simplify the variable expression below as much as possible 4x - 4y + 7 - 1

Answer:

5 + 9 = 2(4 - 7.5) = No

Step-by-step explanation:

Add: 5 + 9 = 14

Conversion a decimal number to a fraction: 7.5 = 75/

10

= 15/

2

a) Write down the decimal 7.5 divided by 1: 7.5 = 7.5/

1

b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

7.5/

1

= 75/

10

Note: 75/

10

is called a decimal fraction.

c) Simplify and reduce the fraction

75/

10

= 15 * 5/

2 * 5

= 15 * 5/

2 * 5

= 15/

2

Subtract: 4 - 7.5 = 4/

1

- 15/

2

= 4 · 2/

1 · 2

- 15/

2

= 8/

2

- 15/

2

= 8 - 15/

2

= -7/

2

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(1, 2) = 2. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 2 = 2. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - four minus fifteen halfs = minus seven halfs.

Multiple: 2 * the result of step No. 3 = 2 * (-7/

2

) = 2 · (-7)/

1 · 2

= -14/

2

= -7 · 2/

1 · 2

= -7

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-14, 2) = 2.

In words - two multiplied by minus seven halfs = minus seven.

Compare: the result of step No. 1 vs the result of step No. 4 = 14 vs (-7) = No

Thank you...

Divide decimals- A. 2.1 B. 0.42 C. 0.31

Divide whole numbers- A. 23 B. 42 C. 31

Answer:

Yeah that seems good. ghg

Answer:

The length of side is 42.4 inches.

Step-by-step explanation:

Given that:

Diagonal of square = 60 inches

As all sides of a square are equal, thus

Side of square = x

The diagonal will be the hypotenuse of a right angled triangle.

Using Pythagorean theorem;

[tex]x^2+x^2=(60)^2\\2x^2=3600\\x^2=\frac{3600}{2}\\x^2=1800[/tex]

Taking square root on both sides

[tex]\sqrt{x^2}=\sqrt{1800}\\x=42.4[/tex]

Hence,

The length of side is 42.4 inches.

Answer:

X = -5.6

Step-by-step explanation:

This is a two step equation so you subtract 2.4 from both sides and then multiply 16.8 by -3 to get -5.6. HOPE THIS HELPS ! :)

Answer:

answer in picture

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

3 out of the ten beans are orange

3/10=30%

Answer:

The answer is 30%.

Step-by-step explanation:

There are 2 purple, 1 red, 4 yellow, and 3 orange jelly beans. If you add all those together, you will get 10. So, 3 out of the 10 jelly beans are orange. That is 3/10 in fraction form. 3/10 equals to 30%, so that is your answer.  

Answer:

what does the figure look like?

i need a reference picture in order to answer

sorry :/

Answer:

12 < x

Step-by-step explanation:

In writing 12 less than a number x, the expression, 12 - x is wrong because "less than" is not the same thing as "minus" (-). Rather, the sign, "<" should have been used as follows:

12 < x.

You need to find the WPM (words per minute) of each person.

Andre - 208 divided by 4 = 52

Noah - 342 divided by 6 = 57

You now know that Andre types 52 words per minute and Noah types 57 words per minute.

Answer: Noah types faster because he types 57 words per minute while Andre types 52 words per minute.

Answer:Noah types faster.

Step-by-step explanation: For Andre ,You do 208 divide 4 which gives you 52.For Noah, you do 342 divide by 6 which gives you 57.And since Noah  type more words which is 57  while Andre type 52, that means Noah types faster.

Hope it helps.

Answer:

The minimum score required for admission is 558.75.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Suppose SAT Critical Reading scores are normally distributed with a mean of 501 and a standard deviation of 110.

This means that [tex]\mu = 501, \sigma = 110[/tex]

A university plans to admit students whose scores are in the top 30%. What is the minimum score required for admission

This is the 100 - 30 = 70th percentile, which is X when Z has a pvalue of 0.7. So X when Z = 0.525. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.525 = \frac{X - 501}{110}[/tex]

[tex]X - 501 = 0.525*110[/tex]

[tex]X = 558.75[/tex]

The minimum score required for admission is 558.75.

Answer:

The time allotted is 46 minutes for an annual checkup and 29 minutes for a sick visit

Step-by-step explanation:

System of Equations

It's required to write and solve a system of equations to model the situation of Dr. Jensen. Let's call the following variables:

x = time allotted for annual checkups

y = time allotted for sick visit

Dr. Jensen has 3 annual checkups and 1 sick visit for a total of 167 minutes on her schedule, thus:

3x + y = 167      [1]

It's also given she has 1 annual checkup and 1 sick visit on her schedule for a total of 75 minutes, thus:

x + y = 75        [2]

We'll solve the system formed by equations [1] and [2] using the elimination method.

Subtract [1] and [2]:

3x - x = 167 - 75

2x = 92

Divide by 2:

x = 46

Substitute in [2]:

46 + y = 75

Subtract 46:

y = 75 - 46 = 29

y = 29

The time allotted is 46 minutes for an annual checkup and 29 minutes for a sick visit

Answer: x=18

Step-by-step explanation: 16-18=-2

Good luck! :)

Answer: -18

Step-by-step explanation:  16-x = -2

x = -16-2      [16 changes to -16 when transferred to RHS]

x = -18

Hope it helped u,

mark as the brainliest

^_^

Answer:

4/9 of a gallon.

Step-by-step explanation:

Given that Bill has 2/3 of a gallon of juice in his container, and he pours out 2/9 to his brother, to determine the expression that will yield the amount of juice left in the container, the following calculation must be performed:

2/3 - 2/9 = X

2/3 = 6/9

6/9 - 2/9 = X

4/9 = X

So after serving his brother juice, Bill has 4/9 of a gallon of juice left.

Answer:

Area of circle = 50.24 units

Option J is correct answer.

Step-by-step explanation:

We need to find the area of a circle with centre  (2, 3) that passes through (2,7)

The formula used to find area of circle is:

[tex]Area\: of\: circle=\pi \:r^2[/tex]

We need to find radius.

The radius can be found using the distance between points (2,3) and (2,7)

The The distance formula is: [tex]Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Putting values and finding length

We have: [tex]x_1=2, y_1=3, x_2=2, y_2=7[/tex]

Putting values and finding distance

[tex]Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance = \sqrt{(2-2)^2+(7-3)^2}\\Distance = \sqrt{(0)^2+(4)^2}\\Distance = \sqrt{0+16}\\Distance = \sqrt{16}\\Distance = 4[/tex]

So, we found Distance = 4

Therefore, the radius of circle is 4

Now, finding area:

[tex]Area\: of\: circle=\pi \:r^2\\Area\: of\: circle=3.14\times (4) ^2\\Area\: of\: circle=3.14\times 16\\Area\: of\: circle=50.24 \:units[/tex]

So, Area of circle = 50.24 units

Option J is correct answer.

Answer: 0.7, 0.2, 0.1

Step-by-step explanation:

For this question, you have to convert each of the fractions into decimals.

You can directly convert 7/10 into a decimal, this is 0.7

You cannot directly convert 1/5 into a decimal, so you have to convert it into tenths first.

To do this, multiply the numerator and denominator by 2

1 x 2 = 2

5 x 2 = 10

2/10

Now you can convert 2/10 directly into a decimal, this is 0.2

And finally you can convert 1/10 into a decimal, this is 0.1

hope this helps :)

Answer:

Hi! The correct answer is 0.7, 0.2, 0.1!

Step-by-step explanation:

I answered this so you can give the other person brainliest! Have a nice day!

Answer:

the answer is 31/10

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

Solution :

4+5=3-1t+5

⇒t+1=0

⇒t= -1

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

Work Shown:

18% = 18/100 = 0.18

18% of 24 = 0.18*24 = 4.32

The tip is $4.32

Adding this tip amount onto the original bill leads to 4.32+24 = 28.32

-------------

As a slight shortcut, we can use the multiplier 1.18 to get

1.18*24 = 28.32

This works because

1.18*24 = (1+0.18)*24 = 1*24 + 0.18*24 = 24 + 0.18*24

Notice the portion "24 + 0.18*24" can be found buried in the 1.18*24 expression. I applied the distributive property.

The multiplier 1.18 represents an increase of 18%

We can think of it as

100% + 18% = 1+0.18 = 1.18

Answer:

x = 3

Step-by-step explanation:

j(x) = 4/5(-5) + 7

= -4 + 7

= 3

Step-by-step explanation:

It's the seccond one, the first one doesnt go through the origin (0,0) while the second one does, making it unporportional

Answer:

769.6902 (or 769.3) cubic feet of water

Step-by-step explanation:

πr^2

r = 7

5 x π(7)^2 = 769.6902 (or 769.3 using 3.14)

Answer:

7.47

Step-by-step explanation:

multiply by 2

divide by 10

cool trick to find out how much to tip

Answer:

$7.47

Step-by-step explanation:

Answer:

(5,4)

Step-by-step explanation:

-x+2y=3

3x-2y=7

Add the like terms( 2y and -2y)(-x and 3x)(3 and 7) together. Do this vertically. 2y and -2y cancel eachother out.

Divide both sides by 2

To find y, substitute x in for y in one of the equations

add 5 to both sides

Divide both sides by 2

Check:

Answer:

look it up

Step-by-step explanation:

Answer:

2x > x

21x < 80

Step-by-step explanation: