Calcula la capacidad de un bidon con el que se han llenado 7 botellas de 6/5litros. ¿Cuantas botellas de 3/10litros se pueden llenar con el?

Answer:

c= 1    w =1.25    

Step-by-step explanation:

10w +6c = 26-   2w +6c= 16      Subtration =  8w = 10  =     10/8   = 1.25  = w =1.25 12(1.25)+ 6c = 16  = 2.5 + 6c = 8.5     Subtration = 6c = 8.5 -2.5 =  6c = 6  = c= 6/6 = 1  c= 1

Since no equation of the line, or graph is provided in the question statement, considering the line to be [3x +4y = 12], the y-intercept of the line is 3.

As per question statement, we are supposed to determine the y-intercept of the line on the graph, but no equation of the line, or graph is provided. Hence, we considered the equation of a random line, say,

[3x +4y = 12] and then, determine it's y-intercept.

To solve this question, we can use two methods:

One method is by converting the given equation into the format of the standard equation of a line, and then comparing it to the standard equation to determine the y-intercept, i.e.,

The standard equation of line is (y = mx + c), where, "m" is the slope of the line, and "c" is the y-intercept. Converting [3x +4y = 12] to the form of the standard equation, we get,

[tex]3x+4y=12\\or,4y=-3x+12\\or,y=\frac{-3x+12}{4}\\ or,[y=(\frac{-3}{4})x+3]...(i)[/tex]

Now comparing (i) to the standard equation of line, we can identify that

(c = 3), i.e., y-intercept of the line [3x +4y = 12] is 3.

Another way we can determine the y-intercept of a line is by, substituting (x = 0) and then solving the equation for "y".

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Answer:

13

Step-by-step explanation:

According to the Pythagorean principle

[tex]c^{2} = a^{2} +b^{2}[/tex]

[tex]c^{2} = (5^{2} ) + (12^{2} ) = 25 +144= 169\\c= \sqrt{169 } = 13[/tex]

Answer:

Step-by-step explanation:

-3√(4)(10)  - √(16)(10)

-3(2)√(10) - 4√(10)

-6√(10) - 4√(10)

-10√(10)

The equation that represents the cost, y, of x gallons of gasoline, is expressed as: y = 3.25x.

To create an equation in slope-intercept form, y = mx + b, for a table of values, use two pairs of values from the table to find the slope (m) and determine the y-intercept (b).

Using (5, 16.25) and (8, 26.00) find the slope (m):

Slope (m) = change in y / change in x = (26.00 - 16.25) / (8 - 5)

Slope (m) = (9.75) / (3)

Slope (m) = 3.25

Find the y-intercept (b) by substituting m = 3.25 and (8, 26.00) into y = mx + b:

26.00 = 3.25(8) + b

26.00 = 26.00 + b

26.00 - 26.00 = b

0 = b

b = 0

Substitute m = 3.25 and b = 0 into y = mx + b:

y = 3.25x + 0

y = 3.25x

Therefore, the equation that represents the cost, y, of x gallons of gasoline, is expressed as: y = 3.25x.

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Part a: Expression for length; l = 2w + 3.

Part b: Perimeter equation; P = 2(l + 10).

Part c: Length of rectangle = 29 feet.

The given conditions are-

Let 'l' be the length of the rectangle.

Let 'w' be the width of the rectangle.

Part a: expression for the length of a rectangle in the terms of w.

Length is three feet more than twice its width.

l = 2w + 3

Thus, the expression of l in terms of w is: l = 2w + 3.

Part b: Perimeter equation.

The width is given as 10 feet.

The formulae of perimeter if rectangle is;

P = 2(l + w)

Put the value;

P = 2(l + w)

P = 2(l + 10)

Thus, the equation for perimeter is P = 2(l + 10)

Part c: Length of rectangle.

perimeter of rectangle = 78 units.

P = 2(l + w)

w = 10 feet.

78 = 2(l + 10)

l + 10 = 39

l = 29

Thus, the length of the rectangle is found as 29 feet.

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According to the solving his unused inventory will have = x - [tex]\frac{468}{5}[/tex]

A mixed fraction is defined by its quotient as well as remainder. 2/3, for example, is a mixed fraction in which 2 is the quotient and 1 is the remainder. A mixed fraction is thus the product of a whole number as well as a proper fraction.

If the only common factor of a fraction's numerator and the denominator is 1, the fraction is considered to be in its simplest form. For example,89, because 1 is the sole common factor in this fraction of 8 and 9. We simplify fractions simply because it is usually easier to work with or compute fractions when they are in their simplest form.

Every day, a farmer sells on average of 15 3/5 bushels of maize.

Converting  mixed fraction to proper fraction;

[tex]15\frac{3}{5}[/tex] this can be written as [tex]\frac{78}{5}[/tex]

Assume he has a total of x bushels.

As a result, he will sell in 6 days.

= 6 x [tex]\frac{78}{5}[/tex]

= [tex]\frac{468}{5}[/tex]

So,

According to the solving his unused inventory will have = x - [tex]\frac{468}{5}[/tex]

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I understand that the question you are looking for is:

A farmer sells an average of 15 3/5 bushels of corn each day. What integer represents the change in bushels of corn in his inventory after 6 days.

Answer:

=The numbers which donot have factors and can be only divided by themselves are know as prime numbers.Eg: 2,3,5,7

= A number that can be represented as the quotient p/q of two integers such that q ≠ 0 are known as rational numbers. Eg 4/8,5,-10

=An irrational number is a number that cannot be expressed as a fraction for any integers.Eg -0.25,3.5

Answer:12.35 = t

Step-by-step explanation:

95 + t + 3.5 = 110.85

where t  = tax

12.35 = t

It should be noted that the information regarding the transformation illustrates that Elena is wrong.

A point, line, or geometric figure can be transformed in a way that affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

It should be noted that the first step makes the figures be the same by size but the second step, reflection over line AE doesn't map them together.

In this case, the correct line of reflection would be a vertical line through point D.

Therefore, it should be noted that the information regarding the transformation illustrates that Elena is wrong.

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Elena gives the following sequence of transformations to show that the two figures are similar by

transforming ABCD into EFGD.

1. Dilate using center D and scale factor 2.

2. Reflect using the line AE.

[tex]6000 + \frac{14 \\ }{100} \times 6000 = 6840 \times 6 = 41040[/tex]

Answer:

n + 8 ÷ 7

Step-by-step explanation:

I think that's the answer, but I could be wrong- lol.

Answer: Maxwell jogs faster.

Step-by-step explanation:

Haley jogs 3/4 miles in 10 minutes.

Maxwell jogs 2/3 miles in 8 minutes.

3/4 = .75

2/3 = .6 repeating

[tex] \bf \implies \: ( - \frac{9}{4}) \: or \: (- 2 \frac{1}{4} )\: or \: ( - 2.25 )\\ [/tex]

Step-by-step explanation is in attachment see and go through it

Answer:

4 weeks and 1 day

Step-by-step explanation:

7 x 4 = 28

28 + 1 = 29

Answer:

4weeks and 1 day

7X4=28

28+1=29

Step-by-step explanation:

hope this helps (❁´◡`❁)

Answer: 0.04632

Step-by-step explanation:

Maximum value occurs at the vertex, given by (h,k)=(-2,8)

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

The given function is: h(x) = -(x + 2)² +8.              

This function is in the form: a[tex](x-h)^{2}[/tex]+k

Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object. The word symmetry implies balance.

The axis of symmetry is given by  x = h

By comparison, we have -h=2.

This implies h=-2

Therefore the axis of symmetry is  x = -2

The maximum value of a function is the place where a function reaches its highest point, or vertex, on a graph. If your quadratic equation has a negative term, it will also have a maximum value.

The maximum value occurs at the vertex, given by (h,k)=(-2,8)

See attachment for the axis of symmetry and maximum point.

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The meaning of the 0.4m in this equation is the additional cost of hiring the delivery truck for m number of miles.

Given equation:

C = 0.4m + 68

Where

m = number of miles

C = total cost of hiring the delivery truck

68 = Fixed cost of hiring the delivery truck

0.48 = Additional cost per mile of hiring the delivery truck

For instance,

If the truck is hired for 10 miles

C = 0.4m + 68

= 0.4(10) + 68

= 4 + 68

C = $72

Therefore, the meaning of the 0.4m in this equation is the additional cost of hiring the delivery truck for m number of miles.

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Answer:

30

Step-by-step explanation:

Divide

[tex]\frac{12}{6}\\\\\bold{Long\:division}\\6 \times 2 = 12\\= 2[/tex]

[tex]\mathrm{2\:remainder\:0}[/tex]

Simplify the rest of the expression

[tex]= 30 - 0\\= 30[/tex]

Hope this helps!

Answer: offf

Step-by-step explanation:off

All the roots of equation x⁴ +2x³ -x² -2x +10 are: (1 + i), (1 - i), -2i, 2i

In the given question, we have to find out all the roots or solutions for the equation x⁴ +2x³ -x² -2x +10. One of the roots given for this equation is 1+i

According to the 'Complex Conjugate' pairs, if an equation has a complex number as a root then its conjugate will also be a root of the equation.

So, we get z = 1 + i as a root then z* = 1 - i which is the conjugate of z, and z* will also be a root of the equation.

Also, the product of two roots will also be a root of the equation. So,

we know that, x = 1 + i, x = 1 - i, we get their product:

(x -(1 + i))*(x - (1 - i))   => by solving we get => x² -2x +2 = 0

     => x² -2x +1 = 1  => x² -x -x +1 = 1 (by middle term split)

     => x(x-1) -1(x-1) = 1  => we get (x - 1) as a factor

So, (x - 1) = 1  => x = 2

    => x = -2i, we get x = -2i

Again, by Complex conjugate pairs if x = -2i is a factor then it's conjugate x = 2i is also a factor.

Hence, the roots of the equation are: (1 + i), (1 - i), -2i, 2i

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Answer:

1.6 potatoes per minute

Step-by-step explanation:

8 divided by 5 is 1.6

In vertex form, the quadratic function F(x) = 2x² + 8x + 4 is given by:

y = 2(x + 2)² - 4

The graph of the function is given at the end of the answer.

The equation of a quadratic function, of vertex (h,k), is given by the following rule:

y = a(x - h)² + k

In which:

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

For the function F(x) = 2x² + 8x + 4, the coefficients are given as follows:

a = 2, b = 8, c = 4.

Hence the coordinates of the vertex are:

Hence:

y = 2(x + 2)² - 4

As the leading coefficient is of a = 2.

The graph of the function is given at the end of the answer.

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It should be noted that two perfect squares so that the square root will fall between consecutive numbers of 0.4 and 0.5 include 0.2025 and 0.2209.

It should be noted that based on the information, we want to find two perfect squares so that the square root will fall between consecutive numbers of 0.4 and 0.5.

In this case, it should be noted that 0.45 × 0.45 = 0.2025. It should be noted also that 0.47 × 0.47 = 0.2209.

As a result, 0.2025 and 0.2209 are two perfect squares such that the square root will lie between consecutive numbers of 0.4 and 0.5.

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Answer:

2/3

Step-by-step explanation:

To find this, we need to find out how many numbers are greater than 2 but no more than 6. This set includes 3, 4, 5, 6; there are 4 numbers that qualify for this. This means that out of all 6 numbers, 4 numbers are in the probability, so our answer would be 4/6 = 2/3

Answer:

2/3

Step-by-step explanation:

The probability of a die getting 3,4,5,6 over a 1 or 2 is 4 chances out of the 6 chances in a die, or 2/3.

Answer:

rational numbers

Step-by-step explanation:

An adult's weight can be a non-integer, but is likely of the form of a decimal.

This matches best with the set of rational numbers (of which we take the positive ones).