What is the result when 75 is decreased by 40%

Answer: x = 45

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Work Shown

x/y = 10/4

x/18 = 10/4 ... replace y with 18

x*4 = 18*10 ... cross multiply

4x = 180

4x/4 = 180/4 ... divide both sides by 4

x = 45

Final answer:

By cross-multiplying the given proportion x/y=10/4 with y=18, we determine that the value of x is 45.

Explanation:

To find the value of x given that x/y=10/4 and y = 18, we can use the method of cross-multiplication. This method involves multiplying the numerator of one fraction by the denominator of the other fraction and setting the two products equal to each other. So, we set up the equation:

[tex]\(\frac{x}{y} = \frac{10}{4}\)[/tex]

Let's substitute y with 18:

[tex]\(\frac{x}{18} = \frac{10}{4}\)[/tex]

We then cross-multiply and solve for x:

[tex]4x = 10 \times 18[/tex]

4x = 180

[tex]x = \frac{180}{4}[/tex]

x = 45

Therefore, the value of x is 45 when y is 18.

Answer:

x=49

Step-by-step explanation:

First multiply 4 on both sides

(4) x/4+7=14(4)

the fours cross out leaving x by itself

x+17=14(4)

x+7=56

subtract 7 on both sides leaving:

x=49

Hi There!

Step-by-step explanation:

Solve: x/4 + 7 = 14 (x/4 = 1/4x)

Simplify: 1/4x + 7 = 14

Subtract 7 to both sides of the equation: 1/4x + 7 - 7 = 14 - 7

Simplify: 1/4x = 7

Multiply 4 to both sides of the equation: 1/4x * 4 = 7 * 4

Answer:

x = 28

Hope This helps :)

The point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

We have:

[tex]slope:m=\dfrac{4}{3}[/tex]

[tex]the\ point\ (-2,\ 11)\to x_1=-2,\ y_1=11[/tex]

SubstituteL

[tex]y-11=\dfrac{4}{3}(x-(-2))\\\\\boxed{y-11=\dfrac{4}{3}(x+2)}[/tex]

The United States was at war with Spain in Cuba and the Philippines. Hawaii was of importance to the military effort because of its location. ... It was at this time that Congress annexed Hawaii because of the economic and military benefit the islands offered.

mark brainliest  :)

hope this helped

Answer:

Because of the oceans and all of the undiscovered stuff there. The fact it was an island and could be used as a navy base. Very dessolite. Not a lot of people the time it was a territory

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Answer:

a 3 quarts

b 6 quarts

c thats in the step by step

d yes

Step-by-step explanation:

c since they have to make 9 quarts of violet paint if you add the number of red and blue paint mixed together you get 1 quart meaning you have to multiply both by nine and if you simply you get what i have above

This is a proportional relationship because you decide whether two quantities are in a proportional relationship, by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

-hope this helps :D

Answer:

So, 36 completes perfect square

Step-by-step explanation:

we are given

trinomial as

[tex]x^2-12x+......[/tex]

we can square formula

[tex]a^2-2ab+b^2=(a-b)[/tex]

we can see that middle term is 2ab

so, we will factor middle term in 2ab form

[tex]12x=2\times x\times 6[/tex]

We can see that b is 6

so, if we could add 6^2 , then we will get perfect square

[tex]x^2-12x+6^2......[/tex]

[tex]x^2-12x+36......[/tex]

So, we should add 36

so, 36......Answer

Answer:  The correct option is

(C) 36.

Step-by-step explanation:  We are given to select the value that completes the square or creates a perfect square trinomial for the following incomplete expression :

[tex]E=x^2-12x+?[/tex]

We will be using the following square formula :

[tex]a^2-2ab+b^2=(a-b)^2.[/tex]

Let the required value be represented by c.

We have

[tex]E\\\\=x^2-12x+c\\\\=(x^2-2\times x\times 6+6^2)+c-6^2\\\\=(x-6)^2+c-36.[/tex]

So, for the given expression to be a perfect square trinomial, we must have

[tex]c-36=0\\\\\Rightarrow c=36.[/tex]

Thus, the required value is 36.

Option (C) is CORRECT.

To calculate the cost of the vegetable oil used by Lucy in three weeks, we need to determine the cost per ounce and then multiply it by the quantity used. In this case, the approximate cost of the oil used is $5.00.

To find out the approximate cost of the amount of vegetable oil Lucy used in three weeks, we first need to figure out how much of the 40-ounce bottle she used. As the question states that she used 65% of it, we can calculate it as follows:

So, the approximate cost for the amount of vegetable oil Lucy used in three weeks is $5.00, rounded to the nearest cent.

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To find the approximate cost for the amount of vegetable oil Lucy used in three weeks, calculate 65% of the total cost of the 40-ounce bottle of vegetable oil, and the approximate cost is $4.99.

To find the approximate cost for the amount of vegetable oil Lucy used in three weeks, we need to calculate 65% of the total cost of the 40-ounce bottle of vegetable oil.

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Answer: choice A

f(x) = (1/4)x^2, f(x) = -0.5x^2, f(x) = x^2

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The coefficient in front of the x^2 term tells us how wide or narrow the parabola will be. It turns out that the further the coefficient value is from 0, in either direction, this will make the parabola more narrow.

Notice how 1/4 = 0.25 which is less than |-0.5| = 0.5 meaning that f(x) = (1/4)x^2 is wider than f(x) = -0.5x^2

Then comparing f(x) = -0.5x^2 to f(x) = 1x^2, we see that 0.5 is smaller than 1, so f(x) = -0.5x^2 is wider than f(x) = 1x^2

That is why the order from widest to narrowest is f(x) = (1/4)x^2, f(x) = -0.5x^2, f(x) = x^2

A graph shown below helps confirm the answer (note the color coding). In figure 1 is the graph of all three functions together. In figure 2, I reflect the second function help show the comparison of why it's the middle-most in terms of how wide it is (it is the orange parabola, which is the reflection of the red parabola)

Answer:

The labor fee is $14.25, each quart of oil costs $2.25.

Step-by-step explanation:

Let $x be thee price of each quart of oil and $y be a flat fee for labor.

1. If the oil change for one car required 5 quarts of oil, then these 5 quarts cost $5x and together with a flat fee for labor it cost $25.50. Thus,

5x+y=25.50.

2. If the oil change for another car required 7 quarts of oil, then these 7 quarts cost $7x and together with a flat fee for labor it cost $30.00. Thus,

7x+y=30.00.

3. Subtract from the second equation the first one, then

[tex]7x+y-(5x+y)=30.00-25.50,\\ \\7x+y-5x-y=4.50,\\ \\2x=4.50,\\ \\x=\$2.25.[/tex]

Substitute it into the first equation:

[tex]5\cdot 2.25+y=25.50,\\ \\y=25.50-11.25,\\ \\y=\$14.25.[/tex]

The labor fee is $14.25, each quart of oil costs $2.25.

The labor fee is $14.25 and the cost per quart of oil is $2.25.

To find the labor fee and cost per quart of oil, we can set up a system of equations using the given information. Let x represent the cost of each quart of oil and y represent the labor fee.

We have the equations:

5x + y = 25.50
7x + y = 30.00

We can solve this system of equations using substitution or elimination. Substituting y from the first equation into the second equation, we get:

7x + (25.50 - 5x) = 30.00

2x = 4.50

x = 2.25

Substituting x back into the first equation, we get:

5(2.25) + y = 25.50

11.25 + y = 25.50

y = 14.25

Therefore, the labor fee is $14.25 and the cost per quart of oil is $2.25.

Answer:

[tex]\dfrac{1}{24}[/tex]

Step-by-step explanation:

1. The student is allowed to choose white, blue, green or black Polo shirts. So the student has 4 possibilities to select shirt and the probability of wearing the blue shirt is [tex]\dfrac{1}{4}.[/tex]

2. The student is allowed to choose khaki, black or plaid skirts/pants. So the student has 3 possibilities to select skirt and the probability of wearing the plaid skirt is [tex]\dfrac{1}{3}.[/tex]

3. The student is allowed to choose black or brown shoes. So the student has 2 possibilities to select shoes and the probability of wearing black shoes is [tex]\dfrac{1}{2}.[/tex]

Now use the product rule for probabilities:

[tex]Pr=\dfrac{1}{4}\cdot \dfrac{1}{3}\cdot \dfrac{1}{2}=\dfrac{1}{24}.[/tex]

Answer: 35

Step-by-step explanation: 48 - 13 = 35

Answer:

35 ants left

Step-by-step explanation:

Answer:

20/9 sq.feet

Step-by-step explanation:

The width is 4/3 ft because 1/3 times 4 is 4/3 and the length is 5/3 because 1/3 times 5 is 5/3.

Then to find the area you do length times width.

5/3 ×4/3= 20/9 sq. feet

I hope this helps! :)

The solutions to the equation 7x(x+1.8)=0 are x = 0 and x = -1.8.

The highest power of the polynomial function is defined as the degree.

The Fundamental Theorem of Algebra asserts that a polynomial has n roots if its degree is n.

The equation is 7x(x+1.8)=0.

To solve this equation, we can use the property that if the product of two factors is equal to zero, then at least one of the factors must be zero.

Therefore, we set each factor equal to zero and solve for x:

7x = 0

x = 0

x + 1.8 = 0

x = -1.8

So, the solutions to the equation 7x(x+1.8)=0 are x = 0 and x = -1.8.

To solve the equation 7x(x+1.8)=0, set each factor equal to zero to find the two possible solutions for x, which are 0 and -1.8.

To solve the equation 7x(x+1.8)=0, we need to set each factor equal to zero and solve for x.

Setting 7x=0, we find x=0. Setting x+1.8=0, we subtract 1.8 from both sides to get x=-1.8. Therefore, the solutions to the equation are x=0 and x=-1.8.

SEO Keywords: quadratic equation, solve, factor, solutionsThe given equation is 7x(x+1.8)=0. This is a quadratic equation that can be easily solved by setting each factor equal to zero. Here's how you can find the value(s) of x:

Therefore, the two possible values for x are 0 and -1.8.

check the picture below.

Answer: rotation 180 degrees counterclockwise about the origin

Step-by-step explanation: the formula for rotating 180 degrees is (x , y) = (-x , -y). thus, an example of point A is (2 , -4), and it results in being (-2, 4), and so forth for the following points.

Answer:

Reflection about the y axis, and then about the x- axis

Step-by-step explanation:

When reflecting an object about the y- axis, the x-coordinates are multiplied with -1.

When reflecting an object about the x-axis, the y-coordinates are multiplied with -.

When reflecting about both axes, both coordinates are multiplied by -1.

Now looking at the coordinates of the two triangles:

A(2, -4) → A'(-2, 4)

B(5, -5) → B'(-5, 1)

C(4, -5) → C'(-4, 5)

All of the coordinates are multiplied by -1.

Answer:

2.5 is the answer

Step-by-step explanation:

7/2 = 2.5

You need to divide the no of bus rider with no of students

[tex]3\times9^{x+1}=27^{x-1}\\\\3\times(3^2)^{x+1}=(3^3)^{x-1}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\3\times3^{2(x+1)}=3^{3(x-1)}\\\\3\times3^{2x+2}=3^{3x-3}\qquad\text{use}\ a^n\times a^m=a^{n+m}\\\\3^{1+2x+2}=3^{3x-3}\\\\3^{2x+3}=3^{3x-3}\iff2x+3=3x-3\qquad\text{subtract 3 from both sides}\\\\2x=3x-6\qquad\text{subtract 3x from both sides}\\\\-x=-6\to\boxed{x=6}[/tex]

Answer:

He needs to drive for 2 more days to get to his aunt's house.

Step-by-step explanation:

Answer:

hello

Step-by-step explanation:

Answer:

7.49

Step-by-step explanation:

1.07x7=7.49

Answer:

Step-by-step explanation:

Unknown number be 'x'

X-2<9

An explanation of solving an inequality where the number is two less than a number less than 9.

An inequality can be written as: x - 2 < 9, where x is the number.

To solve the inequality:

Add 2 to both sides: x < 11

So, the solution to the inequality is: x < 11

Answer:

[tex](x-12)(x-4)[/tex]

Step-by-step explanation:

[tex]x^2 - 16x + 48[/tex]

In the given expression , the product is 48 and sum is -16

-4 times -12 gives us 48

-4 plus -12 gives us -16. So two factors are -4 and -12

Beak the middle term using factors

[tex]x^2 -4x-12x+48[/tex]

Group first two terms and last two terms

[tex](x^2 -4x)+(-12x+48)[/tex]

FActor out GCF from each group

[tex]x(x -4)-12(x-4)[/tex]

FActor out x-4 that is in common

[tex](x-12)(x-4)[/tex]

Answer:

Match the following:

1. An angle that measures more than 0° but less than 90°:

Acute angle.

2. Two angles that have a common vertex and side but are not overlapping:

Adjacent angles.

3. Two angles whose sum is 90°

Complementary angles.

4. An angle that measures more than 90° but less than 180°:

Obtuse angle.

5. An angle that measures exactly 90°:

Right angle.

6. An angle that measures exactly 180°:

Straight angle.

7. Two angles whose sum is 180°:

Supplementary angles.

8. The point where two line segments, lines, or rays meet to form an angle:

Vertex.

9. Angles that are opposite from one another at the intersection of two lines:

Vertical angles.

Step-by-step explanation:

Match the following:

1. An angle that measures more than 0° but less than 90°:

Acute angle.

2. Two angles that have a common vertex and side but are not overlapping:

Adjacent angles.

3. Two angles whose sum is 90°

Complementary angles.

4. An angle that measures more than 90° but less than 180°:

Obtuse angle.

5. An angle that measures exactly 90°:

Right angle.

6. An angle that measures exactly 180°:

Straight angle.

7. Two angles whose sum is 180°:

Supplementary angles.

8. The point where two line segments, lines, or rays meet to form an angle:

Vertex.

9. Angles that are opposite from one another at the intersection of two lines:

Vertical angles.

The terms such as acute angle, adjacent angles, complementary angles, obtuse angle, right angle, straight angle, supplementary angles, vertex, and vertical angles are correctly matched with their respective definitions.

The correct matching for the provided terms are as follows:

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Answer:

t = 56.67

Step-by-step explanation:

Remark

If you are given a rhombus, what you are being told is that all 4 sides are equal. So WX = XY

Equation

6t - 82 = 3t + 88                             Add 82 to both sides

Solution

Final answer:

The probability of drawing a black pen first and then a red pen with replacement from a box of 10 pens is 20%.

Explanation:

To calculate the probability of drawing a black pen and then a red pen with replacement in a box that contains 10 pens, we should calculate the probability of each event separately and then multiply them since the events are independent.

There are 5 red pens, 4 black pens, and 1 blue pen, making a total of 10 pens. The probability of drawing a black pen is the number of black pens divided by the total number of pens: P(black) = 4/10 or 0.4.

Since the pen is replaced, the total stays the same. Therefore, the probability of then drawing a red pen is the number of red pens divided by the total number of pens: P(red) = 5/10 or 0.5.

To find the combined probability of both events happening in sequence (drawing a black pen and then a red pen), we multiply the two probabilities together: P(black and red) = P(black) × P(red) = 0.4 × 0.5 = 0.2 or 20%.

Answer:

x = - 6 or x = 1

Step-by-step explanation:

given a quadratic equation in standard form : ax² + bx + c = 0 : a ≠ 0

then the equation can be solved using the quadratic formula

• x = ( - b ± [tex]\sqrt{b^2-4ac}[/tex]) / 2a

x² + 5x - 6 = 0 is in standard form

with a = 1, b = 5 and c = - 6

x = (- 5 ± [tex]\sqrt{5^2-(4(1)(-6)}[/tex]) / 2

  = (- 5 ± [tex]\sqrt{25+24}[/tex]) / 2

  = (- 5 ± [tex]\sqrt{49}[/tex]) / 2

x = [tex]\frac{-5-7}{2}[/tex] = [tex]\frac{-12}{2}[/tex] = - 6

or x = [tex]\frac{-5+7}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

The solutions to the quadratic equation x² + 5x - 6 = 0 are x = 1 and x = -6.

To solve the quadratic equation x² + 5x - 6 = 0, Nathaniel used the quadratic formula.

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), where a, b, and c correspond to the coefficients of the quadratic equation.

In this case, a = 1, b = 5, and c = -6.

Substituting these values into the quadratic formula, we get x = (-5 ± √(5² - 4(1)(-6))) / (2(1)).

Simplifying further, we have x = (-5 ± √(25 + 24)) / 2.

This yields two solutions: x = (-5 + √49) / 2 and x = (-5 - √49) / 2.

Simplifying the square root, we get x = (-5 + 7) / 2 and x = (-5 - 7) / 2.

Therefore, the solutions to the quadratic equation are x = 1 and x = -6.

Answer:

3750 feet

Step-by-step explanation:

Given that Paulo begins at Stop 1 and then walks to Stop 2, then Stop 3, and then Stop 4. Then he walks to Stop 1 again.

Where stops are given by coordinates:

Stop 1 at (−2,1)

Stop 2 at (−2, −7) ​​

Stop 3 at (5,−7)

Stop 4 at (5, 1)

The path between each stop is a straight line. One unit on the coordinate grid equals 125 feet.

Now we need to find about what is the total distance Paulo walked.

So first we graph those points so that we can easily count the length of each side. then add each side to get the total length

length of rectangular path = 8+7+8+7=30

since one unit on the coordinate grid equals 125 feet. So to find the actual length we need to multiply 30 by 125 feet.

Hence final answer will be 125*30 = 3750 feet.