Read Fred's conclusion. If the sum of the digits of a number is a multiple of 3. then the number is a multiple of 6. Which statement best summarizes Fred's conclusion? The conclusion is true.

A .The number 42 is an example The conclusion is true.
B There are no counterexamples The is false.
C There are no counterexamples. The conclusion is false.
D The number 45 is a counterexample​

Answers

Answer 1

Answer:

the answer would be a because 42÷6=7 and 42÷3=14.

Answer 2

The correct answer is option A) The number 42 is an example The conclusion is true.

42 is a multiple of both 3 and 6.

How many does multiple mean?

Containing more than once, or more than one; consisting of more than one; manifold; repeated many times; having several, or many, parts.

What is a multiple in math?

A multiple in math is the number you get when you multiply a certain number by an integer. For example, multiples of 5 are: 10, 15, 20, 25, 30…etc. Multiples of 7 are: 14, 21, 28, 35, 42, 49…etc.

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Related Questions

The value of x + x(2x) when x = 2 is: (a) 10, (b) 16, (c) 18, (d) 36, (e) 64

Answers

[tex]x+x(2x)=x+2x^2\\\\\text{when x =2}\\\\2+ 2(2)^2 = 2+ 2(4) = 2+ 8 = 10[/tex]

[tex]\text{So, the answer is (a).}[/tex]

3.In the wild, a giant panda bear's diet consists primarily of bamboo, but in a zoo, the diet
includes other foods. On the first two days of the week, the giant panda bear at your zoo eats 34
pounds of highly nutritious biscuits and 37 pounds of bamboo, respectively.
Use inductive reasoning to create two possible sequences that describe the giant panda bear's
daily diet. Write the first five terms of each sequence.
First Sequence:
Second Sequence:
Describe the pattern you used to write each sequence. Which sequence do you think is more
likely? Explain your reasoning.

Answers

The sequence gives the order in which the the different types of foods are

given to the giant panda.

The possible first five terms of the sequences are;

[tex]\begin{tabular}{l|c|c|c|c|c|}Sequence Term& 1&2&3&4&5\\First Sequence&Biscuits&Bamboo&Biscuits&Bamboo&Biscuits\\Second Sequence&Biscuits /Bamboo&Bamboo&Bamboo/Biscuit&Bicuits &B/Bamboo\end{array}\right][/tex]

The sequence that is more likely is the First Sequence

Reasons:

Inductive reasoning is the reasoning based on the given observation

What the giant panda bear at the zoo eats on the first two days of the week are;

First day; 34 pounds of highly nutritious biscuits

Second day; 37 pounds of bamboo

Given that the number of terms in the sequence = 5

By inductive reasoning, we have;

[tex]\begin{tabular}{l|c|c|c|c|c|}Sequence Term& 1&2&3&4&5\\First Sequence&Biscuits&Bamboo&Biscuits&Bamboo&Biscuits\\Second Sequence&Biscuits /Bamboo&Bamboo&Bamboo/Biscuit&Bicuits &B/Bamboo\end{array}\right][/tex]

The pattern used to write the First Sequence is as follows;

Alternating diet of biscuit and bamboo, such that the panda has a balanced diet during the 5 periods of the sequence.

The pattern used to create the Second Sequence is as follow;

Alternating days in which the panda has a mixed diet of biscuit and bamboo, followed by alternating single meal of bamboo and biscuit.

The sequence that is more likely is the First Sequence

The reason why the first sequence is more likely is that it ensures that the panda eats adequate amount of each diet, thereby making the panda healthier, and cleaning the zoo much easier.

Learn more about inductive reasoning here:

https://brainly.com/question/2192957

https://brainly.com/question/12522297

what is 12 3/4 divided by 3

Answers

Answer:

4.25 as decimal and 4 1/4 as a fraction

Step-by-step explanation:

Select all equations that have 5
as a solution by using substitution to determine if the eqution is true.

Answers

1 is A I am sure I hope this helped

Please I need help with this

Answers

180° in a triangle.
One angle is given 40°
Another angle can be found by 180-102=78°
180-78-40=62°
62+x=180
x=118°

Solve for equation for x: 5^2 – 10x – 6 = 0

Answers

Answer: x= 1.9

Step-by-step explanation:


[tex]f(x) = {x}^{3 } + {3x}^{2} - 9x + 5[/tex]
which of the following are roots of a polynomial function?
check all that apply
a[tex]1 - \sqrt{3} [/tex]
b
[tex]1 + \sqrt{3} [/tex]
c
[tex] - 5[/tex]
D
[tex]3 - \sqrt{2} [/tex]
E
[tex]3 + \sqrt{2} [/tex]
F
[tex]1[/tex]

Answers

Answer:

[tex]f(1) = {(1)}^{3} + 3 {(1)}^{2} - 9(1) + 5 \\ (x - 1) = 0 \rightarrow \: x = 1 \\\frac{{x}^{3 } + {3x}^{2} - 9x + 5}{x - 1} = {x}^{2} + 4x - 5 \\ (x + 5)(x - 1) = 0 \\ x = - 5 \: or \: x = 1 \\ \color{red}\boxed{x_{1} = 1} \\\color{yellow} \boxed {x_{2} = 1} \\ \color{green}\boxed{x_{3} = - 5} [/tex]

The answer would be C and F

Answer: 1 & -5

Step-by-step explanation

(a) The perimeter of a rectangular garden is 320 m.
If the width of the garden is 74 m, what is its length?

(b) The area of a rectangular window is 5723 cm?
If the length of the window is 97 cm, what is its width?
Width of the window: cm what is the width

Answers

Answer:

86 m, 59 cm

Step-by-step explanation:

a. perimeter is 2L + 2W

320 = 2L + 2(74)

320 = 2L + 148

172 = 2L

86 m is length

b. area = L x w

5723 = 97 x w

5723/97 = 2

59 cm is width

Which relation is a function?

Answers

Answer:

D is a function.

Step-by-step explanation:

cause the line is related to both x and y

The relation that represents a function is the relation (d)

Checking the relations that are functions

From the question, we have the following parameters that can be used in our computation:

The relations (1) to (4) represent the given parameter

Next, we test the options

Relation (1)

This relation is not a function

This is because it fails the vertical line test i.e. some output values all point to the same input value,

Relation (2)

This relation is not a function

This is because it fails the vertical line test i.e. some output values all point to the same input value,

Relation (3)

This relation is not a function

This is because it fails the vertical line test i.e. some output values all point to the same input value,

Relation (4)

This relation is a function

This is because the inputs all point to different output values

Hence, the relation that is a function is graph (d)

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Decrease £110 by 50%

Answers

Half of 110 is 55 so the answer is 55

Answer:

£55

Step-by-step explanation:

50% is just another way to say 1/2. This means that 1/2 of £110 is £55.

help with this please i dont understand?

Answers

a) Evaluate the given function at each value of x. We have f(x) = 2x + 3.

• If x = -2, then

f(-2) = 2 (-2) + 3 = -4 + 3 = -1

• If x = -1, then

f(-1) = 2 (-1) + 3 = -2 + 3 = 1

• If x = 0, then

f(0) = 2 (0) + 3 = 0 + 3 = 3

and so on.

b) Kind of a silly question. Of course f(x) is a function, the instructions for part (a) say so!

But the real reason f(x) is indeed a function is that no single value of x returns more than one value of f(x).

The answer to this question?

Answers

Answer:

1. 59  2.90  4.31   3. Sorry I dunno

Step-by-step explanation:

1. the 59 degrees is the same.

2. It's a perfect angle

3. Sorry

4.180-90-59=31

Faith earned $565 last week. She earned the same amount each
day. If she worked 5 days, how much did she earn each day? Draw
models to help you find the quotient.

Answers

Answer:

113 each day

Step-by-step explanation: i cant draw it out but just put it into a bubble or something sorry

$113 each day

Divide $565 by 5 and you get $113
So you would have 5 groups of 113

PLEASE HELP ME SOLVE THIS!!!​

Answers

Answer:

c. m < 13

Step-by-step explanation:

13 - 7 is equal to 6 so m must be less than 13 to be less than 6.

How do you add fractions with a whole number? Please explain the rules of it too! To be marked as brainliest

Answers

Hello this is how you do it!<3

9/4 = 21/4 therefore, 9/4 = 21/4

24/10 try to reduce the numerator and denominator by a common denominator 24/10 divided 2/2 = 12/5

16/2 divided 2/2 = 8/1 = 8

I hoped that help!<3

20 charecters lol pls solve

Answers

Answer:

-3x+12

Since we are adding like terms you add everything that has an "x" after it [(3.4x) + (-5.4x) + (-x)] it all that adds up to -3x and the you add the 12 to it. It could also be written 12-3x

If I have a 93.3 in my class and I took a test, got 75% on it (the test is worth 20 points) what would my grade be? I need help ASAP!!!!

Answers

Answer:

it will be an 91 or 88

Step-by-step explanation:

2,548 rounded to the nearest hundred

Answers

Answer:

the answer is  2,500

Step-by-step explanation:

any number higher than 5 you round up but any number lower than 5 you round down.

4 is lower than 5 so you round it down and the 5 stays the same, and replace it with 0's.

The circle graph summarizes the results of a
survey of 2800 Internet users who make
purchases online. Use this graph to answer the
following question
Online Spending per Month
$0-$15 22.5%
$15-S185 59.1%
Over 185 18.4%
Find the ratio of number of respondents who
spend $0-$15 online to number of respondents
who spend $15_$185 online. Write the ratio as a
fraction with whole numbers in the numerator
and denominator.

Answers

Over 185 18.4% i took this test i got in 100

I NEED HELP PLEASE AGAIN LAST THREE FOR THE NIGHT

Answers

Answer

First one is A

Second one is B

Third one is D

Problem 1

Answer: Choice A

(30, 225); Rocket reaches max height of 225 ft after 30 seconds.

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

Explanation:

Distribute the 0.25 through to get

y = 0.25(60x-x^2)

y = 15x - 0.25x^2

y = -0.25x^2 + 15x

This is in standard form y = ax^2+bx+c with a = -0.25, b = 15 and c = 0.

The first two values mentioned lead to this x coordinate of the vertex.

h = -b/(2a)

h = -15/(2*(-0.25))

h = -15/(-0.5)

h = 30

This tells us the answer is between A and C.

If you were to plug x = 30 into the original equation, you'll get y = 225. It means that after x = 30 seconds, the rocket has reached its max height of 225 feet. Therefore, the answer must be choice A.

===========================================================

Problem 2

Answer:  Choice B

(x-3)^2 = -8(y-6)

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

Explanation:

vertex = base of the bulb = (3,6)

focus = top of the bulb = (3,4)

This flashlight is pointed downward, which forms a downward opening parabola.

The distance from the vertex to the focus is p = 2 units. This is known as the focal distance.

We'll plug that in along with the vertex (h,k) = (3,6) in the formula below

4p(y-k) = (x-h)^2

4*2(y-6) = (x-3)^2

8(y-6) = (x-3)^2

Unfortunately that equation above produces a parabola that opens upward. To fix things, we stick a negative out front on either side, which will reflect the parabola over the x axis to make the parabola open downward. That leads us to choice B.

===========================================================

Problem 3

Answer:  D) square

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

Explanation:

We can form a point by intersecting the plane through the point where the two cones meet. The plane needs to be parallel to the base of each cone.

We can also form a line. To do so, we intersect the plane at exactly  along the edge of the cone. Make the plane tangent to the cone.

Lastly, we can form a circle by intersecting any plane parallel to the cone's base. This plane cannot pass through the meeting point of the two cones. Rather, the plane passes through one of the cones.

Those three previous paragraphs mean that we can rule out choices A,B,C. The only thing we can't form is a square. We can form straight lines, but we cannot form perpendicular lines needed to get a square. Nice work on selecting the correct answer.

Evaluate the coefficient of x^5 and x^4 in the binomial expansion of (x/3-3)^7. Hence find the coefficient of x^5 in (x/3-3)^7(x-6)

Answers

Recall the binomial theorem:

[tex]\displaystyle (a + b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k[/tex]

where [tex]\binom nk = \frac{n!}{k!(n-k)!}[/tex] is the binomial coefficient.

Take a = x/3, b = -3, and n = 7. Then we get the x⁵ and x⁴ terms when 7 - k = 5 and 7 - k = 4, respectively; or when k = 2 and k = 3.

[tex]k=2 \implies \dbinom 72 \left(\dfrac x3\right)^{7-2} (-3)^2 = 21 \cdot \dfrac{x^5}{243} \cdot 9 = \dfrac79 x^5[/tex]

[tex]k=3 \implies \dbinom 73 \left(\dfrac x3\right)^{7-3} (-3)^3 = 35 \cdot \dfrac{x^4}{81} \cdot (-27) = -\dfrac{35}3 x^4[/tex]

Then when multiplying this expansion by x - 6, we get an x⁵ terms from the products

[tex]\dfrac79 x^5 \cdot (-6)[/tex]

and

[tex]-\dfrac{35}3 x^4 \cdot x[/tex]

so that the x⁵ term in the overall expansion of (x/3 - 3)⁷ (x -  6) has a coefficient of

[tex]\dfrac79\cdot(-6) + \left(-\dfrac{35}3\right) \cdot 1 = \boxed{-\dfrac{49}3}[/tex]

The points (0,3) and (1,12) are solutions of an exponential function. What is the equation of the exponential function?

A) h(x) = 3(4)x
B) h(x) = 4(3)x
C) h(x) = 4(1∕3)x
D) h(x) = 3(0.25)x

Answers

Answer:

A

Step-by-step explanation:

An exponential function has the form

y = a[tex](b)^{x}[/tex]

Use the given solutions to find a and b

Using (0, 3 ) , then

3 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , so

a = 3

y = 3[tex](b)^{x}[/tex]

Using (1, 12 ) , then

12 = 3[tex]b^{1}[/tex] = 3b ( divide both sides by 3 )

4 = b , then

h(x) = 3[tex](4)^{x}[/tex] → A

Simplify the expression by combining like terms.
6x + 9 + 2x + 4

Does anyone know the answer?

Answers

Answer:

8x + 13

Step-by-step explanation:

"Like terms" means the same kind of algebraic expression...the 6x and the 2x are "like terms" because they both have an x in them. The 9 and the 4 are both constants, which means they are plain numbers. So 6x and 2x is 8x .

9+4 is 13 just like elementary school.

So all together,

6x + 9 + 2x + 4

6x + 2x + 9 + 4

8x + 13

We can rearrange the terms because the problem has all addition in between the terms.

last month, a store sent 2,014 emails to customers about sales. the number of e-mails sent the month before was 2,104. Use one of the symbols <, >, or = to compare the two numbers to compare the two numbers of e-mails sent. Explain how you used the digits to determine your answer

Answers

Answer:

Last month (2,014) = (2,014) Month before last month

Your answer would be 2,014 = 2,014

The digits are all the same. Therefore, I concluded that the numbers were the same. This means that a equal sign should be used.

Hope this helps. Pls mark brainliest. :S

x-2/5=2/3-3x-2/6
solve for x

Answers

i think the answer is 11/60

Given that
P
=
x
+
y
.
Find
P
when:
x
=
3
and
y
=

11

Answers

Answer:

-8

Step-by-step explanation:

Pluck in the values:

P = 3 + (-11)

P = 3 - 11 = -8

the distance between -2,4 and 2,6​

Answers

The distance between -2,4 is 6

The distance between 2,6 is 4

You can use a number line as a reference!

Hope this helps!
Brainliest and a like is much appreciated!

mayam bought potato chips to school she share 1/4 of her chips with friends and 1/8 of her chips with her teacher how many has she shared in all?

Answers

[tex]\huge\underline\mathtt\colorbox{cyan}{3/8}[/tex]

[tex]\huge\mathsf\colorbox{white}{}[/tex]

Step-by-step explanation :

Total shared part:

1/4 + 1/8

Taking LCM and adding:

2/8+1/8

Adding gives:

3/8

Solve the inequality 15 ≥ q + 3

Answers

Answer:

[tex]q\le \:12[/tex]

Step-by-step explanation:

Solving

[tex]\mathrm{Switch\:sides}[/tex]  (Not a required step)

[tex]q+3\le \:15[/tex]

[tex]\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}[/tex]

[tex]q+3-3\le \:15-3\\=q\le \:12[/tex]

[tex]\bold{q\le \:12}[/tex]

Graphing

How to perform aerial math for following:

5.1 x 3.5 X 0.5+9.4

Answers

I could be wrong, but I would say it's 18.325
Other Questions
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