Ann Pablo and Dan have a total of $78 in their wallet ann has 10 more than Dan Pablo has two Times what Dan has how much do they have

Answer:

Step-by-step explanation:

These are geometric means problems. In the top one, a is the geometric mean as the height for both the smaller triangles inside the big one. Therefore,

[tex]\frac{4}{a} =\frac{a}{25\\}\\a^2=100\\a=10[/tex]

The next one has the geometric mean of b, being a part of the smaller triangle on the left and the big triangle as a whole:

[tex]\frac{4}{b} =\frac{b}{29}\\b^2=116\\b=10.77[/tex]

Answer:

4

Step-by-step explanation:

(a,a),(a,b),(b,a),(b,b)

Answer:

[tex]x=7+2\sqrt{5} ,7-2\sqrt{5}[/tex]

Step-by-step explanation:

[tex]x^{2} =14x+11[/tex]

[tex]x^{2} -14x-11=0[/tex]

[tex]x\frac{-b\pm\sqrt{b^{2} -4ac} }{2(a)}[/tex]

[tex]x=\frac{14\pm\sqrt{(-14)^{2} -4(1)(-11)} }{2(1)}[/tex]

[tex]x=\frac{14\pm\sqrt{240} }{2}[/tex]

[tex]x=\frac{14\pm4\sqrt{15} }{2}[/tex]

[tex]x=7+2\sqrt{5} ,7-2\sqrt{5}[/tex]

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Answer:

Solution given:

x²=14x+11

keeping all term on same side

x²-14x-11=0

trying to make it a perfect square

x²-2*7*x+7²-7²-11=0

By using formula of (x-y)²=x²-2xy+y²we get

(x-7)²-60=0

keeping 60 in right side

(x-7)²=60

doing square root on both side

[tex]\frac{(x-7)²}=\sqrt{60}[/tex]

we get

x-7=[tex]\sqrt{5*3*2*2}[/tex]

x-7=±2[tex]\sqrt{15}[/tex]

So

x=7±2[tex]\sqrt{15}[/tex]

Either

or

Answer:

bc=  7

Step-by-step explanation:

Answer:

-5≤y≤-1

Step-by-step explanation:

The range is the values that y takes

The smallest value of y is -5 and the largest value of y is -1

-5≤y≤-1

Answer:

Does the answer help you?

Answer:

102 cm³

Step-by-step explanation:

Volume of R1:

length = 7 cm

Width = 3 cm

Height = 2 cm

Volume = 7* 3  * 2 = 42 cm³

Volume of R2:

length = 5 cm

Width = 4 cm

Height = 3 cm

Volume = 5 * 4 * 3=  60 cm³

Volume of the figure = 42 + 60 =  102 cm³

Answer:

4.5 units

Step-by-step explanation:

Use the distance formula

[tex]\sqrt{(-1-3)^{2}+(-1-1)^{2} }[/tex]

[tex]\sqrt{16+4}=\sqrt{20}[/tex]

The distance AB on the diagram rounded to the nearest tenth is: 4.5 units

Distance can me defined as a measure that tells us how far apart two objects or individual are to each other.

Distance is very important as it helps us know where exactly things are located and whether they are close or  far apart

In conclusion, The distance AB on the diagram rounded to the nearest tenth is: 4.5 units

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The system that could be used to find how many candy bars each sold is given is option B.

Since Ethan sold 15 fewer candy bars than Chloe, as portrayed in the question, so:

e = C - 15

Based on the fact that Chloe and Ethan raised the same amount of money, the equation will be:

2C: 2.5e + 6

Therefore, The system that could be used to find how many candy bars each sold is given is option B.

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Answer:

3136 = 2^6 × 7^2

2744 = 2^3 x 7^3

✓3136/3✓2744​ = ✓(2^6 × 7^2)/3✓(2^3 x 7^3) = (2^3 x 7)/3 x 14(✓14) = 56/42✓14 =4/3✓14

Answer:

5i +(5/3)j - (5/3)k

Step-by-step explanation:

Vector b is in the same direction as vector a, so it is a scalar multiple of a.

b = ca for some positive real number c.

b = c(3i + j - k) = 3ci + cj - ck

|b| = sqrt[(3c)^2 + c^2 - c^2] = sqrt(9c^2) = 3c

If |b| = 5, then 3c = 5 and c = 5/3

That makes b = (5/3)(3i + j - k) = 5i +(5/3)j - (5/3)k

Answer:

w = 15 (4^t)

Step-by-step explanation:

Let w be what the function is equal to

Let t be the input variable

equation :

w = k a^t

Plug in any two of the points to solve for k and a

for example, let's take (1, 60) and (2, 240):

60 = k * a^1

k = 60 / a

240 = k a^2

Substituting:

240 = 60/a (a^2)

a = 4

k = 15

The function is

w = 15 (4^t)

Answer:

B.y = 3x - 1

Step-by-step explanation:

Pick two points on the line

(0,1) and (2,5)

The slope using the slope formula

m = (y2-y1)/(x2-x1)

   = ( 5-1)/(2-0)

  = 4/2

  = 2

We want a slope that is greater than 2

The slope intercept form of the equation is

y = mx+b where m is the slope

y = 3x - 1  has a slope of 3 which is greater than 2

Answer:

let R represent red hair

let G represent green eyes

from Baye's theorem:

[tex]P( \frac{R}{G} ) = \frac{P(RnG)}{P(G)} [/tex]

P(RnG) = 5

[tex]P(G) = { \sum}(green \: hair) \\ = (3 + 5 + 5) \\ = 13[/tex]

Therefore:

[tex]P( \frac{R}{G} ) = \frac{5}{13} \\ = 0.385[/tex]

The conditional relative frequency = 0.385

The conditional relative frequency will be  0.385

It is a theorem showing how to compute the conditional probability of each of a set of possible causes for a given observed outcome using knowledge about the probability of each cause and the conditional probability of each cause's outcome.

let R represent red hair

let G represent green eyes

from Baye's theorem:

[tex]P=\dfrac{R}{G}=\dfrac{P(R\cap G)}{P(G)}[/tex]

P(RnG) = 5

P(G) = ∑(Green hairs)

P(G)= 13+5+5 = 13

Therefore:

[tex]P(\dfrac{R}{G})= \dfrac{5}{13}=0.385[/tex]

The conditional relative frequency = 0.385

Hence the conditional relative frequency will be  0.385

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Answer:

y=2/3x

Step-by-step explanation:

2/3 is greater than 1/2. It doesn't matter if one of the slopes are negative.

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:

B

Step-by-step explanation:

x((7/2)-(7/3))=y+x

x(7/6)=y+x

7x=6y+6x, x=6y. y/x=1/6

Answer:

Intergers

Step-by-step explanation:

A subset is a part of a whole math concept, idea, or sample space.

We need to find what math concept -5 is apart of.

-5 is part of the All Real Numbers section.

-5 is also part of integers as well.

Answer:

The choose C. 18

Step-by-step explanation:

UC —> 105+82=187 —> 96+22+51=169 —> 187–169=18

I hope I helped you^_^

Answer:

27/200

Step-by-step explanation:

To write 0.135 as a fraction you have to write 0.135 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number. 0.135 = 0.135/1 = 1.35/10 = 13.5/100 = 135/1000

Answer:

27/200

Step-by-step explanation:

your teacher tried to be tricky.

0.135 is simply 135/1000.

that is how you can express any finite decimal number.

anyway, now, we need to transform that fraction into one of the provided fractions. so, which one fits ?

with experience you see it right away. otherwise by simply trying.

in any case, the first option is the right one.

proof :

27/200 = 135/1000 ?

the denominator is our driver : what factor do I need to turn 200 into 1000 ? right, 5 ! 200×5 = 1000

so, we multiply numerator and denominator by 5 (it is important to do that for both, so that the value of the fraction does not change).

27/200 × 5/5 = (27×5) / (200×5) = 135/1000

and that is the proof. 27/200 is indeed 0.135

Answer:

Krishna is at the 7th floor

Step-by-step explanation:

Given

[tex]Start = 12[/tex]

[tex]Up = 3[/tex]

[tex]Down = 8[/tex]

Required

The current floor

This is calculated as:

[tex]Floor = Start + Up - Down[/tex]

[tex]Floor = 12 + 3 - 8[/tex]

[tex]Floor = 7[/tex]

Answer:

I believe this might be the answer 52 − 1 + 5/1= 56

Answer:

56

Step-by-step explanation:

hope it helps ^^.

Answer:

Step-by-step explanation:

17.

The expression 4(x-7) is the product of 4 and the difference of x and 7.

18.

The expression 2+8/c is the sum of 2 and the quotient of 8 and c.

Answer:

50 or 125

Step-by-step explanation:

if u want E=MC then it would be 20 ×2.5=50

OR

if u what to find E=MC² then it would be 20×2.5×2.5 =125

ACCORDING TO ME THIS SHOULD BE THE ANSWER, BUT NOT QUITE SURE ABOUT THIS.

Answer:

E = 50

Step-by-step explanation:

If M=20 and C=2.5, replace the letters in the equation with their numerical values so E=20*2.5

20*2.5 = 50

thus E=50

Answer:

13

Step-by-step explanation:

The diagonals of rectangle are equal in length.

Answer:

27,880 for tutitions + 45,280 for room and board= 73,160 total

Answer:

Step-by-step explanation:

That's an awful lot of points. You don't have to give that many. 10 or 15 points would be more than enough.

The graph touches the x axis at 1 point. That means its basic formula is y = (x - a)^2

Since it  upside down, the formula is y = -(x - a)^2. A couple of other things are true.

a = 1 because that's where the graph touches the x axis. y = - x^2 has shifted 1 unit to the right.

Finally the y intercept is -4 which means that the final equation is y = -4(x-1)^2

That's all preliminary. The actual question is, what does the discriminate look like?

y = -4(x^2 - 2x + 1)

y = -4x^2 + 8x - 4

a = - 4

b = 8

c = - 4

sqrt(b^2 - 4ac)

sqrt(8^2 - 4(-4)(-4) )

sqrt(64 - 64) = 0

The answer is the third one. The answer will always be 0 when the graph touches the x axis and does not go through it.

Answer:

(b)

Total frequencies:

Multiples of 3 or 5:

Required probability:

(c)

(i) Good limes = GL = 10

(ii) Good fruits = GF = 10 + 8 = 18

(iii) Good apple = GA = 8, Bad lime = BL = 6

Answer:

Not a function

Step-by-step explanation:

Since  x  =  1  produces  y = 3  and  y  = 4 , the relation is not a function.

( − 2 , − 5) , ( − 1 , − 3 ) , ( 0 , 0 ) , ( 1 , 3 ) , ( 1 , 4 )

The domain cannot be the same value.

Answer:

y = - x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here gradient (slope) = - 1 and (0, 5) ⇒ c = 5

y = - x + 5 ← equation of line

Answer:

Hello,

Step-by-step explanation:

f(x)=x+3 if -3≤x≤-1

(the line is passing trough (-3,0) and (-1,2) ==> y-0=(x+3)((2-0)/(-1+3) ==> y=x+3

f(x)=5 if -1≤x≤1