7. Sylvia went on a trip. The number of shirts she packed was 2 fewer than twice the number of pants
she packed. The total number of pairs of pants and shirts was 16.
A. Let x the number of pants she packed and let y = the number of shirts she packed. Write a system of
equations to represent the problem.
B. Solve the system of equations using substitution to find the number of shirts and pairs of pants Sylvia
brought.

The length of line having mid point B ⇒  7x - 2.

Given that,

B is the mid point of AC

And also given that

length of segment AB = 2x+5

And length of segment BC = 5x - 7

A straight path established by linking a group of points in a plane is known as a line. It is a one-dimensional form with only a length and no width or height. A line can extend indefinitely in both ends in opposite directions. To indicate a line, we can use upper case characters.

Now since B is the mid point of AC,

So, The line AC is sum of the line segment AB and line segment BC.

Therefore,

AC = AB+BC

     = (2x+5)+(5x - 7)

     = 7x - 2

Hence,

The length of AC is 7x - 2

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Answer:

-50

Step-by-step explanation:

If the drink is descending by 50 feet, hypothetically I would say that the drinks at 0 ft. so it would be -50

Answer:

-50

Step-by-step explanation:

Drink descended 50 fifty feet, "descended" in this case means subtraction or negative

Answer:

Yes

Step-by-step explanation:

Some examples:

1. Bowling balls

2. Basketball balls

3. Volleyball balls

4. Tennis balls

Answer: 396

Step-by-step explanation:

length- x+4

width - x

perimeter = 40

40 = x+4+x

40-4=2x

36=2x

x=18

length - 18+4=22

width - 18

area = 22*18 = 396

Answer:

x =23

Step-by-step explanation:

ok first, the full degree of a straight line is 180°

subtract 38° out of 180°

180-38= 142

so 6x+4= 142°

subtract 4 from both sides of the equation

6x +4 -4= 142-4

6x=138

divide 6 from 6x and 138

x=23

Answer:

so here we minus 5 from 255 to get to 250 and we do it again to get to 245. for reaching the 40th term we should do it 39 times.

so, 255+ (-5) (39) = 255 - 195 = 60

which is our 40th term.

The 40th term of  (255, 250, 245...) is 60.

Calculations :

The formula to find the nth term = \(a_{n}\)  =  -5n + 260

                                                      = \(a_{40}\) x 5n = 260

                                                      = 260 - 200 = 60

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11 x 7 + 11 x 4 is the expression of the total area as the sum of the areas of

each room.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

11 (7 + 4)

Using the property of multiplication over addition.

11 x 7 + 11 x 4

Thus,

11 x 7 + 11 x 4.

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Answer:

the answer is 6

Step-by-step explanation:

I hope I helped, if you have questions let me know. I'll try to answer.

Answer:

$0.21 per ounce (rounded to nearest cent)  

Step-by-step explanation:

8 ounces --- $1.69

1 ounce --- \(\frac{1}{8}\) × $1.69 = $0.21 (rounded to nearest cent)

Question:

What is the Unit Price per ounce?​

Answer:

If 8 ounces cost $1.69, then 1 ounce costs $1.69/8 = $0.21125, which is 21.125 cents, which rounds to 21.1 cents (because 2 is less than 5)

Answer:

m<wzx = 71

Step-by-step explanation:

Assuming these are interior angles of a triangle.

The sum of all three interior angles of a triangle is always 180 degrees, therefore:

m<xyz + m<wxz + m<wzx = 180

Substitute our values:

58 + 51 + m<wzx = 180

m<wzx = 180 - 58 - 51

m<wzx = 71

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:

1500X100÷2400=62,5 donc ≈62%

Answer:

Step-by-step explanation:

To find the slope of the line represented by the equation 5x-4y=3(x+3), we can rearrange the equation into slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

5x - 4y = 3(x + 3)

5x - 4y = 3x + 9

5x - 3x = 4y + 9

2x = 4y + 9

y = (2/4)x - 9/4

So, the slope of the line is 2/4, which can be simplified to 1/2.

To find the y-intercept, we can set x = 0 in the equation:

y = (1/2)(0) - 9/4

y = -9/4

Therefore, the y-intercept is -9/4.

To find the x-intercept, we can set y = 0 in the equation:

0 = (1/2)x - 9/4

9/4 = (1/2)x

x = (9/4) / (1/2)

x = 9/2

Therefore, the x-intercept is 9/2.

Answer:

Slope: -1/2 Y-Intercept: -9/4

Step-by-step explanation:

5x - 4y = 3x + 9

Subtract 3x from both sides

2x - 4y = 9

Divide both sides by -4

y = (-1/2)x + (-9/4)

Using the Empirical Rule, it is found that the correct statements are given by:

It states that, for a normally distributed random variable:

We also have to consider that the normal distribution is symmetric. Then, alog with the mean of 88 and standard deviation of 1.5, the correct statements are given by:

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Answer:

Step-by-step explanation:

Fill in the correct values in the statements.

About 68% of the observations will fall within

⇒ 1.5 points of the mean of

⇒ 88 points.

About

⇒ 95% of the observations will fall within 3 points of the mean.

About 99.7% of the observations will fall within

⇒ 4.5 points of the mean.

The fact that and allows you to conclude that the system is consistent because if two vectors are equal, then their components must be equal.

Since and , we can set up the following linear system of equations:

Ax = b

where A is the matrix and x and b are the vectors. Since we know that and , then the system of equations is consistent. This is because if two vectors are equal, then their components must be equal. Therefore, if and , then

a1x1 + a2x2 = b1

a3x1 + a4x2 = b2

Since the two vectors are equal, then the components must be equal as well, so

a1x1 + a2x2 = a3x1 + a4x2

which can be rearranged to

(a1 - a3)x1 + (a2 - a4)x2 = b1 - b2

Since b1 - b2 is a constant, then the coefficient of x1 and x2 must both be 0, meaning that the system is consistent.

The fact that and allows you to conclude that the system is consistent because if two vectors are equal, then their components must be equal. This means that if and , then we can rearrange the system of equations to get (a1 - a3)x1 + (a2 - a4)x2 = b1 - b2, which implies that the coefficients of x1 and x2 must both be 0, meaning that the system is consistent.

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Answer:

1 is hard

Step-by-step explanation:

Yes, the triangles ∆ ABD and ∆ ACD are congruent by the ASA (Angle Side Angle) Congruence Rule.

Given,  ∆ ABD and ∆ ACD are two triangles

we have to find that if the triangles are congruent or not.

In  ∆ ABD and ∆ ACD,

∠BAD = ∠CAD (Given)

AD = AD (Common)

∠BDA = ∠CDA (Given)

So, by ASA Congruence Theorem both the triangles  ∆ ABD and ∆ ACD are congruent.

Therefore,  ∆ ABD ≅ ∆ ACD (By ASA Rule)

Hence, Yes, the triangles ∆ ABD and ∆ ACD are congruent by the ASA (Angle Side Angle) Congruence Rule.

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Answer:

23. Similar as well as congruent triangle

25. Conguent triangle

Step-by-step explanation:

Answers:

23. Not enough information

25. Congruent (by the HL theorem)

HL = hypotenuse leg

=============================================

Explanation for problem 23.

Check out figure 1 shown below.

I have marked the given diagram with light blue and light pink to show which angles are congruent.

Because lines UN and TC are parallel, we know the following alternate interior pairs are congruent.

Therefore, we can establish one link of paired congruent angles of the triangles LNU and TCH. However, we cannot determine any other angle pairings. Why not? Because we don't know if segment UL is parallel to segment TH. If they were parallel, then we could establish something like angle LUN = angle CHT as one alternate interior pairing.

But again, we don't know if UL is parallel to TH. The arrow markers aren't shown for these segments.

Therefore, we simply don't have enough information to determine if the triangles are similar or congruent.

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

Explanation for problem 25.

Luckily this problem will provide sufficient info to prove the triangles KSR and ISR are congruent.

We start with the given info that KR = SI due to the identical tickmarks. This represents one node in the flowchart (see figure 2).

Another node is angle RKS = angle RIS because both are right angles, aka 90 degree angles.

A third node is SR = SR because of the reflexive property.

Those three nodes then feed into the final conclusion node that triangle KSR = triangle ISR. The reasoning is "HL theorem" where HL = hypotenuse leg. This theorem works for right triangles only.

Take note how I structured the proof so that it flows from top to bottom. The three nodes side by side are related so they share the same row.

There are many other ways to make the flowchart, so don't feel obligated to use this format. Use whatever works best for you.

The result of the matrix multiplication for  F³  is determined as [[1,0],[-2,3]].

Matrix multiplication is a mathematical operation that takes two matrices and produces a new matrix.

Given two matrices A and B, the resulting matrix C is obtained by multiplying the elements of the rows of matrix A with the corresponding elements of the columns of matrix B, and summing the products.

To calculate F³, we need to multiply the matrix F by itself three times:

F² = F * F = [[1,0],[2,-3]] * [[1,0],[2,-3]] = [[11+02,10+0(-3)],[21+(-3)2,20+(-3)(-3)]] = [[1,0],[-4,9]]

F³ = F * F² = [[1,0],[2,-3]] * [[1,0],[-4,9]] = [[11+02,10+09],[21+(-3)(-4),2*0+(-3)*9]] = [[1,0],[-2,3]]

Therefore, F³ = [[1,0],[-2,3]].

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Answer:

1/12

Step-by-step explanation:

dice have 6 sides and the coin has 2 sides, so u multiply 6x2 to get your denominator 12. you are trying to get 1 side of the dice, and 1 side of the coin so the numerator is 1. when put together you get the fraction 1/12

The element of A n B is { 7, 8}

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind.

For example, if the element of P is even numbers from 1 to 20 and element of Q is factor of 6 from 1 to 20 then we can say that set Q is a subset of set P.

The sign 'n' means intersection and this means what is common to two or more set.

If set A = { 1,2,5,7,8}

set B = { 6,7,8,9}

then we can see that 7 and 8 are common to both sides, then

A n B = { 7,8}

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Answer:

a cone

Step-by-step explanation:

i got it right

Answer:

CONE

Step-by-step explanation:

Answer:

21.84 years

Step-by-step explanation:

From the compound interest formula;

F = P(1+r)^t .......1

ln(F/P) = tln(1+r)

t = ln(F/P)/ln(1+r) .......2

Where;

F = Final value = $45,117

P = Initial value = $15,540

r = rate = 5% = 0.05

t = time

Substituting the values into equation 2;

t = ln(45117/15540)/ln(1.05)

t = 21.84542292124 years

t = 21.84 years

It will take Bob 21.84 years

Answer:

0.9538

Step-by-step explanation:

The computation of the proportion of variation in labor hours is explained by the number of cubic feet moved is shown below:

Here the R^2 coefficient of determination, would be determined and applied the same

R^2 = 1 - SSE ÷ SST

= 1 - 123.97 ÷ 2685.9

= 0.9538