Solve four and six eighths minus two and three fifths.

(GIVING EXTRA POINTS AND GIVING BRAINLIEST!!)

A) one and six thirteenths

B) one and three fortieths

C) two and six fortieths

D) two and three thirteens

(Here is an image if needed) :

Answer:

Blueprint width of window = 1.5 in

Step-by-step explanation:

Missing;

Ratio model

3 in : 5 ft

Given:

Actual width of window = 2.5 feet

Find:

Blueprint width of window

Computation:

Blueprint width of window = Actual width of window x (3 in / 5 ft)

Blueprint width of window = 2.5 ft x (3 in / 5 ft)

Blueprint width of window = 1.5 in

The value of c in the polynomial is - 7.

The polynomial is given as follows:

p(x) = 2x³ - x² +  cx + 2 . The value of c if x - 2 is a factor of p(x) can be computed as follows:

Therefore,

p(x) = 2x³ - x² +  cx + 2

when x - 2 is a factor, p(x) = 0

Therefore,

0 = 2x³ - x² +  cx + 2

Hence,

2(2)³ - (2)² +  2c + 2 = 0

16 - 4 + 2c + 2 = 0

12 + 2 + 2c  = 0

2c = - 14

divide both sides by 2

c = - 14 / 2

c = - 7

Therefore,

c = -7

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Answer:

B, C, and D

Step-by-step explanation:

A is false, and the other 3 are true

A single basin of dry rice and beans 20 cups One bag of 40 basins 100 kilogrammes of rice is included in a sack.

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Option B has more, if you want to have mathematical work just set each of the square side lengths to 1. In the first figure, you have 4 units square for each square so 2 units sq on the first and 4 on the second. Then since the other shapes are half circles or 1/4 circles we can put them together to get full and partial circles. The first shape had 2 full circles and the second shape has 1.5. SO using 1 as the radius, you get 3.14 units sq per circle. Leaving you with (circles) 6.28 + (squares) 2 leaving you with 8.28 units sq for figure 1 and (circles) 4.71  + (squares) 4 leaving you with 8.71 for figure 2. This leaves you with a .43 difference. Hope this helps

Answer:

The areas of all 3 shaded regions are equal: about 30.96 square units (144 - 36π square units). The area of the entire square is 144 square units, because 12⋅12=144. The area of the 1 large circle is approximately 113.04 square units, because 3.14⋅62=113.04. The area of the 4 medium circles is also 113.04 square units, because 3.14⋅32=28.26, and 28.26⋅4=113.04. The area of the 9 small circles is also 113.04 square units, because 3.14⋅22=12.56, and 12.56⋅9=113.04.

Step-by-step explanation:

Answer:

0.2875 or rounded to 0.29

Step-by-step explanation:

Answer:

0.2875

All you have to do is divide

(1.5)x + 1.5 = 30 and 1.5x = 28.5 are the correct equations that Beverly could use to determine how many marbles are in the bag.

Let x be the number of marbles in the bag.

Each marble weighs 1.5 grams and the bag weighs 1.5 grams.

Therefore, the total weight of the marbles and the bag is 1.5x + 1.5 grams.

But we know that the total weight is 30 grams.

So, we can write the equation:

1.5x + 1.5 = 30

Simplifying this equation, we get:

1.5x = 28.5

Therefore, the number of marbles in the bag is x = 19.

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Answer:

20

Step-by-step explanation:

1:0.8 is 5:4. 16 is the 4 and so the 5 is 4(1)x5 = 20.

Answer:

For Half of Devon's Time you would put 172 divide by 2 equals 186. For comparison:

kelvin 223>86

Lori 55<86

Vanessa 265>86

Celia 112>86

Arnold 356>86

Step-by-step explanation:

Answer:

10x+22+7x+1=142

17x+23=142

17x= 119

x= 7

Angle A= 7(7)+1= 50

Angle B= 10(7)+22= 92

Angle BCD= 142= given

Step-by-step explanation:

Answer:

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}\\\)

From the question we have

\(m = \frac{7 - 1}{17 - 16} = \frac{6}{1} = 6 \\ \)

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

Answer:

The slope of line is 1

Step-by-step explanation:

We need to find slope of line given points (16,1),(17,7)

The formula used to find slope of line is: \(Slope=\frac{y_2-y_1}{x_2-x_1}\)

We are given:

\(x_1=16, y_1=1, x_2=17 \ and \ y_2=7\)

Finding slope using formula:

\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{7-6}{17-16}\\Slope=\frac{1}{1}\\Slope=1\)

So, the slope of line is 1

Answer:

Step-by-step explanation:

by synthetic division

3) 1   -1   -11    15

|       3     6   -15   (add)

____________

   1     2    -5 |0

x²+2x-5=0

\(x=\frac{-2 \pm\sqrt{2^{2} -4*1*-5} }{2*1} \\or~x=\frac{-2 \pm\sqrt{4+20} }{2} \\or~x=\frac{-2 \pm2\sqrt{6} }{2} \\or ~x=-1 \pm \sqrt{6}\)

Answer:

The passenger train is traveling at 45 mph, and the freight train is traveling at 27 mph.

Step-by-step explanation:

Let's assume the speed of the passenger train is represented by x mph.

According to the given information, the freight train leaves the depot 2 hours before the passenger train. Therefore, when the passenger train starts, the freight train has already been traveling for 2 hours.

Let's represent the speed of the freight train as (x - 18) mph, which is 18 mph slower than the passenger train.

Now, we know that the passenger train overtakes the freight train in 3 hours. This means that the passenger train traveled for 3 hours, while the freight train traveled for 3 + 2 = 5 hours.

Since speed = distance/time, we can set up the following equation based on the distances covered by each train:

Distance covered by passenger train = Distance covered by freight train

Using the formula, distance = speed × time, we get:

x × 3 = (x - 18) × 5

Simplifying the equation:

3x = 5x - 90

90 = 5x - 3x

90 = 2x

Dividing both sides by 2:

45 = x

So, the speed of the passenger train is 45 mph.

The speed of the freight train is 45 - 18 = 27 mph.

The true statement is; II. Option D

From the information given, we have that;

I. The set of all second-degree polynomials with the standard operations is a vector space

II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space

III. The set of second quadrant vectors with the standard operations is a vector space

Note that;

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Answer:

A function is a relation in which the members of the domain (x-values) DO NOT repeat. So, for every x-value there is only one y-value that corresponds to it.

Step-by-step explanation:

If domain does not repeat , then it is a function.

" Function is defined as when for each input (domain) there exist one and only one output(range)."

According to the question,

Suppose y = ax +b is a given function

x is independent variable

y is dependent variable

For each value of x there exist one and only one value of y , then it is considered as function.

All input values represents domain.

Hence, if domain does not repeat , then it is a function.

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Answer:

8 units, 3 units, √73 units

16 units, 30 units, √50 units

Step-by-step explanation:

Given the above side lengths of a triangle, to determine which triangles are right triangles, we would make use of the Pythagorean theorem which holds that the sum of the square of two smaller legs of a right triangle would give us the square of the length of the longest leg.

That is a² + b² = c²

Thus, let's check each options given.

Let c be the 3rd units given in each option, which is the longest leg.

Option 1:

c² = 8² + 15²

c² = 64 + 225 = 289

c = √289 = 17

∆ with lengths 8 units, 15 units, √75 units is not a right triangle because c ≠ √75, from calculation.

Option 2:

c² = 8² + 3²

c² = 64 + 9 = 73

c = √73 units

∆ with lengths 8 units, 3 units, √73 units is a right triangle because c = √73 from calculation

Option 3:

c² = 16² + 30²

c² = 256 + 900 = 1156

c = √1156 = 34

∆ with lengths 16 units, 30 units, √50 units is not a right triangle because c ≠ √50 units from calculation.

Option 4:

c² = 5² + 7²

c² = 25 + 49 = 74

c = √74 units

∆ with lengths 16 units, 30 units, √50 units is a right triangle because c =  √74 units from calculation.

Therefore, based on the sets of side lengths given, the following are right triangles:

8 units, 3 units, √73 units

16 units, 30 units, √50 units

Answer:

8 units, 3 units, √73 units

16 units, 30 units, √50 units

Step-by-step explanation:

Answer:

Split up the interval [0, 3] into 3 equally spaced subintervals of length . So we have the partition

[0, 1] U [1, 2] U [2, 3]

The left endpoint of the -th subinterval is

where .

Step-by-step explanation:

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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Probabilities are used to determine the chance of an event.

The game is based on compound probability.

From the question, we have the following events.

When multiple events are involved in a probability, then such probability is a compound probability.

Hence, the game is based on compound probability.

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Answer:

(a)

Photo Lab Cost = 3.20 + 0.08X

Specialty Photos Cost  = 2.60 + 0.10X

(b) 30 prints is the number of prints needed for both costs to be the same

Step-by-step explanation:

Let X be the number of prints processed.  Noting that 8 cents is $0.08 and 10 cents is $0.10,

For Photo Lab, the equation for cost will be 3.20 + 0.08X

For Specialty Photos, the cost will be 2.60 + 0.10X

In order for both cost to be the same set both cost equations equal(break-even point)

2.60 + 0.10X = 3.20 + 0.08X

0.10X -0.08X = 3.20 -2.60

0.02X = 0.60

or

X = 0.60/0.02 = 30 prints

At prints developing photos at both shops will be the same and can be found by substituting for X in either equation

2.60 + 0.1(30) = 2.60 +  = $5.60

The value of k in the cuboid is 7 cm when the volume is 196cm³.

The space taken up by any three-dimensional solid constitutes a volume, to put it simply. They can be a cube, cuboid, cone, cylinder, or sphere.

The volumes of various shapes vary. In three-dimensional geometry, we have examined a variety of solids and shapes that are defined in three dimensions, including cubes, cuboids, cylinders, cones, etc. We are going to learn to calculate the volume for each of these shapes.

The volume of cuboid = l × b × h

Here,

4 × k × k = 196cm³

k² =  196/4

k² = 49

k = √49

k = 7

Thus, The value of k in the cuboid is 7 cm when the volume is 196cm³.

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The standard deviation of the scores of all the students in the class to be:

σ = √[(Σ(x - 80)2) / 50] = 11.18

The standard deviation of the scores of all the students in the class is calculated using the formula

σ = √[(Σ(x - μ)2) / N]

where μ is the mean of the scores and N is the total number of students in the class.

In this case, the total number of students in the class is 50 (30 from section 1 and 20 from section 2). Let's assume that the mean of the scores for all students is 80.

Therefore, the standard deviation of the scores of all the students in the class is calculated as follows:

σ = √[(Σ(x - 80)2) / 50]

In this equation, Σ(x - 80)2 is the sum of the squared differences between each student's score and the mean. We can calculate this sum by first finding the squared difference for each student and then adding them up.

For example, if the scores of the 30 students in section 1 are 86, 95, 78, etc., the squared differences will be (86 - 80)2 = 36, (95 - 80)2 = 225, (78 - 80)2 = 4, and so on. Adding all these squared differences will give us the sum of the squared differences for all the students in the class.

Finally, substituting this sum and the value of N (50) in the formula, we get the standard deviation of the scores of all the students in the class to be:

σ = √[(Σ(x - 80)2) / 50] = 11.18

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The correct total weight of the bags of granola is 8 1/4 pounds.

One thing that can be done to improve Roberto's reasoning is to ensure the accuracy of the calculations.

In his conclusion, Roberto added the weights of the bags of granola (2 1/2, 2 3/4, and 3) and claimed that the total weight was 8 1/4 pounds. However, the sum of these weights does not equal 8 1/4 pounds.

To address this, Roberto should recheck his calculations. Adding mixed numbers involves adding the whole numbers separately and then adding the fractions separately. In this case, 2 1/2 + 2 3/4 + 3 can be calculated as follows:

2 + 2 + 3 = 7 (sum of whole numbers)

1/2 + 3/4 = 2/4 + 3/4 = 5/4 = 1 1/4 (sum of fractions)

Thus, the correct sum is 7 + 1 1/4 = 8 1/4 pounds.

By double-checking the calculations and providing the accurate sum, Roberto's reasoning would be more precise, reliable, and free from errors.

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The probable question may be:

Roberto made a line plot to show the weight in pounds of the bags of granola in his store he concluded that the total weight of the granola was 2 1/2+2 3/4+3=8 1/4 pounds.

what is one thing that you could do to Roberto's Reasoning

Answer:

no it's not

Step-by-step explanation:

3% of 45,500 is 1455 which is less then 2,500 which also means 1.5% is not more then 2,500

Answer:

125 days

Step-by-step explanation:

1.) First, you need to make the number equivalent!

1.5L=1500mL

2.) Then you need to divide 1500mL by how much she drinks every day!

1500mL divide by 12mL = 125 days

So the carton will last 125 days

:) Hope you have a good day!

Answer:

the carton will last for 125 days

Step-by-step explanation:

carton contain 1.5L

1.5L= 1.5×1000ml

= 1500ml

1day=12ml

1/12 ×1500 days = 1500ml

125 days = 1500ml

If Ellis drink 12ml of yoghurt everyday then the carton with 1.5L will last for 125 days.

The degree of the polynomial is 14

The polynomial is given as:

y^2+7x^14-10x^2

Here, we assume that the variable of the polynomial is x

The highest power of x in the polynomial y^2+7x^14-10x^2 is 14

Hence, the degree of the polynomial is 14

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Answer:

7:6

Step-by-step explanation:

add the amount of lemonade and soda together, that is 42.

so you have 42:36.

you need to simplify it, so you divide 42 / 2 = 21

then you divide 36 / 2 = 18.

so now you have 21:18.

then you divide 21 / 3 = 7

then you divide 18 / 3 = 6.

so therefore, your answer is 7:6.

hope this helped:)

y = 3

Explanation:

To find equation of a line given the points(x, y) and the slope, we need to determine the intercept.

A linear function is in the form:

y = mx + c

where m = slope

c = intercept

The given points = (-3, 3)

x = -3, y = 3

The slope = 0

Now, we will insert the value of x, y and m in order to determine the intercept (c):

Now, let's insert the value of c together with the slope in the equation: y = mx+c:

y = 0(x) + 3

y= 0 +3

y = 3

Therefore, the equation of the line that passes through point (-3, 3) with slope equal to 0​ is y = 3