As a fraction in simplest terms, what would you multiply the first number by to get
the second?
First number: 25
Second number: 30
25
= 30
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Answer:

x = 5

y = 3

Step-by-step explanation:

x + 4y = 17

2x + 5y = 25

We multiply the first equation by -2

-2x - 8y = -34

2x + 5y = 25

-3y = -9

y = 3

Now we put 3 in for y and solve for x

x + 4(3) = 17

x + 12 = 17

x = 5

Let's Check the answer

5 + 4(3) = 17

5 + 12 = 17

17 = 17

So, x = 17 and y = 3 is the correct answer.

Answer:

O weight in kilograms = 25 x 3.5 ÷ 2.2

Step-by-step explanation:

As a butcher, you sell beef in 3.5-pound packages. You anticipate needing 25 packages for the next two days.

Therefore, the total number of pounds for the 25 packages =

3.5 pound packages × 25

= 87.5 pounds

We are told that : The wholesaler from whom you purchase large pieces of meat measures the weight of the beef in kilograms.

Note that:

2.2 pounds = 1 kg

Hence:

87.5 pounds =

= 87.5÷ 2.2

= 39.772727273 kg

He needs to buy 39.772727273kg from the wholesaler

The equation can you use to determine the weight of the beef, in kilograms, that you need to purchase from the wholesaler is:

O weight in kilograms = (25 x 3.5) ÷ 2.2

Answer:

4-pack is better

Step-by-step explanation:

2.04÷4=0.51p each

4.68÷9=0.52p each

The zero vector in P4 is the polynomial 0(x) = 0, which has even degree. The set of all polynomials in P4 of even degree is closed under addition.

The set of all polynomials in P4 of even degree satisfies all three conditions, it is a subspace of P4.

(a) The set of all polynomials in P4 of even degree is a subspace of P4.

To prove this, we need to show that it satisfies the three conditions for a subspace:

i) It contains the zero vector: The zero vector in P4 is the polynomial 0(x) = 0, which has even degree, so it is contained in the set of all polynomials in P4 of even degree.

ii) It is closed under addition: Let p(x) and q(x) be two polynomials in P4 of even degree. Then, p(x) + q(x) is also a polynomial of even degree, since the sum of two even numbers is even. Therefore, the set of all polynomials in P4 of even degree is closed under addition.

iii) It is closed under scalar multiplication: Let p(x) be a polynomial in P4 of even degree, and let c be a scalar. Then, cp(x) is also a polynomial of even degree, since multiplying an even number by a scalar yields an even number. Therefore, the set of all polynomials in P4 of even degree is closed under scalar multiplication.

Since the set of all polynomials in P4 of even degree satisfies all three conditions, it is a subspace of P4.

(b) The set of all polynomials of degree 3 is not a subspace of P4.

To prove this, we only need to show that it does not satisfy the first condition for a subspace:

i) It contains the zero vector: The zero vector in P4 is the polynomial 0(x) = 0, which has degree 0, not degree 3. Therefore, the set of all polynomials of degree 3 does not contain the zero vector and is not a subspace of P4.

(c) The set of all polynomials p in P4 such that p(0) = 0 is a subspace of P4.

To prove this, we need to show that it satisfies the three conditions for a subspace:

i) It contains the zero vector: The zero vector in P4 is the polynomial 0(x) = 0, which satisfies 0(0) = 0, so it is contained in the set of all polynomials p in P4 such that p(0) = 0.

ii) It is closed under addition: Let p(x) and q(x) be two polynomials in P4 such that p(0) = 0 and q(0) = 0. Then, (p+q)(0) = p(0) + q(0) = 0, so p+q is also a polynomial in P4 such that (p+q)(0) = 0. Therefore, the set of all polynomials p in P4 such that p(0) = 0 is closed under addition.

iii) It is closed under scalar multiplication: Let p(x) be a polynomial in P4 such that p(0) = 0, and let c be a scalar. Then, (cp)(0) = c(p(0)) = c(0) = 0, so cp is also a polynomial in P4 such that (cp)(0) = 0. Therefore, the set of all polynomials p in P4 such that p(0) = 0 is closed under scalar multiplication.

Since the set of all polynomials p in P4 such that p(0) = 0 satisfies all three conditions, it is a subspace of P4.

(d) The set of all polynomials in P4 having at least one real root is not a subspace of P4.

To prove this, we only need

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Answer: 401

Step-by-step explanation:

-177 + 578 = 401

Answer:

Step-by-step explanation:

Use the distance formula:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\) For us that will look like this:

\(d=\sqrt{(6-(-3))^2+(-2-4)^2}\) which simplifies to

\(d=\sqrt{(9)^2+(-6)^2}\) and a bit more to

\(d=\sqrt{81+36}\) so

\(d=\sqrt{117}\)

Answer:

6x-4

Step-by-step explanation:

Let's simplify step-by-step.

2(3x−2)−(4x−4x)

Distribute the Negative Sign:

=2(3x−2)+−1(4x−4x)

=2(3x−2)+−1(4x)+−1(−4x)

=2(3x−2)+−4x+4x

Distribute:

=(2)(3x)+(2)(−2)+−4x+4x

=6x+−4+−4x+4x

Combine Like Terms:

=6x+−4+−4x+4x

=(6x+−4x+4x)+(−4)

=6x+−4

Answer:

=6x−4

Answer:

124

Step-by-step explanation:

that is wrong so do not put it

Answer:

y=2x-8

Step-by-step explanation:

Answer:

y=2x-8

explanation: you subtract 2x from both sides to isolate y

-y=-2x+8

then you multiply everything by -1 to make y positive

Answer:

The Unit Rate = 0.25 cup

Step-by-step explanation:

0.5 cup equals 2 servings.

The Unit Rate = per serving

Per serving = 0.5 cup / 2 serving

= 0.25 cup

Per serving = 0.25 cup

The Unit Rate = 0.25 cup

Answer:

que

Step-by-step explanation:

no Tengo carnitas yo quero sopes

Answer:

a2 is a3 B is 2 and a4 is -2

Step-by-step explanation:

just math and more math

Answer:

its 34/5

Step-by-step explanation:

change that mixed fraction by simply multiplying 6×5 then add 4 you'll get 34 then place it over the denominator 5 =34/5........ hope it helps

Answer:

1/6 is left

Step-by-step explanation:

A woman gives 1/4 of a cake to her son 1/4 to her daughter, and 1/3 to her husband. What fraction is left?

As 4*3=12, we need to convert into twelfths.

3/12 + 3/12 + 4/12 = 10/12. This needs to be subtracted from 1 (12/12).

12/12 - 10/12 = 2/12. Simplify to 1/6.

1/6 is left.

Answer:

45%

Step-by-step explanation:

900/2,000 = 45

Answer:

Step-by-step explanation:

The Volume of a rectangular prism is expressed as;

V = Base area * height of prism

Given

Volume of prism V = 7,280 cubic inches.

height of prism = 26in

Required

Base Area

Substitute the given parameter into the formula;

7280 = 26B

B = 7280/26

B = 280in²

Hence the area of the newspaper on the bottom of the cage is 280in²

Answer:

x  \(\geq\) -\(\frac{11}{3} \)

Step-by-step explanation:

3x \(\geq \) -11

x \(\geq \) -    \(\frac{11}{3} \)

Answer: 8 1/4 tons

Step-by-step explanation:

2 1/5 * 3 3/4 = 8.25 or 8 1/4

The inequality that would represent the possible values for the number of hours washing cars, ww, and the number of hours tutoring, tt, that Addison can work in a given week is 5ww + 11tt ≥ 85.

Amount earned by Addison per hour in washing cars = $ 10

Amount earned by Addison per hour in tutoring = $ 22

Minimum amount Addison must earn this week = $ 170

We have to find an inequality  that would represent the possible values for the number of hours washing cars, ww, and the number of hours tutoring, tt, that Addison can work in a given week.

Based to the data given in the question, we can write the inequality,

10ww + 22tt ≥ 170

Dividing the inequality by 2, we get

5ww + 11tt ≥ 85

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The basis for the solution space is \($\begin{pmatrix} 1 \ 0 \ -8 \end{pmatrix}, \begin{pmatrix} 0 \ -57 \ 1 \end{pmatrix}$\) and the dimension of the solution space is 2.

We can write the system of equations in augmented matrix form as:

\($\left(\begin{array}{ccc|c} 1 & -1 & 8 & 0 \\ 7 & -8 & -1 & 0 \end{array}\right)$\)

Performing row operations to bring the matrix to row echelon form:

\($\left(\begin{array}{ccc|c} 1 & -1 & 8 & 0 \\ 0 & -1 & -57 & 0 \end{array}\right)$\)

Now we can see that there are two pivot variables, so there is one free variable. The row-reduced form of the augmented matrix has two pivots, so there are two basic variables and one free variable.

We can express the solutions in terms of the free variable x3 as:

x1 = x3 - 8x2

x2 = -57x3

So a basis for the solution space is:

\($\begin{pmatrix} 1 \ 0 \ -8 \end{pmatrix}, \begin{pmatrix} 0 \ -57 \ 1 \end{pmatrix}$\)

The dimension of the solution space is 2.

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Answer: 16

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Knowing that X is 2 does not affect the probability of X + Y being 7. we can conclude that events A and B are independent.

To determine whether events A and B are independent, we need to check if the occurrence of one event affects the probability of the other event.

We can use the formula for conditional probability to check if A and B are independent:

P(B|A) = P(A ∩ B) / P(A)

If A and B are independent, then P(B|A) = P(B). If A and B are not independent, then P(B|A) ≠ P(B).

Let's first find the probability of A and B occurring:

P(A ∩ B) = P(X = 2 and X + Y = 7)

= P(X = 2 and Y = 5)

= 1/36

Next, we need to find the probability of A occurring:

P(A) = P(X = 2) = 1/6

Now, we can calculate P(B|A):

P(B|A) = P(X + Y = 7 | X = 2)

= P(Y = 5 | X = 2)

= 1/6

Since P(B|A) = P(B), we can conclude that events A and B are independent.

Therefore, knowing that X is 2 does not affect the probability of X + Y being 7.

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The question is incomplete but probably the full question is:

I toss a fair die twice and obtain two numbers X and Y. Let A be the event that X = 2, B be the event that X + Y = 7, and C be the event that Y = 3.

a) Are A and B independent?

Answer:

(3x, 6)

(3, 8)

Step-by-step explanation:

Answer:

2 to 4 or simplified 1 to 2

Step-by-step explanation:

There 2 green marbles and 4 orange marbles so the ratio is 2 to 4

You can simplify that down to 1 to 2

Answer:

1. 3 3/4 in

2. 4 1/4

Step-by-step explanation:

look at graph

The altitude of the right triangle is the geometric mean of the 2 parts of the side it separates.

a. The answer would be sqrt(18*32)=24

The question to the second question can be answered by using the Pythagorean theorem.

32^2+24^2=1600=40^2

b. The answer would be sqrt40^2=40

The beach, the parking lot and the refreshment stand are illustrations of similar triangles.

(a) The distance between the spot and the parking lot

Represent this distance with d.

So, the equivalent ratio is:

\(\mathbf{32:d = d : 18}\)

Express as fractions

\(\mathbf{\frac {32}d = \frac{d}{ 18}}\)

Cross multiply

\(\mathbf{d \times d = 32 \times 18}\)

\(\mathbf{d^2 = 576}\)

Take square roots

\(\mathbf{d = 24}\)

Hence, the distance between the spot and the parking lot is 24 m

(b) The distance between the refreshment stand and the parking lot

Represent this distance with d.

Using Pythagoras theorem we have:

\(\mathbf{d^2 = 32^2 + 24^2}\)

\(\mathbf{d^2 = 1600}\)

Take square roots

\(\mathbf{d = 40}\)

Hence, the distance between the refreshment stand and the parking lot is 40 m

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The cost of the wings per dollar is 1.2 wings per dollar ($15 / 18 wings = $0.83 per wing). The cost of 18 wings is $15. To calculate the cost of the wings per dollar, divide the total cost of the wings ($15) by the number of wings (18).

1. Divide the total cost of the wings ($15) by the number of wings (18).

2. The result of this calculation is the cost of each wing ($15 / 18 = $0.83).

3. Divide 1 by the cost of each wing ($1 / $0.83 = 1.2 wings per dollar).

The cost of 18 wings is $15. To calculate the cost of the wings per dollar, divide the total cost of the wings ($15) by the number of wings (18). This calculation will give the cost of each wing ($15 / 18 = $0.83). To find the number of wings per dollar, divide 1 by the cost of each wing ($1 / $0.83 = 1.2 wings per dollar). This means that for every dollar spent, 1.2 wings can be purchased.

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Answer:

The skirt would be $12.00

Step-by-step explanation:

you take the original price ($30) and divide by 100, then you are going to get 0.3. After you have divided you are going to multiply the 0.3 to the 40% then you should get your total of 12.00 dollars!

Answer:

$60378

Step-by-step explanation:

$58,000 represents 100% of the original cost

100 + 4.1= 104.1% = 104.1/100 = 1.041

Multiplying by 1.041 gives the cost after the increase

price = 53000 x 1.041  = $60378