Solve the inequality.

−4>−4/3s

The solution is ___

Answer:

The first one is true, meanwhile the second is false!

Step-by-step explanation:

The first one both simplify to -3.

The second one, -6/-2 ( fraction ) simplifies to positive 3 because dividing or multiplying by 2 negative numbers cancels out the negative sign.

Hope it helps!

Answer:

1) True

2) False

Step-by-step explanation:

- 6/2 = -3

Answer:

46%

Step-by-step explanation:

see image attached!

Answer:

0.3, 1/3, 2/5, 1/2, 0.6

Step-by-step explanation:

Answer:

ok first lets make them all decimals

1/2=0.5

1/3= 0.3333333

2/5= 0.4

ok now we got 0.5, 0.33333, 0.4,  0.6,   0.3,

now lets also add zeros to the back to make it a more clear picture

0.50, 0.33, 0.40, 0.60, 0.30 ok now put the in order

0.30 , 0.33, 0.40, 0.50, 0.60

Step-by-step explanation:

The annual rate of interest is 1.479%.

Step-by-step explanation:

Given,

Principle (P) = $500

Interest (I) = $51.76

Time (T) = 7 years

To find out the rate of interest (R).

Formula

Simple interest (I) = [tex]\frac{PTR}{100}[/tex]

According to the problem,

[tex]\frac{PTR}{100}[/tex] = 51.76

or, R = [tex]\frac{51.76X100}{PT}[/tex]

or, R =  [tex]\frac{51.76X100}{500X7}[/tex]

= 1.4788 = 1.479% (approx)

Answer:

1.5%

Step-by-step explanation:

Principal, P = $500

Simple interest S.I. = $51.76

Period, T = 7 years

Simple interest = P*R*T / 100

Let's make rate, R the subject of formula

R = 100 * S.I. / P * T

Slot in the respective values

R = 100 * 51.76 / 500 * 7

R = 1.5%

Answer:

64

Step-by-step explanation:

32*2 = 64

Answer:

it will be 48

Step-by-step explanation:you have to multiply each number by 2

Answer:

10

Step-by-step explanation:

35= 1/2h(7)

1/2 of 7 is 3.5

3.5(10)=35

h=10

Answer:

Solve for h

35=1/2h (5+2)

Multiply (5+2) by 1 divided by 2, then we have

7/2h= 35

cross multiply

35 x 2h= 7

70h= 7

divide both sides by 70

h= 7/70

h= 1/10

Step-by-step explanation:

Answer:

Side WZ=9

Step-by-step explanation:

Since he two are similar you need to make a ratio of the two parallelograms

The first tells you side FE is 2 and side EH is 3 so write it like this 2/3.

Next you need to do the same thing with the second parallelogram, so you know side XW is 6 but you don't know side WZ so you'd write this one 6/x.

You can do this since FE is similar to XW, because it is the same shape just bigger.

Next you take the two fractions adn set them equal to each other.

2       6

_   =  _

3       x

Now cross multiply (2 timesx and 6 times 3)

It should look like this now

2x=18

Now all you have to do is divide by 2.

Answer:

Step-by-step explanation:

Solve simultaneously

-5x-3y=9

4x-187-54=0

4x=241

x=60.25

To get y

Substitute for x in equal one

-5(60.25)-3y=9

-301.25-3y=9

-3y=9+301.25

-3y=310.25

y=-103.4

Answer:

Angle 4 is the exterior angle

Step-by-step explanation:

Exterior mean "outside"

Angle 4 is the only angle outside of the triangle

Answer:

24 inches

Step-by-step explanation:

To find perimeter, simply add all the side lengths

10 + 8 + 6 = 24in

Thank me later :)

Answer:

[tex](a)=6\\(b)=1\ \frac {1}{2}\\(c)=1\ \frac {1}{2}\\d=6[/tex]

Step-by-step explanation:

(a)

3 ft long when divided into half ft each will be

3ft ÷1/2 ft

We change the ÷ to × then the second part is reciprocated hence

3ft÷1/2= 3ft×2/1=6 pieces

(b)

The question requires us to get the differences. Initially, Phil makes 3 quarts of soup but the family takes only half of the original quantity to mean Phil remains with the other half.

Therefore, half of 3 is 3×1/2=3/2= 1.5 or 1 1/2

(c)

Hiding 3 pounds of gold into two equal sections means 3 is divided by 2

3÷2=1.5 or 1 1/2

(d)

If half, 0.5 represent 3 cups then full quantity represent x

0.5=3 cups

1=x

By cross multiplication

1*3/0.5=6

Answer:

(A)

Step-by-step explanation:

A linear equation can be written in slope intercept form, [tex]y=mx+b[/tex].

X must be in it's first power in a linear equation. X being in any other power will result in a curved line.

This eliminates B, C and D already. X is not in it's first power in the given three options.

The best option is A.

Answer:

Father=60

Son=20

Step-by-step explanation:

Let the father's age be x

Let the son age be y

Present age of them

X+y=80...(1)

Since the father's age equals to the present age of the son

Y+y=40

2y=40....(2)

Make y the subject of formula by dividing both sides by 2

Y=20

Substitute the value for x into (1)

20+x=80

Substrate 20 from both sides

X=60

Therefore the father's age is 60 and the son's age is 20

Answer:

25

Step-by-step explanation:

Answer:

the answers B

Step-by-step explanation:

i got B

Answer:

Step-by-step explanation:

The theoretical probability is more than the experimental probability in this experiment

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the number of times the coin is flipped be n = 50

And , the number of times the heads is shown = 20 times

The number of times the tails is shown = 30 times

The theoretical probability of a coin being head or tail P ( A ) = 50 %

So , the experimental probability of being a head is P ( B ) = 20/50

P ( B ) = 40/100 = 40 %

Therefore , P ( A ) > P ( B )

Hence , theoretical probability is more

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ3

Answer:

(2,3) (5,0) (0,5)

Step-by-step explanation:

Plug the x values into the equation to find your y value.

Answer:

Step-by-step explanatio

Answer:

2.8

Step-by-step explanation:

1) find the mean of the data set. = 15

2) find the abs value of the diff between each data value and the mean: |data value – mean|.

|10-15|=5, |20-15|=5, |15-15|=0, |17-15|=2, |13-15|=2

3) find the sum of the abs values of the diff = 14

4) divide the sum of the abs value by the number of data values = 14/5 = 2.8

Final answer:

The approximate mean weight for babies born during the two months of August and September is calculated using a weighted average, and it is approximately 7.97 pounds.

Explanation:

To find the mean weight of the babies born during the two months, we can use the weighted average formula which takes into account the different numbers of babies born in each month and their respective mean weights.

The formula for the weighted mean is as follows:

Weighted mean = (Sum of weights × their respective frequencies) / (Total sum of frequencies)

Therefore, the approximate mean weight for the babies born during August and September is 7.97 pounds.

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

Explanation:

E = event space

E = set of outcomes we want to happen

E = rolling a multiple of 4 or rolling an odd prime number

E = {4,8,12,16     3,5,7,11,13}

n(E) = number of items in set E

n(E) = 9, (four multiples of 16+five ways to roll odd prime number)

-----

S = sample space

S = set of all possible outcomes (whether we want them to happen or not)

S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16}

n(S) = number of items in set S

n(S) = 16

-----

P(E) = probability of event space occurring

P(E) = probability of rolling a multiple of 4 or rolling an odd prime number

P(E) = n(E)/n(S)

P(E) = 9/16

P(E) = 0.5625

P(E) = 0.563

Answer:  lock down

Step-by-step explanation: f(x)= 8x2 + 5=21--> f(x)=21

g(x)= -2x5 - 4=-14--> g(x)=-14

f(2)+g(5) = 7

Step-by-step explanation:

Given,

f(x) = 8x+5

g(x) = -2x-4

To find f(2)+g(5)

Now,

f(2) means putting the value of x = 2 in f(x)

g(5) means putting the value of x = 5 in g(x)

f(2) = 8(2)+5 = 21

g(5) = -2(5)-4 = -14

Hence,

f(2)+g(5) = 21-14 = 7

Answer:

-x

Step-by-step explanation:

-6+[4-(x-2)]

Distribute the minus sign

-6+[4-x+2]

Combine like terms

-6+4 +2 -x

-x +0

-x

Answer:

k = 11  let me know if you don't understand how I got this.  

Step-by-step explanation:

I'm gonna write it out

 U V total

S  26 42 68

T   21 k 32

Total 47 53 100

So, you want to look at the column and row labeled total, this is the key.  for the row total, it sums up everything in the column above it.  so for the u column, the total value is 47 while the two values above it are 26  and 21.  These two values sum to 47.  This is the same for all other columns, and you can use the same reasoning with the total column as well summing rows.

This gives you two ways to solve for k.  either 21 + k = 32 or 42 + k = 53.  Either way gets you the answer k = 11

The value of k in the relative frequency table is 11%.

The ratio of the frequency of a particular event in a statistical experiment to the total frequency.

           U        V            total

S         26      42           68

T         21        k            32

Total   47       53          100

As, when we add the column data 26+ 21 = 47 which shows that the total consist of sum of column data.

So,  

21 + k = 32

k = 11

Learn more about relative frequency here:

https://brainly.com/question/16832475

#SPJ5

Answer:

the 3rd choice

Step-by-step explanation:

Answer:

The last one {(1, 2), (1, 3), (1, 1)}

Step-by-step explanation:

This is because the domain x is repeated. For a set of ordered pairs to be a function the domain can not repeat.

Answer:

d

Explanation:

You multiply the X by 3

Answer:

You would need .75 cups of water (or 3/4 cups) if there is only 1.5 cups of pancake mix left

Step-by-step explanation:

So the ratio of water to pancake mix is 2.75 : 3.5 (which makes 19 pancakes)

To get from 3.5 cups of pancake mix to 1.5 cups of pancake mix you would subtract 2 cups. Since this is a ratio, you would not only subtract 2 cups from the pancake mix, but also from the water. 2.75 - 2 = .75 Therefore, you would need .75 cups of water (or 3/4 cups) if there is only 1.5 cups of pancake mix left. Hope this helps!

Answer:

1 5/28 cups of water

Step-by-step explanation:

Water : pancake mix

2.75 : 3.5

X : 1.5

2.75/X = 3.5/1.5

X = 2.75 × 1.5/3.5

X = 33/28 or 1 5/28 cups