What’s the probability tree?

Answer:

x=4, y=11

Step-by-step explanation:

y = -2x + 19

y = x + 7

Since both equations are equal to y, we can set them equal to each other

-2x + 19= x + 7

Add 2x to each side

-2x + 19+2x= x + 7+2x

19 = 3x+7

Subtract 7 from each side

19-7 = 3x+7-7

12 = 3x

Divide by 3

12/3 = 3x/3

4=x

Now find y

y=x+7

y = 4+7

y=11

Answer:

x = 4

y = 11

Step-by-step explanation:

y = -2x + 19

y = x + 7

Put y as x + 7 in the first equation and solve for x.

x + 7 = -2x + 19

Add 2x and -7 on both sides.

x + 7 + 2x - 7 = -2x + 19 + 2x - 7

x + 2x = 19 - 7

Combine like terms.

3x = 12

Divide both sides by 3.

3x/3 = 12/3

x = 4

Put x as 4 in the second equation and solve for y.

y = 4 + 7

y = 11

Answer:

48 sec.

Step-by-step explanation:

8 devided by 10.

Answer:

48 seconds

Step-by-step explanation:

8 min / 10 laps = 0.8 mins

to convert minutes into seconds, multiply by 60

0.8*60 = 48 seconds

The percentile of Tomijia's scores is her score as a percentage

If Tomijia received an 89 on the test, she is in the 70th percentile

The score of the tests are given as:

42, 44, 56, 71, 74, 83, 89, 90, 90, 92

From the above list of scores, the score 89 is at the 7th position.

So, we have:

Tomijia = 7/10

Express as percentage

Tomijia = 70%

Hence, if Tomijia received an 89 on the test, she is in the 70th percentile

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If two figures can be mapped onto one another or if all pairings of angles and side lengths are congruent, the figures are said to be congruent.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

If two triangles are the same size and shape, they are said to be congruent. To establish that two triangles are congruent, not all six matching elements of either triangle must be located. There are five requirements for two triangles to be congruent, according to studies and trials. The congruence properties are SSS, SAS, ASA, AAS, and RHS.

here, we have,

Both triangles are said to be congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle.

In Δ PQR and ΔXYZ, as shown in figure,

we can identify that PQ = XY, PR = XZ,

and QR = YZ

and ∠P = ∠X,

∠Q = ∠Y and ∠R = ∠Z.

Then we can say that Δ PQR ≅ ΔXYZ.

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If the radius is 3 cm, the height of the cylinder is approximately 7.06 cm, which is closest to option B, 7 cm. The correct option is B.

The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.

We are given that the volume of the cylinder is 637 cm³ and the radius is 3 cm. Substituting these values into the formula, we get:

637 = π(3²)h

Simplifying:

637 = 9πh

h = 637 / (9π)

h ≈ 7.06

Thus, the height of the cylinder is approximately 7.06 cm, which is closest to option B, 7 cm.

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The APY for money invested at an annual rate of 4.31% compounded quarterly is 4.41%

percentage, a relative value indicating hundredth parts of any quantity.

We first need to calculate the effective annual interest rate (EAR) using the formula:

EAR = (1 + (APR/n))ⁿ - 1

where APR is the annual percentage rate,

n is the number of compounding periods per year

Given APR = 4.3%,

n = 12

EAR = (1 + (0.043/12))¹² - 1

= 0.0442

APY = 4.42512%

Similarly let us find the APY for money invested at an annual rate of 4.31% compounded quarterly,

we use the same formula, but with n = 4

EAR = (1 + (0.0431/4))⁴ - 1

= 4.41027%

Hence, the APY for money invested at an annual rate of 4.31% compounded quarterly is 4.41027%

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he two numbers that multiply to -35 and add to get -18 are -5 and 3.

To see why, you can use the factoring method. First, find two numbers that multiply to give you -35. The factors of -35 are -1, 1, -5, and 5. So, the two numbers that multiply to -35 are either -5 and 7 or 5 and -7.

Next, find which pair of numbers adds up to -18. It's clear that 5 and -7 add up to -2, so they don't work. However, if we choose -5 and 3, we get:

-5 + 3 = -2

So, -5 and 3 are the two numbers that multiply to -35 and add to -18.

Answer: 33

Step-by-step explanation: In the problem, you are given the figure with the following:

2x+3 and 3x+12

Method: Lets set this into an equation. Remember that straight lines add up to 180°.

2x+3+3x+12=180°    Combine like terms.

5x+15=180°

5x=165°

x=33°

You can always plug in 33° in the expression that was set to make sure it does give you 180°.

Hope this helps.

Answer:

33

Step-by-step explanation:

Answer: The answer for this question is "A": 5 + 15h

Answer:

2 - 2 cos²x = sin x

2 = sin x + 2 cos² x

0 = -2 + sin x + 2(1 - sin² x)

0 = -2 sin² x + sin x + 2 - 2

0 = 2 sin² x - sin x 0 = sin x (2 sin x - 1)

sin x = 0 v sin x = 0.5

x10° + k.360° x1 = 0°, 360°

x2 = (180° - 0°) + k.360°

x2 = 180°

x3 = 30° + k.360°

x3 = 30°

x4 = (180° -30°) + k.360° x4 = 150°

HP: {x | 0°, 30°, 150°, 180°, 360°)

Answer:

Total distance traveled= 21h miles

Step-by-step explanation:

You biked at 10 mph for h hours

Speed= 10 mpg

Time = h hours

Distance covered= speed*time

Distance covered= 10h miles

walked at 3mph for twice as long as I biked,

Speed= 3 mph

Time= twice as long as biked

Time= 2(h) hours

Distance= 2h*3

Distance= 6h miles

ran at 10mph for one quarter as long as I walked

Speed= 10 mph

Time= 1/4 of(2h)

Time= 1/2h hours

Distance= 1/2h*10

Distance= 5h miles

Total distance traveled

= 10h miles +6h miles+ 5h miles

Total distance traveled= 21h miles

Answer:

D

Step-by-step explanation:

Answer:

0.02 × 100 = 2

Step-by-step explanation:

move the decimal 2 steps backward according to the numbers of zeros behind the multiplier(100).

0.02 × 100 = 2

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Therefore , the solution of the given problem of expression comes out to be its final simplification is 5ln4y - 2lnx.

There is a need for mathematical operations such addition, multiplication, multiplication, and division. When variable combined, they produce the following: A mathematical operator, some data, and an equation A statement of fact is composed of values, parameters, plus operations like additions, subtractions, multiplications, and divisions. It is possible to contrast and compare various sentences and words.

Here,

Given :

To expand the given expression :

=> ln [ (4y)⁵/ x² ]  

=> ln [ (4y)⁵/ x² ]  

=> ln(4y)⁵ - lnx²

=> 5ln4y - 2lnx

Thus,

its final simplification is : 5ln4y - 2lnx.

Therefore , the solution of the given problem of expression comes out to be its final simplification is 5ln4y - 2lnx.

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Answer:

Greatest Common Factor of 40+24 is 8

Rewriting the expression using the distributive property we get             8(5+3) =8(5)+8(3)

Step-by-step explanation:

We need to F=find the greatest common factor of the two numbers 40+24 and rewrite the expression using the distributive property

The greatest number that is divisible by both numbers is known as greatest common factor.

So, Greatest Common Factor of 40+24 is 8

Now, Taking 8 common we get: 8(5+3)

It is written as: a(b+c) = ab+ac

So, we have 8(5+3) =8(5)+8(3)

Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)

Answer:

A

Step-by-step explanation:

To express 4/5 as a decimal, you divide 4 by 5. Here is long division image at the bottom. You can just input it into a calculator (4 divdie 5) or notice that 4/5 = 8/10 = 0.8.

I hope this helps!

The travelled distance of the traveller is equal to 195 kilometers.

According to the statement of the problem, a traveller already walked a third part of his trail and if he travels the half of his trail, then the half of his trail shall be covered. Mathematically, the travelled distance shall be described by following expression:

x = d / 3

x + 65 = d / 2

Where:

Now we proceed to determine the travelled distance:

d / 3 + 65 = d / 2

d / 2 - d / 3 = 65

3 · d - d = 390

2 · d = 390

d = 195

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Answer: (3,1)

Step-by-step explanation: Use the midpoint formula

Answer:

9 slices per cake

36 divided by 4 = 9

Step-by-step explanation:

Answer:

9 slices of cake per each cake

Answer: 0 is a imaginary number

Step-by-step explanation:

Answer:

$0.45 or 45 cents

Step-by-step explanation:

Let x = carton of milk

     y = sandwich

2x + y = 3

2y = 4.2

Let's use the substitution method to solve this

First, divide both sides by 2 in the second equation

2y/2 = 4.2/2

y = 2.1

Substitute the new y into the first equation

2x + 2.1 = 3

Now subtract 2.1 from both sides

2x + 2.1 = 3

     - 2.1   - 2.1

2x = 0.9

Divide both sides by 2 to isolate the x variable

2x/2 = 0.9/2

x = 0.45

y≤−5x−10 and y>x+2 The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

To graphically solve this system of linear inequalities, we can start by graphing each inequality on the same coordinate system:

First, let's graph the inequality y ≤ -5x - 10. We can start by graphing the line y = -5x - 10, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,-10), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y ≤ -5x - 10. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y ≤ -5x - 10 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 ≤ -5(0) - 10

0 ≤ -10

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, let's graph the inequality y > x + 2. We can start by graphing the line y = x + 2, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,2), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y > x + 2. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y > x + 2 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 > 0 + 2

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, we can shade the region that satisfies both inequalities. The shaded region is the region that is below the line y = -5x - 10 (including the line itself) and above the line y = x + 2 (excluding the line itself).

The shaded region is shown below:

Graph of y≤−5x−10 and y>x+2

The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

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Answer:

15 parts must be shaded

Step-by-step explanation:

3/5 × 25 = 15

15/25 = 3/5

Have a great day.

15 parts must be shaded in order to cover three fifths of the rectangle.

"A rectangle has two pairs of equal opposite parallel sides, four right angles and two diagonals. The diagonals of a rectangle are congruent.

They also bisect each other. Each diagonal divides the rectangle into two congruent right triangles."

Given

A rectangle is divided into 25 equal parts.

Number of parts must be shaded in order to cover three fifths of the rectangle

= \(\frac{3}{5}\) × \(25\)

= 15

Checking whether the 15 parts must be shaded in order to cover three fifths of the rectangle

= \(\frac{15}{25}\)

= \(\frac{3}{5}\)

Hence, 15 parts must be shaded in order to cover three fifths of the rectangle.

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Answer: The best problem solving strategy to solve this problem with is a formula. Additionally Brandon had $12.50 before going to the store.

Step-by-step explanation: Formula and Solving it

He Spent $2.50 on pencils.

Amount left after buying a pencil = x - 2.50

Next, he spent half of the amount left in his pocket.

He spent (x - 2.50)/2 on notebook and paper.

So the total amount he spent = 2.50 + (x -2.50)/2

Amount left when he got home =$ 5.00

That means, x - Total amount spent = 5

=> x - (2.50 + (x -2.50)/2 ) = 5

=> x - 2.50 -x/2 + 2.50/2 = 5

=> x/2 - 2.50/2 = 5

=> x/2 = 5 + 2.50/2

=> x/2 = 6.25

=>x = $12.5

Answer:

4:7

Step-by-step explanation:

The word ACCOMPLISHMENT has 4 vowels (A, O, I, and E), which is where I got the four. It also has 7 consonants (C, C, M, P, L, S, H, M, N, T). Hence where the 7 was found.

Answer:

\(\fbox{length= 10 \: in}

\)

Step-by-step explanation:

Given:

Length to Width Ratio = 2:3

Area of Rectangle= 150 in²

To find:

Length of rectangle=?

Solution:

Assume the length of rectangle is 2x

and the width of rectangle is 3x

Now,

we know that,

\(\sf\: Area \: of \: Rectangle = Length \times Width \\ \sf \: 150 = 2x \: \times 3x \\ \sf \: 150 =6 {x}^{2} \\ \sf \: {x}^{2} = \frac{150}{6} \\ \sf {x}^{2} = \cancel\frac{150}{6} \\\sf {x}^{2} = 25 \\\sf \sqrt{ {x}^{2} } = \sqrt{ {25} } \\ \sf \sqrt{ {x}^{2} } = \sqrt{ {5}^{2} } \\ \sf \: \fbox{x = 5 \: in}\)

Substituting the value of x in assumption,

\( \sf \: length= 2x \\ \sf \: length= 2 \times 5 \\ \sf \: \fbox{length= 10 \: in}

\)

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Answer:

Distance covered by Sean

= 540-x-y inches

Distance covered by Hannah =x

Step-by-step explanation:

Sean and Hannah are 540 inches apart and begin walking towards each other. Sean walks 2.6 times as fast as Hannah

Distance covered by Hannah =x

Distance between sean and Hannah= y

Distance covered by Sean= 540-x-y

Sean speed= (540-x-y)/t

Hannah speed= x/t

(540-x-y)/t /(x/t )= 2.6

(540-x-y)/x = 2.6

(540-x-y)= 2.6x

540 = 3.6x +y ...

Answer:

826×3569=2947994 ans

( 2x + 11 ) ( 2x - 11 ) is factor of linear equation .

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

                                      A linear equation with one variable is one that contains just one variable. It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value.

= 4x² - 121

= (2x)² - ( 11 )²

= ( 2x + 11 ) ( 2x - 11 )

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