Corrado has 27 books in his room that he has already read. He wants to give them away to his 3 younger siblings. How many books will each of Corrado's siblings receive? If b represents the number of books each sibling receives, which equation could be used to solve the problem?

annual percentage rate

Answer:

Negative 4 x minus 3 y + 3 z.

Step-by-step explanation:

We need to simplify the given expression : (-5x-3y)-(-x-3z)

Here, x,y and z are variables.

Combining like terms, we get :

(-5x-3y)-(-x-3z) = (-5x-3y)+x+3z

= (-5x+x)-3y+3z

= -4x-3y+3z

Hence, the equivalent expression is -4x-3y+3z. Hence, the correct option is (b) "The simplified expression is Negative 4 x minus 3 y + 3 z".

Answer:

a,b,d

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

Given the point

P(x, y)

Please note that when we translate a point 'c' units left, the 'c' units are subtracted from the x-values, and when translating a point 'c' units right, we add the 'c' units to the x-values.

Also, note that when we translate a point 'c' units down, the 'c' units are subtracted from the y-values, and when translating a point 'c' units up, we add the 'c' units to the y-values.

After First Translation:

3 units left and 5 units up

P(x, y) → P'(x-3, y+5)

After Second Translation:

Translate the image 5 units right and 2 units up.

P'(x-3, y+5)  → P''(x-3+5, y+5+2) = P''(x+2, y+7)

Thus, the coordinates  of the point(x, y) after the translations are:  P''(x+2, y+7)

TAKING AN EXAMPLE

Let us consider that point

P(0, 0)

After First Translation:

3 units left and 5 units up

P(0, 0) → P'(0-3, 0+5) = P'(-3, 5)

After Second Translation:

Translate the image 5 units right and 2 units up.

P'(-3, 5) → P''(-3+5, 5+2) = P''(2, 7)

Thus, the coordinates  of the point P(0, 0) after the translations are:

Answer: P''(2, 7). (hope this is what you wanted)!

Answer:

B. 30 degrees

Step-by-step explanation:

Find the diagram attached

From the diagram:

Interior angles are m<3 and m<2

Exterior angle = <4

using the rule that says that the sum of interior angles is equal to the exterior angle we have:

m<2+m<3 = m<4

(4/3)x°+20 = 2x°

multiply through by 3:

4x° + 60 = 6x°

4x°-6x° = -60

-2x° = -60

x°= -60/-2

x° = 30°

Hence the value of x is 30 degrees

Answer:

[tex]log( \frac{1}{ {10}^{ - 5} } ) = log( {10}^{5} ) = 5 log(10) = 5[/tex]

Answer:

See below

Step-by-step explanation:

Parent function:

Transformed function:

Transformations to be applied:

Answer:1

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

-2*x+5-(7)<0

Step by step solution :

STEP

1

:

Pulling out like terms

1.1 Pull out like factors :

-2x - 2 = -2 • (x + 1)

Equation at the end of step

1

:

STEP

2

:

2.1 Divide both sides by -2

Remember to flip the inequality sign:

Solve Basic Inequality :

2.2 Subtract 1 from both sides

x > -1

Inequality Plot :

2.3 Inequality plot for

-2.000 X - 2.000 > 0

One solution was found :

x > -1

Answer:

its 1, i think...

Step-by-step explanation:

If they are asking which one would equal to -2x+5<7 just combine like terms by moving the 5 to the 7 and get 7-5=2. So -2x=2, then 2/-2 is -1. Basically the answer is x=-1. But it seems like thats not a choice...

Answer:

8km

Step-by-step explanation:

Going by the sketch attached in the picture, the distance between starting point and present position is 8 km.

The sketch is crucial to determine the answer to the question, Hence, kindly check the picture attached for reasoning being the choice of result.

Answer:

y = 2x + 1

Step-by-step explanation:

Since you have an equation and a point, all you need to do is substitute the coordinates into the equation and then solve for the y-intercept (or "b"):

y = mx + b

y = 2x + 2

(-3, -5)

-5 = 2(-3) + b

-5 = -6 + b

-5 + 6 = b

b = 1

Now you have your final equation:

y = 2x + 1

*Remember that parallel lines have the same slope, so finding a new slope is not needed!

Answer:

(-1,-1 )

and (2,11)

Step-by-step explanation:

put first value to x and second value to y and see if y satisfy the equation

Answer:

[tex]let \: slope \: be \: s \\ s = \frac{( {y}^{1} - {y}^{o} ) }{( {x}^{1} - {x}^{o} ) } \\ s = \frac{( - 4 - 2)}{( - 3 - 3)} \\ s = \frac{ - 6}{ - 6} \\ s = 1[/tex]

Answer:

4 and 20

Step-by-step explanation:

100 times 5 is 500. If we go backwards 500 ÷ 5 = 100.

100 ÷ 5 = 20. 20 ÷ 5 = 4.

An exponential sequence is a sequence that grows more every time. It would get really big really quickly.

The first and second numbers in this sequence is 4 and 20

Given that,

Based on the above information, the calculation is as follows:

[tex]= 500 \div 100[/tex]

= 5

And,

[tex]= 100 \div 5 = 20, \\\\20 \div 5 = 4[/tex]

Learn more: https://brainly.com/question/834969?referrer=searchResults

Answer:

Just about 3.6

Step-by-step explanation:

a² + b² = c²

√(a² + b²) = c

√(2² + 3²) = c

√(4 + 9) = c

√(13) = c

3.605551275 = c

c ≈ 3.6

Answer:

p = 3 as angle C and angle D are equal which means they are isoceles triangle and their base sides are equal i.e DB=CB so p. = 3

Answer:

0.3%

Step-by-step explanation:

45kg-15kg=30kg

Percentage: 30kg = 0.3%

so 0.3%

hope it helps!

Responda:

0,004816 m²

Explicação passo a passo:

Dado que :

Dimensão da tela retangular do celular = 5,6 cm por 8,6 cm

A área de um retângulo = comprimento * largura

Área da tela do celular = 5,6 cm * 8,6 cm = 48,16 cm²

A área em m²:

1m² = 10000cm²

Conseqüentemente,

(48,16 / 10.000) m²

= 0,004816 m²

Answer:

4x-3

Step-by-step explanation:

Yea

Answer:

y = 2x + 14

Step-by-step explanation:

Answer:

y = 2x + 14

Step-by-step explanation:

Use the slope equation:

[tex]m = \frac{y2-y1}{x2-x1}[/tex]

[tex]m = \frac{6-(-2)}{-4-(-8)}\\m = \frac{8}{4}\\m = 2[/tex]

Next, find the y-intercept by subbing in one of the points and the slope into what you have so far in the equation:

(-8, -2)

y = mx + b

-2 = 2(-8) + b

-2 = -16 + b

-2 + 16 = b

b = 14

Now you have your final equation:

y = 2x + 14

Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.

So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 188 dollars.

The solution would still clear your concept though.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

[tex]c(x)=18x-10[/tex]

The slope-intercept form of the line equation

We know that the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

so

comparing with the slope-intercept form of the line equation

here:

and

'x' represents the number of tickets

Assuming the total cost i.e. c(x) = $188

In order to determine the value of x, set c(x) = 188

i.e.

188 = 18x -10

switch sides

188x - 10 = 170

add 10 to both sides

18x - 10 + 10 = 188 + 10

18x = 198

Divide 18 to both sides

18x/18 = 198/18

x =  11

Therefore, if you can buy x = 11 tickets if you pay  170 dollars.

Answer:

w = - 3 and v = - 2

Step-by-step explanation:

Because w + 6 = 3 you would subtract 6 and whatever you do to one side you would do to the other.

w= - 3

Answer:

[tex]w + v = 3[/tex]

Step-by-step explanation:

Solve for w

[tex]w + 6 = 3[/tex]

Move 6 to subtract 3.

[tex]w = 3 - 6 \\ w = - 3[/tex]

Solve for v

[tex]v - 4 = 2[/tex]

Move 4 to add 2

[tex]v = 4 + 2 \\ v = 6[/tex]

Solve for w+v

Substitute w = -3 and v = 6

[tex]w + v = - 3 + 6 \\ w + v = 3[/tex]

Answer:

[tex]200 + 0.07m \leq 230[/tex]

A maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.

Step-by-step explanation:

Given that:

Rent to be paid for the car in the weekend = $200

Charges to be paid per mile = $0.07

Total money available  with Divya = $230

To find:

The inequality as per her limitations and solution to the problem.

Solution:

Let the number of miles for which Divya can drive = [tex]m[/tex] miles

Charges for one mile = $0.07

Charges for [tex]m[/tex] miles = $0.07[tex]m[/tex]

Total charges for renting and [tex]m[/tex] miles = Rental charges + Operational charges

Total charges for renting and [tex]m[/tex] miles = $200 + $0.07[tex]m[/tex]

These are charges must be lesser than equal to the amount of money available with Divya.

Therefore, we can write:

[tex]200 + 0.07m \leq 230[/tex]

Subtracting 200 from both the sides:

[tex]0.07m \leq 30[/tex]

Dividing both sides with 0.07:

[tex]m \leq \dfrac{30}{0.07}\\m\leq 428.6[/tex]

Therefore, a maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.

Answer:

A. The gross pay is $2100 (24×80)+(5×36)

B. 2100-1719.50 = $380.5

C. (1719.50/2100) × 100 = 81.9%

Answer: 36cm

Step-by-step explanation:

From the question, we are informed that the ratio of the sides of two similar polygons is 3:2 and that the area of the smaller polygon is 24cm squared.

Therefore, the area of the larger polygon would be calculated as:

= 24cm ÷ 2/3

= 24cm × 3/2

= 36cm

Step-by-step explanation:

566 - 11 = 555

555 / 15 = 37.

The number is 37.

Answer:

[tex]\boxed{\pink{\sf \leadsto The \ required \ number \ is \ 37 . }}[/tex]

Step-by-step explanation:

We need to find the number By what number must be 566 be divided so as to give a quotient 15 and reminder 11.

So , let us take the number be x .

Now , we know that ,

[tex]\boxed{\red{\bf Dividend = Quotient\times Divisor + Remainder }}[/tex]

Here , 566 will be Dividend , 11 is remainder and 15 quotient . x will be the Divisor .

[tex]\implies Dividend = Quotient\times Divisor + Remainder \\\\\implies 566 = 15 \times x + 11 \\\\\implies 566 = 15x + 11 \\\\\implies 15x = 566 - 11 \\\\\implies 15x = 555 \\\\\implies x =\dfrac{555}{15}\\\\\underline{\boxed{\orange{ \tt \implies x = 37}}}[/tex]

Answer:

g(x) = [x/6]

Step-by-step explanation:

The given graph is f(x)=[x]

On stretching the function f(x) by a factor of 6, the new function g(x) is

g(x) = f(x/6)

So, g(x) = [x/6]

Hence, on stretching the f(x) by a factor of 6, the new function g(x)=[x/6].

Note that none of the given options matched.

Answer:

Step-by-step explanation:

Jolene speed =40 mph

Samantha speed=50mph

let x be the time Samantha needs to be ahead of Jolene

40x+25=50x

25=50x-40x

25=10x

x=2.5 hours

Answer:

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

Step-by-step explanation:

2A + 4B = 5

A = 3B

2(3B) + 4B = 5 [substitute the A for the 3B]

10B = 5 so B = 1/2 [now plug the info in]

2A + 4(1/2) = 5

2A + 2 = 5 [subtract 2 from both sides of the equation]

2A = 3  [divide by 2 to isolate A]

A = 3/2  [now plug in the answers to check your work]

2(3/2) + 4(1/2) = 5

6/2 + 4/2 = 3 + 2 = 5

Answer:

Mistake is 2x + 3 = 6. It should be 2x + 6 = 6. Therefore x = 0

Step-by-step explanation:

2(x + 3) = 6

Expand the bracket:

2x + 6 = 6

Subtract 6 from both sides:

2x = 0

Divide both sides by 2

x = 0

Answer:

d

Step-by-step explanation: