Leticia charges $8 per hour to babysit. She babysat Friday night for 4 hours,
and then she babysat again on Saturday. She earned a total of $72. How
many hours did Leticia babysit on Saturday?
Choose two answers: one for the equation that models this situation and one
for the correct answer.

A. Equation: 8(4 + x) = 72
B. Equation: 4(8 + x) = 72
C. Answer: 5 hours
D. Answer: 11 hours

Answer: 2nd, 3rd, and 5th are true

Step-by-step explanation:

The first statement cannot be true, if n ≥ 5, which is given, then ZY must be greater than XY

The second statement must be true, as long as n ≥ 5, ZY will always be greater than XZ and XY, and therefore, the angle opposite to ZY will always be the greatest angle, so X is the largest angle

The third statement must be true for the same reasoning as the second statement. The side opposite to angle Z will always be greater than the side opposite of angle Y, meaning that angle Z will always be greater than angle Y (assuming n ≥ 5).

The fourth statement is false, we already proved that X is the largest angle and XZ is not opposite of angle X.

The fifth statement is true, XZ will always have the lowest value as long as n ≥ 5.

All the correct statements regarding the sides and angles of the triangle are,

⇒ Angle X is the largest angle.

⇒ Angle Z is greater than angle Y.

⇒ XZ is the shortest side.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle XYZ is shown,

where n ≥ 5

Now, We get;

For n = 5;

XY = n + 4 = 5 + 4  = 9

YZ = 2n = 2 x 5 = 10

ZX = n - 2 = 5 - 2 = 3

Hence, We get;

⇒ ZX < XY < YZ

And, ∠X > ∠Z > ∠Y

Thus, All the correct statements regarding the sides and angles of the triangle are,

⇒ Angle X is the largest angle.

⇒ Angle Z is greater than angle Y.

⇒ XZ is the shortest side.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ7

Answer:

[tex]\large\boxed{(3a+2)(4a^2-2a+9)=12a^3+2a^2+23a+18}[/tex]

Step-by-step explanation:

[tex](3a+2)(4a^2-2a+9)\qquad\text{use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(3a)(4a^2)+(3a)(-2a)+(3a)(9)+(2)(4a^2)+(2)(-2a)+(2)(9)\\\\=12a^3-6a^2+27a+8a^2-4a+18\qquad\text{combine like terms}\\\\=12a^3+(-6a^2+8a^2)+(27a-4a)+18\\\\=12a^3+2a^2+23a+18[/tex]

Answer:

bru thats not the answer^

Step-by-step explanation:

Answer:

|–4| < |–8|, |–5| > 1, |–2| = |2|

Step-by-step explanation:

Answer:

B, C, and E.

Step-by-step explanation:

–4 < –8

|–4| < |–8|  

|–5| > 1

–5 > |1|

|–2| = |2|

Absolute Value  Assignment

Understanding Absolute Value and Magnitude

Answer:

8 inches

Step-by-step explanation:

The problem gives us a basic formula, the volume formula for a rectangular prism. All we have to do is use this formula, plug in all the values that are given, and solve for the unknown value.

[tex]V = lwh[/tex]

[tex]192 = l(12)(2)[/tex]

[tex]192 = 24l[/tex]

From here, all we need to do is divide 24 from both sides of the equation, since what you do to one side of the equation you must do to the other!

[tex]8 = l[/tex]

The length of the box will thus be 8 inches.

it is going to be 8 inches                                                                                                    Hope it helps !!!!!

Answer:

56

Step-by-step explanation:

After inserting the given values, u + xy becomes (2) + (9)(6), or 2 + 54, or 56.

Answer:

56

Step-by-step explanation:

2 + 9(6) = 56

Answer:

w+7<26

Step-by-step explanation:

number w increased by 7 means w+7

ls less than 25 means <25

So we have w+7<26

Answer: 64 °

64-1=63.

The parallel lines make the angles equal so they have the same measurement.

Answer:

d = 6

Step-by-step explanation:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2 )

Givens

x2 = -12

x1   = -6

y2 = 4

y1 = 4

Solution

d = sqrt (-12 - - 6)^2 + (4 - 4)^2 )

d = sqrt ( ( - 6)^2 + 0)

d = sqrt(36)

d = 6

Answer:

6

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 6, 4) and (x₂, y₂ ) = (- 12, 4)

d = [tex]\sqrt{(-12+6)^2+(4-4)^2}[/tex]

  = [tex]\sqrt{(-6)^2+0^2}[/tex] = [tex]\sqrt{36}[/tex] = 6

Answer:

C) $9.00

Step-by-step explanation:

For this case we have that the cost of a ticket is given by the variable "x". We have the following equation:

[tex]4x + 12 = 48[/tex]

By clearing "x" we have:

We subtract 12 on both sides of the equation:

[tex]4x = 48-12\\4x = 36[/tex]

Dividing between 4 on both sides of the equation:

[tex]x = \frac {36} {4}\\x = 9[/tex]

Then, a ticket costs $ 9.00

Answer:

Option C

Answer:

y=8

Step-by-step explanation:

[tex]y = - \frac{1}{3} ( - 6) + 6 \\ y = 8[/tex]

Answer:

[tex]\large\boxed{g(1)=2}[/tex]

Step-by-step explanation:

[tex]g(x)=x^2+1\\\\g(1)-\text{put x = 1 to the equation of the function}\\\\g(1)=1^1+1=1+1=2[/tex]

Answer:

0

Step-by-step explanation:

Final answer:

To find the output y for an input x of 6, assuming a linear relationship based on a derivative example provided, we use the equation y = 3x + 6. Substituting x with 6 gives us y = 24.

Explanation:

The question requires us to find the output y when the input x is 6. The equation provided in the excerpts can be interpreted in many ways due to lack of clarity in the given information. However, a linear function example is given by dy/dx = 6+3x, where the derivative suggests an initial value of 6 increasing by 3 with each unit increase in x. If we assume a linear relationship y = mx + b, we can use the pattern in the derivative example and set the slope m as 3 and the y-intercept b as 6. This yields the equation y = 3x + 6. When x is 6, the output y is calculated as y = 3(6) + 6 = 18 + 6 = 24.

Remember, the equation provided in the tutorial only applies if we assume a linear relationship based on the derivative example mentioned. It is important to have the exact equation or context to provide the precise output y.

Answer:

The solution of the equation 92x = 6 is x= 0.065

Step-by-step explanation:

We need to solve the equation 92x = 6 and find the value of x.

Given: 92x = 6

Divide both sides of the equation with 92

92x/92 = 6/92

x = 3/46

x = 0.065

So, the solution of the equation 92x = 6 is x= 0.065

Answer:

5

Step-by-step explanation:

By trial and error, we see that we can multiply by 3/2 every time to continue the sequence! So multiplying 10/3 by 3/2, we get 5. So 5 is the next term of the geometric sequence.

The larger number is 71 and the smaller number is 19.

Two equations can be derived from the question:

x + y = 90 equation 1

x = 14 + 3y equation 2

The larger number would be represented with x and the smaller number would be represented with y.

Substitute for x in equation 1

14 + 3y + y = 90

Add similar terms

14 + 4y = 90

Make y the subject of the formula

4y = 90 - 14

4y = 76

y = 76 / 4 = 19

Substitute for y in equation 1

x + 19 = 90

x = 90 - 19

x = 71

To learn more, please check: brainly.com/question/23589883?referrer=searchResults

The sum of numbers is the addition of the numbers.

The numbers are 19 and 71

Let the two numbers be x and y, where y is greater than x.

So, we have:

[tex]\mathbf{y = 3x + 14}[/tex]

The sum of the numbers is:

[tex]\mathbf{x +y = 90}[/tex]

Substitute [tex]\mathbf{y = 3x + 14}[/tex]

[tex]\mathbf{x +3x + 14 = 90}[/tex]

[tex]\mathbf{4x + 14 = 90}[/tex]

Subtract 14 from both sides

[tex]\mathbf{4x = 76}[/tex]

Divide both sides by 4

[tex]\mathbf{x = 19}[/tex]

Substitute [tex]\mathbf{x = 19}[/tex] in [tex]\mathbf{y = 3x + 14}[/tex]

[tex]\mathbf{y = 3(19) + 14}[/tex]

[tex]\mathbf{y = 71}[/tex]

Hence, the numbers are 19 and 71

Read more about sum of numbers at:

https://brainly.com/question/11670459

Answer:

see below

Step-by-step explanation:

3r=2

We know that r must be less than 1 because we are multiplying 3 by a number and getting 2

Taking a larger number and multiplying by r and getting a smaller number means the number must be less than 1

Divide each side by 3

3r/3 = 2/3

r = 2/3

2/3 is less than 1

Hello

Good Luck

Goodbye ♥

Answer:

Divide whole numbers

Divide the first digit of the dividend by the divisor. ...

Write the quotient above the dividend.

Multiply the quotient by the divisor and write the product under the dividend.

Subtract that product from the dividend.

Bring down the next digit of the dividend.

Step-by-step explanation:

brainliest please

Answer:

The statement is true.

Step-by-step explanation:

The statement is true.

This is true. Since they could be considered similar even when they are congruent, since in similar triangles, the measurements are proportional. In congruent triangles, this proportion is just one. or 1/1

Hope this helps!

Hey there! :)

3[-x + (2x + 1)] = x - 1

Simplify the parenthesis!

3[-x + 2x + 1]  =x - 1

Add like terms.

3[x + 1] = x - 1

Simplify!

3x + 3 = x - 1

Subtract 1x from both sides.

3x + 3 - 1x = x - 1 - 1x

Simplify.

2x + 3 = -1

Subtract 3 from both sides.

2x = -4

Divide both sides by 2.

2x ÷ 2 = -4 ÷ 2

Simplify.

x = -2

~Hope I helped! :)

Answer:

a=1, b=-6, c=2, d=1

Step-by-step explanation:

You are given the function

[tex]y=x^4+ax^3+bx^2+cx+d[/tex]

Find the derivative:

[tex]y'=4x^3+3ax^2+2bx+c[/tex]

The curve has a tangent line when x = 0 with equation y = 2x + 1, so

[tex]y'(0)=2\\ \\y(0)=1[/tex]

Hence,

[tex]y'(0)=4\cdot 0^3+3a\cdot 0^2+2b\cdot 0+c=2\Rightarrow c=2\\ \\y(0)=0^4+a\cdot 0^3+b\cdot 0^2+2\cdot 0+d=1\Rightarrow d=1[/tex]

The curve has a tangent line when x = 1 with equation y = -3x + 2, so

[tex]y'(1)=-3\\ \\y(1)=-3+2=-1[/tex]

So,

[tex]y'(1)=4\cdot 1^3+3a\cdot 1^2+2b\cdot 1+c=4+3a+2b+2=-3\Rightarrow 3a+2b=-9\\ \\y(1)=1^4+a\cdot 1^3+b\cdot 1^2+2\cdot 1+d=1+a+b+2+1=-1\Rightarrow a+b=-5[/tex]

From the second equation, a=-5-b, substitute it into the first one:

[tex]3(-5-b)+2b=-9\\ \\-15-3b+2b=-9\\ \\-b=-9+15\\ \\-b=6\\ \\b=-6\\ \\a=-5-b=-5-(-6)=-5+6=1[/tex]

Answer:

4/13

Step-by-step explanation:

6+3+4 =13

4/13

Answer:

4/13

Step-by-step explanation:

P( blackbeans) = number of cans of black beans

                           ----------------------------------------------

                           total cans

                   =   4

                      -------

                       ( 4+6+3)

              = 4

                 -----

                 13

Answer:

[tex]17x[/tex]

Step-by-step explanation:

[tex]8x + 9x = 17x[/tex]

To simplify the expression 8x + 9x, you combine the like terms by adding the coefficients. The result is 17x.

The process involved in simplifying an equation like this is known as combining like terms. In this example, the terms are 8x and 9x. Because they both contain the same variable, x, you can combine them.

To perform this operation, you add the coefficients (the numbers in front of the variable). In this case, the coefficients are 8 and 9. So, 8x + 9x simplifies to 17x.

Therefore, the simplified form of the equation 8x + 9x is 17x.

https://brainly.com/question/17359085

#SPJ2

Answer:

2x² - 16x + 30

Step-by-step explanation:

To evaluate (p ￮ q)(x)

Substitute x = q(x) into p(x)

2(x - 3)² - 4(x - 3)

= 2(x² - 6x + 9) - 4x + 12

= 2x² - 12x + 18 - 4x + 12

= 2x² - 16x + 30

Answer:

The equivalent ratio of (3m⁻²n)⁻³/6mn⁻² = m⁵/2n

Step-by-step explanation:

Points to remember

Identities

xᵃ * xᵇ = x⁽ᵃ ⁺ ᵇ⁾

xᵃ/xᵇ = x⁽ᵃ ⁻ ᵇ⁾

(xᵃ)ᵇ = xᵃᵇ

x⁻ᵃ = 1/xᵃ

To find the equivalent ratio of (3m⁻²n)⁻³/6mn⁻²

By using identities,

(3m⁻²n)⁻³ = 3m⁶n⁻³

(3m⁻²n)⁻³/6mn⁻² = 3m⁶n⁻³/6mn⁻²

 =  3m⁽⁶⁻¹⁾n⁽⁻³ ⁻ ⁻²⁾/6

 = m⁵n⁻¹/2

 = m⁵/2n

Therefore the equivalent ratio of (3m⁻²n)⁻³/6mn⁻² = m⁵/2n

Answer: A) arc CB = 120°

              C) <COB = 2(m<CAB)

              D) <COB = 120°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of its intercepted arc

⇆ The measure of an arc is twice the measure of its inscribed angle.

Thus, since <CAB = 60°, then arc CB = 120°   OPTION A

The measure of a central angle is congruent to its arc

⇆ The measure of an arc is congruent to the central angle.

Thus, since arc CB = 120°, then <COB = 120°  OPTION D

Since <COB = 120°, and <CAB = 60°,

then <COB = 2(m<CAB)  OPTION C

Answer: A. C. D.

Step-by-step explanation:

Got it right on edg

Answer:2

Step-by-step explanation:

the bars make the integers absolute value so it would be 10-8 when you drop the bars making the answer 2