The slope of two lines are - 3/2 and 18/a. Determine the value of α that will make the lines:

a) parallel

b) perpendicular

Answer:

Multiples of 3=3,6,9,12,15,18..

Multiples of 4=4,8,12,16,20..

The first common multiple will be 12

And the next common multiples will be multiples of 12

Hence, first four common multiples of 3,4 are 12,24,36,48

 https://www.cuemath.com/numbers/lcm-of-3-and-4/

Answer:

0.15866

Step-by-step explanation:

To solve for the above question, we use z score formula

z = (x - μ) / σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question,

x is the raw score = 70.5

μ is the population mean = 70

σ is the population standard deviation = 0.5

z = 70.5 - 70/ 0.5

z= 0.5/0.5

z = 1

We used the z score table to find the probability of z = 1

P( x = z) = P(x = 70.5)

= P( z = 1) = 0.84134

Hence, the probability that a randomly selected container has more than 70.5 ounces of juice is calculated as

P(x>70.5) = 1 - P(x =70.5)

P(x>70.5) = 1 - 0.84134 = 0.15866

Therefore, the probability that a randomly selected container has more than 70.5 ounces of juice is 0.15866.

This question is solved using proportions, and doing this, it is found that Evan gets 5 Chinese yuans for every Australian dollar.

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

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

75 dollars are worth 375 yuans. How much yuans is a dollar worth?

1 dollar - x yuans

75 dollars - 375 yuans

Applying cross multiplication:

[tex]75x = 375[/tex]

[tex]x = \frac{375}{75}[/tex]

[tex]x = 5[/tex]

Evan gets 5 Chinese yuans for every Australian dollar.

A similar question is given at https://brainly.com/question/23352001

Answer:

90

Step-by-step explanation:

Tangents drawn to a circle from an external point are equal, thus

IH = IJ = 7

ON = OH = 19 - 7 = 12

MN = ML = 26 - 7 = 19

Summing the 4 sides for perimeter (P)

P = 26 + 19 + 7 + 7 + 12 + 19 = 90

Answer:

1/25

Step-by-step explanation:

1 m = 100 cm

4m x 100 = 400 cm

If it is 16 cm long, then the scale factor is 16/400, which simplifies to 1/25.

Answer: The number of the adult tickets is 168

Step-by-step explanation: * Lets explain how to solve the problem

- The adults ticket costs $10.50

- The students ticket costs $3.75

- The total money of the opening night is $2071.50

- The equation of the total money earned in the opening night is:

10.50 a + 3.75 b = 2071.50, where a is the number of the adult ticket

 and b is the number of the student ticket

- There were 82 students attended

* Lets solve the problem

∵ 10.50 a + 3.75 b = 2071.50

∵ The number of the students attended is 82

∵ b is the number of the students

∴ b = 82

- Substitute the value of b in the equation

∴ 10.50 a + 3.75(82) = 2071.50

∴ 10.50 a + 307.5 = 2071.50

- Subtract 307.5 from both sides

∴ 10.50 a = 1764

- Divide both sides by 10.50

∴ a = 168

∵ a is the number of the adult tickets

∴ The number of the adult tickets is 168

Give credit to ashraf 82

Answer:

The answer is 168

Step-by-step explanation:

Answer:

i don't know maybe D. 2 and 3

Answer:

Graph D

Step-by-step explanation:

(h)t = -16t^2 + 80

At time t = 0 the screwdriver is at 0+80 =80 ft

As time increases the height will decrease so we can eliminate graph B

We know this is a downward parabola by the - in front of the t^2 so we can eliminate graph A

We need to find where it meets the x axis

0 = -16t^2 + 80

-80 = -16t^2

5 = t^2

t = sqrt(5)

t =2.23

This is Graph D

Answer:

see below

Step-by-step explanation:

The sum of the interior angles of any polygon can be found with the formula 180(n - 2) where n = number of sides. In this case, n = 6 so the answer is 180(6 - 2) = 180 * 4 = 720°.

Answer:

The sum of the interior angles of a regular hexagon is 720°

Step-by-step explanation:

As we know that the sum of interior angle is 180(n-2). So the number of sides of hexagon is 6. Now, 180(6-2)=180*4=720°

Answer:

The correct option is C.

Step-by-step explanation:

The two patterns are defined as follows:

Form the two patterns as follows:

Pattern A : 20, 18, 16, 14, 12, 10, 8, 6, 4, 2, 0

Pattern B : 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0

The first several terms of Patterns A and B are shown by:

Pattern A: 20, 18, 16, 14, 12, 10

Pattern B: 20, 19, 18, 17, 16, 15

Thus, the correct option is C.

Answer:

A. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-cherry, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lollipop, lollipop-lemon

Step-by-step explanation:

From the above question, we are told that both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop

There are two events here's

2 people = Fred and Ed

3 bags of different sweets = Lemon Cherry and Lollipop

The number of ways that both of them can eat this singly is calculated using combination formula

C(n, r) = nCr = n!/r! (n - r)!

n = 3, r = 2 = 3C2 = 3!/2! (3 - 2)!

= 3 × 2 × 1/2 × 1

= 3

We were asked to find the possible pairs

Hence = 3² = 9

There are 9 possible pairs through which Fred and Ed can eat their sweets and they are:

1) Lemon - Lemon

2) Cherry - Cherry

3) Lollipop - Lollipop

4) Lemon - Cherry

5) Cherry - Lemon

6) Lollipop - Cherry

7) Cherry - Lollipop

8) Lollipop - Lemon

9) Lemon - Lollipop.

Therefore, Option A is the correct option

Answer:

LEMONS BURN YOUR HOUSE DOWN JK its this A. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-cherry, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lollipop, lollipop-lemon

Step-by-step explanation:

From the above question, we are told that both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop

There are two events here's

2 people = Fred and Ed

3 bags of different sweets = Lemon Cherry and Lollipop

The number of ways that both of them can eat this singly is calculated using combination formula

C(n, r) = nCr = n!/r! (n - r)!

n = 3, r = 2 = 3C2 = 3!/2! (3 - 2)!

= 3 × 2 × 1/2 × 1

= 3

We were asked to find the possible pairs

Hence = 3² = 9

There are 9 possible pairs through which Fred and Ed can eat their sweets and they are:

1) Lemon - Lemon

2) Cherry - Cherry

3) Lollipop - Lollipop

4) Lemon - Cherry

5) Cherry - Lemon

6) Lollipop - Cherry

7) Cherry - Lollipop

8) Lollipop - Lemon

9) Lemon - Lollipop.

Therefore, Option A is the correct option

Answer:

16 slices

Step-by-step explanation:

4 apples times 4 slices (as there is 4 slices per apple)

So, 4×4=16

Hope this helps :)

Answer:

1 = tenths place

7= hundredths place

8= thousandths place

9= ten-thousandths place

Step-by-step explanation:

Answer:

Step-by-step explanation:

Taxable income = $ 91,307

Tax for $ 17,850 = 10% of 17850 = 0.1*17850 = $ 1785

Tax for $17,850 to $72,500 = 15% of (72,500-17850) = 0.15* 54650 = $ 8197.5

Tax  $72,500 to $91,307 = 25% of (91307-72500)=0.25*18807= $ 4701.75

Total tax = 1785 + 8197.5 + 4701.75 = 14684.25

Total tax = $14684

Answer:

In short, 0 is the only number such that for any number x, x + 0 = x. ... So, the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1

Answer:The zero exponent rule states that any term with an exponent of zero is equal to one. This lesson will go into the rule in more detail, explaining how it works and giving some examples. There will also be a quiz to test your knowledge.

The zero exponent rule is one of the rules that will help you simplify exponents. Let's first define some terms as they relate to exponents. When you have a number or variable raised to a power, the number (or variable) is called the base, while the superscript number is called the exponent, or power.

Usually, you'll see this written with the base being a normal-size number (or letter, if you're working with a variable). The exponent will be in a slightly smaller font, raised a little up above and to the right of the base. However, in some formats, like this one, you'll see the base, a mark called a caret that looks like an inverted V, and then the exponent. So if you have a base of 2 and an exponent of 3, we'll write that out here as 2^3 = 8.

Now that you know the terms, let's go back to the zero exponent rule. The zero exponent rule basically says that any base with an exponent of zero is equal to one. For example:

x^0 = 1

Answer:

2. A

3. C

4. B

Step-by-step explanation:

2. To answer # 2, just add all the sides together...

(5x-7) + (3x-4) + (2x-6)

=  10x - 17

3. To answer # 3, divide/mulitply both the numerators and denominators by the same number and check to see if that answer matches the displayed answer...

a) 28 divided by 7 is 4,  so divide the whole fraction by 7 to see if the fraction is proportional...  

  28/7 = 4

  49/7 = 7

   [tex]\frac{4}{7} =\frac{4}{7}[/tex]

b) 4 goes into 16  4 times so multiply [tex]\frac{4}{7}[/tex] by 4...

   4 x 4 = 16

   7 x 4 = 28

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

c) 4 goes into 16 4 times so multiply the whole fraction by 4...

   4 x 4 = 16

   7 x 4 = 28

   [tex]\frac{16}{28}[/tex] ≠ [tex]\frac{16}{35}[/tex]

d) 4 goes into 20 5 times to multiply the whole fraction by 5...

   4 x 5 = 20

   7 x 5 = 35

   [tex]\frac{20}{35} = \frac{20}{35}[/tex]

C is the answer because the fractions are not proportional.

4) 25% is a quarter of 100%. A third of 100% is 75%.

   $120 - 0.25($120) = $90

   Another expression for the for sale price is...

   B) 0.75($120) = $90

The table represents a function because each input (x-value) corresponds to exactly one output (y-value)

If we had repeated x values, then that is a sign we don't have a function. So for instance, if we had the two points (1,5) and (1,6) then we don't have a function because the input x = 1 corresponds to outputs y = 5 and y = 6 simultaneously.

Note: the y values are allowed to repeat and we still have a function, but this function is not one-to-one because of the repeated value y = 2.

Answer:

No idea dude

Step-by-step explanation:

I just need points

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Answer:

-13a

Step-by-step explanation:

Since -8 and -5 have like variables, you can subtract them. -8-5 is -13, so the answer is -13a.

Answer:

-13a

Step-by-step explanation:

These two numbers are already like terms, so you can subtract it easily.  

First, don't look at the a.

-8-5= -13 because if something is negative and gets subtracted, that means it'll still be negative.

Now that we now it equals -13, we can add the variable a back onto the answer.  We get -13a.  

The Variable d in the equation represents the time per minute Lilianna spends walking to the park

The equation:

d(3/4 + 1) = 12 1/4

d(3+4/4) = 12 1/4

d(7/4) = 49/4

d = 49/4 ÷ 7/4

= 49/4 × 4/7

= 49/7

d = 7

Complete question:

Lilianna uses 3/4 calories per minute just by sitting. She uses 1 more calorie per minute by walking. Liliana uses a total of 12 1/4 calories walking to the park. Lilianna uses the equation, d(3/4+1)=12 1/4 to represent the situation. What does the variable d represent in the equation?

Learn more about variable:

https://brainly.com/question/11885867

#SPJ1

We know

[tex]\boxed{\sf Surface\:area=4\pi r^2}[/tex]

[tex]\\ \sf\longmapsto 4\pi r^2=7238[/tex]

[tex]\\ \sf\longmapsto 4\times \dfrac{22}{7}r^2=7238[/tex]

[tex]\\ \sf\longmapsto r^2=\dfrac{7238\times 7}{88}[/tex]

[tex]\\ \sf\longmapsto r^2=\dfrac{5066}{88}[/tex]

[tex]\\ \sf\longmapsto r^2=575.75[/tex]

[tex]\\ \sf\longmapsto r^2\approx576[/tex]

[tex]\\ \sf\longmapsto r\approx\sqrt{576}[/tex]

[tex]\\ \sf\longmapsto r\approx24in[/tex]

Answer:

B. 24 in.

Step-by-step explanation:

The given problem supplies as with the surface area of the beach ball and we are to look for the required radius. Assuming that the beach ball is perfectly shaped in the form of a sphere, then the formula for calculating the surface area of a sphere is given as:

SA = 4 π r^2

where r is the radius of the sphere and SA is the surface area which is given to be 7238 in^2

Rewriting the formula in terms of r:

r^2 = SA / 4 π

r = sqrt (SA / 4 π)

Solving for r:

r = sqrt (7238 in^2 / 4 π)

r = 24 in

Answer:

24 inches

Answer:

b. 25

Step-by-step explanation:

To have an infinite number of solutions, both equations must be equal.

-2x + 5y = 23

-10x + ky = 115

Multiply both sides of the first equation by 5 and write it. Rewrite the second equation below the first equation.

-10x + 25y = 115

-10x + ky = 115

For the equations to be equal, you must have

25y = ky

Divide both sides by y.

k = 25

Answer: b. 25

Answer:

60 ounces.

Step-by-step explanation:

Given:

A mixture contains 5 parts of white paint for every 4 parts of blue paint.

i.e. Ratio of white paint : blue paint = 5 : 4

Quantity of White paint = 75 ounces

To find:

How many ounces of blue paint = ?

Solution:

Here, we are given the ratio of white and blue paint in the mixture.

Also, we are given the quantity of white paint in the paint can.

And we have to find the quantity of other paint in the can.

Let us use all the given statements to find the unknown quantity of blue paint.

Ratio of white paint : blue paint= Ratio of quantity of white paint: blue paint

[tex]\dfrac{5}{4} = \dfrac{75}{\text{Quantity of blue paint}}\\\Rightarrow \text{Quantity of blue paint} = 15 \times 4\\\Rightarrow \text{Quantity of blue paint} = 60\ ounces[/tex]

So, the quantity of blue paint in the can is 60 ounces.

Answer:

Its 14

Step-by-step explanation:

8+6=14

Answer:

The answer is 16

08

+ 06

----------

16

Hope it helps ;)

Please mark as brainliest

Answer:

Step-by-step explanation:

Answer:

By applying intersecting chords angle theorem:-

[tex]m\angle BPD= 106[/tex]° [tex]=1/2(BD+AC)[/tex]

[tex]=1/2(146+66)[/tex]

[tex]=1/2\time(212)[/tex]°

[tex]m\angle BPD=106[/tex]°

Answer:- D) 106°

OAmalOHopeO

Step-by-step explanation:

it is simple you know

make 3 month into year by 3/12

then solve it using formula

Answer:

The correct option is;

b. Stem and leaf plot

Step-by-step explanation:

A stem-and-leaf plot shows the data shape and the densities of the different classes in a graphical form such that the information in the data such as the data characteristics are self displayed by the data numbers arranged in the stem-and-leaf plot. The stem-and-leaf plot keeps the raw numerical data, in the form they were obtained and by their arrangement, outliers are easily spotted.

Answer:  b. stem-and-leaf plot

Step-by-step explanation:

hope this helps

Answer:

liquidity

Step-by-step explanation:

when the bank gets only electronic money transfers, they don't get actual money. so, they can use that only for other electronic transfers, but if there is the need for actual money (e.g. a lot of people need a cash payout), the bank is then not able to do that. they don't have enough cash = they are not liquid.

which can actually lead to insolvency.

Answer:

12 inches

Step-by-step explanation:

Volume of cone = (πr²h)/3

Volume of cone= 113.04 cubic inches

π = 3.14 r= 3 inches

113.04 = [(3.14)(3²)(h)]/3

113.04= 9.42h

h=12 inches