What integer values for a and b would make the following statement true?

Answer:

74 pesos

Step-by-step explanation:

Let us assume the one peso coins be x

so, number of five peso would be x + 4

And, the total coins is 22

Now the equation is

x + x + 4 = 22

2x + 4 = 22

2x = 22 - 4

2x = 18

x = 9

Five peso coins is 9 + 4 = 13

Now

= 9(1) + 13(5)

= 9 + 65

= 74 pesos

Answer:

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Identity:

An identity is an equality which is true for all values of a variable in the equality.

(a + b)³ = a³+ b³+ 3ab(a + b)

In an identity the right hand side expression is called expanded form of the left hand side expression.

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Solution:

(i) (2x + 1)³

Using identity

(a + b)³ = a³+ b³+ 3ab(a + b)

(2x + 1)³

= (2x)³ + 1³ + (3×2x×1)(2x + 1)

= 8x³+ 1 + 6x(2x + 1)

= 8x³ + 1 + 12x² + 6x

(ii) (2a – 3b)³

Using identity,

(a – b)³ = a³–b³ – 3ab(a – b)

(2a – 3b)³ = (2a)³– (3b)³ – (3×2a×3b)(2a – 3b)

=8a³–27b³–18ab(2a –3b)

= 8a³–27b³–36a²b + 54ab²

(iii) [3x/2  + 1]³

Using identity,

(a + b)³ = a³+ b³+ 3ab(a + b)

[3x/2 +1]³

=(3x/2)³+1³+ (3×(3x/2)×1)(3x/2+ 1)

=27x³/8+1+9/2x×(3x/2+1)

= 27x³/8 + 1 + 27/4 x² + 9/2x

= (27/8)x³ + (27/4) x² + 9/2 x + 1

(iv) [x–2/3 y]³

Using identity,

(a - b)³=a³-b³-3ab(a-b)

(X+ 2/3y)³

= (x)³–(2/3 y)³– (3×x×2/3 y)(x – 2/3 y)

= x³– 8y³/27–2xy(x – 2/3 y)

= x³– (8/27)y³–2x²y+ 4/3xy²

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

Hope this will help you....

Step-by-step explanation:

Answer:

1244/999

Step-by-step explanation:

So we have 1.245245245245.... which we call x.

If we times this by 1000 (because 3 digits repeat) we get

1000x = 1245.245245245....

Subtract x from both sides:

999x = 1245.245245245... - 1.245245... = 1244

This means that x = 1244/999

This fraction cannot be simplified so this is the answer.

If you want to include the 1 in the repeating (1.2451245...) do the same but the sequence is 4 digits so times by 10000 instead.

Answer:

La regla de los signos son los positivos y los negativos.Pero otra cosa son cuales son las raglas de los signos.

Answer:

x = 40°

Step-by-step explanation:

angle A is a vertical angle with 60 so it's 60

60+80 = 140

180-140 = 40

Answer:

[tex]\boxed{\tt x=40^{\circ}}[/tex]

Step-by-step explanation:

∠x, ∠BAC, and ∠CAF form a straight line.

*Sum of angles that are formed on a straight line is equal to 180°.*

[tex]\tt \angle x+\angle BAC+\angle CAF=180^{\circ}[/tex]

[tex]\tt x+\angle BAC+\angle CAF=180^{\circ}[/tex]

[tex]\tt x+80^{\circ}+\angle 60^{\circ}=180^{\circ}[/tex]

Add, 80°+60°=140°

[tex]\tt x+140^{\circ}=180^{\circ}[/tex]

Subtract 140 from both sides:

[tex]\tt x+140^{\circ}-140^{\circ}=180^{\circ}-140^{\circ}[/tex]

[tex]\tt x=40^{\circ}[/tex]

_____________________________

Answer:

x=2.192785

Step-by-step explanation:

52x−1=12x

log(52x−1)=log(12x)

(2x−1)*(log(5))=x*(log(12))

2x−1=(

log(12)

log(5)

)*(x)

2x−1=1.543959*x

2x−1=1.543959x

2x−1−1.543959x=1.543959x−1.543959x 1.543959x

0.456041x−1=0

0.456041x−1+1=0+1

0.456041x=1

0.456041x

0.456041

=

1

0.456041

0.456041)

x=2.192785

Answer:

x = 2.19

Step-by-step explanation:

Given that,

An equation, [tex]5^{2x-1} =12^{x}[/tex]

To find,

The value of x.

Solution,

We have,

[tex]5^{2x-1} =12^{x}[/tex]

Taking log both sides,

[tex]\text{log}(5^{2x-1})=\text{log}(12^x)[/tex]

We know that,

[tex]\text{log}\ a^n=n\ \text{log}a[/tex]

So,

[tex](2x-1)\text{log}5=x\ \text{log}12[/tex]

So,

[tex](2x-1)0.6989=1.0791x\\\\1.3978x-0.6989=1.0791x\\\\1.3978x-1.0791x=0.6989\\\\0.3187x=0.6989\\\\x=\dfrac{0.6989}{0.3187}\\\\x=2.19[/tex]

So, the value of x is equal to [tex]2.19[/tex].

Reference,

https://brainly.com/question/14968632

Answer:

15= number of years

Step-by-step explanation:

Giving the following information:

Current value= $300

Growth per year= $40

Triple value= $900

To calculate the number of years it will take to transform $300 into $900, we need to use the following formula:

Future value= current value + (growth rate per year*number of years)

900 = 300 + (40*number of years)

600= 40number of years

600/40= number of years

15= number of years

Answer:

A system of equations consists of two or more equations with two or more variables, where any solution must satisfy all of the equations in the system at the same time.

Answer:

6(d - 5)

Step-by-step explanation:

Answer:

d-30

Step-by-step explanation

6*5 the do d- that which is d-30

Answer:

1. 2x² - 8x - 7

2. x³+ x + 30

Step-by-step explanation:

[tex]2 {x}^{2} - 9x - 2 +x - 5[/tex]

[tex]2 {x}^{2} - 8x - 7[/tex]

2x² has no other like terms to add or substract with so it stays as is.

(-9x) + x = -8

(-2) - 5 = -7

or

(-2) - (-5) = 3

Watch out for the ones on top. I'm a bit confused about them but those ones are your possible options.

//

[tex] {x}^{3} + 27 + x + 3[/tex]

[tex] {x}^{3} + x + 30[/tex]

x³ stays as is and so does x.

27 + 3 = 30

Answer:

1. 42

2. d cuz it has nothing-

3. A

all im saying cuz ik u can do this

Answer:

number 1 is 52% i am  goin through them

Step-by-step explanation:

Answer:

A) <6, 2>

Step-by-step explanation:

Moves along x-axis to the right six units. Moves along y-axis upward two units.

Answer:

which vector translated the triangle to its image?

A. < 6 , 2 >

Answer:

sorry no se la respuesta

Answer:

The triangles are similar

Step-by-step explanation:

Since EF ║ UT, m∠FUT = m∠EFU because alternate interior angles are congruent when lines are parallel.

m∠UDT = m∠EDF because vertical angles are congruetnt

Therefore ΔUDF is similar to ΔFDE because if two angles of a triangle are congruent to two angles of another triangle, then the triangles are similar.

Step-by-step explanation:

Las organizaciones son estructuras administrativas y sistemas administrativos creadas para lograr metas u objetivos con el apoyo de las propias personas, o con apoyo del talento humano o de otras características similares.

[tex]{\huge{\pink{\mathcal{AA\:postulate࿐❤}}}} [/tex]

Answer: 1/5

Step-by-step explanation:

Let the amount of rainfall in the second half of the month be represented by x.

From the information given in the question, the equation formed will be:

3/10 + x = 1/2

x = 1/2 - 3/10

x = 5/10 - 3/10

x = 2/10

x = 1/5

Therefore, the answer is 1/5

Answer:

y=-2x+7

Step-by-step explanation:

See image

Step-by-step explanation:

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

Answer:

[tex] m\angle A =40\degree [/tex]

[tex] m\angle D =40\degree [/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle A = \frac{1}{2} \times 80\degree [/tex]

[tex] m\angle A =40\degree [/tex]

[tex] m\angle D= \frac{1}{2} \times 80\degree [/tex]

[tex] m\angle D =40\degree [/tex]

Answer:

hi kpop fan

Step-by-step explanation:

she is blackpink jisoo in your profile pick right

Answer:

they will receive 4 banana

Answer:

Could you please repeat the question?

Answer:

Answer:

Step-by-step explanation:

What help!

Thanks for free points!

Have a nice day!

Answer:

Step-by-step explanation:

Use the formula x-x1/x1-x2 = y-y1/y1-y2

Answer:

329.91 cm^2

Step-by-step explanation:

A ring-shaped region is shown below. Its inner radius is 8m, and its outer radius is 11m. 8m 11m Find the area of the shaded region. Use 3.14 for π. Do not round your answer.

Your answer

Given data

inner radius= 8cm

area= πr^2

area= 3.142*8^2

area= 3.142*16

area= 50.272 cm^2

outer radius= 11cm

area= πr^2

area= 3.142*11^2

area= 3.142*121

area= 380.182 cm^2

Hence the area of the shaded part is

=380.182-50.272

=329.91 cm^2

Answer:

2

Step-by-step explanation:

The only even number which is a prime is 2. It is the smallest prime number. Except 2, all other prime numbers are odd numbers.

Answer:

Answer is 2

Step-by-step explanation:

The only even number which is a prime is 2. It is the smallest prime number. Except 2, all other prime numbers are odd numbers.

I hope it's helpful!

Answer:

C) Linear

Step-by-step explanation:

To find this, I turned the situation into an expression. The expression representing this would be: 2x + 5 (a linear function). The 2x represents how much his dad gives Joseph weekly. The 5 represents how much Joseph already has.

Hope it helps!

Answer:

I suppose that you want to see how we can find the volume of each individual slab with the given information, the procedure is as follows.

The walkway has 3 cement slabs,

He uses a total amount of 14 cubic feet to make the complete walkway.

This means that the 3 cement slabs together have a total volume of 14 ft^3

To find the volume of each slab, we need to find the quotient between the total volume and the total number of slabs, then we get:

Volume of each slab = (14 ft^3)/3 = 4 ft^3

This means that each cement slab has a volume of 4 ft^3.

Answer:

6 ft^3

Step-by-step explanation:

The number of people who likes to swim than hike is given by the equation A = 2 people

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It demonstrates that the expressions on the left and right sides are connected in the same way.

An equation has components like as coefficients, variables, operators, constants, terms, expressions, and the equal to sign. The "=" sign and terms on both sides are required when generating an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number of people who likes to swim be s= 4 people

Let the number of people who likes to hike be h = 2 people

Let the number of people who likes to bike be b = 3 people

Now , the equation will be

The number of people who likes to swim than hike A = number of people who likes to swim - number of people who likes to hike

The number of people who likes to swim than hike A = s - h

The number of people who likes to swim than hike A = 4 - 2

The number of people who likes to swim than hike A = 2 people

Hence , the number of people who likes to swim than hike is A = 2 people

To learn more about equations click :

https://brainly.com/question/19297665

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