 -27x = 30x-27x +90

27 = 3x+90

Subtract 90 from each side

27-90 = 3x +90-27

-63 = 3x

Divide by 3

-63/3 = 3x/3

-21 =x

Answer:

x = -21

Step-by-step explanation:

9(3x+3) = 10(3x+9)

27x + 27 = 30x + 90

-30x + 27x = 90 - 27

-3x = 63

x = -21

Answer:

4 cm

Step-by-step explanation:

Given 2 similar figures with sides in ratio a : b , then

ratio of areas = a² : b²

let n be the length of the smaller one , then

ratio of sides = n : 10

ratio of areas = n² : 10² = n² : 100

Using proportion

( [tex]\frac{ratio}{area}[/tex] )

[tex]\frac{n^2}{24}[/tex] = [tex]\frac{100}{150}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

3n² = 48 ( divide both sides by 3 )

n² = 16 ( take the square root of both sides )

n = [tex]\sqrt{16}[/tex] = 4

length of the smaller one is 4 cm

Answer:

28

Step-by-step explanation:

Subtract highest number from lowest.

92-64 = 28

Answer:

the second option

Step-by-step explanation:

SAS is side angle side. so, we need 2 sides and the enclosed angle.

since G is the transformed M, and GL is the transformed side TM, that also means L correlates to T and S to D.

for SAS we need both sides of the angles M and G.

TD and SL are not satisfying this condition.

only MD and SG do.

Answer:

Step-by-step explanation:

Let the number is x, then we have:

Answer:

0

Step-by-step explanation:

We can write the equation in a simpler form so it doesn't look like a mess of numbers:

[tex]7+\frac{3\sqrt{5}}{3}+\sqrt{5} -7 -\frac{3\sqrt{5}}{3}-\sqrt{5}[/tex]

Because we are just adding three terms together and then subtracting those exact terms, we have the answer as 0.

Answer:

a = 50

b = 50

c = 80

d = 50

e = 130

Step-by-step explanation:

e = 180 - (25 + 25)   {Angle sum property & It is an isosceles triangle}

    = 180 - 50 = 130

a +e = 180  {Linear pair}

a + 130 = 180

a = 180 - 130

a = 50

d =a   {Vertically opposite angles}

d = 50

c = 180 -(50+ 50 )     {Angle sum property & It is an isosceles triangle}

c = 180 -100

c = 80

a+b + c = 180  {Straight angles}

50 + b + 80 = 180

  b + 130 = 180

          b = 180 - 130

          b = 50

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] \cos(θ) = \frac{6}{32} \\ θ = 79.19[/tex]

Answer:

3 loaves 2 bananas left.

Step-by-step explanation:

The answer is asking how many loaves of three bananas Seth can make. 11 can be divided by 3 a total of 3 times, leaving a remainder of 2 bananas that would not be enough to make another loaf.

Answer:

12

Step-by-step explanation:

f(x)=16x-30

g(x)=14x-6

f(x) - g(x) = 16x-30 - (14x-6)

               = 16x - 30 - 14x +6

                = 2x -24

Set this equal to zero

2x-24 = 0

Add 24 to each side

2x-24 +24 = 0+24

2x = 24

Divide by 2

2x/2 =24/2

x = 12

x=12

Answer:

Solution given:

f(x)=16x-30 and g(x)=14x-6

(f-g)(x)=0

or

f(x)-g(x)=0

16x-30-14x+6=0

2x-24=0

2x=24

x=24/2

x=12

Answer:

C.

Step-by-step explanation:

Media literacy encompasses the practices that allow people to access, critically evaluate, and create or manipulate media.

Answer:a small sample size

Step-by-step explanation:

From the information given in the question, we are informed that Sandra developed a program that was designed to increase reading comprehension scores in 6th graders and she then randomly selects three students and has them participate in her program.

After comparing the mean score from the students who completed her program to three students who did not participate in the program, she finds no significant difference between their mean scores, it should be noted that the reason for this will be because the sample size is small.

If a large sample size was used, this could have been different as thsi could result in a significant difference between their mean scores.

Answer:

HOPE IT HELP YOU . Plz tell me if it is write or wrong .

Answer:

268 in ^2

Step-by-step explanation:

SA=2lw+2lh+2hw

width = 4    lenth = 6     height = 11

2(6)(4) + 2(6)(11) + 2 (11)(4)

= 2 (24) + 2(66) + 2 (44)

= 48 + 132 + 88

= 268 in ^2

Answered by G a u t h m a t h

Answer:

base = 13 in

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here A = 52 and h = 8 , then

[tex]\frac{1}{2}[/tex] b × 8 = 52

4b = 52 ( divide both sides by 4 )

b = 13

Answer:

1. numerator;

2. denominator

Step-by-step explanation:

For a one-way within-subjects ANOVA, the mean difference attributed to the manipulation is in the NUMERATOR, and the mean difference attributed to individual differences is in the DENOMINATOR of the test statistic.

Answer:

60

Step-by-step explanation:

b = the hypotenuse of a right angle triangle

a = the adjacent side.

R is being defined by the cosine

cos(R) = adjacent /  hypotenuse

adjacent = 16* sqrt(2)

hypotenuse = 32*sqrt(2)

Cos(R) = 16*sqrt(2) / 32*sqrt(2)      sqrt(2) cancels.

cos(R) = 1/2

R = cos-1(1/2)

R = 60 degrees.

Answer:

Slope: -5/4

Step-by-step explanation:

Slope formula: [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

Plug in:

[tex]\frac{-4-6}{5-(-3)}[/tex]

Solve:

[tex]\frac{-4-6}{5-(-3)}[/tex]

-4 - 6 = -10

5-(-3) = 8

-10              5

-----   =   -  -----

8               4

The answer is -5/4

Hope this helped.

Answer:

uh

Step-by-step explanation:

my guy, I DK.

Answer:

A ≈ 21.22 m²

Step-by-step explanation:

The area (A) of a triangle using Heron's formula is

A = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

where s is the semi perimeter and a, b, c the sides of the triangle.

Here the perimeter of the equilateral triangle is 21 m , then

a = b = c = 21 ÷ 3 = 7 m

s = 21 ÷ 2 = 10.5

Then

A = [tex]\sqrt{10.5(10.5-7)(10.5-7)(10.5-7)}[/tex]

   = [tex]\sqrt{10.5(3.5)(3.5)(3.5)}[/tex]

   = [tex]\sqrt{450.1875}[/tex]

   ≈ 21.22 m² ( to 2 dec. places )

Answer:

D. linear; y = –x – 1

Step-by-step explanation:

Linear; y=-x - 1

The slope is negative since it’s decreasing. So it’s not the first equation. It’s not a quadratic equation because there is no forming U shape for this data. It’s not a exponential function because the slope is not 3 and a exponential function is in the form y=a(b)^x

...............................................................................................................................................

Answer:

The correct answer is D) linear; y = –x – 1

Step-by-step explanation:

To find this, use any values in the table and it will produce a true statement. This is how we check to see if a model is correct. See the two examples below for proof.

(4, 5)

y = -x - 1

-5 = -4 - 1

- 5 = -5 (TRUE)

(0, -1)

y = -x - 1

-1 = 0 - 1

-1 = -1 (TRUE)

Answer:

The original price is 80

The new price is 48

Step-by-step explanation:

Let x be the original price

x - .4x = new price

.6x = new price

.4x = markdown

.4x= 32

.4x/.4 = 32/.4

x =80

The original price is 80

.6x = new price

.6(80) =  48

Answer:

<a=32

<b=40

<c=40

Step-by-step explanation:

to find angle a you have to subtract the 50 minus 180 to find the angle close to the 50 because angles in a straight line add up to 180. the answer will be

180-50=130

after finding the angle in that triangle you must add it to the other angle present which is 18° then subtract by 180 because angles in a straight line add up to 180

130+18+a=180

a=180-148

a=32 and that's how you find a

to find b you must know that the angle at the center is twice the angle at the circumference meaning the large angle C is 90°,now if it's 90° inorder to find the big angle B you must add the 18+90 then subtract 180

18+90+B=180

B=180-108

=72

since the combination of angle a and b will give you 72 you can find angle c by subtracting a from 72

c=72-32

=40

then if you look at angle c and angle b you can tell that they are alternating meaning angle b is also 40

I hope this helps

Answer:

$5,102.05

Step-by-step explanation:

Present value of the car = $21,500

Present percentage value = 100% = 1

Percentage of Depreciation per year = 25% = 0.25

Years of depreciation = 5 years

The value of the car after 5 years = Present value of the car (Present percentage value - Percentage of Depreciation per year)^Years of depreciation

= 21,500(1 - 0.25)^5

= 21,500(0.75)^5

= 21,500(0.2373046875)

= 5,102.05078125

Approximately,

The value of the car after 5 years = $5,102.05

Answer:

12 lemons

Step-by-step explanation:

CP of 15 lemon = ₹ 1

Profit = 25 %

SP of 15 lemons = [tex]\frac{100+profit}{100}*CP[/tex]

    [tex]= \frac{125}{100}*1\\\\= \frac{5}{4}[/tex]

SP of 15 lemons =  ₹  [tex]\frac{5}{4}[/tex]

Number of lemon for  ₹  [tex]\frac{5}{4}[/tex]  = 15

Number of lemons for  ₹  1 = 15 ÷ [tex]\frac{5}{4}[/tex]

                                            [tex]= 15 *\frac{4}{5}\\\\= 3*4\\\\= 12[/tex]