The product of the slopes of perpendicular lines (excluding vertical lines) always equals -1.

true
or
false

Answer:

slope = - [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

calculate the slope m using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (2, 6) and (x₂, y₂ ) = (6, 5)

m = [tex]\frac{5-6}{6-2}[/tex] = - [tex]\frac{1}{4}[/tex]

Answer:

345 calories.

Step-by-step explanation:

We have been given that there are 230 calories in 4 ounce of a type of ice cream.

First of all let us find calories per ounce ice-cream by dividing 230 by 4.

[tex]\text{Number of calories per ounce ice-cream}=\frac{230}{4}[/tex]

[tex]\text{Number of calories per ounce ice-cream}=57.5[/tex]

Therefore, the ice-cream contains 57.5 calories per ounce of ice-cream.

Let us find amount of calories in 6 ounces of ice-cream by multiplying number of calories per ounce by 6.

[tex]\text{Amount of calories in 6 ounces of ice-cream}=57.5\times 6[/tex]

[tex]\text{Amount of calories in 6 ounces of ice-cream}=345[/tex]

Therefore, there are 345 calories in 6 ounces of ice cream.

Answer: it is 345 calories.

Step-by-step explanation: i

Answer:

[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

the absolute value function always returns a positive value, that is

| a | = | - a | = a

| [tex]\frac{8}{9}[/tex] | = [tex]\frac{8}{9}[/tex]

Answer:

8/9

Step-by-step explanation:

when you put 8/9 in the lines it will stay the same.

ex: I7I=7

Answer:i think it is a

Step-by-step explanation:

Answer:

Real Estate appraisal

Step-by-step explanation:

Answer:

Reflection across y-axis followed by dilation with scale factor 4 and center (0,0).

Step-by-step explanation:

From the given figure it is noticed that the vertices of preimage are E(-2,1), F(-2,0) and G(-3,0). The vertices of image are E'(8,4), F'(8,0) and G'(12,0).

The triangle E'F'G' is enlargement of mirror image of EFG. Therefore reflect the triangle EFG across y-axis. If a point reflects across y-axis, then

[tex](x,y)\rightarrow (-x,y)[/tex]

The new vertices of the triangle are E(2,1), F(2,0) and G(3,0).

Length of FG is 1 unit and length of F'G' is 4 units. The scale factor is

[tex]\frac{F'G'}{FG}=\frac{4}{1}=4[/tex]

Length of OF is 2 unit and length of OF' is 8 units.

[tex]\frac{OF'}{OF}=\frac{8}{2}=4[/tex]

Rule of dilation with scale factor k and origin as center of dilation is defined as

[tex](x,y)\rightarrow (kx,ky)[/tex]

The vertices of image are E'(8,4), F'(8,0) and G'(12,0).

Since the distance ratio of image and preimage from the origin is same as the scale factor, therefore the center of dilation is origin.

Thus, the triangle EFG can form the triangle E’F’G’ using reflection across y-axis followed by dilation with scale factor 4 and center (0,0).

Notes: In this case dilation with scale factor 4 and center (0,0) followed by reflection across y-axis will give the same results.

Answer:

Dilation by a scale factor of 4 followed by reflection about the y-axis

Step-by-step explanation:

Hope this helps

Answer:

15%

17 kids are part of club A and B

Answer:

The correct answer is D

Step-by-step explanation:

Please see the attachment

Answer:d

Step-by-step explanation:

Answer:

if m1= 60° than m2 must= A. 30° Since perpendicular lines form a right

Answer:

11.7 Gallons

Step-by-step explanation:

First turn the percentage into a decimal then multiply it by the whole number which is 18 and you should get 11.7 and that is how many gallons are currently in the tank

Answer:

11.7

Step-by-step explanation:

To solve this problem, we need to find what is 65 percent of 18.

To do this, we can simply multiply 18 by .65. Don't forget the decimal!

The answer is 11.7

Hope this helps! (Brainliest Please!)

Convert mixed number to improper fraction:

[tex]1\dfrac{3}{4}=\dfrac{1\cdot4+3}{4}=\dfrac{4+3}{4}=\dfrac{7}{4}\\\\4\dfrac{1}{6}=\dfrac{4\cdot6+1}{6}=\dfrac{24+1}{6}=\dfrac{25}{6}\\\\1\dfrac{3}{4}\times4\dfrac{1}{6}=\dfrac{7}{4}\times\dfrac{25}{6}=\dfrac{7\times25}{4\times6}=\dfrac{175}{24}=\dfrac{168+7}{24}=7\dfrac{7}{24}[/tex]

Final answer:

To solve 1 3/4 x 4 1/6, we convert the mixed numbers to improper fractions and multiply them, resulting in an incorrect statement that the answer is 1/4; the calculated multiplication is 175/24, which can be further simplified.

Explanation:

To solve the multiplication problem 1 3/4 x 4 1/6, we'll first need to convert the mixed numbers into improper fractions.

For 1 3/4, which is 1 + 3/4, we convert it to an improper fraction by multiplying the whole number by the denominator and adding the numerator, which gives us (1*4) + 3 = 7/4.

For 4 1/6, which is 4 + 1/6, we convert it to an improper fraction by doing the same process: (4*6) + 1 = 25/6.

Now, we multiply the two improper fractions: (7/4) x (25/6).

To multiply fractions, we multiply the numerators together and the denominators together:

7 x 25 = 175
4 x 6 = 24

So, (7/4) x (25/6) = 175/24.

Finally, we simplify the improper fraction by dividing 175 by 24, which results in a mixed number or a decimal.

Answer:

The tip is $9.00

Step-by-step explanation:

To find the tip, we multiply the tip percentage by the amount of the bill.  The tip percentage must be in decimal form.

18%  = .18

.18* $50.00 = $9.00

The tip is $9.00

Yes a triangle can have three acute angles. One example is a triangle where each angle is 60 degrees. This would be an equilateral triangle.

Note: acute means the angle is less than 90. For any triangle, the three angles always add to 180.

Answer:

The answer is 55

Step-by-step explanation:

6 + 11 + 8 + 14 + 16 = 55

A linear equation is any equation that results in a straight line, as each value is a fixed number from the previous.

In a non-linear equation, a variable is being raised to a power, which results in a curved line.

Answer:

b. y^2 = x^2 + 3   not a linear equation

Step-by-step explanation:

Linear equations are equations in which the variable is in the first degree, or only to the first power.

a. y = x + 6    Nothing above the first power

b. y^2 = x^2 + 3   X and y are to the second power

c. x = 5   Only to the first power

d. 2x = 3y  Only to the first power

To find equivalent fractions for 1/12 and 3/8 using the least common denominator, multiply the numerator and denominator of each fraction by the appropriate factor to obtain fractions with a common denominator of 24.

To find an equivalent fraction for 1/12 and 3/8 using the least common denominator, we need to determine the smallest multiple that both denominators (12 and 8) have in common. The least common multiple of 12 and 8 is 24.

To convert 1/12 to a fraction with 24 as the denominator, we need to multiply the numerator and denominator by 2:

1/12 = (1 * 2) / (12 * 2) = 2/24.

To convert 3/8 to a fraction with 24 as the denominator, we need to multiply the numerator and denominator by 3:

3/8 = (3 * 3) / (8 * 3) = 9/24.

Final answer:

The equivalent fractions with the least common denominator of 24 for 1/12 and 3/8 are 2/24 and 9/24, respectively.

Explanation:

To find an equivalent fraction for each fraction with the least common denominator (LCD), you first need to determine the LCD for 1/12 and 3/8. In this case, the LCD for 12 and 8 is 24. Then, you adjust each fraction to have the denominator of 24.

For 1/12: Multiply both the numerator and the denominator by 2 to get 2/24.

For 3/8: Multiply both the numerator and the denominator by 3 to get 9/24.

Therefore, the equivalent fractions with a common denominator of 24 are 2/24 and 9/24.

To understand equivalency in general, when you multiply the numerator and the denominator of a fraction by the same number, you are creating a fraction that represents the same value as the original.

Answer: Choice A) 9/45 and 8/40

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

If you divide both top and bottom of 9/45 by the GCF 9, you get 1/5

If you divide top and bottom of 8/40 by the GCF 8, you also get 1/5

So the original fractions must be the same

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

Another way to check is to use a calculator and see that 9/45 = 0.2 and 8/40 = 0.2, so 9/45 = 8/40

Or you can subtract the fractions and you should end up with 0, so, 9/45 - 8/40 = 0

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

You can also set up a proportion and cross multiply

9/45 = 8/40

9*40 = 45*8

360 = 360

The last equation is true, so the first equation must be true

Answer:

the number is 70

Step-by-step explanation:

let unknown number is 'x'

given that 2x/7=20

multiply by 7 both sides

2x=20*7

divide by 2 on both sides

x=(20*7)/2

x=10*7

x=70

If the quotient of twice a number divided by 7 is 20, then the number is 70.

Let the number be represented as x

Twice the number = 2x

Twice a number divided by 7 = 2x/7

The quotient = 20

To get the value of x:

2x/7   =  20

Cross multiply:

2x  =  7(20)

2x  =  140

x   =  140/2

x  =   70

Therefore, if the quotient of twice a number divided by 7 is 20, then the number is 70.

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Answer: Barlow has more by 178

Step-by-step explanation:

Solve for Barlow first: 4/9 of 873 is 388 boys.

Solve for Willow: since 2/3 of the students are girls, that means that 1/3 of them are boys: 1/3 of 630 = 210

Barlow has more, now find out by how many: 388 - 210 = 178.

Barlow School has a greater number of boys than Willow School, with 178 more boys.

To determine which school has a greater number of boys, we can calculate the number of boys in each school by using the given ratios. At Barlow School, 4/9 of the 873 students are boys. At Willow School, 2/3 of the students are girls, which means that 1/3 of the students are boys since there are only boys and girls at the school.

First, we calculate the number of boys at Barlow School:

Then, we calculate the number of boys at Willow School. Since 2/3 of the 630 students are girls, we need to find 1/3 to find the number of boys:

To find out which school has the greater number of boys, we compare the numbers:

Thus, Barlow School has a greater number of boys. To find out by how many, we subtract the number of boys at Willow School from the number of boys at Barlow School:

Answer:

Rectangles and squares have 90° corner angles.

Answer:

The percentages are 267% and 400% respectively.

Step-by-step explanation:

To find the answers of these, you need to divide the second number by the first. This will give you the percentage.

2/3 ÷ 1/4 = 8/3 = 2.67 = 267%

You can do the same for the second one.

2/3 ÷ 1/6 = 12/3 = 4 = 400%

To determine what percentage 2/3 is of 1/4, calculate (2/3) / (1/4) * 100, resulting in 266.67%. To find the percentage 2/3 is of 1/6, calculate (2/3) / (1/6) * 100, resulting in 400%.

When finding the percent of a fraction, you are essentially calculating what part of 100 the fraction represents. To find what percent 2/3 is of 1/4, you need to set up a proportion such that 2/3 is to 1/4 as x is to 100.

To solve this, you divide 2/3 by 1/4 and then multiply by 100:

Percent = (2/3) / (1/4) * 100

Percent = (2/3) * (4/1) * 100

Percent = 8/3 * 100

Percent = 800/3

Percent = 266.67%

Similarly, to find what percent 2/3 is of 1/6, you can use the same approach by dividing 2/3 by 1/6 and then multiplying by 100.

Percent = (2/3) / (1/6) * 100

Percent = (2/3) * (6/1) * 100

Percent = 12/3 * 100

Percent = 400%

Therefore, 2/3 is 266.67% of 1/4, and 400% of 1/6.

The question is about the probability of sum of numbers obtained after rolling two dice. There are 36 possible outcomes of a roll of two dice. The probability of the event that the sum of numbers obtained is 4 or greater than 9 is 1/4.

The subject of this question is probability, focusing specifically on the sample space and likely outcomes of two number cubes, or fair six-sided dice, being rolled. Part (a) of the question asks for the sample space which includes all possible outcomes of a roll of two dice i.e., (1,1), (1,2), ..., (6,5), (6,6). There are 36 possible outcomes in total.

For part (b), we are finding the probability of the event that the sum of the numbers obtained after rolling the two dice is 4 or the sum of numbers obtained is greater than 9. There are 3 ways to get a sum of 4, i.e., (1,3), (2,2), (3,1), and 6 ways to get a sum greater than 9, i.e., (4,6), (5,5), (5,6), (6,4), (6,5), (6,6). That's 9 favorable outcomes out of the total of 36. Therefore, the probability of the event is 9/36, which simplifies to 1/4.

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The probability of getting a sum of 4 or a sum greater than 9 is determined by dividing the number of favorable outcomes by the total number of outcomes which is 13/36

The sample space of rolling two number cubes can be listed by considering all the possible outcomes when rolling two dice. Since each die has 6 sides numbered from 1 to 6, there are a total of 36 possible outcomes.

The probability of getting a sum of 4 or a sum greater than 9 can be calculated by determining the number of favorable outcomes and dividing it by the total number of outcomes.

In this case, there are 3 favorable outcomes for a sum of 4 (1+3, 2+2, 3+1) and 10 favorable outcomes for a sum greater than 9 (4+6, 5+5, 5+6, 6+4, 6+5, 6+6).

Therefore, the probability is (3+10)/36, which simplifies to 13/36.

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Answer:

30/80 is the fraction of decrease. Converting this to a fraction with a denominator of 100, we get the fraction; 

37.5/100

Now we just take the numerator of the number to get the percent, which is the solution. 

37.5%

Answer:

John, Gil, Sami, Hank, Tammy

Thats the scores ordered from greatest to least :)

Answer:

B

Step-by-step explanation:

distribute parenthesis on both sides of the equation

- 24x - 12 = - 12x - 120 ( add 12x to both sides )

- 12x - 12 = - 120 ( add 12 to both sides )

- 12x = - 108 ( divide both sides by - 12 )

x = 9 → B

Answer:

522

Step-by-step explanation:

We are given that the price of the motorcycle is 3238 and if we borrow it then the payment per month will be 165 for 24 months.

So the total amount that we are going to pay if we borrow the motorcycle will be 165 × 24  = 3960

While the actual price of the bike is 3438.

Difference in the payment and actual price = 3960 - 3438 = 522

Therefore, you can save 522 by paying cash.

Answer:

B

Step-by-step explanation:

given the first 3 terms of the geometric sequence - 4, 20, - 100

with r = [tex]\frac{-100}{20}[/tex] = [tex]\frac{20}{-4}[/tex] = - 5

the n th term formula ( explicit formula ) is

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] [tex]r^{n-1}[/tex]

here r = - 5 and [tex]a_{1}[/tex] = - 4, hence

[tex]a_{n}[/tex] = - 4 [tex](-5)^{n-1}[/tex] with n ≥ 1

This question is solved using geometric sequence concepts, and doing this, we get that the correct option is:

[tex]a_n = -4(-5)^{n-1}, n \geq 1[/tex], second option

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is the same, called common ration, and the general equation is given by:

[tex]a_n = a_1q^{n-1}, n \geq 1[/tex]

In which [tex]a_1[/tex] is the first term and q is the common ratio.

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

n an

1 −4

2 20

3 −100

First term is -4, so [tex]a_1 = -4[/tex], then:

[tex]a_n = a_1q^{n-1}, n \geq 1[/tex]

[tex]a_n = -4q^{n-1}, n \geq 1[/tex]

The common ratio is:

[tex]q = \frac{-100}{20} = \frac{20}{-4} = -5[/tex]

Thus:

[tex]a_n = -4(-5)^{n-1}, n \geq 1[/tex] is the sequence.

A similar example is given at https://brainly.com/question/24078619

Answer:

0

Step-by-step explanation:

given a + b = 2a ( subtract 2a from both sides )

a - 2a + b = 0

- a + b = 0 ⇒ b - a = 0