Solve −3.5 =
x
4
for x using the multiplication property of equality.

The operation in the problem is


.
The inverse operation is


.



= x

Mean is greater for grade 7.

Median is greater for grade 7.

So, the correct options are B and D.

"The mean is the number you get by dividing the sum of a set of values by the number of values in the set.

The median is the middle number in a set of values when those values are arranged from smallest to largest."

Mean for grade 6 is

= \(\frac{1+2+3+1+1+1+1}{7}\)

= \(\frac{10}{7}\)

Mean for grade 7 is

= \(\frac{1+2+5+2}{4}\)

= \(\frac{10}{4}\)

From both we get, Mean is greater for grade 7

Median for grade 6 is 1

Median for grade 7 is

= \(\frac{2+5}{2}\)

= 3.5

From both we get, Median is greater for grade 7

So, the correct options are B and D.

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Answer:

The first option, V ≈ 1607.7 in²

Step-by-step explanation:

Find the volume of the given cylinder.

\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)

Given:

r = 8 in

h = 8 in

π = 3.14

Find:

V = ?? in³

\(\hrulefill\)

Now solving,

Substitute the given values into the formula:

=> V = (3.14)(8)²(8)

Using a calculator to simplify:

=> V = 1607.68 in²

Rounded to the nearest tenth:

∴ V ≈ 1607.7 in²

Thus, the first option is correct.

Answer:

Step-by-step explanation:

I would ask my teacher for help if no, then it seems like you would mark a line in the numbers line or smth just giving you an idea sorry if this never helped :(

Answer:

m= (b/4) -1

Step-by-step explanation:

b = 4(m + 1)

b/4 = m+1

(b/4) -1 = m

Answer:

m= (b/4) - 1

Step-by-step explanation:

You have to do the inverse of operations so times would be divide and add would be subtract.

Answer: 1/7 chance

Step-by-step explanation: there is a 2/7 chance to pull it once, cut it in half because you’re pulling it twice hope it helps

Answer:

1/21

Step-by-step explanation:

The chance that you choose an orange is number of oranges/number of fruits = 2/7. If you choose an orange then the chance your friend chooses an orange is 1/6. So, you multiply these to get 2/42. This simplifies to 1/21.

Step-by-step explanation:

1. A triangle has perpendicular sides only.

2. A rectangle has only parallel sides.

3. A parallelogram has only parallel sides.

4. A trapezoid has both parallel and perpendicular sides.

5. A right triangle has only perpendicular sides.

Answer:

The probability for the coin is 1/2. And the probability for dice is 2/6.

Step-by-step explanation:

Ans: 1.1 miles more

Speed = distance/time

Time is 1/5 of an hour

1/5 of 1hr = 1/5 or 0.2 hrs

Speed = 16 mph

So, we're after distance.

Distance = speed x time

= 16mph x 0.2

= 3.2 miles

Walks for 3/7 hour at 5 miles per hour :

Time & speed given, distance is what we're after.

(3/7 of 1hr is 3/7)

Distance = speed x time

= 5mph x 3/7

= 15/7 miles or 2.14285...miles

So, distance is about 2.1 miles to 1 d.p

Thus, 3.2 - 2.142... (the full ans) = 1.057... miles

Well, he biked 1.06 miles or 1.1 miles (depending on how you want to round it) more than walking.

Hope this helps!

Answer:

C

Step-by-step explanation:

NEGATIVE TIMES POSITIVE WILL GIVE A NEGATIVE PRODUCT

Answer:

the answer is c

Step-by-step explanation:

Answer:

Object 1: C≈13

Object 2: C≈51.8

Object 3: C≈84.8

Step-by-step explanation:

I rounded all to tenth place!

The probability of Tina wearing blue on the first day of her trip and then wearing grey on the second day of her trip is 1/20.

It is a branch of mathematics that deals with the occurrence of a random event.

The probability of Tina wearing blue on the first day of her trip is 1/5, since she has 5 t-shirts to choose from and only one of them is blue.

After wearing the blue t-shirt on the first day, Tina will have 4 t-shirts left to choose from for the second day. Only one of those t-shirts is grey, so the probability of Tina wearing grey on the second day given that she wore blue on the first day is 1/4.

The probability of both events happening (Tina wearing blue on the first day and then grey on the second day) is the product of the individual probabilities:

P(blue on first day and grey on second day) = P(blue on first day) x P(grey on second day | blue on first day)

P(blue on first day and grey on second day) = (1/5) x (1/4)

P(blue on first day and grey on second day) = 1/20

Therefore, the probability of Tina wearing blue on the first day of her trip and then wearing grey on the second day of her trip is 1/20. So, the correct option is 1/20.

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9514 1404 393

Answer:

  undo what is done to the variable

Step-by-step explanation:

As with any "solve for" problem, it is a good idea to take a look at what is being done to the variable you're solving for.

Starting "as is"

Here, the value 2.5 is added to it, and the sum is multiplied by -5 (which we notice is negative).

In general, you want to "undo" what is done to the variable — in reverse order. What was done:

If we adopt that strategy, it means we first need to undo multiplication by -5. That is, we must either (a) multiply both sides by -1/5, or (b) divide both sides by -5. Either choice will require that the sense of the comparison be reversed, so you will have ...

  ( ) < (x + 2.5)

After that, you need to "undo" the addition of 2.5. That is accomplished by adding -2.5 to both sides of the equation.

__

Simplifying first

For many problems that have fractions and/or parentheses, it can work well to eliminate both before you start with your "undo" strategy. Here, a first step can be to simplify the inequality, eliminating parentheses. This means you will use the distributive property to multiply each term inside parentheses by the (negative) factor outside.

Having done that, you find the "what was done to the variable" list is slightly different:

As a consequence the "undo" steps are slightly different. Addition is still reversed by adding the opposite. Multiplication is still reversed by multiplying by the reciprocal, or by division (same thing).

As before, (and as always), what you do to one side of the inequality, you must also do to the other side. If multiplication or division by a negative number is involved, the comparison symbol must be reversed.

_____

About Negative Multiplication/Division

Above, we have noted that multiplication or division by a negative number requires reversal of the comparison symbol. For example, ...

  starting with -1 > -2

multiplying both sides by -1 gives ...

  ending with 1 < 2

__

When the (only) variable term has a negative coefficient, there is another strategy you can use that does not require the comparison to be reversed. You can add the opposite of that term to both sides of the inequality. For example, ...

  starting with -5x < -38

we can add 5x to both sides to get ...

  0 < -38 +5x . . . . . now the variable has a positive coefficient

This lets us proceed with the solution without worrying about the sense of the inequality. (Note that the variable will be "greater than" some value.)

_____

More about solving strategy

The rules that make Algebra possible are the rules of equality. If you look them up, you may find separate versions for addition, multiplication, subtraction, division. If you realize that subtraction is a form of addition, and that division is a form of multiplication, there are really only two—and those can be simplified to ONE RULE: always do the same operation on both sides of the equal sign. The same rule applies to inequalities. You will stay out of trouble if you remember and follow this rule. (There are many "shortcut" versions that go by names like "cross-multiply" and others. They are basically this rule with some steps not shown.)

When it comes to applying functions to inequalities, you need to consider carefully whether the function preserves the ordering relationship (>, ≥, <, ≤). Some functions do not, or have different behavior in different domains, so paying attention is required. Multiplication by a negative number is just the tip of the iceberg here.

Answer:

-10

Step-by-step explanation:

The integer which represents 10 degrees below zero will be -10°

It is given that an integer represents 10° below zero.

We have to find out the integer.

What are the integers ?

An integer is a number with no decimal or fractional part and includes negative and positive numbers including zero i.e., -5 , 0 , 2 , etc.

As per the question ;

An integer represents 10 degrees below zero.

10 ° below zero meant 10 less than zero.

i.e.,

0 - 10 °

This can also be written as ;

=  - 10°

Thus , the integer which represents 10 degrees below zero will be -10°.

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Answer:

- 3/2            This matches Answer C

Step-by-step explanation:

The midpoint of the segment connecting (2,4) and (2,-7) is (2, y), where

       4 - 7

y = ---------- = - 3/2            This matches Answer C.

          2

Answer:

ok im not sure this is the right answer to your specific question, because i dont understand the wording to well, but here...

for 1/7 and 1/2 it would be 2/7 and 1 (whole)

for 1 and 1/7 it would be 2(whole) and 2/7

for 1 and 2/7 it would be 2(whole) and 4/7

for 4/9 it would be 8/9 and x

and for 2/9 it would be 4/9 and x

sorry if thats not the question :)

EDIT: its the second one because

2*1/7= 2/7

and 1/2*2=1

Answer:

This represents a proportional relationship, the ratios are equivalent, and the constant of proportionality is 7.7.

Step-by-step explanation:

Since we know that six cell phones weigh 46.2 oz, we can divide 46.2 by 6 to find the weight of each, so 46.2/6=7.7.

We also know that fourteen cell phones weigh 107.8 oz, so we divide 107.8 by fourteen and get 7.7 as well.

Since both ratios equal 7.7 oz per cell phone, the ratios are equal and the relationship is proportional.

Answer: Skew line

Step-by-step explanation:

Because it’s 3 dimensional

the answer is D because ;

b³ = ³√ 343

b³ = 7

b = ³√ 7

= 1.91

Answer:

Step-by-step explanation:

it 2

I just did this

Answer:

b>1

Step-by-step explanation:

(Move the constant to the right- hand side and change its sign)

-36<9-12

Calculate the difference

-3b<-3

Divide both sides of the inequality by

-3 and flip the inequality sign

Answer:

The integer that describes the translation from B to B' is (-2,1)

Answer:

(10t + u)(10u + t) = 4,930

100tu + 10t^2 + 10u^2 + tu = 4,930

101tu + 10t^2 + 10u^2 = 4,930

10t^2 + (101u)t + (10u^2 - 4,930) = 0

(101u)^2 - 4(10)(10u^2 - 4,930)

= 10,201u^2 - 400u^2 + 197,200

= 9,801u^2 + 197,200

We see that u = 5 gives 442,225.

√442,225 = 665

(10t + 5)(50 + t) = 4,930

500t + 10t^2 + 250 + 5t = 4,930

10t^2 + 505t - 4,680 = 0

2t^2 + 101t - 936 = 0

t = (-101 + √(101^2 - 4(2)(-936)))/(2×2)

= (-101 + √17,689)/4

= (-101 + 133)/4 = 32/4 = 8

So the numbers are 58 and 85.

58 + 85 = 143

Step-by-step explanation:

an = 3* (sqrt 2)^(n-1)   = 192    solve for n

           sqrt(2)^(n-1) = 64

                  n-1 =  log 64 / log (sqrt 2) = 12

                 n = 13  

Answer:

13

Step-by-step explanation:

A integer is a whole number so 0+13=13. So 13 is the integer.

Answer:

7 I think I don't know if it's true though

Answer:A 48-ounce juice container

Step-by-step explanation:

64 and 48 are almost the same and 2 more dollars is too much.

Answer:

The 48 oz container is a better buy.

Step-by-step explanation:

6.50/64 = 0.1015625

4.25/48 = 0.08854166666

The 64 oz container costs approx $0.10 per ounce. The 48 oz container costs $0.09 per ounce. The 48 oz container is a better buy because it costs less per ounce.