13 Here is information about the age, in years, of each of Jelina's five children when written
in order
a
b
b/2+ a
2b + a +3
2b + a +5

It is given that
a is the age of the youngest child
a≠b
two of the children have the same age
the mean age of the five children is 10.6
Calculate the value of a and the value of b
Show clear algebraic working.

Answer:

7.039, 7.39, 7.3952, 7.5

Step-by-step explanation:

Answer:

B. y= -4x + 28

Step-by-step explanation:

To find the equation of this line first put it into slope-point form, [tex]y-y_{1} =m(x-x_{1})[/tex] where [tex]y_{1}[/tex] and [tex]x_{1}[/tex] are the y and x coordinates and m is the slope. So plug in the information to get the equation, y-8=-4(x-5). Then solve for y,

First, distribute the -4

y-8=-4x+20

Next, add 8 to both sides

y=-4x+28

Answer:

I believe she would be 10 then

Step-by-step explanation:

I hope this helps. If it does please mark me the brainliest!

Peace and Love !!!!!!!

Answer:

14 years old

Step-by-step explanation:

Make an equation based on the info given, letting x stand for the daughter's age. Then solve the equation:

48 = 6 + 3x

*subtracting 6 from both sides*

42 = 3x

*dividing both sides by 3*

14 = x

Answer:

6/8 or 9/12

Step-by-step explanation:

Answer:

The equivalent fraction is 6/8

Answer:

Part A:

c = 1.15p

c(2) = $2.30

Part B:

c = 0.90p

Part B:

Step-by-step explanation:

Linear Models

Candy's Sweets Company charges $1.15 per pound to ship candy.  This represents a proportional relationship between the pounds of candy and the cost.

Part A: If each pound costs $1.15, then p pounds cost $1.15p. Then the equation of the cost c is:

c = 1.15p

The cost of shipping p=2 pounds of candy is:

c = 1.15*2 = 2.30

c = $2.30

Part B: When the company reduces the cost by $0.25 per pound, the new unit cost is $1.15 - $0.25 = $0.90 per pound.

The new equation to determine the total cost for p pounds of candy is:

c = 0.90p

Answer:

a, b, c, or d

Step-by-step explanation:

one of them

Answer:

0.14secs

Step-by-step explanation:

Given the equation that models the height expressed as;

h(t)=-4.9t^2-v_0 t+h_0

Given v0 = 12m/s

h0 = 1.8m

The equation becomes

h(t)=-4.9t^2-12t+1.8

The height of the ball on the ground level is zero

Substituting into the equation

0 = -4.9t^2-12t+1.8

Multiply through by -10

49t²+120t-18 = 0

Factorize and get t:

t = -120±√120²-4(49)(-18)/2(49)

t = -120±√14400+ 3528/98

t = -120±√17928/98

t = -120±133.89/98

t = 13.89/98

t = 0.14secs

Hence it takes 0.14secs until it reaches the ground

Answer:

this is too smart for mehrhdhd

Answer:

x = 4y + 6

Step-by-step explanation:

x-4y=6

2x-8y=12

multiply 2 on both side in equation 1, and multiple - on both side in equation 2:

2x-4x=12

-2x+8y=-12

so the equation becomes:

4y=0

y=0

put the value of y in both of the equations:

x=6 equation 1

x=6 equation 2

so,

x = x

then,

x = 4y + 6 equation 1

-2 ( x - 4y ) = -12

x - 4y = -12/ -2

x - 4y = 6

x = 4y + 6

so the ans is:

x = 4y +6

The time taken to grow to $8000 is 17 years and 4 months.

The formula used to find the time compounded continuously.

t = ln(A/P) / r

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

P = $4000

A = $8000

r = 4%

The formula used:

t = ln(A/P) / r

t = ln(8,000/4,000) / 0.04

t = 17.329 years

This means,

= 17 years 4 months

Thus,

The time taken to grow to $8000 is 17 years 4 months.

Learn more about compound interest here:

https://brainly.com/question/13155407

#SPJ2

Answer:

The gradient of the straight line that passes through (2, 6) and (6, 12) is [tex]m = \frac{3}{2}[/tex].

Step-by-step explanation:

Mathematically speaking, lines are represented by following first-order polynomials of the form:

[tex]y = b + m\cdot x[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]m[/tex] - Slope.

[tex]b[/tex] - Intercept.

The gradient of the function is represented by the first derivative of the function:

[tex]y' = m[/tex]

Then, we conclude that the gradient of the staight line is the slope. According to Euclidean Geometry, a line can be form after knowing the locations of two distinct points on plane. By definition of secant line, we calculate the slope:

[tex]m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)

Where:

[tex]x_{A}[/tex], [tex]y_{A}[/tex] - Coordinates of point A.

[tex]x_{B}[/tex], [tex]y_{B}[/tex] - Coordinates of point B.

If we know that [tex]A(x,y) = (2,6)[/tex] and [tex]B(x,y) = (6,12)[/tex], then the gradient of the straight line is:

[tex]m = \frac{12-6}{6-2}[/tex]

[tex]m = \frac{6}{4}[/tex]

[tex]m = \frac{3}{2}[/tex]

The gradient of the straight line that passes through (2, 6) and (6, 12) is [tex]m = \frac{3}{2}[/tex].

Answer:

It HAS to be ALL OF THE ABOVE, for me.

Step-by-step explanation:

Answer:

Yes the answer is D ) all of the above :)

Step-by-step explanation:

Answer:

D. y <-x - 3

Step-by-step explanation:

-3x + 2y > 5y + 9

Subtract 2y from 5y on the other side

5y - 2y = 3y

-3x > 3y + 9

Add 3x and put it the other side

0 > 3x + 3y + 9

Subtract 3y and put it on the other side

0 - 3y = -3y

-3y > 3x + 9

Divide by -3 on both sides

-3y/-3 > 3x + 9/-3

-3y/-3 = y

3x + 9/-3 = -x - 3

y > -x - 3

MOST IMPORTANT STEP OF ALL: Switch the inequality sign around because you divided with a negative number which is -3. That's a rule in inequality.

y < -x - 3

So your final answer is y < -x - 3

Answer:

i want baloney

Step-by-step explanation:

hihihihihihihihihihiui I'm carole baskin hihihihihi

Answer:

4

Step-by-step explanation:

8/3x=4+5/3x

8/3-5/3x=4

x=4

Answer:

[tex]=\frac{2x^3+x^2-11x+14}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]

Step-by-step explanation:

Step 1: Factor [tex]x² + 2x - 8: (x - 2) (x + 4)[/tex]

[tex]=\frac{x}{x+4}+\frac{x-1}{x+2}+\frac{3}{\left(x-2\right)\left(x+4\right)}[/tex]

Step 2: Find the Least Common Multiplier of  [tex]x + 4, x - 2, (x + 4), (x - 2)[/tex]

= [tex](x + 4) (x + 2) (x - 2)[/tex]

Step 3a: Conform the fractions based on the LCM (Least Common Multiplier)

= [tex]\frac{x\left(x+2\right)\left(x-2\right)}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}+\frac{\left(x-1\right)\left(x+4\right)\left(x-2\right)}{\left(x+2\right)\left(x+4\right)\left(x-2\right)}+\frac{3\left(x+2\right)}{\left(x-2\right)\left(x+4\right)\left(x+2\right)}[/tex]

Step 3b: The denominators are equal, so combine the fractions.

[tex]=\frac{x\left(x+2\right)\left(x-2\right)+\left(x-1\right)\left(x+4\right)\left(x-2\right)+3\left(x+2\right)}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]

Step 4: Expand [tex]x(x + 2)(x - 2) +(x-1)(x+4)(x-2) + 3(x-2)[/tex]

[tex]=\frac{2x^3+x^2-11x+14}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]

Have a great day!

Answer:

$70

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

43+27=70

Answer:

X=6.195

Attached please find equation.

Step-by-step explanation:

Let 1+i∗=(1+i)4 so that the calculation using annuity

Answer:

150 m

Step-by-step explanation:

Total distance walked

= perimeter of the garden

= 42 + 42 + length of arc

[tex] = 84 + \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ = 84 + \frac{90 \degree}{360 \degree} \times 2 \times \frac{22}{7} \times 42 \\ \\ = 84 + \frac{1}{4} \times 44 \times 6 \\ \\ = 84 + 11 \times 6 \\ \\ = 84 + 66 \\ \\ = 150 \: m[/tex]

Answer:

The surface area of this cylinder is 3545[tex]\frac{1}{7}[/tex] cm²

Step-by-step explanation:

The formula of the surface area of the cylinder is

Let us use the rules above to solve the question

∵ The base of the cylinder is a circle

∵ The perimeter of the circle = 2 π r

∵ The radius of the cylinder is 12 cm

∴ r = 12

∴ The perimeter of the base = 2 (12) (π)

∴ The perimeter of the base = 24π cm

∵ The height of the cylinder is 35 cm

∴ h = 35 cm

→ By using the rule of the lateral area above

∵ The lateral area = 24π × 35

∵ π = [tex]\frac{22}{7}[/tex]

∴ The lateral area = 24 × [tex]\frac{22}{7}[/tex] × 35

∴ The lateral area = 2640 cm²

∵ The area of the circle = π r²

∴ The area of the base = [tex]\frac{22}{7}[/tex] × (12)² = [tex]\frac{22}{7}[/tex] (144) = 452[tex]\frac{4}{7}[/tex] cm²

→ By using the rule of the surface area above

∴ The surface area = 2640 + 2(452[tex]\frac{4}{7}[/tex]) = 3545[tex]\frac{1}{7}[/tex] cm²

∴ The surface area of this cylinder is 3545[tex]\frac{1}{7}[/tex] cm²

Answer:

Step-by-step explanation:

Given

To find

Solution

Second option is correct (you have selected it right)

Answer:

d. x > 6

Step-by-step explanation:

Answer:

(a) 83% of the scores were at or below her score.

(b) 17% was above her score.

Step-by-step explanation:

Given that:

Percentile score of Angela in the general aptitude test = 83rd percentile

To find:

a) Percentage of scores which were at or below her score?

b) Percentage of score which were above her score?

Solution:

First of all, let us learn about the term "Percentile"

Percentile is the value below which the certain percent of people/marks fall.

Therefore, when we say percentile of someone's score is [tex]x[/tex], then there are [tex]x\%[/tex] of scores are at the same level or below.

And [tex](100-x)\%[/tex] of the scores are above this level.

Therefore, we can say that:

83% of the scores were at the same level or below the score of Angela.

And [tex](100-83)\% = 17\%[/tex] of the scores were above the score of Angela.

Answer:

4{(9-2)^2}

[tex] {(9 - 4)}^{2} \times (4) \times (9 - 4 - 2)[/tex]

Answer:

(4, 5/3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

x + 3y = 9

2x - 3y = 3

Step 2: Solve for x

Elimination

Step 3: Solve for y

Step 4: Graph Systems

Check the solution set.

Answer: Part A An equivalent expression of 4(a + 12) + 5(8) is 4a + 4(12) + 5(8)

or 4a + 48 + 40

Part B:  using 15 in place of a,  the Rodriguez family spent $148 on tickets.

Step-by-step explanation: We can use the distributive property to create equivalent expressions.

Part B:  Substitute 15 in place of a and do the calculations

4(15 + 12) + 5(8)

60 + 48 + 40

148

Answer:

C. [tex] \frac{h}{j} = \frac{k}{i} [/tex]

Step-by-step explanation:

Given that [tex] \overline{TU} [/tex] is parallel to [tex] \overline{QR} [/tex], therefore:

[tex] \frac{ST}{TQ} = \frac{SU}{UR} [/tex]

ST = h

TQ = j

SU = k

UR = i

Therefore substituting these into the equation, we have:

[tex] \frac{h}{j} = \frac{k}{i} [/tex]

Answer:

Mapping A

Step-by-step explanation:

To clarify this, the first box in each mapping has to go to only one number to resemble a function.  Function A works because each number is going to another number once while Function B doesn't work because of the number 2 going into two numbers.