What’s the sum in the diagram, a + b + c =

Answer:

20 and 42

Step-by-step explanation:

Let the greater number be x and the smaller number be y.

3(x +y)= 186

x +y= 186 ÷3

x +y= 62 -----(1)

x -y= 22

x= y +22 -----(2)

Substitute (2) into (1):

y +22 +y= 62

2y= 62 -22 (-22 on both sides)

2y= 40

y= 40 ÷2

y= 20

Substitute y= 20 into (2):

x= 20 +22

x= 44

Thus, the two numbers are 20 and 42.

sorry i don't know answe're of this question

Answer:

C is correct

Step-by-step explanation:

a is wrong because: 1*-1*-1*-1 =1

b) 1*1*1*1 =1

d) 1*-1*1*1 =1

only c 1*-1*-1*1 =-1 at the end of polynomial

Step-by-step explanation:

[tex]\huge\mathfrak\red{Answer}[/tex]

We can set this up as a proportion

(1/5) gallon / (2/3) bin = x gallons / 1 bin cross-multiply

1/5 = (2/3)x multiply both sides by the reciprocal of 2/3 = 3/2

(3/2) (1/5) = x = 3/10 gallons fills the entire bin

Look at it this way each 1/10 of a gallon fills 1/3 of the bin.

so 3(1/10) gallons fills 3(1/3)bins..

or

3/10 galons fills a whole bin.

Answer:

Q, quadrant 4

Step-by-step explanation:

Answer:

The letter is     Q

And the quadrant is (x,-y) i.e quadrant no. 4

Step-by-step explanation:

Answer:

max: -4

Step-by-step explanation:

(x+3)^2 》0 mọi x

<=> -(x+3)^2 《0

<=> -(x+3)^2 -4 《 -4

Answer:

right by 3 I think

Step-by-step explanation:

Answer: Right by 3 Units

Step-by-step explanation:

Right on edge 2021

Answer:

x + 1

Step-by-step explanation:

Step-by-step explanation:6x^3 + 6 = 6 ^ 3+ 1 = 6(x+1) (x^2 - x + 1)

Answer:

Currently, Alex is 32 years old. His son is 8 years old,

Solution: denote the age of Alex’s son as ‘x’. Alex’s age is 4x

In 16 years, Alex’s age will be 4x + 16. His son’s age will be x + 16

4x + 16 = 2(x+16). solving this equation yields:

4x + 16 = 2x + 32. Grouping like terms algebraically gives: 2x = 16

Thus x = 16/2 = 8. 4(8) = 32

Answer:

Alex is 24, Bernard is 12, and Calvin is 16.

Step-by-step explanation:

Let Alex's age be A, Bernard's age be B, and Calvin's age be C.

We can write equations to model each situation.

Alex is twice as old as Bernard. In other words:

[tex]A=2B[/tex]

Calvin is eight year younger than Alex. In other words:

[tex]C = A - 8[/tex]

And the sum of all their ages is 52. Therefore:

[tex]A + B + C = 52[/tex]

This is a triple system of equations. We can solve it by substitution. Substitution A and C:

[tex](2B)+B+(A-8)= 52[/tex]

Substitute:

[tex]2B+ B + (2B) -8 = 52[/tex]

Combine like terms:

[tex]5B-8=52[/tex]

Solve for B. Add 8 to both sides:

[tex]5B = 60[/tex]

And divide both sides by five:

[tex]B=12[/tex]

Therefore, Bernard is 12 years old.

Since Alex is twice as old as Bernard, Alex must be 24 years old.

And since Calvin is eight years younger than Alex, Calvin is 16.

In conclusion, Alex is 24, Bernard is 12, and Calvin is 16.

Solve for b:

y = 0x + b

6 = 0 + b

b = 6

The answer is y = 0x + 6

Answer:

3.398

Step-by-step explanation:

log(10) 2500 = log(10) (5^2*10^2) = log(10) 5^2 + log(10) 10^2 = 2*log(10) 5 + 2=3.398

Answer: C- Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.

Note: I'm not sure this is correct o_O

I used a graphing calculator and calculated the t-interval of the jellybean sample using a 99% confidence level:

tInterval 9.68,1.23,125,0.99

It resulted in 9.68 ± 0.287805.

Therefore, we're 99% confident that the weight number of jellybeans would lie between 9.3922 oz and 9.9678 oz.

A weight of 9.45 oz lies within this range, therefore, it is possible that the candy company's claim is true.

Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Mean weight was 9.68 oz

standard deviation of 1.23 oz

n=125

µₙ=9.68

σₙ=1.23/√125

=0.11

Confidence level 99%

z=2.58

-z<x-µₙ/σₙ<z

9.68-2.58(0.11)<x<9.68+2.58(0.11)

9.3962<x<9.9638

9.45 is between this range

Fail to reject the null hypothesis. There is not enough evidence to oppose the companys claim.

Hence, Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.

To learn more on Statistics click:

https://brainly.com/question/29093686

#SPJ2

Answer:

The possible approximate frequencies of the guitar string are 516.82 Hz and 508.82 Hz

Step-by-step explanation:

The given period of the tuning fork, T₁ = 1.95 × 10⁻³ s

The number of beats in 6.0 s = 24 beats

Therefore, the beat frequency, [tex]f_{beat}[/tex] = 4 beats per second = 4 Hz

Let f₁ represent the frequency of the tuning fork, and let f₂ represent the frequency of the guitar string, we have;

f₁ = 1/T₁ = 1/(1.95 × 10⁻³) ≈ 512.82 Hz

We have;

[tex]f_{beat} = \left | f_2 - f_1 \right |[/tex]

[tex]\pm f_{beat} = f_2 - f_1[/tex]

Therefore, we get;

[tex]4 \, Hz= \left | f_2 - 512.82 \, Hz \right |[/tex]

f₂ - 512.82 = ± 4

∴ f₂ = 512.82 ± 4

The possible frequencies of the guitar string,  f₂ ≈ 516.82 Hz or f₂ ≈ 508.82 Hz

Answer:

At least 7 girls: 0.5^7 OR 0.0078125

At least 8 girls: 0.5^8 OR 0.00390625

Answer: A,C,D

Step-by-step explanation:

Answer:

pretty sure it's a, c, and d

Step-by-step explanation:

polygons have straight sides, not curved. it's a 2d figure, and it is enclosed. b doesn't fit the criteria of that because of the fact that the shape is a bit curved, as the other options do fit that criteria.

Answer:

3x = 2

x = 2/3

[tex]\frac{2x^2 + 3x}{x^2 + 1 } =2[/tex]

Step-by-step explanation:

Answer:

(675°F − 32) × 5/9 + 273.15 = 630.372K

Hope it's right if not so sorry :)

Answer:

Step-by-step explanation:

a. amt. of weeks and hours worked

i- dont know...sorry

Answer:

1187.52

Step-by-step explanation:

2 π r h + 2 π r² = 2·π·7·20+2·π·7² ≈ 1187.52202

Answer:

The vertex is (2,1)

Step-by-step explanation:

ƒ(x) = –x^2 + 4x – 3

Factor out the negative

   = -(x^2 -4x+3)

 Factor

What 2 numbers multiply to +3 and add to -4

-3*-1 = 3

-3+-1 = -4

f(x) =  -( x-3)(x-1)

Find the zeros

0 = -( x-3)(x-1)

0 = x-3   0 = x-1

x=3            x=1

The x value of the vertex is 1/2 way between the two zeros

(3+1)/2 = 4/2 =2

To find the y value, substitute x=2 in

f(2) =  -( 2-3)(2-1)

       =-(-1)(1) = 1

The vertex is (2,1)

3/5kg + 760g

3/5kg = 3/5×1000

= 600g

Now

600g + 760g = 1360g

Or 1.36kg

Answered by Gauthmath must click thanks and mark brainliest

Answer:

4√3

Step-by-step explanation:

This is a right triangle. When two sides are given in a right triangle, we need to use the Pythagorean Theorem to solve for the third side.

Pythagorean Theorem: a² + b² = c²

The a here is 11, while the b is x. The c is always the hypotenuse (the longest side), which is 13.

Now we substitute:

11² + x² = 13²

121 + x² = 169

-121           -121

x² = 48

√x² = √48

x = √48 <-- We can simplify that.

√48 = 12 * 4 = 3 * 4 * 4 = 4√3

Hello !

Answer:

[tex]\boxed{\sf x=4\sqrt 3}[/tex]

Step-by-step explanation:

It is a right-angled triangle. To find the value of x, we will have to use the Pythagorean theorem which says that the lengths of the sides of a right-angled triangle satisfy the following equality :

[tex]\boxed{\sf c^2=a^2+b^2}[/tex]

Where :

In this triangle, we can consider a = 11, b = x, and c = 13.

Let's substitute the values of a, b, and c into the formula.

[tex]\sf 13^2=11^2+x^2[/tex]

Now we have to solve the equation to find the value of x.

Let's subtract 11² from both sides and calculate.

[tex]\sf 13^2-11^2=11^2-11^2+x^2\\x^2=13^2-11^2\\x^2=169-121\\x^2=48[/tex]

Reminder : if x² = a (a ≥ 0), then x = ±√a.

Let's apply that to our equation.

[tex]\sf x=\pm \sqrt{48}[/tex]

x represents a distance, it must be positive. The unique solution is:

[tex]\sf x=\sqrt{48}\\\boxed{\sf x=4\sqrt 3}[/tex]

Have a nice day ;)

The image of this question is missing and so i have attached it.

Answer:

dd/dt = 4.47 ft/s

Step-by-step explanation:

From the image attached, let's denote the following;

d = horizontal distance beneath pulley

h = height of pulley

l = diagonal from the pulley to the head of the person

v = velocity of rope rising

Using pythagoras theorem;

l² = d² + h²

Differentiating with respect to time and considering h = c^(te) gives;

2l(dl/dt) = 2d(dd/dt)

We are given;

d = 20 ft

h = 10 ft

v = 4 ft/s

We know that velocity in this case is change in diagonal distance with time. Thus;

v = dl/dt = 4 ft/s

From earlier, we saw that;

2l(dl/dt) = 2d(dd/dt)

Thus, reducing it gives

(dl/dt)(l/d) = dd/dt

Now, l² = d² + h²

l = √(d² + h²)

Also, v = dl/dt = 4

Thus;

4(√(d² + h²))/d = dd/dt

4(√(20² + 10²))/20 = dd/dt

dd/dt = 4.47 ft/s

Answer:

La única comparación que podemos hacer entre un par de números A y B, es la diferencia entre ellos, lo cual nos dice cuál es la distancia entre esos números en la recta numérica.

Es importante recordar la regla de los signos:

(+)*(+) = (+)

(+)*(-) = (-)

(-)*(+) = (-)

(-)*(-) = (+)

A)

+13 y -2

La difencia será:

13 - (-2) = 13 + 2 = 15

Para graficarlos en la recta numérica, recordar que los números negativos van el lado izquierdo, en la imagen de abajo, este par está representado con los puntos A y A.

B) -5 y -7

Aqui la diferencia es:

-5 - (-7) = -5 + 7 = 2

Es decir, hay dos unidades de distancia entre estos números.

En la recta estan representados con B y B'

C) +4 y +1

La diferencia es:

4 - 1 = 3

es decir, hay 3 unidades de distancia entre esos números

En la recta estan representados con C y C'

D) -5 y 0

La diferencia es:

0 - (-5) = 0 + 5 = 5

Es decir, hay 5 unidades de distancia entre esos numeros.

En la recta estan representados con D y D'

Ahora que sabemos la distancia entre cada par, tambien podemos hablar de que pares son mas cercanos entre ellos y ordenarlos.

De mas cercanos a más alejados, el orden es:

B, C, D, A.

Answer:

6(3√3-2)

Step-by-step explanation:

(√8/3 - √24 + √50/3) . √6

(√8/3 - 2√6 + 25√2/3) . √6

(2√2/3 - 2√6 + 25√2/3) . √6

(27√2/3 - 2√6) . √6

(27√12/3 - 12)

9√12-12

√12(9-√12)

2√3(9-2√3)

6(3√3-2)

Answer:

Step-by-step explanation:

[tex]( \sqrt{8/3} - \sqrt{24} + \sqrt{50/3} )* \sqrt{6} =\\\sqrt{48/3} - \sqrt{144} + \sqrt{300/3} =\\\sqrt{16} - 12 + \sqrt{100} =\\4 - 12 + 10 =\\2[/tex]

Percentage increase= $768÷32000=0.024

=0.024×100=2.4%

Answer:

12

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos 60 = 6/hyp

hyp = 6 / cos 60

hyp = 6 / (1/2)

htp = 12

Answer:

Height of the house = 3 meter (Approx.)

Step-by-step explanation:

Given:

Scale model;

1 centimeter = 0.6 meter

According to graph

Height of cube = 5 cube = 5 centimeter

Find:

Height of the house

Computation:

Height of the house = height of the house in scale model x Scale model

Height of the house = 5 x 0.6

Height of the house = 3

Height of the house = 3 meter (Approx.)