Simplify the following expression
4[7+2/3-2(3/5)]

Answers

Answer 1

Answer:  Add 7+ [tex]\frac{2}{3}= \frac{7}{1} + \frac{2}{3} = \frac{7.3}{1.3} + \frac{2}{3} = \frac{21.2}{3} = \frac{23}{3}[/tex] 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, 3) = 3. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 3 = 3. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - seven plus two thirds = twenty-three thirds.

Multiple: 2 * [tex]\frac{3}{5} = \frac{2.3}{1.5} = \frac{6}{5}[/tex] Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(6, 5) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - two multiplied by three fifths = six fifths.

Subtract = [tex]\frac{23}{3} - \frac{6}{5} = \frac{23.5}{3.5} - \frac{6.3}{5.3} = \frac{115}{15} - \frac{18}{15} =\frac{115 - 18}{15}[/tex]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(3, 5) = 15. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 5 = 15. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - twenty-three thirds minus six fifths = ninety-seven fifteenths.

Multiple: 4 Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(388, 15) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - four multiplied by ninety-seven fifteenths = three hundred eighty-eight fifteenths.

Step-by-step explanation:

hope this helps


Related Questions

In Dylan's grade, there are 80 students. Currently, 40% of them are enrolled in health. How many students are enrolled in health?

Answers

32 students

Please mark brainliest !

Answer:

32

Step-by-step explanation:

Convert 40 percent to a decimal, which is 0.4, then multiply 0.4 with 80 and you get 32.

please help i’ll mark u

Answers

Answer:

4:12

4/12

4 to 12

plz help me. I'm confused on hw​

Answers

Answer: Yes by SAS

Why: they have two equal sides makes by the dashes and two 90 degree angles in the same places on both triangles meaning that the other side next to the 90 degree angle had to be equal as will

Hope this helps :D

A family goes to a restaurant. When the bill comes, this is printed at the bottom of it:
Gratuity Guide showing 15%=4.89, 18%=5.87, and 20%=6.52

How much was the price of the meal?

Someone help I need the answer immediately.

Answers

The price of the meal is $32.60 I think
15% of x = $4.89
0.15x = 4.89
x = $4.89/0.15 = $32.60

use the sumilar triangles to find the value of the missing side b​

Answers

side b = 4

16/24= 2/3
B= 6 X 2/3
= 4

1. A recipe for 6servings of Lasagna uses 16 ounces of Italian Sausage.

a. If the recipe were to be made for 15 servings, how many ounces of Italian Sausage would be needed?

b. How many servings of Lasagna can be made with 24 ounces of Italian Sausage?

Answers

Answer:

a)  40 oz

b)  64 oz

Step-by-step explanation:

a) you can use the ratio of 6/16 = 15/x and cross-multiply

b) you can use the ratio of 6/16 = 24/x and cross-multiply

How many solutions does the system have?
You can use the interactive graph below to find the answer.
y = 3x + 3
y = -2x + 3
Choose 1 answer:
Exactly one solution
B
No solutions
Infinitely many solutions

Answers

This system has exactly one solution.

Please help with my question

Answers

Answer:

[tex]5\frac{5}{6}[/tex]

Step-by-step explanation:

The problem above requires the use of mathematical operation with mixed fractions. In order to do this, you have to convert the mixed fractions into improper fractions first.

Let's convert.

[tex]3\frac{1}{2}[/tex] = [tex]\frac{7}{2}[/tex][tex]1\frac{2}{3}[/tex] = [tex]\frac{5}{3}[/tex]

Next, you have to multiply the fractions by multiplying the numerators with each other and the denominators with each other.

Let's solve.

[tex]\frac{7}{2}[/tex] x [tex]\frac{5}{3}[/tex] = [tex]\frac{35}{6}[/tex]

Since [tex]\frac{35}{6}[/tex] is an improper fraction and the choices above are mixed fractions, you have to convert it.

Let's convert.

[tex]\frac{35}{6}[/tex] = [tex]5\frac{5}{6}[/tex]

Therefore, the answer is [tex]5\frac{5}{6}[/tex]

ABC is a three digit number where each number represents a different digit. If A < C what is the greatest possible number?

Answers

Answer:

879

Step-by-step explanation:

Because C is greater than A, C has to be the largest possible number so that A can be as large as possible. because C is the largest possible number, which is 9, the next largest number is 8, which in this case is A. The next biggest number is 7 which is B.

To sum it all up, the number is 879.

Can someone help me with these 2 questions please???

Answers

Answer:

See step-by-step explanation.

Step-by-step explanation:

For the first question, you simply put an EMPTY circle above 2 and draw an arrow from it all the way down to -3. The reason why we put an empty circle is because there is no equal sign below it.

For the second question, you put a FILLED circle above 4 and draw an arrow from it all the way down to -3. The reason why we use a filled circle is because x is less than OR equal to 4.

how can you find the area of a circle? give me a good explanation please, ty!​

Answers

Answer:

The area of a circle is pi times the radius squared (Area = pi radius²).

Step-by-step explanation:

The circumference of a circle is the linear distance of a circle's edge. It is the same as the perimeter of a geometric figure, but the term 'perimeter' is used exclusively for polygons.

The following equation describes the relation between the circumference and the radius R of a circle:

C = 2πR

Where π is a constant approximately equal to 3.14159265..

How to find the circumference of a circle

Determine the radius of a circle. Let's assume it's equal to 14 cm.

Substitute this value to the formula for circumference: C = 2 * π * R = 2 * π * 14 = 87.9646 cm.

You can also use it to find the area of a circle: A = π * R² = π * 14² = 615.752 cm².

Finally, you can find the diameter - it is simply double the radius: D = 2 * R = 2 * 14 = 28 cm.

Use our circumference calculator to find the radius when you only have the circumference or area of a circle.

Answer:

Use this formula: A = π r²

Step-by-step explanation:

A = π r²

What does A = π r² mean? :

(Area = Pi x Radius²)

π = Pi (3.14)

² = squared

Hope this helps! :)

Find the degree measure of the indicated angle.
?
40°
80°

Answers

Answer:

60

because you need to add the number to get 180 so I would be 80+20 = 120+60=180 I hope it helps!

The graph below represents a function.

what are the rate of change and the initial value of the function represented by the graph

A.the rate of change is 3 and the initial value is 5

B.the rate of change is 1/3 and the initial value is 5

C.the rate of change is 5 and the initial value is 3

D.the rate of change is 5 and the initial value is 1/3​

Answers

Answer:

B

Step-by-step explanation:

Fill in the missing statements and reasons in the proof:

Answers

Answer:

2. definition of congruence

Step-by-step explanation:

sorry I just know that one

Graph the line that passes through the points (-4, 6) and (-8,5) and determine the equation of the line.​

Answers

Y=mx+c
For this one you compare the difference between each point.
When x=-4 y=6
And when x=-8 y=5
So when x=0 y=7 therefore substitute c with 7
So y=mx+7
6=m x -4 +7
-1=m x -4
m=-1/4
Answer: y=-1/4x+7

hayden and jamie completed 20 math problems together, jamie completed 2 more than twice the number that hayden completed. Let p represent the number of math problems hayden completed. Write an equation that can be used to find the number of math problems that jamie completed.

Answers

Answer:

2p+2+p = 20

Step-by-step explanation:

Let p represent the number of Math problems Hayden completed.

Let 2p+2 represent the number of Math problems Jamie completed.

Next, we have to add them together so that the total Math problems they completed will be equal to 20.

Let's solve.

2p+2+p = 203p+2 = 203p = 20-23p = 18p = [tex]\frac{18}{3}[/tex]p = 6

Therefore, Hayden completed 6 Math problems.

Next, we have to get how many problems Jamie completed.

Let's solve.

2p+2 = ?2(6)+2 = ?12+2 = ?14

Therefore, Jamie completed 14 Math problems.

Let's check.

2p+2+p = 2014+6 = 2020 = 20

It's correct!

What best describes the expression y over 4? (5 points)
a. Some number divided by 4
b. Some numbers times 4
c. 4 more than some number
d. 4 less than some number

I prefer you 100% know the answer and not “think” this is very important!!

Answers

A because it would be y divided by 4 and you would solve for what y is

Answer:

a

Step-by-step explanation:

Let C be the first quadrant portion of the circle of radius 3 centered on the origin. Find the line itegral for x^2+y^2 over C.

Answers

YX equals +2 squared minus -17 is approximately the answer of the origin


Plz guys help I need help

Answers

The answer would be 56 pounds
56 pounds your welcome

If y = 24 when x = 6, find y when x = -4 answer

Answers

Answer:

-16

Step-by-step explanation:

24/6 = y/-4

6y = -96   cross multiply

y=-16

Vertical Angles
Find the unknown angles.

i don't know how to do these help me understand please. its probably super easy just give a me a formula or something​

Answers

Answer:

1. m<2 = 115 °

2. m<5 = 83 °

3. m<8 = 45 °

4. m<4 = 137 °

Step-by-step explanation:

1. Determination of m<2

m<1 = 115 °

m<2 =?

m<2 = m<1 (vertically opposite angles are equal)

m<2 = m<1

m<2 = 115 °

2. Determination of m<5

m<6 = 83 °

m<5 =?

m<5 = m<6 (vertically opposite angles are equal)

m<5 = m<6

m<5 = 83 °

3. Determination of m<8

m<9 = 45 °

m<8 =?

m<8 = m<9 (vertically opposite angles are equal)

m<8 = m<9

m<8 = 45 °

4. Determination of m<4

m<3 = 137 °

m<4 =?

m<4 = m<3 (vertically opposite angles are equal)

m<4 = m<3

m<4 = 137 °

Decide whether a discrete or continuous random variable is the best model for each of the following variables:

a. The time for a computer algorithm to assign an image to a category.
b. The number of bytes used to store a file in a computer.
c. The ozone concentration in micrograms per cubic meter.
d. The ejection fraction (volumetric fraction of blood pumped from a heart ventricle with each beat).
e. The fluid flow rate in liters per minute.

Answers

Answer:

a) Continuous

b) Discrete

c) Continuous

d) Continuous

e) Continuous

Step-by-step explanation:

Discrete variable:

Countable amounts(0, 1, 2, 3,...)

Continuous variables:

Can be decimal values.

a. The time for a computer algorithm to assign an image to a category.

Time can have decimal values, so continuous

b. The number of bytes used to store a file in a computer.

The number of bytes is never decimal, so discrete

c. The ozone concentration in micrograms per cubic meter.

Can be decimal value, so continuous

d. The ejection fraction (volumetric fraction of blood pumped from a heart ventricle with each beat).

Can be decimal value, so continuous

e. The fluid flow rate in liters per minute.

Can be decimal value, so continuous

The tide is the regular rising or falling of the ocean’s surface. This is due in large part to the gravitational forces of the moon. The following table represents water level of the tide off the coast of Kings Point, N.Y., for a 24 hour period, February 9th through February 10th of 2009.

Hour
Measurement in feet above the average low tide
0
-0.98
2
5.83
4
7.78
6
7.34
8
2.33
10
-0.47
12
-0.21
14
5.32
16
8.83
18
8.31
20
3.80
22
-0.28
24
0.53

Plot the data points given in the table using hour as the independent variable. Does this data indicate that a sine regression may be appropriate in this case? Explain.
a.
Yes, in the scatterplot the wavelike behavior is apparent although not precise.
b.
Yes, the scatterplot shows an increase over time.
c.
No, there is no correlation between the points.
d.
No, the scatterplot depicts a hyperbole.

Answers

Answer:

Option A

Step-by-step explanation:

Points plotted.

See the graph attached.

Correct choice is:

A. Yes, in the scatterplot the wavelike behavior is apparent although not precise

OPTION A

#CcarryOnLearning

Four friends go to dinner. Each chooses a different meal. When the check comes, they decide they will each pay the same amount. If the costs of the meals (including tax and tip) were $12.20, $11.00, $8.50, and $7.50, what should each friend pay so they cover the whole bill?​

Answers

Answer: Each friend should pay $9.80

Step-by-step explanation: First add up all their checks, then divide them by 4 (4 because there 4 friends) to get the amount each friend needs to pay.

$12.20 + $11.00 + $8.50 + $7.50= $39.20

39.30 / 4 = $9.80

Consider a student loan of $22,500 at a fixed APR of 9% for 30 years.
a. Calculate the monthly payment.
b. Determine the total amount paid over the term of the loan
c. Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest.
a. The monthly payment is 5
(Do not round until the final answer. Then round to the nearest cent as needed.)
b. The total payment over the term of the loan is s
(Round to the nearest cent as needed.)
c. Of the total payment over the term of the loan, % is paid toward the placipal and % is paid toward interest.
(Round to the nearest tenth as needed)

Answers

Answer:

Lo averiguaste, lo siento, amigos míos, por haberlos ayudado. pero la respuesta es 456 $.

Step-by-step explanation:

Build me a 100ft roller coaster ride using math?

Answers

Is this a question? I need more info

How do you covert 40% into a fraction ?

Answers

Answer:

2/5

Step-by-step explanation:

8 (3x-6) = 6(4x + 8)

Answers

Answer:

There is no solution to make it true.

Step-by-step explanation:

First you expand
24x - 48 = 24x + 48
Then you cancel 24x on both sides
-48 = 48
Since -48 = 48 is false , there is no solution

can anyone pls help me with this question I'm stuck ​

Answers

Answer:

I think 24

let b=3

l=4

and h=2

Answer:

864

Good luck!

3(2x - 1) + 7 = -44 solve for x

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

answer is x =-8

hope that helps^^

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