20 points!!
Flynn is playing with a toy that is tied to his hand by a string. The toy falls toward the floor then rises back toward Flynn's hand, and repeats this motion, following the path illustrated by given graph.

The age of Kwaku is 8 years old , Esi is 13 years old and Kojo is 26 years old.

An equation is a statement that contains algebraic expressions equated by an equal sign with constants or other variables.

Let the age of Kwaku is x

Let the age of Esi is y

From the given data

The age of Kojo is 2y

y = x +5

Sum of their age = 47

2y = 2x +10

therefore the equation formed is

x + y +2y = 47

x + x+5 + 2x +10 = 47

4x +15 = 47

4x = 32

x = 8

y = 13

2y = 26

Therefore Kwaku is 8 years old , Esi is 13 years old and Kojo is 26 years old.

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Answer:

558, 500

Step-by-step explanation:

round 349,001 to 349,000             subtracted 1

round 209, 499 to 209, 500          added 1

349,000 + 209, 500 = 558, 500

Now, the added and subtract 1 cancel out so that is the final answer

Answer:

if 60 is 30%, then add up to 100%

60+60+60= 180

but we still have 10% left so divide 30% by 3 to get 10% then add

30% (or 60) /3 is 20

add 20 to 180

boom you get 200 she bought 200 oranges i wonder how shes gonna fit them in her car that's a lot of oranges

Answer:

200

Step-by-step explanation:

To calculate 30 percent of a number, we multiply the number by 30 and then divide by 100. Therefore, we can make the following function:

30 ∗ x÷100

 =  60  

To solve for x, we first multiply both sides by 100 and then divide both sides by 30 to get the x = 200. Therefore, the answer to 60 is 30 percent of what number? is:

200

Step-by-step explanation:

please mark me as brainlest

Answer:

$90

Step-by-step explanation:

Answer:

[tex]\sf x = \dfrac{\sqrt{19}+5}{3} \ ; \ x = \dfrac{-\sqrt{19}+5}{3}[/tex]

Step-by-step explanation:

(3x - 5)² = 19

To find the solution for the equation,  take square root on both sides.

    [tex]\sf 3x - 5 = \± \sqrt{19}\\\\ Add \ 5 \ to \ both \ sides \\\\ 3x = \±\sqrt{19} + 5\\\\ Divide \ both \sides \ by 3\\\\ x = \dfrac{\±\sqrt{19}+5}{3}\\\\x = \dfrac{\sqrt{19}+5}{3} \ ; \ x = \dfrac{-\sqrt{19}+5}{3}[/tex]

The first five terms of the geometric series is : -2, -6, -18, -54, -162.

Given :  [tex]a_{5} = -162[/tex]

[tex]a_{2} = -6[/tex]

We know G.P. series always increases in the form [tex]a.r^{n-1}[/tex]

Similarly, [tex]a_{5} = a.r^{5-1} = a.r^{4} = -162[/tex]

[tex]a_{2} = a.r^{2-1} = a.r = -6[/tex]

Now, [tex]\frac{a_{5} }{a_{2} } = \frac{a.r^{4} }{a.r^{1} } = r^{4-1}[/tex]

[tex]r^{3} = \frac{-162}{-6} = 27[/tex]

[tex]r = \sqrt[3]{27} = 3[/tex]

Now,

[tex]a_{2} = a.r = -6\\a.(3) = -6\\a = -2[/tex]

The first 5 terms are  :  [tex]a, a.r, a.r^{2} , a.r^{3} , a.r^{4}[/tex]

[tex]-2 , (-2).3 , (-2).3^{2} , (-2).3^{3} , (-2).3^{4}[/tex]

Therefore, The first 5 terms are  : -2, -6, -18, -54, -162.

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The scale factor from A to B is 5/3 and the value of r is 33/5

From the figure, we have the following corresponding sides

A : B = 5 : 3

Express as fraction

B/A = 3/5

This means that, the scale factor from A to B is 5/3

From the figure, we have the following corresponding sides

A : B = 11 : r

Express as fraction

B/A = r/11

Recall that:

B/A = 3/5

So, we have:

3/5 = r/11

Multiply by 11

r = 33/5

Hence, the value of r is 33/5

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Answer:

D & E

Step-by-step explanation:

The figures are parallelograms because their opposite sides are parallel

The figures are quadrilaterals because each had four sides

The two statements that must be true about the two congruent, shaded figures are:

The figures are parallelograms because their opposite sides are parallel.

The figures are rhombi because they are formed by four congruent line segments.

A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.

The fact that the figures are formed inside a rectangle does not necessarily mean that they are rectangles themselves.

Similarly, the fact that each figure has one pair of parallel sides does not necessarily make them trapezoids, as trapezoids have only one pair of parallel sides.

Finally, the fact that each figure has four sides does not necessarily make them quadrilaterals, as any closed shape with four sides can be considered a quadrilateral.

The two statements that must be true about the two congruent, shaded figures are:

The figures are parallelograms because their opposite sides are parallel.

The figures are rhombi because they are formed by four congruent line segments.

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Answer:

3n - 5

Step-by-step explanation:

f(n) = 3n - 5. Works for all of them

Using limits, it is found that the end behavior of the function is given as follows:

As x → -∞, f(x) → 4; as x → ∞, f(x) → 4.

The end behavior of a function f(x) is given by the limit of f(x) as x goes to infinity.

In this problem, the function is:

[tex]f(x) = \frac{8x - 1}{2x - 9}[/tex]

Considering that x goes to infinity, for the limits, we consider only the terms with the highest exponents in the numerator and denominator, hence:

Hence the correct statement is:

As x → -∞, f(x) → 4; as x → ∞, f(x) → 4.

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Answer:

D

Step-by-step explanation:

The possible values of x are 5 and -1/12

Given that 2x − 1∶ x − 4 = 16x + 1 ∶ 2x − 1 find the possible values of x

The ratio is given as:

2x − 1∶ x − 4 = 16x + 1 ∶ 2x − 1

Express as fraction

[tex]\frac{2x - 1}{x-4} = \frac{16x + 1}{2x -1}[/tex]

Cross multiply

4x^2 -4x + 1 = 16x^2 + x  -64x - 4

Collect like terms

-16x^2 + 4x^2 + 64x - x - 4x + 1 + 4 = 0

Evaluate the like terms

-12x^2 + 59x + 5 = 0

Divide through by -1

12x^2 - 59x - 5 = 0

Expand

12x^2  + x - 60x - 5 = 0

Factorize

x(12x + 1) - 5(12x + 1) = 0

Factor out 12x + 1

(x - 5)(12x + 1) = 0

Expand

x  - 5 = 0 or 12x + 1 = 0

Solve for x

x = 5 or x = -1/12

Hence, the possible values of x are 5 and -1/12

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Answer:

[tex]\huge\boxed{\sf f(a+2)=\frac{5+a}{a-1}}[/tex]

Step-by-step explanation:

[tex]\displaystyle f(x)=\frac{3+x}{x-3}[/tex]

Put x = a + 2

[tex]\displaystyle f(a+2)=\frac{3+a+2}{a+2-3} \\\\f(a+2)=\frac{5+a}{a-1} \\\\\rule[225]{225}{2}[/tex]

Answer:

????????????????????????????????????????/

Step-by-step explanation:

The cost of each bolt according to the task content is; 35c.

Since, there were 2500 bolts, it follows that there were 12500 nails.

The total cost of nail is therefore; 12500 × 5c. = 62500c = 625$.

Hence, the total cost of bolts is; 1500$ -625$ = $875 = 87,500c.

Consequently, the cost of each bolt is; 87,500c/2500 = 35c.

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Answer:

9

Step-by-step explanation:

√x+5-2=0

√x+3=0

√x= -3

x=9   [(-3)*(-3) = 9]

If there are 12 coins under the couch and every coin is either a nickel or a penny and together they are forming 32 cents then the equations which represent the problem will be x+y=12, 0.01x+0.05y=0.32. The correct option is B which is x+y=12, 0.01x+0.05y=0.32.

Given There are 12 coins and total money is 32 cents.

Let the number of pennies be x and the number of  nickels be y.

According to question there are 12 coins so the first equation becomes:

x+y=12.

Then we have been told that together they amount to 32 cents.

We know that 1 penny is 1 cent coin and 1 nickel is 5 cent coin so the equation becomes :

1*x+5*x=32

x+5y=32

converting into dollar

0.01x+0.05y=0.32.

Hence the right equations showing the problem of nickel and pennies are x+y=12, 0.01x+0.05y=0.32.

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if a + b is equal to 2 find the value of a cube plus b cube + 6ab

To me, Benjamin should use graph A to show the decrease in temperature. It would be best for Benjamin to use this graph for his presentation because the temperature decrease in this graph

The graphs that complete the question are added as an attachment

From the attached graph, we have the following highlights:

The above means that graph B is a misleading graph

Hence, Benjamin should use graph A for his report

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Answer:

286+390+468÷3= answer

Answer:

Step-by-step explanation:

Comment

The constant you want is just the reciprocal of the constant you have been given. You can show it this way

y = 11/2 z               Multiply both sides by 2

2y = 11z                 Divide both sides by 11

Answer

2/11 y = z

Answer:

let the remaining sides be X and Y

perimeter = X + Y + 13

24 = X + Y + 13

11 = X + Y ---(1).

Area = 1/2 * base * height

24 = 1/2 * X * Y

XY = 48.-----(2)

solving eq 1 and 2

X + Y = 11

XY = 48

Xy + y² = 11y

Xy = 48

y²= 11y - 48

y² -11y + 48 = 0

no real solution of this equation.

Answer:

Step-by-step explanation:

the triangle is NOT a 3–4–5 or multiple,

so it is not a right triangle or your data is wrong.

The translation of the parabola from y = (x – 5)² + 5 to y = (x − 0)² + 0 will be (-5, -5). Then the correct option is B.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

where a is the leading coefficient.

The translation of the parabola is given below.

y = (x – 5)² + 5 → y = (x − 0)² + 0

Then the translation will be (-5, -5).

Then the correct option is B.

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Answer:

23

Step-by-step explanation:

area of a trapezoid = 1/2 × (a + b) × h

so, we have

96 = 1/2 × ((4x - 1) + (x + 3)) × 6 = (5x + 2) × 3

32 = 5x + 2

30 = 5x

x = 6

a = 4x - 1 = 4×6 - 1 = 24 - 1 = 23

Answer: [tex]x(x-6)=0[/tex]

Answer:

The last figure.

Answer:

Figure 1, 3 and 6

Point symmetry is when two figures or (equal) parts of a figure lies at a same distance but in opposite direction from a certain point.

Answer:

-5=m

Step-by-step explanation:

-3/4m-1/2=2+1/4m

-2/4m-1/2=2

-2/4m=2 1/2

m=-5

Using sampling concepts, it is found that the 33,043 infants represent the sample.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, all infants represent the population, while 33,043 infants represent the sample.

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The measure of the fourth interior angle of the quadrilateral will be 68°.

Angles in a quadrilateral are the four angles that occur at each vertex within a four-sided shape, these angles are called interior angles of a quadrilateral. The measure of interior angles of a quadrilateral always sums up to 360°.

Let the measure of the fourth interior angle be x.

x + 55° + 117° + 120° = 360°

x + 292° = 360°

x = 68°

Hence, the fourth interior angle will be 68°.

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Answer:68

Step-by-step explanation:

I got it right on e2020