Lindy has 64 vanilla wafers to put into bags. How many bags can she fill if she puts the same number in each bag and uses them all

Answer:

14-16x=32-10x

14-6x=32

-6x=18

x=-3

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

huh?

Step-by-step explanation:

Minute? Hour?

The number of weeks that she orders them both in the same week again is 24 weeks.

From the information, the office manager orders computer paper every 6 weeks and printer ink cartridges every 8 weeks.

The weeks when they will order same will be the least common multiple for 6 and 8. This will be:

6 = 6, 12, 18, 24

8 = 8, 16, 24

The multiple is 24 weeks. This illustrates the information.

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Answer:

A

(highest degree of x first)

Answer:

It actually means that 50% are boys and 50% are girls.

Step-by-step explanation:

This is because 25 is the half of 50 (the total number of students. And half means 50%

Answer:

x = 10/243

Step-by-step explanation:

3^5x = 10

243x = 10

Divide 243 on both sides

10/243

It would take 18 days for 4 workers to complete the job.

Step-by-step explanation:

As d goes up, w goes down by the same amount.

X = 9*8 = 72

18*4 = 72

likewise, 2*36 = 72

3*24 = 72

6*12 = 72

And so on....

Answer:Yeet

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

A parbola with zeroes at 0 and 598 would look like this:

  f(x) = a ( x-0)(x-598)      at the midpoint 299   the value is 625

   625 = a (299) (299-598)      shows a = - 625/89401

-625/89401 (x)(x-598)   <======expand as necessary

The value of the missing sides in the parallelogram are x = 3 and y = 6

In other to solve the question posted, we use the law which relates to the sides of a parallelogram which establishes that opposite sides of a parallelogram are of equal length.

This means that the side opposite length of 3 will also be 3 and vice-versa

side x = 3

side y = 6

Therefore, the missing sides of the parallelogram are 3 and 6 for sides x and y respectively.

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Answer:

8.28/18 = 0.46

46 cents

Step-by-step explanation:

The value of the expression when y = 10 and z = 5 is 5

From the question, we have the following parameters that can be used in our computation:

0.3y + y/z

Also, from the question, we have the following values:

y = 10 and z = 5

substitute the known values in the above equation, so, we have the following representation

0.3y + y/z = 0.3 * 10 + 10/5

Evaluate the expression

0.3y + y/z = 5

Hence, the solution is 5

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Hello, let's note

\(f(x)=x^4-3x^3+x^2+3x-2\\\\f(1)=1-3+1+3-2=0\)

So we can put (x-1) in factor. We are looking for a and b such that

\(f(x)=(x-1)(x^3+ax^2+bx+2)=x^4+(a-1)x^3+(b-a)x^2+(2-b)x-2\)

We identify the like terms, it comes

a-1=-3 <=> a = -2

b-a=1 <=> b = 1 + a = -1

2-b=3

So it comes.

\(f(x)=(x-1)(x^3-2x^2-x+2)\)

And we can go further using the same method to find that

\(x^3-2x^2-x+2=(x-1)(x^2-x-2)\)

The sum of the zeroes is 1=2-1 and the product is -2=(-1)*2, so, we can factorise.

\(\boxed{f(x)=(x-1)^2(x+1)(x-2)}\)

The sign of f(x) is the same as the sign of (x+1)(x-2) as a square is always positive.

To find the sign of a product, we can apply the following.

"- multiplied by - gives +"

"+ multiplied by + gives +"

"- multiplied by + gives -"

"+ multiplied by - gives -"

This is this what we are doing below.

\(\begin{array}{|c|ccccccc}x&-\infty&&-1&&2&&+\infty\\---&---&---&---&---&---&---&---\\x+1&-&-&0&+&3&+&+\\---&---&---&---&---&---&---&---\\x-2&-&-&-3&-&0&+&+\\---&---&---&---&---&---&---&---\\f(x)&+&+&0&-&0&+&+\\\end{array}\)

So, to answer the question

\(\Large \boxed{\sf \bf \ f(x) < 0 <=> -1 < x < 2 \ }\)

Thank you.

Answer:

1/114 or 0.008772

Step-by-step explanation:

I am not very sure, my answer seems unlikely, but here's what I think:

There are 20 jerseys in the box to begin with, and 5 medium jerseys that you can have.

Therefore, the probability of you randomly grabbing a medium sized jersey is 5/20 or 1/4.

After taking out one medium sized jersey, there are 19 jerseys in the box and 4 medium jerseys you can pick from.

The probability of you randomly grabbing a medium sized jersey is 4/19.

After taking out another medium sized jersey, there are 18 jerseys left in the box and 3 medium jerseys you can pick from.

The probability of you randomly grabbing a medium sized jersey is 3/18.

To get the answer, you do 1/4 * 4/19 * 3/18, and get 1/114, or 0.00877192982.

If you round that to the nearest millionth, it's 0.008772

Don't judge me, it might not be correct.

[~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T by substituting the propositional variables.

A truth table is a table used to determine the truth values of a compound proposition, which is a logical statement made up of simpler propositions using logical operators such as "and" (represented by "&"), "or" (represented by "V"), "not" (represented by "~"), conditional (represented by "⊃"), and biconditional (represented by "≡").

Let's substitute the given truth values for the propositional variables in the given statement:

[~F & (F V F)] ≡ (T ⊃ F)

Using the truth table for conjunction (represented by "&") and disjunction (represented by "V"), we can simplify the left-hand side of the equivalence:

[T & F] ≡ (T ⊃ F)

Using the truth table for conditional (represented by "⊃"), we can simplify the right-hand side of the equivalence:

F ≡ F

Since both sides of the equivalence have the same truth value, the statement is true.

Therefore, [~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T.

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Answer:

Let's go step-by-step ⇒

\(\frac{10x + 4}{7} = 8\)

= \((\frac{7}{1})\frac{10x+4}{7} = \frac{8}{1}(\frac{7}{1})\)

= \(10x+4=56\)

= \(10x = 52\)

= \(x = 5.2\)

Your answer is x = 5.2

I hope this helps!

- sincerelynini

Answer:

3

Step-by-step explanation:

Answer:

cos Z = 7/25, ∠Z ≈ 73.74°

Step-by-step explanation:

SOH CAH TOA

           ↑ adjacent/hypotenuse

cos Z = 7/25

=> Z = cos^-1 (7/25)

=> Z ≈ 73.74°

The surface area of the pyramid is 113 cm².

A rectangular pyramid is a type of pyramid where the base is a rectangle and the triangular faces meet at a single point called the apex or vertex. It has five faces, including a rectangular base and four triangular faces, and it is a polyhedron with five vertices and eight edges.

The rectangular pyramid has a base of dimensions 7 cm by 5 cm, and the two large triangular faces have a height of 7.6 cm, while the two small triangular faces have a height of 8 cm.

To find the surface area of the pyramid, we need to find the area of each face and then add them up.

Area of the base:

The base of the pyramid is a rectangle with dimensions 7 cm by 5 cm, so its area is:

Area of base = length × width = 7 cm × 5 cm = 35 cm²

Area of the four triangular faces:

Each of the four triangular faces has a base of 5 cm (the width of the rectangle) and a height of either 7.6 cm or 8 cm. Using the formula for the area of a triangle, we can find the area of each face:

Area of each large triangular face = 1/2 × base × height = 1/2 × 5 cm × 7.6 cm = 19 cm²

Area of each small triangular face = 1/2 × base × height = 1/2 × 5 cm × 8 cm = 20 cm²

There are two large triangular faces and two small triangular faces, so the total area of the four triangular faces is:

Total area of four triangular faces = 2 × area of large triangular face + 2 × area of small triangular face

= 2 × 19 cm² + 2 × 20 cm²

= 78 cm²

Total surface area:

Finally, we can find the total surface area of the pyramid by adding the area of the base to the total area of the four triangular faces:

Total surface area = area of base + total area of four triangular faces

= 35 cm² + 78 cm²

= 113 cm²

Therefore, the surface area of the pyramid is 113 cm²

.

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Answer:

  (b)  3 units

Step-by-step explanation:

You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.

The dilation factor multiplies every length.

If OB is 3/4, then OB' is 4(3/4) = 3.

The length of OB' is 3 units.

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Answer:

(1,-1) and (2,4)

Step-by-step explanation:

By graphing the two inequalities, we can see that all possible solutions will be located in the DOUBLE-SHADED region - meaning that the inequality is true for both equations in that region.

See attached graph.

The only two points in the double-shaded region are (1,-1) and (2,-4).

Answer:

It would take 1 hours and 30 minutes

1 2/4

Step-by-step explanation:

Answer: 1560

Step-by-step explanation: The average rate of change of a function over an interval is the total change in the value of the function divided by the length of the interval. In this case, the function is f(x) = 10(2)^x and the interval is [3, 5].

To find the average rate of change of the function over the interval, we can first evaluate the function at the two endpoints of the interval, which are x = 3 and x = 5. At x = 3, the function has a value of f(3) = 10(2)^3 = 80. At x = 5, the function has a value of f(5) = 10(2)^5 = 3200.

The total change in the value of the function over the interval is then the difference between the values at the two endpoints, which is f(5) - f(3) = 3200 - 80 = 3120.

The length of the interval is 5 - 3 = 2, since it goes from x = 3 to x = 5. Therefore, the average rate of change of the function over the interval is the total change in the value of the function divided by the length of the interval, which is (3120) / 2 = 1560.

Therefore, the average rate of change of the function f(x) = 10(2)^x on the interval [3, 5] is 1560.

A. True.

In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.

The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).

The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.

A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.

For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.

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The angles are formed by a transversal and two parallel lines in the figure. By applying congruent angles and vertical opposite angle property, ∠1 ≅∠3 ≅ ∠5 ≅ ∠7; ∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8. Therefore option B is correct.

Congruent angles are identical to each other and have the same measure. The angles formed by the transversal in corresponding corners are called corresponding angles and they are congruent.

Therefore, ∠1 ≅ ∠5, ∠3 ≅ ∠7----------(1)

At a vertex if two angles are opposite to each other, then they are vertically opposite angles, they are equal and congruent to each other.

Therefore, ∠1 ≅ ∠3, ∠5 ≅ ∠7----------(2)

Combining (1) and (2), we get:

∠1 ≅∠3 ≅ ∠5 ≅ ∠7
Similarly we can find,

∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8.

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Answer:

12a + 3b.

Step-by-step explanation:

3(4a + b)

= 3 * 4a + 3 * b

= 12a + 3b.

Hope this helps!

Answer:

\(12a+3b\)

Step-by-step explanation:

\(\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=3,\:b=4a,\:c=b\\=3\times \:4a+3b\\\mathrm{Multiply\:the\:numbers:}\:3\times \:4=12\\=12a+3b\)

Answer:

B. xy(y - x) (y + x)

Step-by-step explanation: