What's an equivalent ratio to 8:7?

Given the inequality:

Let's solve for j.

This is an addition expression.

To solve for j, all we have to do is to sum up the numbers.

We have:

j > 4 + 6

j > 10

Therefore, the value of j must be greater than 10.

ANSWER:

j > 10

Answer:

m = 3.5l

Step-by-step explanation:

Answer:m=3

5l

Step-by-step explanation: I took the quiz

Answer:

$47.48

Step-by-step explanation:

Let x = the amount owed Sept.

x + x - 2.23 = 292.43  Combine like terms

2x -2.23 = 292.43  Add 2.23 to both sides

2x - 2.23 + 2.23 = 292.43 + 2.23

2x = 294.66  Divide both sides by 2

\(\frac{2x}{2}\) = \(\frac{294.66}{2}\)

x = 147.33 this is the bill for September

Oct. 147.33 -2.23 = 145.10 This is the Bill for Oct.

Total:

147.33 + 145.10 = 292.43

292.43 ÷ 3 = 97.48  This is what each will owe rounded to the nearest penny.

Finn would run 18 miles after 6 track practices.

We have,

Generally, A unit rate is a ratio of two measurements with a denominator of 1. To find the number of miles Finn would run after 6 track practices, we can use the unit rate of miles per practice to multiply by the number of practices.

Unit rate: 6 miles / 2 practices = 3 miles per practice

To find the total number of miles Finn would run after 6 practices, we can multiply the unit rate of 3 miles per practice by the number of practices, 6.

Total miles: 3 miles/practice * 6 practices = 18 miles

Read more about miles

brainly.com/question/23245414

#SPJ1

Answer:

12 bananas

9 apples

18 pears

Step-by-step explanation:

You are tripling the recipe.

10 x 3 = 3

4 x 3 = 12

3 x 3 = 9

6 x 3 = 18

Answer:

8,-9,9

Step-by-step explanation:

The revenue equation is given by:

R = –360p^2 + 28,800p

To find the maximum revenue that can be expected, we need to find the vertex of the parabola represented by this equation. The vertex of a parabola is given by the formula:

Vertex = (-b/2a, f(-b/2a))

where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.

In this case, a = -360 and b = 28,800.

The x-coordinate of the vertex is given by:

x = -b/2a = -28,800/(2*(-360)) = 40

Substituting x = 40 into the revenue equation gives:

R = –360(40)^2 + 28,800(40) = 576,000

Therefore, the maximum revenue that can be expected is $576,000.

Again let me know what other ones you need help with

When Henry ran 1 5/8 miles in the morning and 9/10 miles in the afternoon, In all he a total of 2 21/40 miles

The number of miles Henry ran is calculated by addition operation

The sum of the miles Henry ran in the morning plus the number of miles he ran in the afternoon gives the what Henry ran in all

The procedure involves addition of tractions and done as follows

= 1 5/8 + 9/10

= 13/8 + 9/10

adding both fractions will result to

= 101/40 miles

= 2 21/40 miles (as a mixed number)

Henry ran a sum of 2 21/40 miles

Learn more about addition of fractions:

https://brainly.com/question/29321903

#SPJ1

Answer:

8

Step-by-step explanation:

4x8 =32

Answer:

8

Step-by-step explanation:

32 ÷ 4 = 8

or

4 × 8 = 32

there were so many solutions

Answer:

13.3 repeating

Step-by-step explanation:

Because

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \sf [5 - (5 - 5(2 - 5) + 2)] + 6\)

Subtract 5 from 2 to get -3.

\( \sf \: 5-\left(5-5\left(-3\right)+2\right)+6 \)

Multiply 5 and -3 to get -15.

\( \sf \: 5-\left(5-\left(-15\right)+2\right)+6 \)

The opposite of -15 is 15.

\( \sf \: 5-\left(5+15+2\right)+6 \)

Add 5 and 15 to get 20.

\( \sf \: 5-\left(20+2\right)+6 \)

Add 20 and 2 to get 22.

\( \sf \: 5-22+6 \)

Subtract 22 from 5 to get -17.

\( \sf \: -17+6 \)

Add -17 and 6 to get -11.

\( = \boxed{ \boxed { \bf \: - 11}}\)

Answer:

∠D = 60

∠E = 99; x = 4

x = 32

Step-by-step explanation:

First things first, the sum of angles in a quadrilateral is 360°.

∠D + 120 + 95 + 85 = 360

∠D = 360 - 120 - 95 - 85

∠D = 60

∠E + 86 + 100 + 75 = 360

∠E = 360 - 86 - 100 - 75

∠E = 99

24x + 3 = 99

24x = 99 - 3

      = 96

x = 96 ÷ 24

x = 4

89 + 5x - 8 + 51 + 3x + 4 = 360

7x + 136 = 360

7x = 360 - 136

    = 224

x = 224 ÷ 7

x = 32

The probability of selecting a junior who takes the bus is P (Junior who takes the bus) = 12/200 = 0.06Hence, the probability that a randomly selected student is a junior who takes the bus is 0.06 or 6/100.

The given frequency table on how students get to school among the high school students is represented in the below table:Transportation Walk Bike BusDriveTotalGrade 9 11 10 14 15 50Grade 10 10 7 13 20 50Grade 11 8 6 12 24 50Grade 12 5 8 8 29 50 Total 34 31 47 88 200Given data from the above frequency table, we are interested in finding the probability of a randomly selected student being a junior who takes the bus.SolutionWe know that the total number of students is 200, and the total number of junior students is 50. Hence the probability of selecting a junior is P (Junior) = 50/200 = 0.25Similarly, the number of students who take the bus is 47 and the number of junior students who take the bus is 12.

for more search question probability

https://brainly.com/question/251701

#SPJ8

9514 1404 393

Answer:

  2%

Step-by-step explanation:

The amount of interest is the difference between the total amount and the principal amount:

  N88 -N80 = N8 . . . . the amount of interest

The interest amount is given by the formula ...

  I = Prt

Solving for r, we find ...

  r = I/(Pt) = 8/(80×5) = 1/50 = 2%

The rate of simple interest paid was 2%.

Answer:

A

Step-by-step explanation:

Answer:

A) less than -5

Step-by-step explanation:

If it is lesser than -5, that means the line will be going to the left. This also means that the circle will be an open circle, not shaded.

Answer:

I think the answer will be:- m = \(-\frac{5}{3}\)

Answer:

brainlist first

Step-by-step explanation:

Answer:

12)fx is the answer

Step-by-step explanation:

The total area of all four walls is 224 square meters.

According to the question,

We have the following information:

A square room has a floor area of 49 square meters.

So, we have:

Area of square = 49 square meters

Side*side = 49

Side = \(\sqrt{49}\) m

Side of the square = 7 m

Now, the side of the floor will be the width of the wall.

So, we have the width of the wall = 7 m.

The height of the room is 8 meters.

It means that the height of the wall is 8 m.

Area of 1 rectangular wall = length*width

Area of wall = 8*7

Area of 1 wall = 56 square meters

Now, the are of 4 walls will be (4*56) square meters or 224 square meters.

Hence, the total are of all four walls is 224 square meters.

To know more about total area of all four walls here

https://brainly.com/question/16836796

#SPJ1

Answer:

Test statistic = 1.1508

Step-by-step explanation:

Given the data provided

We have to make a table and find d and d²

From the calculations I did in the attachment

n = 5

d² = 1.81

d = 1.5

The t test statistic = 1.5/1.3038 = 1.1505

B. No the new stadium may not have caused the attendance t decrease in this case. Other factors could be responsible for the low attendance.

The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

For such more questions on Kit Volume Correction

https://brainly.com/question/22971212

#SPJ8

Answer:

4/3 per minute

Step-by-step explanation:

Answer:

1. The 99% confidence interval for the difference in average is -6.47377 < μ₁ - μ₂ < -11.34623

2. The possible issues in the calculations includes;

a. The confidence level used in the confidence interval can influence the result of the confidence interval observed

b. The sample size is small

Step-by-step explanation:

1. The number of adults with insomnia in the sample = 45

The number of adults that participated in the therapy, n₁ = 22

The number of candidates that served as control group, n₂ = 23

The average score for the for the 22 participants of the program, \(\overline x_1\) = 6.59

The standard deviation for the 22 participants of the program, s₁ = 4.10

The average score for the for the 23 subjects in the control group, \(\overline x_2\) = 15.50

The standard deviation for the 23 subjects in the control group, s₂ = 5.34

The confidence interval for unknown standard deviation, σ, is given by the following expression;

\(\left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2}\sqrt{\dfrac{s_{1}^{2}}{n_{1}}+\dfrac{s_{2}^{2}}{n_{2}}}\)

α = 1 - 0.99 = 0.01

α/2 = 0.005

The degrees of freedom, df = 22 - 1 = 21

\(t_{\alpha /2}\) = \(t_{0.005, \, 21}\) = 1.721

Therefore, we have;

\(\left (6.59- 15.5 \right )\pm1.721 \cdot \sqrt{\dfrac{4.10^{2}}{22}+\dfrac{5.34^{2}}{23}}\)

The 99% confidence interval for the difference in average is therefore given as follows;

-6.47377 < μ₁ - μ₂ < -11.34623

Therefore, there is considerable evidence that the participants in the survey  had lower average score than the subjects in the control group

2. The possible issues in the calculations are;

a. The confidence level used in the confidence interval can influence the result of the confidence interval observed

b. The sample size is small

Answer:

  $5

Step-by-step explanation:

Find the vertical grid line at 8 (miles) on the horizontal scale.

Follow that grid line up to the green cab line. Count grid squares on the same vertical line from there up to the red cab line (at the edge of the graph). There are 5.

The difference in cost for a trip of 8 miles is $5.00.

Answer:

\(x\geq 2\)

Step-by-step explanation:

Write out the problem

\(\frac{x}{-5+6} \geq 2\)

Simplifiy -5 + 6 = 1

\(\frac{x}{1} \geq 2\)

Remember that any fraction with a denominator of 1 is equilvalent to the numerator, so

\(\frac{x}{1} =x\)

\(x\geq 2\)

Answer:

Step-by-step explanation:

radius = √75 = 5√3 ≅ 8.66 units

Answer:

8 pigs

Step-by-step explanation:

Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.

Suppose all animals are chickens.

Total no. of feet = 26 chickens × 2 feet

                           = 52 feet

Difference in total no. of feet = 68 feet - 52 feet

                                                = 16 feet

Difference in no. of feet each animal has

= 4 feet (a pig) - 2 feet (a chicken)

= 2 feet

∴ No. of pigs = 16 feet ÷ 2 feet

                      = 8 pigs

Answer:

Step-by-step explanation:

Math 311

Set Proofs Handout and Activity

Recall that a set A is a subset of a set B, written A ⊆ B if every element of the set A is also an element of the set B. To show

that one set is a subset of another set using a paragraph proof, we usually use what is called a “general element argument”.

Here is an example:

Example 1: We will prove that A ∩ B ⊂ A

Proof: Let x be an arbitrary element of A ∩ B. By definition of set intersection, since x ∈ A ∩ B, then x ∈ A and x ∈ B.

In particular, x ∈ A. Since every element of A ∩ B is also an element of A, A ∩ B ⊆ A ✷

Since that was a fairly straightforward example, let’s try another.

Example 2: We will prove that If A ⊆ B, then B ⊆ A.

Proof: Let x ∈ B. By definition of set complement, x /∈ B. Recall that since A ⊆ B, whenever y ∈ A, we also have y ∈ B.

Therefore, using contraposition, whenever y /∈ B, we must have y /∈ A. From this, since x /∈ B, then x /∈ A. Therefore x ∈ A.

Hence B ⊆ A. ✷

Lastly, in order to formally prove that two sets are equal, say S = T, we must show that S ⊆ T and that T ⊆ S. This will

require two general element arguments.

Example 3: We will prove that A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C).

Proof:

“⊆” Let x ∈ A ∪ (B ∩ C). Then x ∈ A or x ∈ B ∩ C. We will consider these two cases separately.

Case 1: Suppose x ∈ A. Then, by definition of set union, x ∈ A ∪ B. Similarly, x ∈ A ∪ C. Thus. by definition of set

intersection, we must have x ∈ (A ∪ B) ∩ (A ∪ C).

Case 2: Suppose x ∈ B ∩ C. Then, by definition of set intersection, x ∈ B and x ∈ C. Since x ∈ B, then again by the

definition of set union, x ∈ A ∪ B. Similarly, since x ∈ C, then x ∈ A ∪ C. Hence, again by definition of set intersection,

x ∈ (A ∪ B) ∩ (A ∪ C).

Since these are the only possible cases, then A ∪ (B ∩ C) ⊆ (A ∪ B) ∩ (A ∪ C)

“⊇” Let x ∈ (A ∪ B) ∩ (A ∪ C). Then, by definition of set intersection, x ∈ A ∪ B and x ∈ A ∪ C. We will once again split

into cases.

Case 1: Suppose x ∈ A. Then, by definition of set union, x ∈ A ∪ (B ∩ C).

Case 2: Suppose x /∈ A. Since x ∈ A ∪ B, then, by definition of set union, we must have x ∈ B. Similarly, since x ∈ A ∪ C,

we must have x ∈ C. Therefore, by definition of set intersection, we have x ∈ B ∩ C. Hence, again by definition of set union,

A ∪ (B ∩ C).

Since these are the only possible cases, then A ∪ (B ∩ C) ⊇ (A ∪ B) ∩ (A ∪ C)

Thus A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C). ✷

Instructions: Use general element arguments to show that following (Note that only 3, 4, and 5 may be used as portfolio

proofs):

1. Proposition 1: B − A ⊆ B

2. Proposition 2: A − (A − B) ⊆ B

3. Proposition 3: A − (A − B) = A ∩ B

4. Proposition 4: (A − B) ∪ (B − A) = (A ∪ B) − (A ∩ B)

5. Proposition 5: A × (B ∩ C) = (A × B) ∩ (A × C)