How to subtract 4/5 and 3/10 in simplest form

The robot beer company produces [tex]\fbox{\bf1325.5}[/tex] cases in one day.

Further explanation:

Given:

There is a robot beer factory that produces 132554 cases in 100 days.

Calculation:

As it is know that m objects produces [tex]x[/tex] cases in [tex]n[/tex] days, then [tex]m[/tex] objects produces cases in 1 day is [tex]\dfrac{x}{n}[/tex].

As it is given that the robot beer factory that produces 132554 cases in 100 days.

That means robot factory has total 132554 case which is produced by the worker of this company in 100 days.

Then the robot beer factory produces [tex]x[/tex] cases in 50 days is,

[tex]\begin{aligned}x&=132554\times\frac{{50}}{{100}}\\&=66277\\\end{aligned}[/tex]

That means if the robot beer company works for 50 days then the company produces 66277 cases which is the half of the 132554 cases as the number of days reduces to half.

The robot beer factory produces [tex]x[/tex] cases in 1 days is,

[tex]\begin{aligned}x&=132554\times\frac{1}{{100}}\\&=1325.54\\\end{aligned}[/tex]

That means if the robot beer company works for 1 days then the company produces 1325.54 cases which is the one hundredth of the 132554 cases as the number of days reduces to hundred times.

Since, we have to round the cases up to one decimal, the robot beer company produces [tex]\fbox{\bf1325.5}[/tex] cases in one day.

The robot beer company produces [tex]\fbox{\bf1325.5}[/tex] cases in one day.

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Answer detail:

Grade:Middle school

Subject:Mathematic

Chapter: Time and Work

Keywords:robot, factory, beer, 132554, cases, 100, days, 1, time, work, ratio, multiplication, division, 1325.54, 1325.5, produces.

Factory produces 1325.5 cases to the nearest tenth in 1 day.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

Number of cases produced by factory = 132,554

Number of days = 100 days

Thus, Number of cases produce in 1 day = Number of cases produced / Number of days

⇒ Number of cases produce in 1 day =  132,554/100

⇒ Number of cases produce in 1 day =  1325.54

Round to nearest tenth, We look at the second decimal place which is 4

that is less than 5 so we leave the tenth place alone

⇒ Number of cases produce in 1 day =  1325.5

Thus, Factory produces 1325.5 cases to the nearest tenth in 1 day.

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Final answer:

To solve the equation R=5(CA−0.3) for C, divide both sides by 5, add 0.3 to both sides and then divide by A.

Explanation:

To solve the equation R = 5(CA - 0.3) for C, you would first divide both sides of the equation by 5 to isolate the (CA - 0.3) term on one side:

R / 5 = CA - 0.3

Next, you would add 0.3 to both sides of the equation to get CA by itself:

(R / 5) + 0.3 = CA

Finally, to solve for C, you would divide the entire equation by A, assuming A is not zero:

C = [(R / 5) + 0.3] / A

Answer:

6 Because it crossed the X-Axis.

Step-by-step explanation:

The slope of the line −4x + 7 = 2y − 3 is 2.

To find the slope of the line, we need to rewrite the equation in the form y = mx + b, where m represents the slope.

Start by rearranging the given equation:

−4x + 7 = 2y − 3

Add 4x to both sides:

7 = 2y − 4x − 3

Combine like terms:

7 = 2y − 4x − 3

Now, isolate the y variable:

2y = 4x + 10

Divide both sides of the equation by 2:

y = 2x + 5

The equation is now in the form y = mx + b.

So, the slope of the line is 2.

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Answer: [tex]0.6\ g/cm^3[/tex]

Step-by-step explanation:

We know that the formula to find density is given by :_

[tex]\text{Density}=\dfrac{\text{Mass}}{\text{Volume}}[/tex]

Given : Mass of block of wood = 120 g

Volume = [tex]200\ cm^3[/tex]

Then, the density of wood is given by :_

[tex]\text{Density}=\dfrac{120}{200}=0.6\ g/cm^3[/tex]

Hence, the density of wood = [tex]0.6\ g/cm^3[/tex]

Answer:

The answer is m∠ M'N'O' = m∠MNO

Step-by-step explanation:

If the Angle MNO is rotated 90 degrees counterclockwise about the origin. The new angle formed by ' will be the same as the rotation doesn't alter neither the shape or size of the figure. Therefore, we can conclude that MNO and M'N'O' are congruent (Same lenght and angle).

Answer:

The correct answer is C- (0,4)

Step-by-step explanation:

edge 2021

The y-intercept of the given graph is (0,4).

The y-intercept is the point where the graph intersects the y-axis.

Given a graph, where a straight line is intersecting x-axis at -2 and y-axis at 4.

So, x-intercept = (-2,0)

y-intercept = (0,4)

Hence, The y-intercept of the given graph is (0,4).

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The length of each edge of the cube is 2 in.

Given:

Volume of cube = [tex]8 in.^{3}[/tex]

*image of a cube is shown in the attachment.

Recall:

Formula for volume of a cube is given as:

[tex]V = a^{3}[/tex]

where,

[tex]a =[/tex] length of each edge of the cube

[tex]V = 8[/tex]

Plug in the value into the formula to find a.

[tex]8 = a^{3}\\\sqrt[3]{8} = \sqrt[3]{a^{3} } \\2 = a\\a = 2[/tex]

Therefore, the length of each edge of the cubes is 2 inches.

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Answer:The number of bacteria in petri dish A is 4000 times greater than petri dish B.

Step-by-step explanation:

Culture of bacteria in petri dish A=[tex]1.08\times10^{15}[/tex]

Culture of bacteria in petri dish B=[tex]2.7\times10^{11}[/tex]

Dividing culture of bacteria in petri dish A bu culturebacteria in petri dish B ,we get

[tex]\frac{1.08\times10^{15}}{2.7\times10^{11}}=\frac{108\times10^{15-11}}{270}\\\\=\frac{108}{270}\times10^{4}=0.4\times10^4=4000[/tex]

Therefore, the number of bacteria in petri dish A is 4000 times greater than petri dish B.

she drew stripes on 1/2 of the 3/5 colored art

1/2 * 3/5 = 3/10 of the rectangle is striped

Answer:

Each person spent $10.

Step-by-step explanation:

Let the money spent by each friend = $x

Number of persons including Donovan = 4

Total amount spent by all friends all together = $4x

Since each spent half of their money on rides so amount spent on rides = [tex]\frac{4x}{2}[/tex] = $2x

Then they each spent $3 on food so total money spent = $(2x + 12)

Remaining money = $8

Now the equation will be

$4x - $(2x + 12) = $8

4x - 2x - 12 = 8

2x - 12 = 8

2x = 12 + 8

x = $10

Therefore, each friend spent $10.

To find out how much each person spent, we formulate a math equation representing each person's spending and savings, solve for the initial amount, and then subtract the remaining money.

Let's start by stating the problem clearly. Donovan and three friends go to a fair. They each spend 1/2 of their money on rides. Then, each spends $3 on food. At the end of the day, they have a total of $8 remaining. To find out how much they each spent, we need to first work out the total amount of money they started with. Let's denote each friend's initial amount of money as X.

They each spend X/2 on rides and $3 on food. So at the end of the day, each has X - X/2 - 3 left. Sum this for Donovan and three friends and set this equal to $8. Therefore 4(X - X/2 -3) = $8. This equation can be used to solve for X, thus letting us know how much money each of them started with. See how much each spent by subtracting the remaining $2 (because $8 total remaining ÷ 4 = $2 per person) from this amount.

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Answer:

419

Step-by-step explanation:

Regrouping in subtraction: If we borrow from one group (tens group) and give to another (Once group) so that the operation can be completed, then this process is called regroup.

For example: We need to find the value of 52-39

[tex]52=50+2[/tex]

[tex]39=30+9[/tex]

We can not subtract 9 from 2. So we will borrow 10 from 50 and give to 2.

[tex]52=40+12[/tex]

Now,

[tex]52-39=(40+12)-(30+9)[/tex]

[tex]52-39=(40-30)+(12-9)[/tex]

[tex]52-39=(10)+(3)[/tex]

[tex]52-39=13[/tex]

We need to find the greatest 3 digit number that can subtract from 426 so that we need to regroup.

To use regroup, the once digit must be more that 6. So, maximum value for once place is 9.

Therefore, the greatest 3 digit number that can subtract from 426 by using regroup is 419.

To write 'Five less than the product of a number n and 26 is at least 8', we can use an inequality to represent the given information.

To write "Five less than the product of a number n and 26 is at least 8", we can use an inequality to represent the given information. The word "less than" suggests the use of the less than symbol '<'. 'Product' means multiplication, so we have n * 26. The word 'is' indicates the use of the equal sign '=', and 'at least' means greater than or equal to, so we use the greater than or equal to symbol '>='. Combining all the information, the equation becomes:

n * 26 - 5 >= 8

Using this equation, you can find the value of n that satisfies the inequality.