Determine the value of x.

Answer: 24 blue cars

Step-by-step explanation:

Red   |   Blue

5        :        3

x8                  x8

40      :         ?

40        :          24

Answer:

Paragraph

So, to start off this equation, you start with your mixed number, -10 1/5. Convert both mixed numbers to improper fractions, then multiply their numerators and denominators separately. Next, you must simplify. You simplify by converting improper fraction to mixed number. Then, you find the answer.

Hope this helps!

Answer:

1. y = 2x - 5

2. y = (-1/3)x

3. y = -4

4. y = (-3/4)x + 7

5. x = 6

6. y = -3x - 8

Step-by-step explanation:

1.

Point 1: (0, -5) Point 2: (-1, -7)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        -7 - (-5)     -7 + 5       -2

m = ------------ = ----------- = ---------- = ------ = 2

        x₂ - x₁         -1 - 0           -1           -1

y - y₁ = m (x - x₁)

y - (-5) = 2(x - 0)

y + 5 = 2x - 0

   -5           -5

y = 2x - 5

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

2.

Point 1: (0, 0) Point 2: (3, -1)

            (x₁, y₁)             (x₂, y₂)

        y₂ - y₁        -1 - 0            -1

m = ------------ = ----------- = ----------

        x₂ - x₁         3 - 0            3

y - y₁ = m (x - x₁)

y - (0) = (-1/3)(x - 0)

y - 0 = (-1/3)x - 0

   -0                -0

y = (-1/3)x

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

3.

Point 1: (0, -4) Point 2: (-5, -4)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        -4 - (-4)   -4 + 4         0

m = ------------ = ----------- = ---------- = ------ = 0

        x₂ - x₁         -5 - 0          -5          -5

y = -4

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

4.

Point 1: (0, 7) Point 2: (4, 4)

            (x₁, y₁)             (x₂, y₂)

        y₂ - y₁        4 - 7            -3

m = ------------ = ----------- = ----------

        x₂ - x₁         4 - 0            4

y - y₁ = m (x - x₁)

y - 7 = (-3/4)(x - 0)

y - 7 = (-3/4)x - 0

   +7               +7

y = (-3/4)x + 7

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

5.

Point 1: (6, 0) Point 2: (6, 3)

            (x₁, y₁)              (x₂, y₂)

        y₂ - y₁        3 - 0             3

m = ------------ = ----------- = ---------- = undefined

        x₂ - x₁         6 - 6           0

x = 6

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

6.

Point 1: (0, -8) Point 2: (-4, 4)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        4 - (-8)      4 + 8       12

m = ------------ = ----------- = ---------- = ------ = -3

        x₂ - x₁         -4 - 0          -4         -4

y - y₁ = m (x - x₁)

y - (-8) = -3(x - 0)

y + 8 = -3x - 0

   -8           -8

y = -3x - 8

I hope this helps!

Answer:

75%

Step-by-step explanation:

To find the percentage of boys in the class, we must know how many boys are in the class.

The class has a total of 45 students. 15 of those students are females, so we know to 45 - 15 is the number of boys.

45-15=30

So now we now that there are 30 boys. To be more specific, 30 boys out of the 45 students. We can look at this as a fraction, which can be changed to a percentage/decimal. ([tex]\frac{30}{45}[/tex])

[tex]\frac{30}{45}[/tex] converted to a percentage is 75. This means that the percentage of boys in the class is 75%

Solution :

98 minutes will it take him to decorate 56 cupcakes

Time and Work – Introduction and Concept

Time and work deal with the time taken by an individual or a group of individuals to complete a piece of work and the efficiency of the work done by each of them.

Work Done = Time Taken × Rate of Work

Rate of Work = 1 / Time Taken

Time Taken = 1 / Rate of Work

If a piece of work is done in x number of days, then the work done in one day = 1/x

Total Work Done = Number of Days × Efficiency

Efficiency and Time are inversely proportional to each other

X:y is the ratio of the number of men who are required to complete a piece of work, then the ratio of the time taken by them to complete the work will be y:x

Adrian decorated 16 cupcakes = 28 minutes

adrian decorated 1 cupcakes = 28 minutes /16

Adrian decorated 56 cupcakes = 28 minutes /16 x56

= (28/16)x56

[tex]=\frac{28}{16} .56\\\\[/tex]

= 14/8. 56

=7/4.56

=7x14

= 98

98 minutes will it take him to decorate 56 cupcakes

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In rectangular pyramid VWXYZ where WX>XY, then slant height VA shorter than the slant height VB.

As given,

In rectangular pyramid VWXYZ,

WX>XY

⇒(WX/2)>(XY/2)

⇒AX>BX

Draw perpendicular height VM and join AM and BM such that MAXB is a rectangle

AM=BX and BM=AX

So, BM>AM  __(1)

In right triangle VMA and VMB,

VA and VB are slant height (hypotenuse)

VM=perpendicular height

AM and BM are base

VA=√VM² + AM²

VB=√VM² + BM²  __(2)

From (1) and (2)

VA<VB

Therefore, in rectangular pyramid VWXYZ where WX > XY, then slant height VA shorter than the slant height VB.

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The  triangle LMN is an isosceles and right-angled triangle.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Given:

In a given triangle is LMN

According to given question we have

An isosceles triangle is a triangle with two congruent sides and one unique side and angle.

An equilateral triangle is a triangle with three congruent sides and three congruent angles.

A scalene triangle is a triangle with no congruent sides and no congruent angles.

A right triangle is a triangle that has one right angle.

The triangle is right-angled because the line segment LM is perpendicular to the MN.

Therefore, the  triangle LMN is an isosceles and right-angled triangle.

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Answer: 1, 4 and 5

Step-by-step explanation:

LM ⊥ MN

The triangle is isosceles

The triangle is a right triangle

After diving these two polynomials  g(x) = 12x³ - 18x² +24x

by j(x) = 3x which is g(x)/j(x) simplifies to  4x² - 6x + 8.

An expression is a combination of numbers, variables and their operation that equates to something that is equal but in different form.

According to the given question  f(x) = -3x + 2, g(x) = 12x³ - 18x² +24x,

h(x) = -2x² +9 and  j(x) = 3x.

Asked that we have to find g(x)/j(x) which is [tex]\frac{12x^3 - 18x^2 +24x}{3x}[/tex].

now we can break this division into chunks because there is only one term in the denominator.

So, (12x³/3x) -(18x²/3x) + (24x/3x)

= 4x² - 6x + 8.

∴ g(x)/j(x) =  4x² - 6x + 8.

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Answer:

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

4.18/6  *  5 over 5

72/6 *5 over 5

72/6 * 5 divided by 5

12.5 divided by 5

12 times 5 over 5

60/5

60 divided by 5

Answer:

1.Pentagon

2.Rhombus

3.Hexagon

Answer:

Respuesta (ab³+))

Answer:

A. 54 - n.

Step-by-step explanation:

In math, the word, "difference" means to subtract, because it is the result of subtracting.

Nine friends can arrange themselves on the nine rows of movie theatre in 362,880 ways.

For the given question;

The total number of friends went to watch movie = 9.

The initial number of seats in movie theatre = 10

The seats left after the removal of one seat = 9

Thus, the nine friends can arrange on the 9 seats in 9! ways.

9! = 9×8×7×6×5×4×3×2

9! = 362,880

Therefore, the possible arrangement of 9 friends on remaining seats is 362,880.

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The year in which the approximate number of oil barrels imported from Country B per day would be 4.05 million is 2,015.

A linear equation can be defined as an algebraic equation of the first order that has two (2) variables (x, y) with each of its term having an exponent of one (1).

In Mathematics, the standard form of a linear equation is given by the following:

y = mx + c

Next, we would solve the given linear equation for x:

y = 0.064x + 1.49

Subtracting 1.49 from both sides, we have:

4.05 - 1.49 = 0.064x + 1.49 - 1.49

4.05 - 1.49 = 0.064x

2.56 = 0.064x

x = 2.56/0.064

x = 40.

The year in which the approximate number of oil barrels imported from Country B per day would be 4.05 million is given by:

y = 1975 + x

y = 1975 + 40

y = 2,015.

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The matching of each system of equations to the inverse of its coefficient matrix: (refer to the picture given below)

After matching each system of equations to the inverse of its coefficient matrix: (refer to the picture given below)

Therefore, the matching of each system of equations to the inverse of its coefficient matrix: (refer to the picture given below)

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The complete question is given below:
Match each system of equations to the inverse of its coefficient matrix, A^-1and the matrix of its solution, X.

Answer:

shown in picture

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

In order to turn a decimal, in this case 0.8, you'll need to look at the placement of the decimal first. The placement of the decimal here is in the tenths. Thus meaning we will use 10 as the denominator. For the numerator you will use 8. Now we have 8/10. To simplify 8/10 you will divide 8/10 by 2. 8 divided by 2 is 4 (now the numerator). and 10 divided by 2 is 5 (now the denominator). 0.8 would be 8/10 as a fraction and the simplified version of 8/10 is 4/5.

Answer: 9) 0.42, 2/5, 4.5%

10) 3.34, 3 1/3, 300%

Step-by-step explanation:

if he had 500.00ghs that has left, he has withdrawn 3,000.00ghs from his bank.

The total amount that Mr. John withdrew from the bank is 1, which is the same as 100%, in other words, the fraction of the amount remaining is 1 minus 1/2 given to his son and 1/3 that was given to his daughter:

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Full question: Mr. John withdrew some of money from the bank .He gave 1/2 to his son and 1/3 to his daughters1)if he had 500.00ghs that has left, how much did he take from his bank

The solution to the composite functions are as follows:

The composite functions can be solved as follows:

f(x) = x² / 2

g(x) = x + 2

Therefore,

f(g(x)) = (x + 2)² / 2

f(g(x)) = (x + 2)(x + 2) / 2

f(g(x)) = x² + 2x + 2x + 4 / 2

f(g(x)) = x² + 4x + 4 / 2

Therefore,

g(f(x)) = x² / 2 + 2

g(f(x)) = x² / 2 + 2

Therefore, the solution to the composite functions are as follows:

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The position of the periscope on the number line will lie at negative 10 for below sea level and at 18 for above sea level.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R."

It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

Given that a submarine's periscope rises around 18 feet above sea level when fully deployed. The peak of the periscope is 10 feet below sea level when it is fully extended.

The periscope will be at negative 10 for levels below sea level and at 18 for levels above sea level on the number line. The image of the number line is attached with the answer below.

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60 more cases of coke is needed to maintain the required inventory.

Total inventory for the coke needed = 120

Number of cokes in then cooler = 17

Number of coke in the floor display = 43

Number of coke needed more to maintain the required inventory will be calculated by using subtraction.

= 120 - 17 - 43

= 103 - 43

= 60

Therefore, 60 more cases of coke is needed to maintain the required inventory.

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Answer: 7/8

Step-by-step explanation:

[tex]\displaystyle\\3\frac{1}{2} :4=\\\\\frac{3*2+1}{2}:4=\\\\\frac{6+1}{2}:4=\\\\ \frac{7}{2}*\frac{1}{4} =\\\\\frac{7*1}{2*4} =\\\\\frac{7}{8}[/tex]

In order to compare the lengths from the shortest to the longest, we need to convert all the fractions into decimals.

We are given the different lengths of the spool of twine that is being cut.

We have those lengths as:

5 / 6 foot

0.75 foot

4 / 5 foot.

To compare the lengths from the shortest to the longest, we need to first convert all the fractions into decimals.

So, we get that:

5 / 6 foot = 0.83 foot

4 / 5 foot = 0.80 foot

Now, we can arrange the lengths from the shortest to the longest.

0.75 foot, 0.80 foot, o.83 foot.

Therefore, we get that, in order to compare the lengths from the shortest to the longest, we need to convert all the fractions into decimals.

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Your question was incomplete. Please refer the content below:

Sakura is making a mobile. She has a spool of twine that she cuts into

lengths of 5/6 foot, 0.75 foot, and 4/5 foot. The mobile will have pieces twine in lengths in order from shortest to longest. A. What do you need to do before you can compare the lengths?

Answer:

7ab(b^4-8)

Step-by-step explanation:

(7ab)(b^4-8)

Jeo need to pay $0.4 million to buy Thea’s share.

Given,

Ratio of investment of Joe, Thea, Taylor in the partnership = 1:2:3

Worth of partnership after some years = $1.2 million

Now, we can calculate the share of partners:

Total of investment = 1 + 2 + 3 = 6

1.2 / 6 = 0.2 million, this is the investment.

Now share of partners:

Joe’s share = 0.2 x 1 = $0.2 million

Thea’s share = 0.2 x 2 = $0.4 million

Taylor’s share = 0.2 x 3 = $0.6 million

From the above data’s we can conclude that Joe needs $0.4 million to buy Thea’s share.

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The ratio of 8:3 is 2. 67

Ratio can be defined as the mathematical comparison of two or more numbers indicating their sizes in relation to each other.

It also explains how many times a number of element contains another.

It is mathematical represented with the symbol ' : '

From the information given, we have to determine the ratio of 8 and 3

We need to take the quotient or division of the two values.

With this, we have the representation as;

= 8/3

Find the quotient

= 2. 67

Thus, the ratio of 8:3 is 2. 67

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The inequality to compare the balances in the accounts x <-26

Based on the given parameters in the question, the balances are given as

Bank Account Balance 1 = -$26

Bank Account Balance 2 is less than Bank Account Balance 1

This above balances can be represented as be expressed as

Bank Account Balance 2 is less than Bank Account Balance 1

So, we have

x is less than Bank Account Balance 1

In this case, the variable x represents balance 2

Express less than inequality using less than inequality symbol <

So, we have the following inequality expression

x < balance 2

Substitute -26 for balance 2

x < -26

Hence, the inequality to compare the balances in the accounts x <-26

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Answer:

a. [tex]f(x) = 3 + 0.2x[/tex]

b. 6$

c. 35 miles

Step-by-step explanation:

There is a fixed price of $3 per ride, therefore, the y-intercept of the function would be $3, as she has to pay that amount for any amount of miles ridden in the cab.

In addition, she must add an extra $0.2 for every mile she has ridden in the cab. We can represent the amount of miles using the parameter [tex]x[/tex].

Therefore, the function to represent the cost of a cab-ride would be [tex]f(x) = 3 + 0.2x[/tex].

b. To find out how much she must pay for a 15-mile trip, we must substitute [tex]x = 15[/tex], as she has ridden 15 miles in the cab.

[tex]f(x = 15) = 3 + 0.2 \times 15 \to 3 + 3 \to 6[/tex]

She must pay $6 for the ride.

c. To find out how far she can travel if she only has $10, we would have to equalize the function to 10, as that is the final price she has to pay.

[tex]f(x) = 10\\\to 3 + 0.2x = 10\\\to 0.2x = 7\\\to x = 35[/tex]

For $10, she can travel 35 miles.

Answer: For $10, she can travel 35 miles.

Step-by-step explanation:

Answer:

;( no se tu problema